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8^750+5^750 L linear algebra log

fivemack Sep 13th, 2019 100 Never
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  1. Thu Sep 12 00:46:31 2019  
  2. Thu Sep 12 00:46:31 2019  
  3. Thu Sep 12 00:46:31 2019  Msieve v. 1.54 (SVN 1030M)
  4. Thu Sep 12 00:46:31 2019  random seeds: 1e462f1a ff5ac511
  5. Thu Sep 12 00:46:31 2019  factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits)
  6. Thu Sep 12 00:46:32 2019  no P-1/P+1/ECM available, skipping
  7. Thu Sep 12 00:46:32 2019  commencing number field sieve (172-digit input)
  8. Thu Sep 12 00:46:32 2019  R0: -37779229886181038662693
  9. Thu Sep 12 00:46:32 2019  R1: 167772160000000000000
  10. Thu Sep 12 00:46:32 2019  A0: 16
  11. Thu Sep 12 00:46:32 2019  A1: 320
  12. Thu Sep 12 00:46:32 2019  A2: 1280
  13. Thu Sep 12 00:46:32 2019  A3: 1400
  14. Thu Sep 12 00:46:32 2019  A4: -1200
  15. Thu Sep 12 00:46:32 2019  A5: -3000
  16. Thu Sep 12 00:46:32 2019  A6: -750
  17. Thu Sep 12 00:46:32 2019  A7: 1250
  18. Thu Sep 12 00:46:32 2019  A8: 625
  19. Thu Sep 12 00:46:32 2019  skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8
  20. Thu Sep 12 00:46:32 2019  
  21. Thu Sep 12 00:46:32 2019  commencing relation filtering
  22. Thu Sep 12 00:46:32 2019  setting target matrix density to 70.0
  23. Thu Sep 12 00:46:32 2019  estimated available RAM is 95375.2 MB
  24. Thu Sep 12 00:46:32 2019  commencing duplicate removal, pass 1
  25.   3 errors
  26. Thu Sep 12 01:31:45 2019  skipped 55 relations with composite factors
  27. Thu Sep 12 01:31:45 2019  found 8330099 hash collisions in 194914464 relations
  28. Thu Sep 12 01:32:03 2019  added 1828678 free relations
  29. Thu Sep 12 01:32:03 2019  commencing duplicate removal, pass 2
  30. Thu Sep 12 01:33:38 2019  found 0 duplicates and 196743142 unique relations
  31. Thu Sep 12 01:33:38 2019  memory use: 522.4 MB
  32. Thu Sep 12 01:33:38 2019  reading ideals above 720000
  33. Thu Sep 12 01:33:38 2019  commencing singleton removal, initial pass
  34. Thu Sep 12 02:26:25 2019  memory use: 5512.0 MB
  35. Thu Sep 12 02:26:25 2019  reading all ideals from disk
  36. Thu Sep 12 02:26:31 2019  memory use: 7378.7 MB
  37. Thu Sep 12 02:27:05 2019  keeping 167780339 ideals with weight <= 200, target excess is 981285
  38. Thu Sep 12 02:27:49 2019  commencing in-memory singleton removal
  39. Thu Sep 12 02:28:15 2019  begin with 196743141 relations and 167780339 unique ideals
  40. Thu Sep 12 02:32:22 2019  reduce to 130348113 relations and 94610184 ideals in 12 passes
  41. Thu Sep 12 02:32:22 2019  max relations containing the same ideal: 162
  42. Thu Sep 12 02:34:01 2019  removing 9474063 relations and 7474063 ideals in 2000000 cliques
  43. Thu Sep 12 02:34:05 2019  commencing in-memory singleton removal
  44. Thu Sep 12 02:34:20 2019  begin with 120874050 relations and 94610184 unique ideals
  45. Thu Sep 12 02:36:16 2019  reduce to 120361526 relations and 86613772 ideals in 7 passes
  46. Thu Sep 12 02:36:16 2019  max relations containing the same ideal: 156
  47. Thu Sep 12 02:37:45 2019  removing 7265409 relations and 5265409 ideals in 2000000 cliques
  48. Thu Sep 12 02:37:49 2019  commencing in-memory singleton removal
  49. Thu Sep 12 02:38:03 2019  begin with 113096117 relations and 86613772 unique ideals
  50. Thu Sep 12 02:39:48 2019  reduce to 112751763 relations and 80998056 ideals in 7 passes
  51. Thu Sep 12 02:39:48 2019  max relations containing the same ideal: 151
  52. Thu Sep 12 02:41:13 2019  removing 6632178 relations and 4632178 ideals in 2000000 cliques
  53. Thu Sep 12 02:41:16 2019  commencing in-memory singleton removal
  54. Thu Sep 12 02:41:29 2019  begin with 106119585 relations and 80998056 unique ideals
  55. Thu Sep 12 02:42:54 2019  reduce to 105823573 relations and 76064629 ideals in 6 passes
  56. Thu Sep 12 02:42:54 2019  max relations containing the same ideal: 145
  57. Thu Sep 12 02:44:13 2019  removing 6294760 relations and 4294760 ideals in 2000000 cliques
  58. Thu Sep 12 02:44:16 2019  commencing in-memory singleton removal
  59. Thu Sep 12 02:44:28 2019  begin with 99528813 relations and 76064629 unique ideals
  60. Thu Sep 12 02:46:00 2019  reduce to 99258019 relations and 71494100 ideals in 7 passes
  61. Thu Sep 12 02:46:00 2019  max relations containing the same ideal: 139
  62. Thu Sep 12 02:47:15 2019  removing 6068861 relations and 4068861 ideals in 2000000 cliques
  63. Thu Sep 12 02:47:19 2019  commencing in-memory singleton removal
  64. Thu Sep 12 02:47:30 2019  begin with 93189158 relations and 71494100 unique ideals
  65. Thu Sep 12 02:48:55 2019  reduce to 92932165 relations and 67163420 ideals in 7 passes
  66. Thu Sep 12 02:48:55 2019  max relations containing the same ideal: 135
  67. Thu Sep 12 02:50:03 2019  removing 5909611 relations and 3909611 ideals in 2000000 cliques
  68. Thu Sep 12 02:50:06 2019  commencing in-memory singleton removal
  69. Thu Sep 12 02:50:16 2019  begin with 87022554 relations and 67163420 unique ideals
  70. Thu Sep 12 02:51:36 2019  reduce to 86772328 relations and 62998560 ideals in 7 passes
  71. Thu Sep 12 02:51:36 2019  max relations containing the same ideal: 130
  72. Thu Sep 12 02:52:40 2019  removing 5787545 relations and 3787545 ideals in 2000000 cliques
  73. Thu Sep 12 02:52:43 2019  commencing in-memory singleton removal
  74. Thu Sep 12 02:52:52 2019  begin with 80984783 relations and 62998560 unique ideals
  75. Thu Sep 12 02:53:54 2019  reduce to 80737009 relations and 58958063 ideals in 6 passes
  76. Thu Sep 12 02:53:54 2019  max relations containing the same ideal: 119
  77. Thu Sep 12 02:54:54 2019  removing 5688314 relations and 3688314 ideals in 2000000 cliques
  78. Thu Sep 12 02:54:57 2019  commencing in-memory singleton removal
  79. Thu Sep 12 02:55:05 2019  begin with 75048695 relations and 58958063 unique ideals
  80. Thu Sep 12 02:56:01 2019  reduce to 74800244 relations and 55015800 ideals in 6 passes
  81. Thu Sep 12 02:56:01 2019  max relations containing the same ideal: 114
  82. Thu Sep 12 02:56:57 2019  removing 5610506 relations and 3610506 ideals in 2000000 cliques
  83. Thu Sep 12 02:57:00 2019  commencing in-memory singleton removal
  84. Thu Sep 12 02:57:08 2019  begin with 69189738 relations and 55015800 unique ideals
  85. Thu Sep 12 02:57:59 2019  reduce to 68938489 relations and 51148161 ideals in 6 passes
  86. Thu Sep 12 02:57:59 2019  max relations containing the same ideal: 111
  87. Thu Sep 12 02:58:50 2019  removing 5545618 relations and 3545618 ideals in 2000000 cliques
  88. Thu Sep 12 02:58:53 2019  commencing in-memory singleton removal
  89. Thu Sep 12 02:59:00 2019  begin with 63392871 relations and 51148161 unique ideals
  90. Thu Sep 12 02:59:46 2019  reduce to 63134981 relations and 47338001 ideals in 6 passes
  91. Thu Sep 12 02:59:46 2019  max relations containing the same ideal: 106
  92. Thu Sep 12 03:00:33 2019  removing 5488027 relations and 3488027 ideals in 2000000 cliques
  93. Thu Sep 12 03:00:36 2019  commencing in-memory singleton removal
  94. Thu Sep 12 03:00:42 2019  begin with 57646954 relations and 47338001 unique ideals
  95. Thu Sep 12 03:01:24 2019  reduce to 57381605 relations and 43577339 ideals in 6 passes
  96. Thu Sep 12 03:01:24 2019  max relations containing the same ideal: 100
  97. Thu Sep 12 03:02:07 2019  removing 5441440 relations and 3441440 ideals in 2000000 cliques
  98. Thu Sep 12 03:02:09 2019  commencing in-memory singleton removal
  99. Thu Sep 12 03:02:15 2019  begin with 51940165 relations and 43577339 unique ideals
  100. Thu Sep 12 03:02:52 2019  reduce to 51661270 relations and 39848612 ideals in 6 passes
  101. Thu Sep 12 03:02:52 2019  max relations containing the same ideal: 94
  102. Thu Sep 12 03:03:31 2019  removing 5398851 relations and 3398851 ideals in 2000000 cliques
  103. Thu Sep 12 03:03:33 2019  commencing in-memory singleton removal
  104. Thu Sep 12 03:03:39 2019  begin with 46262419 relations and 39848612 unique ideals
  105. Thu Sep 12 03:04:11 2019  reduce to 45965252 relations and 36142798 ideals in 6 passes
  106. Thu Sep 12 03:04:11 2019  max relations containing the same ideal: 84
  107. Thu Sep 12 03:04:45 2019  removing 5366171 relations and 3366171 ideals in 2000000 cliques
  108. Thu Sep 12 03:04:47 2019  commencing in-memory singleton removal
  109. Thu Sep 12 03:04:52 2019  begin with 40599081 relations and 36142798 unique ideals
  110. Thu Sep 12 03:05:20 2019  reduce to 40274387 relations and 32439964 ideals in 6 passes
  111. Thu Sep 12 03:05:20 2019  max relations containing the same ideal: 77
  112. Thu Sep 12 03:05:50 2019  removing 5342558 relations and 3342558 ideals in 2000000 cliques
  113. Thu Sep 12 03:05:52 2019  commencing in-memory singleton removal
  114. Thu Sep 12 03:05:56 2019  begin with 34931829 relations and 32439964 unique ideals
  115. Thu Sep 12 03:06:23 2019  reduce to 34561157 relations and 28711603 ideals in 7 passes
  116. Thu Sep 12 03:06:23 2019  max relations containing the same ideal: 71
  117. Thu Sep 12 03:06:49 2019  removing 5337892 relations and 3337892 ideals in 2000000 cliques
  118. Thu Sep 12 03:06:52 2019  commencing in-memory singleton removal
  119. Thu Sep 12 03:06:55 2019  begin with 29223265 relations and 28711603 unique ideals
  120. Thu Sep 12 03:07:18 2019  reduce to 28774124 relations and 24903033 ideals in 7 passes
  121. Thu Sep 12 03:07:18 2019  max relations containing the same ideal: 62
  122. Thu Sep 12 03:07:40 2019  removing 5375342 relations and 3375342 ideals in 2000000 cliques
  123. Thu Sep 12 03:07:42 2019  commencing in-memory singleton removal
  124. Thu Sep 12 03:07:45 2019  begin with 23398782 relations and 24903033 unique ideals
  125. Thu Sep 12 03:08:03 2019  reduce to 22791046 relations and 20885051 ideals in 7 passes
  126. Thu Sep 12 03:08:03 2019  max relations containing the same ideal: 55
  127. Thu Sep 12 03:08:20 2019  removing 2456635 relations and 1688931 ideals in 767704 cliques
  128. Thu Sep 12 03:08:22 2019  commencing in-memory singleton removal
  129. Thu Sep 12 03:08:24 2019  begin with 20334411 relations and 20885051 unique ideals
  130. Thu Sep 12 03:08:39 2019  reduce to 20086959 relations and 18940848 ideals in 7 passes
  131. Thu Sep 12 03:08:39 2019  max relations containing the same ideal: 51
  132. Thu Sep 12 03:08:59 2019  relations with 0 large ideals: 36999
  133. Thu Sep 12 03:08:59 2019  relations with 1 large ideals: 118274
  134. Thu Sep 12 03:08:59 2019  relations with 2 large ideals: 720965
  135. Thu Sep 12 03:08:59 2019  relations with 3 large ideals: 2578636
  136. Thu Sep 12 03:08:59 2019  relations with 4 large ideals: 4846457
  137. Thu Sep 12 03:08:59 2019  relations with 5 large ideals: 5371963
  138. Thu Sep 12 03:08:59 2019  relations with 6 large ideals: 3721139
  139. Thu Sep 12 03:08:59 2019  relations with 7+ large ideals: 2692526
  140. Thu Sep 12 03:08:59 2019  commencing 2-way merge
  141. Thu Sep 12 03:09:18 2019  reduce to 13630766 relation sets and 12484655 unique ideals
  142. Thu Sep 12 03:09:18 2019  commencing full merge
  143. Thu Sep 12 03:14:18 2019  memory use: 1412.8 MB
  144. Thu Sep 12 03:14:20 2019  found 7037258 cycles, need 6874855
  145. Thu Sep 12 03:14:25 2019  weight of 6874855 cycles is about 481549398 (70.05/cycle)
  146. Thu Sep 12 03:14:25 2019  distribution of cycle lengths:
  147. Thu Sep 12 03:14:25 2019  1 relations: 596259
  148. Thu Sep 12 03:14:25 2019  2 relations: 710508
  149. Thu Sep 12 03:14:25 2019  3 relations: 806136
  150. Thu Sep 12 03:14:25 2019  4 relations: 820386
  151. Thu Sep 12 03:14:25 2019  5 relations: 804319
  152. Thu Sep 12 03:14:25 2019  6 relations: 723381
  153. Thu Sep 12 03:14:25 2019  7 relations: 624000
  154. Thu Sep 12 03:14:25 2019  8 relations: 507589
  155. Thu Sep 12 03:14:25 2019  9 relations: 395815
  156. Thu Sep 12 03:14:25 2019  10+ relations: 886462
  157. Thu Sep 12 03:14:25 2019  heaviest cycle: 18 relations
  158. Thu Sep 12 03:14:29 2019  commencing cycle optimization
  159. Thu Sep 12 03:14:49 2019  start with 38251912 relations
  160. Thu Sep 12 03:16:18 2019  pruned 1142114 relations
  161. Thu Sep 12 03:16:19 2019  memory use: 1216.4 MB
  162. Thu Sep 12 03:16:19 2019  distribution of cycle lengths:
  163. Thu Sep 12 03:16:19 2019  1 relations: 596259
  164. Thu Sep 12 03:16:19 2019  2 relations: 725398
  165. Thu Sep 12 03:16:19 2019  3 relations: 837264
  166. Thu Sep 12 03:16:19 2019  4 relations: 849601
  167. Thu Sep 12 03:16:19 2019  5 relations: 836805
  168. Thu Sep 12 03:16:19 2019  6 relations: 747128
  169. Thu Sep 12 03:16:19 2019  7 relations: 638268
  170. Thu Sep 12 03:16:19 2019  8 relations: 507258
  171. Thu Sep 12 03:16:19 2019  9 relations: 386575
  172. Thu Sep 12 03:16:19 2019  10+ relations: 750299
  173. Thu Sep 12 03:16:19 2019  heaviest cycle: 17 relations
  174. Thu Sep 12 03:16:34 2019  RelProcTime: 9002
  175. Thu Sep 12 03:16:38 2019  elapsed time 02:30:07
  176. Thu Sep 12 03:16:39 2019  
  177. Thu Sep 12 03:16:39 2019  
  178. Thu Sep 12 03:16:39 2019  Msieve v. 1.54 (SVN 1030M)
  179. Thu Sep 12 03:16:39 2019  random seeds: f2c2bf02 f78c2136
  180. Thu Sep 12 03:16:39 2019  factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits)
  181. Thu Sep 12 03:16:40 2019  no P-1/P+1/ECM available, skipping
  182. Thu Sep 12 03:16:40 2019  commencing number field sieve (172-digit input)
  183. Thu Sep 12 03:16:40 2019  R0: -37779229886181038662693
  184. Thu Sep 12 03:16:40 2019  R1: 167772160000000000000
  185. Thu Sep 12 03:16:40 2019  A0: 16
  186. Thu Sep 12 03:16:40 2019  A1: 320
  187. Thu Sep 12 03:16:40 2019  A2: 1280
  188. Thu Sep 12 03:16:40 2019  A3: 1400
  189. Thu Sep 12 03:16:40 2019  A4: -1200
  190. Thu Sep 12 03:16:40 2019  A5: -3000
  191. Thu Sep 12 03:16:40 2019  A6: -750
  192. Thu Sep 12 03:16:40 2019  A7: 1250
  193. Thu Sep 12 03:16:40 2019  A8: 625
  194. Thu Sep 12 03:16:40 2019  skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8
  195. Thu Sep 12 03:16:40 2019  
  196. Thu Sep 12 03:16:40 2019  commencing relation filtering
  197. Thu Sep 12 03:16:40 2019  setting target matrix density to 134.0
  198. Thu Sep 12 03:16:40 2019  estimated available RAM is 95375.2 MB
  199. Thu Sep 12 03:16:40 2019  commencing duplicate removal, pass 1
  200.   3 errors
  201. Thu Sep 12 04:03:08 2019  skipped 56 relations with composite factors
  202. Thu Sep 12 04:03:08 2019  found 8481989 hash collisions in 196743141 relations
  203. Thu Sep 12 04:03:08 2019  added 1 free relations
  204. Thu Sep 12 04:03:08 2019  commencing duplicate removal, pass 2
  205. Thu Sep 12 04:04:41 2019  found 0 duplicates and 196743142 unique relations
  206. Thu Sep 12 04:04:41 2019  memory use: 522.4 MB
  207. Thu Sep 12 04:04:41 2019  reading ideals above 720000
  208. Thu Sep 12 04:04:41 2019  commencing singleton removal, initial pass
  209. Thu Sep 12 04:56:57 2019  memory use: 5512.0 MB
  210. Thu Sep 12 04:56:57 2019  reading all ideals from disk
  211. Thu Sep 12 04:57:03 2019  memory use: 7378.7 MB
  212. Thu Sep 12 04:57:38 2019  keeping 167780339 ideals with weight <= 200, target excess is 981285
  213. Thu Sep 12 04:58:21 2019  commencing in-memory singleton removal
  214. Thu Sep 12 04:58:48 2019  begin with 196743142 relations and 167780339 unique ideals
  215. Thu Sep 12 05:03:02 2019  reduce to 130348114 relations and 94610184 ideals in 12 passes
  216. Thu Sep 12 05:03:02 2019  max relations containing the same ideal: 162
  217. Thu Sep 12 05:04:42 2019  removing 9474063 relations and 7474063 ideals in 2000000 cliques
  218. Thu Sep 12 05:04:46 2019  commencing in-memory singleton removal
  219. Thu Sep 12 05:05:01 2019  begin with 120874051 relations and 94610184 unique ideals
  220. Thu Sep 12 05:06:59 2019  reduce to 120361527 relations and 86613772 ideals in 7 passes
  221. Thu Sep 12 05:06:59 2019  max relations containing the same ideal: 156
  222. Thu Sep 12 05:08:32 2019  removing 7265409 relations and 5265409 ideals in 2000000 cliques
  223. Thu Sep 12 05:08:36 2019  commencing in-memory singleton removal
  224. Thu Sep 12 05:08:49 2019  begin with 113096118 relations and 86613772 unique ideals
  225. Thu Sep 12 05:10:39 2019  reduce to 112751764 relations and 80998056 ideals in 7 passes
  226. Thu Sep 12 05:10:39 2019  max relations containing the same ideal: 151
  227. Thu Sep 12 05:12:04 2019  removing 6632178 relations and 4632178 ideals in 2000000 cliques
  228. Thu Sep 12 05:12:08 2019  commencing in-memory singleton removal
  229. Thu Sep 12 05:12:20 2019  begin with 106119586 relations and 80998056 unique ideals
  230. Thu Sep 12 05:13:46 2019  reduce to 105823574 relations and 76064629 ideals in 6 passes
  231. Thu Sep 12 05:13:46 2019  max relations containing the same ideal: 145
  232. Thu Sep 12 05:15:05 2019  removing 6294760 relations and 4294760 ideals in 2000000 cliques
  233. Thu Sep 12 05:15:09 2019  commencing in-memory singleton removal
  234. Thu Sep 12 05:15:21 2019  begin with 99528814 relations and 76064629 unique ideals
  235. Thu Sep 12 05:16:53 2019  reduce to 99258020 relations and 71494100 ideals in 7 passes
  236. Thu Sep 12 05:16:53 2019  max relations containing the same ideal: 139
  237. Thu Sep 12 05:18:08 2019  removing 6068861 relations and 4068861 ideals in 2000000 cliques
  238. Thu Sep 12 05:18:11 2019  commencing in-memory singleton removal
  239. Thu Sep 12 05:18:22 2019  begin with 93189159 relations and 71494100 unique ideals
  240. Thu Sep 12 05:19:50 2019  reduce to 92932166 relations and 67163420 ideals in 7 passes
  241. Thu Sep 12 05:19:50 2019  max relations containing the same ideal: 135
  242. Thu Sep 12 05:21:00 2019  removing 5909611 relations and 3909611 ideals in 2000000 cliques
  243. Thu Sep 12 05:21:03 2019  commencing in-memory singleton removal
  244. Thu Sep 12 05:21:13 2019  begin with 87022555 relations and 67163420 unique ideals
  245. Thu Sep 12 05:22:32 2019  reduce to 86772329 relations and 62998560 ideals in 7 passes
  246. Thu Sep 12 05:22:32 2019  max relations containing the same ideal: 130
  247. Thu Sep 12 05:23:37 2019  removing 5787545 relations and 3787545 ideals in 2000000 cliques
  248. Thu Sep 12 05:23:40 2019  commencing in-memory singleton removal
  249. Thu Sep 12 05:23:49 2019  begin with 80984784 relations and 62998560 unique ideals
  250. Thu Sep 12 05:24:51 2019  reduce to 80737010 relations and 58958063 ideals in 6 passes
  251. Thu Sep 12 05:24:51 2019  max relations containing the same ideal: 119
  252. Thu Sep 12 05:25:52 2019  removing 5688314 relations and 3688314 ideals in 2000000 cliques
  253. Thu Sep 12 05:25:55 2019  commencing in-memory singleton removal
  254. Thu Sep 12 05:26:04 2019  begin with 75048696 relations and 58958063 unique ideals
  255. Thu Sep 12 05:27:00 2019  reduce to 74800245 relations and 55015800 ideals in 6 passes
  256. Thu Sep 12 05:27:00 2019  max relations containing the same ideal: 114
  257. Thu Sep 12 05:27:56 2019  removing 5610506 relations and 3610506 ideals in 2000000 cliques
  258. Thu Sep 12 05:27:59 2019  commencing in-memory singleton removal
  259. Thu Sep 12 05:28:07 2019  begin with 69189739 relations and 55015800 unique ideals
  260. Thu Sep 12 05:28:59 2019  reduce to 68938490 relations and 51148161 ideals in 6 passes
  261. Thu Sep 12 05:28:59 2019  max relations containing the same ideal: 111
  262. Thu Sep 12 05:29:52 2019  removing 5545618 relations and 3545618 ideals in 2000000 cliques
  263. Thu Sep 12 05:29:55 2019  commencing in-memory singleton removal
  264. Thu Sep 12 05:30:02 2019  begin with 63392872 relations and 51148161 unique ideals
  265. Thu Sep 12 05:30:50 2019  reduce to 63134982 relations and 47338001 ideals in 6 passes
  266. Thu Sep 12 05:30:50 2019  max relations containing the same ideal: 106
  267. Thu Sep 12 05:31:39 2019  removing 5488027 relations and 3488027 ideals in 2000000 cliques
  268. Thu Sep 12 05:31:41 2019  commencing in-memory singleton removal
  269. Thu Sep 12 05:31:48 2019  begin with 57646955 relations and 47338001 unique ideals
  270. Thu Sep 12 05:32:30 2019  reduce to 57381606 relations and 43577339 ideals in 6 passes
  271. Thu Sep 12 05:32:30 2019  max relations containing the same ideal: 100
  272. Thu Sep 12 05:33:13 2019  removing 5441440 relations and 3441440 ideals in 2000000 cliques
  273. Thu Sep 12 05:33:16 2019  commencing in-memory singleton removal
  274. Thu Sep 12 05:33:22 2019  begin with 51940166 relations and 43577339 unique ideals
  275. Thu Sep 12 05:33:59 2019  reduce to 51661271 relations and 39848612 ideals in 6 passes
  276. Thu Sep 12 05:33:59 2019  max relations containing the same ideal: 94
  277. Thu Sep 12 05:34:38 2019  removing 5398851 relations and 3398851 ideals in 2000000 cliques
  278. Thu Sep 12 05:34:40 2019  commencing in-memory singleton removal
  279. Thu Sep 12 05:34:45 2019  begin with 46262420 relations and 39848612 unique ideals
  280. Thu Sep 12 05:35:18 2019  reduce to 45965253 relations and 36142798 ideals in 6 passes
  281. Thu Sep 12 05:35:18 2019  max relations containing the same ideal: 84
  282. Thu Sep 12 05:35:53 2019  removing 5366171 relations and 3366171 ideals in 2000000 cliques
  283. Thu Sep 12 05:35:55 2019  commencing in-memory singleton removal
  284. Thu Sep 12 05:36:00 2019  begin with 40599082 relations and 36142798 unique ideals
  285. Thu Sep 12 05:36:29 2019  reduce to 40274388 relations and 32439964 ideals in 6 passes
  286. Thu Sep 12 05:36:29 2019  max relations containing the same ideal: 77
  287. Thu Sep 12 05:36:59 2019  removing 5342558 relations and 3342558 ideals in 2000000 cliques
  288. Thu Sep 12 05:37:01 2019  commencing in-memory singleton removal
  289. Thu Sep 12 05:37:05 2019  begin with 34931830 relations and 32439964 unique ideals
  290. Thu Sep 12 05:37:33 2019  reduce to 34561158 relations and 28711603 ideals in 7 passes
  291. Thu Sep 12 05:37:33 2019  max relations containing the same ideal: 71
  292. Thu Sep 12 05:37:59 2019  removing 5337892 relations and 3337892 ideals in 2000000 cliques
  293. Thu Sep 12 05:38:02 2019  commencing in-memory singleton removal
  294. Thu Sep 12 05:38:05 2019  begin with 29223266 relations and 28711603 unique ideals
  295. Thu Sep 12 05:38:28 2019  reduce to 28774125 relations and 24903033 ideals in 7 passes
  296. Thu Sep 12 05:38:28 2019  max relations containing the same ideal: 62
  297. Thu Sep 12 05:38:50 2019  removing 5375342 relations and 3375342 ideals in 2000000 cliques
  298. Thu Sep 12 05:38:52 2019  commencing in-memory singleton removal
  299. Thu Sep 12 05:38:54 2019  begin with 23398783 relations and 24903033 unique ideals
  300. Thu Sep 12 05:39:13 2019  reduce to 22791047 relations and 20885051 ideals in 7 passes
  301. Thu Sep 12 05:39:13 2019  max relations containing the same ideal: 55
  302. Thu Sep 12 05:39:31 2019  removing 2456637 relations and 1688932 ideals in 767705 cliques
  303. Thu Sep 12 05:39:32 2019  commencing in-memory singleton removal
  304. Thu Sep 12 05:39:34 2019  begin with 20334410 relations and 20885051 unique ideals
  305. Thu Sep 12 05:39:50 2019  reduce to 20086957 relations and 18940846 ideals in 7 passes
  306. Thu Sep 12 05:39:50 2019  max relations containing the same ideal: 51
  307. Thu Sep 12 05:40:09 2019  relations with 0 large ideals: 37000
  308. Thu Sep 12 05:40:09 2019  relations with 1 large ideals: 118274
  309. Thu Sep 12 05:40:09 2019  relations with 2 large ideals: 720965
  310. Thu Sep 12 05:40:09 2019  relations with 3 large ideals: 2578636
  311. Thu Sep 12 05:40:09 2019  relations with 4 large ideals: 4846457
  312. Thu Sep 12 05:40:09 2019  relations with 5 large ideals: 5371961
  313. Thu Sep 12 05:40:09 2019  relations with 6 large ideals: 3721138
  314. Thu Sep 12 05:40:09 2019  relations with 7+ large ideals: 2692526
  315. Thu Sep 12 05:40:09 2019  commencing 2-way merge
  316. Thu Sep 12 05:40:28 2019  reduce to 13630763 relation sets and 12484652 unique ideals
  317. Thu Sep 12 05:40:28 2019  commencing full merge
  318. Thu Sep 12 05:54:11 2019  memory use: 594.4 MB
  319. Thu Sep 12 05:54:11 2019  found 152141 cycles, need 3281985
  320. Thu Sep 12 05:54:11 2019  too few cycles, matrix probably cannot build
  321. Thu Sep 12 05:54:11 2019  filtering wants 1000000 more relations
  322. Thu Sep 12 05:54:11 2019  elapsed time 02:37:32
  323. Thu Sep 12 05:54:11 2019  
  324. Thu Sep 12 05:54:11 2019  
  325. Thu Sep 12 05:54:11 2019  Msieve v. 1.54 (SVN 1030M)
  326. Thu Sep 12 05:54:11 2019  random seeds: 4624d2bf 207720d4
  327. Thu Sep 12 05:54:11 2019  factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits)
  328. Thu Sep 12 05:54:12 2019  no P-1/P+1/ECM available, skipping
  329. Thu Sep 12 05:54:12 2019  commencing number field sieve (172-digit input)
  330. Thu Sep 12 05:54:12 2019  R0: -37779229886181038662693
  331. Thu Sep 12 05:54:12 2019  R1: 167772160000000000000
  332. Thu Sep 12 05:54:12 2019  A0: 16
  333. Thu Sep 12 05:54:12 2019  A1: 320
  334. Thu Sep 12 05:54:12 2019  A2: 1280
  335. Thu Sep 12 05:54:12 2019  A3: 1400
  336. Thu Sep 12 05:54:12 2019  A4: -1200
  337. Thu Sep 12 05:54:12 2019  A5: -3000
  338. Thu Sep 12 05:54:12 2019  A6: -750
  339. Thu Sep 12 05:54:12 2019  A7: 1250
  340. Thu Sep 12 05:54:12 2019  A8: 625
  341. Thu Sep 12 05:54:12 2019  skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8
  342. Thu Sep 12 05:54:12 2019  
  343. Thu Sep 12 05:54:12 2019  commencing relation filtering
  344. Thu Sep 12 05:54:12 2019  setting target matrix density to 102.0
  345. Thu Sep 12 05:54:12 2019  estimated available RAM is 95375.2 MB
  346. Thu Sep 12 05:54:12 2019  commencing duplicate removal, pass 1
  347.   3 errors
  348. Thu Sep 12 06:40:59 2019  skipped 56 relations with composite factors
  349. Thu Sep 12 06:40:59 2019  found 8481989 hash collisions in 196743142 relations
  350. Thu Sep 12 06:40:59 2019  commencing duplicate removal, pass 2
  351. Thu Sep 12 06:42:34 2019  found 0 duplicates and 196743142 unique relations
  352. Thu Sep 12 06:42:34 2019  memory use: 522.4 MB
  353. Thu Sep 12 06:42:34 2019  reading ideals above 720000
  354. Thu Sep 12 06:42:35 2019  commencing singleton removal, initial pass
  355. Thu Sep 12 07:35:40 2019  memory use: 5512.0 MB
  356. Thu Sep 12 07:35:40 2019  reading all ideals from disk
  357. Thu Sep 12 07:35:46 2019  memory use: 7378.7 MB
  358. Thu Sep 12 07:36:20 2019  keeping 167780339 ideals with weight <= 200, target excess is 981285
  359. Thu Sep 12 07:37:04 2019  commencing in-memory singleton removal
  360. Thu Sep 12 07:37:31 2019  begin with 196743142 relations and 167780339 unique ideals
  361. Thu Sep 12 07:41:43 2019  reduce to 130348114 relations and 94610184 ideals in 12 passes
  362. Thu Sep 12 07:41:43 2019  max relations containing the same ideal: 162
  363. Thu Sep 12 07:43:24 2019  removing 9474063 relations and 7474063 ideals in 2000000 cliques
  364. Thu Sep 12 07:43:28 2019  commencing in-memory singleton removal
  365. Thu Sep 12 07:43:44 2019  begin with 120874051 relations and 94610184 unique ideals
  366. Thu Sep 12 07:45:42 2019  reduce to 120361527 relations and 86613772 ideals in 7 passes
  367. Thu Sep 12 07:45:42 2019  max relations containing the same ideal: 156
  368. Thu Sep 12 07:47:12 2019  removing 7265409 relations and 5265409 ideals in 2000000 cliques
  369. Thu Sep 12 07:47:16 2019  commencing in-memory singleton removal
  370. Thu Sep 12 07:47:29 2019  begin with 113096118 relations and 86613772 unique ideals
  371. Thu Sep 12 07:49:17 2019  reduce to 112751764 relations and 80998056 ideals in 7 passes
  372. Thu Sep 12 07:49:17 2019  max relations containing the same ideal: 151
  373. Thu Sep 12 07:50:42 2019  removing 6632178 relations and 4632178 ideals in 2000000 cliques
  374. Thu Sep 12 07:50:45 2019  commencing in-memory singleton removal
  375. Thu Sep 12 07:50:58 2019  begin with 106119586 relations and 80998056 unique ideals
  376. Thu Sep 12 07:52:23 2019  reduce to 105823574 relations and 76064629 ideals in 6 passes
  377. Thu Sep 12 07:52:23 2019  max relations containing the same ideal: 145
  378. Thu Sep 12 07:53:42 2019  removing 6294760 relations and 4294760 ideals in 2000000 cliques
  379. Thu Sep 12 07:53:45 2019  commencing in-memory singleton removal
  380. Thu Sep 12 07:53:57 2019  begin with 99528814 relations and 76064629 unique ideals
  381. Thu Sep 12 07:55:31 2019  reduce to 99258020 relations and 71494100 ideals in 7 passes
  382. Thu Sep 12 07:55:31 2019  max relations containing the same ideal: 139
  383. Thu Sep 12 07:56:48 2019  removing 6068861 relations and 4068861 ideals in 2000000 cliques
  384. Thu Sep 12 07:56:51 2019  commencing in-memory singleton removal
  385. Thu Sep 12 07:57:03 2019  begin with 93189159 relations and 71494100 unique ideals
  386. Thu Sep 12 07:58:33 2019  reduce to 92932166 relations and 67163420 ideals in 7 passes
  387. Thu Sep 12 07:58:33 2019  max relations containing the same ideal: 135
  388. Thu Sep 12 07:59:45 2019  removing 5909611 relations and 3909611 ideals in 2000000 cliques
  389. Thu Sep 12 07:59:49 2019  commencing in-memory singleton removal
  390. Thu Sep 12 07:59:59 2019  begin with 87022555 relations and 67163420 unique ideals
  391. Thu Sep 12 08:01:18 2019  reduce to 86772329 relations and 62998560 ideals in 7 passes
  392. Thu Sep 12 08:01:18 2019  max relations containing the same ideal: 130
  393. Thu Sep 12 08:02:25 2019  removing 5787545 relations and 3787545 ideals in 2000000 cliques
  394. Thu Sep 12 08:02:28 2019  commencing in-memory singleton removal
  395. Thu Sep 12 08:02:37 2019  begin with 80984784 relations and 62998560 unique ideals
  396. Thu Sep 12 08:03:39 2019  reduce to 80737010 relations and 58958063 ideals in 6 passes
  397. Thu Sep 12 08:03:39 2019  max relations containing the same ideal: 119
  398. Thu Sep 12 08:04:40 2019  removing 5688314 relations and 3688314 ideals in 2000000 cliques
  399. Thu Sep 12 08:04:44 2019  commencing in-memory singleton removal
  400. Thu Sep 12 08:04:53 2019  begin with 75048696 relations and 58958063 unique ideals
  401. Thu Sep 12 08:05:52 2019  reduce to 74800245 relations and 55015800 ideals in 6 passes
  402. Thu Sep 12 08:05:52 2019  max relations containing the same ideal: 114
  403. Thu Sep 12 08:06:49 2019  removing 5610506 relations and 3610506 ideals in 2000000 cliques
  404. Thu Sep 12 08:06:52 2019  commencing in-memory singleton removal
  405. Thu Sep 12 08:07:00 2019  begin with 69189739 relations and 55015800 unique ideals
  406. Thu Sep 12 08:07:51 2019  reduce to 68938490 relations and 51148161 ideals in 6 passes
  407. Thu Sep 12 08:07:51 2019  max relations containing the same ideal: 111
  408. Thu Sep 12 08:08:43 2019  removing 5545618 relations and 3545618 ideals in 2000000 cliques
  409. Thu Sep 12 08:08:46 2019  commencing in-memory singleton removal
  410. Thu Sep 12 08:08:53 2019  begin with 63392872 relations and 51148161 unique ideals
  411. Thu Sep 12 08:09:40 2019  reduce to 63134982 relations and 47338001 ideals in 6 passes
  412. Thu Sep 12 08:09:40 2019  max relations containing the same ideal: 106
  413. Thu Sep 12 08:10:28 2019  removing 5488027 relations and 3488027 ideals in 2000000 cliques
  414. Thu Sep 12 08:10:31 2019  commencing in-memory singleton removal
  415. Thu Sep 12 08:10:37 2019  begin with 57646955 relations and 47338001 unique ideals
  416. Thu Sep 12 08:11:18 2019  reduce to 57381606 relations and 43577339 ideals in 6 passes
  417. Thu Sep 12 08:11:18 2019  max relations containing the same ideal: 100
  418. Thu Sep 12 08:11:59 2019  removing 5441440 relations and 3441440 ideals in 2000000 cliques
  419. Thu Sep 12 08:12:02 2019  commencing in-memory singleton removal
  420. Thu Sep 12 08:12:07 2019  begin with 51940166 relations and 43577339 unique ideals
  421. Thu Sep 12 08:12:44 2019  reduce to 51661271 relations and 39848612 ideals in 6 passes
  422. Thu Sep 12 08:12:44 2019  max relations containing the same ideal: 94
  423. Thu Sep 12 08:13:22 2019  removing 5398851 relations and 3398851 ideals in 2000000 cliques
  424. Thu Sep 12 08:13:24 2019  commencing in-memory singleton removal
  425. Thu Sep 12 08:13:29 2019  begin with 46262420 relations and 39848612 unique ideals
  426. Thu Sep 12 08:14:02 2019  reduce to 45965253 relations and 36142798 ideals in 6 passes
  427. Thu Sep 12 08:14:02 2019  max relations containing the same ideal: 84
  428. Thu Sep 12 08:14:36 2019  removing 5366171 relations and 3366171 ideals in 2000000 cliques
  429. Thu Sep 12 08:14:38 2019  commencing in-memory singleton removal
  430. Thu Sep 12 08:14:42 2019  begin with 40599082 relations and 36142798 unique ideals
  431. Thu Sep 12 08:15:11 2019  reduce to 40274388 relations and 32439964 ideals in 6 passes
  432. Thu Sep 12 08:15:11 2019  max relations containing the same ideal: 77
  433. Thu Sep 12 08:15:41 2019  removing 5342558 relations and 3342558 ideals in 2000000 cliques
  434. Thu Sep 12 08:15:44 2019  commencing in-memory singleton removal
  435. Thu Sep 12 08:15:47 2019  begin with 34931830 relations and 32439964 unique ideals
  436. Thu Sep 12 08:16:15 2019  reduce to 34561158 relations and 28711603 ideals in 7 passes
  437. Thu Sep 12 08:16:15 2019  max relations containing the same ideal: 71
  438. Thu Sep 12 08:16:40 2019  removing 5337892 relations and 3337892 ideals in 2000000 cliques
  439. Thu Sep 12 08:16:43 2019  commencing in-memory singleton removal
  440. Thu Sep 12 08:16:46 2019  begin with 29223266 relations and 28711603 unique ideals
  441. Thu Sep 12 08:17:09 2019  reduce to 28774125 relations and 24903033 ideals in 7 passes
  442. Thu Sep 12 08:17:09 2019  max relations containing the same ideal: 62
  443. Thu Sep 12 08:17:30 2019  removing 5375342 relations and 3375342 ideals in 2000000 cliques
  444. Thu Sep 12 08:17:32 2019  commencing in-memory singleton removal
  445. Thu Sep 12 08:17:35 2019  begin with 23398783 relations and 24903033 unique ideals
  446. Thu Sep 12 08:17:52 2019  reduce to 22791047 relations and 20885051 ideals in 7 passes
  447. Thu Sep 12 08:17:52 2019  max relations containing the same ideal: 55
  448. Thu Sep 12 08:18:10 2019  removing 2456637 relations and 1688932 ideals in 767705 cliques
  449. Thu Sep 12 08:18:12 2019  commencing in-memory singleton removal
  450. Thu Sep 12 08:18:14 2019  begin with 20334410 relations and 20885051 unique ideals
  451. Thu Sep 12 08:18:29 2019  reduce to 20086957 relations and 18940846 ideals in 7 passes
  452. Thu Sep 12 08:18:29 2019  max relations containing the same ideal: 51
  453. Thu Sep 12 08:18:49 2019  relations with 0 large ideals: 37000
  454. Thu Sep 12 08:18:49 2019  relations with 1 large ideals: 118274
  455. Thu Sep 12 08:18:49 2019  relations with 2 large ideals: 720965
  456. Thu Sep 12 08:18:49 2019  relations with 3 large ideals: 2578636
  457. Thu Sep 12 08:18:49 2019  relations with 4 large ideals: 4846457
  458. Thu Sep 12 08:18:49 2019  relations with 5 large ideals: 5371961
  459. Thu Sep 12 08:18:49 2019  relations with 6 large ideals: 3721138
  460. Thu Sep 12 08:18:49 2019  relations with 7+ large ideals: 2692526
  461. Thu Sep 12 08:18:49 2019  commencing 2-way merge
  462. Thu Sep 12 08:19:08 2019  reduce to 13630763 relation sets and 12484652 unique ideals
  463. Thu Sep 12 08:19:08 2019  commencing full merge
  464. Thu Sep 12 08:26:08 2019  memory use: 1463.6 MB
  465. Thu Sep 12 08:26:10 2019  found 6174847 cycles, need 6048852
  466. Thu Sep 12 08:26:14 2019  weight of 6048852 cycles is about 617024978 (102.01/cycle)
  467. Thu Sep 12 08:26:14 2019  distribution of cycle lengths:
  468. Thu Sep 12 08:26:14 2019  1 relations: 289046
  469. Thu Sep 12 08:26:14 2019  2 relations: 362601
  470. Thu Sep 12 08:26:14 2019  3 relations: 436459
  471. Thu Sep 12 08:26:14 2019  4 relations: 474308
  472. Thu Sep 12 08:26:14 2019  5 relations: 502909
  473. Thu Sep 12 08:26:14 2019  6 relations: 504255
  474. Thu Sep 12 08:26:14 2019  7 relations: 493965
  475. Thu Sep 12 08:26:14 2019  8 relations: 464222
  476. Thu Sep 12 08:26:14 2019  9 relations: 425994
  477. Thu Sep 12 08:26:14 2019  10+ relations: 2095093
  478. Thu Sep 12 08:26:14 2019  heaviest cycle: 25 relations
  479. Thu Sep 12 08:26:18 2019  commencing cycle optimization
  480. Thu Sep 12 08:26:40 2019  start with 49005456 relations
  481. Thu Sep 12 08:29:36 2019  pruned 2266089 relations
  482. Thu Sep 12 08:29:37 2019  memory use: 1324.4 MB
  483. Thu Sep 12 08:29:37 2019  distribution of cycle lengths:
  484. Thu Sep 12 08:29:37 2019  1 relations: 289046
  485. Thu Sep 12 08:29:37 2019  2 relations: 371377
  486. Thu Sep 12 08:29:37 2019  3 relations: 454925
  487. Thu Sep 12 08:29:37 2019  4 relations: 496246
  488. Thu Sep 12 08:29:37 2019  5 relations: 531296
  489. Thu Sep 12 08:29:37 2019  6 relations: 533109
  490. Thu Sep 12 08:29:37 2019  7 relations: 523705
  491. Thu Sep 12 08:29:37 2019  8 relations: 489102
  492. Thu Sep 12 08:29:37 2019  9 relations: 446002
  493. Thu Sep 12 08:29:37 2019  10+ relations: 1914044
  494. Thu Sep 12 08:29:37 2019  heaviest cycle: 25 relations
  495. Thu Sep 12 08:29:56 2019  RelProcTime: 9344
  496. Thu Sep 12 08:29:56 2019  elapsed time 02:35:45
  497. Thu Sep 12 08:29:57 2019  
  498. Thu Sep 12 08:29:57 2019  
  499. Thu Sep 12 08:29:57 2019  Msieve v. 1.54 (SVN 1030M)
  500. Thu Sep 12 08:29:57 2019  random seeds: ebe1103c 4609df71
  501. Thu Sep 12 08:29:57 2019  factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits)
  502. Thu Sep 12 08:29:58 2019  no P-1/P+1/ECM available, skipping
  503. Thu Sep 12 08:29:58 2019  commencing number field sieve (172-digit input)
  504. Thu Sep 12 08:29:58 2019  R0: -37779229886181038662693
  505. Thu Sep 12 08:29:58 2019  R1: 167772160000000000000
  506. Thu Sep 12 08:29:58 2019  A0: 16
  507. Thu Sep 12 08:29:58 2019  A1: 320
  508. Thu Sep 12 08:29:58 2019  A2: 1280
  509. Thu Sep 12 08:29:58 2019  A3: 1400
  510. Thu Sep 12 08:29:58 2019  A4: -1200
  511. Thu Sep 12 08:29:58 2019  A5: -3000
  512. Thu Sep 12 08:29:58 2019  A6: -750
  513. Thu Sep 12 08:29:58 2019  A7: 1250
  514. Thu Sep 12 08:29:58 2019  A8: 625
  515. Thu Sep 12 08:29:58 2019  skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8
  516. Thu Sep 12 08:29:58 2019  
  517. Thu Sep 12 08:29:58 2019  commencing relation filtering
  518. Thu Sep 12 08:29:58 2019  setting target matrix density to 118.0
  519. Thu Sep 12 08:29:58 2019  estimated available RAM is 95375.2 MB
  520. Thu Sep 12 08:29:58 2019  commencing duplicate removal, pass 1
  521.   3 errors
  522. Thu Sep 12 09:17:04 2019  skipped 56 relations with composite factors
  523. Thu Sep 12 09:17:04 2019  found 8481989 hash collisions in 196743142 relations
  524. Thu Sep 12 09:17:04 2019  commencing duplicate removal, pass 2
  525. Thu Sep 12 09:18:41 2019  found 0 duplicates and 196743142 unique relations
  526. Thu Sep 12 09:18:41 2019  memory use: 522.4 MB
  527. Thu Sep 12 09:18:41 2019  reading ideals above 720000
  528. Thu Sep 12 09:18:41 2019  commencing singleton removal, initial pass
  529. Thu Sep 12 10:11:39 2019  memory use: 5512.0 MB
  530. Thu Sep 12 10:11:39 2019  reading all ideals from disk
  531. Thu Sep 12 10:11:45 2019  memory use: 7378.7 MB
  532. Thu Sep 12 10:12:20 2019  keeping 167780339 ideals with weight <= 200, target excess is 981285
  533. Thu Sep 12 10:13:04 2019  commencing in-memory singleton removal
  534. Thu Sep 12 10:13:30 2019  begin with 196743142 relations and 167780339 unique ideals
  535. Thu Sep 12 10:17:44 2019  reduce to 130348114 relations and 94610184 ideals in 12 passes
  536. Thu Sep 12 10:17:44 2019  max relations containing the same ideal: 162
  537. Thu Sep 12 10:19:27 2019  removing 9474063 relations and 7474063 ideals in 2000000 cliques
  538. Thu Sep 12 10:19:31 2019  commencing in-memory singleton removal
  539. Thu Sep 12 10:19:46 2019  begin with 120874051 relations and 94610184 unique ideals
  540. Thu Sep 12 10:21:44 2019  reduce to 120361527 relations and 86613772 ideals in 7 passes
  541. Thu Sep 12 10:21:44 2019  max relations containing the same ideal: 156
  542. Thu Sep 12 10:23:15 2019  removing 7265409 relations and 5265409 ideals in 2000000 cliques
  543. Thu Sep 12 10:23:19 2019  commencing in-memory singleton removal
  544. Thu Sep 12 10:23:33 2019  begin with 113096118 relations and 86613772 unique ideals
  545. Thu Sep 12 10:25:24 2019  reduce to 112751764 relations and 80998056 ideals in 7 passes
  546. Thu Sep 12 10:25:24 2019  max relations containing the same ideal: 151
  547. Thu Sep 12 10:26:48 2019  removing 6632178 relations and 4632178 ideals in 2000000 cliques
  548. Thu Sep 12 10:26:52 2019  commencing in-memory singleton removal
  549. Thu Sep 12 10:27:04 2019  begin with 106119586 relations and 80998056 unique ideals
  550. Thu Sep 12 10:28:30 2019  reduce to 105823574 relations and 76064629 ideals in 6 passes
  551. Thu Sep 12 10:28:30 2019  max relations containing the same ideal: 145
  552. Thu Sep 12 10:29:49 2019  removing 6294760 relations and 4294760 ideals in 2000000 cliques
  553. Thu Sep 12 10:29:52 2019  commencing in-memory singleton removal
  554. Thu Sep 12 10:30:04 2019  begin with 99528814 relations and 76064629 unique ideals
  555. Thu Sep 12 10:31:36 2019  reduce to 99258020 relations and 71494100 ideals in 7 passes
  556. Thu Sep 12 10:31:36 2019  max relations containing the same ideal: 139
  557. Thu Sep 12 10:32:51 2019  removing 6068861 relations and 4068861 ideals in 2000000 cliques
  558. Thu Sep 12 10:32:54 2019  commencing in-memory singleton removal
  559. Thu Sep 12 10:33:05 2019  begin with 93189159 relations and 71494100 unique ideals
  560. Thu Sep 12 10:34:31 2019  reduce to 92932166 relations and 67163420 ideals in 7 passes
  561. Thu Sep 12 10:34:31 2019  max relations containing the same ideal: 135
  562. Thu Sep 12 10:35:40 2019  removing 5909611 relations and 3909611 ideals in 2000000 cliques
  563. Thu Sep 12 10:35:43 2019  commencing in-memory singleton removal
  564. Thu Sep 12 10:35:53 2019  begin with 87022555 relations and 67163420 unique ideals
  565. Thu Sep 12 10:37:12 2019  reduce to 86772329 relations and 62998560 ideals in 7 passes
  566. Thu Sep 12 10:37:12 2019  max relations containing the same ideal: 130
  567. Thu Sep 12 10:38:17 2019  removing 5787545 relations and 3787545 ideals in 2000000 cliques
  568. Thu Sep 12 10:38:20 2019  commencing in-memory singleton removal
  569. Thu Sep 12 10:38:29 2019  begin with 80984784 relations and 62998560 unique ideals
  570. Thu Sep 12 10:39:31 2019  reduce to 80737010 relations and 58958063 ideals in 6 passes
  571. Thu Sep 12 10:39:31 2019  max relations containing the same ideal: 119
  572. Thu Sep 12 10:40:31 2019  removing 5688314 relations and 3688314 ideals in 2000000 cliques
  573. Thu Sep 12 10:40:34 2019  commencing in-memory singleton removal
  574. Thu Sep 12 10:40:43 2019  begin with 75048696 relations and 58958063 unique ideals
  575. Thu Sep 12 10:41:39 2019  reduce to 74800245 relations and 55015800 ideals in 6 passes
  576. Thu Sep 12 10:41:39 2019  max relations containing the same ideal: 114
  577. Thu Sep 12 10:42:35 2019  removing 5610506 relations and 3610506 ideals in 2000000 cliques
  578. Thu Sep 12 10:42:38 2019  commencing in-memory singleton removal
  579. Thu Sep 12 10:42:46 2019  begin with 69189739 relations and 55015800 unique ideals
  580. Thu Sep 12 10:43:37 2019  reduce to 68938490 relations and 51148161 ideals in 6 passes
  581. Thu Sep 12 10:43:37 2019  max relations containing the same ideal: 111
  582. Thu Sep 12 10:44:28 2019  removing 5545618 relations and 3545618 ideals in 2000000 cliques
  583. Thu Sep 12 10:44:31 2019  commencing in-memory singleton removal
  584. Thu Sep 12 10:44:38 2019  begin with 63392872 relations and 51148161 unique ideals
  585. Thu Sep 12 10:45:25 2019  reduce to 63134982 relations and 47338001 ideals in 6 passes
  586. Thu Sep 12 10:45:25 2019  max relations containing the same ideal: 106
  587. Thu Sep 12 10:46:12 2019  removing 5488027 relations and 3488027 ideals in 2000000 cliques
  588. Thu Sep 12 10:46:15 2019  commencing in-memory singleton removal
  589. Thu Sep 12 10:46:22 2019  begin with 57646955 relations and 47338001 unique ideals
  590. Thu Sep 12 10:47:04 2019  reduce to 57381606 relations and 43577339 ideals in 6 passes
  591. Thu Sep 12 10:47:04 2019  max relations containing the same ideal: 100
  592. Thu Sep 12 10:47:47 2019  removing 5441440 relations and 3441440 ideals in 2000000 cliques
  593. Thu Sep 12 10:47:50 2019  commencing in-memory singleton removal
  594. Thu Sep 12 10:47:55 2019  begin with 51940166 relations and 43577339 unique ideals
  595. Thu Sep 12 10:48:34 2019  reduce to 51661271 relations and 39848612 ideals in 6 passes
  596. Thu Sep 12 10:48:34 2019  max relations containing the same ideal: 94
  597. Thu Sep 12 10:49:13 2019  removing 5398851 relations and 3398851 ideals in 2000000 cliques
  598. Thu Sep 12 10:49:15 2019  commencing in-memory singleton removal
  599. Thu Sep 12 10:49:20 2019  begin with 46262420 relations and 39848612 unique ideals
  600. Thu Sep 12 10:49:54 2019  reduce to 45965253 relations and 36142798 ideals in 6 passes
  601. Thu Sep 12 10:49:54 2019  max relations containing the same ideal: 84
  602. Thu Sep 12 10:50:29 2019  removing 5366171 relations and 3366171 ideals in 2000000 cliques
  603. Thu Sep 12 10:50:31 2019  commencing in-memory singleton removal
  604. Thu Sep 12 10:50:35 2019  begin with 40599082 relations and 36142798 unique ideals
  605. Thu Sep 12 10:51:05 2019  reduce to 40274388 relations and 32439964 ideals in 6 passes
  606. Thu Sep 12 10:51:05 2019  max relations containing the same ideal: 77
  607. Thu Sep 12 10:51:36 2019  removing 5342558 relations and 3342558 ideals in 2000000 cliques
  608. Thu Sep 12 10:51:38 2019  commencing in-memory singleton removal
  609. Thu Sep 12 10:51:42 2019  begin with 34931830 relations and 32439964 unique ideals
  610. Thu Sep 12 10:52:11 2019  reduce to 34561158 relations and 28711603 ideals in 7 passes
  611. Thu Sep 12 10:52:11 2019  max relations containing the same ideal: 71
  612. Thu Sep 12 10:52:37 2019  removing 5337892 relations and 3337892 ideals in 2000000 cliques
  613. Thu Sep 12 10:52:40 2019  commencing in-memory singleton removal
  614. Thu Sep 12 10:52:43 2019  begin with 29223266 relations and 28711603 unique ideals
  615. Thu Sep 12 10:53:07 2019  reduce to 28774125 relations and 24903033 ideals in 7 passes
  616. Thu Sep 12 10:53:07 2019  max relations containing the same ideal: 62
  617. Thu Sep 12 10:53:29 2019  removing 5375342 relations and 3375342 ideals in 2000000 cliques
  618. Thu Sep 12 10:53:32 2019  commencing in-memory singleton removal
  619. Thu Sep 12 10:53:34 2019  begin with 23398783 relations and 24903033 unique ideals
  620. Thu Sep 12 10:53:53 2019  reduce to 22791047 relations and 20885051 ideals in 7 passes
  621. Thu Sep 12 10:53:53 2019  max relations containing the same ideal: 55
  622. Thu Sep 12 10:54:11 2019  removing 2456637 relations and 1688932 ideals in 767705 cliques
  623. Thu Sep 12 10:54:13 2019  commencing in-memory singleton removal
  624. Thu Sep 12 10:54:15 2019  begin with 20334410 relations and 20885051 unique ideals
  625. Thu Sep 12 10:54:31 2019  reduce to 20086957 relations and 18940846 ideals in 7 passes
  626. Thu Sep 12 10:54:31 2019  max relations containing the same ideal: 51
  627. Thu Sep 12 10:54:51 2019  relations with 0 large ideals: 37000
  628. Thu Sep 12 10:54:51 2019  relations with 1 large ideals: 118274
  629. Thu Sep 12 10:54:51 2019  relations with 2 large ideals: 720965
  630. Thu Sep 12 10:54:51 2019  relations with 3 large ideals: 2578636
  631. Thu Sep 12 10:54:51 2019  relations with 4 large ideals: 4846457
  632. Thu Sep 12 10:54:51 2019  relations with 5 large ideals: 5371961
  633. Thu Sep 12 10:54:51 2019  relations with 6 large ideals: 3721138
  634. Thu Sep 12 10:54:51 2019  relations with 7+ large ideals: 2692526
  635. Thu Sep 12 10:54:51 2019  commencing 2-way merge
  636. Thu Sep 12 10:55:10 2019  reduce to 13630763 relation sets and 12484652 unique ideals
  637. Thu Sep 12 10:55:10 2019  commencing full merge
  638. Thu Sep 12 11:03:12 2019  memory use: 1471.9 MB
  639. Thu Sep 12 11:03:15 2019  found 5853953 cycles, need 5782852
  640. Thu Sep 12 11:03:18 2019  weight of 5782852 cycles is about 682977430 (118.10/cycle)
  641. Thu Sep 12 11:03:18 2019  distribution of cycle lengths:
  642. Thu Sep 12 11:03:18 2019  1 relations: 222804
  643. Thu Sep 12 11:03:18 2019  2 relations: 282010
  644. Thu Sep 12 11:03:18 2019  3 relations: 341994
  645. Thu Sep 12 11:03:18 2019  4 relations: 376774
  646. Thu Sep 12 11:03:18 2019  5 relations: 406438
  647. Thu Sep 12 11:03:18 2019  6 relations: 418380
  648. Thu Sep 12 11:03:18 2019  7 relations: 418515
  649. Thu Sep 12 11:03:18 2019  8 relations: 409249
  650. Thu Sep 12 11:03:18 2019  9 relations: 387301
  651. Thu Sep 12 11:03:18 2019  10+ relations: 2519387
  652. Thu Sep 12 11:03:19 2019  heaviest cycle: 28 relations
  653. Thu Sep 12 11:03:22 2019  commencing cycle optimization
  654. Thu Sep 12 11:03:48 2019  start with 54135772 relations
  655. Thu Sep 12 11:07:42 2019  pruned 2898453 relations
  656. Thu Sep 12 11:07:42 2019  memory use: 1373.5 MB
  657. Thu Sep 12 11:07:42 2019  distribution of cycle lengths:
  658. Thu Sep 12 11:07:42 2019  1 relations: 222804
  659. Thu Sep 12 11:07:42 2019  2 relations: 288988
  660. Thu Sep 12 11:07:42 2019  3 relations: 356662
  661. Thu Sep 12 11:07:42 2019  4 relations: 395008
  662. Thu Sep 12 11:07:42 2019  5 relations: 430859
  663. Thu Sep 12 11:07:42 2019  6 relations: 444311
  664. Thu Sep 12 11:07:42 2019  7 relations: 447969
  665. Thu Sep 12 11:07:42 2019  8 relations: 436349
  666. Thu Sep 12 11:07:42 2019  9 relations: 412802
  667. Thu Sep 12 11:07:42 2019  10+ relations: 2347100
  668. Thu Sep 12 11:07:42 2019  heaviest cycle: 28 relations
  669. Thu Sep 12 11:08:01 2019  RelProcTime: 9483
  670. Thu Sep 12 11:08:01 2019  elapsed time 02:38:04
  671. Thu Sep 12 11:08:01 2019  
  672. Thu Sep 12 11:08:01 2019  
  673. Thu Sep 12 11:08:01 2019  Msieve v. 1.54 (SVN 1030M)
  674. Thu Sep 12 11:08:01 2019  random seeds: af1a40c4 db336a7d
  675. Thu Sep 12 11:08:01 2019  factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits)
  676. Thu Sep 12 11:08:03 2019  no P-1/P+1/ECM available, skipping
  677. Thu Sep 12 11:08:03 2019  commencing number field sieve (172-digit input)
  678. Thu Sep 12 11:08:03 2019  R0: -37779229886181038662693
  679. Thu Sep 12 11:08:03 2019  R1: 167772160000000000000
  680. Thu Sep 12 11:08:03 2019  A0: 16
  681. Thu Sep 12 11:08:03 2019  A1: 320
  682. Thu Sep 12 11:08:03 2019  A2: 1280
  683. Thu Sep 12 11:08:03 2019  A3: 1400
  684. Thu Sep 12 11:08:03 2019  A4: -1200
  685. Thu Sep 12 11:08:03 2019  A5: -3000
  686. Thu Sep 12 11:08:03 2019  A6: -750
  687. Thu Sep 12 11:08:03 2019  A7: 1250
  688. Thu Sep 12 11:08:03 2019  A8: 625
  689. Thu Sep 12 11:08:03 2019  skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8
  690. Thu Sep 12 11:08:03 2019  
  691. Thu Sep 12 11:08:03 2019  commencing relation filtering
  692. Thu Sep 12 11:08:03 2019  setting target matrix density to 126.0
  693. Thu Sep 12 11:08:03 2019  estimated available RAM is 95375.2 MB
  694. Thu Sep 12 11:08:03 2019  commencing duplicate removal, pass 1
  695.   3 errors
  696. Thu Sep 12 11:54:41 2019  skipped 56 relations with composite factors
  697. Thu Sep 12 11:54:41 2019  found 8481989 hash collisions in 196743142 relations
  698. Thu Sep 12 11:54:41 2019  commencing duplicate removal, pass 2
  699. Thu Sep 12 11:56:14 2019  found 0 duplicates and 196743142 unique relations
  700. Thu Sep 12 11:56:14 2019  memory use: 522.4 MB
  701. Thu Sep 12 11:56:14 2019  reading ideals above 720000
  702. Thu Sep 12 11:56:15 2019  commencing singleton removal, initial pass
  703. Thu Sep 12 12:48:30 2019  memory use: 5512.0 MB
  704. Thu Sep 12 12:48:30 2019  reading all ideals from disk
  705. Thu Sep 12 12:48:36 2019  memory use: 7378.7 MB
  706. Thu Sep 12 12:49:11 2019  keeping 167780339 ideals with weight <= 200, target excess is 981285
  707. Thu Sep 12 12:49:55 2019  commencing in-memory singleton removal
  708. Thu Sep 12 12:50:21 2019  begin with 196743142 relations and 167780339 unique ideals
  709. Thu Sep 12 12:54:34 2019  reduce to 130348114 relations and 94610184 ideals in 12 passes
  710. Thu Sep 12 12:54:34 2019  max relations containing the same ideal: 162
  711. Thu Sep 12 12:56:14 2019  removing 9474063 relations and 7474063 ideals in 2000000 cliques
  712. Thu Sep 12 12:56:19 2019  commencing in-memory singleton removal
  713. Thu Sep 12 12:56:34 2019  begin with 120874051 relations and 94610184 unique ideals
  714. Thu Sep 12 12:58:31 2019  reduce to 120361527 relations and 86613772 ideals in 7 passes
  715. Thu Sep 12 12:58:31 2019  max relations containing the same ideal: 156
  716. Thu Sep 12 13:00:02 2019  removing 7265409 relations and 5265409 ideals in 2000000 cliques
  717. Thu Sep 12 13:00:06 2019  commencing in-memory singleton removal
  718. Thu Sep 12 13:00:19 2019  begin with 113096118 relations and 86613772 unique ideals
  719. Thu Sep 12 13:02:08 2019  reduce to 112751764 relations and 80998056 ideals in 7 passes
  720. Thu Sep 12 13:02:08 2019  max relations containing the same ideal: 151
  721. Thu Sep 12 13:03:33 2019  removing 6632178 relations and 4632178 ideals in 2000000 cliques
  722. Thu Sep 12 13:03:37 2019  commencing in-memory singleton removal
  723. Thu Sep 12 13:03:50 2019  begin with 106119586 relations and 80998056 unique ideals
  724. Thu Sep 12 13:05:15 2019  reduce to 105823574 relations and 76064629 ideals in 6 passes
  725. Thu Sep 12 13:05:15 2019  max relations containing the same ideal: 145
  726. Thu Sep 12 13:06:34 2019  removing 6294760 relations and 4294760 ideals in 2000000 cliques
  727. Thu Sep 12 13:06:38 2019  commencing in-memory singleton removal
  728. Thu Sep 12 13:06:49 2019  begin with 99528814 relations and 76064629 unique ideals
  729. Thu Sep 12 13:08:23 2019  reduce to 99258020 relations and 71494100 ideals in 7 passes
  730. Thu Sep 12 13:08:23 2019  max relations containing the same ideal: 139
  731. Thu Sep 12 13:09:38 2019  removing 6068861 relations and 4068861 ideals in 2000000 cliques
  732. Thu Sep 12 13:09:42 2019  commencing in-memory singleton removal
  733. Thu Sep 12 13:09:53 2019  begin with 93189159 relations and 71494100 unique ideals
  734. Thu Sep 12 13:11:17 2019  reduce to 92932166 relations and 67163420 ideals in 7 passes
  735. Thu Sep 12 13:11:17 2019  max relations containing the same ideal: 135
  736. Thu Sep 12 13:12:27 2019  removing 5909611 relations and 3909611 ideals in 2000000 cliques
  737. Thu Sep 12 13:12:31 2019  commencing in-memory singleton removal
  738. Thu Sep 12 13:12:41 2019  begin with 87022555 relations and 67163420 unique ideals
  739. Thu Sep 12 13:14:00 2019  reduce to 86772329 relations and 62998560 ideals in 7 passes
  740. Thu Sep 12 13:14:00 2019  max relations containing the same ideal: 130
  741. Thu Sep 12 13:15:05 2019  removing 5787545 relations and 3787545 ideals in 2000000 cliques
  742. Thu Sep 12 13:15:08 2019  commencing in-memory singleton removal
  743. Thu Sep 12 13:15:17 2019  begin with 80984784 relations and 62998560 unique ideals
  744. Thu Sep 12 13:16:19 2019  reduce to 80737010 relations and 58958063 ideals in 6 passes
  745. Thu Sep 12 13:16:19 2019  max relations containing the same ideal: 119
  746. Thu Sep 12 13:17:21 2019  removing 5688314 relations and 3688314 ideals in 2000000 cliques
  747. Thu Sep 12 13:17:24 2019  commencing in-memory singleton removal
  748. Thu Sep 12 13:17:32 2019  begin with 75048696 relations and 58958063 unique ideals
  749. Thu Sep 12 13:18:29 2019  reduce to 74800245 relations and 55015800 ideals in 6 passes
  750. Thu Sep 12 13:18:29 2019  max relations containing the same ideal: 114
  751. Thu Sep 12 13:19:25 2019  removing 5610506 relations and 3610506 ideals in 2000000 cliques
  752. Thu Sep 12 13:19:28 2019  commencing in-memory singleton removal
  753. Thu Sep 12 13:19:36 2019  begin with 69189739 relations and 55015800 unique ideals
  754. Thu Sep 12 13:20:28 2019  reduce to 68938490 relations and 51148161 ideals in 6 passes
  755. Thu Sep 12 13:20:28 2019  max relations containing the same ideal: 111
  756. Thu Sep 12 13:21:20 2019  removing 5545618 relations and 3545618 ideals in 2000000 cliques
  757. Thu Sep 12 13:21:22 2019  commencing in-memory singleton removal
  758. Thu Sep 12 13:21:30 2019  begin with 63392872 relations and 51148161 unique ideals
  759. Thu Sep 12 13:22:16 2019  reduce to 63134982 relations and 47338001 ideals in 6 passes
  760. Thu Sep 12 13:22:16 2019  max relations containing the same ideal: 106
  761. Thu Sep 12 13:23:03 2019  removing 5488027 relations and 3488027 ideals in 2000000 cliques
  762. Thu Sep 12 13:23:06 2019  commencing in-memory singleton removal
  763. Thu Sep 12 13:23:12 2019  begin with 57646955 relations and 47338001 unique ideals
  764. Thu Sep 12 13:23:54 2019  reduce to 57381606 relations and 43577339 ideals in 6 passes
  765. Thu Sep 12 13:23:54 2019  max relations containing the same ideal: 100
  766. Thu Sep 12 13:24:37 2019  removing 5441440 relations and 3441440 ideals in 2000000 cliques
  767. Thu Sep 12 13:24:40 2019  commencing in-memory singleton removal
  768. Thu Sep 12 13:24:45 2019  begin with 51940166 relations and 43577339 unique ideals
  769. Thu Sep 12 13:25:23 2019  reduce to 51661271 relations and 39848612 ideals in 6 passes
  770. Thu Sep 12 13:25:23 2019  max relations containing the same ideal: 94
  771. Thu Sep 12 13:26:03 2019  removing 5398851 relations and 3398851 ideals in 2000000 cliques
  772. Thu Sep 12 13:26:05 2019  commencing in-memory singleton removal
  773. Thu Sep 12 13:26:11 2019  begin with 46262420 relations and 39848612 unique ideals
  774. Thu Sep 12 13:26:44 2019  reduce to 45965253 relations and 36142798 ideals in 6 passes
  775. Thu Sep 12 13:26:44 2019  max relations containing the same ideal: 84
  776. Thu Sep 12 13:27:19 2019  removing 5366171 relations and 3366171 ideals in 2000000 cliques
  777. Thu Sep 12 13:27:21 2019  commencing in-memory singleton removal
  778. Thu Sep 12 13:27:26 2019  begin with 40599082 relations and 36142798 unique ideals
  779. Thu Sep 12 13:27:55 2019  reduce to 40274388 relations and 32439964 ideals in 6 passes
  780. Thu Sep 12 13:27:55 2019  max relations containing the same ideal: 77
  781. Thu Sep 12 13:28:25 2019  removing 5342558 relations and 3342558 ideals in 2000000 cliques
  782. Thu Sep 12 13:28:28 2019  commencing in-memory singleton removal
  783. Thu Sep 12 13:28:32 2019  begin with 34931830 relations and 32439964 unique ideals
  784. Thu Sep 12 13:29:00 2019  reduce to 34561158 relations and 28711603 ideals in 7 passes
  785. Thu Sep 12 13:29:00 2019  max relations containing the same ideal: 71
  786. Thu Sep 12 13:29:26 2019  removing 5337892 relations and 3337892 ideals in 2000000 cliques
  787. Thu Sep 12 13:29:29 2019  commencing in-memory singleton removal
  788. Thu Sep 12 13:29:32 2019  begin with 29223266 relations and 28711603 unique ideals
  789. Thu Sep 12 13:29:55 2019  reduce to 28774125 relations and 24903033 ideals in 7 passes
  790. Thu Sep 12 13:29:55 2019  max relations containing the same ideal: 62
  791. Thu Sep 12 13:30:18 2019  removing 5375342 relations and 3375342 ideals in 2000000 cliques
  792. Thu Sep 12 13:30:20 2019  commencing in-memory singleton removal
  793. Thu Sep 12 13:30:23 2019  begin with 23398783 relations and 24903033 unique ideals
  794. Thu Sep 12 13:30:41 2019  reduce to 22791047 relations and 20885051 ideals in 7 passes
  795. Thu Sep 12 13:30:41 2019  max relations containing the same ideal: 55
  796. Thu Sep 12 13:30:59 2019  removing 2456637 relations and 1688932 ideals in 767705 cliques
  797. Thu Sep 12 13:31:00 2019  commencing in-memory singleton removal
  798. Thu Sep 12 13:31:02 2019  begin with 20334410 relations and 20885051 unique ideals
  799. Thu Sep 12 13:31:18 2019  reduce to 20086957 relations and 18940846 ideals in 7 passes
  800. Thu Sep 12 13:31:18 2019  max relations containing the same ideal: 51
  801. Thu Sep 12 13:31:38 2019  relations with 0 large ideals: 37000
  802. Thu Sep 12 13:31:38 2019  relations with 1 large ideals: 118274
  803. Thu Sep 12 13:31:38 2019  relations with 2 large ideals: 720965
  804. Thu Sep 12 13:31:38 2019  relations with 3 large ideals: 2578636
  805. Thu Sep 12 13:31:38 2019  relations with 4 large ideals: 4846457
  806. Thu Sep 12 13:31:38 2019  relations with 5 large ideals: 5371961
  807. Thu Sep 12 13:31:38 2019  relations with 6 large ideals: 3721138
  808. Thu Sep 12 13:31:38 2019  relations with 7+ large ideals: 2692526
  809. Thu Sep 12 13:31:38 2019  commencing 2-way merge
  810. Thu Sep 12 13:31:57 2019  reduce to 13630763 relation sets and 12484652 unique ideals
  811. Thu Sep 12 13:31:57 2019  commencing full merge
  812. Thu Sep 12 13:40:22 2019  memory use: 1470.5 MB
  813. Thu Sep 12 13:40:24 2019  found 5705089 cycles, need 5672852
  814. Thu Sep 12 13:40:28 2019  weight of 5672852 cycles is about 715111557 (126.06/cycle)
  815. Thu Sep 12 13:40:28 2019  distribution of cycle lengths:
  816. Thu Sep 12 13:40:28 2019  1 relations: 199006
  817. Thu Sep 12 13:40:28 2019  2 relations: 251347
  818. Thu Sep 12 13:40:28 2019  3 relations: 308221
  819. Thu Sep 12 13:40:28 2019  4 relations: 340730
  820. Thu Sep 12 13:40:28 2019  5 relations: 368751
  821. Thu Sep 12 13:40:28 2019  6 relations: 381969
  822. Thu Sep 12 13:40:28 2019  7 relations: 388166
  823. Thu Sep 12 13:40:28 2019  8 relations: 381122
  824. Thu Sep 12 13:40:28 2019  9 relations: 368345
  825. Thu Sep 12 13:40:28 2019  10+ relations: 2685195
  826. Thu Sep 12 13:40:28 2019  heaviest cycle: 28 relations
  827. Thu Sep 12 13:40:32 2019  commencing cycle optimization
  828. Thu Sep 12 13:40:56 2019  start with 56596535 relations
  829. Thu Sep 12 13:45:18 2019  pruned 3217206 relations
  830. Thu Sep 12 13:45:18 2019  memory use: 1396.8 MB
  831. Thu Sep 12 13:45:18 2019  distribution of cycle lengths:
  832. Thu Sep 12 13:45:18 2019  1 relations: 199006
  833. Thu Sep 12 13:45:18 2019  2 relations: 257690
  834. Thu Sep 12 13:45:18 2019  3 relations: 321492
  835. Thu Sep 12 13:45:18 2019  4 relations: 357277
  836. Thu Sep 12 13:45:18 2019  5 relations: 391096
  837. Thu Sep 12 13:45:18 2019  6 relations: 406860
  838. Thu Sep 12 13:45:18 2019  7 relations: 416392
  839. Thu Sep 12 13:45:18 2019  8 relations: 408049
  840. Thu Sep 12 13:45:18 2019  9 relations: 394911
  841. Thu Sep 12 13:45:18 2019  10+ relations: 2520079
  842. Thu Sep 12 13:45:18 2019  heaviest cycle: 28 relations
  843. Thu Sep 12 13:45:38 2019  RelProcTime: 9455
  844. Thu Sep 12 13:45:38 2019  elapsed time 02:37:37
  845. Thu Sep 12 13:45:38 2019  
  846. Thu Sep 12 13:45:38 2019  
  847. Thu Sep 12 13:45:38 2019  Msieve v. 1.54 (SVN 1030M)
  848. Thu Sep 12 13:45:38 2019  random seeds: e3146968 93dc40a4
  849. Thu Sep 12 13:45:38 2019  factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits)
  850. Thu Sep 12 13:45:40 2019  no P-1/P+1/ECM available, skipping
  851. Thu Sep 12 13:45:40 2019  commencing number field sieve (172-digit input)
  852. Thu Sep 12 13:45:40 2019  R0: -37779229886181038662693
  853. Thu Sep 12 13:45:40 2019  R1: 167772160000000000000
  854. Thu Sep 12 13:45:40 2019  A0: 16
  855. Thu Sep 12 13:45:40 2019  A1: 320
  856. Thu Sep 12 13:45:40 2019  A2: 1280
  857. Thu Sep 12 13:45:40 2019  A3: 1400
  858. Thu Sep 12 13:45:40 2019  A4: -1200
  859. Thu Sep 12 13:45:40 2019  A5: -3000
  860. Thu Sep 12 13:45:40 2019  A6: -750
  861. Thu Sep 12 13:45:40 2019  A7: 1250
  862. Thu Sep 12 13:45:40 2019  A8: 625
  863. Thu Sep 12 13:45:40 2019  skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8
  864. Thu Sep 12 13:45:40 2019  
  865. Thu Sep 12 13:45:40 2019  commencing relation filtering
  866. Thu Sep 12 13:45:40 2019  setting target matrix density to 130.0
  867. Thu Sep 12 13:45:40 2019  estimated available RAM is 95375.2 MB
  868. Thu Sep 12 13:45:40 2019  commencing duplicate removal, pass 1
  869.   3 errors
  870. Thu Sep 12 14:32:15 2019  skipped 56 relations with composite factors
  871. Thu Sep 12 14:32:15 2019  found 8481989 hash collisions in 196743142 relations
  872. Thu Sep 12 14:32:15 2019  commencing duplicate removal, pass 2
  873. Thu Sep 12 14:33:50 2019  found 0 duplicates and 196743142 unique relations
  874. Thu Sep 12 14:33:50 2019  memory use: 522.4 MB
  875. Thu Sep 12 14:33:50 2019  reading ideals above 720000
  876. Thu Sep 12 14:33:51 2019  commencing singleton removal, initial pass
  877. Thu Sep 12 15:26:36 2019  memory use: 5512.0 MB
  878. Thu Sep 12 15:26:36 2019  reading all ideals from disk
  879. Thu Sep 12 15:26:42 2019  memory use: 7378.7 MB
  880. Thu Sep 12 15:27:17 2019  keeping 167780339 ideals with weight <= 200, target excess is 981285
  881. Thu Sep 12 15:28:00 2019  commencing in-memory singleton removal
  882. Thu Sep 12 15:28:26 2019  begin with 196743142 relations and 167780339 unique ideals
  883. Thu Sep 12 15:32:39 2019  reduce to 130348114 relations and 94610184 ideals in 12 passes
  884. Thu Sep 12 15:32:39 2019  max relations containing the same ideal: 162
  885. Thu Sep 12 15:34:19 2019  removing 9474063 relations and 7474063 ideals in 2000000 cliques
  886. Thu Sep 12 15:34:23 2019  commencing in-memory singleton removal
  887. Thu Sep 12 15:34:38 2019  begin with 120874051 relations and 94610184 unique ideals
  888. Thu Sep 12 15:36:37 2019  reduce to 120361527 relations and 86613772 ideals in 7 passes
  889. Thu Sep 12 15:36:37 2019  max relations containing the same ideal: 156
  890. Thu Sep 12 15:38:07 2019  removing 7265409 relations and 5265409 ideals in 2000000 cliques
  891. Thu Sep 12 15:38:11 2019  commencing in-memory singleton removal
  892. Thu Sep 12 15:38:25 2019  begin with 113096118 relations and 86613772 unique ideals
  893. Thu Sep 12 15:40:13 2019  reduce to 112751764 relations and 80998056 ideals in 7 passes
  894. Thu Sep 12 15:40:13 2019  max relations containing the same ideal: 151
  895. Thu Sep 12 15:41:37 2019  removing 6632178 relations and 4632178 ideals in 2000000 cliques
  896. Thu Sep 12 15:41:41 2019  commencing in-memory singleton removal
  897. Thu Sep 12 15:41:54 2019  begin with 106119586 relations and 80998056 unique ideals
  898. Thu Sep 12 15:43:19 2019  reduce to 105823574 relations and 76064629 ideals in 6 passes
  899. Thu Sep 12 15:43:19 2019  max relations containing the same ideal: 145
  900. Thu Sep 12 15:44:37 2019  removing 6294760 relations and 4294760 ideals in 2000000 cliques
  901. Thu Sep 12 15:44:41 2019  commencing in-memory singleton removal
  902. Thu Sep 12 15:44:52 2019  begin with 99528814 relations and 76064629 unique ideals
  903. Thu Sep 12 15:46:24 2019  reduce to 99258020 relations and 71494100 ideals in 7 passes
  904. Thu Sep 12 15:46:24 2019  max relations containing the same ideal: 139
  905. Thu Sep 12 15:47:39 2019  removing 6068861 relations and 4068861 ideals in 2000000 cliques
  906. Thu Sep 12 15:47:42 2019  commencing in-memory singleton removal
  907. Thu Sep 12 15:47:53 2019  begin with 93189159 relations and 71494100 unique ideals
  908. Thu Sep 12 15:49:18 2019  reduce to 92932166 relations and 67163420 ideals in 7 passes
  909. Thu Sep 12 15:49:18 2019  max relations containing the same ideal: 135
  910. Thu Sep 12 15:50:30 2019  removing 5909611 relations and 3909611 ideals in 2000000 cliques
  911. Thu Sep 12 15:50:33 2019  commencing in-memory singleton removal
  912. Thu Sep 12 15:50:44 2019  begin with 87022555 relations and 67163420 unique ideals
  913. Thu Sep 12 15:52:02 2019  reduce to 86772329 relations and 62998560 ideals in 7 passes
  914. Thu Sep 12 15:52:02 2019  max relations containing the same ideal: 130
  915. Thu Sep 12 15:53:07 2019  removing 5787545 relations and 3787545 ideals in 2000000 cliques
  916. Thu Sep 12 15:53:10 2019  commencing in-memory singleton removal
  917. Thu Sep 12 15:53:20 2019  begin with 80984784 relations and 62998560 unique ideals
  918. Thu Sep 12 15:54:22 2019  reduce to 80737010 relations and 58958063 ideals in 6 passes
  919. Thu Sep 12 15:54:22 2019  max relations containing the same ideal: 119
  920. Thu Sep 12 15:55:22 2019  removing 5688314 relations and 3688314 ideals in 2000000 cliques
  921. Thu Sep 12 15:55:25 2019  commencing in-memory singleton removal
  922. Thu Sep 12 15:55:34 2019  begin with 75048696 relations and 58958063 unique ideals
  923. Thu Sep 12 15:56:30 2019  reduce to 74800245 relations and 55015800 ideals in 6 passes
  924. Thu Sep 12 15:56:30 2019  max relations containing the same ideal: 114
  925. Thu Sep 12 15:57:25 2019  removing 5610506 relations and 3610506 ideals in 2000000 cliques
  926. Thu Sep 12 15:57:28 2019  commencing in-memory singleton removal
  927. Thu Sep 12 15:57:36 2019  begin with 69189739 relations and 55015800 unique ideals
  928. Thu Sep 12 15:58:27 2019  reduce to 68938490 relations and 51148161 ideals in 6 passes
  929. Thu Sep 12 15:58:27 2019  max relations containing the same ideal: 111
  930. Thu Sep 12 15:59:19 2019  removing 5545618 relations and 3545618 ideals in 2000000 cliques
  931. Thu Sep 12 15:59:22 2019  commencing in-memory singleton removal
  932. Thu Sep 12 15:59:29 2019  begin with 63392872 relations and 51148161 unique ideals
  933. Thu Sep 12 16:00:15 2019  reduce to 63134982 relations and 47338001 ideals in 6 passes
  934. Thu Sep 12 16:00:15 2019  max relations containing the same ideal: 106
  935. Thu Sep 12 16:01:03 2019  removing 5488027 relations and 3488027 ideals in 2000000 cliques
  936. Thu Sep 12 16:01:05 2019  commencing in-memory singleton removal
  937. Thu Sep 12 16:01:12 2019  begin with 57646955 relations and 47338001 unique ideals
  938. Thu Sep 12 16:01:54 2019  reduce to 57381606 relations and 43577339 ideals in 6 passes
  939. Thu Sep 12 16:01:54 2019  max relations containing the same ideal: 100
  940. Thu Sep 12 16:02:37 2019  removing 5441440 relations and 3441440 ideals in 2000000 cliques
  941. Thu Sep 12 16:02:40 2019  commencing in-memory singleton removal
  942. Thu Sep 12 16:02:45 2019  begin with 51940166 relations and 43577339 unique ideals
  943. Thu Sep 12 16:03:23 2019  reduce to 51661271 relations and 39848612 ideals in 6 passes
  944. Thu Sep 12 16:03:23 2019  max relations containing the same ideal: 94
  945. Thu Sep 12 16:04:03 2019  removing 5398851 relations and 3398851 ideals in 2000000 cliques
  946. Thu Sep 12 16:04:05 2019  commencing in-memory singleton removal
  947. Thu Sep 12 16:04:10 2019  begin with 46262420 relations and 39848612 unique ideals
  948. Thu Sep 12 16:04:43 2019  reduce to 45965253 relations and 36142798 ideals in 6 passes
  949. Thu Sep 12 16:04:43 2019  max relations containing the same ideal: 84
  950. Thu Sep 12 16:05:17 2019  removing 5366171 relations and 3366171 ideals in 2000000 cliques
  951. Thu Sep 12 16:05:20 2019  commencing in-memory singleton removal
  952. Thu Sep 12 16:05:24 2019  begin with 40599082 relations and 36142798 unique ideals
  953. Thu Sep 12 16:05:52 2019  reduce to 40274388 relations and 32439964 ideals in 6 passes
  954. Thu Sep 12 16:05:52 2019  max relations containing the same ideal: 77
  955. Thu Sep 12 16:06:23 2019  removing 5342558 relations and 3342558 ideals in 2000000 cliques
  956. Thu Sep 12 16:06:25 2019  commencing in-memory singleton removal
  957. Thu Sep 12 16:06:29 2019  begin with 34931830 relations and 32439964 unique ideals
  958. Thu Sep 12 16:06:57 2019  reduce to 34561158 relations and 28711603 ideals in 7 passes
  959. Thu Sep 12 16:06:57 2019  max relations containing the same ideal: 71
  960. Thu Sep 12 16:07:23 2019  removing 5337892 relations and 3337892 ideals in 2000000 cliques
  961. Thu Sep 12 16:07:26 2019  commencing in-memory singleton removal
  962. Thu Sep 12 16:07:29 2019  begin with 29223266 relations and 28711603 unique ideals
  963. Thu Sep 12 16:07:52 2019  reduce to 28774125 relations and 24903033 ideals in 7 passes
  964. Thu Sep 12 16:07:52 2019  max relations containing the same ideal: 62
  965. Thu Sep 12 16:08:14 2019  removing 5375342 relations and 3375342 ideals in 2000000 cliques
  966. Thu Sep 12 16:08:16 2019  commencing in-memory singleton removal
  967. Thu Sep 12 16:08:19 2019  begin with 23398783 relations and 24903033 unique ideals
  968. Thu Sep 12 16:08:37 2019  reduce to 22791047 relations and 20885051 ideals in 7 passes
  969. Thu Sep 12 16:08:37 2019  max relations containing the same ideal: 55
  970. Thu Sep 12 16:08:55 2019  removing 2456637 relations and 1688932 ideals in 767705 cliques
  971. Thu Sep 12 16:08:56 2019  commencing in-memory singleton removal
  972. Thu Sep 12 16:08:58 2019  begin with 20334410 relations and 20885051 unique ideals
  973. Thu Sep 12 16:09:14 2019  reduce to 20086957 relations and 18940846 ideals in 7 passes
  974. Thu Sep 12 16:09:14 2019  max relations containing the same ideal: 51
  975. Thu Sep 12 16:09:34 2019  relations with 0 large ideals: 37000
  976. Thu Sep 12 16:09:34 2019  relations with 1 large ideals: 118274
  977. Thu Sep 12 16:09:34 2019  relations with 2 large ideals: 720965
  978. Thu Sep 12 16:09:34 2019  relations with 3 large ideals: 2578636
  979. Thu Sep 12 16:09:34 2019  relations with 4 large ideals: 4846457
  980. Thu Sep 12 16:09:34 2019  relations with 5 large ideals: 5371961
  981. Thu Sep 12 16:09:34 2019  relations with 6 large ideals: 3721138
  982. Thu Sep 12 16:09:34 2019  relations with 7+ large ideals: 2692526
  983. Thu Sep 12 16:09:34 2019  commencing 2-way merge
  984. Thu Sep 12 16:09:53 2019  reduce to 13630763 relation sets and 12484652 unique ideals
  985. Thu Sep 12 16:09:53 2019  commencing full merge
  986. Thu Sep 12 16:18:30 2019  memory use: 1468.7 MB
  987. Thu Sep 12 16:18:32 2019  found 5630141 cycles, need 5620852
  988. Thu Sep 12 16:18:36 2019  weight of 5620852 cycles is about 731584621 (130.16/cycle)
  989. Thu Sep 12 16:18:36 2019  distribution of cycle lengths:
  990. Thu Sep 12 16:18:36 2019  1 relations: 188924
  991. Thu Sep 12 16:18:36 2019  2 relations: 237807
  992. Thu Sep 12 16:18:36 2019  3 relations: 292214
  993. Thu Sep 12 16:18:36 2019  4 relations: 323965
  994. Thu Sep 12 16:18:36 2019  5 relations: 351474
  995. Thu Sep 12 16:18:36 2019  6 relations: 366036
  996. Thu Sep 12 16:18:36 2019  7 relations: 373248
  997. Thu Sep 12 16:18:36 2019  8 relations: 367696
  998. Thu Sep 12 16:18:36 2019  9 relations: 358281
  999. Thu Sep 12 16:18:36 2019  10+ relations: 2761207
  1000. Thu Sep 12 16:18:36 2019  heaviest cycle: 28 relations
  1001. Thu Sep 12 16:18:40 2019  commencing cycle optimization
  1002. Thu Sep 12 16:19:05 2019  start with 57831814 relations
  1003. Thu Sep 12 16:23:39 2019  pruned 3379514 relations
  1004. Thu Sep 12 16:23:40 2019  memory use: 1408.4 MB
  1005. Thu Sep 12 16:23:40 2019  distribution of cycle lengths:
  1006. Thu Sep 12 16:23:40 2019  1 relations: 188924
  1007. Thu Sep 12 16:23:40 2019  2 relations: 243822
  1008. Thu Sep 12 16:23:40 2019  3 relations: 304784
  1009. Thu Sep 12 16:23:40 2019  4 relations: 339850
  1010. Thu Sep 12 16:23:40 2019  5 relations: 372959
  1011. Thu Sep 12 16:23:40 2019  6 relations: 390167
  1012. Thu Sep 12 16:23:40 2019  7 relations: 400913
  1013. Thu Sep 12 16:23:40 2019  8 relations: 394629
  1014. Thu Sep 12 16:23:40 2019  9 relations: 385078
  1015. Thu Sep 12 16:23:40 2019  10+ relations: 2599726
  1016. Thu Sep 12 16:23:40 2019  heaviest cycle: 28 relations
  1017. Thu Sep 12 16:23:59 2019  RelProcTime: 9499
  1018. Thu Sep 12 16:23:59 2019  elapsed time 02:38:21
  1019. Thu Sep 12 16:23:59 2019  
  1020. Thu Sep 12 16:23:59 2019  
  1021. Thu Sep 12 16:23:59 2019  Msieve v. 1.54 (SVN 1030M)
  1022. Thu Sep 12 16:23:59 2019  random seeds: 9991df0c ca3b9417
  1023. Thu Sep 12 16:23:59 2019  factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits)
  1024. Thu Sep 12 16:24:00 2019  no P-1/P+1/ECM available, skipping
  1025. Thu Sep 12 16:24:00 2019  commencing number field sieve (172-digit input)
  1026. Thu Sep 12 16:24:00 2019  R0: -37779229886181038662693
  1027. Thu Sep 12 16:24:00 2019  R1: 167772160000000000000
  1028. Thu Sep 12 16:24:00 2019  A0: 16
  1029. Thu Sep 12 16:24:00 2019  A1: 320
  1030. Thu Sep 12 16:24:00 2019  A2: 1280
  1031. Thu Sep 12 16:24:00 2019  A3: 1400
  1032. Thu Sep 12 16:24:00 2019  A4: -1200
  1033. Thu Sep 12 16:24:00 2019  A5: -3000
  1034. Thu Sep 12 16:24:00 2019  A6: -750
  1035. Thu Sep 12 16:24:00 2019  A7: 1250
  1036. Thu Sep 12 16:24:01 2019  A8: 625
  1037. Thu Sep 12 16:24:01 2019  skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8
  1038. Thu Sep 12 16:24:01 2019  
  1039. Thu Sep 12 16:24:01 2019  commencing relation filtering
  1040. Thu Sep 12 16:24:01 2019  setting target matrix density to 132.0
  1041. Thu Sep 12 16:24:01 2019  estimated available RAM is 95375.2 MB
  1042. Thu Sep 12 16:24:01 2019  commencing duplicate removal, pass 1
  1043.   3 errors
  1044. Thu Sep 12 17:10:31 2019  skipped 56 relations with composite factors
  1045. Thu Sep 12 17:10:31 2019  found 8481989 hash collisions in 196743142 relations
  1046. Thu Sep 12 17:10:31 2019  commencing duplicate removal, pass 2
  1047. Thu Sep 12 17:12:06 2019  found 0 duplicates and 196743142 unique relations
  1048. Thu Sep 12 17:12:06 2019  memory use: 522.4 MB
  1049. Thu Sep 12 17:12:06 2019  reading ideals above 720000
  1050. Thu Sep 12 17:12:06 2019  commencing singleton removal, initial pass
  1051. Thu Sep 12 18:04:56 2019  memory use: 5512.0 MB
  1052. Thu Sep 12 18:04:57 2019  reading all ideals from disk
  1053. Thu Sep 12 18:05:03 2019  memory use: 7378.7 MB
  1054. Thu Sep 12 18:05:37 2019  keeping 167780339 ideals with weight <= 200, target excess is 981285
  1055. Thu Sep 12 18:06:21 2019  commencing in-memory singleton removal
  1056. Thu Sep 12 18:06:48 2019  begin with 196743142 relations and 167780339 unique ideals
  1057. Thu Sep 12 18:11:00 2019  reduce to 130348114 relations and 94610184 ideals in 12 passes
  1058. Thu Sep 12 18:11:00 2019  max relations containing the same ideal: 162
  1059. Thu Sep 12 18:12:40 2019  removing 9474063 relations and 7474063 ideals in 2000000 cliques
  1060. Thu Sep 12 18:12:44 2019  commencing in-memory singleton removal
  1061. Thu Sep 12 18:13:00 2019  begin with 120874051 relations and 94610184 unique ideals
  1062. Thu Sep 12 18:14:58 2019  reduce to 120361527 relations and 86613772 ideals in 7 passes
  1063. Thu Sep 12 18:14:58 2019  max relations containing the same ideal: 156
  1064. Thu Sep 12 18:16:29 2019  removing 7265409 relations and 5265409 ideals in 2000000 cliques
  1065. Thu Sep 12 18:16:33 2019  commencing in-memory singleton removal
  1066. Thu Sep 12 18:16:47 2019  begin with 113096118 relations and 86613772 unique ideals
  1067. Thu Sep 12 18:18:36 2019  reduce to 112751764 relations and 80998056 ideals in 7 passes
  1068. Thu Sep 12 18:18:36 2019  max relations containing the same ideal: 151
  1069. Thu Sep 12 18:20:01 2019  removing 6632178 relations and 4632178 ideals in 2000000 cliques
  1070. Thu Sep 12 18:20:05 2019  commencing in-memory singleton removal
  1071. Thu Sep 12 18:20:18 2019  begin with 106119586 relations and 80998056 unique ideals
  1072. Thu Sep 12 18:21:44 2019  reduce to 105823574 relations and 76064629 ideals in 6 passes
  1073. Thu Sep 12 18:21:44 2019  max relations containing the same ideal: 145
  1074. Thu Sep 12 18:23:04 2019  removing 6294760 relations and 4294760 ideals in 2000000 cliques
  1075. Thu Sep 12 18:23:08 2019  commencing in-memory singleton removal
  1076. Thu Sep 12 18:23:20 2019  begin with 99528814 relations and 76064629 unique ideals
  1077. Thu Sep 12 18:24:53 2019  reduce to 99258020 relations and 71494100 ideals in 7 passes
  1078. Thu Sep 12 18:24:53 2019  max relations containing the same ideal: 139
  1079. Thu Sep 12 18:26:08 2019  removing 6068861 relations and 4068861 ideals in 2000000 cliques
  1080. Thu Sep 12 18:26:11 2019  commencing in-memory singleton removal
  1081. Thu Sep 12 18:26:22 2019  begin with 93189159 relations and 71494100 unique ideals
  1082. Thu Sep 12 18:27:47 2019  reduce to 92932166 relations and 67163420 ideals in 7 passes
  1083. Thu Sep 12 18:27:47 2019  max relations containing the same ideal: 135
  1084. Thu Sep 12 18:28:57 2019  removing 5909611 relations and 3909611 ideals in 2000000 cliques
  1085. Thu Sep 12 18:29:00 2019  commencing in-memory singleton removal
  1086. Thu Sep 12 18:29:10 2019  begin with 87022555 relations and 67163420 unique ideals
  1087. Thu Sep 12 18:30:28 2019  reduce to 86772329 relations and 62998560 ideals in 7 passes
  1088. Thu Sep 12 18:30:28 2019  max relations containing the same ideal: 130
  1089. Thu Sep 12 18:31:32 2019  removing 5787545 relations and 3787545 ideals in 2000000 cliques
  1090. Thu Sep 12 18:31:36 2019  commencing in-memory singleton removal
  1091. Thu Sep 12 18:31:45 2019  begin with 80984784 relations and 62998560 unique ideals
  1092. Thu Sep 12 18:32:49 2019  reduce to 80737010 relations and 58958063 ideals in 6 passes
  1093. Thu Sep 12 18:32:49 2019  max relations containing the same ideal: 119
  1094. Thu Sep 12 18:33:49 2019  removing 5688314 relations and 3688314 ideals in 2000000 cliques
  1095. Thu Sep 12 18:33:53 2019  commencing in-memory singleton removal
  1096. Thu Sep 12 18:34:01 2019  begin with 75048696 relations and 58958063 unique ideals
  1097. Thu Sep 12 18:34:57 2019  reduce to 74800245 relations and 55015800 ideals in 6 passes
  1098. Thu Sep 12 18:34:57 2019  max relations containing the same ideal: 114
  1099. Thu Sep 12 18:35:53 2019  removing 5610506 relations and 3610506 ideals in 2000000 cliques
  1100. Thu Sep 12 18:35:56 2019  commencing in-memory singleton removal
  1101. Thu Sep 12 18:36:03 2019  begin with 69189739 relations and 55015800 unique ideals
  1102. Thu Sep 12 18:36:54 2019  reduce to 68938490 relations and 51148161 ideals in 6 passes
  1103. Thu Sep 12 18:36:54 2019  max relations containing the same ideal: 111
  1104. Thu Sep 12 18:37:46 2019  removing 5545618 relations and 3545618 ideals in 2000000 cliques
  1105. Thu Sep 12 18:37:49 2019  commencing in-memory singleton removal
  1106. Thu Sep 12 18:37:57 2019  begin with 63392872 relations and 51148161 unique ideals
  1107. Thu Sep 12 18:38:44 2019  reduce to 63134982 relations and 47338001 ideals in 6 passes
  1108. Thu Sep 12 18:38:44 2019  max relations containing the same ideal: 106
  1109. Thu Sep 12 18:39:32 2019  removing 5488027 relations and 3488027 ideals in 2000000 cliques
  1110. Thu Sep 12 18:39:34 2019  commencing in-memory singleton removal
  1111. Thu Sep 12 18:39:41 2019  begin with 57646955 relations and 47338001 unique ideals
  1112. Thu Sep 12 18:40:23 2019  reduce to 57381606 relations and 43577339 ideals in 6 passes
  1113. Thu Sep 12 18:40:23 2019  max relations containing the same ideal: 100
  1114. Thu Sep 12 18:41:06 2019  removing 5441440 relations and 3441440 ideals in 2000000 cliques
  1115. Thu Sep 12 18:41:08 2019  commencing in-memory singleton removal
  1116. Thu Sep 12 18:41:14 2019  begin with 51940166 relations and 43577339 unique ideals
  1117. Thu Sep 12 18:41:52 2019  reduce to 51661271 relations and 39848612 ideals in 6 passes
  1118. Thu Sep 12 18:41:52 2019  max relations containing the same ideal: 94
  1119. Thu Sep 12 18:42:31 2019  removing 5398851 relations and 3398851 ideals in 2000000 cliques
  1120. Thu Sep 12 18:42:34 2019  commencing in-memory singleton removal
  1121. Thu Sep 12 18:42:39 2019  begin with 46262420 relations and 39848612 unique ideals
  1122. Thu Sep 12 18:43:12 2019  reduce to 45965253 relations and 36142798 ideals in 6 passes
  1123. Thu Sep 12 18:43:12 2019  max relations containing the same ideal: 84
  1124. Thu Sep 12 18:43:47 2019  removing 5366171 relations and 3366171 ideals in 2000000 cliques
  1125. Thu Sep 12 18:43:50 2019  commencing in-memory singleton removal
  1126. Thu Sep 12 18:43:54 2019  begin with 40599082 relations and 36142798 unique ideals
  1127. Thu Sep 12 18:44:23 2019  reduce to 40274388 relations and 32439964 ideals in 6 passes
  1128. Thu Sep 12 18:44:23 2019  max relations containing the same ideal: 77
  1129. Thu Sep 12 18:44:54 2019  removing 5342558 relations and 3342558 ideals in 2000000 cliques
  1130. Thu Sep 12 18:44:56 2019  commencing in-memory singleton removal
  1131. Thu Sep 12 18:45:00 2019  begin with 34931830 relations and 32439964 unique ideals
  1132. Thu Sep 12 18:45:28 2019  reduce to 34561158 relations and 28711603 ideals in 7 passes
  1133. Thu Sep 12 18:45:28 2019  max relations containing the same ideal: 71
  1134. Thu Sep 12 18:45:54 2019  removing 5337892 relations and 3337892 ideals in 2000000 cliques
  1135. Thu Sep 12 18:45:56 2019  commencing in-memory singleton removal
  1136. Thu Sep 12 18:45:59 2019  begin with 29223266 relations and 28711603 unique ideals
  1137. Thu Sep 12 18:46:22 2019  reduce to 28774125 relations and 24903033 ideals in 7 passes
  1138. Thu Sep 12 18:46:22 2019  max relations containing the same ideal: 62
  1139. Thu Sep 12 18:46:44 2019  removing 5375342 relations and 3375342 ideals in 2000000 cliques
  1140. Thu Sep 12 18:46:47 2019  commencing in-memory singleton removal
  1141. Thu Sep 12 18:46:49 2019  begin with 23398783 relations and 24903033 unique ideals
  1142. Thu Sep 12 18:47:07 2019  reduce to 22791047 relations and 20885051 ideals in 7 passes
  1143. Thu Sep 12 18:47:07 2019  max relations containing the same ideal: 55
  1144. Thu Sep 12 18:47:24 2019  removing 2456637 relations and 1688932 ideals in 767705 cliques
  1145. Thu Sep 12 18:47:26 2019  commencing in-memory singleton removal
  1146. Thu Sep 12 18:47:28 2019  begin with 20334410 relations and 20885051 unique ideals
  1147. Thu Sep 12 18:47:44 2019  reduce to 20086957 relations and 18940846 ideals in 7 passes
  1148. Thu Sep 12 18:47:44 2019  max relations containing the same ideal: 51
  1149. Thu Sep 12 18:48:04 2019  relations with 0 large ideals: 37000
  1150. Thu Sep 12 18:48:04 2019  relations with 1 large ideals: 118274
  1151. Thu Sep 12 18:48:04 2019  relations with 2 large ideals: 720965
  1152. Thu Sep 12 18:48:04 2019  relations with 3 large ideals: 2578636
  1153. Thu Sep 12 18:48:04 2019  relations with 4 large ideals: 4846457
  1154. Thu Sep 12 18:48:04 2019  relations with 5 large ideals: 5371961
  1155. Thu Sep 12 18:48:04 2019  relations with 6 large ideals: 3721138
  1156. Thu Sep 12 18:48:04 2019  relations with 7+ large ideals: 2692526
  1157. Thu Sep 12 18:48:04 2019  commencing 2-way merge
  1158. Thu Sep 12 18:48:23 2019  reduce to 13630763 relation sets and 12484652 unique ideals
  1159. Thu Sep 12 18:48:23 2019  commencing full merge
  1160. Thu Sep 12 19:02:13 2019  memory use: 594.4 MB
  1161. Thu Sep 12 19:02:13 2019  found 152141 cycles, need 3281985
  1162. Thu Sep 12 19:02:13 2019  too few cycles, matrix probably cannot build
  1163. Thu Sep 12 19:02:13 2019  filtering wants 1000000 more relations
  1164. Thu Sep 12 19:02:13 2019  elapsed time 02:38:14
  1165. Fri Sep 13 00:40:48 2019  
  1166. Fri Sep 13 00:40:48 2019  
  1167. Fri Sep 13 00:40:48 2019  Msieve v. 1.54 (SVN 1030M)
  1168. Fri Sep 13 00:40:48 2019  random seeds: 49daf139 26364be0
  1169. Fri Sep 13 00:40:48 2019  factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits)
  1170. Fri Sep 13 00:40:49 2019  no P-1/P+1/ECM available, skipping
  1171. Fri Sep 13 00:40:49 2019  commencing number field sieve (172-digit input)
  1172. Fri Sep 13 00:40:49 2019  R0: -37779229886181038662693
  1173. Fri Sep 13 00:40:49 2019  R1: 167772160000000000000
  1174. Fri Sep 13 00:40:49 2019  A0: 16
  1175. Fri Sep 13 00:40:49 2019  A1: 320
  1176. Fri Sep 13 00:40:49 2019  A2: 1280
  1177. Fri Sep 13 00:40:49 2019  A3: 1400
  1178. Fri Sep 13 00:40:49 2019  A4: -1200
  1179. Fri Sep 13 00:40:49 2019  A5: -3000
  1180. Fri Sep 13 00:40:49 2019  A6: -750
  1181. Fri Sep 13 00:40:49 2019  A7: 1250
  1182. Fri Sep 13 00:40:49 2019  A8: 625
  1183. Fri Sep 13 00:40:49 2019  skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8
  1184. Fri Sep 13 00:40:49 2019  
  1185. Fri Sep 13 00:40:49 2019  commencing linear algebra
  1186. Fri Sep 13 00:40:50 2019  read 5620852 cycles
  1187. Fri Sep 13 00:41:04 2019  cycles contain 19510132 unique relations
  1188. Fri Sep 13 00:42:49 2019  read 19510132 relations
  1189. Fri Sep 13 00:43:30 2019  using 20 quadratic characters above 4294917295
  1190. Fri Sep 13 00:45:13 2019  building initial matrix
  1191. Fri Sep 13 00:49:38 2019  memory use: 2451.5 MB
  1192. Fri Sep 13 00:49:41 2019  read 5620852 cycles
  1193. Fri Sep 13 00:49:42 2019  matrix is 5620675 x 5620852 (2785.9 MB) with weight 786561337 (139.94/col)
  1194. Fri Sep 13 00:49:42 2019  sparse part has weight 668485986 (118.93/col)
  1195. Fri Sep 13 00:50:56 2019  filtering completed in 2 passes
  1196. Fri Sep 13 00:50:57 2019  matrix is 5620581 x 5620750 (2785.9 MB) with weight 786557850 (139.94/col)
  1197. Fri Sep 13 00:50:57 2019  sparse part has weight 668484587 (118.93/col)
  1198. Fri Sep 13 00:51:11 2019  matrix starts at (0, 0)
  1199. Fri Sep 13 00:51:12 2019  matrix is 5620581 x 5620750 (2785.9 MB) with weight 786557850 (139.94/col)
  1200. Fri Sep 13 00:51:12 2019  sparse part has weight 668484587 (118.93/col)
  1201. Fri Sep 13 00:51:12 2019  saving the first 240 matrix rows for later
  1202. Fri Sep 13 00:51:13 2019  matrix includes 256 packed rows
  1203. Fri Sep 13 00:51:15 2019  matrix is 5620341 x 5620750 (2541.4 MB) with weight 608642289 (108.28/col)
  1204. Fri Sep 13 00:51:15 2019  sparse part has weight 576292014 (102.53/col)
  1205. Fri Sep 13 00:51:15 2019  using block size 8192 and superblock size 337920 for processor cache size 14080 kB
  1206. Fri Sep 13 00:51:30 2019  commencing Lanczos iteration (20 threads)
  1207. Fri Sep 13 00:51:30 2019  memory use: 3422.9 MB
  1208. Fri Sep 13 00:51:36 2019  linear algebra at 0.0%, ETA 5h 6m
  1209. Fri Sep 13 00:51:37 2019  checkpointing every 1230000 dimensions
  1210. Fri Sep 13 04:39:24 2019  lanczos halted after 22022 iterations (dim = 5620341)
  1211. Fri Sep 13 04:39:44 2019  recovered 36 nontrivial dependencies
  1212. Fri Sep 13 04:39:45 2019  BLanczosTime: 14336
  1213. Fri Sep 13 04:39:45 2019  elapsed time 03:58:57
  1214. Fri Sep 13 04:39:45 2019  
  1215. Fri Sep 13 04:39:45 2019  
  1216. Fri Sep 13 04:39:45 2019  Msieve v. 1.54 (SVN 1030M)
  1217. Fri Sep 13 04:39:45 2019  random seeds: 743c19e6 313b0588
  1218. Fri Sep 13 04:39:45 2019  factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits)
  1219. Fri Sep 13 04:39:46 2019  no P-1/P+1/ECM available, skipping
  1220. Fri Sep 13 04:39:46 2019  commencing number field sieve (172-digit input)
  1221. Fri Sep 13 04:39:46 2019  R0: -37779229886181038662693
  1222. Fri Sep 13 04:39:46 2019  R1: 167772160000000000000
  1223. Fri Sep 13 04:39:46 2019  A0: 16
  1224. Fri Sep 13 04:39:46 2019  A1: 320
  1225. Fri Sep 13 04:39:46 2019  A2: 1280
  1226. Fri Sep 13 04:39:46 2019  A3: 1400
  1227. Fri Sep 13 04:39:46 2019  A4: -1200
  1228. Fri Sep 13 04:39:46 2019  A5: -3000
  1229. Fri Sep 13 04:39:46 2019  A6: -750
  1230. Fri Sep 13 04:39:46 2019  A7: 1250
  1231. Fri Sep 13 04:39:46 2019  A8: 625
  1232. Fri Sep 13 04:39:46 2019  skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8
  1233. Fri Sep 13 04:39:46 2019  
  1234. Fri Sep 13 04:39:46 2019  commencing square root phase
  1235. Fri Sep 13 04:39:46 2019  reading relations for dependency 1
  1236. Fri Sep 13 04:39:46 2019  read 2809846 cycles
  1237. Fri Sep 13 04:39:53 2019  cycles contain 9755438 unique relations
  1238. Fri Sep 13 04:40:49 2019  read 9755438 relations
  1239. Fri Sep 13 04:41:35 2019  multiplying 9755438 relations
  1240. Fri Sep 13 04:55:42 2019  multiply complete, coefficients have about 326.68 million bits
  1241. Fri Sep 13 04:55:45 2019  warning: no irreducible prime found, switching to small primes
  1242. Fri Sep 13 04:57:43 2019  initial square root is modulo 13
  1243. Fri Sep 13 05:19:43 2019  Newton iteration failed to converge
  1244. Fri Sep 13 05:19:43 2019  algebraic square root failed
  1245. Fri Sep 13 05:19:43 2019  reading relations for dependency 2
  1246. Fri Sep 13 05:19:44 2019  read 2810919 cycles
  1247. Fri Sep 13 05:19:50 2019  cycles contain 9755268 unique relations
  1248. Fri Sep 13 05:20:47 2019  read 9755268 relations
  1249. Fri Sep 13 05:21:31 2019  multiplying 9755268 relations
  1250. Fri Sep 13 05:35:40 2019  multiply complete, coefficients have about 326.67 million bits
  1251. Fri Sep 13 05:35:43 2019  warning: no irreducible prime found, switching to small primes
  1252. Fri Sep 13 05:39:46 2019  initial square root is modulo 13
  1253. Fri Sep 13 06:01:39 2019  Newton iteration failed to converge
  1254. Fri Sep 13 06:01:39 2019  algebraic square root failed
  1255. Fri Sep 13 06:01:39 2019  reading relations for dependency 3
  1256. Fri Sep 13 06:01:39 2019  read 2809192 cycles
  1257. Fri Sep 13 06:01:45 2019  cycles contain 9754764 unique relations
  1258. Fri Sep 13 06:02:43 2019  read 9754764 relations
  1259. Fri Sep 13 06:03:26 2019  multiplying 9754764 relations
  1260. Fri Sep 13 06:17:35 2019  multiply complete, coefficients have about 326.66 million bits
  1261. Fri Sep 13 06:17:37 2019  warning: no irreducible prime found, switching to small primes
  1262. Fri Sep 13 06:18:47 2019  initial square root is modulo 13
  1263. Fri Sep 13 06:40:42 2019  Newton iteration failed to converge
  1264. Fri Sep 13 06:40:42 2019  algebraic square root failed
  1265. Fri Sep 13 06:40:42 2019  reading relations for dependency 4
  1266. Fri Sep 13 06:40:42 2019  read 2808486 cycles
  1267. Fri Sep 13 06:40:49 2019  cycles contain 9749588 unique relations
  1268. Fri Sep 13 06:41:47 2019  read 9749588 relations
  1269. Fri Sep 13 06:42:31 2019  multiplying 9749588 relations
  1270. Fri Sep 13 06:56:31 2019  multiply complete, coefficients have about 326.49 million bits
  1271. Fri Sep 13 06:56:33 2019  warning: no irreducible prime found, switching to small primes
  1272. Fri Sep 13 06:56:57 2019  initial square root is modulo 13
  1273. Fri Sep 13 07:18:51 2019  Newton iteration failed to converge
  1274. Fri Sep 13 07:18:51 2019  algebraic square root failed
  1275. Fri Sep 13 07:18:51 2019  reading relations for dependency 5
  1276. Fri Sep 13 07:18:52 2019  read 2811657 cycles
  1277. Fri Sep 13 07:18:58 2019  cycles contain 9755716 unique relations
  1278. Fri Sep 13 07:19:55 2019  read 9755716 relations
  1279. Fri Sep 13 07:20:39 2019  multiplying 9755716 relations
  1280. Fri Sep 13 07:34:47 2019  multiply complete, coefficients have about 326.70 million bits
  1281. Fri Sep 13 07:34:49 2019  warning: no irreducible prime found, switching to small primes
  1282. Fri Sep 13 07:35:57 2019  initial square root is modulo 13
  1283. Fri Sep 13 07:57:50 2019  sqrtTime: 11884
  1284. Fri Sep 13 07:57:50 2019  p77 factor: 12607086750483506185559906968578288437541588574675495466707061756847917602501
  1285. Fri Sep 13 07:57:50 2019  p96 factor: 151500186253195617217377090288855111882418160274342415062784737049419262483986046503764269293001
  1286. Fri Sep 13 07:57:50 2019  elapsed time 03:18:05
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