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13*2^789-1

a guest Jan 16th, 2017 34 Never
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  1. Wed Jan 11 13:43:28 2017  Msieve v. 1.52 (SVN unknown)
  2. Wed Jan 11 13:43:28 2017  random seeds: 0e852f42 fee9acf9
  3. Wed Jan 11 13:43:28 2017  factoring 963345383522148426327711390056149327337660138575102012876259442859585017727670587117496767467455941619985458064402535767116890535492694416633883526643705445497355868792374354596436396602720403245187917907016717532629 (216 digits)
  4. Wed Jan 11 13:43:29 2017  no P-1/P+1/ECM available, skipping
  5. Wed Jan 11 13:43:29 2017  commencing number field sieve (216-digit input)
  6. Wed Jan 11 13:43:29 2017  elapsed time 00:00:01
  7. Wed Jan 11 13:43:49 2017  
  8. Wed Jan 11 13:43:49 2017  
  9. Wed Jan 11 13:43:49 2017  Msieve v. 1.52 (SVN unknown)
  10. Wed Jan 11 13:43:49 2017  random seeds: bb546e28 0a6c5bb9
  11. Wed Jan 11 13:43:49 2017  factoring 963345383522148426327711390056149327337660138575102012876259442859585017727670587117496767467455941619985458064402535767116890535492694416633883526643705445497355868792374354596436396602720403245187917907016717532629 (216 digits)
  12. Wed Jan 11 13:43:50 2017  no P-1/P+1/ECM available, skipping
  13. Wed Jan 11 13:43:50 2017  commencing number field sieve (216-digit input)
  14. Wed Jan 11 13:43:50 2017  R0: -2722258935367507707706996859454145691648
  15. Wed Jan 11 13:43:50 2017  R1: 1
  16. Wed Jan 11 13:43:50 2017  A0: -1
  17. Wed Jan 11 13:43:50 2017  A1: 0
  18. Wed Jan 11 13:43:50 2017  A2: 0
  19. Wed Jan 11 13:43:50 2017  A3: 0
  20. Wed Jan 11 13:43:50 2017  A4: 0
  21. Wed Jan 11 13:43:50 2017  A5: 0
  22. Wed Jan 11 13:43:50 2017  A6: 104
  23. Wed Jan 11 13:43:50 2017  skew 2.16, size 7.581e-12, alpha 1.288, combined = 4.809e-13 rroots = 2
  24. Wed Jan 11 13:43:50 2017  
  25. Wed Jan 11 13:43:50 2017  commencing relation filtering
  26. Wed Jan 11 13:43:50 2017  setting target matrix density to 136.0
  27. Wed Jan 11 13:43:50 2017  estimated available RAM is 15888.6 MB
  28. Wed Jan 11 13:43:50 2017  commencing duplicate removal, pass 1
  29. Wed Jan 11 13:55:32 2017  error -15 reading relation 123710169
  30. Wed Jan 11 13:57:04 2017  error -15 reading relation 144619635
  31. Wed Jan 11 13:58:13 2017  error -15 reading relation 160166094
  32. Wed Jan 11 13:58:13 2017  error -15 reading relation 160169433
  33. Wed Jan 11 13:58:13 2017  error -15 reading relation 160175987
  34. Wed Jan 11 13:58:13 2017  error -9 reading relation 160189533
  35. Wed Jan 11 14:05:40 2017  error -11 reading relation 243449786
  36. Wed Jan 11 14:05:40 2017  error -9 reading relation 243449824
  37. Wed Jan 11 14:05:58 2017  error -1 reading relation 247606923
  38. Wed Jan 11 14:06:32 2017  error -5 reading relation 255341381
  39. Wed Jan 11 14:06:32 2017  error -9 reading relation 255347658
  40. Wed Jan 11 14:08:00 2017  error -15 reading relation 275303377
  41. Wed Jan 11 14:08:00 2017  error -9 reading relation 275440426
  42. Wed Jan 11 14:09:16 2017  error -15 reading relation 292928737
  43. Wed Jan 11 14:09:24 2017  error -15 reading relation 294766018
  44. Wed Jan 11 14:09:31 2017  error -5 reading relation 296220059
  45. Wed Jan 11 14:09:55 2017  error -15 reading relation 301993715
  46. Wed Jan 11 14:10:25 2017  error -9 reading relation 308785455
  47. Wed Jan 11 14:10:26 2017  error -9 reading relation 308919160
  48. Wed Jan 11 14:10:26 2017  error -9 reading relation 308954747
  49. Wed Jan 11 14:10:58 2017  error -15 reading relation 316455624
  50. Wed Jan 11 14:10:59 2017  error -9 reading relation 316468409
  51. Wed Jan 11 14:10:59 2017  error -15 reading relation 316468515
  52. Wed Jan 11 14:11:17 2017  error -15 reading relation 320934057
  53. Wed Jan 11 14:11:17 2017  error -5 reading relation 320984556
  54. Wed Jan 11 14:11:17 2017  error -11 reading relation 320984691
  55. Wed Jan 11 14:11:31 2017  error -9 reading relation 324199280
  56. Wed Jan 11 14:11:38 2017  error -9 reading relation 325940757
  57. Wed Jan 11 14:12:03 2017  error -9 reading relation 331602468
  58. Wed Jan 11 14:12:48 2017  error -1 reading relation 342239337
  59. Wed Jan 11 14:12:58 2017  error -9 reading relation 344807213
  60. Wed Jan 11 14:13:24 2017  error -15 reading relation 352069200
  61. Wed Jan 11 14:13:24 2017  error -15 reading relation 352074322
  62. Wed Jan 11 14:13:43 2017  skipped 39 relations with b > 2^32
  63. Wed Jan 11 14:13:43 2017  found 68284573 hash collisions in 357303788 relations
  64. Wed Jan 11 14:13:57 2017  added 1218471 free relations
  65. Wed Jan 11 14:13:57 2017  commencing duplicate removal, pass 2
  66. Wed Jan 11 14:16:17 2017  found 60247054 duplicates and 298275205 unique relations
  67. Wed Jan 11 14:16:17 2017  memory use: 2387.0 MB
  68. Wed Jan 11 14:16:17 2017  reading ideals above 139919360
  69. Wed Jan 11 14:16:17 2017  commencing singleton removal, initial pass
  70. Wed Jan 11 14:47:43 2017  memory use: 6024.0 MB
  71. Wed Jan 11 14:47:43 2017  reading all ideals from disk
  72. Wed Jan 11 14:48:01 2017  memory use: 5200.3 MB
  73. Wed Jan 11 14:48:16 2017  commencing in-memory singleton removal
  74. Wed Jan 11 14:48:24 2017  begin with 298275205 relations and 283181696 unique ideals
  75. Wed Jan 11 14:49:50 2017  reduce to 140580198 relations and 101051174 ideals in 18 passes
  76. Wed Jan 11 14:49:50 2017  max relations containing the same ideal: 41
  77. Wed Jan 11 14:49:55 2017  reading ideals above 720000
  78. Wed Jan 11 14:49:55 2017  commencing singleton removal, initial pass
  79. Wed Jan 11 15:07:07 2017  memory use: 3012.0 MB
  80. Wed Jan 11 15:07:07 2017  reading all ideals from disk
  81. Wed Jan 11 15:07:24 2017  memory use: 5410.8 MB
  82. Wed Jan 11 15:07:34 2017  keeping 116128819 ideals with weight <= 200, target excess is 732353
  83. Wed Jan 11 15:07:44 2017  commencing in-memory singleton removal
  84. Wed Jan 11 15:07:51 2017  begin with 140580198 relations and 116128819 unique ideals
  85. Wed Jan 11 15:08:45 2017  reduce to 140574387 relations and 116123008 ideals in 7 passes
  86. Wed Jan 11 15:08:45 2017  max relations containing the same ideal: 200
  87. Wed Jan 11 15:09:34 2017  removing 14381027 relations and 12381027 ideals in 2000000 cliques
  88. Wed Jan 11 15:09:38 2017  commencing in-memory singleton removal
  89. Wed Jan 11 15:09:44 2017  begin with 126193360 relations and 116123008 unique ideals
  90. Wed Jan 11 15:11:01 2017  reduce to 125144949 relations and 102673739 ideals in 11 passes
  91. Wed Jan 11 15:11:01 2017  max relations containing the same ideal: 193
  92. Wed Jan 11 15:11:46 2017  removing 10503977 relations and 8503977 ideals in 2000000 cliques
  93. Wed Jan 11 15:11:49 2017  commencing in-memory singleton removal
  94. Wed Jan 11 15:11:55 2017  begin with 114640972 relations and 102673739 unique ideals
  95. Wed Jan 11 15:12:46 2017  reduce to 113987375 relations and 93505529 ideals in 8 passes
  96. Wed Jan 11 15:12:46 2017  max relations containing the same ideal: 185
  97. Wed Jan 11 15:13:25 2017  removing 9287944 relations and 7287944 ideals in 2000000 cliques
  98. Wed Jan 11 15:13:28 2017  commencing in-memory singleton removal
  99. Wed Jan 11 15:13:33 2017  begin with 104699431 relations and 93505529 unique ideals
  100. Wed Jan 11 15:14:19 2017  reduce to 104133087 relations and 85641684 ideals in 8 passes
  101. Wed Jan 11 15:14:19 2017  max relations containing the same ideal: 174
  102. Wed Jan 11 15:14:55 2017  removing 8636957 relations and 6636957 ideals in 2000000 cliques
  103. Wed Jan 11 15:14:58 2017  commencing in-memory singleton removal
  104. Wed Jan 11 15:15:03 2017  begin with 95496130 relations and 85641684 unique ideals
  105. Wed Jan 11 15:15:44 2017  reduce to 94970822 relations and 78470087 ideals in 8 passes
  106. Wed Jan 11 15:15:44 2017  max relations containing the same ideal: 166
  107. Wed Jan 11 15:16:18 2017  removing 8215777 relations and 6215777 ideals in 2000000 cliques
  108. Wed Jan 11 15:16:21 2017  commencing in-memory singleton removal
  109. Wed Jan 11 15:16:25 2017  begin with 86755045 relations and 78470087 unique ideals
  110. Wed Jan 11 15:17:03 2017  reduce to 86239677 relations and 71729343 ideals in 8 passes
  111. Wed Jan 11 15:17:03 2017  max relations containing the same ideal: 161
  112. Wed Jan 11 15:17:35 2017  removing 7914124 relations and 5914124 ideals in 2000000 cliques
  113. Wed Jan 11 15:17:37 2017  commencing in-memory singleton removal
  114. Wed Jan 11 15:17:42 2017  begin with 78325553 relations and 71729343 unique ideals
  115. Wed Jan 11 15:18:48 2017  reduce to 77811596 relations and 65290690 ideals in 9 passes
  116. Wed Jan 11 15:18:48 2017  max relations containing the same ideal: 152
  117. Wed Jan 11 15:19:24 2017  removing 7690975 relations and 5690975 ideals in 2000000 cliques
  118. Wed Jan 11 15:19:27 2017  commencing in-memory singleton removal
  119. Wed Jan 11 15:19:31 2017  begin with 70120621 relations and 65290690 unique ideals
  120. Wed Jan 11 15:20:29 2017  reduce to 69594295 relations and 59061606 ideals in 9 passes
  121. Wed Jan 11 15:20:29 2017  max relations containing the same ideal: 132
  122. Wed Jan 11 15:21:02 2017  removing 7518580 relations and 5518580 ideals in 2000000 cliques
  123. Wed Jan 11 15:21:05 2017  commencing in-memory singleton removal
  124. Wed Jan 11 15:21:09 2017  begin with 62075715 relations and 59061606 unique ideals
  125. Wed Jan 11 15:21:55 2017  reduce to 61528411 relations and 52982056 ideals in 8 passes
  126. Wed Jan 11 15:21:55 2017  max relations containing the same ideal: 121
  127. Wed Jan 11 15:22:24 2017  removing 7378168 relations and 5378168 ideals in 2000000 cliques
  128. Wed Jan 11 15:22:27 2017  commencing in-memory singleton removal
  129. Wed Jan 11 15:22:30 2017  begin with 54150243 relations and 52982056 unique ideals
  130. Wed Jan 11 15:23:09 2017  reduce to 53570366 relations and 47008015 ideals in 9 passes
  131. Wed Jan 11 15:23:09 2017  max relations containing the same ideal: 114
  132. Wed Jan 11 15:23:29 2017  removing 7259078 relations and 5259078 ideals in 2000000 cliques
  133. Wed Jan 11 15:23:32 2017  commencing in-memory singleton removal
  134. Wed Jan 11 15:23:35 2017  begin with 46311288 relations and 47008015 unique ideals
  135. Wed Jan 11 15:24:08 2017  reduce to 45682214 relations and 41099918 ideals in 8 passes
  136. Wed Jan 11 15:24:08 2017  max relations containing the same ideal: 99
  137. Wed Jan 11 15:24:29 2017  removing 7150711 relations and 5150711 ideals in 2000000 cliques
  138. Wed Jan 11 15:24:31 2017  commencing in-memory singleton removal
  139. Wed Jan 11 15:24:34 2017  begin with 38531503 relations and 41099918 unique ideals
  140. Wed Jan 11 15:25:02 2017  reduce to 37830918 relations and 35222500 ideals in 8 passes
  141. Wed Jan 11 15:25:02 2017  max relations containing the same ideal: 89
  142. Wed Jan 11 15:25:20 2017  removing 6354446 relations and 4595558 ideals in 1758888 cliques
  143. Wed Jan 11 15:25:22 2017  commencing in-memory singleton removal
  144. Wed Jan 11 15:25:24 2017  begin with 31476472 relations and 35222500 unique ideals
  145. Wed Jan 11 15:25:49 2017  reduce to 30805952 relations and 29929888 ideals in 9 passes
  146. Wed Jan 11 15:25:49 2017  max relations containing the same ideal: 76
  147. Wed Jan 11 15:26:03 2017  removing 196551 relations and 170017 ideals in 26534 cliques
  148. Wed Jan 11 15:26:04 2017  commencing in-memory singleton removal
  149. Wed Jan 11 15:26:06 2017  begin with 30609401 relations and 29929888 unique ideals
  150. Wed Jan 11 15:26:20 2017  reduce to 30608717 relations and 29759186 ideals in 5 passes
  151. Wed Jan 11 15:26:20 2017  max relations containing the same ideal: 76
  152. Wed Jan 11 15:26:25 2017  relations with 0 large ideals: 26877
  153. Wed Jan 11 15:26:25 2017  relations with 1 large ideals: 16860
  154. Wed Jan 11 15:26:25 2017  relations with 2 large ideals: 198659
  155. Wed Jan 11 15:26:25 2017  relations with 3 large ideals: 1212695
  156. Wed Jan 11 15:26:25 2017  relations with 4 large ideals: 3897011
  157. Wed Jan 11 15:26:25 2017  relations with 5 large ideals: 7278520
  158. Wed Jan 11 15:26:25 2017  relations with 6 large ideals: 8284068
  159. Wed Jan 11 15:26:25 2017  relations with 7+ large ideals: 9694027
  160. Wed Jan 11 15:26:25 2017  commencing 2-way merge
  161. Wed Jan 11 15:26:41 2017  reduce to 19068229 relation sets and 18218698 unique ideals
  162. Wed Jan 11 15:26:41 2017  commencing full merge
  163. Wed Jan 11 15:38:24 2017  memory use: 847.5 MB
  164. Wed Jan 11 15:38:24 2017  found 46909 cycles, need 4177553
  165. Wed Jan 11 15:38:24 2017  too few cycles, matrix probably cannot build
  166. Wed Jan 11 16:34:38 2017  
  167. Wed Jan 11 16:34:38 2017  
  168. Wed Jan 11 16:34:38 2017  Msieve v. 1.52 (SVN unknown)
  169. Wed Jan 11 16:34:38 2017  random seeds: 540f3024 db3e25b8
  170. Wed Jan 11 16:34:38 2017  factoring 963345383522148426327711390056149327337660138575102012876259442859585017727670587117496767467455941619985458064402535767116890535492694416633883526643705445497355868792374354596436396602720403245187917907016717532629 (216 digits)
  171. Wed Jan 11 16:34:40 2017  no P-1/P+1/ECM available, skipping
  172. Wed Jan 11 16:34:40 2017  commencing number field sieve (216-digit input)
  173. Wed Jan 11 16:34:40 2017  R0: -2722258935367507707706996859454145691648
  174. Wed Jan 11 16:34:40 2017  R1: 1
  175. Wed Jan 11 16:34:40 2017  A0: -1
  176. Wed Jan 11 16:34:40 2017  A1: 0
  177. Wed Jan 11 16:34:40 2017  A2: 0
  178. Wed Jan 11 16:34:40 2017  A3: 0
  179. Wed Jan 11 16:34:40 2017  A4: 0
  180. Wed Jan 11 16:34:40 2017  A5: 0
  181. Wed Jan 11 16:34:40 2017  A6: 104
  182. Wed Jan 11 16:34:40 2017  skew 2.16, size 7.581e-12, alpha 1.288, combined = 4.809e-13 rroots = 2
  183. Wed Jan 11 16:34:40 2017  
  184. Wed Jan 11 16:34:40 2017  commencing relation filtering
  185. Wed Jan 11 16:34:40 2017  setting target matrix density to 128.0
  186. Wed Jan 11 16:34:40 2017  estimated available RAM is 15888.6 MB
  187. Wed Jan 11 16:34:40 2017  commencing duplicate removal, pass 1
  188. Wed Jan 11 16:34:47 2017  
  189. Wed Jan 11 16:34:47 2017  
  190. Wed Jan 11 16:34:47 2017  Msieve v. 1.52 (SVN unknown)
  191. Wed Jan 11 16:34:47 2017  random seeds: 1c54ea14 5f9b00a9
  192. Wed Jan 11 16:34:47 2017  factoring 963345383522148426327711390056149327337660138575102012876259442859585017727670587117496767467455941619985458064402535767116890535492694416633883526643705445497355868792374354596436396602720403245187917907016717532629 (216 digits)
  193. Wed Jan 11 16:34:48 2017  no P-1/P+1/ECM available, skipping
  194. Wed Jan 11 16:34:48 2017  commencing number field sieve (216-digit input)
  195. Wed Jan 11 16:34:48 2017  R0: -2722258935367507707706996859454145691648
  196. Wed Jan 11 16:34:48 2017  R1: 1
  197. Wed Jan 11 16:34:48 2017  A0: -1
  198. Wed Jan 11 16:34:48 2017  A1: 0
  199. Wed Jan 11 16:34:48 2017  A2: 0
  200. Wed Jan 11 16:34:48 2017  A3: 0
  201. Wed Jan 11 16:34:48 2017  A4: 0
  202. Wed Jan 11 16:34:48 2017  A5: 0
  203. Wed Jan 11 16:34:48 2017  A6: 104
  204. Wed Jan 11 16:34:48 2017  skew 2.16, size 7.581e-12, alpha 1.288, combined = 4.809e-13 rroots = 2
  205. Wed Jan 11 16:34:48 2017  
  206. Wed Jan 11 16:34:48 2017  commencing relation filtering
  207. Wed Jan 11 16:34:48 2017  setting target matrix density to 128.0
  208. Wed Jan 11 16:34:48 2017  estimated available RAM is 15888.6 MB
  209. Wed Jan 11 16:34:48 2017  commencing duplicate removal, pass 1
  210. Wed Jan 11 16:46:40 2017  error -15 reading relation 123710169
  211. Wed Jan 11 16:48:16 2017  error -15 reading relation 144619635
  212. Wed Jan 11 16:49:24 2017  error -15 reading relation 160166094
  213. Wed Jan 11 16:49:24 2017  error -15 reading relation 160169433
  214. Wed Jan 11 16:49:24 2017  error -15 reading relation 160175987
  215. Wed Jan 11 16:49:24 2017  error -9 reading relation 160189533
  216. Wed Jan 11 16:56:31 2017  error -11 reading relation 243449786
  217. Wed Jan 11 16:56:31 2017  error -9 reading relation 243449824
  218. Wed Jan 11 16:56:51 2017  error -1 reading relation 247606923
  219. Wed Jan 11 16:57:37 2017  error -5 reading relation 255341381
  220. Wed Jan 11 16:57:37 2017  error -9 reading relation 255347658
  221. Wed Jan 11 16:59:29 2017  error -15 reading relation 275303377
  222. Wed Jan 11 16:59:30 2017  error -9 reading relation 275440426
  223. Wed Jan 11 17:01:02 2017  error -15 reading relation 292928737
  224. Wed Jan 11 17:01:12 2017  error -15 reading relation 294766018
  225. Wed Jan 11 17:01:20 2017  error -5 reading relation 296220059
  226. Wed Jan 11 17:01:50 2017  error -15 reading relation 301993715
  227. Wed Jan 11 17:02:19 2017  error -9 reading relation 308785455
  228. Wed Jan 11 17:02:20 2017  error -9 reading relation 308919160
  229. Wed Jan 11 17:02:20 2017  error -9 reading relation 308954747
  230. Wed Jan 11 17:02:52 2017  error -15 reading relation 316455624
  231. Wed Jan 11 17:02:52 2017  error -9 reading relation 316468409
  232. Wed Jan 11 17:02:52 2017  error -15 reading relation 316468515
  233. Wed Jan 11 17:03:11 2017  error -15 reading relation 320934057
  234. Wed Jan 11 17:03:11 2017  error -5 reading relation 320984556
  235. Wed Jan 11 17:03:11 2017  error -11 reading relation 320984691
  236. Wed Jan 11 17:03:24 2017  error -9 reading relation 324199280
  237. Wed Jan 11 17:03:31 2017  error -9 reading relation 325940757
  238. Wed Jan 11 17:03:56 2017  error -9 reading relation 331602468
  239. Wed Jan 11 17:04:41 2017  error -1 reading relation 342239337
  240. Wed Jan 11 17:04:51 2017  error -9 reading relation 344807213
  241. Wed Jan 11 17:05:17 2017  error -15 reading relation 352069200
  242. Wed Jan 11 17:05:17 2017  error -15 reading relation 352074322
  243. Wed Jan 11 17:05:50 2017  skipped 39 relations with b > 2^32
  244. Wed Jan 11 17:05:50 2017  found 68409935 hash collisions in 358522259 relations
  245. Wed Jan 11 17:06:00 2017  commencing duplicate removal, pass 2
  246. Wed Jan 11 17:08:00 2017  found 60247054 duplicates and 298275205 unique relations
  247. Wed Jan 11 17:08:00 2017  memory use: 2387.0 MB
  248. Wed Jan 11 17:08:00 2017  reading ideals above 139919360
  249. Wed Jan 11 17:08:00 2017  commencing singleton removal, initial pass
  250. Wed Jan 11 17:37:21 2017  memory use: 6024.0 MB
  251. Wed Jan 11 17:37:22 2017  reading all ideals from disk
  252. Wed Jan 11 17:37:37 2017  memory use: 5200.3 MB
  253. Wed Jan 11 17:37:51 2017  commencing in-memory singleton removal
  254. Wed Jan 11 17:38:05 2017  begin with 298275205 relations and 283181696 unique ideals
  255. Wed Jan 11 17:40:02 2017  reduce to 140580198 relations and 101051174 ideals in 18 passes
  256. Wed Jan 11 17:40:02 2017  max relations containing the same ideal: 41
  257. Wed Jan 11 17:40:10 2017  reading ideals above 720000
  258. Wed Jan 11 17:40:10 2017  commencing singleton removal, initial pass
  259. Wed Jan 11 17:56:35 2017  memory use: 3012.0 MB
  260. Wed Jan 11 17:56:35 2017  reading all ideals from disk
  261. Wed Jan 11 17:56:50 2017  memory use: 5410.8 MB
  262. Wed Jan 11 17:57:06 2017  keeping 116128819 ideals with weight <= 200, target excess is 732353
  263. Wed Jan 11 17:57:21 2017  commencing in-memory singleton removal
  264. Wed Jan 11 17:57:28 2017  begin with 140580198 relations and 116128819 unique ideals
  265. Wed Jan 11 17:58:25 2017  reduce to 140574387 relations and 116123008 ideals in 7 passes
  266. Wed Jan 11 17:58:25 2017  max relations containing the same ideal: 200
  267. Wed Jan 11 17:59:14 2017  removing 14381027 relations and 12381027 ideals in 2000000 cliques
  268. Wed Jan 11 17:59:17 2017  commencing in-memory singleton removal
  269. Wed Jan 11 17:59:24 2017  begin with 126193360 relations and 116123008 unique ideals
  270. Wed Jan 11 18:00:40 2017  reduce to 125144949 relations and 102673739 ideals in 11 passes
  271. Wed Jan 11 18:00:40 2017  max relations containing the same ideal: 193
  272. Wed Jan 11 18:01:24 2017  removing 10503977 relations and 8503977 ideals in 2000000 cliques
  273. Wed Jan 11 18:01:27 2017  commencing in-memory singleton removal
  274. Wed Jan 11 18:01:32 2017  begin with 114640972 relations and 102673739 unique ideals
  275. Wed Jan 11 18:02:22 2017  reduce to 113987375 relations and 93505529 ideals in 8 passes
  276. Wed Jan 11 18:02:22 2017  max relations containing the same ideal: 185
  277. Wed Jan 11 18:03:01 2017  removing 9287944 relations and 7287944 ideals in 2000000 cliques
  278. Wed Jan 11 18:03:04 2017  commencing in-memory singleton removal
  279. Wed Jan 11 18:03:09 2017  begin with 104699431 relations and 93505529 unique ideals
  280. Wed Jan 11 18:03:54 2017  reduce to 104133087 relations and 85641684 ideals in 8 passes
  281. Wed Jan 11 18:03:54 2017  max relations containing the same ideal: 174
  282. Wed Jan 11 18:04:31 2017  removing 8636957 relations and 6636957 ideals in 2000000 cliques
  283. Wed Jan 11 18:04:34 2017  commencing in-memory singleton removal
  284. Wed Jan 11 18:04:38 2017  begin with 95496130 relations and 85641684 unique ideals
  285. Wed Jan 11 18:05:20 2017  reduce to 94970822 relations and 78470087 ideals in 8 passes
  286. Wed Jan 11 18:05:20 2017  max relations containing the same ideal: 166
  287. Wed Jan 11 18:05:52 2017  removing 8215777 relations and 6215777 ideals in 2000000 cliques
  288. Wed Jan 11 18:05:55 2017  commencing in-memory singleton removal
  289. Wed Jan 11 18:05:59 2017  begin with 86755045 relations and 78470087 unique ideals
  290. Wed Jan 11 18:06:36 2017  reduce to 86239677 relations and 71729343 ideals in 8 passes
  291. Wed Jan 11 18:06:36 2017  max relations containing the same ideal: 161
  292. Wed Jan 11 18:07:06 2017  removing 7914124 relations and 5914124 ideals in 2000000 cliques
  293. Wed Jan 11 18:07:09 2017  commencing in-memory singleton removal
  294. Wed Jan 11 18:07:13 2017  begin with 78325553 relations and 71729343 unique ideals
  295. Wed Jan 11 18:07:51 2017  reduce to 77811596 relations and 65290690 ideals in 9 passes
  296. Wed Jan 11 18:07:51 2017  max relations containing the same ideal: 152
  297. Wed Jan 11 18:08:19 2017  removing 7690975 relations and 5690975 ideals in 2000000 cliques
  298. Wed Jan 11 18:08:21 2017  commencing in-memory singleton removal
  299. Wed Jan 11 18:08:25 2017  begin with 70120621 relations and 65290690 unique ideals
  300. Wed Jan 11 18:08:58 2017  reduce to 69594295 relations and 59061606 ideals in 9 passes
  301. Wed Jan 11 18:08:58 2017  max relations containing the same ideal: 132
  302. Wed Jan 11 18:09:23 2017  removing 7518580 relations and 5518580 ideals in 2000000 cliques
  303. Wed Jan 11 18:09:25 2017  commencing in-memory singleton removal
  304. Wed Jan 11 18:09:28 2017  begin with 62075715 relations and 59061606 unique ideals
  305. Wed Jan 11 18:09:54 2017  reduce to 61528411 relations and 52982056 ideals in 8 passes
  306. Wed Jan 11 18:09:54 2017  max relations containing the same ideal: 121
  307. Wed Jan 11 18:10:16 2017  removing 7378168 relations and 5378168 ideals in 2000000 cliques
  308. Wed Jan 11 18:10:18 2017  commencing in-memory singleton removal
  309. Wed Jan 11 18:10:21 2017  begin with 54150243 relations and 52982056 unique ideals
  310. Wed Jan 11 18:10:46 2017  reduce to 53570366 relations and 47008015 ideals in 9 passes
  311. Wed Jan 11 18:10:46 2017  max relations containing the same ideal: 114
  312. Wed Jan 11 18:11:05 2017  removing 7259078 relations and 5259078 ideals in 2000000 cliques
  313. Wed Jan 11 18:11:07 2017  commencing in-memory singleton removal
  314. Wed Jan 11 18:11:10 2017  begin with 46311288 relations and 47008015 unique ideals
  315. Wed Jan 11 18:11:29 2017  reduce to 45682214 relations and 41099918 ideals in 8 passes
  316. Wed Jan 11 18:11:29 2017  max relations containing the same ideal: 99
  317. Wed Jan 11 18:11:46 2017  removing 7150711 relations and 5150711 ideals in 2000000 cliques
  318. Wed Jan 11 18:11:48 2017  commencing in-memory singleton removal
  319. Wed Jan 11 18:11:50 2017  begin with 38531503 relations and 41099918 unique ideals
  320. Wed Jan 11 18:12:06 2017  reduce to 37830918 relations and 35222500 ideals in 8 passes
  321. Wed Jan 11 18:12:06 2017  max relations containing the same ideal: 89
  322. Wed Jan 11 18:12:20 2017  removing 6354446 relations and 4595558 ideals in 1758888 cliques
  323. Wed Jan 11 18:12:22 2017  commencing in-memory singleton removal
  324. Wed Jan 11 18:12:23 2017  begin with 31476472 relations and 35222500 unique ideals
  325. Wed Jan 11 18:12:38 2017  reduce to 30805952 relations and 29929888 ideals in 9 passes
  326. Wed Jan 11 18:12:38 2017  max relations containing the same ideal: 76
  327. Wed Jan 11 18:12:49 2017  removing 196551 relations and 170017 ideals in 26534 cliques
  328. Wed Jan 11 18:12:50 2017  commencing in-memory singleton removal
  329. Wed Jan 11 18:12:51 2017  begin with 30609401 relations and 29929888 unique ideals
  330. Wed Jan 11 18:12:59 2017  reduce to 30608717 relations and 29759186 ideals in 5 passes
  331. Wed Jan 11 18:12:59 2017  max relations containing the same ideal: 76
  332. Wed Jan 11 18:13:04 2017  relations with 0 large ideals: 26877
  333. Wed Jan 11 18:13:04 2017  relations with 1 large ideals: 16860
  334. Wed Jan 11 18:13:04 2017  relations with 2 large ideals: 198659
  335. Wed Jan 11 18:13:04 2017  relations with 3 large ideals: 1212695
  336. Wed Jan 11 18:13:04 2017  relations with 4 large ideals: 3897011
  337. Wed Jan 11 18:13:04 2017  relations with 5 large ideals: 7278520
  338. Wed Jan 11 18:13:04 2017  relations with 6 large ideals: 8284068
  339. Wed Jan 11 18:13:04 2017  relations with 7+ large ideals: 9694027
  340. Wed Jan 11 18:13:04 2017  commencing 2-way merge
  341. Wed Jan 11 18:13:16 2017  reduce to 19068229 relation sets and 18218698 unique ideals
  342. Wed Jan 11 18:13:16 2017  commencing full merge
  343. Wed Jan 11 18:19:08 2017  memory use: 2443.8 MB
  344. Wed Jan 11 18:19:09 2017  found 8462481 cycles, need 8458898
  345. Wed Jan 11 18:19:11 2017  weight of 8458898 cycles is about 1083631698 (128.11/cycle)
  346. Wed Jan 11 18:19:11 2017  distribution of cycle lengths:
  347. Wed Jan 11 18:19:11 2017  1 relations: 273417
  348. Wed Jan 11 18:19:11 2017  2 relations: 429453
  349. Wed Jan 11 18:19:11 2017  3 relations: 528549
  350. Wed Jan 11 18:19:11 2017  4 relations: 563473
  351. Wed Jan 11 18:19:11 2017  5 relations: 589912
  352. Wed Jan 11 18:19:11 2017  6 relations: 594300
  353. Wed Jan 11 18:19:11 2017  7 relations: 586463
  354. Wed Jan 11 18:19:11 2017  8 relations: 571096
  355. Wed Jan 11 18:19:11 2017  9 relations: 542621
  356. Wed Jan 11 18:19:11 2017  10+ relations: 3779614
  357. Wed Jan 11 18:19:11 2017  heaviest cycle: 28 relations
  358. Wed Jan 11 18:19:13 2017  commencing cycle optimization
  359. Wed Jan 11 18:19:29 2017  start with 81434710 relations
  360. Wed Jan 11 18:22:00 2017  pruned 3623064 relations
  361. Wed Jan 11 18:22:00 2017  memory use: 2104.9 MB
  362. Wed Jan 11 18:22:00 2017  distribution of cycle lengths:
  363. Wed Jan 11 18:22:00 2017  1 relations: 273417
  364. Wed Jan 11 18:22:00 2017  2 relations: 439608
  365. Wed Jan 11 18:22:00 2017  3 relations: 549826
  366. Wed Jan 11 18:22:00 2017  4 relations: 585560
  367. Wed Jan 11 18:22:00 2017  5 relations: 618293
  368. Wed Jan 11 18:22:00 2017  6 relations: 621973
  369. Wed Jan 11 18:22:00 2017  7 relations: 617006
  370. Wed Jan 11 18:22:00 2017  8 relations: 598397
  371. Wed Jan 11 18:22:00 2017  9 relations: 568302
  372. Wed Jan 11 18:22:00 2017  10+ relations: 3586516
  373. Wed Jan 11 18:22:00 2017  heaviest cycle: 28 relations
  374. Wed Jan 11 18:22:16 2017  RelProcTime: 6448
  375. Wed Jan 11 18:22:16 2017  
  376. Wed Jan 11 18:22:16 2017  commencing linear algebra
  377. Wed Jan 11 18:22:21 2017  read 8458898 cycles
  378. Wed Jan 11 18:22:39 2017  cycles contain 30106813 unique relations
  379. Wed Jan 11 18:25:28 2017  read 30106813 relations
  380. Wed Jan 11 18:26:14 2017  using 20 quadratic characters above 4294917296
  381. Wed Jan 11 18:28:20 2017  building initial matrix
  382. Wed Jan 11 18:33:34 2017  memory use: 3872.4 MB
  383. Wed Jan 11 18:33:39 2017  read 8458898 cycles
  384. Wed Jan 11 18:33:41 2017  matrix is 8458721 x 8458898 (4173.6 MB) with weight 1199784790 (141.84/col)
  385. Wed Jan 11 18:33:41 2017  sparse part has weight 1009484612 (119.34/col)
  386. Wed Jan 11 18:35:15 2017  filtering completed in 2 passes
  387. Wed Jan 11 18:35:16 2017  matrix is 8458673 x 8458850 (4173.6 MB) with weight 1199783152 (141.84/col)
  388. Wed Jan 11 18:35:16 2017  sparse part has weight 1009484074 (119.34/col)
  389. Wed Jan 11 18:36:09 2017  matrix starts at (0, 0)
  390. Wed Jan 11 18:36:10 2017  matrix is 8458673 x 8458850 (4173.6 MB) with weight 1199783152 (141.84/col)
  391. Wed Jan 11 18:36:10 2017  sparse part has weight 1009484074 (119.34/col)
  392. Wed Jan 11 18:36:10 2017  saving the first 48 matrix rows for later
  393. Wed Jan 11 18:36:12 2017  matrix includes 64 packed rows
  394. Wed Jan 11 18:36:12 2017  matrix is 8458625 x 8458850 (4011.5 MB) with weight 1029495375 (121.71/col)
  395. Wed Jan 11 18:36:12 2017  sparse part has weight 967012917 (114.32/col)
  396. Wed Jan 11 18:36:13 2017  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
  397. Wed Jan 11 18:36:47 2017  commencing Lanczos iteration (6 threads)
  398. Wed Jan 11 18:36:47 2017  memory use: 3414.5 MB
  399. Wed Jan 11 18:37:31 2017  linear algebra at 0.0%, ETA 63h24m
  400. Wed Jan 11 18:37:44 2017  checkpointing every 140000 dimensions
  401. Sun Jan 15 08:11:17 2017  lanczos halted after 133764 iterations (dim = 8458617)
  402. Sun Jan 15 08:11:26 2017  recovered 31 nontrivial dependencies
  403. Sun Jan 15 08:11:26 2017  BLanczosTime: 308950
  404. Sun Jan 15 08:11:26 2017  
  405. Sun Jan 15 08:11:26 2017  commencing square root phase
  406. Sun Jan 15 08:11:26 2017  handling dependencies 1 to 64
  407. Sun Jan 15 08:11:26 2017  reading relations for dependency 1
  408. Sun Jan 15 08:11:27 2017  read 4229459 cycles
  409. Sun Jan 15 08:11:33 2017  cycles contain 15054412 unique relations
  410. Sun Jan 15 08:13:29 2017  read 15054412 relations
  411. Sun Jan 15 08:14:17 2017  multiplying 15054412 relations
  412. Sun Jan 15 08:26:38 2017  multiply complete, coefficients have about 466.29 million bits
  413. Sun Jan 15 08:26:40 2017  initial square root is modulo 232643557
  414. Sun Jan 15 08:42:09 2017  GCD is 1, no factor found
  415. Sun Jan 15 08:42:09 2017  reading relations for dependency 2
  416. Sun Jan 15 08:42:10 2017  read 4229443 cycles
  417. Sun Jan 15 08:42:19 2017  cycles contain 15051332 unique relations
  418. Sun Jan 15 08:44:56 2017  read 15051332 relations
  419. Sun Jan 15 08:46:05 2017  multiplying 15051332 relations
  420. Sun Jan 15 08:59:19 2017  multiply complete, coefficients have about 466.19 million bits
  421. Sun Jan 15 08:59:21 2017  initial square root is modulo 231721081
  422. Sun Jan 15 09:14:32 2017  GCD is 1, no factor found
  423. Sun Jan 15 09:14:32 2017  reading relations for dependency 3
  424. Sun Jan 15 09:14:34 2017  read 4228686 cycles
  425. Sun Jan 15 09:14:43 2017  cycles contain 15052036 unique relations
  426. Sun Jan 15 09:17:20 2017  read 15052036 relations
  427. Sun Jan 15 09:18:25 2017  multiplying 15052036 relations
  428. Sun Jan 15 09:31:47 2017  multiply complete, coefficients have about 466.21 million bits
  429. Sun Jan 15 09:31:48 2017  initial square root is modulo 231907363
  430. Sun Jan 15 09:47:09 2017  GCD is 1, no factor found
  431. Sun Jan 15 09:47:09 2017  reading relations for dependency 4
  432. Sun Jan 15 09:47:11 2017  read 4231267 cycles
  433. Sun Jan 15 09:47:20 2017  cycles contain 15055236 unique relations
  434. Sun Jan 15 09:49:56 2017  read 15055236 relations
  435. Sun Jan 15 09:51:03 2017  multiplying 15055236 relations
  436. Sun Jan 15 10:05:00 2017  multiply complete, coefficients have about 466.31 million bits
  437. Sun Jan 15 10:05:02 2017  initial square root is modulo 232838929
  438. Sun Jan 15 10:19:57 2017  GCD is N, no factor found
  439. Sun Jan 15 10:19:57 2017  reading relations for dependency 5
  440. Sun Jan 15 10:19:58 2017  read 4225892 cycles
  441. Sun Jan 15 10:20:07 2017  cycles contain 15046216 unique relations
  442. Sun Jan 15 10:22:44 2017  read 15046216 relations
  443. Sun Jan 15 10:23:55 2017  multiplying 15046216 relations
  444. Sun Jan 15 10:37:50 2017  multiply complete, coefficients have about 466.03 million bits
  445. Sun Jan 15 10:37:51 2017  initial square root is modulo 230191201
  446. Sun Jan 15 10:53:19 2017  GCD is N, no factor found
  447. Sun Jan 15 10:53:19 2017  reading relations for dependency 6
  448. Sun Jan 15 10:53:21 2017  read 4227795 cycles
  449. Sun Jan 15 10:53:28 2017  cycles contain 15049136 unique relations
  450. Sun Jan 15 10:56:00 2017  read 15049136 relations
  451. Sun Jan 15 10:57:02 2017  multiplying 15049136 relations
  452. Sun Jan 15 11:10:41 2017  multiply complete, coefficients have about 466.13 million bits
  453. Sun Jan 15 11:10:42 2017  initial square root is modulo 231102661
  454. Sun Jan 15 11:26:02 2017  GCD is 1, no factor found
  455. Sun Jan 15 11:26:02 2017  reading relations for dependency 7
  456. Sun Jan 15 11:26:03 2017  read 4227538 cycles
  457. Sun Jan 15 11:26:11 2017  cycles contain 15052620 unique relations
  458. Sun Jan 15 11:28:49 2017  read 15052620 relations
  459. Sun Jan 15 11:29:47 2017  multiplying 15052620 relations
  460. Sun Jan 15 11:43:47 2017  multiply complete, coefficients have about 466.24 million bits
  461. Sun Jan 15 11:43:49 2017  initial square root is modulo 232177747
  462. Sun Jan 15 11:59:04 2017  GCD is 1, no factor found
  463. Sun Jan 15 11:59:04 2017  reading relations for dependency 8
  464. Sun Jan 15 11:59:05 2017  read 4229800 cycles
  465. Sun Jan 15 11:59:14 2017  cycles contain 15052312 unique relations
  466. Sun Jan 15 12:01:50 2017  read 15052312 relations
  467. Sun Jan 15 12:03:04 2017  multiplying 15052312 relations
  468. Sun Jan 15 12:16:31 2017  multiply complete, coefficients have about 466.22 million bits
  469. Sun Jan 15 12:16:32 2017  initial square root is modulo 231953461
  470. Sun Jan 15 12:31:23 2017  GCD is N, no factor found
  471. Sun Jan 15 12:31:23 2017  reading relations for dependency 9
  472. Sun Jan 15 12:31:24 2017  read 4231259 cycles
  473. Sun Jan 15 12:31:30 2017  cycles contain 15059076 unique relations
  474. Sun Jan 15 12:34:07 2017  read 15059076 relations
  475. Sun Jan 15 12:35:19 2017  multiplying 15059076 relations
  476. Sun Jan 15 12:48:59 2017  multiply complete, coefficients have about 466.44 million bits
  477. Sun Jan 15 12:49:01 2017  initial square root is modulo 234090433
  478. Sun Jan 15 13:04:28 2017  GCD is 1, no factor found
  479. Sun Jan 15 13:04:28 2017  reading relations for dependency 10
  480. Sun Jan 15 13:04:29 2017  read 4229015 cycles
  481. Sun Jan 15 13:04:37 2017  cycles contain 15049340 unique relations
  482. Sun Jan 15 13:07:15 2017  read 15049340 relations
  483. Sun Jan 15 13:08:25 2017  multiplying 15049340 relations
  484. Sun Jan 15 13:22:04 2017  multiply complete, coefficients have about 466.12 million bits
  485. Sun Jan 15 13:22:06 2017  initial square root is modulo 231048619
  486. Sun Jan 15 13:36:58 2017  sqrtTime: 19532
  487. Sun Jan 15 13:36:58 2017  prp61 factor: 1311890846639943631674593733057633656292355142160708183898109
  488. Sun Jan 15 13:36:58 2017  prp156 factor: 734318244531928186132824716241631517606935103045878610316941913043124282438235124674431034790876287625366814660791012533897262982703683332985323193499396281
  489. Sun Jan 15 13:36:58 2017  elapsed time 93:02:11
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