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10^251-3^251 linear algebra log

fivemack Jul 7th, 2019 97 Never
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  1. Mon Jul  1 23:42:23 2019  
  2. Mon Jul  1 23:42:23 2019  
  3. Mon Jul  1 23:42:23 2019  Msieve v. 1.53 (SVN 993)
  4. Mon Jul  1 23:42:23 2019  random seeds: bbb8323f 5633f61b
  5. Mon Jul  1 23:42:23 2019  factoring 109974666451851003188870339558873546755583697943965750536987840822600667844003075982048054456223482273607833004899479717870037538538827295357356234617958597760370036619432976243413945400213638268079660325528994527304339 (219 digits)
  6. Mon Jul  1 23:42:25 2019  no P-1/P+1/ECM available, skipping
  7. Mon Jul  1 23:42:25 2019  commencing number field sieve (219-digit input)
  8. Mon Jul  1 23:42:25 2019  R0: 1000000000000000000000000000000000000000000
  9. Mon Jul  1 23:42:25 2019  R1: -109418989131512359209
  10. Mon Jul  1 23:42:25 2019  A0: -10
  11. Mon Jul  1 23:42:25 2019  A1: 0
  12. Mon Jul  1 23:42:25 2019  A2: 0
  13. Mon Jul  1 23:42:25 2019  A3: 0
  14. Mon Jul  1 23:42:25 2019  A4: 0
  15. Mon Jul  1 23:42:25 2019  A5: 0
  16. Mon Jul  1 23:42:25 2019  A6: 3
  17. Mon Jul  1 23:42:25 2019  skew 1.22, size 3.136e-12, alpha -0.420, combined = 2.642e-13 rroots = 2
  18. Mon Jul  1 23:42:25 2019  
  19. Mon Jul  1 23:42:25 2019  commencing relation filtering
  20. Mon Jul  1 23:42:25 2019  setting target matrix density to 70.0
  21. Mon Jul  1 23:42:25 2019  estimated available RAM is 95375.2 MB
  22. Mon Jul  1 23:42:25 2019  commencing duplicate removal, pass 1
  23.   1 errors
  24. Tue Jul  2 00:21:05 2019  skipped 4 relations with composite factors
  25. Tue Jul  2 00:21:05 2019  found 8116353 hash collisions in 192220302 relations
  26. Tue Jul  2 00:21:29 2019  added 1218206 free relations
  27. Tue Jul  2 00:21:29 2019  commencing duplicate removal, pass 2
  28. Tue Jul  2 00:22:50 2019  found 0 duplicates and 193438508 unique relations
  29. Tue Jul  2 00:22:50 2019  memory use: 522.4 MB
  30. Tue Jul  2 00:22:50 2019  reading ideals above 720000
  31. Tue Jul  2 00:22:50 2019  commencing singleton removal, initial pass
  32. Tue Jul  2 01:11:17 2019  memory use: 5512.0 MB
  33. Tue Jul  2 01:11:17 2019  reading all ideals from disk
  34. Tue Jul  2 01:11:24 2019  memory use: 7673.9 MB
  35. Tue Jul  2 01:12:05 2019  keeping 178361002 ideals with weight <= 200, target excess is 955935
  36. Tue Jul  2 01:12:56 2019  commencing in-memory singleton removal
  37. Tue Jul  2 01:13:25 2019  begin with 193438508 relations and 178361002 unique ideals
  38. Tue Jul  2 01:19:47 2019  reduce to 127396820 relations and 105736829 ideals in 15 passes
  39. Tue Jul  2 01:19:47 2019  max relations containing the same ideal: 162
  40. Tue Jul  2 01:21:47 2019  removing 11375303 relations and 9375303 ideals in 2000000 cliques
  41. Tue Jul  2 01:21:53 2019  commencing in-memory singleton removal
  42. Tue Jul  2 01:22:10 2019  begin with 116021517 relations and 105736829 unique ideals
  43. Tue Jul  2 01:25:29 2019  reduce to 115174902 relations and 95497255 ideals in 10 passes
  44. Tue Jul  2 01:25:29 2019  max relations containing the same ideal: 149
  45. Tue Jul  2 01:27:06 2019  removing 8702967 relations and 6702967 ideals in 2000000 cliques
  46. Tue Jul  2 01:27:12 2019  commencing in-memory singleton removal
  47. Tue Jul  2 01:27:26 2019  begin with 106471935 relations and 95497255 unique ideals
  48. Tue Jul  2 01:30:04 2019  reduce to 105911209 relations and 88223384 ideals in 9 passes
  49. Tue Jul  2 01:30:04 2019  max relations containing the same ideal: 143
  50. Tue Jul  2 01:31:33 2019  removing 7906410 relations and 5906410 ideals in 2000000 cliques
  51. Tue Jul  2 01:31:38 2019  commencing in-memory singleton removal
  52. Tue Jul  2 01:31:52 2019  begin with 98004799 relations and 88223384 unique ideals
  53. Tue Jul  2 01:34:00 2019  reduce to 97505358 relations and 81808471 ideals in 8 passes
  54. Tue Jul  2 01:34:00 2019  max relations containing the same ideal: 136
  55. Tue Jul  2 01:35:24 2019  removing 7508366 relations and 5508366 ideals in 2000000 cliques
  56. Tue Jul  2 01:35:29 2019  commencing in-memory singleton removal
  57. Tue Jul  2 01:35:41 2019  begin with 89996992 relations and 81808471 unique ideals
  58. Tue Jul  2 01:37:40 2019  reduce to 89519569 relations and 75813558 ideals in 8 passes
  59. Tue Jul  2 01:37:40 2019  max relations containing the same ideal: 129
  60. Tue Jul  2 01:38:56 2019  removing 7279380 relations and 5279380 ideals in 2000000 cliques
  61. Tue Jul  2 01:39:01 2019  commencing in-memory singleton removal
  62. Tue Jul  2 01:39:12 2019  begin with 82240189 relations and 75813558 unique ideals
  63. Tue Jul  2 01:40:46 2019  reduce to 81763086 relations and 70047478 ideals in 7 passes
  64. Tue Jul  2 01:40:46 2019  max relations containing the same ideal: 123
  65. Tue Jul  2 01:41:56 2019  removing 7136277 relations and 5136277 ideals in 2000000 cliques
  66. Tue Jul  2 01:42:01 2019  commencing in-memory singleton removal
  67. Tue Jul  2 01:42:11 2019  begin with 74626809 relations and 70047478 unique ideals
  68. Tue Jul  2 01:43:46 2019  reduce to 74134681 relations and 64408216 ideals in 8 passes
  69. Tue Jul  2 01:43:46 2019  max relations containing the same ideal: 113
  70. Tue Jul  2 01:44:50 2019  removing 7046697 relations and 5046697 ideals in 2000000 cliques
  71. Tue Jul  2 01:44:55 2019  commencing in-memory singleton removal
  72. Tue Jul  2 01:45:03 2019  begin with 67087984 relations and 64408216 unique ideals
  73. Tue Jul  2 01:46:28 2019  reduce to 66571880 relations and 58832953 ideals in 8 passes
  74. Tue Jul  2 01:46:28 2019  max relations containing the same ideal: 109
  75. Tue Jul  2 01:47:26 2019  removing 6997396 relations and 4997396 ideals in 2000000 cliques
  76. Tue Jul  2 01:47:30 2019  commencing in-memory singleton removal
  77. Tue Jul  2 01:47:38 2019  begin with 59574484 relations and 58832953 unique ideals
  78. Tue Jul  2 01:48:42 2019  reduce to 59015322 relations and 53261896 ideals in 7 passes
  79. Tue Jul  2 01:48:42 2019  max relations containing the same ideal: 100
  80. Tue Jul  2 01:49:34 2019  removing 6978496 relations and 4978496 ideals in 2000000 cliques
  81. Tue Jul  2 01:49:38 2019  commencing in-memory singleton removal
  82. Tue Jul  2 01:49:44 2019  begin with 52036826 relations and 53261896 unique ideals
  83. Tue Jul  2 01:50:47 2019  reduce to 51418948 relations and 47647171 ideals in 8 passes
  84. Tue Jul  2 01:50:47 2019  max relations containing the same ideal: 88
  85. Tue Jul  2 01:51:32 2019  removing 6988333 relations and 4988333 ideals in 2000000 cliques
  86. Tue Jul  2 01:51:36 2019  commencing in-memory singleton removal
  87. Tue Jul  2 01:51:41 2019  begin with 44430615 relations and 47647171 unique ideals
  88. Tue Jul  2 01:52:41 2019  reduce to 43717711 relations and 41922144 ideals in 9 passes
  89. Tue Jul  2 01:52:41 2019  max relations containing the same ideal: 82
  90. Tue Jul  2 01:53:19 2019  removing 3012970 relations and 2326288 ideals in 686682 cliques
  91. Tue Jul  2 01:53:22 2019  commencing in-memory singleton removal
  92. Tue Jul  2 01:53:27 2019  begin with 40704741 relations and 41922144 unique ideals
  93. Tue Jul  2 01:54:06 2019  reduce to 40556839 relations and 39445986 ideals in 7 passes
  94. Tue Jul  2 01:54:06 2019  max relations containing the same ideal: 76
  95. Tue Jul  2 01:54:51 2019  relations with 0 large ideals: 36319
  96. Tue Jul  2 01:54:51 2019  relations with 1 large ideals: 20876
  97. Tue Jul  2 01:54:51 2019  relations with 2 large ideals: 260944
  98. Tue Jul  2 01:54:51 2019  relations with 3 large ideals: 1528466
  99. Tue Jul  2 01:54:51 2019  relations with 4 large ideals: 4854779
  100. Tue Jul  2 01:54:51 2019  relations with 5 large ideals: 9214405
  101. Tue Jul  2 01:54:51 2019  relations with 6 large ideals: 10885816
  102. Tue Jul  2 01:54:51 2019  relations with 7+ large ideals: 13755234
  103. Tue Jul  2 01:54:51 2019  commencing 2-way merge
  104. Tue Jul  2 01:55:34 2019  reduce to 26539705 relation sets and 25428852 unique ideals
  105. Tue Jul  2 01:55:34 2019  commencing full merge
  106. Tue Jul  2 02:06:38 2019  memory use: 3071.0 MB
  107. Tue Jul  2 02:06:43 2019  found 14325148 cycles, need 14171052
  108. Tue Jul  2 02:06:52 2019  weight of 14171052 cycles is about 992176980 (70.01/cycle)
  109. Tue Jul  2 02:06:52 2019  distribution of cycle lengths:
  110. Tue Jul  2 02:06:52 2019  1 relations: 1666844
  111. Tue Jul  2 02:06:52 2019  2 relations: 1754316
  112. Tue Jul  2 02:06:52 2019  3 relations: 1753901
  113. Tue Jul  2 02:06:52 2019  4 relations: 1643016
  114. Tue Jul  2 02:06:52 2019  5 relations: 1518187
  115. Tue Jul  2 02:06:52 2019  6 relations: 1343581
  116. Tue Jul  2 02:06:52 2019  7 relations: 1157230
  117. Tue Jul  2 02:06:52 2019  8 relations: 947848
  118. Tue Jul  2 02:06:52 2019  9 relations: 742576
  119. Tue Jul  2 02:06:52 2019  10+ relations: 1643553
  120. Tue Jul  2 02:06:52 2019  heaviest cycle: 19 relations
  121. Tue Jul  2 02:07:01 2019  commencing cycle optimization
  122. Tue Jul  2 02:07:34 2019  start with 73952711 relations
  123. Tue Jul  2 02:10:19 2019  pruned 1883433 relations
  124. Tue Jul  2 02:10:20 2019  memory use: 2431.0 MB
  125. Tue Jul  2 02:10:20 2019  distribution of cycle lengths:
  126. Tue Jul  2 02:10:20 2019  1 relations: 1666844
  127. Tue Jul  2 02:10:20 2019  2 relations: 1790828
  128. Tue Jul  2 02:10:20 2019  3 relations: 1815970
  129. Tue Jul  2 02:10:20 2019  4 relations: 1687377
  130. Tue Jul  2 02:10:20 2019  5 relations: 1562542
  131. Tue Jul  2 02:10:20 2019  6 relations: 1369611
  132. Tue Jul  2 02:10:20 2019  7 relations: 1174068
  133. Tue Jul  2 02:10:20 2019  8 relations: 943160
  134. Tue Jul  2 02:10:20 2019  9 relations: 725402
  135. Tue Jul  2 02:10:20 2019  10+ relations: 1435250
  136. Tue Jul  2 02:10:20 2019  heaviest cycle: 19 relations
  137. Tue Jul  2 02:10:58 2019  RelProcTime: 8913
  138. Tue Jul  2 02:10:58 2019  elapsed time 02:28:35
  139. Tue Jul  2 02:10:59 2019  
  140. Tue Jul  2 02:10:59 2019  
  141. Tue Jul  2 02:10:59 2019  Msieve v. 1.53 (SVN 993)
  142. Tue Jul  2 02:10:59 2019  random seeds: 822c214f f92a01d2
  143. Tue Jul  2 02:10:59 2019  factoring 109974666451851003188870339558873546755583697943965750536987840822600667844003075982048054456223482273607833004899479717870037538538827295357356234617958597760370036619432976243413945400213638268079660325528994527304339 (219 digits)
  144. Tue Jul  2 02:11:01 2019  no P-1/P+1/ECM available, skipping
  145. Tue Jul  2 02:11:01 2019  commencing number field sieve (219-digit input)
  146. Tue Jul  2 02:11:01 2019  R0: 1000000000000000000000000000000000000000000
  147. Tue Jul  2 02:11:01 2019  R1: -109418989131512359209
  148. Tue Jul  2 02:11:01 2019  A0: -10
  149. Tue Jul  2 02:11:01 2019  A1: 0
  150. Tue Jul  2 02:11:01 2019  A2: 0
  151. Tue Jul  2 02:11:01 2019  A3: 0
  152. Tue Jul  2 02:11:01 2019  A4: 0
  153. Tue Jul  2 02:11:01 2019  A5: 0
  154. Tue Jul  2 02:11:01 2019  A6: 3
  155. Tue Jul  2 02:11:01 2019  skew 1.22, size 3.136e-12, alpha -0.420, combined = 2.642e-13 rroots = 2
  156. Tue Jul  2 02:11:01 2019  
  157. Tue Jul  2 02:11:01 2019  commencing relation filtering
  158. Tue Jul  2 02:11:01 2019  setting target matrix density to 134.0
  159. Tue Jul  2 02:11:01 2019  estimated available RAM is 95375.2 MB
  160. Tue Jul  2 02:11:01 2019  commencing duplicate removal, pass 1
  161.   1 errors
  162. Tue Jul  2 02:50:15 2019  skipped 4 relations with composite factors
  163. Tue Jul  2 02:50:15 2019  found 8216369 hash collisions in 193438508 relations
  164. Tue Jul  2 02:50:33 2019  commencing duplicate removal, pass 2
  165. Tue Jul  2 02:51:53 2019  found 0 duplicates and 193438508 unique relations
  166. Tue Jul  2 02:51:53 2019  memory use: 522.4 MB
  167. Tue Jul  2 02:51:53 2019  reading ideals above 720000
  168. Tue Jul  2 02:51:53 2019  commencing singleton removal, initial pass
  169. Tue Jul  2 03:39:44 2019  memory use: 5512.0 MB
  170. Tue Jul  2 03:39:44 2019  reading all ideals from disk
  171. Tue Jul  2 03:39:51 2019  memory use: 7673.9 MB
  172. Tue Jul  2 03:40:34 2019  keeping 178361002 ideals with weight <= 200, target excess is 955935
  173. Tue Jul  2 03:41:27 2019  commencing in-memory singleton removal
  174. Tue Jul  2 03:41:56 2019  begin with 193438508 relations and 178361002 unique ideals
  175. Tue Jul  2 03:48:24 2019  reduce to 127396820 relations and 105736829 ideals in 15 passes
  176. Tue Jul  2 03:48:24 2019  max relations containing the same ideal: 162
  177. Tue Jul  2 03:50:28 2019  removing 11375303 relations and 9375303 ideals in 2000000 cliques
  178. Tue Jul  2 03:50:34 2019  commencing in-memory singleton removal
  179. Tue Jul  2 03:50:51 2019  begin with 116021517 relations and 105736829 unique ideals
  180. Tue Jul  2 03:54:09 2019  reduce to 115174902 relations and 95497255 ideals in 10 passes
  181. Tue Jul  2 03:54:09 2019  max relations containing the same ideal: 149
  182. Tue Jul  2 03:55:53 2019  removing 8702967 relations and 6702967 ideals in 2000000 cliques
  183. Tue Jul  2 03:55:59 2019  commencing in-memory singleton removal
  184. Tue Jul  2 03:56:14 2019  begin with 106471935 relations and 95497255 unique ideals
  185. Tue Jul  2 03:58:55 2019  reduce to 105911209 relations and 88223384 ideals in 9 passes
  186. Tue Jul  2 03:58:55 2019  max relations containing the same ideal: 143
  187. Tue Jul  2 04:00:28 2019  removing 7906410 relations and 5906410 ideals in 2000000 cliques
  188. Tue Jul  2 04:00:33 2019  commencing in-memory singleton removal
  189. Tue Jul  2 04:00:47 2019  begin with 98004799 relations and 88223384 unique ideals
  190. Tue Jul  2 04:02:57 2019  reduce to 97505358 relations and 81808471 ideals in 8 passes
  191. Tue Jul  2 04:02:57 2019  max relations containing the same ideal: 136
  192. Tue Jul  2 04:04:20 2019  removing 7508366 relations and 5508366 ideals in 2000000 cliques
  193. Tue Jul  2 04:04:25 2019  commencing in-memory singleton removal
  194. Tue Jul  2 04:04:37 2019  begin with 89996992 relations and 81808471 unique ideals
  195. Tue Jul  2 04:06:34 2019  reduce to 89519569 relations and 75813558 ideals in 8 passes
  196. Tue Jul  2 04:06:34 2019  max relations containing the same ideal: 129
  197. Tue Jul  2 04:07:51 2019  removing 7279380 relations and 5279380 ideals in 2000000 cliques
  198. Tue Jul  2 04:07:56 2019  commencing in-memory singleton removal
  199. Tue Jul  2 04:08:07 2019  begin with 82240189 relations and 75813558 unique ideals
  200. Tue Jul  2 04:09:41 2019  reduce to 81763086 relations and 70047478 ideals in 7 passes
  201. Tue Jul  2 04:09:41 2019  max relations containing the same ideal: 123
  202. Tue Jul  2 04:10:51 2019  removing 7136277 relations and 5136277 ideals in 2000000 cliques
  203. Tue Jul  2 04:10:56 2019  commencing in-memory singleton removal
  204. Tue Jul  2 04:11:06 2019  begin with 74626809 relations and 70047478 unique ideals
  205. Tue Jul  2 04:12:41 2019  reduce to 74134681 relations and 64408216 ideals in 8 passes
  206. Tue Jul  2 04:12:41 2019  max relations containing the same ideal: 113
  207. Tue Jul  2 04:13:44 2019  removing 7046697 relations and 5046697 ideals in 2000000 cliques
  208. Tue Jul  2 04:13:49 2019  commencing in-memory singleton removal
  209. Tue Jul  2 04:13:58 2019  begin with 67087984 relations and 64408216 unique ideals
  210. Tue Jul  2 04:15:24 2019  reduce to 66571880 relations and 58832953 ideals in 8 passes
  211. Tue Jul  2 04:15:24 2019  max relations containing the same ideal: 109
  212. Tue Jul  2 04:16:21 2019  removing 6997396 relations and 4997396 ideals in 2000000 cliques
  213. Tue Jul  2 04:16:26 2019  commencing in-memory singleton removal
  214. Tue Jul  2 04:16:33 2019  begin with 59574484 relations and 58832953 unique ideals
  215. Tue Jul  2 04:17:39 2019  reduce to 59015322 relations and 53261896 ideals in 7 passes
  216. Tue Jul  2 04:17:39 2019  max relations containing the same ideal: 100
  217. Tue Jul  2 04:18:31 2019  removing 6978496 relations and 4978496 ideals in 2000000 cliques
  218. Tue Jul  2 04:18:35 2019  commencing in-memory singleton removal
  219. Tue Jul  2 04:18:42 2019  begin with 52036826 relations and 53261896 unique ideals
  220. Tue Jul  2 04:19:45 2019  reduce to 51418948 relations and 47647171 ideals in 8 passes
  221. Tue Jul  2 04:19:45 2019  max relations containing the same ideal: 88
  222. Tue Jul  2 04:20:30 2019  removing 6988333 relations and 4988333 ideals in 2000000 cliques
  223. Tue Jul  2 04:20:33 2019  commencing in-memory singleton removal
  224. Tue Jul  2 04:20:39 2019  begin with 44430615 relations and 47647171 unique ideals
  225. Tue Jul  2 04:21:39 2019  reduce to 43717711 relations and 41922144 ideals in 9 passes
  226. Tue Jul  2 04:21:39 2019  max relations containing the same ideal: 82
  227. Tue Jul  2 04:22:17 2019  removing 3012970 relations and 2326288 ideals in 686682 cliques
  228. Tue Jul  2 04:22:20 2019  commencing in-memory singleton removal
  229. Tue Jul  2 04:22:25 2019  begin with 40704741 relations and 41922144 unique ideals
  230. Tue Jul  2 04:23:06 2019  reduce to 40556839 relations and 39445986 ideals in 7 passes
  231. Tue Jul  2 04:23:06 2019  max relations containing the same ideal: 76
  232. Tue Jul  2 04:23:50 2019  relations with 0 large ideals: 36319
  233. Tue Jul  2 04:23:50 2019  relations with 1 large ideals: 20876
  234. Tue Jul  2 04:23:50 2019  relations with 2 large ideals: 260944
  235. Tue Jul  2 04:23:50 2019  relations with 3 large ideals: 1528466
  236. Tue Jul  2 04:23:50 2019  relations with 4 large ideals: 4854779
  237. Tue Jul  2 04:23:50 2019  relations with 5 large ideals: 9214405
  238. Tue Jul  2 04:23:50 2019  relations with 6 large ideals: 10885816
  239. Tue Jul  2 04:23:50 2019  relations with 7+ large ideals: 13755234
  240. Tue Jul  2 04:23:50 2019  commencing 2-way merge
  241. Tue Jul  2 04:24:33 2019  reduce to 26539705 relation sets and 25428852 unique ideals
  242. Tue Jul  2 04:24:33 2019  commencing full merge
  243. Tue Jul  2 05:02:28 2019  memory use: 1182.7 MB
  244. Tue Jul  2 05:02:28 2019  found 91042 cycles, need 5821135
  245. Tue Jul  2 05:02:28 2019  too few cycles, matrix probably cannot build
  246. Tue Jul  2 05:02:28 2019  
  247. Tue Jul  2 05:02:28 2019  
  248. Tue Jul  2 05:02:28 2019  Msieve v. 1.53 (SVN 993)
  249. Tue Jul  2 05:02:28 2019  random seeds: 9535423d ebea9eae
  250. Tue Jul  2 05:02:28 2019  factoring 109974666451851003188870339558873546755583697943965750536987840822600667844003075982048054456223482273607833004899479717870037538538827295357356234617958597760370036619432976243413945400213638268079660325528994527304339 (219 digits)
  251. Tue Jul  2 05:02:30 2019  no P-1/P+1/ECM available, skipping
  252. Tue Jul  2 05:02:30 2019  commencing number field sieve (219-digit input)
  253. Tue Jul  2 05:02:30 2019  R0: 1000000000000000000000000000000000000000000
  254. Tue Jul  2 05:02:30 2019  R1: -109418989131512359209
  255. Tue Jul  2 05:02:30 2019  A0: -10
  256. Tue Jul  2 05:02:30 2019  A1: 0
  257. Tue Jul  2 05:02:30 2019  A2: 0
  258. Tue Jul  2 05:02:30 2019  A3: 0
  259. Tue Jul  2 05:02:30 2019  A4: 0
  260. Tue Jul  2 05:02:30 2019  A5: 0
  261. Tue Jul  2 05:02:30 2019  A6: 3
  262. Tue Jul  2 05:02:30 2019  skew 1.22, size 3.136e-12, alpha -0.420, combined = 2.642e-13 rroots = 2
  263. Tue Jul  2 05:02:30 2019  
  264. Tue Jul  2 05:02:30 2019  commencing relation filtering
  265. Tue Jul  2 05:02:30 2019  setting target matrix density to 102.0
  266. Tue Jul  2 05:02:30 2019  estimated available RAM is 95375.2 MB
  267. Tue Jul  2 05:02:30 2019  commencing duplicate removal, pass 1
  268.   1 errors
  269. Tue Jul  2 05:41:33 2019  skipped 4 relations with composite factors
  270. Tue Jul  2 05:41:33 2019  found 8216369 hash collisions in 193438508 relations
  271. Tue Jul  2 05:41:51 2019  commencing duplicate removal, pass 2
  272. Tue Jul  2 05:43:11 2019  found 0 duplicates and 193438508 unique relations
  273. Tue Jul  2 05:43:11 2019  memory use: 522.4 MB
  274. Tue Jul  2 05:43:11 2019  reading ideals above 720000
  275. Tue Jul  2 05:43:11 2019  commencing singleton removal, initial pass
  276. Tue Jul  2 06:32:16 2019  memory use: 5512.0 MB
  277. Tue Jul  2 06:32:16 2019  reading all ideals from disk
  278. Tue Jul  2 06:32:23 2019  memory use: 7673.9 MB
  279. Tue Jul  2 06:33:07 2019  keeping 178361002 ideals with weight <= 200, target excess is 955935
  280. Tue Jul  2 06:34:01 2019  commencing in-memory singleton removal
  281. Tue Jul  2 06:34:29 2019  begin with 193438508 relations and 178361002 unique ideals
  282. Tue Jul  2 06:40:57 2019  reduce to 127396820 relations and 105736829 ideals in 15 passes
  283. Tue Jul  2 06:40:57 2019  max relations containing the same ideal: 162
  284. Tue Jul  2 06:42:59 2019  removing 11375303 relations and 9375303 ideals in 2000000 cliques
  285. Tue Jul  2 06:43:06 2019  commencing in-memory singleton removal
  286. Tue Jul  2 06:43:23 2019  begin with 116021517 relations and 105736829 unique ideals
  287. Tue Jul  2 06:46:32 2019  reduce to 115174902 relations and 95497255 ideals in 10 passes
  288. Tue Jul  2 06:46:32 2019  max relations containing the same ideal: 149
  289. Tue Jul  2 06:48:08 2019  removing 8702967 relations and 6702967 ideals in 2000000 cliques
  290. Tue Jul  2 06:48:14 2019  commencing in-memory singleton removal
  291. Tue Jul  2 06:48:28 2019  begin with 106471935 relations and 95497255 unique ideals
  292. Tue Jul  2 06:51:07 2019  reduce to 105911209 relations and 88223384 ideals in 9 passes
  293. Tue Jul  2 06:51:07 2019  max relations containing the same ideal: 143
  294. Tue Jul  2 06:52:37 2019  removing 7906410 relations and 5906410 ideals in 2000000 cliques
  295. Tue Jul  2 06:52:43 2019  commencing in-memory singleton removal
  296. Tue Jul  2 06:52:56 2019  begin with 98004799 relations and 88223384 unique ideals
  297. Tue Jul  2 06:55:08 2019  reduce to 97505358 relations and 81808471 ideals in 8 passes
  298. Tue Jul  2 06:55:08 2019  max relations containing the same ideal: 136
  299. Tue Jul  2 06:56:31 2019  removing 7508366 relations and 5508366 ideals in 2000000 cliques
  300. Tue Jul  2 06:56:35 2019  commencing in-memory singleton removal
  301. Tue Jul  2 06:56:48 2019  begin with 89996992 relations and 81808471 unique ideals
  302. Tue Jul  2 06:58:46 2019  reduce to 89519569 relations and 75813558 ideals in 8 passes
  303. Tue Jul  2 06:58:46 2019  max relations containing the same ideal: 129
  304. Tue Jul  2 07:00:02 2019  removing 7279380 relations and 5279380 ideals in 2000000 cliques
  305. Tue Jul  2 07:00:07 2019  commencing in-memory singleton removal
  306. Tue Jul  2 07:00:18 2019  begin with 82240189 relations and 75813558 unique ideals
  307. Tue Jul  2 07:01:50 2019  reduce to 81763086 relations and 70047478 ideals in 7 passes
  308. Tue Jul  2 07:01:50 2019  max relations containing the same ideal: 123
  309. Tue Jul  2 07:03:01 2019  removing 7136277 relations and 5136277 ideals in 2000000 cliques
  310. Tue Jul  2 07:03:05 2019  commencing in-memory singleton removal
  311. Tue Jul  2 07:03:16 2019  begin with 74626809 relations and 70047478 unique ideals
  312. Tue Jul  2 07:04:52 2019  reduce to 74134681 relations and 64408216 ideals in 8 passes
  313. Tue Jul  2 07:04:52 2019  max relations containing the same ideal: 113
  314. Tue Jul  2 07:05:57 2019  removing 7046697 relations and 5046697 ideals in 2000000 cliques
  315. Tue Jul  2 07:06:00 2019  commencing in-memory singleton removal
  316. Tue Jul  2 07:06:09 2019  begin with 67087984 relations and 64408216 unique ideals
  317. Tue Jul  2 07:07:35 2019  reduce to 66571880 relations and 58832953 ideals in 8 passes
  318. Tue Jul  2 07:07:35 2019  max relations containing the same ideal: 109
  319. Tue Jul  2 07:08:33 2019  removing 6997396 relations and 4997396 ideals in 2000000 cliques
  320. Tue Jul  2 07:08:37 2019  commencing in-memory singleton removal
  321. Tue Jul  2 07:08:45 2019  begin with 59574484 relations and 58832953 unique ideals
  322. Tue Jul  2 07:09:49 2019  reduce to 59015322 relations and 53261896 ideals in 7 passes
  323. Tue Jul  2 07:09:49 2019  max relations containing the same ideal: 100
  324. Tue Jul  2 07:10:40 2019  removing 6978496 relations and 4978496 ideals in 2000000 cliques
  325. Tue Jul  2 07:10:44 2019  commencing in-memory singleton removal
  326. Tue Jul  2 07:10:51 2019  begin with 52036826 relations and 53261896 unique ideals
  327. Tue Jul  2 07:11:54 2019  reduce to 51418948 relations and 47647171 ideals in 8 passes
  328. Tue Jul  2 07:11:54 2019  max relations containing the same ideal: 88
  329. Tue Jul  2 07:12:38 2019  removing 6988333 relations and 4988333 ideals in 2000000 cliques
  330. Tue Jul  2 07:12:42 2019  commencing in-memory singleton removal
  331. Tue Jul  2 07:12:47 2019  begin with 44430615 relations and 47647171 unique ideals
  332. Tue Jul  2 07:13:46 2019  reduce to 43717711 relations and 41922144 ideals in 9 passes
  333. Tue Jul  2 07:13:46 2019  max relations containing the same ideal: 82
  334. Tue Jul  2 07:14:24 2019  removing 3012970 relations and 2326288 ideals in 686682 cliques
  335. Tue Jul  2 07:14:27 2019  commencing in-memory singleton removal
  336. Tue Jul  2 07:14:32 2019  begin with 40704741 relations and 41922144 unique ideals
  337. Tue Jul  2 07:15:14 2019  reduce to 40556839 relations and 39445986 ideals in 7 passes
  338. Tue Jul  2 07:15:14 2019  max relations containing the same ideal: 76
  339. Tue Jul  2 07:15:59 2019  relations with 0 large ideals: 36319
  340. Tue Jul  2 07:15:59 2019  relations with 1 large ideals: 20876
  341. Tue Jul  2 07:15:59 2019  relations with 2 large ideals: 260944
  342. Tue Jul  2 07:15:59 2019  relations with 3 large ideals: 1528466
  343. Tue Jul  2 07:15:59 2019  relations with 4 large ideals: 4854779
  344. Tue Jul  2 07:15:59 2019  relations with 5 large ideals: 9214405
  345. Tue Jul  2 07:15:59 2019  relations with 6 large ideals: 10885816
  346. Tue Jul  2 07:15:59 2019  relations with 7+ large ideals: 13755234
  347. Tue Jul  2 07:15:59 2019  commencing 2-way merge
  348. Tue Jul  2 07:16:43 2019  reduce to 26539705 relation sets and 25428852 unique ideals
  349. Tue Jul  2 07:16:43 2019  commencing full merge
  350. Tue Jul  2 07:33:19 2019  memory use: 3248.8 MB
  351. Tue Jul  2 07:33:23 2019  found 12564104 cycles, need 12437052
  352. Tue Jul  2 07:33:30 2019  weight of 12437052 cycles is about 1268935674 (102.03/cycle)
  353. Tue Jul  2 07:33:30 2019  distribution of cycle lengths:
  354. Tue Jul  2 07:33:30 2019  1 relations: 766619
  355. Tue Jul  2 07:33:30 2019  2 relations: 967220
  356. Tue Jul  2 07:33:30 2019  3 relations: 1068471
  357. Tue Jul  2 07:33:30 2019  4 relations: 1053878
  358. Tue Jul  2 07:33:30 2019  5 relations: 1042003
  359. Tue Jul  2 07:33:30 2019  6 relations: 1004252
  360. Tue Jul  2 07:33:30 2019  7 relations: 947803
  361. Tue Jul  2 07:33:30 2019  8 relations: 884363
  362. Tue Jul  2 07:33:30 2019  9 relations: 803585
  363. Tue Jul  2 07:33:30 2019  10+ relations: 3898858
  364. Tue Jul  2 07:33:30 2019  heaviest cycle: 26 relations
  365. Tue Jul  2 07:33:37 2019  commencing cycle optimization
  366. Tue Jul  2 07:34:16 2019  start with 94620583 relations
  367. Tue Jul  2 07:39:51 2019  pruned 3728777 relations
  368. Tue Jul  2 07:39:53 2019  memory use: 2652.9 MB
  369. Tue Jul  2 07:39:53 2019  distribution of cycle lengths:
  370. Tue Jul  2 07:39:53 2019  1 relations: 766619
  371. Tue Jul  2 07:39:53 2019  2 relations: 991590
  372. Tue Jul  2 07:39:53 2019  3 relations: 1112872
  373. Tue Jul  2 07:39:53 2019  4 relations: 1095172
  374. Tue Jul  2 07:39:53 2019  5 relations: 1088753
  375. Tue Jul  2 07:39:53 2019  6 relations: 1044879
  376. Tue Jul  2 07:39:53 2019  7 relations: 988101
  377. Tue Jul  2 07:39:53 2019  8 relations: 915210
  378. Tue Jul  2 07:39:53 2019  9 relations: 828078
  379. Tue Jul  2 07:39:53 2019  10+ relations: 3605778
  380. Tue Jul  2 07:39:53 2019  heaviest cycle: 26 relations
  381. Tue Jul  2 07:40:30 2019  RelProcTime: 9480
  382. Tue Jul  2 07:40:30 2019  elapsed time 02:38:02
  383. Tue Jul  2 07:40:31 2019  
  384. Tue Jul  2 07:40:31 2019  
  385. Tue Jul  2 07:40:31 2019  Msieve v. 1.53 (SVN 993)
  386. Tue Jul  2 07:40:31 2019  random seeds: a865eb9d 576d9817
  387. Tue Jul  2 07:40:31 2019  factoring 109974666451851003188870339558873546755583697943965750536987840822600667844003075982048054456223482273607833004899479717870037538538827295357356234617958597760370036619432976243413945400213638268079660325528994527304339 (219 digits)
  388. Tue Jul  2 07:40:32 2019  no P-1/P+1/ECM available, skipping
  389. Tue Jul  2 07:40:32 2019  commencing number field sieve (219-digit input)
  390. Tue Jul  2 07:40:32 2019  R0: 1000000000000000000000000000000000000000000
  391. Tue Jul  2 07:40:32 2019  R1: -109418989131512359209
  392. Tue Jul  2 07:40:32 2019  A0: -10
  393. Tue Jul  2 07:40:32 2019  A1: 0
  394. Tue Jul  2 07:40:32 2019  A2: 0
  395. Tue Jul  2 07:40:32 2019  A3: 0
  396. Tue Jul  2 07:40:32 2019  A4: 0
  397. Tue Jul  2 07:40:32 2019  A5: 0
  398. Tue Jul  2 07:40:32 2019  A6: 3
  399. Tue Jul  2 07:40:32 2019  skew 1.22, size 3.136e-12, alpha -0.420, combined = 2.642e-13 rroots = 2
  400. Tue Jul  2 07:40:32 2019  
  401. Tue Jul  2 07:40:32 2019  commencing relation filtering
  402. Tue Jul  2 07:40:32 2019  setting target matrix density to 118.0
  403. Tue Jul  2 07:40:32 2019  estimated available RAM is 95375.2 MB
  404. Tue Jul  2 07:40:32 2019  commencing duplicate removal, pass 1
  405.   1 errors
  406. Tue Jul  2 07:55:43 2019  
  407. Tue Jul  2 07:55:43 2019  Msieve v. 1.53 (SVN 993)
  408. Tue Jul  2 07:55:43 2019  random seeds: 5f7f705d e1ffb098
  409. Tue Jul  2 07:55:43 2019  factoring 109974666451851003188870339558873546755583697943965750536987840822600667844003075982048054456223482273607833004899479717870037538538827295357356234617958597760370036619432976243413945400213638268079660325528994527304339 (219 digits)
  410. Tue Jul  2 07:55:43 2019  
  411. Tue Jul  2 07:55:43 2019  
  412. Tue Jul  2 07:55:43 2019  Msieve v. 1.53 (SVN 993)
  413. Tue Jul  2 07:55:43 2019  random seeds: 17e8b5a5 7b0a48b0
  414. Tue Jul  2 07:55:43 2019  factoring 109974666451851003188870339558873546755583697943965750536987840822600667844003075982048054456223482273607833004899479717870037538538827295357356234617958597760370036619432976243413945400213638268079660325528994527304339 (219 digits)
  415. Tue Jul  2 07:55:43 2019  
  416. Tue Jul  2 07:55:43 2019  
  417. Tue Jul  2 07:55:43 2019  Msieve v. 1.53 (SVN 993)
  418. Tue Jul  2 07:55:43 2019  random seeds: fc9ae068 0bec913f
  419. Tue Jul  2 07:55:43 2019  factoring 109974666451851003188870339558873546755583697943965750536987840822600667844003075982048054456223482273607833004899479717870037538538827295357356234617958597760370036619432976243413945400213638268079660325528994527304339 (219 digits)
  420. Tue Jul  2 08:02:49 2019  
  421. Tue Jul  2 08:02:49 2019  
  422. Tue Jul  2 08:02:49 2019  Msieve v. 1.53 (SVN 993)
  423. Tue Jul  2 08:02:49 2019  random seeds: d1ccb566 600867e0
  424. Tue Jul  2 08:02:49 2019  factoring 109974666451851003188870339558873546755583697943965750536987840822600667844003075982048054456223482273607833004899479717870037538538827295357356234617958597760370036619432976243413945400213638268079660325528994527304339 (219 digits)
  425. Tue Jul  2 08:02:50 2019  no P-1/P+1/ECM available, skipping
  426. Tue Jul  2 08:02:50 2019  commencing number field sieve (219-digit input)
  427. Tue Jul  2 08:02:50 2019  R0: 1000000000000000000000000000000000000000000
  428. Tue Jul  2 08:02:50 2019  R1: -109418989131512359209
  429. Tue Jul  2 08:02:50 2019  A0: -10
  430. Tue Jul  2 08:02:50 2019  A1: 0
  431. Tue Jul  2 08:02:50 2019  A2: 0
  432. Tue Jul  2 08:02:50 2019  A3: 0
  433. Tue Jul  2 08:02:50 2019  A4: 0
  434. Tue Jul  2 08:02:50 2019  A5: 0
  435. Tue Jul  2 08:02:50 2019  A6: 3
  436. Tue Jul  2 08:02:50 2019  skew 1.22, size 3.136e-12, alpha -0.420, combined = 2.642e-13 rroots = 2
  437. Tue Jul  2 08:02:50 2019  
  438. Tue Jul  2 08:02:50 2019  commencing relation filtering
  439. Tue Jul  2 08:02:50 2019  setting target matrix density to 118.0
  440. Tue Jul  2 08:02:50 2019  estimated available RAM is 15964.6 MB
  441. Tue Jul  2 08:02:50 2019  commencing duplicate removal, pass 1
  442.   1 errors
  443. Tue Jul  2 08:21:19 2019  skipped 4 relations with composite factors
  444. Tue Jul  2 08:21:19 2019  found 8216369 hash collisions in 193438508 relations
  445. Tue Jul  2 08:21:28 2019  commencing duplicate removal, pass 2
  446. Tue Jul  2 08:22:13 2019  found 0 duplicates and 193438508 unique relations
  447. Tue Jul  2 08:22:13 2019  memory use: 522.4 MB
  448. Tue Jul  2 08:22:13 2019  reading ideals above 151584768
  449. Tue Jul  2 08:22:13 2019  commencing singleton removal, initial pass
  450. Tue Jul  2 08:35:52 2019  memory use: 3012.0 MB
  451. Tue Jul  2 08:35:52 2019  reading all ideals from disk
  452. Tue Jul  2 08:35:59 2019  memory use: 3476.1 MB
  453. Tue Jul  2 08:36:06 2019  commencing in-memory singleton removal
  454. Tue Jul  2 08:36:14 2019  begin with 193438508 relations and 162264793 unique ideals
  455. Tue Jul  2 08:37:30 2019  reduce to 127400669 relations and 89644701 ideals in 15 passes
  456. Tue Jul  2 08:37:30 2019  max relations containing the same ideal: 43
  457. Tue Jul  2 08:37:36 2019  reading ideals above 720000
  458. Tue Jul  2 08:37:36 2019  commencing singleton removal, initial pass
  459. Tue Jul  2 08:49:33 2019  memory use: 2756.0 MB
  460. Tue Jul  2 08:49:34 2019  reading all ideals from disk
  461. Tue Jul  2 08:49:45 2019  memory use: 5040.9 MB
  462. Tue Jul  2 08:50:03 2019  keeping 106061214 ideals with weight <= 200, target excess is 635399
  463. Tue Jul  2 08:50:18 2019  commencing in-memory singleton removal
  464. Tue Jul  2 08:50:27 2019  begin with 127400669 relations and 106061214 unique ideals
  465. Tue Jul  2 08:51:30 2019  reduce to 127396820 relations and 106057365 ideals in 7 passes
  466. Tue Jul  2 08:51:30 2019  max relations containing the same ideal: 200
  467. Tue Jul  2 08:52:16 2019  removing 11386281 relations and 9386281 ideals in 2000000 cliques
  468. Tue Jul  2 08:52:19 2019  commencing in-memory singleton removal
  469. Tue Jul  2 08:52:27 2019  begin with 116010539 relations and 106057365 unique ideals
  470. Tue Jul  2 08:53:48 2019  reduce to 115165194 relations and 95808120 ideals in 10 passes
  471. Tue Jul  2 08:53:48 2019  max relations containing the same ideal: 195
  472. Tue Jul  2 08:54:30 2019  removing 8712302 relations and 6712302 ideals in 2000000 cliques
  473. Tue Jul  2 08:54:33 2019  commencing in-memory singleton removal
  474. Tue Jul  2 08:54:40 2019  begin with 106452892 relations and 95808120 unique ideals
  475. Tue Jul  2 08:55:46 2019  reduce to 105893053 relations and 88525802 ideals in 9 passes
  476. Tue Jul  2 08:55:46 2019  max relations containing the same ideal: 186
  477. Tue Jul  2 08:56:25 2019  removing 7912902 relations and 5912902 ideals in 2000000 cliques
  478. Tue Jul  2 08:56:27 2019  commencing in-memory singleton removal
  479. Tue Jul  2 08:56:34 2019  begin with 97980151 relations and 88525802 unique ideals
  480. Tue Jul  2 08:57:28 2019  reduce to 97482432 relations and 82106143 ideals in 8 passes
  481. Tue Jul  2 08:57:28 2019  max relations containing the same ideal: 178
  482. Tue Jul  2 08:58:04 2019  removing 7514136 relations and 5514136 ideals in 2000000 cliques
  483. Tue Jul  2 08:58:06 2019  commencing in-memory singleton removal
  484. Tue Jul  2 08:58:12 2019  begin with 89968296 relations and 82106143 unique ideals
  485. Tue Jul  2 08:59:01 2019  reduce to 89492146 relations and 76106745 ideals in 8 passes
  486. Tue Jul  2 08:59:01 2019  max relations containing the same ideal: 169
  487. Tue Jul  2 08:59:34 2019  removing 7284449 relations and 5284449 ideals in 2000000 cliques
  488. Tue Jul  2 08:59:37 2019  commencing in-memory singleton removal
  489. Tue Jul  2 08:59:42 2019  begin with 82207697 relations and 76106745 unique ideals
  490. Tue Jul  2 09:00:27 2019  reduce to 81732250 relations and 70337256 ideals in 8 passes
  491. Tue Jul  2 09:00:27 2019  max relations containing the same ideal: 162
  492. Tue Jul  2 09:00:57 2019  removing 7141397 relations and 5141397 ideals in 2000000 cliques
  493. Tue Jul  2 09:00:59 2019  commencing in-memory singleton removal
  494. Tue Jul  2 09:01:05 2019  begin with 74590853 relations and 70337256 unique ideals
  495. Tue Jul  2 09:01:44 2019  reduce to 74100071 relations and 64694280 ideals in 8 passes
  496. Tue Jul  2 09:01:44 2019  max relations containing the same ideal: 150
  497. Tue Jul  2 09:02:12 2019  removing 7048789 relations and 5048789 ideals in 2000000 cliques
  498. Tue Jul  2 09:02:14 2019  commencing in-memory singleton removal
  499. Tue Jul  2 09:02:19 2019  begin with 67051282 relations and 64694280 unique ideals
  500. Tue Jul  2 09:02:54 2019  reduce to 66534843 relations and 59116850 ideals in 8 passes
  501. Tue Jul  2 09:02:54 2019  max relations containing the same ideal: 143
  502. Tue Jul  2 09:03:20 2019  removing 6999778 relations and 4999778 ideals in 2000000 cliques
  503. Tue Jul  2 09:03:21 2019  commencing in-memory singleton removal
  504. Tue Jul  2 09:03:25 2019  begin with 59535065 relations and 59116850 unique ideals
  505. Tue Jul  2 09:03:53 2019  reduce to 58979467 relations and 53546884 ideals in 7 passes
  506. Tue Jul  2 09:03:53 2019  max relations containing the same ideal: 131
  507. Tue Jul  2 09:04:15 2019  removing 6979714 relations and 4979714 ideals in 2000000 cliques
  508. Tue Jul  2 09:04:17 2019  commencing in-memory singleton removal
  509. Tue Jul  2 09:04:21 2019  begin with 51999753 relations and 53546884 unique ideals
  510. Tue Jul  2 09:04:48 2019  reduce to 51383705 relations and 47932836 ideals in 8 passes
  511. Tue Jul  2 09:04:48 2019  max relations containing the same ideal: 117
  512. Tue Jul  2 09:05:07 2019  removing 6988469 relations and 4988469 ideals in 2000000 cliques
  513. Tue Jul  2 09:05:09 2019  commencing in-memory singleton removal
  514. Tue Jul  2 09:05:12 2019  begin with 44395236 relations and 47932836 unique ideals
  515. Tue Jul  2 09:05:35 2019  reduce to 43685470 relations and 42210950 ideals in 8 passes
  516. Tue Jul  2 09:05:35 2019  max relations containing the same ideal: 104
  517. Tue Jul  2 09:05:52 2019  removing 3192813 relations and 2455356 ideals in 737457 cliques
  518. Tue Jul  2 09:05:53 2019  commencing in-memory singleton removal
  519. Tue Jul  2 09:05:56 2019  begin with 40492657 relations and 42210950 unique ideals
  520. Tue Jul  2 09:06:14 2019  reduce to 40326270 relations and 39586825 ideals in 7 passes
  521. Tue Jul  2 09:06:14 2019  max relations containing the same ideal: 99
  522. Tue Jul  2 09:06:34 2019  relations with 0 large ideals: 24219
  523. Tue Jul  2 09:06:34 2019  relations with 1 large ideals: 7712
  524. Tue Jul  2 09:06:34 2019  relations with 2 large ideals: 106067
  525. Tue Jul  2 09:06:34 2019  relations with 3 large ideals: 761794
  526. Tue Jul  2 09:06:34 2019  relations with 4 large ideals: 2996971
  527. Tue Jul  2 09:06:34 2019  relations with 5 large ideals: 7081040
  528. Tue Jul  2 09:06:34 2019  relations with 6 large ideals: 10480702
  529. Tue Jul  2 09:06:34 2019  relations with 7+ large ideals: 18867765
  530. Tue Jul  2 09:06:34 2019  commencing 2-way merge
  531. Tue Jul  2 09:06:53 2019  reduce to 26415394 relation sets and 25675949 unique ideals
  532. Tue Jul  2 09:06:53 2019  commencing full merge
  533. Tue Jul  2 09:14:27 2019  memory use: 3393.9 MB
  534. Tue Jul  2 09:14:29 2019  found 11911584 cycles, need 11892149
  535. Tue Jul  2 09:14:32 2019  weight of 11892149 cycles is about 1403646955 (118.03/cycle)
  536. Tue Jul  2 09:14:32 2019  distribution of cycle lengths:
  537. Tue Jul  2 09:14:32 2019  1 relations: 567945
  538. Tue Jul  2 09:14:32 2019  2 relations: 764714
  539. Tue Jul  2 09:14:32 2019  3 relations: 869551
  540. Tue Jul  2 09:14:32 2019  4 relations: 878036
  541. Tue Jul  2 09:14:32 2019  5 relations: 886780
  542. Tue Jul  2 09:14:32 2019  6 relations: 861708
  543. Tue Jul  2 09:14:32 2019  7 relations: 840243
  544. Tue Jul  2 09:14:32 2019  8 relations: 794619
  545. Tue Jul  2 09:14:32 2019  9 relations: 747652
  546. Tue Jul  2 09:14:32 2019  10+ relations: 4680901
  547. Tue Jul  2 09:14:32 2019  heaviest cycle: 28 relations
  548. Tue Jul  2 09:14:35 2019  commencing cycle optimization
  549. Tue Jul  2 09:14:52 2019  start with 104529958 relations
  550. Tue Jul  2 09:17:44 2019  pruned 4736827 relations
  551. Tue Jul  2 09:17:44 2019  memory use: 2750.7 MB
  552. Tue Jul  2 09:17:45 2019  distribution of cycle lengths:
  553. Tue Jul  2 09:17:45 2019  1 relations: 567945
  554. Tue Jul  2 09:17:45 2019  2 relations: 784123
  555. Tue Jul  2 09:17:45 2019  3 relations: 906929
  556. Tue Jul  2 09:17:45 2019  4 relations: 914594
  557. Tue Jul  2 09:17:45 2019  5 relations: 929234
  558. Tue Jul  2 09:17:45 2019  6 relations: 901861
  559. Tue Jul  2 09:17:45 2019  7 relations: 880561
  560. Tue Jul  2 09:17:45 2019  8 relations: 831251
  561. Tue Jul  2 09:17:45 2019  9 relations: 779208
  562. Tue Jul  2 09:17:45 2019  10+ relations: 4396443
  563. Tue Jul  2 09:17:45 2019  heaviest cycle: 28 relations
  564. Tue Jul  2 09:18:05 2019  RelProcTime: 4515
  565. Tue Jul  2 09:18:05 2019  elapsed time 01:15:16
  566. Tue Jul  2 09:18:05 2019  
  567. Tue Jul  2 09:18:05 2019  
  568. Tue Jul  2 09:18:05 2019  Msieve v. 1.53 (SVN 993)
  569. Tue Jul  2 09:18:05 2019  random seeds: 18dedb97 fbe8270b
  570. Tue Jul  2 09:18:05 2019  factoring 109974666451851003188870339558873546755583697943965750536987840822600667844003075982048054456223482273607833004899479717870037538538827295357356234617958597760370036619432976243413945400213638268079660325528994527304339 (219 digits)
  571. Tue Jul  2 09:18:06 2019  no P-1/P+1/ECM available, skipping
  572. Tue Jul  2 09:18:06 2019  commencing number field sieve (219-digit input)
  573. Tue Jul  2 09:18:06 2019  R0: 1000000000000000000000000000000000000000000
  574. Tue Jul  2 09:18:06 2019  R1: -109418989131512359209
  575. Tue Jul  2 09:18:06 2019  A0: -10
  576. Tue Jul  2 09:18:06 2019  A1: 0
  577. Tue Jul  2 09:18:06 2019  A2: 0
  578. Tue Jul  2 09:18:06 2019  A3: 0
  579. Tue Jul  2 09:18:06 2019  A4: 0
  580. Tue Jul  2 09:18:06 2019  A5: 0
  581. Tue Jul  2 09:18:06 2019  A6: 3
  582. Tue Jul  2 09:18:06 2019  skew 1.22, size 3.136e-12, alpha -0.420, combined = 2.642e-13 rroots = 2
  583. Tue Jul  2 09:18:06 2019  
  584. Tue Jul  2 09:18:06 2019  commencing relation filtering
  585. Tue Jul  2 09:18:06 2019  setting target matrix density to 126.0
  586. Tue Jul  2 09:18:06 2019  estimated available RAM is 15964.6 MB
  587. Tue Jul  2 09:18:06 2019  commencing duplicate removal, pass 1
  588.   1 errors
  589. Tue Jul  2 09:36:35 2019  skipped 4 relations with composite factors
  590. Tue Jul  2 09:36:35 2019  found 8216369 hash collisions in 193438508 relations
  591. Tue Jul  2 09:36:44 2019  commencing duplicate removal, pass 2
  592. Tue Jul  2 09:37:26 2019  found 0 duplicates and 193438508 unique relations
  593. Tue Jul  2 09:37:26 2019  memory use: 522.4 MB
  594. Tue Jul  2 09:37:26 2019  reading ideals above 151584768
  595. Tue Jul  2 09:37:26 2019  commencing singleton removal, initial pass
  596. Tue Jul  2 09:51:10 2019  memory use: 3012.0 MB
  597. Tue Jul  2 09:51:10 2019  reading all ideals from disk
  598. Tue Jul  2 09:51:18 2019  memory use: 3476.1 MB
  599. Tue Jul  2 09:51:25 2019  commencing in-memory singleton removal
  600. Tue Jul  2 09:51:33 2019  begin with 193438508 relations and 162264793 unique ideals
  601. Tue Jul  2 09:52:50 2019  reduce to 127400669 relations and 89644701 ideals in 15 passes
  602. Tue Jul  2 09:52:50 2019  max relations containing the same ideal: 43
  603. Tue Jul  2 09:52:55 2019  reading ideals above 720000
  604. Tue Jul  2 09:52:55 2019  commencing singleton removal, initial pass
  605. Tue Jul  2 10:04:40 2019  memory use: 2756.0 MB
  606. Tue Jul  2 10:04:40 2019  reading all ideals from disk
  607. Tue Jul  2 10:04:52 2019  memory use: 5040.9 MB
  608. Tue Jul  2 10:05:08 2019  keeping 106061214 ideals with weight <= 200, target excess is 635399
  609. Tue Jul  2 10:05:23 2019  commencing in-memory singleton removal
  610. Tue Jul  2 10:05:37 2019  begin with 127400669 relations and 106061214 unique ideals
  611. Tue Jul  2 10:06:54 2019  reduce to 127396820 relations and 106057365 ideals in 7 passes
  612. Tue Jul  2 10:06:54 2019  max relations containing the same ideal: 200
  613. Tue Jul  2 10:07:46 2019  removing 11386281 relations and 9386281 ideals in 2000000 cliques
  614. Tue Jul  2 10:07:49 2019  commencing in-memory singleton removal
  615. Tue Jul  2 10:07:57 2019  begin with 116010539 relations and 106057365 unique ideals
  616. Tue Jul  2 10:09:20 2019  reduce to 115165194 relations and 95808120 ideals in 10 passes
  617. Tue Jul  2 10:09:20 2019  max relations containing the same ideal: 195
  618. Tue Jul  2 10:10:03 2019  removing 8712302 relations and 6712302 ideals in 2000000 cliques
  619. Tue Jul  2 10:10:05 2019  commencing in-memory singleton removal
  620. Tue Jul  2 10:10:13 2019  begin with 106452892 relations and 95808120 unique ideals
  621. Tue Jul  2 10:11:20 2019  reduce to 105893053 relations and 88525802 ideals in 9 passes
  622. Tue Jul  2 10:11:20 2019  max relations containing the same ideal: 186
  623. Tue Jul  2 10:12:00 2019  removing 7912902 relations and 5912902 ideals in 2000000 cliques
  624. Tue Jul  2 10:12:02 2019  commencing in-memory singleton removal
  625. Tue Jul  2 10:12:09 2019  begin with 97980151 relations and 88525802 unique ideals
  626. Tue Jul  2 10:13:04 2019  reduce to 97482432 relations and 82106143 ideals in 8 passes
  627. Tue Jul  2 10:13:04 2019  max relations containing the same ideal: 178
  628. Tue Jul  2 10:13:40 2019  removing 7514136 relations and 5514136 ideals in 2000000 cliques
  629. Tue Jul  2 10:13:43 2019  commencing in-memory singleton removal
  630. Tue Jul  2 10:13:49 2019  begin with 89968296 relations and 82106143 unique ideals
  631. Tue Jul  2 10:14:39 2019  reduce to 89492146 relations and 76106745 ideals in 8 passes
  632. Tue Jul  2 10:14:39 2019  max relations containing the same ideal: 169
  633. Tue Jul  2 10:15:13 2019  removing 7284449 relations and 5284449 ideals in 2000000 cliques
  634. Tue Jul  2 10:15:15 2019  commencing in-memory singleton removal
  635. Tue Jul  2 10:15:20 2019  begin with 82207697 relations and 76106745 unique ideals
  636. Tue Jul  2 10:16:05 2019  reduce to 81732250 relations and 70337256 ideals in 8 passes
  637. Tue Jul  2 10:16:05 2019  max relations containing the same ideal: 162
  638. Tue Jul  2 10:16:37 2019  removing 7141397 relations and 5141397 ideals in 2000000 cliques
  639. Tue Jul  2 10:16:39 2019  commencing in-memory singleton removal
  640. Tue Jul  2 10:16:44 2019  begin with 74590853 relations and 70337256 unique ideals
  641. Tue Jul  2 10:17:24 2019  reduce to 74100071 relations and 64694280 ideals in 8 passes
  642. Tue Jul  2 10:17:24 2019  max relations containing the same ideal: 150
  643. Tue Jul  2 10:17:53 2019  removing 7048789 relations and 5048789 ideals in 2000000 cliques
  644. Tue Jul  2 10:17:55 2019  commencing in-memory singleton removal
  645. Tue Jul  2 10:17:59 2019  begin with 67051282 relations and 64694280 unique ideals
  646. Tue Jul  2 10:18:35 2019  reduce to 66534843 relations and 59116850 ideals in 8 passes
  647. Tue Jul  2 10:18:35 2019  max relations containing the same ideal: 143
  648. Tue Jul  2 10:19:01 2019  removing 6999778 relations and 4999778 ideals in 2000000 cliques
  649. Tue Jul  2 10:19:03 2019  commencing in-memory singleton removal
  650. Tue Jul  2 10:19:07 2019  begin with 59535065 relations and 59116850 unique ideals
  651. Tue Jul  2 10:19:35 2019  reduce to 58979467 relations and 53546884 ideals in 7 passes
  652. Tue Jul  2 10:19:35 2019  max relations containing the same ideal: 131
  653. Tue Jul  2 10:19:57 2019  removing 6979714 relations and 4979714 ideals in 2000000 cliques
  654. Tue Jul  2 10:19:59 2019  commencing in-memory singleton removal
  655. Tue Jul  2 10:20:03 2019  begin with 51999753 relations and 53546884 unique ideals
  656. Tue Jul  2 10:20:30 2019  reduce to 51383705 relations and 47932836 ideals in 8 passes
  657. Tue Jul  2 10:20:30 2019  max relations containing the same ideal: 117
  658. Tue Jul  2 10:20:50 2019  removing 6988469 relations and 4988469 ideals in 2000000 cliques
  659. Tue Jul  2 10:20:51 2019  commencing in-memory singleton removal
  660. Tue Jul  2 10:20:54 2019  begin with 44395236 relations and 47932836 unique ideals
  661. Tue Jul  2 10:21:17 2019  reduce to 43685470 relations and 42210950 ideals in 8 passes
  662. Tue Jul  2 10:21:17 2019  max relations containing the same ideal: 104
  663. Tue Jul  2 10:21:33 2019  removing 3192813 relations and 2455356 ideals in 737457 cliques
  664. Tue Jul  2 10:21:35 2019  commencing in-memory singleton removal
  665. Tue Jul  2 10:21:37 2019  begin with 40492657 relations and 42210950 unique ideals
  666. Tue Jul  2 10:21:55 2019  reduce to 40326270 relations and 39586825 ideals in 7 passes
  667. Tue Jul  2 10:21:55 2019  max relations containing the same ideal: 99
  668. Tue Jul  2 10:22:16 2019  relations with 0 large ideals: 24219
  669. Tue Jul  2 10:22:16 2019  relations with 1 large ideals: 7712
  670. Tue Jul  2 10:22:16 2019  relations with 2 large ideals: 106067
  671. Tue Jul  2 10:22:16 2019  relations with 3 large ideals: 761794
  672. Tue Jul  2 10:22:16 2019  relations with 4 large ideals: 2996971
  673. Tue Jul  2 10:22:16 2019  relations with 5 large ideals: 7081040
  674. Tue Jul  2 10:22:16 2019  relations with 6 large ideals: 10480702
  675. Tue Jul  2 10:22:16 2019  relations with 7+ large ideals: 18867765
  676. Tue Jul  2 10:22:16 2019  commencing 2-way merge
  677. Tue Jul  2 10:22:34 2019  reduce to 26415394 relation sets and 25675949 unique ideals
  678. Tue Jul  2 10:22:34 2019  commencing full merge
  679. Tue Jul  2 10:37:01 2019  memory use: 1187.7 MB
  680. Tue Jul  2 10:37:01 2019  found 67097 cycles, need 5586599
  681. Tue Jul  2 10:37:01 2019  too few cycles, matrix probably cannot build
  682. Tue Jul  2 10:37:02 2019  
  683. Tue Jul  2 10:37:02 2019  
  684. Tue Jul  2 10:37:02 2019  Msieve v. 1.53 (SVN 993)
  685. Tue Jul  2 10:37:02 2019  random seeds: 27bc560a 6f493cc7
  686. Tue Jul  2 10:37:02 2019  factoring 109974666451851003188870339558873546755583697943965750536987840822600667844003075982048054456223482273607833004899479717870037538538827295357356234617958597760370036619432976243413945400213638268079660325528994527304339 (219 digits)
  687. Tue Jul  2 10:37:02 2019  no P-1/P+1/ECM available, skipping
  688. Tue Jul  2 10:37:02 2019  commencing number field sieve (219-digit input)
  689. Tue Jul  2 10:37:02 2019  R0: 1000000000000000000000000000000000000000000
  690. Tue Jul  2 10:37:02 2019  R1: -109418989131512359209
  691. Tue Jul  2 10:37:02 2019  A0: -10
  692. Tue Jul  2 10:37:02 2019  A1: 0
  693. Tue Jul  2 10:37:02 2019  A2: 0
  694. Tue Jul  2 10:37:02 2019  A3: 0
  695. Tue Jul  2 10:37:02 2019  A4: 0
  696. Tue Jul  2 10:37:02 2019  A5: 0
  697. Tue Jul  2 10:37:02 2019  A6: 3
  698. Tue Jul  2 10:37:02 2019  skew 1.22, size 3.136e-12, alpha -0.420, combined = 2.642e-13 rroots = 2
  699. Tue Jul  2 10:37:02 2019  
  700. Tue Jul  2 10:37:02 2019  commencing relation filtering
  701. Tue Jul  2 10:37:02 2019  setting target matrix density to 122.0
  702. Tue Jul  2 10:37:02 2019  estimated available RAM is 15964.6 MB
  703. Tue Jul  2 10:37:02 2019  commencing duplicate removal, pass 1
  704.   1 errors
  705. Tue Jul  2 10:55:37 2019  skipped 4 relations with composite factors
  706. Tue Jul  2 10:55:37 2019  found 8216369 hash collisions in 193438508 relations
  707. Tue Jul  2 10:55:46 2019  commencing duplicate removal, pass 2
  708. Tue Jul  2 10:56:28 2019  found 0 duplicates and 193438508 unique relations
  709. Tue Jul  2 10:56:28 2019  memory use: 522.4 MB
  710. Tue Jul  2 10:56:28 2019  reading ideals above 151584768
  711. Tue Jul  2 10:56:28 2019  commencing singleton removal, initial pass
  712. Tue Jul  2 11:10:09 2019  memory use: 3012.0 MB
  713. Tue Jul  2 11:10:09 2019  reading all ideals from disk
  714. Tue Jul  2 11:10:16 2019  memory use: 3476.1 MB
  715. Tue Jul  2 11:10:24 2019  commencing in-memory singleton removal
  716. Tue Jul  2 11:10:31 2019  begin with 193438508 relations and 162264793 unique ideals
  717. Tue Jul  2 11:11:49 2019  reduce to 127400669 relations and 89644701 ideals in 15 passes
  718. Tue Jul  2 11:11:49 2019  max relations containing the same ideal: 43
  719. Tue Jul  2 11:11:54 2019  reading ideals above 720000
  720. Tue Jul  2 11:11:54 2019  commencing singleton removal, initial pass
  721. Tue Jul  2 11:23:48 2019  memory use: 2756.0 MB
  722. Tue Jul  2 11:23:48 2019  reading all ideals from disk
  723. Tue Jul  2 11:24:00 2019  memory use: 5040.9 MB
  724. Tue Jul  2 11:24:16 2019  keeping 106061214 ideals with weight <= 200, target excess is 635399
  725. Tue Jul  2 11:24:31 2019  commencing in-memory singleton removal
  726. Tue Jul  2 11:24:44 2019  begin with 127400669 relations and 106061214 unique ideals
  727. Tue Jul  2 11:26:02 2019  reduce to 127396820 relations and 106057365 ideals in 7 passes
  728. Tue Jul  2 11:26:02 2019  max relations containing the same ideal: 200
  729. Tue Jul  2 11:26:53 2019  removing 11386281 relations and 9386281 ideals in 2000000 cliques
  730. Tue Jul  2 11:26:56 2019  commencing in-memory singleton removal
  731. Tue Jul  2 11:27:04 2019  begin with 116010539 relations and 106057365 unique ideals
  732. Tue Jul  2 11:28:23 2019  reduce to 115165194 relations and 95808120 ideals in 10 passes
  733. Tue Jul  2 11:28:23 2019  max relations containing the same ideal: 195
  734. Tue Jul  2 11:29:05 2019  removing 8712302 relations and 6712302 ideals in 2000000 cliques
  735. Tue Jul  2 11:29:07 2019  commencing in-memory singleton removal
  736. Tue Jul  2 11:29:15 2019  begin with 106452892 relations and 95808120 unique ideals
  737. Tue Jul  2 11:30:19 2019  reduce to 105893053 relations and 88525802 ideals in 9 passes
  738. Tue Jul  2 11:30:19 2019  max relations containing the same ideal: 186
  739. Tue Jul  2 11:30:58 2019  removing 7912902 relations and 5912902 ideals in 2000000 cliques
  740. Tue Jul  2 11:31:01 2019  commencing in-memory singleton removal
  741. Tue Jul  2 11:31:07 2019  begin with 97980151 relations and 88525802 unique ideals
  742. Tue Jul  2 11:32:00 2019  reduce to 97482432 relations and 82106143 ideals in 8 passes
  743. Tue Jul  2 11:32:00 2019  max relations containing the same ideal: 178
  744. Tue Jul  2 11:32:36 2019  removing 7514136 relations and 5514136 ideals in 2000000 cliques
  745. Tue Jul  2 11:32:38 2019  commencing in-memory singleton removal
  746. Tue Jul  2 11:32:44 2019  begin with 89968296 relations and 82106143 unique ideals
  747. Tue Jul  2 11:33:32 2019  reduce to 89492146 relations and 76106745 ideals in 8 passes
  748. Tue Jul  2 11:33:32 2019  max relations containing the same ideal: 169
  749. Tue Jul  2 11:34:05 2019  removing 7284449 relations and 5284449 ideals in 2000000 cliques
  750. Tue Jul  2 11:34:08 2019  commencing in-memory singleton removal
  751. Tue Jul  2 11:34:13 2019  begin with 82207697 relations and 76106745 unique ideals
  752. Tue Jul  2 11:34:57 2019  reduce to 81732250 relations and 70337256 ideals in 8 passes
  753. Tue Jul  2 11:34:57 2019  max relations containing the same ideal: 162
  754. Tue Jul  2 11:35:27 2019  removing 7141397 relations and 5141397 ideals in 2000000 cliques
  755. Tue Jul  2 11:35:29 2019  commencing in-memory singleton removal
  756. Tue Jul  2 11:35:34 2019  begin with 74590853 relations and 70337256 unique ideals
  757. Tue Jul  2 11:36:14 2019  reduce to 74100071 relations and 64694280 ideals in 8 passes
  758. Tue Jul  2 11:36:14 2019  max relations containing the same ideal: 150
  759. Tue Jul  2 11:36:42 2019  removing 7048789 relations and 5048789 ideals in 2000000 cliques
  760. Tue Jul  2 11:36:44 2019  commencing in-memory singleton removal
  761. Tue Jul  2 11:36:48 2019  begin with 67051282 relations and 64694280 unique ideals
  762. Tue Jul  2 11:37:23 2019  reduce to 66534843 relations and 59116850 ideals in 8 passes
  763. Tue Jul  2 11:37:23 2019  max relations containing the same ideal: 143
  764. Tue Jul  2 11:37:49 2019  removing 6999778 relations and 4999778 ideals in 2000000 cliques
  765. Tue Jul  2 11:37:51 2019  commencing in-memory singleton removal
  766. Tue Jul  2 11:37:55 2019  begin with 59535065 relations and 59116850 unique ideals
  767. Tue Jul  2 11:38:22 2019  reduce to 58979467 relations and 53546884 ideals in 7 passes
  768. Tue Jul  2 11:38:22 2019  max relations containing the same ideal: 131
  769. Tue Jul  2 11:38:44 2019  removing 6979714 relations and 4979714 ideals in 2000000 cliques
  770. Tue Jul  2 11:38:46 2019  commencing in-memory singleton removal
  771. Tue Jul  2 11:38:49 2019  begin with 51999753 relations and 53546884 unique ideals
  772. Tue Jul  2 11:39:16 2019  reduce to 51383705 relations and 47932836 ideals in 8 passes
  773. Tue Jul  2 11:39:16 2019  max relations containing the same ideal: 117
  774. Tue Jul  2 11:39:36 2019  removing 6988469 relations and 4988469 ideals in 2000000 cliques
  775. Tue Jul  2 11:39:38 2019  commencing in-memory singleton removal
  776. Tue Jul  2 11:39:40 2019  begin with 44395236 relations and 47932836 unique ideals
  777. Tue Jul  2 11:40:03 2019  reduce to 43685470 relations and 42210950 ideals in 8 passes
  778. Tue Jul  2 11:40:03 2019  max relations containing the same ideal: 104
  779. Tue Jul  2 11:40:20 2019  removing 3192813 relations and 2455356 ideals in 737457 cliques
  780. Tue Jul  2 11:40:21 2019  commencing in-memory singleton removal
  781. Tue Jul  2 11:40:24 2019  begin with 40492657 relations and 42210950 unique ideals
  782. Tue Jul  2 11:40:42 2019  reduce to 40326270 relations and 39586825 ideals in 7 passes
  783. Tue Jul  2 11:40:42 2019  max relations containing the same ideal: 99
  784. Tue Jul  2 11:41:02 2019  relations with 0 large ideals: 24219
  785. Tue Jul  2 11:41:02 2019  relations with 1 large ideals: 7712
  786. Tue Jul  2 11:41:02 2019  relations with 2 large ideals: 106067
  787. Tue Jul  2 11:41:02 2019  relations with 3 large ideals: 761794
  788. Tue Jul  2 11:41:02 2019  relations with 4 large ideals: 2996971
  789. Tue Jul  2 11:41:02 2019  relations with 5 large ideals: 7081040
  790. Tue Jul  2 11:41:02 2019  relations with 6 large ideals: 10480702
  791. Tue Jul  2 11:41:02 2019  relations with 7+ large ideals: 18867765
  792. Tue Jul  2 11:41:02 2019  commencing 2-way merge
  793. Tue Jul  2 11:41:21 2019  reduce to 26415394 relation sets and 25675949 unique ideals
  794. Tue Jul  2 11:41:21 2019  commencing full merge
  795. Tue Jul  2 11:55:48 2019  memory use: 1187.7 MB
  796. Tue Jul  2 11:55:48 2019  found 67097 cycles, need 5586599
  797. Tue Jul  2 11:55:48 2019  too few cycles, matrix probably cannot build
  798. Tue Jul  2 11:55:48 2019  
  799. Tue Jul  2 11:55:48 2019  
  800. Tue Jul  2 11:55:48 2019  Msieve v. 1.53 (SVN 993)
  801. Tue Jul  2 11:55:48 2019  random seeds: e1a7f3b6 be1c10d4
  802. Tue Jul  2 11:55:48 2019  factoring 109974666451851003188870339558873546755583697943965750536987840822600667844003075982048054456223482273607833004899479717870037538538827295357356234617958597760370036619432976243413945400213638268079660325528994527304339 (219 digits)
  803. Tue Jul  2 11:55:49 2019  no P-1/P+1/ECM available, skipping
  804. Tue Jul  2 11:55:49 2019  commencing number field sieve (219-digit input)
  805. Tue Jul  2 11:55:49 2019  R0: 1000000000000000000000000000000000000000000
  806. Tue Jul  2 11:55:49 2019  R1: -109418989131512359209
  807. Tue Jul  2 11:55:49 2019  A0: -10
  808. Tue Jul  2 11:55:49 2019  A1: 0
  809. Tue Jul  2 11:55:49 2019  A2: 0
  810. Tue Jul  2 11:55:49 2019  A3: 0
  811. Tue Jul  2 11:55:49 2019  A4: 0
  812. Tue Jul  2 11:55:49 2019  A5: 0
  813. Tue Jul  2 11:55:49 2019  A6: 3
  814. Tue Jul  2 11:55:49 2019  skew 1.22, size 3.136e-12, alpha -0.420, combined = 2.642e-13 rroots = 2
  815. Tue Jul  2 11:55:49 2019  
  816. Tue Jul  2 11:55:49 2019  commencing relation filtering
  817. Tue Jul  2 11:55:49 2019  setting target matrix density to 120.0
  818. Tue Jul  2 11:55:49 2019  estimated available RAM is 15964.6 MB
  819. Tue Jul  2 11:55:49 2019  commencing duplicate removal, pass 1
  820.   1 errors
  821. Tue Jul  2 12:14:26 2019  skipped 4 relations with composite factors
  822. Tue Jul  2 12:14:26 2019  found 8216369 hash collisions in 193438508 relations
  823. Tue Jul  2 12:14:35 2019  commencing duplicate removal, pass 2
  824. Tue Jul  2 12:15:18 2019  found 0 duplicates and 193438508 unique relations
  825. Tue Jul  2 12:15:18 2019  memory use: 522.4 MB
  826. Tue Jul  2 12:15:18 2019  reading ideals above 151584768
  827. Tue Jul  2 12:15:18 2019  commencing singleton removal, initial pass
  828. Tue Jul  2 12:28:57 2019  memory use: 3012.0 MB
  829. Tue Jul  2 12:28:57 2019  reading all ideals from disk
  830. Tue Jul  2 12:29:05 2019  memory use: 3476.1 MB
  831. Tue Jul  2 12:29:13 2019  commencing in-memory singleton removal
  832. Tue Jul  2 12:29:20 2019  begin with 193438508 relations and 162264793 unique ideals
  833. Tue Jul  2 12:30:37 2019  reduce to 127400669 relations and 89644701 ideals in 15 passes
  834. Tue Jul  2 12:30:37 2019  max relations containing the same ideal: 43
  835. Tue Jul  2 12:30:43 2019  reading ideals above 720000
  836. Tue Jul  2 12:30:43 2019  commencing singleton removal, initial pass
  837. Tue Jul  2 12:42:29 2019  memory use: 2756.0 MB
  838. Tue Jul  2 12:42:29 2019  reading all ideals from disk
  839. Tue Jul  2 12:43:30 2019  memory use: 5040.9 MB
  840. Tue Jul  2 12:43:51 2019  keeping 106061214 ideals with weight <= 200, target excess is 635399
  841. Tue Jul  2 12:44:06 2019  commencing in-memory singleton removal
  842. Tue Jul  2 12:44:15 2019  begin with 127400669 relations and 106061214 unique ideals
  843. Tue Jul  2 12:45:17 2019  reduce to 127396820 relations and 106057365 ideals in 7 passes
  844. Tue Jul  2 12:45:17 2019  max relations containing the same ideal: 200
  845. Tue Jul  2 12:46:04 2019  removing 11386281 relations and 9386281 ideals in 2000000 cliques
  846. Tue Jul  2 12:46:07 2019  commencing in-memory singleton removal
  847. Tue Jul  2 12:46:15 2019  begin with 116010539 relations and 106057365 unique ideals
  848. Tue Jul  2 12:47:36 2019  reduce to 115165194 relations and 95808120 ideals in 10 passes
  849. Tue Jul  2 12:47:36 2019  max relations containing the same ideal: 195
  850. Tue Jul  2 12:48:19 2019  removing 8712302 relations and 6712302 ideals in 2000000 cliques
  851. Tue Jul  2 12:48:21 2019  commencing in-memory singleton removal
  852. Tue Jul  2 12:48:29 2019  begin with 106452892 relations and 95808120 unique ideals
  853. Tue Jul  2 12:49:35 2019  reduce to 105893053 relations and 88525802 ideals in 9 passes
  854. Tue Jul  2 12:49:35 2019  max relations containing the same ideal: 186
  855. Tue Jul  2 12:50:14 2019  removing 7912902 relations and 5912902 ideals in 2000000 cliques
  856. Tue Jul  2 12:50:16 2019  commencing in-memory singleton removal
  857. Tue Jul  2 12:50:23 2019  begin with 97980151 relations and 88525802 unique ideals
  858. Tue Jul  2 12:51:17 2019  reduce to 97482432 relations and 82106143 ideals in 8 passes
  859. Tue Jul  2 12:51:17 2019  max relations containing the same ideal: 178
  860. Tue Jul  2 12:51:53 2019  removing 7514136 relations and 5514136 ideals in 2000000 cliques
  861. Tue Jul  2 12:51:55 2019  commencing in-memory singleton removal
  862. Tue Jul  2 12:52:01 2019  begin with 89968296 relations and 82106143 unique ideals
  863. Tue Jul  2 12:52:50 2019  reduce to 89492146 relations and 76106745 ideals in 8 passes
  864. Tue Jul  2 12:52:50 2019  max relations containing the same ideal: 169
  865. Tue Jul  2 12:53:24 2019  removing 7284449 relations and 5284449 ideals in 2000000 cliques
  866. Tue Jul  2 12:53:26 2019  commencing in-memory singleton removal
  867. Tue Jul  2 12:53:31 2019  begin with 82207697 relations and 76106745 unique ideals
  868. Tue Jul  2 12:54:16 2019  reduce to 81732250 relations and 70337256 ideals in 8 passes
  869. Tue Jul  2 12:54:16 2019  max relations containing the same ideal: 162
  870. Tue Jul  2 12:54:46 2019  removing 7141397 relations and 5141397 ideals in 2000000 cliques
  871. Tue Jul  2 12:54:48 2019  commencing in-memory singleton removal
  872. Tue Jul  2 12:54:53 2019  begin with 74590853 relations and 70337256 unique ideals
  873. Tue Jul  2 12:55:33 2019  reduce to 74100071 relations and 64694280 ideals in 8 passes
  874. Tue Jul  2 12:55:33 2019  max relations containing the same ideal: 150
  875. Tue Jul  2 12:56:01 2019  removing 7048789 relations and 5048789 ideals in 2000000 cliques
  876. Tue Jul  2 12:56:03 2019  commencing in-memory singleton removal
  877. Tue Jul  2 12:56:08 2019  begin with 67051282 relations and 64694280 unique ideals
  878. Tue Jul  2 12:56:43 2019  reduce to 66534843 relations and 59116850 ideals in 8 passes
  879. Tue Jul  2 12:56:43 2019  max relations containing the same ideal: 143
  880. Tue Jul  2 12:57:08 2019  removing 6999778 relations and 4999778 ideals in 2000000 cliques
  881. Tue Jul  2 12:57:10 2019  commencing in-memory singleton removal
  882. Tue Jul  2 12:57:14 2019  begin with 59535065 relations and 59116850 unique ideals
  883. Tue Jul  2 12:57:42 2019  reduce to 58979467 relations and 53546884 ideals in 7 passes
  884. Tue Jul  2 12:57:42 2019  max relations containing the same ideal: 131
  885. Tue Jul  2 12:58:04 2019  removing 6979714 relations and 4979714 ideals in 2000000 cliques
  886. Tue Jul  2 12:58:06 2019  commencing in-memory singleton removal
  887. Tue Jul  2 12:58:09 2019  begin with 51999753 relations and 53546884 unique ideals
  888. Tue Jul  2 12:58:36 2019  reduce to 51383705 relations and 47932836 ideals in 8 passes
  889. Tue Jul  2 12:58:36 2019  max relations containing the same ideal: 117
  890. Tue Jul  2 12:58:56 2019  removing 6988469 relations and 4988469 ideals in 2000000 cliques
  891. Tue Jul  2 12:58:58 2019  commencing in-memory singleton removal
  892. Tue Jul  2 12:59:00 2019  begin with 44395236 relations and 47932836 unique ideals
  893. Tue Jul  2 12:59:23 2019  reduce to 43685470 relations and 42210950 ideals in 8 passes
  894. Tue Jul  2 12:59:23 2019  max relations containing the same ideal: 104
  895. Tue Jul  2 12:59:40 2019  removing 3192813 relations and 2455356 ideals in 737457 cliques
  896. Tue Jul  2 12:59:41 2019  commencing in-memory singleton removal
  897. Tue Jul  2 12:59:44 2019  begin with 40492657 relations and 42210950 unique ideals
  898. Tue Jul  2 13:00:02 2019  reduce to 40326270 relations and 39586825 ideals in 7 passes
  899. Tue Jul  2 13:00:02 2019  max relations containing the same ideal: 99
  900. Tue Jul  2 13:00:22 2019  relations with 0 large ideals: 24219
  901. Tue Jul  2 13:00:22 2019  relations with 1 large ideals: 7712
  902. Tue Jul  2 13:00:22 2019  relations with 2 large ideals: 106067
  903. Tue Jul  2 13:00:22 2019  relations with 3 large ideals: 761794
  904. Tue Jul  2 13:00:22 2019  relations with 4 large ideals: 2996971
  905. Tue Jul  2 13:00:22 2019  relations with 5 large ideals: 7081040
  906. Tue Jul  2 13:00:22 2019  relations with 6 large ideals: 10480702
  907. Tue Jul  2 13:00:22 2019  relations with 7+ large ideals: 18867765
  908. Tue Jul  2 13:00:22 2019  commencing 2-way merge
  909. Tue Jul  2 13:00:41 2019  reduce to 26415394 relation sets and 25675949 unique ideals
  910. Tue Jul  2 13:00:41 2019  commencing full merge
  911. Tue Jul  2 13:08:15 2019  memory use: 3399.4 MB
  912. Tue Jul  2 13:08:17 2019  found 11841531 cycles, need 11832149
  913. Tue Jul  2 13:08:19 2019  weight of 11832149 cycles is about 1420182838 (120.03/cycle)
  914. Tue Jul  2 13:08:19 2019  distribution of cycle lengths:
  915. Tue Jul  2 13:08:19 2019  1 relations: 547069
  916. Tue Jul  2 13:08:19 2019  2 relations: 740262
  917. Tue Jul  2 13:08:19 2019  3 relations: 849106
  918. Tue Jul  2 13:08:19 2019  4 relations: 859556
  919. Tue Jul  2 13:08:19 2019  5 relations: 869874
  920. Tue Jul  2 13:08:19 2019  6 relations: 846627
  921. Tue Jul  2 13:08:19 2019  7 relations: 827549
  922. Tue Jul  2 13:08:19 2019  8 relations: 785206
  923. Tue Jul  2 13:08:19 2019  9 relations: 740551
  924. Tue Jul  2 13:08:19 2019  10+ relations: 4766349
  925. Tue Jul  2 13:08:19 2019  heaviest cycle: 28 relations
  926. Tue Jul  2 13:08:22 2019  commencing cycle optimization
  927. Tue Jul  2 13:08:39 2019  start with 105713959 relations
  928. Tue Jul  2 13:11:39 2019  pruned 4859815 relations
  929. Tue Jul  2 13:11:39 2019  memory use: 2762.6 MB
  930. Tue Jul  2 13:11:39 2019  distribution of cycle lengths:
  931. Tue Jul  2 13:11:39 2019  1 relations: 547069
  932. Tue Jul  2 13:11:39 2019  2 relations: 759271
  933. Tue Jul  2 13:11:39 2019  3 relations: 885676
  934. Tue Jul  2 13:11:39 2019  4 relations: 895673
  935. Tue Jul  2 13:11:39 2019  5 relations: 911953
  936. Tue Jul  2 13:11:39 2019  6 relations: 886766
  937. Tue Jul  2 13:11:39 2019  7 relations: 868121
  938. Tue Jul  2 13:11:39 2019  8 relations: 821848
  939. Tue Jul  2 13:11:39 2019  9 relations: 772752
  940. Tue Jul  2 13:11:39 2019  10+ relations: 4483020
  941. Tue Jul  2 13:11:39 2019  heaviest cycle: 28 relations
  942. Tue Jul  2 13:12:00 2019  RelProcTime: 4571
  943. Tue Jul  2 13:12:00 2019  elapsed time 01:16:12
  944. Tue Jul  2 17:39:24 2019  
  945. Tue Jul  2 17:39:24 2019  
  946. Tue Jul  2 17:39:24 2019  Msieve v. 1.54 (SVN 1022M)
  947. Tue Jul  2 17:39:24 2019  random seeds: 80002874 efc757e6
  948. Tue Jul  2 17:39:24 2019  factoring 109974666451851003188870339558873546755583697943965750536987840822600667844003075982048054456223482273607833004899479717870037538538827295357356234617958597760370036619432976243413945400213638268079660325528994527304339 (219 digits)
  949. Tue Jul  2 17:39:25 2019  no P-1/P+1/ECM available, skipping
  950. Tue Jul  2 17:39:25 2019  commencing number field sieve (219-digit input)
  951. Tue Jul  2 17:39:25 2019  R0: 1000000000000000000000000000000000000000000
  952. Tue Jul  2 17:39:25 2019  R1: -109418989131512359209
  953. Tue Jul  2 17:39:25 2019  A0: -10
  954. Tue Jul  2 17:39:25 2019  A1: 0
  955. Tue Jul  2 17:39:25 2019  A2: 0
  956. Tue Jul  2 17:39:25 2019  A3: 0
  957. Tue Jul  2 17:39:25 2019  A4: 0
  958. Tue Jul  2 17:39:25 2019  A5: 0
  959. Tue Jul  2 17:39:25 2019  A6: 3
  960. Tue Jul  2 17:39:25 2019  skew 1.22, size 3.136e-12, alpha -0.420, combined = 2.642e-13 rroots = 2
  961. Tue Jul  2 17:39:25 2019  
  962. Tue Jul  2 17:39:25 2019  commencing linear algebra
  963. Tue Jul  2 17:39:26 2019  read 11832149 cycles
  964. Tue Jul  2 17:39:41 2019  cycles contain 39901684 unique relations
  965. Tue Jul  2 17:42:11 2019  read 39901684 relations
  966. Tue Jul  2 17:43:07 2019  using 20 quadratic characters above 4294917295
  967. Tue Jul  2 17:45:26 2019  building initial matrix
  968. Tue Jul  2 17:51:46 2019  memory use: 5258.4 MB
  969. Tue Jul  2 17:51:50 2019  read 11832149 cycles
  970. Tue Jul  2 17:51:51 2019  matrix is 11831972 x 11832149 (5540.0 MB) with weight 1613610192 (136.38/col)
  971. Tue Jul  2 17:51:51 2019  sparse part has weight 1322116086 (111.74/col)
  972. Tue Jul  2 17:53:52 2019  filtering completed in 2 passes
  973. Tue Jul  2 17:53:54 2019  matrix is 11831871 x 11832046 (5540.0 MB) with weight 1613606788 (136.38/col)
  974. Tue Jul  2 17:53:54 2019  sparse part has weight 1322115314 (111.74/col)
  975. Tue Jul  2 17:54:42 2019  matrix starts at (0, 0)
  976. Tue Jul  2 17:54:43 2019  matrix is 11831871 x 11832046 (5540.0 MB) with weight 1613606788 (136.38/col)
  977. Tue Jul  2 17:54:43 2019  sparse part has weight 1322115314 (111.74/col)
  978. Tue Jul  2 17:54:43 2019  saving the first 112 matrix rows for later
  979. Tue Jul  2 17:54:45 2019  matrix includes 128 packed rows
  980. Tue Jul  2 17:54:47 2019  matrix is 11831759 x 11832046 (5123.3 MB) with weight 1271775407 (107.49/col)
  981. Tue Jul  2 17:54:47 2019  sparse part has weight 1201065074 (101.51/col)
  982. Tue Jul  2 17:54:47 2019  using block size 8192 and superblock size 393216 for processor cache size 8192 kB
  983. Tue Jul  2 17:55:10 2019  commencing Lanczos iteration (4 threads)
  984. Tue Jul  2 17:55:10 2019  memory use: 5659.5 MB
  985. Tue Jul  2 17:55:57 2019  linear algebra at 0.0%, ETA 92h25m
  986. Tue Jul  2 17:56:11 2019  checkpointing every 130000 dimensions
  987. Sat Jul  6 14:20:06 2019  lanczos halted after 92994 iterations (dim = 11831757)
  988. Sat Jul  6 14:20:22 2019  recovered 36 nontrivial dependencies
  989. Sat Jul  6 14:20:22 2019  BLanczosTime: 333657
  990. Sat Jul  6 14:20:22 2019  elapsed time 92:40:58
  991. Sat Jul  6 14:20:56 2019  
  992. Sat Jul  6 14:20:56 2019  
  993. Sat Jul  6 14:20:56 2019  Msieve v. 1.54 (SVN 1022M)
  994. Sat Jul  6 14:20:56 2019  random seeds: 1675b36c 9e2eba25
  995. Sat Jul  6 14:20:56 2019  factoring 109974666451851003188870339558873546755583697943965750536987840822600667844003075982048054456223482273607833004899479717870037538538827295357356234617958597760370036619432976243413945400213638268079660325528994527304339 (219 digits)
  996. Sat Jul  6 14:20:57 2019  no P-1/P+1/ECM available, skipping
  997. Sat Jul  6 14:20:57 2019  commencing number field sieve (219-digit input)
  998. Sat Jul  6 14:20:57 2019  R0: 1000000000000000000000000000000000000000000
  999. Sat Jul  6 14:20:57 2019  R1: -109418989131512359209
  1000. Sat Jul  6 14:20:57 2019  A0: -10
  1001. Sat Jul  6 14:20:57 2019  A1: 0
  1002. Sat Jul  6 14:20:57 2019  A2: 0
  1003. Sat Jul  6 14:20:57 2019  A3: 0
  1004. Sat Jul  6 14:20:57 2019  A4: 0
  1005. Sat Jul  6 14:20:57 2019  A5: 0
  1006. Sat Jul  6 14:20:57 2019  A6: 3
  1007. Sat Jul  6 14:20:57 2019  skew 1.22, size 3.136e-12, alpha -0.420, combined = 2.642e-13 rroots = 2
  1008. Sat Jul  6 14:20:57 2019  
  1009. Sat Jul  6 14:20:57 2019  commencing square root phase
  1010. Sat Jul  6 14:20:57 2019  reading relations for dependency 1
  1011. Sat Jul  6 14:20:57 2019  read 5918748 cycles
  1012. Sat Jul  6 14:21:06 2019  cycles contain 19962972 unique relations
  1013. Sat Jul  6 14:22:23 2019  read 19962972 relations
  1014. Sat Jul  6 14:23:27 2019  multiplying 19962972 relations
  1015. Sat Jul  6 14:35:42 2019  multiply complete, coefficients have about 533.19 million bits
  1016. Sat Jul  6 14:35:43 2019  initial square root is modulo 60763
  1017. Sat Jul  6 14:48:15 2019  sqrtTime: 1638
  1018. Sat Jul  6 14:48:15 2019  p84 factor: 757881916724101814517956729746395407338276885505415462486083510357397372051762267619
  1019. Sat Jul  6 14:48:15 2019  p135 factor: 145107917242846703591755236826033205002020157015690438913649121163164142908148185568307827600871832942533985385578981883215457999828881
  1020. Sat Jul  6 14:48:15 2019  elapsed time 00:27:19
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