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P54_47461_5_m1

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Dec 12th, 2016
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  1. Sun Dec 11 19:43:04 2016
  2. Sun Dec 11 19:43:04 2016
  3. Sun Dec 11 19:43:04 2016 Msieve v. 1.53 (SVN unknown)
  4. Sun Dec 11 19:43:04 2016 random seeds: cce2c63c 4b0564b9
  5. Sun Dec 11 19:43:04 2016 factoring 311995335003706332076228084556993301345975003563088097938308672943832099534468721041847413849699003190797689768600358824746318143198955370165739288740380845841287312017160510640113708741 (186 digits)
  6. Sun Dec 11 19:43:05 2016 searching for 15-digit factors
  7. Sun Dec 11 19:43:06 2016 commencing number field sieve (186-digit input)
  8. Sun Dec 11 19:43:06 2016 R0: 474618153564570748818941261819047245816176402854534393
  9. Sun Dec 11 19:43:06 2016 R1: -1
  10. Sun Dec 11 19:43:06 2016 A0: 1
  11. Sun Dec 11 19:43:06 2016 A1: 1
  12. Sun Dec 11 19:43:06 2016 A2: 1
  13. Sun Dec 11 19:43:06 2016 A3: 1
  14. Sun Dec 11 19:43:06 2016 A4: 1
  15. Sun Dec 11 19:43:06 2016 skew 1.00, size 6.926e-22, alpha 1.694, combined = 4.607e-13 rroots = 0
  16. Sun Dec 11 19:43:06 2016
  17. Sun Dec 11 19:43:06 2016 commencing relation filtering
  18. Sun Dec 11 19:43:06 2016 setting target matrix density to 130.0
  19. Sun Dec 11 19:43:06 2016 estimated available RAM is 16335.3 MB
  20. Sun Dec 11 19:43:06 2016 commencing duplicate removal, pass 1
  21. Sun Dec 11 19:46:24 2016 error -9 reading relation 15538346
  22. Sun Dec 11 19:50:53 2016 error -9 reading relation 36767120
  23. Sun Dec 11 19:52:35 2016 error -5 reading relation 44882406
  24. Sun Dec 11 19:59:18 2016 error -9 reading relation 76662699
  25. Sun Dec 11 19:59:28 2016 error -5 reading relation 77406162
  26. Sun Dec 11 20:00:35 2016 error -9 reading relation 82554162
  27. Sun Dec 11 20:02:08 2016 error -9 reading relation 89930725
  28. Sun Dec 11 20:02:14 2016 error -5 reading relation 90410150
  29. Sun Dec 11 20:02:27 2016 error -9 reading relation 91459679
  30. Sun Dec 11 20:02:38 2016 error -9 reading relation 92262221
  31. Sun Dec 11 20:03:42 2016 error -15 reading relation 97314514
  32. Sun Dec 11 20:03:56 2016 error -9 reading relation 98350479
  33. Sun Dec 11 20:05:47 2016 error -9 reading relation 107187740
  34. Sun Dec 11 20:08:54 2016 error -9 reading relation 121562343
  35. Sun Dec 11 20:16:55 2016 error -9 reading relation 159263154
  36. Sun Dec 11 20:16:57 2016 error -15 reading relation 159398801
  37. Sun Dec 11 20:19:17 2016 error -15 reading relation 170384799
  38. Sun Dec 11 20:19:56 2016 error -9 reading relation 173456332
  39. Sun Dec 11 20:20:29 2016 error -1 reading relation 176017084
  40. Sun Dec 11 20:20:45 2016 error -9 reading relation 177290094
  41. Sun Dec 11 20:21:37 2016 error -9 reading relation 181326703
  42. Sun Dec 11 20:21:57 2016 error -1 reading relation 182819414
  43. Sun Dec 11 20:22:48 2016 error -9 reading relation 186730331
  44. Sun Dec 11 20:22:48 2016 error -9 reading relation 186732205
  45. Sun Dec 11 20:22:50 2016 error -9 reading relation 186857312
  46. Sun Dec 11 20:22:50 2016 error -5 reading relation 186892863
  47. Sun Dec 11 20:22:54 2016 error -9 reading relation 187171994
  48. Sun Dec 11 20:22:54 2016 error -9 reading relation 187174002
  49. Sun Dec 11 20:23:08 2016 error -9 reading relation 188290863
  50. Sun Dec 11 20:24:46 2016 error -5 reading relation 195936345
  51. Sun Dec 11 20:26:03 2016 error -9 reading relation 202010856
  52. Sun Dec 11 20:27:32 2016 error -15 reading relation 209032857
  53. Sun Dec 11 20:27:33 2016 error -9 reading relation 209091017
  54. Sun Dec 11 20:29:11 2016 error -5 reading relation 216775527
  55. Sun Dec 11 20:29:36 2016 error -9 reading relation 218796345
  56. Sun Dec 11 20:29:59 2016 error -1 reading relation 220534560
  57. Sun Dec 11 20:31:06 2016 error -9 reading relation 225057665
  58. Sun Dec 11 20:31:19 2016 error -9 reading relation 225996404
  59. Sun Dec 11 20:31:25 2016 error -9 reading relation 226412583
  60. Sun Dec 11 20:31:41 2016 error -15 reading relation 227565767
  61. Sun Dec 11 20:31:51 2016 error -15 reading relation 228305835
  62. Sun Dec 11 20:32:06 2016 error -9 reading relation 229403081
  63. Sun Dec 11 20:33:59 2016 error -9 reading relation 238464010
  64. Sun Dec 11 20:34:30 2016 error -9 reading relation 240990098
  65. Sun Dec 11 20:34:38 2016 error -9 reading relation 241655129
  66. Sun Dec 11 20:35:26 2016 error -9 reading relation 245500105
  67. Sun Dec 11 20:35:33 2016 error -9 reading relation 246073705
  68. Sun Dec 11 20:35:37 2016 error -9 reading relation 246327991
  69. Sun Dec 11 20:35:46 2016 error -9 reading relation 247045855
  70. Sun Dec 11 20:35:46 2016 error -9 reading relation 247078353
  71. Sun Dec 11 20:35:47 2016 error -9 reading relation 247136399
  72. Sun Dec 11 20:35:49 2016 error -15 reading relation 247332997
  73. Sun Dec 11 20:35:50 2016 error -9 reading relation 247363880
  74. Sun Dec 11 20:35:52 2016 error -15 reading relation 247508765
  75. Sun Dec 11 20:35:52 2016 error -5 reading relation 247554152
  76. Sun Dec 11 20:35:54 2016 error -9 reading relation 247729717
  77. Sun Dec 11 20:36:01 2016 error -9 reading relation 248252953
  78. Sun Dec 11 20:36:14 2016 error -15 reading relation 249293119
  79. Sun Dec 11 20:36:18 2016 error -5 reading relation 249604751
  80. Sun Dec 11 20:36:19 2016 error -9 reading relation 249651608
  81. Sun Dec 11 20:36:21 2016 error -9 reading relation 249799041
  82. Sun Dec 11 20:36:55 2016 error -1 reading relation 252512500
  83. Sun Dec 11 20:37:32 2016 error -5 reading relation 255389374
  84. Sun Dec 11 20:37:49 2016 error -15 reading relation 256774373
  85. Sun Dec 11 20:38:25 2016 error -9 reading relation 259572287
  86. Sun Dec 11 20:38:27 2016 error -15 reading relation 259769757
  87. Sun Dec 11 20:38:41 2016 error -9 reading relation 260812911
  88. Sun Dec 11 20:38:56 2016 error -9 reading relation 261987456
  89. Sun Dec 11 20:39:01 2016 error -9 reading relation 262431674
  90. Sun Dec 11 20:39:03 2016 error -5 reading relation 262567341
  91. Sun Dec 11 20:39:35 2016 error -9 reading relation 265151130
  92. Sun Dec 11 20:39:48 2016 error -9 reading relation 266267614
  93. Sun Dec 11 20:39:51 2016 error -9 reading relation 266480768
  94. Sun Dec 11 20:39:52 2016 error -1 reading relation 266513805
  95. Sun Dec 11 20:39:52 2016 error -1 reading relation 266571018
  96. Sun Dec 11 20:39:55 2016 error -9 reading relation 266749807
  97. Sun Dec 11 20:39:55 2016 error -15 reading relation 266769143
  98. Sun Dec 11 20:39:59 2016 error -5 reading relation 267066078
  99. Sun Dec 11 20:40:01 2016 error -9 reading relation 267197192
  100. Sun Dec 11 20:40:01 2016 error -1 reading relation 267224316
  101. Sun Dec 11 20:40:27 2016 error -1 reading relation 269228859
  102. Sun Dec 11 20:40:27 2016 error -9 reading relation 269234376
  103. Sun Dec 11 20:40:27 2016 error -9 reading relation 269238276
  104. Sun Dec 11 20:40:27 2016 error -9 reading relation 269240495
  105. Sun Dec 11 20:40:29 2016 error -9 reading relation 269406129
  106. Sun Dec 11 20:40:29 2016 error -9 reading relation 269408245
  107. Sun Dec 11 20:40:30 2016 error -9 reading relation 269469578
  108. Sun Dec 11 20:40:31 2016 error -9 reading relation 269505315
  109. Sun Dec 11 20:40:32 2016 error -5 reading relation 269569567
  110. Sun Dec 11 20:40:44 2016 error -9 reading relation 270517985
  111. Sun Dec 11 20:41:19 2016 error -15 reading relation 273341562
  112. Sun Dec 11 20:42:36 2016 skipped 747 relations with b > 2^32
  113. Sun Dec 11 20:42:36 2016 skipped 36 relations with composite factors
  114. Sun Dec 11 20:42:36 2016 found 48269826 hash collisions in 279028537 relations
  115. Sun Dec 11 20:42:36 2016 commencing duplicate removal, pass 2
  116. Sun Dec 11 20:48:08 2016 found 43468968 duplicates and 235559569 unique relations
  117. Sun Dec 11 20:48:08 2016 memory use: 1321.5 MB
  118. Sun Dec 11 20:48:09 2016 reading ideals above 179896320
  119. Sun Dec 11 20:48:09 2016 commencing singleton removal, initial pass
  120. Sun Dec 11 21:26:22 2016 memory use: 3012.0 MB
  121. Sun Dec 11 21:26:22 2016 reading all ideals from disk
  122. Sun Dec 11 21:26:53 2016 memory use: 3716.7 MB
  123. Sun Dec 11 21:27:01 2016 commencing in-memory singleton removal
  124. Sun Dec 11 21:27:08 2016 begin with 235559569 relations and 159184261 unique ideals
  125. Sun Dec 11 21:28:14 2016 reduce to 178843380 relations and 98207552 ideals in 10 passes
  126. Sun Dec 11 21:28:14 2016 max relations containing the same ideal: 54
  127. Sun Dec 11 21:28:27 2016 reading ideals above 720000
  128. Sun Dec 11 21:28:28 2016 commencing singleton removal, initial pass
  129. Sun Dec 11 22:03:06 2016 memory use: 3012.0 MB
  130. Sun Dec 11 22:03:06 2016 reading all ideals from disk
  131. Sun Dec 11 22:04:26 2016 memory use: 6890.2 MB
  132. Sun Dec 11 22:04:44 2016 keeping 117338347 ideals with weight <= 200, target excess is 918198
  133. Sun Dec 11 22:05:05 2016 commencing in-memory singleton removal
  134. Sun Dec 11 22:05:19 2016 begin with 178843380 relations and 117338347 unique ideals
  135. Sun Dec 11 22:06:32 2016 reduce to 178840799 relations and 117335763 ideals in 5 passes
  136. Sun Dec 11 22:06:32 2016 max relations containing the same ideal: 200
  137. Sun Dec 11 22:07:38 2016 removing 8273954 relations and 6273954 ideals in 2000000 cliques
  138. Sun Dec 11 22:07:41 2016 commencing in-memory singleton removal
  139. Sun Dec 11 22:07:54 2016 begin with 170566845 relations and 117335763 unique ideals
  140. Sun Dec 11 22:09:32 2016 reduce to 170250659 relations and 110740850 ideals in 7 passes
  141. Sun Dec 11 22:09:32 2016 max relations containing the same ideal: 200
  142. Sun Dec 11 22:10:35 2016 removing 6438657 relations and 4438657 ideals in 2000000 cliques
  143. Sun Dec 11 22:10:38 2016 commencing in-memory singleton removal
  144. Sun Dec 11 22:10:50 2016 begin with 163812002 relations and 110740850 unique ideals
  145. Sun Dec 11 22:12:11 2016 reduce to 163603457 relations and 106090949 ideals in 6 passes
  146. Sun Dec 11 22:12:11 2016 max relations containing the same ideal: 197
  147. Sun Dec 11 22:13:12 2016 removing 5943291 relations and 3943291 ideals in 2000000 cliques
  148. Sun Dec 11 22:13:14 2016 commencing in-memory singleton removal
  149. Sun Dec 11 22:13:26 2016 begin with 157660166 relations and 106090949 unique ideals
  150. Sun Dec 11 22:14:44 2016 reduce to 157487775 relations and 101973071 ideals in 6 passes
  151. Sun Dec 11 22:14:44 2016 max relations containing the same ideal: 194
  152. Sun Dec 11 22:15:43 2016 removing 5676464 relations and 3676464 ideals in 2000000 cliques
  153. Sun Dec 11 22:15:45 2016 commencing in-memory singleton removal
  154. Sun Dec 11 22:15:57 2016 begin with 151811311 relations and 101973071 unique ideals
  155. Sun Dec 11 22:17:11 2016 reduce to 151657535 relations and 98140929 ideals in 6 passes
  156. Sun Dec 11 22:17:11 2016 max relations containing the same ideal: 189
  157. Sun Dec 11 22:18:07 2016 removing 5496886 relations and 3496886 ideals in 2000000 cliques
  158. Sun Dec 11 22:18:10 2016 commencing in-memory singleton removal
  159. Sun Dec 11 22:18:21 2016 begin with 146160649 relations and 98140929 unique ideals
  160. Sun Dec 11 22:19:32 2016 reduce to 146019414 relations and 94500907 ideals in 6 passes
  161. Sun Dec 11 22:19:32 2016 max relations containing the same ideal: 186
  162. Sun Dec 11 22:20:26 2016 removing 5365902 relations and 3365902 ideals in 2000000 cliques
  163. Sun Dec 11 22:20:29 2016 commencing in-memory singleton removal
  164. Sun Dec 11 22:20:39 2016 begin with 140653512 relations and 94500907 unique ideals
  165. Sun Dec 11 22:21:47 2016 reduce to 140521079 relations and 91000799 ideals in 6 passes
  166. Sun Dec 11 22:21:47 2016 max relations containing the same ideal: 183
  167. Sun Dec 11 22:22:40 2016 removing 5263083 relations and 3263083 ideals in 2000000 cliques
  168. Sun Dec 11 22:22:43 2016 commencing in-memory singleton removal
  169. Sun Dec 11 22:22:53 2016 begin with 135257996 relations and 91000799 unique ideals
  170. Sun Dec 11 22:23:47 2016 reduce to 135131841 relations and 87609724 ideals in 5 passes
  171. Sun Dec 11 22:23:47 2016 max relations containing the same ideal: 179
  172. Sun Dec 11 22:24:37 2016 removing 5181314 relations and 3181314 ideals in 2000000 cliques
  173. Sun Dec 11 22:24:40 2016 commencing in-memory singleton removal
  174. Sun Dec 11 22:24:49 2016 begin with 129950527 relations and 87609724 unique ideals
  175. Sun Dec 11 22:25:41 2016 reduce to 129828794 relations and 84304892 ideals in 5 passes
  176. Sun Dec 11 22:25:41 2016 max relations containing the same ideal: 177
  177. Sun Dec 11 22:26:30 2016 removing 5111979 relations and 3111979 ideals in 2000000 cliques
  178. Sun Dec 11 22:26:32 2016 commencing in-memory singleton removal
  179. Sun Dec 11 22:26:41 2016 begin with 124716815 relations and 84304892 unique ideals
  180. Sun Dec 11 22:27:31 2016 reduce to 124598328 relations and 81072614 ideals in 5 passes
  181. Sun Dec 11 22:27:31 2016 max relations containing the same ideal: 173
  182. Sun Dec 11 22:28:17 2016 removing 5052109 relations and 3052109 ideals in 2000000 cliques
  183. Sun Dec 11 22:28:20 2016 commencing in-memory singleton removal
  184. Sun Dec 11 22:28:29 2016 begin with 119546219 relations and 81072614 unique ideals
  185. Sun Dec 11 22:29:25 2016 reduce to 119429286 relations and 77901785 ideals in 6 passes
  186. Sun Dec 11 22:29:25 2016 max relations containing the same ideal: 169
  187. Sun Dec 11 22:30:09 2016 removing 4999153 relations and 2999153 ideals in 2000000 cliques
  188. Sun Dec 11 22:30:12 2016 commencing in-memory singleton removal
  189. Sun Dec 11 22:30:20 2016 begin with 114430133 relations and 77901785 unique ideals
  190. Sun Dec 11 22:31:14 2016 reduce to 114313925 relations and 74784485 ideals in 6 passes
  191. Sun Dec 11 22:31:14 2016 max relations containing the same ideal: 165
  192. Sun Dec 11 22:31:57 2016 removing 4952702 relations and 2952702 ideals in 2000000 cliques
  193. Sun Dec 11 22:31:59 2016 commencing in-memory singleton removal
  194. Sun Dec 11 22:32:07 2016 begin with 109361223 relations and 74784485 unique ideals
  195. Sun Dec 11 22:32:50 2016 reduce to 109245707 relations and 71714333 ideals in 5 passes
  196. Sun Dec 11 22:32:50 2016 max relations containing the same ideal: 160
  197. Sun Dec 11 22:33:30 2016 removing 4911788 relations and 2911788 ideals in 2000000 cliques
  198. Sun Dec 11 22:33:33 2016 commencing in-memory singleton removal
  199. Sun Dec 11 22:33:40 2016 begin with 104333919 relations and 71714333 unique ideals
  200. Sun Dec 11 22:34:21 2016 reduce to 104218557 relations and 68685170 ideals in 5 passes
  201. Sun Dec 11 22:34:21 2016 max relations containing the same ideal: 157
  202. Sun Dec 11 22:34:59 2016 removing 4876529 relations and 2876529 ideals in 2000000 cliques
  203. Sun Dec 11 22:35:02 2016 commencing in-memory singleton removal
  204. Sun Dec 11 22:35:09 2016 begin with 99342028 relations and 68685170 unique ideals
  205. Sun Dec 11 22:35:48 2016 reduce to 99226526 relations and 65691011 ideals in 5 passes
  206. Sun Dec 11 22:35:48 2016 max relations containing the same ideal: 154
  207. Sun Dec 11 22:36:24 2016 removing 4843185 relations and 2843185 ideals in 2000000 cliques
  208. Sun Dec 11 22:36:26 2016 commencing in-memory singleton removal
  209. Sun Dec 11 22:36:33 2016 begin with 94383341 relations and 65691011 unique ideals
  210. Sun Dec 11 22:37:17 2016 reduce to 94265619 relations and 62727873 ideals in 6 passes
  211. Sun Dec 11 22:37:17 2016 max relations containing the same ideal: 145
  212. Sun Dec 11 22:37:51 2016 removing 4811841 relations and 2811841 ideals in 2000000 cliques
  213. Sun Dec 11 22:37:53 2016 commencing in-memory singleton removal
  214. Sun Dec 11 22:38:00 2016 begin with 89453778 relations and 62727873 unique ideals
  215. Sun Dec 11 22:38:34 2016 reduce to 89334141 relations and 59793963 ideals in 5 passes
  216. Sun Dec 11 22:38:34 2016 max relations containing the same ideal: 141
  217. Sun Dec 11 22:39:07 2016 removing 4785596 relations and 2785596 ideals in 2000000 cliques
  218. Sun Dec 11 22:39:09 2016 commencing in-memory singleton removal
  219. Sun Dec 11 22:39:15 2016 begin with 84548545 relations and 59793963 unique ideals
  220. Sun Dec 11 22:39:47 2016 reduce to 84426534 relations and 56883898 ideals in 5 passes
  221. Sun Dec 11 22:39:47 2016 max relations containing the same ideal: 137
  222. Sun Dec 11 22:40:18 2016 removing 4760549 relations and 2760549 ideals in 2000000 cliques
  223. Sun Dec 11 22:40:20 2016 commencing in-memory singleton removal
  224. Sun Dec 11 22:40:26 2016 begin with 79665985 relations and 56883898 unique ideals
  225. Sun Dec 11 22:40:56 2016 reduce to 79541243 relations and 53995888 ideals in 5 passes
  226. Sun Dec 11 22:40:56 2016 max relations containing the same ideal: 131
  227. Sun Dec 11 22:41:25 2016 removing 4737008 relations and 2737008 ideals in 2000000 cliques
  228. Sun Dec 11 22:41:27 2016 commencing in-memory singleton removal
  229. Sun Dec 11 22:41:32 2016 begin with 74804235 relations and 53995888 unique ideals
  230. Sun Dec 11 22:42:00 2016 reduce to 74675355 relations and 51127145 ideals in 5 passes
  231. Sun Dec 11 22:42:00 2016 max relations containing the same ideal: 125
  232. Sun Dec 11 22:42:28 2016 removing 4714997 relations and 2714997 ideals in 2000000 cliques
  233. Sun Dec 11 22:42:30 2016 commencing in-memory singleton removal
  234. Sun Dec 11 22:42:35 2016 begin with 69960358 relations and 51127145 unique ideals
  235. Sun Dec 11 22:43:01 2016 reduce to 69825941 relations and 48274696 ideals in 5 passes
  236. Sun Dec 11 22:43:01 2016 max relations containing the same ideal: 117
  237. Sun Dec 11 22:43:27 2016 removing 4696921 relations and 2696921 ideals in 2000000 cliques
  238. Sun Dec 11 22:43:29 2016 commencing in-memory singleton removal
  239. Sun Dec 11 22:43:33 2016 begin with 65129020 relations and 48274696 unique ideals
  240. Sun Dec 11 22:43:57 2016 reduce to 64989807 relations and 45435180 ideals in 5 passes
  241. Sun Dec 11 22:43:57 2016 max relations containing the same ideal: 112
  242. Sun Dec 11 22:44:21 2016 removing 4681223 relations and 2681223 ideals in 2000000 cliques
  243. Sun Dec 11 22:44:23 2016 commencing in-memory singleton removal
  244. Sun Dec 11 22:44:27 2016 begin with 60308584 relations and 45435180 unique ideals
  245. Sun Dec 11 22:44:49 2016 reduce to 60162566 relations and 42604258 ideals in 5 passes
  246. Sun Dec 11 22:44:49 2016 max relations containing the same ideal: 105
  247. Sun Dec 11 22:45:11 2016 removing 4665964 relations and 2665964 ideals in 2000000 cliques
  248. Sun Dec 11 22:45:13 2016 commencing in-memory singleton removal
  249. Sun Dec 11 22:45:16 2016 begin with 55496602 relations and 42604258 unique ideals
  250. Sun Dec 11 22:45:37 2016 reduce to 55342014 relations and 39779483 ideals in 5 passes
  251. Sun Dec 11 22:45:37 2016 max relations containing the same ideal: 100
  252. Sun Dec 11 22:45:57 2016 removing 4652195 relations and 2652195 ideals in 2000000 cliques
  253. Sun Dec 11 22:45:58 2016 commencing in-memory singleton removal
  254. Sun Dec 11 22:46:02 2016 begin with 50689819 relations and 39779483 unique ideals
  255. Sun Dec 11 22:46:20 2016 reduce to 50525286 relations and 36957997 ideals in 5 passes
  256. Sun Dec 11 22:46:20 2016 max relations containing the same ideal: 97
  257. Sun Dec 11 22:46:38 2016 removing 4638428 relations and 2638428 ideals in 2000000 cliques
  258. Sun Dec 11 22:46:40 2016 commencing in-memory singleton removal
  259. Sun Dec 11 22:46:43 2016 begin with 45886858 relations and 36957997 unique ideals
  260. Sun Dec 11 22:47:03 2016 reduce to 45708841 relations and 34136241 ideals in 6 passes
  261. Sun Dec 11 22:47:03 2016 max relations containing the same ideal: 92
  262. Sun Dec 11 22:47:19 2016 removing 4628365 relations and 2628365 ideals in 2000000 cliques
  263. Sun Dec 11 22:47:21 2016 commencing in-memory singleton removal
  264. Sun Dec 11 22:47:23 2016 begin with 41080476 relations and 34136241 unique ideals
  265. Sun Dec 11 22:47:38 2016 reduce to 40885217 relations and 31306012 ideals in 5 passes
  266. Sun Dec 11 22:47:38 2016 max relations containing the same ideal: 82
  267. Sun Dec 11 22:47:52 2016 removing 4619319 relations and 2619319 ideals in 2000000 cliques
  268. Sun Dec 11 22:47:54 2016 commencing in-memory singleton removal
  269. Sun Dec 11 22:47:56 2016 begin with 36265898 relations and 31306012 unique ideals
  270. Sun Dec 11 22:48:09 2016 reduce to 36047236 relations and 28460010 ideals in 5 passes
  271. Sun Dec 11 22:48:09 2016 max relations containing the same ideal: 74
  272. Sun Dec 11 22:48:22 2016 removing 4620191 relations and 2620191 ideals in 2000000 cliques
  273. Sun Dec 11 22:48:23 2016 commencing in-memory singleton removal
  274. Sun Dec 11 22:48:25 2016 begin with 31427045 relations and 28460010 unique ideals
  275. Sun Dec 11 22:48:38 2016 reduce to 31171446 relations and 25573728 ideals in 6 passes
  276. Sun Dec 11 22:48:38 2016 max relations containing the same ideal: 68
  277. Sun Dec 11 22:48:49 2016 removing 4632366 relations and 2632366 ideals in 2000000 cliques
  278. Sun Dec 11 22:48:50 2016 commencing in-memory singleton removal
  279. Sun Dec 11 22:48:52 2016 begin with 26539080 relations and 25573728 unique ideals
  280. Sun Dec 11 22:49:04 2016 reduce to 26223037 relations and 22610099 ideals in 7 passes
  281. Sun Dec 11 22:49:04 2016 max relations containing the same ideal: 62
  282. Sun Dec 11 22:49:14 2016 removing 4670915 relations and 2670915 ideals in 2000000 cliques
  283. Sun Dec 11 22:49:15 2016 commencing in-memory singleton removal
  284. Sun Dec 11 22:49:16 2016 begin with 21552122 relations and 22610099 unique ideals
  285. Sun Dec 11 22:49:28 2016 reduce to 21121949 relations and 19484189 ideals in 8 passes
  286. Sun Dec 11 22:49:28 2016 max relations containing the same ideal: 55
  287. Sun Dec 11 22:49:35 2016 removing 1592437 relations and 1019787 ideals in 572650 cliques
  288. Sun Dec 11 22:49:36 2016 commencing in-memory singleton removal
  289. Sun Dec 11 22:49:37 2016 begin with 19529512 relations and 19484189 unique ideals
  290. Sun Dec 11 22:49:44 2016 reduce to 19381843 relations and 18312449 ideals in 6 passes
  291. Sun Dec 11 22:49:44 2016 max relations containing the same ideal: 50
  292. Sun Dec 11 22:49:54 2016 relations with 0 large ideals: 69780
  293. Sun Dec 11 22:49:54 2016 relations with 1 large ideals: 32790
  294. Sun Dec 11 22:49:54 2016 relations with 2 large ideals: 355414
  295. Sun Dec 11 22:49:54 2016 relations with 3 large ideals: 1614744
  296. Sun Dec 11 22:49:54 2016 relations with 4 large ideals: 3854239
  297. Sun Dec 11 22:49:54 2016 relations with 5 large ideals: 5796334
  298. Sun Dec 11 22:49:54 2016 relations with 6 large ideals: 4341214
  299. Sun Dec 11 22:49:54 2016 relations with 7+ large ideals: 3317328
  300. Sun Dec 11 22:49:54 2016 commencing 2-way merge
  301. Sun Dec 11 22:50:03 2016 reduce to 14591619 relation sets and 13522225 unique ideals
  302. Sun Dec 11 22:50:03 2016 commencing full merge
  303. Sun Dec 11 22:54:44 2016 memory use: 1572.4 MB
  304. Sun Dec 11 22:54:46 2016 found 6090693 cycles, need 6078425
  305. Sun Dec 11 22:54:46 2016 weight of 6078425 cycles is about 790933066 (130.12/cycle)
  306. Sun Dec 11 22:54:46 2016 distribution of cycle lengths:
  307. Sun Dec 11 22:54:46 2016 1 relations: 117051
  308. Sun Dec 11 22:54:46 2016 2 relations: 201513
  309. Sun Dec 11 22:54:46 2016 3 relations: 304216
  310. Sun Dec 11 22:54:46 2016 4 relations: 365133
  311. Sun Dec 11 22:54:46 2016 5 relations: 407409
  312. Sun Dec 11 22:54:46 2016 6 relations: 429359
  313. Sun Dec 11 22:54:46 2016 7 relations: 437546
  314. Sun Dec 11 22:54:46 2016 8 relations: 430871
  315. Sun Dec 11 22:54:46 2016 9 relations: 412814
  316. Sun Dec 11 22:54:46 2016 10+ relations: 2972513
  317. Sun Dec 11 22:54:46 2016 heaviest cycle: 28 relations
  318. Sun Dec 11 22:54:47 2016 commencing cycle optimization
  319. Sun Dec 11 22:54:59 2016 start with 62660809 relations
  320. Sun Dec 11 22:58:07 2016 pruned 4530966 relations
  321. Sun Dec 11 22:58:07 2016 memory use: 1439.2 MB
  322. Sun Dec 11 22:58:07 2016 distribution of cycle lengths:
  323. Sun Dec 11 22:58:07 2016 1 relations: 117051
  324. Sun Dec 11 22:58:07 2016 2 relations: 208651
  325. Sun Dec 11 22:58:07 2016 3 relations: 320968
  326. Sun Dec 11 22:58:07 2016 4 relations: 388568
  327. Sun Dec 11 22:58:07 2016 5 relations: 440986
  328. Sun Dec 11 22:58:07 2016 6 relations: 466668
  329. Sun Dec 11 22:58:07 2016 7 relations: 480787
  330. Sun Dec 11 22:58:07 2016 8 relations: 470460
  331. Sun Dec 11 22:58:07 2016 9 relations: 450338
  332. Sun Dec 11 22:58:07 2016 10+ relations: 2733948
  333. Sun Dec 11 22:58:07 2016 heaviest cycle: 28 relations
  334. Sun Dec 11 22:58:15 2016 RelProcTime: 11709
  335. Sun Dec 11 22:58:15 2016
  336. Sun Dec 11 22:58:15 2016 commencing linear algebra
  337. Sun Dec 11 22:58:16 2016 read 6078425 cycles
  338. Sun Dec 11 22:58:31 2016 cycles contain 18956971 unique relations
  339. Sun Dec 11 23:04:03 2016 read 18956971 relations
  340. Sun Dec 11 23:04:47 2016 using 20 quadratic characters above 4294917295
  341. Sun Dec 11 23:06:03 2016 building initial matrix
  342. Sun Dec 11 23:10:24 2016 memory use: 2436.9 MB
  343. Sun Dec 11 23:10:47 2016 read 6078425 cycles
  344. Sun Dec 11 23:10:49 2016 matrix is 6078248 x 6078425 (2981.5 MB) with weight 853570196 (140.43/col)
  345. Sun Dec 11 23:10:49 2016 sparse part has weight 714714312 (117.58/col)
  346. Sun Dec 11 23:12:19 2016 filtering completed in 2 passes
  347. Sun Dec 11 23:12:20 2016 matrix is 6078192 x 6078369 (2981.5 MB) with weight 853567770 (140.43/col)
  348. Sun Dec 11 23:12:20 2016 sparse part has weight 714713169 (117.58/col)
  349. Sun Dec 11 23:12:52 2016 matrix starts at (0, 0)
  350. Sun Dec 11 23:12:54 2016 matrix is 6078192 x 6078369 (2981.5 MB) with weight 853567770 (140.43/col)
  351. Sun Dec 11 23:12:54 2016 sparse part has weight 714713169 (117.58/col)
  352. Sun Dec 11 23:12:54 2016 saving the first 48 matrix rows for later
  353. Sun Dec 11 23:12:56 2016 matrix includes 64 packed rows
  354. Sun Dec 11 23:12:57 2016 matrix is 6078144 x 6078369 (2855.6 MB) with weight 738318197 (121.47/col)
  355. Sun Dec 11 23:12:57 2016 sparse part has weight 687796648 (113.15/col)
  356. Sun Dec 11 23:12:57 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  357. Sun Dec 11 23:13:38 2016 commencing Lanczos iteration (8 threads)
  358. Sun Dec 11 23:13:38 2016 memory use: 2420.1 MB
  359. Sun Dec 11 23:14:03 2016 linear algebra at 0.0%, ETA 26h38m
  360. Sun Dec 11 23:14:11 2016 checkpointing every 230000 dimensions
  361. Tue Dec 13 02:26:57 2016 lanczos halted after 96117 iterations (dim = 6078137)
  362. Tue Dec 13 02:27:06 2016 recovered 33 nontrivial dependencies
  363. Tue Dec 13 02:27:10 2016 BLanczosTime: 98935
  364. Tue Dec 13 02:27:10 2016
  365. Tue Dec 13 02:27:10 2016 commencing square root phase
  366. Tue Dec 13 02:27:10 2016 handling dependencies 1 to 64
  367. Tue Dec 13 02:27:10 2016 reading relations for dependency 1
  368. Tue Dec 13 02:27:25 2016 read 3040002 cycles
  369. Tue Dec 13 02:27:31 2016 cycles contain 9480936 unique relations
  370. Tue Dec 13 02:52:25 2016 read 9480936 relations
  371. Tue Dec 13 02:53:11 2016 multiplying 9480936 relations
  372. Tue Dec 13 02:55:56 2016 multiply complete, coefficients have about 242.04 million bits
  373. Tue Dec 13 02:55:58 2016 initial square root is modulo 485281817
  374. Tue Dec 13 03:00:02 2016 GCD is 1, no factor found
  375. Tue Dec 13 03:00:02 2016 reading relations for dependency 2
  376. Tue Dec 13 03:00:19 2016 read 3037833 cycles
  377. Tue Dec 13 03:00:26 2016 cycles contain 9474896 unique relations
  378. Tue Dec 13 03:29:08 2016 read 9474896 relations
  379. Tue Dec 13 03:29:53 2016 multiplying 9474896 relations
  380. Tue Dec 13 03:32:38 2016 multiply complete, coefficients have about 241.88 million bits
  381. Tue Dec 13 03:32:39 2016 initial square root is modulo 479157853
  382. Tue Dec 13 03:36:43 2016 GCD is 1, no factor found
  383. Tue Dec 13 03:36:43 2016 reading relations for dependency 3
  384. Tue Dec 13 03:37:01 2016 read 3039281 cycles
  385. Tue Dec 13 03:37:08 2016 cycles contain 9480600 unique relations
  386. Tue Dec 13 04:00:34 2016 read 9480600 relations
  387. Tue Dec 13 04:01:19 2016 multiplying 9480600 relations
  388. Tue Dec 13 04:04:04 2016 multiply complete, coefficients have about 242.02 million bits
  389. Tue Dec 13 04:04:05 2016 initial square root is modulo 484720013
  390. Tue Dec 13 04:08:10 2016 sqrtTime: 6060
  391. Tue Dec 13 04:08:10 2016 p72 factor: 112379656472860474829042792057678915308475337464030582028755921615469511
  392. Tue Dec 13 04:08:10 2016 p115 factor: 2776261690024410744606696476370866157469820399719758452885204263992743689158894137126897862705135949329609978054931
  393. Tue Dec 13 04:08:10 2016 elapsed time 32:25:06
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