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  1. Tue Sep  6 08:18:00 2016  
  2. Tue Sep  6 08:18:00 2016  
  3. Tue Sep  6 08:18:00 2016  Msieve v. 1.53 (SVN 988M)
  4. Tue Sep  6 08:18:00 2016  random seeds: 140f790a 5f2aa632
  5. Tue Sep  6 08:18:00 2016  factoring 1891006780637012815186651979659035314147060079976474877086685669548583376933617032076483781248573499148445186559175049630697763170002914865117263441711153388564159680217187172727182171351470837365511043599011131 (211 digits)
  6. Tue Sep  6 08:18:00 2016  searching for 15-digit factors
  7. Tue Sep  6 08:18:02 2016  commencing number field sieve (211-digit input)
  8. Tue Sep  6 08:18:02 2016  R0: 34694469519536141888238489627838134765625
  9. Tue Sep  6 08:18:02 2016  R1: -288230376151711744
  10. Tue Sep  6 08:18:02 2016  A0: 5
  11. Tue Sep  6 08:18:02 2016  A1: 0
  12. Tue Sep  6 08:18:02 2016  A2: 0
  13. Tue Sep  6 08:18:02 2016  A3: 0
  14. Tue Sep  6 08:18:02 2016  A4: 0
  15. Tue Sep  6 08:18:02 2016  A5: 0
  16. Tue Sep  6 08:18:02 2016  A6: 2
  17. Tue Sep  6 08:18:02 2016  skew 1.17, size 7.760e-12, alpha -0.060, combined = 5.226e-13 rroots = 0
  18. Tue Sep  6 08:18:02 2016  
  19. Tue Sep  6 08:18:02 2016  commencing relation filtering
  20. Tue Sep  6 08:18:02 2016  setting target matrix density to 140.0
  21. Tue Sep  6 08:18:02 2016  estimated available RAM is 16384.0 MB
  22. Tue Sep  6 08:18:02 2016  commencing duplicate removal, pass 1
  23. Tue Sep  6 08:43:17 2016  error -9 reading relation 216528530
  24. Tue Sep  6 08:43:49 2016  error -15 reading relation 221184622
  25. Tue Sep  6 08:44:38 2016  error -15 reading relation 228172736
  26. Tue Sep  6 08:45:39 2016  error -9 reading relation 237106168
  27. Tue Sep  6 08:45:42 2016  error -1 reading relation 237463570
  28. Tue Sep  6 08:47:31 2016  error -9 reading relation 253315002
  29. Tue Sep  6 08:47:48 2016  error -9 reading relation 255668555
  30. Tue Sep  6 08:47:54 2016  error -5 reading relation 256601275
  31. Tue Sep  6 08:47:54 2016  error -9 reading relation 256617075
  32. Tue Sep  6 08:47:59 2016  error -9 reading relation 257335356
  33. Tue Sep  6 08:48:02 2016  error -15 reading relation 257652860
  34. Tue Sep  6 08:48:15 2016  error -9 reading relation 259616042
  35. Tue Sep  6 08:49:01 2016  error -1 reading relation 266205199
  36. Tue Sep  6 08:49:15 2016  error -15 reading relation 268140569
  37. Tue Sep  6 08:49:22 2016  error -15 reading relation 269146066
  38. Tue Sep  6 08:49:27 2016  skipped 55 relations with b > 2^32
  39. Tue Sep  6 08:49:27 2016  skipped 11 relations with composite factors
  40. Tue Sep  6 08:49:27 2016  found 52902198 hash collisions in 269844064 relations
  41. Tue Sep  6 08:49:40 2016  added 1219020 free relations
  42. Tue Sep  6 08:49:40 2016  commencing duplicate removal, pass 2
  43. Tue Sep  6 08:53:32 2016  found 50670308 duplicates and 220392776 unique relations
  44. Tue Sep  6 08:53:32 2016  memory use: 1321.5 MB
  45. Tue Sep  6 08:53:32 2016  reading ideals above 139919360
  46. Tue Sep  6 08:53:32 2016  commencing singleton removal, initial pass
  47. Tue Sep  6 09:13:19 2016  memory use: 5512.0 MB
  48. Tue Sep  6 09:13:19 2016  reading all ideals from disk
  49. Tue Sep  6 09:13:29 2016  memory use: 3735.3 MB
  50. Tue Sep  6 09:13:36 2016  commencing in-memory singleton removal
  51. Tue Sep  6 09:13:44 2016  begin with 220392776 relations and 165244264 unique ideals
  52. Tue Sep  6 09:14:59 2016  reduce to 160660353 relations and 100624493 ideals in 11 passes
  53. Tue Sep  6 09:14:59 2016  max relations containing the same ideal: 46
  54. Tue Sep  6 09:15:11 2016  reading ideals above 720000
  55. Tue Sep  6 09:15:11 2016  commencing singleton removal, initial pass
  56. Tue Sep  6 09:33:54 2016  memory use: 3012.0 MB
  57. Tue Sep  6 09:33:54 2016  reading all ideals from disk
  58. Tue Sep  6 09:34:10 2016  memory use: 6243.5 MB
  59. Tue Sep  6 09:34:26 2016  keeping 115624049 ideals with weight <= 200, target excess is 817108
  60. Tue Sep  6 09:34:38 2016  commencing in-memory singleton removal
  61. Tue Sep  6 09:34:51 2016  begin with 160660353 relations and 115624049 unique ideals
  62. Tue Sep  6 09:35:34 2016  reduce to 160660186 relations and 115623882 ideals in 4 passes
  63. Tue Sep  6 09:35:34 2016  max relations containing the same ideal: 200
  64. Tue Sep  6 09:36:26 2016  removing 9303046 relations and 7303046 ideals in 2000000 cliques
  65. Tue Sep  6 09:36:30 2016  commencing in-memory singleton removal
  66. Tue Sep  6 09:36:42 2016  begin with 151357140 relations and 115623882 unique ideals
  67. Tue Sep  6 09:37:53 2016  reduce to 150945703 relations and 107902700 ideals in 7 passes
  68. Tue Sep  6 09:37:53 2016  max relations containing the same ideal: 198
  69. Tue Sep  6 09:38:41 2016  removing 7138076 relations and 5138076 ideals in 2000000 cliques
  70. Tue Sep  6 09:38:45 2016  commencing in-memory singleton removal
  71. Tue Sep  6 09:38:56 2016  begin with 143807627 relations and 107902700 unique ideals
  72. Tue Sep  6 09:40:02 2016  reduce to 143531148 relations and 102484289 ideals in 7 passes
  73. Tue Sep  6 09:40:02 2016  max relations containing the same ideal: 194
  74. Tue Sep  6 09:40:49 2016  removing 6525919 relations and 4525919 ideals in 2000000 cliques
  75. Tue Sep  6 09:40:52 2016  commencing in-memory singleton removal
  76. Tue Sep  6 09:41:03 2016  begin with 137005229 relations and 102484289 unique ideals
  77. Tue Sep  6 09:41:57 2016  reduce to 136768270 relations and 97718105 ideals in 6 passes
  78. Tue Sep  6 09:41:57 2016  max relations containing the same ideal: 190
  79. Tue Sep  6 09:42:41 2016  removing 6205865 relations and 4205865 ideals in 2000000 cliques
  80. Tue Sep  6 09:42:44 2016  commencing in-memory singleton removal
  81. Tue Sep  6 09:42:54 2016  begin with 130562405 relations and 97718105 unique ideals
  82. Tue Sep  6 09:43:53 2016  reduce to 130346345 relations and 93293042 ideals in 7 passes
  83. Tue Sep  6 09:43:53 2016  max relations containing the same ideal: 184
  84. Tue Sep  6 09:44:35 2016  removing 6001338 relations and 4001338 ideals in 2000000 cliques
  85. Tue Sep  6 09:44:38 2016  commencing in-memory singleton removal
  86. Tue Sep  6 09:44:48 2016  begin with 124345007 relations and 93293042 unique ideals
  87. Tue Sep  6 09:45:36 2016  reduce to 124140849 relations and 89084619 ideals in 6 passes
  88. Tue Sep  6 09:45:36 2016  max relations containing the same ideal: 179
  89. Tue Sep  6 09:46:16 2016  removing 5853924 relations and 3853924 ideals in 2000000 cliques
  90. Tue Sep  6 09:46:19 2016  commencing in-memory singleton removal
  91. Tue Sep  6 09:46:28 2016  begin with 118286925 relations and 89084619 unique ideals
  92. Tue Sep  6 09:47:13 2016  reduce to 118089687 relations and 85030374 ideals in 6 passes
  93. Tue Sep  6 09:47:13 2016  max relations containing the same ideal: 175
  94. Tue Sep  6 09:47:51 2016  removing 5744419 relations and 3744419 ideals in 2000000 cliques
  95. Tue Sep  6 09:47:54 2016  commencing in-memory singleton removal
  96. Tue Sep  6 09:48:02 2016  begin with 112345268 relations and 85030374 unique ideals
  97. Tue Sep  6 09:48:45 2016  reduce to 112151609 relations and 81089192 ideals in 6 passes
  98. Tue Sep  6 09:48:45 2016  max relations containing the same ideal: 169
  99. Tue Sep  6 09:49:21 2016  removing 5657949 relations and 3657949 ideals in 2000000 cliques
  100. Tue Sep  6 09:49:23 2016  commencing in-memory singleton removal
  101. Tue Sep  6 09:49:31 2016  begin with 106493660 relations and 81089192 unique ideals
  102. Tue Sep  6 09:50:11 2016  reduce to 106301765 relations and 77236082 ideals in 6 passes
  103. Tue Sep  6 09:50:11 2016  max relations containing the same ideal: 165
  104. Tue Sep  6 09:50:46 2016  removing 5589950 relations and 3589950 ideals in 2000000 cliques
  105. Tue Sep  6 09:50:48 2016  commencing in-memory singleton removal
  106. Tue Sep  6 09:50:55 2016  begin with 100711815 relations and 77236082 unique ideals
  107. Tue Sep  6 09:51:39 2016  reduce to 100518299 relations and 73449220 ideals in 7 passes
  108. Tue Sep  6 09:51:39 2016  max relations containing the same ideal: 159
  109. Tue Sep  6 09:52:12 2016  removing 5533729 relations and 3533729 ideals in 2000000 cliques
  110. Tue Sep  6 09:52:14 2016  commencing in-memory singleton removal
  111. Tue Sep  6 09:52:20 2016  begin with 94984570 relations and 73449220 unique ideals
  112. Tue Sep  6 09:52:55 2016  reduce to 94789292 relations and 69716619 ideals in 6 passes
  113. Tue Sep  6 09:52:55 2016  max relations containing the same ideal: 153
  114. Tue Sep  6 09:53:26 2016  removing 5490769 relations and 3490769 ideals in 2000000 cliques
  115. Tue Sep  6 09:53:28 2016  commencing in-memory singleton removal
  116. Tue Sep  6 09:53:34 2016  begin with 89298523 relations and 69716619 unique ideals
  117. Tue Sep  6 09:54:07 2016  reduce to 89100141 relations and 66023515 ideals in 6 passes
  118. Tue Sep  6 09:54:07 2016  max relations containing the same ideal: 146
  119. Tue Sep  6 09:54:35 2016  removing 5452956 relations and 3452956 ideals in 2000000 cliques
  120. Tue Sep  6 09:54:37 2016  commencing in-memory singleton removal
  121. Tue Sep  6 09:54:43 2016  begin with 83647185 relations and 66023515 unique ideals
  122. Tue Sep  6 09:55:13 2016  reduce to 83442886 relations and 62362112 ideals in 6 passes
  123. Tue Sep  6 09:55:13 2016  max relations containing the same ideal: 140
  124. Tue Sep  6 09:55:39 2016  removing 5426080 relations and 3426080 ideals in 2000000 cliques
  125. Tue Sep  6 09:55:41 2016  commencing in-memory singleton removal
  126. Tue Sep  6 09:55:47 2016  begin with 78016806 relations and 62362112 unique ideals
  127. Tue Sep  6 09:56:10 2016  reduce to 77804447 relations and 58719057 ideals in 5 passes
  128. Tue Sep  6 09:56:10 2016  max relations containing the same ideal: 134
  129. Tue Sep  6 09:56:35 2016  removing 5406084 relations and 3406084 ideals in 2000000 cliques
  130. Tue Sep  6 09:56:37 2016  commencing in-memory singleton removal
  131. Tue Sep  6 09:56:42 2016  begin with 72398363 relations and 58719057 unique ideals
  132. Tue Sep  6 09:57:07 2016  reduce to 72177214 relations and 55086691 ideals in 6 passes
  133. Tue Sep  6 09:57:07 2016  max relations containing the same ideal: 128
  134. Tue Sep  6 09:57:31 2016  removing 5388917 relations and 3388917 ideals in 2000000 cliques
  135. Tue Sep  6 09:57:33 2016  commencing in-memory singleton removal
  136. Tue Sep  6 09:57:37 2016  begin with 66788297 relations and 55086691 unique ideals
  137. Tue Sep  6 09:58:00 2016  reduce to 66555561 relations and 51459262 ideals in 6 passes
  138. Tue Sep  6 09:58:00 2016  max relations containing the same ideal: 119
  139. Tue Sep  6 09:58:21 2016  removing 5381994 relations and 3381994 ideals in 2000000 cliques
  140. Tue Sep  6 09:58:23 2016  commencing in-memory singleton removal
  141. Tue Sep  6 09:58:27 2016  begin with 61173567 relations and 51459262 unique ideals
  142. Tue Sep  6 09:58:48 2016  reduce to 60925698 relations and 47822875 ideals in 6 passes
  143. Tue Sep  6 09:58:48 2016  max relations containing the same ideal: 113
  144. Tue Sep  6 09:59:07 2016  removing 5378770 relations and 3378770 ideals in 2000000 cliques
  145. Tue Sep  6 09:59:09 2016  commencing in-memory singleton removal
  146. Tue Sep  6 09:59:12 2016  begin with 55546928 relations and 47822875 unique ideals
  147. Tue Sep  6 09:59:34 2016  reduce to 55280545 relations and 44170207 ideals in 7 passes
  148. Tue Sep  6 09:59:34 2016  max relations containing the same ideal: 104
  149. Tue Sep  6 09:59:51 2016  removing 5381878 relations and 3381878 ideals in 2000000 cliques
  150. Tue Sep  6 09:59:53 2016  commencing in-memory singleton removal
  151. Tue Sep  6 09:59:56 2016  begin with 49898667 relations and 44170207 unique ideals
  152. Tue Sep  6 10:00:11 2016  reduce to 49609328 relations and 40490085 ideals in 6 passes
  153. Tue Sep  6 10:00:11 2016  max relations containing the same ideal: 96
  154. Tue Sep  6 10:00:27 2016  removing 5389421 relations and 3389421 ideals in 2000000 cliques
  155. Tue Sep  6 10:00:29 2016  commencing in-memory singleton removal
  156. Tue Sep  6 10:00:31 2016  begin with 44219907 relations and 40490085 unique ideals
  157. Tue Sep  6 10:00:45 2016  reduce to 43897514 relations and 36767328 ideals in 6 passes
  158. Tue Sep  6 10:00:45 2016  max relations containing the same ideal: 87
  159. Tue Sep  6 10:00:58 2016  removing 5404834 relations and 3404834 ideals in 2000000 cliques
  160. Tue Sep  6 10:01:00 2016  commencing in-memory singleton removal
  161. Tue Sep  6 10:01:02 2016  begin with 38492680 relations and 36767328 unique ideals
  162. Tue Sep  6 10:01:15 2016  reduce to 38122708 relations and 32978584 ideals in 7 passes
  163. Tue Sep  6 10:01:15 2016  max relations containing the same ideal: 80
  164. Tue Sep  6 10:01:26 2016  removing 5438665 relations and 3438665 ideals in 2000000 cliques
  165. Tue Sep  6 10:01:28 2016  commencing in-memory singleton removal
  166. Tue Sep  6 10:01:30 2016  begin with 32684043 relations and 32978584 unique ideals
  167. Tue Sep  6 10:01:40 2016  reduce to 32239949 relations and 29076589 ideals in 7 passes
  168. Tue Sep  6 10:01:40 2016  max relations containing the same ideal: 72
  169. Tue Sep  6 10:01:50 2016  removing 5496431 relations and 3496431 ideals in 2000000 cliques
  170. Tue Sep  6 10:01:51 2016  commencing in-memory singleton removal
  171. Tue Sep  6 10:01:53 2016  begin with 26743518 relations and 29076589 unique ideals
  172. Tue Sep  6 10:02:02 2016  reduce to 26168726 relations and 24975956 ideals in 8 passes
  173. Tue Sep  6 10:02:02 2016  max relations containing the same ideal: 63
  174. Tue Sep  6 10:02:09 2016  removing 970246 relations and 725322 ideals in 244924 cliques
  175. Tue Sep  6 10:02:10 2016  commencing in-memory singleton removal
  176. Tue Sep  6 10:02:11 2016  begin with 25198480 relations and 24975956 unique ideals
  177. Tue Sep  6 10:02:18 2016  reduce to 25162660 relations and 24214454 ideals in 7 passes
  178. Tue Sep  6 10:02:18 2016  max relations containing the same ideal: 62
  179. Tue Sep  6 10:02:29 2016  relations with 0 large ideals: 31276
  180. Tue Sep  6 10:02:29 2016  relations with 1 large ideals: 20480
  181. Tue Sep  6 10:02:29 2016  relations with 2 large ideals: 256630
  182. Tue Sep  6 10:02:29 2016  relations with 3 large ideals: 1372527
  183. Tue Sep  6 10:02:29 2016  relations with 4 large ideals: 3864045
  184. Tue Sep  6 10:02:29 2016  relations with 5 large ideals: 6375379
  185. Tue Sep  6 10:02:29 2016  relations with 6 large ideals: 6506124
  186. Tue Sep  6 10:02:29 2016  relations with 7+ large ideals: 6736199
  187. Tue Sep  6 10:02:29 2016  commencing 2-way merge
  188. Tue Sep  6 10:02:39 2016  reduce to 17332281 relation sets and 16384075 unique ideals
  189. Tue Sep  6 10:02:39 2016  commencing full merge
  190. Tue Sep  6 10:12:53 2016  memory use: 765.2 MB
  191. Tue Sep  6 10:12:54 2016  found 52217 cycles, need 3893308
  192. Tue Sep  6 10:12:54 2016  too few cycles, matrix probably cannot build
  193. Tue Sep  6 10:14:14 2016  
  194. Tue Sep  6 10:14:14 2016  
  195. Tue Sep  6 10:14:14 2016  Msieve v. 1.53 (SVN 988M)
  196. Tue Sep  6 10:14:14 2016  random seeds: c683b365 518a43a6
  197. Tue Sep  6 10:14:14 2016  factoring 1891006780637012815186651979659035314147060079976474877086685669548583376933617032076483781248573499148445186559175049630697763170002914865117263441711153388564159680217187172727182171351470837365511043599011131 (211 digits)
  198. Tue Sep  6 10:14:15 2016  searching for 15-digit factors
  199. Tue Sep  6 10:14:16 2016  commencing number field sieve (211-digit input)
  200. Tue Sep  6 10:14:16 2016  R0: 34694469519536141888238489627838134765625
  201. Tue Sep  6 10:14:16 2016  R1: -288230376151711744
  202. Tue Sep  6 10:14:16 2016  A0: 5
  203. Tue Sep  6 10:14:16 2016  A1: 0
  204. Tue Sep  6 10:14:16 2016  A2: 0
  205. Tue Sep  6 10:14:16 2016  A3: 0
  206. Tue Sep  6 10:14:16 2016  A4: 0
  207. Tue Sep  6 10:14:16 2016  A5: 0
  208. Tue Sep  6 10:14:16 2016  A6: 2
  209. Tue Sep  6 10:14:16 2016  skew 1.17, size 7.760e-12, alpha -0.060, combined = 5.226e-13 rroots = 0
  210. Tue Sep  6 10:14:16 2016  
  211. Tue Sep  6 10:14:16 2016  commencing relation filtering
  212. Tue Sep  6 10:14:16 2016  setting target matrix density to 130.0
  213. Tue Sep  6 10:14:16 2016  estimated available RAM is 16384.0 MB
  214. Tue Sep  6 10:14:16 2016  commencing duplicate removal, pass 1
  215. Tue Sep  6 10:39:31 2016  error -9 reading relation 216528530
  216. Tue Sep  6 10:40:04 2016  error -15 reading relation 221184622
  217. Tue Sep  6 10:40:52 2016  error -15 reading relation 228172736
  218. Tue Sep  6 10:41:54 2016  error -9 reading relation 237106168
  219. Tue Sep  6 10:41:56 2016  error -1 reading relation 237463570
  220. Tue Sep  6 10:43:46 2016  error -9 reading relation 253315002
  221. Tue Sep  6 10:44:02 2016  error -9 reading relation 255668555
  222. Tue Sep  6 10:44:09 2016  error -5 reading relation 256601275
  223. Tue Sep  6 10:44:09 2016  error -9 reading relation 256617075
  224. Tue Sep  6 10:44:14 2016  error -9 reading relation 257335356
  225. Tue Sep  6 10:44:16 2016  error -15 reading relation 257652860
  226. Tue Sep  6 10:44:30 2016  error -9 reading relation 259616042
  227. Tue Sep  6 10:45:16 2016  error -1 reading relation 266205199
  228. Tue Sep  6 10:45:30 2016  error -15 reading relation 268140569
  229. Tue Sep  6 10:45:37 2016  error -15 reading relation 269146066
  230. Tue Sep  6 10:45:56 2016  skipped 55 relations with b > 2^32
  231. Tue Sep  6 10:45:56 2016  skipped 11 relations with composite factors
  232. Tue Sep  6 10:45:56 2016  found 52995312 hash collisions in 271063084 relations
  233. Tue Sep  6 10:46:05 2016  added 1 free relations
  234. Tue Sep  6 10:46:05 2016  commencing duplicate removal, pass 2
  235. Tue Sep  6 10:49:56 2016  found 50670308 duplicates and 220392777 unique relations
  236. Tue Sep  6 10:49:56 2016  memory use: 1321.5 MB
  237. Tue Sep  6 10:49:56 2016  reading ideals above 139919360
  238. Tue Sep  6 10:49:56 2016  commencing singleton removal, initial pass
  239. Tue Sep  6 11:09:44 2016  memory use: 5512.0 MB
  240. Tue Sep  6 11:09:44 2016  reading all ideals from disk
  241. Tue Sep  6 11:09:54 2016  memory use: 3735.3 MB
  242. Tue Sep  6 11:10:01 2016  commencing in-memory singleton removal
  243. Tue Sep  6 11:10:09 2016  begin with 220392777 relations and 165244264 unique ideals
  244. Tue Sep  6 11:11:24 2016  reduce to 160660354 relations and 100624493 ideals in 11 passes
  245. Tue Sep  6 11:11:24 2016  max relations containing the same ideal: 46
  246. Tue Sep  6 11:11:36 2016  reading ideals above 720000
  247. Tue Sep  6 11:11:36 2016  commencing singleton removal, initial pass
  248. Tue Sep  6 11:30:16 2016  memory use: 3012.0 MB
  249. Tue Sep  6 11:30:16 2016  reading all ideals from disk
  250. Tue Sep  6 11:30:32 2016  memory use: 6243.5 MB
  251. Tue Sep  6 11:30:47 2016  keeping 115624049 ideals with weight <= 200, target excess is 817108
  252. Tue Sep  6 11:31:00 2016  commencing in-memory singleton removal
  253. Tue Sep  6 11:31:13 2016  begin with 160660354 relations and 115624049 unique ideals
  254. Tue Sep  6 11:31:56 2016  reduce to 160660187 relations and 115623882 ideals in 4 passes
  255. Tue Sep  6 11:31:56 2016  max relations containing the same ideal: 200
  256. Tue Sep  6 11:32:48 2016  removing 9303046 relations and 7303046 ideals in 2000000 cliques
  257. Tue Sep  6 11:32:52 2016  commencing in-memory singleton removal
  258. Tue Sep  6 11:33:04 2016  begin with 151357141 relations and 115623882 unique ideals
  259. Tue Sep  6 11:34:14 2016  reduce to 150945704 relations and 107902700 ideals in 7 passes
  260. Tue Sep  6 11:34:14 2016  max relations containing the same ideal: 198
  261. Tue Sep  6 11:35:03 2016  removing 7138076 relations and 5138076 ideals in 2000000 cliques
  262. Tue Sep  6 11:35:06 2016  commencing in-memory singleton removal
  263. Tue Sep  6 11:35:17 2016  begin with 143807628 relations and 107902700 unique ideals
  264. Tue Sep  6 11:36:23 2016  reduce to 143531149 relations and 102484289 ideals in 7 passes
  265. Tue Sep  6 11:36:23 2016  max relations containing the same ideal: 194
  266. Tue Sep  6 11:37:10 2016  removing 6525922 relations and 4525922 ideals in 2000000 cliques
  267. Tue Sep  6 11:37:13 2016  commencing in-memory singleton removal
  268. Tue Sep  6 11:37:24 2016  begin with 137005227 relations and 102484289 unique ideals
  269. Tue Sep  6 11:38:18 2016  reduce to 136768269 relations and 97718103 ideals in 6 passes
  270. Tue Sep  6 11:38:18 2016  max relations containing the same ideal: 190
  271. Tue Sep  6 11:39:02 2016  removing 6205865 relations and 4205865 ideals in 2000000 cliques
  272. Tue Sep  6 11:39:05 2016  commencing in-memory singleton removal
  273. Tue Sep  6 11:39:14 2016  begin with 130562404 relations and 97718103 unique ideals
  274. Tue Sep  6 11:40:14 2016  reduce to 130346344 relations and 93293040 ideals in 7 passes
  275. Tue Sep  6 11:40:14 2016  max relations containing the same ideal: 184
  276. Tue Sep  6 11:40:56 2016  removing 6001334 relations and 4001334 ideals in 2000000 cliques
  277. Tue Sep  6 11:40:59 2016  commencing in-memory singleton removal
  278. Tue Sep  6 11:41:08 2016  begin with 124345010 relations and 93293040 unique ideals
  279. Tue Sep  6 11:41:56 2016  reduce to 124140851 relations and 89084620 ideals in 6 passes
  280. Tue Sep  6 11:41:56 2016  max relations containing the same ideal: 179
  281. Tue Sep  6 11:42:37 2016  removing 5853926 relations and 3853926 ideals in 2000000 cliques
  282. Tue Sep  6 11:42:39 2016  commencing in-memory singleton removal
  283. Tue Sep  6 11:42:48 2016  begin with 118286925 relations and 89084620 unique ideals
  284. Tue Sep  6 11:43:34 2016  reduce to 118089689 relations and 85030375 ideals in 6 passes
  285. Tue Sep  6 11:43:34 2016  max relations containing the same ideal: 175
  286. Tue Sep  6 11:44:12 2016  removing 5744419 relations and 3744419 ideals in 2000000 cliques
  287. Tue Sep  6 11:44:15 2016  commencing in-memory singleton removal
  288. Tue Sep  6 11:44:23 2016  begin with 112345270 relations and 85030375 unique ideals
  289. Tue Sep  6 11:45:06 2016  reduce to 112151611 relations and 81089193 ideals in 6 passes
  290. Tue Sep  6 11:45:06 2016  max relations containing the same ideal: 169
  291. Tue Sep  6 11:45:42 2016  removing 5657949 relations and 3657949 ideals in 2000000 cliques
  292. Tue Sep  6 11:45:44 2016  commencing in-memory singleton removal
  293. Tue Sep  6 11:45:52 2016  begin with 106493662 relations and 81089193 unique ideals
  294. Tue Sep  6 11:46:32 2016  reduce to 106301765 relations and 77236081 ideals in 6 passes
  295. Tue Sep  6 11:46:32 2016  max relations containing the same ideal: 165
  296. Tue Sep  6 11:47:07 2016  removing 5589948 relations and 3589948 ideals in 2000000 cliques
  297. Tue Sep  6 11:47:09 2016  commencing in-memory singleton removal
  298. Tue Sep  6 11:47:16 2016  begin with 100711817 relations and 77236081 unique ideals
  299. Tue Sep  6 11:48:00 2016  reduce to 100518301 relations and 73449221 ideals in 7 passes
  300. Tue Sep  6 11:48:00 2016  max relations containing the same ideal: 159
  301. Tue Sep  6 11:48:33 2016  removing 5533729 relations and 3533729 ideals in 2000000 cliques
  302. Tue Sep  6 11:48:35 2016  commencing in-memory singleton removal
  303. Tue Sep  6 11:48:42 2016  begin with 94984572 relations and 73449221 unique ideals
  304. Tue Sep  6 11:49:17 2016  reduce to 94789294 relations and 69716620 ideals in 6 passes
  305. Tue Sep  6 11:49:17 2016  max relations containing the same ideal: 153
  306. Tue Sep  6 11:49:47 2016  removing 5490769 relations and 3490769 ideals in 2000000 cliques
  307. Tue Sep  6 11:49:50 2016  commencing in-memory singleton removal
  308. Tue Sep  6 11:49:56 2016  begin with 89298525 relations and 69716620 unique ideals
  309. Tue Sep  6 11:50:28 2016  reduce to 89100145 relations and 66023518 ideals in 6 passes
  310. Tue Sep  6 11:50:28 2016  max relations containing the same ideal: 146
  311. Tue Sep  6 11:50:58 2016  removing 5452961 relations and 3452961 ideals in 2000000 cliques
  312. Tue Sep  6 11:51:00 2016  commencing in-memory singleton removal
  313. Tue Sep  6 11:51:05 2016  begin with 83647184 relations and 66023518 unique ideals
  314. Tue Sep  6 11:51:36 2016  reduce to 83442883 relations and 62362109 ideals in 6 passes
  315. Tue Sep  6 11:51:36 2016  max relations containing the same ideal: 140
  316. Tue Sep  6 11:52:03 2016  removing 5426079 relations and 3426079 ideals in 2000000 cliques
  317. Tue Sep  6 11:52:05 2016  commencing in-memory singleton removal
  318. Tue Sep  6 11:52:10 2016  begin with 78016804 relations and 62362109 unique ideals
  319. Tue Sep  6 11:52:33 2016  reduce to 77804449 relations and 58719058 ideals in 5 passes
  320. Tue Sep  6 11:52:33 2016  max relations containing the same ideal: 134
  321. Tue Sep  6 11:52:58 2016  removing 5406089 relations and 3406089 ideals in 2000000 cliques
  322. Tue Sep  6 11:53:00 2016  commencing in-memory singleton removal
  323. Tue Sep  6 11:53:05 2016  begin with 72398360 relations and 58719058 unique ideals
  324. Tue Sep  6 11:53:30 2016  reduce to 72177216 relations and 55086692 ideals in 6 passes
  325. Tue Sep  6 11:53:30 2016  max relations containing the same ideal: 128
  326. Tue Sep  6 11:53:53 2016  removing 5388916 relations and 3388916 ideals in 2000000 cliques
  327. Tue Sep  6 11:53:55 2016  commencing in-memory singleton removal
  328. Tue Sep  6 11:53:59 2016  begin with 66788300 relations and 55086692 unique ideals
  329. Tue Sep  6 11:54:22 2016  reduce to 66555559 relations and 51459259 ideals in 6 passes
  330. Tue Sep  6 11:54:22 2016  max relations containing the same ideal: 119
  331. Tue Sep  6 11:54:44 2016  removing 5381993 relations and 3381993 ideals in 2000000 cliques
  332. Tue Sep  6 11:54:46 2016  commencing in-memory singleton removal
  333. Tue Sep  6 11:54:49 2016  begin with 61173566 relations and 51459259 unique ideals
  334. Tue Sep  6 11:55:10 2016  reduce to 60925712 relations and 47822887 ideals in 6 passes
  335. Tue Sep  6 11:55:10 2016  max relations containing the same ideal: 113
  336. Tue Sep  6 11:55:29 2016  removing 5378786 relations and 3378786 ideals in 2000000 cliques
  337. Tue Sep  6 11:55:31 2016  commencing in-memory singleton removal
  338. Tue Sep  6 11:55:34 2016  begin with 55546926 relations and 47822887 unique ideals
  339. Tue Sep  6 11:55:56 2016  reduce to 55280546 relations and 44170207 ideals in 7 passes
  340. Tue Sep  6 11:55:56 2016  max relations containing the same ideal: 104
  341. Tue Sep  6 11:56:13 2016  removing 5381888 relations and 3381888 ideals in 2000000 cliques
  342. Tue Sep  6 11:56:15 2016  commencing in-memory singleton removal
  343. Tue Sep  6 11:56:18 2016  begin with 49898658 relations and 44170207 unique ideals
  344. Tue Sep  6 11:56:34 2016  reduce to 49609332 relations and 40490088 ideals in 6 passes
  345. Tue Sep  6 11:56:34 2016  max relations containing the same ideal: 96
  346. Tue Sep  6 11:56:50 2016  removing 5389434 relations and 3389434 ideals in 2000000 cliques
  347. Tue Sep  6 11:56:51 2016  commencing in-memory singleton removal
  348. Tue Sep  6 11:56:54 2016  begin with 44219898 relations and 40490088 unique ideals
  349. Tue Sep  6 11:57:07 2016  reduce to 43897504 relations and 36767318 ideals in 6 passes
  350. Tue Sep  6 11:57:07 2016  max relations containing the same ideal: 87
  351. Tue Sep  6 11:57:21 2016  removing 5404830 relations and 3404830 ideals in 2000000 cliques
  352. Tue Sep  6 11:57:23 2016  commencing in-memory singleton removal
  353. Tue Sep  6 11:57:25 2016  begin with 38492674 relations and 36767318 unique ideals
  354. Tue Sep  6 11:57:38 2016  reduce to 38122715 relations and 32978591 ideals in 7 passes
  355. Tue Sep  6 11:57:38 2016  max relations containing the same ideal: 80
  356. Tue Sep  6 11:57:50 2016  removing 5438665 relations and 3438665 ideals in 2000000 cliques
  357. Tue Sep  6 11:57:51 2016  commencing in-memory singleton removal
  358. Tue Sep  6 11:57:53 2016  begin with 32684050 relations and 32978591 unique ideals
  359. Tue Sep  6 11:58:04 2016  reduce to 32239936 relations and 29076576 ideals in 7 passes
  360. Tue Sep  6 11:58:04 2016  max relations containing the same ideal: 72
  361. Tue Sep  6 11:58:13 2016  removing 5496416 relations and 3496416 ideals in 2000000 cliques
  362. Tue Sep  6 11:58:15 2016  commencing in-memory singleton removal
  363. Tue Sep  6 11:58:16 2016  begin with 26743520 relations and 29076576 unique ideals
  364. Tue Sep  6 11:58:25 2016  reduce to 26168658 relations and 24975897 ideals in 8 passes
  365. Tue Sep  6 11:58:25 2016  max relations containing the same ideal: 63
  366. Tue Sep  6 11:58:33 2016  removing 970203 relations and 725288 ideals in 244915 cliques
  367. Tue Sep  6 11:58:34 2016  commencing in-memory singleton removal
  368. Tue Sep  6 11:58:35 2016  begin with 25198455 relations and 24975897 unique ideals
  369. Tue Sep  6 11:58:42 2016  reduce to 25162646 relations and 24214440 ideals in 7 passes
  370. Tue Sep  6 11:58:42 2016  max relations containing the same ideal: 62
  371. Tue Sep  6 11:58:52 2016  relations with 0 large ideals: 31276
  372. Tue Sep  6 11:58:52 2016  relations with 1 large ideals: 20480
  373. Tue Sep  6 11:58:52 2016  relations with 2 large ideals: 256630
  374. Tue Sep  6 11:58:52 2016  relations with 3 large ideals: 1372526
  375. Tue Sep  6 11:58:52 2016  relations with 4 large ideals: 3864043
  376. Tue Sep  6 11:58:52 2016  relations with 5 large ideals: 6375369
  377. Tue Sep  6 11:58:52 2016  relations with 6 large ideals: 6506113
  378. Tue Sep  6 11:58:52 2016  relations with 7+ large ideals: 6736209
  379. Tue Sep  6 11:58:52 2016  commencing 2-way merge
  380. Tue Sep  6 11:59:02 2016  reduce to 17332253 relation sets and 16384047 unique ideals
  381. Tue Sep  6 11:59:02 2016  commencing full merge
  382. Tue Sep  6 12:05:01 2016  memory use: 2118.5 MB
  383. Tue Sep  6 12:05:04 2016  found 7537669 cycles, need 7504247
  384. Tue Sep  6 12:05:04 2016  weight of 7504247 cycles is about 976071347 (130.07/cycle)
  385. Tue Sep  6 12:05:04 2016  distribution of cycle lengths:
  386. Tue Sep  6 12:05:04 2016  1 relations: 179852
  387. Tue Sep  6 12:05:04 2016  2 relations: 324199
  388. Tue Sep  6 12:05:04 2016  3 relations: 427168
  389. Tue Sep  6 12:05:04 2016  4 relations: 476392
  390. Tue Sep  6 12:05:04 2016  5 relations: 518622
  391. Tue Sep  6 12:05:04 2016  6 relations: 535937
  392. Tue Sep  6 12:05:04 2016  7 relations: 541602
  393. Tue Sep  6 12:05:04 2016  8 relations: 533330
  394. Tue Sep  6 12:05:04 2016  9 relations: 509151
  395. Tue Sep  6 12:05:04 2016  10+ relations: 3457994
  396. Tue Sep  6 12:05:04 2016  heaviest cycle: 28 relations
  397. Tue Sep  6 12:05:06 2016  commencing cycle optimization
  398. Tue Sep  6 12:05:21 2016  start with 73468008 relations
  399. Tue Sep  6 12:08:26 2016  pruned 4219470 relations
  400. Tue Sep  6 12:08:26 2016  memory use: 1798.4 MB
  401. Tue Sep  6 12:08:26 2016  distribution of cycle lengths:
  402. Tue Sep  6 12:08:26 2016  1 relations: 179852
  403. Tue Sep  6 12:08:26 2016  2 relations: 333386
  404. Tue Sep  6 12:08:26 2016  3 relations: 447157
  405. Tue Sep  6 12:08:26 2016  4 relations: 500388
  406. Tue Sep  6 12:08:26 2016  5 relations: 551764
  407. Tue Sep  6 12:08:26 2016  6 relations: 571110
  408. Tue Sep  6 12:08:26 2016  7 relations: 581092
  409. Tue Sep  6 12:08:26 2016  8 relations: 569848
  410. Tue Sep  6 12:08:26 2016  9 relations: 545072
  411. Tue Sep  6 12:08:26 2016  10+ relations: 3224578
  412. Tue Sep  6 12:08:26 2016  heaviest cycle: 28 relations
  413. Tue Sep  6 12:08:38 2016  RelProcTime: 6862
  414. Tue Sep  6 12:08:38 2016  
  415. Tue Sep  6 12:08:38 2016  commencing linear algebra
  416. Tue Sep  6 12:08:39 2016  read 7504247 cycles
  417. Tue Sep  6 12:08:55 2016  cycles contain 24759027 unique relations
  418. Tue Sep  6 12:13:07 2016  read 24759027 relations
  419. Tue Sep  6 12:13:44 2016  using 20 quadratic characters above 4294917295
  420. Tue Sep  6 12:15:14 2016  building initial matrix
  421. Tue Sep  6 12:19:59 2016  memory use: 3238.5 MB
  422. Tue Sep  6 12:20:12 2016  read 7504247 cycles
  423. Tue Sep  6 12:20:12 2016  matrix is 7504070 x 7504247 (3728.6 MB) with weight 1091328715 (145.43/col)
  424. Tue Sep  6 12:20:12 2016  sparse part has weight 894874845 (119.25/col)
  425. Tue Sep  6 12:21:25 2016  filtering completed in 2 passes
  426. Tue Sep  6 12:21:26 2016  matrix is 7503985 x 7504162 (3728.6 MB) with weight 1091324475 (145.43/col)
  427. Tue Sep  6 12:21:26 2016  sparse part has weight 894872975 (119.25/col)
  428. Tue Sep  6 12:21:51 2016  matrix starts at (0, 0)
  429. Tue Sep  6 12:21:51 2016  matrix is 7503985 x 7504162 (3728.6 MB) with weight 1091324475 (145.43/col)
  430. Tue Sep  6 12:21:51 2016  sparse part has weight 894872975 (119.25/col)
  431. Tue Sep  6 12:21:51 2016  saving the first 48 matrix rows for later
  432. Tue Sep  6 12:21:52 2016  matrix includes 64 packed rows
  433. Tue Sep  6 12:21:53 2016  matrix is 7503937 x 7504162 (3590.1 MB) with weight 937965523 (124.99/col)
  434. Tue Sep  6 12:21:53 2016  sparse part has weight 866085753 (115.41/col)
  435. Tue Sep  6 12:21:53 2016  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
  436. Tue Sep  6 12:22:34 2016  commencing Lanczos iteration (4 threads)
  437. Tue Sep  6 12:22:34 2016  memory use: 3055.6 MB
  438. Tue Sep  6 12:23:04 2016  linear algebra at 0.0%, ETA 38h34m
  439. Tue Sep  6 12:23:13 2016  checkpointing every 200000 dimensions
  440. Thu Sep  8 03:17:46 2016  lanczos halted after 118669 iterations (dim = 7503935)
  441. Thu Sep  8 03:17:55 2016  recovered 37 nontrivial dependencies
  442. Thu Sep  8 03:17:56 2016  BLanczosTime: 140958
  443. Thu Sep  8 03:17:56 2016  
  444. Thu Sep  8 03:17:56 2016  commencing square root phase
  445. Thu Sep  8 03:17:56 2016  handling dependencies 1 to 64
  446. Thu Sep  8 03:17:56 2016  reading relations for dependency 1
  447. Thu Sep  8 03:17:58 2016  read 3753232 cycles
  448. Thu Sep  8 03:18:04 2016  cycles contain 12377172 unique relations
  449. Thu Sep  8 03:21:27 2016  read 12377172 relations
  450. Thu Sep  8 03:22:13 2016  multiplying 12377172 relations
  451. Thu Sep  8 03:28:58 2016  multiply complete, coefficients have about 321.01 million bits
  452. Thu Sep  8 03:28:59 2016  initial square root is modulo 575473
  453. Thu Sep  8 03:35:47 2016  sqrtTime: 1071
  454. Thu Sep  8 03:35:47 2016  p54 factor: 116644931381195969238436567697114888845476708629143451
  455. Thu Sep  8 03:35:47 2016  p158 factor: 16211649818346561924134621758882290253653724918163983782971342170279375283070146054216952783705234429922846610947880083221909916997556370430823879689532371681
  456. Thu Sep  8 03:35:47 2016  elapsed time 41:21:33
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