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Sep 14th, 2016
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  1. Sun Sep 11 00:33:24 2016
  2. Sun Sep 11 00:33:24 2016
  3. Sun Sep 11 00:33:24 2016 Msieve v. 1.53 (SVN 988M)
  4. Sun Sep 11 00:33:24 2016 random seeds: 61a67e61 6dd04d5a
  5. Sun Sep 11 00:33:24 2016 factoring 172608308621615932098444362807110774741442817031059033673747955378404494282189906898766973487796310603236182509032480288652360018062299241362614704138645329033198996679705805266427185718641362908680256451474869939752755522525612018717 (234 digits)
  6. Sun Sep 11 00:33:25 2016 searching for 15-digit factors
  7. Sun Sep 11 00:33:27 2016 commencing number field sieve (234-digit input)
  8. Sun Sep 11 00:33:27 2016 R0: 41144777789250865278081232758997200423491
  9. Sun Sep 11 00:33:27 2016 R1: -4052555153018976267
  10. Sun Sep 11 00:33:27 2016 A0: -11
  11. Sun Sep 11 00:33:27 2016 A1: 0
  12. Sun Sep 11 00:33:27 2016 A2: 0
  13. Sun Sep 11 00:33:27 2016 A3: 0
  14. Sun Sep 11 00:33:27 2016 A4: 0
  15. Sun Sep 11 00:33:27 2016 A5: 0
  16. Sun Sep 11 00:33:27 2016 A6: 3
  17. Sun Sep 11 00:33:27 2016 skew 1.24, size 4.209e-12, alpha 1.701, combined = 3.385e-13 rroots = 2
  18. Sun Sep 11 00:33:27 2016
  19. Sun Sep 11 00:33:27 2016 commencing relation filtering
  20. Sun Sep 11 00:33:27 2016 setting target matrix density to 130.0
  21. Sun Sep 11 00:33:27 2016 estimated available RAM is 16384.0 MB
  22. Sun Sep 11 00:33:27 2016 commencing duplicate removal, pass 1
  23. Sun Sep 11 00:51:25 2016 error -15 reading relation 153946578
  24. Sun Sep 11 00:51:25 2016 error -15 reading relation 153982048
  25. Sun Sep 11 00:51:27 2016 error -9 reading relation 154209946
  26. Sun Sep 11 00:51:27 2016 error -1 reading relation 154321487
  27. Sun Sep 11 00:52:29 2016 error -1 reading relation 163206452
  28. Sun Sep 11 00:52:38 2016 error -9 reading relation 164555335
  29. Sun Sep 11 00:52:41 2016 error -9 reading relation 164936560
  30. Sun Sep 11 00:52:47 2016 error -1 reading relation 165820493
  31. Sun Sep 11 00:56:52 2016 error -9 reading relation 200629757
  32. Sun Sep 11 00:57:33 2016 error -9 reading relation 206486305
  33. Sun Sep 11 01:00:44 2016 error -9 reading relation 233466564
  34. Sun Sep 11 01:00:56 2016 error -9 reading relation 235349887
  35. Sun Sep 11 01:01:03 2016 error -15 reading relation 236315569
  36. Sun Sep 11 01:01:04 2016 error -1 reading relation 236401850
  37. Sun Sep 11 01:01:06 2016 error -15 reading relation 236651198
  38. Sun Sep 11 01:01:26 2016 error -5 reading relation 239525300
  39. Sun Sep 11 01:01:36 2016 error -9 reading relation 240982722
  40. Sun Sep 11 01:01:39 2016 error -9 reading relation 241466307
  41. Sun Sep 11 01:01:44 2016 error -9 reading relation 242218989
  42. Sun Sep 11 01:02:24 2016 error -5 reading relation 247791831
  43. Sun Sep 11 01:02:29 2016 skipped 45 relations with b > 2^32
  44. Sun Sep 11 01:02:29 2016 skipped 15 relations with composite factors
  45. Sun Sep 11 01:02:29 2016 found 51431561 hash collisions in 248631102 relations
  46. Sun Sep 11 01:02:42 2016 added 1219565 free relations
  47. Sun Sep 11 01:02:42 2016 commencing duplicate removal, pass 2
  48. Sun Sep 11 01:06:17 2016 found 51656948 duplicates and 198193719 unique relations
  49. Sun Sep 11 01:06:17 2016 memory use: 1321.5 MB
  50. Sun Sep 11 01:06:17 2016 reading ideals above 169934848
  51. Sun Sep 11 01:06:17 2016 commencing singleton removal, initial pass
  52. Sun Sep 11 01:23:57 2016 memory use: 3012.0 MB
  53. Sun Sep 11 01:23:57 2016 reading all ideals from disk
  54. Sun Sep 11 01:24:05 2016 memory use: 3264.4 MB
  55. Sun Sep 11 01:24:12 2016 commencing in-memory singleton removal
  56. Sun Sep 11 01:24:18 2016 begin with 198193719 relations and 157783576 unique ideals
  57. Sun Sep 11 01:25:39 2016 reduce to 132022451 relations and 85135582 ideals in 15 passes
  58. Sun Sep 11 01:25:39 2016 max relations containing the same ideal: 48
  59. Sun Sep 11 01:25:48 2016 reading ideals above 720000
  60. Sun Sep 11 01:25:48 2016 commencing singleton removal, initial pass
  61. Sun Sep 11 01:41:34 2016 memory use: 2756.0 MB
  62. Sun Sep 11 01:41:34 2016 reading all ideals from disk
  63. Sun Sep 11 01:41:47 2016 memory use: 5174.6 MB
  64. Sun Sep 11 01:41:59 2016 keeping 103462163 ideals with weight <= 200, target excess is 674491
  65. Sun Sep 11 01:42:09 2016 commencing in-memory singleton removal
  66. Sun Sep 11 01:42:20 2016 begin with 132022451 relations and 103462163 unique ideals
  67. Sun Sep 11 01:43:30 2016 reduce to 132014059 relations and 103453771 ideals in 8 passes
  68. Sun Sep 11 01:43:30 2016 max relations containing the same ideal: 200
  69. Sun Sep 11 01:44:16 2016 removing 10476508 relations and 8476508 ideals in 2000000 cliques
  70. Sun Sep 11 01:44:19 2016 commencing in-memory singleton removal
  71. Sun Sep 11 01:44:29 2016 begin with 121537551 relations and 103453771 unique ideals
  72. Sun Sep 11 01:45:42 2016 reduce to 120933294 relations and 94361367 ideals in 9 passes
  73. Sun Sep 11 01:45:42 2016 max relations containing the same ideal: 198
  74. Sun Sep 11 01:46:23 2016 removing 7968110 relations and 5968110 ideals in 2000000 cliques
  75. Sun Sep 11 01:46:26 2016 commencing in-memory singleton removal
  76. Sun Sep 11 01:46:35 2016 begin with 112965184 relations and 94361367 unique ideals
  77. Sun Sep 11 01:47:34 2016 reduce to 112560067 relations and 87981582 ideals in 8 passes
  78. Sun Sep 11 01:47:34 2016 max relations containing the same ideal: 189
  79. Sun Sep 11 01:48:13 2016 removing 7230921 relations and 5230921 ideals in 2000000 cliques
  80. Sun Sep 11 01:48:15 2016 commencing in-memory singleton removal
  81. Sun Sep 11 01:48:23 2016 begin with 105329146 relations and 87981582 unique ideals
  82. Sun Sep 11 01:49:11 2016 reduce to 104976001 relations and 82391603 ideals in 7 passes
  83. Sun Sep 11 01:49:11 2016 max relations containing the same ideal: 180
  84. Sun Sep 11 01:49:48 2016 removing 6849113 relations and 4849113 ideals in 2000000 cliques
  85. Sun Sep 11 01:49:50 2016 commencing in-memory singleton removal
  86. Sun Sep 11 01:49:57 2016 begin with 98126888 relations and 82391603 unique ideals
  87. Sun Sep 11 01:50:42 2016 reduce to 97795552 relations and 77205428 ideals in 7 passes
  88. Sun Sep 11 01:50:42 2016 max relations containing the same ideal: 174
  89. Sun Sep 11 01:51:16 2016 removing 6608574 relations and 4608574 ideals in 2000000 cliques
  90. Sun Sep 11 01:51:18 2016 commencing in-memory singleton removal
  91. Sun Sep 11 01:51:25 2016 begin with 91186978 relations and 77205428 unique ideals
  92. Sun Sep 11 01:52:05 2016 reduce to 90867375 relations and 72271352 ideals in 7 passes
  93. Sun Sep 11 01:52:05 2016 max relations containing the same ideal: 167
  94. Sun Sep 11 01:52:37 2016 removing 6441461 relations and 4441461 ideals in 2000000 cliques
  95. Sun Sep 11 01:52:39 2016 commencing in-memory singleton removal
  96. Sun Sep 11 01:52:45 2016 begin with 84425914 relations and 72271352 unique ideals
  97. Sun Sep 11 01:53:22 2016 reduce to 84109263 relations and 67507049 ideals in 7 passes
  98. Sun Sep 11 01:53:22 2016 max relations containing the same ideal: 159
  99. Sun Sep 11 01:53:51 2016 removing 6320330 relations and 4320330 ideals in 2000000 cliques
  100. Sun Sep 11 01:53:53 2016 commencing in-memory singleton removal
  101. Sun Sep 11 01:53:59 2016 begin with 77788933 relations and 67507049 unique ideals
  102. Sun Sep 11 01:54:32 2016 reduce to 77470349 relations and 62861504 ideals in 7 passes
  103. Sun Sep 11 01:54:32 2016 max relations containing the same ideal: 150
  104. Sun Sep 11 01:54:59 2016 removing 6232316 relations and 4232316 ideals in 2000000 cliques
  105. Sun Sep 11 01:55:01 2016 commencing in-memory singleton removal
  106. Sun Sep 11 01:55:06 2016 begin with 71238033 relations and 62861504 unique ideals
  107. Sun Sep 11 01:55:36 2016 reduce to 70909972 relations and 58293814 ideals in 7 passes
  108. Sun Sep 11 01:55:36 2016 max relations containing the same ideal: 140
  109. Sun Sep 11 01:56:01 2016 removing 6159300 relations and 4159300 ideals in 2000000 cliques
  110. Sun Sep 11 01:56:03 2016 commencing in-memory singleton removal
  111. Sun Sep 11 01:56:07 2016 begin with 64750672 relations and 58293814 unique ideals
  112. Sun Sep 11 01:56:30 2016 reduce to 64410052 relations and 53785641 ideals in 6 passes
  113. Sun Sep 11 01:56:30 2016 max relations containing the same ideal: 131
  114. Sun Sep 11 01:56:52 2016 removing 6106875 relations and 4106875 ideals in 2000000 cliques
  115. Sun Sep 11 01:56:54 2016 commencing in-memory singleton removal
  116. Sun Sep 11 01:56:58 2016 begin with 58303177 relations and 53785641 unique ideals
  117. Sun Sep 11 01:57:18 2016 reduce to 57941801 relations and 49307935 ideals in 6 passes
  118. Sun Sep 11 01:57:18 2016 max relations containing the same ideal: 124
  119. Sun Sep 11 01:57:38 2016 removing 6063530 relations and 4063530 ideals in 2000000 cliques
  120. Sun Sep 11 01:57:40 2016 commencing in-memory singleton removal
  121. Sun Sep 11 01:57:43 2016 begin with 51878271 relations and 49307935 unique ideals
  122. Sun Sep 11 01:58:04 2016 reduce to 51488372 relations and 44843055 ideals in 7 passes
  123. Sun Sep 11 01:58:04 2016 max relations containing the same ideal: 111
  124. Sun Sep 11 01:58:21 2016 removing 6037581 relations and 4037581 ideals in 2000000 cliques
  125. Sun Sep 11 01:58:23 2016 commencing in-memory singleton removal
  126. Sun Sep 11 01:58:26 2016 begin with 45450791 relations and 44843055 unique ideals
  127. Sun Sep 11 01:58:43 2016 reduce to 45018274 relations and 40358991 ideals in 7 passes
  128. Sun Sep 11 01:58:43 2016 max relations containing the same ideal: 102
  129. Sun Sep 11 01:58:58 2016 removing 6030421 relations and 4030421 ideals in 2000000 cliques
  130. Sun Sep 11 01:59:00 2016 commencing in-memory singleton removal
  131. Sun Sep 11 01:59:02 2016 begin with 38987853 relations and 40358991 unique ideals
  132. Sun Sep 11 01:59:19 2016 reduce to 38486540 relations and 35808784 ideals in 8 passes
  133. Sun Sep 11 01:59:19 2016 max relations containing the same ideal: 92
  134. Sun Sep 11 01:59:31 2016 removing 5792899 relations and 3897553 ideals in 1895346 cliques
  135. Sun Sep 11 01:59:33 2016 commencing in-memory singleton removal
  136. Sun Sep 11 01:59:35 2016 begin with 32693641 relations and 35808784 unique ideals
  137. Sun Sep 11 01:59:46 2016 reduce to 32121858 relations and 31315600 ideals in 7 passes
  138. Sun Sep 11 01:59:46 2016 max relations containing the same ideal: 83
  139. Sun Sep 11 01:59:56 2016 removing 150994 relations and 127146 ideals in 23848 cliques
  140. Sun Sep 11 01:59:57 2016 commencing in-memory singleton removal
  141. Sun Sep 11 01:59:59 2016 begin with 31970864 relations and 31315600 unique ideals
  142. Sun Sep 11 02:00:05 2016 reduce to 31970383 relations and 31187973 ideals in 4 passes
  143. Sun Sep 11 02:00:05 2016 max relations containing the same ideal: 81
  144. Sun Sep 11 02:00:10 2016 relations with 0 large ideals: 25795
  145. Sun Sep 11 02:00:10 2016 relations with 1 large ideals: 10895
  146. Sun Sep 11 02:00:10 2016 relations with 2 large ideals: 145558
  147. Sun Sep 11 02:00:10 2016 relations with 3 large ideals: 934236
  148. Sun Sep 11 02:00:10 2016 relations with 4 large ideals: 3238667
  149. Sun Sep 11 02:00:10 2016 relations with 5 large ideals: 6665998
  150. Sun Sep 11 02:00:10 2016 relations with 6 large ideals: 8556529
  151. Sun Sep 11 02:00:10 2016 relations with 7+ large ideals: 12392705
  152. Sun Sep 11 02:00:10 2016 commencing 2-way merge
  153. Sun Sep 11 02:00:25 2016 reduce to 21617055 relation sets and 20834645 unique ideals
  154. Sun Sep 11 02:00:25 2016 commencing full merge
  155. Sun Sep 11 02:14:45 2016 memory use: 966.4 MB
  156. Sun Sep 11 02:14:45 2016 found 51981 cycles, need 4647691
  157. Sun Sep 11 02:14:45 2016 too few cycles, matrix probably cannot build
  158. Sun Sep 11 21:54:41 2016
  159. Sun Sep 11 21:54:41 2016
  160. Sun Sep 11 21:54:41 2016 Msieve v. 1.53 (SVN 988M)
  161. Sun Sep 11 21:54:41 2016 random seeds: 06235f4d 31d8835c
  162. Sun Sep 11 21:54:41 2016 factoring 172608308621615932098444362807110774741442817031059033673747955378404494282189906898766973487796310603236182509032480288652360018062299241362614704138645329033198996679705805266427185718641362908680256451474869939752755522525612018717 (234 digits)
  163. Sun Sep 11 21:54:42 2016 searching for 15-digit factors
  164. Sun Sep 11 21:54:44 2016 commencing number field sieve (234-digit input)
  165. Sun Sep 11 21:54:44 2016 R0: 41144777789250865278081232758997200423491
  166. Sun Sep 11 21:54:44 2016 R1: -4052555153018976267
  167. Sun Sep 11 21:54:44 2016 A0: -11
  168. Sun Sep 11 21:54:44 2016 A1: 0
  169. Sun Sep 11 21:54:44 2016 A2: 0
  170. Sun Sep 11 21:54:44 2016 A3: 0
  171. Sun Sep 11 21:54:44 2016 A4: 0
  172. Sun Sep 11 21:54:44 2016 A5: 0
  173. Sun Sep 11 21:54:44 2016 A6: 3
  174. Sun Sep 11 21:54:44 2016 skew 1.24, size 4.209e-12, alpha 1.701, combined = 3.385e-13 rroots = 2
  175. Sun Sep 11 21:54:44 2016
  176. Sun Sep 11 21:54:44 2016 commencing relation filtering
  177. Sun Sep 11 21:54:44 2016 setting target matrix density to 130.0
  178. Sun Sep 11 21:54:44 2016 estimated available RAM is 16384.0 MB
  179. Sun Sep 11 21:54:44 2016 commencing duplicate removal, pass 1
  180. Sun Sep 11 22:16:59 2016 error -15 reading relation 153946578
  181. Sun Sep 11 22:16:59 2016 error -15 reading relation 153982048
  182. Sun Sep 11 22:17:01 2016 error -9 reading relation 154209946
  183. Sun Sep 11 22:17:02 2016 error -1 reading relation 154321487
  184. Sun Sep 11 22:18:18 2016 error -1 reading relation 163206452
  185. Sun Sep 11 22:18:30 2016 error -9 reading relation 164555335
  186. Sun Sep 11 22:18:33 2016 error -9 reading relation 164936560
  187. Sun Sep 11 22:18:41 2016 error -1 reading relation 165820493
  188. Sun Sep 11 22:23:45 2016 error -9 reading relation 200629757
  189. Sun Sep 11 22:24:36 2016 error -9 reading relation 206486305
  190. Sun Sep 11 22:28:33 2016 error -9 reading relation 233466564
  191. Sun Sep 11 22:28:49 2016 error -9 reading relation 235349887
  192. Sun Sep 11 22:28:57 2016 error -15 reading relation 236315569
  193. Sun Sep 11 22:28:58 2016 error -1 reading relation 236401850
  194. Sun Sep 11 22:29:00 2016 error -15 reading relation 236651198
  195. Sun Sep 11 22:29:25 2016 error -5 reading relation 239525300
  196. Sun Sep 11 22:29:38 2016 error -9 reading relation 240982722
  197. Sun Sep 11 22:29:42 2016 error -9 reading relation 241466307
  198. Sun Sep 11 22:29:48 2016 error -9 reading relation 242218989
  199. Sun Sep 11 22:30:37 2016 error -5 reading relation 247791831
  200. Sun Sep 11 22:32:23 2016 skipped 46 relations with b > 2^32
  201. Sun Sep 11 22:32:23 2016 skipped 15 relations with composite factors
  202. Sun Sep 11 22:32:23 2016 found 54758190 hash collisions in 259873184 relations
  203. Sun Sep 11 22:32:39 2016 added 1219565 free relations
  204. Sun Sep 11 22:32:39 2016 commencing duplicate removal, pass 2
  205. Sun Sep 11 22:37:10 2016 found 55145127 duplicates and 205947622 unique relations
  206. Sun Sep 11 22:37:10 2016 memory use: 1321.5 MB
  207. Sun Sep 11 22:37:10 2016 reading ideals above 179896320
  208. Sun Sep 11 22:37:10 2016 commencing singleton removal, initial pass
  209. Sun Sep 11 23:00:15 2016 memory use: 3012.0 MB
  210. Sun Sep 11 23:00:15 2016 reading all ideals from disk
  211. Sun Sep 11 23:00:24 2016 memory use: 3358.3 MB
  212. Sun Sep 11 23:00:32 2016 commencing in-memory singleton removal
  213. Sun Sep 11 23:00:39 2016 begin with 205947622 relations and 158696192 unique ideals
  214. Sun Sep 11 23:02:04 2016 reduce to 142431952 relations and 89378636 ideals in 12 passes
  215. Sun Sep 11 23:02:04 2016 max relations containing the same ideal: 49
  216. Sun Sep 11 23:02:16 2016 reading ideals above 720000
  217. Sun Sep 11 23:02:16 2016 commencing singleton removal, initial pass
  218. Sun Sep 11 23:23:35 2016 memory use: 3012.0 MB
  219. Sun Sep 11 23:23:36 2016 reading all ideals from disk
  220. Sun Sep 11 23:23:50 2016 memory use: 5587.2 MB
  221. Sun Sep 11 23:24:04 2016 keeping 108699688 ideals with weight <= 200, target excess is 729804
  222. Sun Sep 11 23:24:18 2016 commencing in-memory singleton removal
  223. Sun Sep 11 23:24:30 2016 begin with 142431952 relations and 108699688 unique ideals
  224. Sun Sep 11 23:25:41 2016 reduce to 142422974 relations and 108690710 ideals in 6 passes
  225. Sun Sep 11 23:25:41 2016 max relations containing the same ideal: 200
  226. Sun Sep 11 23:26:37 2016 removing 10065751 relations and 8065751 ideals in 2000000 cliques
  227. Sun Sep 11 23:26:41 2016 commencing in-memory singleton removal
  228. Sun Sep 11 23:26:53 2016 begin with 132357223 relations and 108690710 unique ideals
  229. Sun Sep 11 23:28:21 2016 reduce to 131834963 relations and 100093316 ideals in 8 passes
  230. Sun Sep 11 23:28:21 2016 max relations containing the same ideal: 198
  231. Sun Sep 11 23:29:13 2016 removing 7679649 relations and 5679649 ideals in 2000000 cliques
  232. Sun Sep 11 23:29:17 2016 commencing in-memory singleton removal
  233. Sun Sep 11 23:29:27 2016 begin with 124155314 relations and 100093316 unique ideals
  234. Sun Sep 11 23:30:29 2016 reduce to 123806079 relations and 94059108 ideals in 6 passes
  235. Sun Sep 11 23:30:29 2016 max relations containing the same ideal: 194
  236. Sun Sep 11 23:31:18 2016 removing 6981205 relations and 4981205 ideals in 2000000 cliques
  237. Sun Sep 11 23:31:21 2016 commencing in-memory singleton removal
  238. Sun Sep 11 23:31:31 2016 begin with 116824874 relations and 94059108 unique ideals
  239. Sun Sep 11 23:32:38 2016 reduce to 116520843 relations and 88769203 ideals in 7 passes
  240. Sun Sep 11 23:32:38 2016 max relations containing the same ideal: 187
  241. Sun Sep 11 23:33:24 2016 removing 6621280 relations and 4621280 ideals in 2000000 cliques
  242. Sun Sep 11 23:33:27 2016 commencing in-memory singleton removal
  243. Sun Sep 11 23:33:36 2016 begin with 109899563 relations and 88769203 unique ideals
  244. Sun Sep 11 23:34:29 2016 reduce to 109618297 relations and 83862134 ideals in 6 passes
  245. Sun Sep 11 23:34:29 2016 max relations containing the same ideal: 178
  246. Sun Sep 11 23:35:12 2016 removing 6389629 relations and 4389629 ideals in 2000000 cliques
  247. Sun Sep 11 23:35:15 2016 commencing in-memory singleton removal
  248. Sun Sep 11 23:35:24 2016 begin with 103228668 relations and 83862134 unique ideals
  249. Sun Sep 11 23:36:21 2016 reduce to 102958630 relations and 79198042 ideals in 7 passes
  250. Sun Sep 11 23:36:21 2016 max relations containing the same ideal: 171
  251. Sun Sep 11 23:37:02 2016 removing 6231520 relations and 4231520 ideals in 2000000 cliques
  252. Sun Sep 11 23:37:05 2016 commencing in-memory singleton removal
  253. Sun Sep 11 23:37:13 2016 begin with 96727110 relations and 79198042 unique ideals
  254. Sun Sep 11 23:37:59 2016 reduce to 96464056 relations and 74698781 ideals in 6 passes
  255. Sun Sep 11 23:37:59 2016 max relations containing the same ideal: 164
  256. Sun Sep 11 23:38:37 2016 removing 6108462 relations and 4108462 ideals in 2000000 cliques
  257. Sun Sep 11 23:38:40 2016 commencing in-memory singleton removal
  258. Sun Sep 11 23:38:47 2016 begin with 90355594 relations and 74698781 unique ideals
  259. Sun Sep 11 23:39:37 2016 reduce to 90093768 relations and 70323748 ideals in 7 passes
  260. Sun Sep 11 23:39:37 2016 max relations containing the same ideal: 156
  261. Sun Sep 11 23:40:13 2016 removing 6018638 relations and 4018638 ideals in 2000000 cliques
  262. Sun Sep 11 23:40:16 2016 commencing in-memory singleton removal
  263. Sun Sep 11 23:40:22 2016 begin with 84075130 relations and 70323748 unique ideals
  264. Sun Sep 11 23:41:01 2016 reduce to 83811226 relations and 66036042 ideals in 6 passes
  265. Sun Sep 11 23:41:01 2016 max relations containing the same ideal: 151
  266. Sun Sep 11 23:41:34 2016 removing 5946305 relations and 3946305 ideals in 2000000 cliques
  267. Sun Sep 11 23:41:37 2016 commencing in-memory singleton removal
  268. Sun Sep 11 23:41:42 2016 begin with 77864921 relations and 66036042 unique ideals
  269. Sun Sep 11 23:42:18 2016 reduce to 77594881 relations and 61814040 ideals in 6 passes
  270. Sun Sep 11 23:42:18 2016 max relations containing the same ideal: 143
  271. Sun Sep 11 23:42:48 2016 removing 5890421 relations and 3890421 ideals in 2000000 cliques
  272. Sun Sep 11 23:42:51 2016 commencing in-memory singleton removal
  273. Sun Sep 11 23:42:56 2016 begin with 71704460 relations and 61814040 unique ideals
  274. Sun Sep 11 23:43:28 2016 reduce to 71424868 relations and 57637568 ideals in 6 passes
  275. Sun Sep 11 23:43:28 2016 max relations containing the same ideal: 136
  276. Sun Sep 11 23:43:57 2016 removing 5845505 relations and 3845505 ideals in 2000000 cliques
  277. Sun Sep 11 23:43:59 2016 commencing in-memory singleton removal
  278. Sun Sep 11 23:44:04 2016 begin with 65579363 relations and 57637568 unique ideals
  279. Sun Sep 11 23:44:32 2016 reduce to 65287504 relations and 53493069 ideals in 6 passes
  280. Sun Sep 11 23:44:32 2016 max relations containing the same ideal: 127
  281. Sun Sep 11 23:44:58 2016 removing 5809173 relations and 3809173 ideals in 2000000 cliques
  282. Sun Sep 11 23:45:00 2016 commencing in-memory singleton removal
  283. Sun Sep 11 23:45:05 2016 begin with 59478331 relations and 53493069 unique ideals
  284. Sun Sep 11 23:45:30 2016 reduce to 59168942 relations and 49366382 ideals in 6 passes
  285. Sun Sep 11 23:45:30 2016 max relations containing the same ideal: 121
  286. Sun Sep 11 23:45:54 2016 removing 5780302 relations and 3780302 ideals in 2000000 cliques
  287. Sun Sep 11 23:45:56 2016 commencing in-memory singleton removal
  288. Sun Sep 11 23:45:59 2016 begin with 53388640 relations and 49366382 unique ideals
  289. Sun Sep 11 23:46:22 2016 reduce to 53056731 relations and 45244565 ideals in 6 passes
  290. Sun Sep 11 23:46:22 2016 max relations containing the same ideal: 110
  291. Sun Sep 11 23:46:43 2016 removing 5767170 relations and 3767170 ideals in 2000000 cliques
  292. Sun Sep 11 23:46:45 2016 commencing in-memory singleton removal
  293. Sun Sep 11 23:46:48 2016 begin with 47289561 relations and 45244565 unique ideals
  294. Sun Sep 11 23:47:07 2016 reduce to 46923962 relations and 41100245 ideals in 6 passes
  295. Sun Sep 11 23:47:07 2016 max relations containing the same ideal: 103
  296. Sun Sep 11 23:47:25 2016 removing 5765142 relations and 3765142 ideals in 2000000 cliques
  297. Sun Sep 11 23:47:27 2016 commencing in-memory singleton removal
  298. Sun Sep 11 23:47:30 2016 begin with 41158820 relations and 41100245 unique ideals
  299. Sun Sep 11 23:47:46 2016 reduce to 40737033 relations and 36898257 ideals in 6 passes
  300. Sun Sep 11 23:47:46 2016 max relations containing the same ideal: 95
  301. Sun Sep 11 23:48:01 2016 removing 5793527 relations and 3793527 ideals in 2000000 cliques
  302. Sun Sep 11 23:48:03 2016 commencing in-memory singleton removal
  303. Sun Sep 11 23:48:05 2016 begin with 34943506 relations and 36898257 unique ideals
  304. Sun Sep 11 23:48:21 2016 reduce to 34429739 relations and 32570013 ideals in 7 passes
  305. Sun Sep 11 23:48:21 2016 max relations containing the same ideal: 84
  306. Sun Sep 11 23:48:34 2016 removing 3339212 relations and 2326059 ideals in 1013153 cliques
  307. Sun Sep 11 23:48:36 2016 commencing in-memory singleton removal
  308. Sun Sep 11 23:48:37 2016 begin with 31090527 relations and 32570013 unique ideals
  309. Sun Sep 11 23:48:50 2016 reduce to 30854453 relations and 30001750 ideals in 7 passes
  310. Sun Sep 11 23:48:50 2016 max relations containing the same ideal: 80
  311. Sun Sep 11 23:49:06 2016 relations with 0 large ideals: 27830
  312. Sun Sep 11 23:49:06 2016 relations with 1 large ideals: 13613
  313. Sun Sep 11 23:49:06 2016 relations with 2 large ideals: 177311
  314. Sun Sep 11 23:49:06 2016 relations with 3 large ideals: 1079381
  315. Sun Sep 11 23:49:06 2016 relations with 4 large ideals: 3528848
  316. Sun Sep 11 23:49:06 2016 relations with 5 large ideals: 6838105
  317. Sun Sep 11 23:49:06 2016 relations with 6 large ideals: 8259833
  318. Sun Sep 11 23:49:06 2016 relations with 7+ large ideals: 10929532
  319. Sun Sep 11 23:49:06 2016 commencing 2-way merge
  320. Sun Sep 11 23:49:22 2016 reduce to 21146872 relation sets and 20294169 unique ideals
  321. Sun Sep 11 23:49:22 2016 commencing full merge
  322. Sun Sep 11 23:57:41 2016 memory use: 2646.0 MB
  323. Sun Sep 11 23:57:46 2016 found 9230614 cycles, need 9212369
  324. Sun Sep 11 23:57:46 2016 weight of 9212369 cycles is about 1198312107 (130.08/cycle)
  325. Sun Sep 11 23:57:46 2016 distribution of cycle lengths:
  326. Sun Sep 11 23:57:46 2016 1 relations: 250006
  327. Sun Sep 11 23:57:46 2016 2 relations: 426255
  328. Sun Sep 11 23:57:46 2016 3 relations: 544488
  329. Sun Sep 11 23:57:46 2016 4 relations: 597568
  330. Sun Sep 11 23:57:46 2016 5 relations: 647162
  331. Sun Sep 11 23:57:46 2016 6 relations: 663845
  332. Sun Sep 11 23:57:46 2016 7 relations: 668247
  333. Sun Sep 11 23:57:46 2016 8 relations: 654015
  334. Sun Sep 11 23:57:46 2016 9 relations: 624709
  335. Sun Sep 11 23:57:46 2016 10+ relations: 4136074
  336. Sun Sep 11 23:57:46 2016 heaviest cycle: 28 relations
  337. Sun Sep 11 23:57:49 2016 commencing cycle optimization
  338. Sun Sep 11 23:58:11 2016 start with 88493885 relations
  339. Mon Sep 12 00:02:24 2016 pruned 4864006 relations
  340. Mon Sep 12 00:02:24 2016 memory use: 2192.1 MB
  341. Mon Sep 12 00:02:24 2016 distribution of cycle lengths:
  342. Mon Sep 12 00:02:24 2016 1 relations: 250006
  343. Mon Sep 12 00:02:24 2016 2 relations: 438159
  344. Mon Sep 12 00:02:24 2016 3 relations: 569004
  345. Mon Sep 12 00:02:24 2016 4 relations: 627376
  346. Mon Sep 12 00:02:24 2016 5 relations: 686496
  347. Mon Sep 12 00:02:24 2016 6 relations: 704008
  348. Mon Sep 12 00:02:24 2016 7 relations: 713460
  349. Mon Sep 12 00:02:24 2016 8 relations: 697288
  350. Mon Sep 12 00:02:24 2016 9 relations: 664944
  351. Mon Sep 12 00:02:24 2016 10+ relations: 3861628
  352. Mon Sep 12 00:02:24 2016 heaviest cycle: 28 relations
  353. Mon Sep 12 00:02:41 2016 RelProcTime: 7677
  354. Mon Sep 12 00:02:41 2016
  355. Mon Sep 12 00:02:41 2016 commencing linear algebra
  356. Mon Sep 12 00:02:43 2016 read 9212369 cycles
  357. Mon Sep 12 00:03:05 2016 cycles contain 30435007 unique relations
  358. Mon Sep 12 00:08:38 2016 read 30435007 relations
  359. Mon Sep 12 00:09:31 2016 using 20 quadratic characters above 4294917295
  360. Mon Sep 12 00:11:40 2016 building initial matrix
  361. Mon Sep 12 00:18:32 2016 memory use: 3840.4 MB
  362. Mon Sep 12 00:18:49 2016 read 9212369 cycles
  363. Mon Sep 12 00:18:50 2016 matrix is 9212192 x 9212369 (4552.4 MB) with weight 1293851025 (140.45/col)
  364. Mon Sep 12 00:18:50 2016 sparse part has weight 1101252318 (119.54/col)
  365. Mon Sep 12 00:20:33 2016 filtering completed in 2 passes
  366. Mon Sep 12 00:20:35 2016 matrix is 9212123 x 9212300 (4552.4 MB) with weight 1293848801 (140.45/col)
  367. Mon Sep 12 00:20:35 2016 sparse part has weight 1101251548 (119.54/col)
  368. Mon Sep 12 00:21:07 2016 matrix starts at (0, 0)
  369. Mon Sep 12 00:21:08 2016 matrix is 9212123 x 9212300 (4552.4 MB) with weight 1293848801 (140.45/col)
  370. Mon Sep 12 00:21:08 2016 sparse part has weight 1101251548 (119.54/col)
  371. Mon Sep 12 00:21:08 2016 saving the first 48 matrix rows for later
  372. Mon Sep 12 00:21:10 2016 matrix includes 64 packed rows
  373. Mon Sep 12 00:21:11 2016 matrix is 9212075 x 9212300 (4365.1 MB) with weight 1117742486 (121.33/col)
  374. Mon Sep 12 00:21:11 2016 sparse part has weight 1052163811 (114.21/col)
  375. Mon Sep 12 00:21:11 2016 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
  376. Mon Sep 12 00:22:12 2016 commencing Lanczos iteration (4 threads)
  377. Mon Sep 12 00:22:12 2016 memory use: 3719.7 MB
  378. Mon Sep 12 00:23:12 2016 linear algebra at 0.0%, ETA 96h15m
  379. Mon Sep 12 00:23:31 2016 checkpointing every 100000 dimensions
  380. Mon Sep 12 09:04:56 2016 lanczos halted after 13213 iterations (dim = 835507)
  381. Mon Sep 12 09:04:58 2016 BLanczosTime: 32537
  382. Mon Sep 12 09:04:58 2016
  383. Mon Sep 12 09:04:58 2016 commencing square root phase
  384. Mon Sep 12 09:04:58 2016 handling dependencies 1 to 64
  385. Mon Sep 12 09:04:58 2016 reading relations for dependency 1
  386. Mon Sep 12 09:04:58 2016 error: read_cycles can't open dependency file
  387. Mon Sep 12 09:06:01 2016
  388. Mon Sep 12 09:06:01 2016
  389. Mon Sep 12 09:06:01 2016 Msieve v. 1.53 (SVN 988M)
  390. Mon Sep 12 09:06:01 2016 random seeds: 2a957ba1 f0adfd4c
  391. Mon Sep 12 09:06:01 2016 factoring 172608308621615932098444362807110774741442817031059033673747955378404494282189906898766973487796310603236182509032480288652360018062299241362614704138645329033198996679705805266427185718641362908680256451474869939752755522525612018717 (234 digits)
  392. Mon Sep 12 09:06:02 2016 searching for 15-digit factors
  393. Mon Sep 12 09:06:03 2016 commencing number field sieve (234-digit input)
  394. Mon Sep 12 09:06:03 2016 R0: 41144777789250865278081232758997200423491
  395. Mon Sep 12 09:06:03 2016 R1: -4052555153018976267
  396. Mon Sep 12 09:06:03 2016 A0: -11
  397. Mon Sep 12 09:06:03 2016 A1: 0
  398. Mon Sep 12 09:06:03 2016 A2: 0
  399. Mon Sep 12 09:06:03 2016 A3: 0
  400. Mon Sep 12 09:06:03 2016 A4: 0
  401. Mon Sep 12 09:06:03 2016 A5: 0
  402. Mon Sep 12 09:06:03 2016 A6: 3
  403. Mon Sep 12 09:06:03 2016 skew 1.24, size 4.209e-12, alpha 1.701, combined = 3.385e-13 rroots = 2
  404. Mon Sep 12 09:06:03 2016
  405. Mon Sep 12 09:06:03 2016 commencing linear algebra
  406. Mon Sep 12 09:06:06 2016 matrix starts at (0, 0)
  407. Mon Sep 12 09:06:07 2016 matrix is 9212123 x 9212300 (4552.4 MB) with weight 1293848801 (140.45/col)
  408. Mon Sep 12 09:06:07 2016 sparse part has weight 1101251548 (119.54/col)
  409. Mon Sep 12 09:06:07 2016 saving the first 48 matrix rows for later
  410. Mon Sep 12 09:06:08 2016 matrix includes 64 packed rows
  411. Mon Sep 12 09:06:09 2016 matrix is 9212075 x 9212300 (4365.1 MB) with weight 1117742486 (121.33/col)
  412. Mon Sep 12 09:06:09 2016 sparse part has weight 1052163811 (114.21/col)
  413. Mon Sep 12 09:06:09 2016 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
  414. Mon Sep 12 09:07:01 2016 commencing Lanczos iteration (4 threads)
  415. Mon Sep 12 09:07:01 2016 memory use: 3719.7 MB
  416. Mon Sep 12 09:07:01 2016 restarting at iteration 13213 (dim = 835507)
  417. Mon Sep 12 09:07:13 2016 checkpointing every 160000 dimensions
  418. Mon Sep 12 09:07:38 2016 linear algebra at 9.1%, ETA 56h33m
  419. Mon Sep 12 14:23:06 2016 lanczos halted after 25708 iterations (dim = 1625502)
  420. Mon Sep 12 14:23:07 2016 BLanczosTime: 19024
  421. Mon Sep 12 14:23:07 2016
  422. Mon Sep 12 14:23:07 2016 commencing square root phase
  423. Mon Sep 12 14:23:07 2016 reading relations for dependency 1
  424. Mon Sep 12 14:23:07 2016 error: read_cycles can't open dependency file
  425. Mon Sep 12 14:24:36 2016
  426. Mon Sep 12 14:24:36 2016
  427. Mon Sep 12 14:24:36 2016 Msieve v. 1.53 (SVN 988M)
  428. Mon Sep 12 14:24:36 2016 random seeds: 981d585a c87a750c
  429. Mon Sep 12 14:24:36 2016 factoring 172608308621615932098444362807110774741442817031059033673747955378404494282189906898766973487796310603236182509032480288652360018062299241362614704138645329033198996679705805266427185718641362908680256451474869939752755522525612018717 (234 digits)
  430. Mon Sep 12 14:24:37 2016 searching for 15-digit factors
  431. Mon Sep 12 14:24:39 2016 commencing number field sieve (234-digit input)
  432. Mon Sep 12 14:24:39 2016 R0: 41144777789250865278081232758997200423491
  433. Mon Sep 12 14:24:39 2016 R1: -4052555153018976267
  434. Mon Sep 12 14:24:39 2016 A0: -11
  435. Mon Sep 12 14:24:39 2016 A1: 0
  436. Mon Sep 12 14:24:39 2016 A2: 0
  437. Mon Sep 12 14:24:39 2016 A3: 0
  438. Mon Sep 12 14:24:39 2016 A4: 0
  439. Mon Sep 12 14:24:39 2016 A5: 0
  440. Mon Sep 12 14:24:39 2016 A6: 3
  441. Mon Sep 12 14:24:39 2016 skew 1.24, size 4.209e-12, alpha 1.701, combined = 3.385e-13 rroots = 2
  442. Mon Sep 12 14:24:39 2016
  443. Mon Sep 12 14:24:39 2016 commencing linear algebra
  444. Mon Sep 12 14:24:43 2016 matrix starts at (0, 0)
  445. Mon Sep 12 14:24:44 2016 matrix is 9212123 x 9212300 (4552.4 MB) with weight 1293848801 (140.45/col)
  446. Mon Sep 12 14:24:44 2016 sparse part has weight 1101251548 (119.54/col)
  447. Mon Sep 12 14:24:44 2016 saving the first 48 matrix rows for later
  448. Mon Sep 12 14:24:46 2016 matrix includes 64 packed rows
  449. Mon Sep 12 14:24:47 2016 matrix is 9212075 x 9212300 (4365.1 MB) with weight 1117742486 (121.33/col)
  450. Mon Sep 12 14:24:47 2016 sparse part has weight 1052163811 (114.21/col)
  451. Mon Sep 12 14:24:47 2016 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  452. Mon Sep 12 14:25:51 2016 commencing Lanczos iteration (12 threads)
  453. Mon Sep 12 14:25:52 2016 memory use: 3719.9 MB
  454. Mon Sep 12 14:25:52 2016 restarting at iteration 25708 (dim = 1625502)
  455. Mon Sep 12 14:25:58 2016 checkpointing every 310000 dimensions
  456. Mon Sep 12 14:26:09 2016 linear algebra at 17.7%, ETA 23h31m
  457. Mon Sep 12 15:51:39 2016 lanczos halted after 33130 iterations (dim = 2094852)
  458. Mon Sep 12 15:51:41 2016 BLanczosTime: 5222
  459. Mon Sep 12 15:51:41 2016
  460. Mon Sep 12 15:51:41 2016 commencing square root phase
  461. Mon Sep 12 15:51:41 2016 reading relations for dependency 1
  462. Mon Sep 12 15:51:41 2016 error: read_cycles can't open dependency file
  463. Tue Sep 13 11:54:51 2016
  464. Tue Sep 13 11:54:51 2016
  465. Tue Sep 13 11:54:51 2016 Msieve v. 1.53 (SVN 988M)
  466. Tue Sep 13 11:54:51 2016 random seeds: 132cfe71 2cacbbf0
  467. Tue Sep 13 11:54:51 2016 factoring 172608308621615932098444362807110774741442817031059033673747955378404494282189906898766973487796310603236182509032480288652360018062299241362614704138645329033198996679705805266427185718641362908680256451474869939752755522525612018717 (234 digits)
  468. Tue Sep 13 11:54:52 2016 searching for 15-digit factors
  469. Tue Sep 13 11:54:54 2016 commencing number field sieve (234-digit input)
  470. Tue Sep 13 11:54:54 2016 R0: 41144777789250865278081232758997200423491
  471. Tue Sep 13 11:54:54 2016 R1: -4052555153018976267
  472. Tue Sep 13 11:54:54 2016 A0: -11
  473. Tue Sep 13 11:54:54 2016 A1: 0
  474. Tue Sep 13 11:54:54 2016 A2: 0
  475. Tue Sep 13 11:54:54 2016 A3: 0
  476. Tue Sep 13 11:54:54 2016 A4: 0
  477. Tue Sep 13 11:54:54 2016 A5: 0
  478. Tue Sep 13 11:54:54 2016 A6: 3
  479. Tue Sep 13 11:54:54 2016 skew 1.24, size 4.209e-12, alpha 1.701, combined = 3.385e-13 rroots = 2
  480. Tue Sep 13 11:54:54 2016
  481. Tue Sep 13 11:54:54 2016 commencing linear algebra
  482. Tue Sep 13 11:56:44 2016 matrix starts at (0, 0)
  483. Tue Sep 13 11:56:45 2016 matrix is 9212123 x 9212300 (4552.4 MB) with weight 1293848801 (140.45/col)
  484. Tue Sep 13 11:56:45 2016 sparse part has weight 1101251548 (119.54/col)
  485. Tue Sep 13 11:56:45 2016 saving the first 48 matrix rows for later
  486. Tue Sep 13 11:56:47 2016 matrix includes 64 packed rows
  487. Tue Sep 13 11:56:48 2016 matrix is 9212075 x 9212300 (4365.1 MB) with weight 1117742486 (121.33/col)
  488. Tue Sep 13 11:56:48 2016 sparse part has weight 1052163811 (114.21/col)
  489. Tue Sep 13 11:56:48 2016 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  490. Tue Sep 13 11:57:53 2016 commencing Lanczos iteration (12 threads)
  491. Tue Sep 13 11:57:53 2016 memory use: 3719.9 MB
  492. Tue Sep 13 11:58:02 2016 restarting at iteration 33130 (dim = 2094852)
  493. Tue Sep 13 11:58:14 2016 checkpointing every 370000 dimensions
  494. Tue Sep 13 11:58:18 2016 linear algebra at 22.8%, ETA 20h52m
  495. Wed Sep 14 10:46:56 2016 lanczos halted after 145683 iterations (dim = 9212072)
  496. Wed Sep 14 10:47:08 2016 recovered 33 nontrivial dependencies
  497. Wed Sep 14 10:47:12 2016 BLanczosTime: 82338
  498. Wed Sep 14 10:47:12 2016
  499. Wed Sep 14 10:47:12 2016 commencing square root phase
  500. Wed Sep 14 10:47:12 2016 reading relations for dependency 1
  501. Wed Sep 14 10:47:21 2016 read 4604834 cycles
  502. Wed Sep 14 10:47:30 2016 cycles contain 15212756 unique relations
  503. Wed Sep 14 10:53:24 2016 read 15212756 relations
  504. Wed Sep 14 10:54:31 2016 multiplying 15212756 relations
  505. Wed Sep 14 11:06:20 2016 multiply complete, coefficients have about 405.79 million bits
  506. Wed Sep 14 11:06:23 2016 initial square root is modulo 19109767
  507. Wed Sep 14 11:18:47 2016 sqrtTime: 1895
  508. Wed Sep 14 11:18:48 2016 p110 factor: 54268481449280215840198360924838255215252555210331813793874392538308304682756053165706186679970465596514656071
  509. Wed Sep 14 11:18:49 2016 p124 factor: 3180636421215086419421510383588502483627598789271555466138233449167799049803524721986809686719398104069819983642297733288827
  510. Wed Sep 14 11:18:49 2016 elapsed time 23:23:58
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