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C194_142_70

a guest Dec 14th, 2016 72 Never
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  1. Fri Dec  2 10:06:47 2016  
  2. Fri Dec  2 10:06:47 2016  Msieve v. 1.53 (SVN unknown)
  3. Fri Dec  2 10:06:47 2016  random seeds: 26a243d6 3261244e
  4. Fri Dec  2 10:06:47 2016  factoring 23512949204847442784129703115258826729382160622671415726144782128196119818271091158213534162519545915338431512022574138862868940857197672977471043029131172304443865541698964043592147854460492173 (194 digits)
  5. Fri Dec  2 10:06:48 2016  searching for 15-digit factors
  6. Fri Dec  2 10:06:48 2016  commencing number field sieve (194-digit input)
  7. Fri Dec  2 10:06:48 2016  R0: 16409682740640811134241
  8. Fri Dec  2 10:06:48 2016  R1: -46772761567521097265869140625000000000000
  9. Fri Dec  2 10:06:48 2016  A0: 5041
  10. Fri Dec  2 10:06:48 2016  A1: 0
  11. Fri Dec  2 10:06:48 2016  A2: 0
  12. Fri Dec  2 10:06:48 2016  A3: 0
  13. Fri Dec  2 10:06:48 2016  A4: 0
  14. Fri Dec  2 10:06:48 2016  A5: 0
  15. Fri Dec  2 10:06:48 2016  A6: 1225
  16. Fri Dec  2 10:06:48 2016  skew 1.27, size 9.719e-13, alpha 0.052, combined = 1.212e-13 rroots = 0
  17. Fri Dec  2 10:06:48 2016  
  18. Fri Dec  2 10:06:48 2016  commencing relation filtering
  19. Fri Dec  2 10:06:48 2016  setting target matrix density to 152.0
  20. Fri Dec  2 10:06:48 2016  estimated available RAM is 16008.6 MB
  21. Fri Dec  2 10:06:48 2016  commencing duplicate removal, pass 1
  22. Fri Dec  2 11:07:10 2016  skipped 400 relations with b > 2^32
  23. Fri Dec  2 11:07:10 2016  skipped 1 relations with composite factors
  24. Fri Dec  2 11:07:10 2016  found 31031041 hash collisions in 386996095 relations
  25. Fri Dec  2 11:07:25 2016  added 1218522 free relations
  26. Fri Dec  2 11:07:25 2016  commencing duplicate removal, pass 2
  27. Fri Dec  2 11:11:33 2016  found 1 duplicates and 388214616 unique relations
  28. Fri Dec  2 11:11:33 2016  memory use: 1321.5 MB
  29. Fri Dec  2 11:11:33 2016  reading ideals above 320667648
  30. Fri Dec  2 11:11:33 2016  commencing singleton removal, initial pass
  31. Fri Dec  2 11:53:29 2016  memory use: 6024.0 MB
  32. Fri Dec  2 11:53:29 2016  reading all ideals from disk
  33. Fri Dec  2 11:54:17 2016  memory use: 6357.5 MB
  34. Fri Dec  2 11:54:29 2016  commencing in-memory singleton removal
  35. Fri Dec  2 11:54:41 2016  begin with 388214616 relations and 305257712 unique ideals
  36. Fri Dec  2 11:57:00 2016  reduce to 260008091 relations and 164528864 ideals in 14 passes
  37. Fri Dec  2 11:57:00 2016  max relations containing the same ideal: 41
  38. Fri Dec  2 11:57:12 2016  reading ideals above 720000
  39. Fri Dec  2 11:57:12 2016  commencing singleton removal, initial pass
  40. Fri Dec  2 12:33:21 2016  memory use: 5512.0 MB
  41. Fri Dec  2 12:33:21 2016  reading large ideals from disk
  42. Fri Dec  2 12:35:10 2016  keeping 176689717 ideals with weight <= 20, target excess is 22452157
  43. Fri Dec  2 12:37:18 2016  memory use: 7139.9 MB
  44. Fri Dec  2 12:37:18 2016  commencing in-memory singleton removal
  45. Fri Dec  2 12:37:25 2016  begin with 260008091 relations and 176689717 unique ideals
  46. Fri Dec  2 12:38:28 2016  reduce to 259993130 relations and 176674756 ideals in 7 passes
  47. Fri Dec  2 12:38:28 2016  max relations containing the same ideal: 20
  48. Fri Dec  2 12:39:22 2016  removing 11480937 relations and 9480937 ideals in 2000000 cliques
  49. Fri Dec  2 12:39:26 2016  commencing in-memory singleton removal
  50. Fri Dec  2 12:39:33 2016  begin with 248512193 relations and 176674756 unique ideals
  51. Fri Dec  2 12:40:33 2016  reduce to 248080800 relations and 166757837 ideals in 7 passes
  52. Fri Dec  2 12:40:33 2016  max relations containing the same ideal: 20
  53. Fri Dec  2 12:41:24 2016  removing 8585967 relations and 6585967 ideals in 2000000 cliques
  54. Fri Dec  2 12:41:28 2016  commencing in-memory singleton removal
  55. Fri Dec  2 12:41:34 2016  begin with 239494833 relations and 166757837 unique ideals
  56. Fri Dec  2 12:42:30 2016  reduce to 239209975 relations and 159884429 ideals in 7 passes
  57. Fri Dec  2 12:42:30 2016  max relations containing the same ideal: 20
  58. Fri Dec  2 12:43:20 2016  removing 7738079 relations and 5738079 ideals in 2000000 cliques
  59. Fri Dec  2 12:43:24 2016  commencing in-memory singleton removal
  60. Fri Dec  2 12:43:30 2016  begin with 231471896 relations and 159884429 unique ideals
  61. Fri Dec  2 12:44:24 2016  reduce to 231230349 relations and 153902722 ideals in 7 passes
  62. Fri Dec  2 12:44:24 2016  max relations containing the same ideal: 20
  63. Fri Dec  2 12:45:12 2016  removing 7278602 relations and 5278602 ideals in 2000000 cliques
  64. Fri Dec  2 12:45:16 2016  commencing in-memory singleton removal
  65. Fri Dec  2 12:45:21 2016  begin with 223951747 relations and 153902722 unique ideals
  66. Fri Dec  2 12:46:28 2016  reduce to 223732349 relations and 148402789 ideals in 9 passes
  67. Fri Dec  2 12:46:28 2016  max relations containing the same ideal: 20
  68. Fri Dec  2 12:47:14 2016  removing 6964527 relations and 4964527 ideals in 2000000 cliques
  69. Fri Dec  2 12:47:17 2016  commencing in-memory singleton removal
  70. Fri Dec  2 12:47:23 2016  begin with 216767822 relations and 148402789 unique ideals
  71. Fri Dec  2 12:48:13 2016  reduce to 216555767 relations and 143224362 ideals in 7 passes
  72. Fri Dec  2 12:48:13 2016  max relations containing the same ideal: 20
  73. Fri Dec  2 12:48:58 2016  removing 6754550 relations and 4754550 ideals in 2000000 cliques
  74. Fri Dec  2 12:49:01 2016  commencing in-memory singleton removal
  75. Fri Dec  2 12:49:06 2016  begin with 209801217 relations and 143224362 unique ideals
  76. Fri Dec  2 12:50:01 2016  reduce to 209598598 relations and 138265262 ideals in 8 passes
  77. Fri Dec  2 12:50:01 2016  max relations containing the same ideal: 20
  78. Fri Dec  2 12:50:45 2016  removing 6651634 relations and 4651634 ideals in 2000000 cliques
  79. Fri Dec  2 12:50:48 2016  commencing in-memory singleton removal
  80. Fri Dec  2 12:50:53 2016  begin with 202946964 relations and 138265262 unique ideals
  81. Fri Dec  2 12:51:39 2016  reduce to 202758744 relations and 133423640 ideals in 7 passes
  82. Fri Dec  2 12:51:39 2016  max relations containing the same ideal: 20
  83. Fri Dec  2 12:52:21 2016  removing 6462589 relations and 4462589 ideals in 2000000 cliques
  84. Fri Dec  2 12:52:25 2016  commencing in-memory singleton removal
  85. Fri Dec  2 12:52:30 2016  begin with 196296155 relations and 133423640 unique ideals
  86. Fri Dec  2 12:53:08 2016  reduce to 196106855 relations and 128769802 ideals in 6 passes
  87. Fri Dec  2 12:53:08 2016  max relations containing the same ideal: 20
  88. Fri Dec  2 12:53:49 2016  removing 6381999 relations and 4381999 ideals in 2000000 cliques
  89. Fri Dec  2 12:53:52 2016  commencing in-memory singleton removal
  90. Fri Dec  2 12:53:56 2016  begin with 189724856 relations and 128769802 unique ideals
  91. Fri Dec  2 12:54:39 2016  reduce to 189534158 relations and 124195087 ideals in 7 passes
  92. Fri Dec  2 12:54:39 2016  max relations containing the same ideal: 20
  93. Fri Dec  2 12:55:19 2016  removing 6292930 relations and 4292930 ideals in 2000000 cliques
  94. Fri Dec  2 12:55:22 2016  commencing in-memory singleton removal
  95. Fri Dec  2 12:55:26 2016  begin with 183241228 relations and 124195087 unique ideals
  96. Fri Dec  2 12:56:01 2016  reduce to 183054969 relations and 119713828 ideals in 6 passes
  97. Fri Dec  2 12:56:01 2016  max relations containing the same ideal: 20
  98. Fri Dec  2 12:56:39 2016  removing 6241639 relations and 4241639 ideals in 2000000 cliques
  99. Fri Dec  2 12:56:42 2016  commencing in-memory singleton removal
  100. Fri Dec  2 12:56:47 2016  begin with 176813330 relations and 119713828 unique ideals
  101. Fri Dec  2 12:57:26 2016  reduce to 176626939 relations and 115283724 ideals in 7 passes
  102. Fri Dec  2 12:57:26 2016  max relations containing the same ideal: 20
  103. Fri Dec  2 12:58:03 2016  removing 6172173 relations and 4172173 ideals in 2000000 cliques
  104. Fri Dec  2 12:58:06 2016  commencing in-memory singleton removal
  105. Fri Dec  2 12:58:10 2016  begin with 170454766 relations and 115283724 unique ideals
  106. Fri Dec  2 12:58:42 2016  reduce to 170263742 relations and 110918221 ideals in 6 passes
  107. Fri Dec  2 12:58:42 2016  max relations containing the same ideal: 20
  108. Fri Dec  2 12:59:18 2016  removing 6169972 relations and 4169972 ideals in 2000000 cliques
  109. Fri Dec  2 12:59:21 2016  commencing in-memory singleton removal
  110. Fri Dec  2 12:59:25 2016  begin with 164093770 relations and 110918221 unique ideals
  111. Fri Dec  2 13:00:01 2016  reduce to 163912173 relations and 106564394 ideals in 7 passes
  112. Fri Dec  2 13:00:01 2016  max relations containing the same ideal: 20
  113. Fri Dec  2 13:00:35 2016  removing 6057233 relations and 4057233 ideals in 2000000 cliques
  114. Fri Dec  2 13:00:38 2016  commencing in-memory singleton removal
  115. Fri Dec  2 13:00:41 2016  begin with 157854940 relations and 106564394 unique ideals
  116. Fri Dec  2 13:01:16 2016  reduce to 157668399 relations and 102318251 ideals in 7 passes
  117. Fri Dec  2 13:01:16 2016  max relations containing the same ideal: 20
  118. Fri Dec  2 13:01:49 2016  removing 5975388 relations and 3975388 ideals in 2000000 cliques
  119. Fri Dec  2 13:01:52 2016  commencing in-memory singleton removal
  120. Fri Dec  2 13:01:55 2016  begin with 151693011 relations and 102318251 unique ideals
  121. Fri Dec  2 13:02:33 2016  reduce to 151475977 relations and 98122754 ideals in 8 passes
  122. Fri Dec  2 13:02:33 2016  max relations containing the same ideal: 20
  123. Fri Dec  2 13:03:04 2016  removing 6021596 relations and 4021596 ideals in 2000000 cliques
  124. Fri Dec  2 13:03:07 2016  commencing in-memory singleton removal
  125. Fri Dec  2 13:03:10 2016  begin with 145454381 relations and 98122754 unique ideals
  126. Fri Dec  2 13:03:42 2016  reduce to 145252920 relations and 93896785 ideals in 7 passes
  127. Fri Dec  2 13:03:42 2016  max relations containing the same ideal: 20
  128. Fri Dec  2 13:04:12 2016  removing 6006268 relations and 4006268 ideals in 2000000 cliques
  129. Fri Dec  2 13:04:14 2016  commencing in-memory singleton removal
  130. Fri Dec  2 13:04:17 2016  begin with 139246652 relations and 93896785 unique ideals
  131. Fri Dec  2 13:04:47 2016  reduce to 139047774 relations and 89688628 ideals in 7 passes
  132. Fri Dec  2 13:04:47 2016  max relations containing the same ideal: 20
  133. Fri Dec  2 13:05:16 2016  removing 5954955 relations and 3954955 ideals in 2000000 cliques
  134. Fri Dec  2 13:05:19 2016  commencing in-memory singleton removal
  135. Fri Dec  2 13:05:22 2016  begin with 133092819 relations and 89688628 unique ideals
  136. Fri Dec  2 13:05:50 2016  reduce to 132890593 relations and 85528258 ideals in 7 passes
  137. Fri Dec  2 13:05:50 2016  max relations containing the same ideal: 20
  138. Fri Dec  2 13:06:17 2016  removing 5962807 relations and 3962807 ideals in 2000000 cliques
  139. Fri Dec  2 13:06:20 2016  commencing in-memory singleton removal
  140. Fri Dec  2 13:06:22 2016  begin with 126927786 relations and 85528258 unique ideals
  141. Fri Dec  2 13:06:53 2016  reduce to 126723190 relations and 81357516 ideals in 8 passes
  142. Fri Dec  2 13:06:53 2016  max relations containing the same ideal: 20
  143. Fri Dec  2 13:07:18 2016  removing 5805959 relations and 3805959 ideals in 2000000 cliques
  144. Fri Dec  2 13:07:20 2016  commencing in-memory singleton removal
  145. Fri Dec  2 13:07:23 2016  begin with 120917231 relations and 81357516 unique ideals
  146. Fri Dec  2 13:07:48 2016  reduce to 120664521 relations and 77294303 ideals in 7 passes
  147. Fri Dec  2 13:07:48 2016  max relations containing the same ideal: 20
  148. Fri Dec  2 13:08:12 2016  removing 5916153 relations and 3916153 ideals in 2000000 cliques
  149. Fri Dec  2 13:08:14 2016  commencing in-memory singleton removal
  150. Fri Dec  2 13:08:17 2016  begin with 114748368 relations and 77294303 unique ideals
  151. Fri Dec  2 13:08:40 2016  reduce to 114523128 relations and 73148949 ideals in 7 passes
  152. Fri Dec  2 13:08:40 2016  max relations containing the same ideal: 20
  153. Fri Dec  2 13:09:03 2016  removing 5950784 relations and 3950784 ideals in 2000000 cliques
  154. Fri Dec  2 13:09:05 2016  commencing in-memory singleton removal
  155. Fri Dec  2 13:09:08 2016  begin with 108572344 relations and 73148949 unique ideals
  156. Fri Dec  2 13:09:36 2016  reduce to 108344176 relations and 68965803 ideals in 9 passes
  157. Fri Dec  2 13:09:36 2016  max relations containing the same ideal: 20
  158. Fri Dec  2 13:09:57 2016  removing 5855323 relations and 3855323 ideals in 2000000 cliques
  159. Fri Dec  2 13:09:59 2016  commencing in-memory singleton removal
  160. Fri Dec  2 13:10:01 2016  begin with 102488853 relations and 68965803 unique ideals
  161. Fri Dec  2 13:10:22 2016  reduce to 102229470 relations and 64845914 ideals in 7 passes
  162. Fri Dec  2 13:10:22 2016  max relations containing the same ideal: 20
  163. Fri Dec  2 13:10:41 2016  removing 5853700 relations and 3853700 ideals in 2000000 cliques
  164. Fri Dec  2 13:10:44 2016  commencing in-memory singleton removal
  165. Fri Dec  2 13:10:45 2016  begin with 96375770 relations and 64845914 unique ideals
  166. Fri Dec  2 13:11:07 2016  reduce to 96110675 relations and 60721455 ideals in 8 passes
  167. Fri Dec  2 13:11:07 2016  max relations containing the same ideal: 20
  168. Fri Dec  2 13:11:26 2016  removing 5869854 relations and 3869854 ideals in 2000000 cliques
  169. Fri Dec  2 13:11:28 2016  commencing in-memory singleton removal
  170. Fri Dec  2 13:11:29 2016  begin with 90240821 relations and 60721455 unique ideals
  171. Fri Dec  2 13:11:47 2016  reduce to 89961669 relations and 56566369 ideals in 7 passes
  172. Fri Dec  2 13:11:47 2016  max relations containing the same ideal: 20
  173. Fri Dec  2 13:12:04 2016  removing 5868113 relations and 3868113 ideals in 2000000 cliques
  174. Fri Dec  2 13:12:06 2016  commencing in-memory singleton removal
  175. Fri Dec  2 13:12:08 2016  begin with 84093556 relations and 56566369 unique ideals
  176. Fri Dec  2 13:12:24 2016  reduce to 83757070 relations and 52353698 ideals in 7 passes
  177. Fri Dec  2 13:12:24 2016  max relations containing the same ideal: 19
  178. Fri Dec  2 13:12:40 2016  removing 5835702 relations and 3835702 ideals in 2000000 cliques
  179. Fri Dec  2 13:12:41 2016  commencing in-memory singleton removal
  180. Fri Dec  2 13:12:43 2016  begin with 77921368 relations and 52353698 unique ideals
  181. Fri Dec  2 13:13:04 2016  reduce to 77581503 relations and 48169570 ideals in 10 passes
  182. Fri Dec  2 13:13:04 2016  max relations containing the same ideal: 18
  183. Fri Dec  2 13:13:18 2016  removing 5923057 relations and 3923057 ideals in 2000000 cliques
  184. Fri Dec  2 13:13:20 2016  commencing in-memory singleton removal
  185. Fri Dec  2 13:13:21 2016  begin with 71658446 relations and 48169570 unique ideals
  186. Fri Dec  2 13:13:36 2016  reduce to 71312412 relations and 43891162 ideals in 8 passes
  187. Fri Dec  2 13:13:36 2016  max relations containing the same ideal: 17
  188. Fri Dec  2 13:13:50 2016  removing 4098017 relations and 2721270 ideals in 1376747 cliques
  189. Fri Dec  2 13:13:51 2016  commencing in-memory singleton removal
  190. Fri Dec  2 13:13:52 2016  begin with 67214395 relations and 43891162 unique ideals
  191. Fri Dec  2 13:14:06 2016  reduce to 66991980 relations and 40942470 ideals in 8 passes
  192. Fri Dec  2 13:14:06 2016  max relations containing the same ideal: 16
  193. Fri Dec  2 13:14:21 2016  relations with 0 large ideals: 6509179
  194. Fri Dec  2 13:14:21 2016  relations with 1 large ideals: 22329284
  195. Fri Dec  2 13:14:21 2016  relations with 2 large ideals: 25699515
  196. Fri Dec  2 13:14:21 2016  relations with 3 large ideals: 10407835
  197. Fri Dec  2 13:14:21 2016  relations with 4 large ideals: 1747918
  198. Fri Dec  2 13:14:21 2016  relations with 5 large ideals: 213904
  199. Fri Dec  2 13:14:21 2016  relations with 6 large ideals: 68460
  200. Fri Dec  2 13:14:21 2016  relations with 7+ large ideals: 15885
  201. Fri Dec  2 13:14:21 2016  commencing 2-way merge
  202. Fri Dec  2 13:14:36 2016  reduce to 41705985 relation sets and 15656475 unique ideals
  203. Fri Dec  2 13:14:36 2016  commencing full merge
  204. Fri Dec  2 13:16:01 2016  memory use: 1654.5 MB
  205. Fri Dec  2 13:16:03 2016  found 26007332 cycles, need 22452357
  206. Fri Dec  2 13:16:08 2016  weight of 22452357 cycles is about 1260377823 (56.14/cycle)
  207. Fri Dec  2 13:16:08 2016  distribution of cycle lengths:
  208. Fri Dec  2 13:16:08 2016  1 relations: 6509179
  209. Fri Dec  2 13:16:08 2016  2 relations: 2976901
  210. Fri Dec  2 13:16:08 2016  3 relations: 2321129
  211. Fri Dec  2 13:16:08 2016  4 relations: 2038569
  212. Fri Dec  2 13:16:08 2016  5 relations: 1872681
  213. Fri Dec  2 13:16:08 2016  6 relations: 1675520
  214. Fri Dec  2 13:16:08 2016  7 relations: 1485765
  215. Fri Dec  2 13:16:08 2016  8 relations: 1267275
  216. Fri Dec  2 13:16:08 2016  9 relations: 1045774
  217. Fri Dec  2 13:16:08 2016  10+ relations: 1259564
  218. Fri Dec  2 13:16:08 2016  heaviest cycle: 13 relations
  219. Fri Dec  2 13:16:09 2016  matrix not dense enough, retrying
  220. Fri Dec  2 13:16:11 2016  reading large ideals from disk
  221. Fri Dec  2 13:18:09 2016  keeping 182007031 ideals with weight <= 25, target excess is 17134843
  222. Fri Dec  2 13:20:16 2016  memory use: 7139.9 MB
  223. Fri Dec  2 13:20:16 2016  commencing in-memory singleton removal
  224. Fri Dec  2 13:20:24 2016  begin with 260008091 relations and 182007031 unique ideals
  225. Fri Dec  2 13:21:38 2016  reduce to 259993130 relations and 181992070 ideals in 7 passes
  226. Fri Dec  2 13:21:38 2016  max relations containing the same ideal: 25
  227. Fri Dec  2 13:22:36 2016  removing 11668612 relations and 9668612 ideals in 2000000 cliques
  228. Fri Dec  2 13:22:41 2016  commencing in-memory singleton removal
  229. Fri Dec  2 13:22:48 2016  begin with 248324518 relations and 181992070 unique ideals
  230. Fri Dec  2 13:24:02 2016  reduce to 247903529 relations and 171898030 ideals in 8 passes
  231. Fri Dec  2 13:24:02 2016  max relations containing the same ideal: 25
  232. Fri Dec  2 13:24:55 2016  removing 8742105 relations and 6742105 ideals in 2000000 cliques
  233. Fri Dec  2 13:24:59 2016  commencing in-memory singleton removal
  234. Fri Dec  2 13:25:06 2016  begin with 239161424 relations and 171898030 unique ideals
  235. Fri Dec  2 13:26:08 2016  reduce to 238884970 relations and 164876995 ideals in 7 passes
  236. Fri Dec  2 13:26:08 2016  max relations containing the same ideal: 25
  237. Fri Dec  2 13:26:59 2016  removing 7853345 relations and 5853345 ideals in 2000000 cliques
  238. Fri Dec  2 13:27:03 2016  commencing in-memory singleton removal
  239. Fri Dec  2 13:27:10 2016  begin with 231031625 relations and 164876995 unique ideals
  240. Fri Dec  2 13:28:09 2016  reduce to 230794675 relations and 158784632 ideals in 7 passes
  241. Fri Dec  2 13:28:09 2016  max relations containing the same ideal: 25
  242. Fri Dec  2 13:28:59 2016  removing 7385572 relations and 5385572 ideals in 2000000 cliques
  243. Fri Dec  2 13:29:03 2016  commencing in-memory singleton removal
  244. Fri Dec  2 13:29:09 2016  begin with 223409103 relations and 158784632 unique ideals
  245. Fri Dec  2 13:29:58 2016  reduce to 223194677 relations and 153182803 ideals in 6 passes
  246. Fri Dec  2 13:29:58 2016  max relations containing the same ideal: 25
  247. Fri Dec  2 13:30:46 2016  removing 7063213 relations and 5063213 ideals in 2000000 cliques
  248. Fri Dec  2 13:30:50 2016  commencing in-memory singleton removal
  249. Fri Dec  2 13:30:56 2016  begin with 216131464 relations and 153182803 unique ideals
  250. Fri Dec  2 13:31:43 2016  reduce to 215927800 relations and 147914107 ideals in 6 passes
  251. Fri Dec  2 13:31:43 2016  max relations containing the same ideal: 25
  252. Fri Dec  2 13:32:30 2016  removing 6861523 relations and 4861523 ideals in 2000000 cliques
  253. Fri Dec  2 13:32:34 2016  commencing in-memory singleton removal
  254. Fri Dec  2 13:32:40 2016  begin with 209066277 relations and 147914107 unique ideals
  255. Fri Dec  2 13:33:32 2016  reduce to 208872620 relations and 142857096 ideals in 7 passes
  256. Fri Dec  2 13:33:32 2016  max relations containing the same ideal: 25
  257. Fri Dec  2 13:34:18 2016  removing 6685839 relations and 4685839 ideals in 2000000 cliques
  258. Fri Dec  2 13:34:21 2016  commencing in-memory singleton removal
  259. Fri Dec  2 13:34:27 2016  begin with 202186781 relations and 142857096 unique ideals
  260. Fri Dec  2 13:35:18 2016  reduce to 201999407 relations and 137982134 ideals in 7 passes
  261. Fri Dec  2 13:35:18 2016  max relations containing the same ideal: 25
  262. Fri Dec  2 13:36:02 2016  removing 6554047 relations and 4554047 ideals in 2000000 cliques
  263. Fri Dec  2 13:36:05 2016  commencing in-memory singleton removal
  264. Fri Dec  2 13:36:11 2016  begin with 195445360 relations and 137982134 unique ideals
  265. Fri Dec  2 13:36:53 2016  reduce to 195259291 relations and 133240108 ideals in 6 passes
  266. Fri Dec  2 13:36:53 2016  max relations containing the same ideal: 25
  267. Fri Dec  2 13:37:36 2016  removing 6461394 relations and 4461394 ideals in 2000000 cliques
  268. Fri Dec  2 13:37:39 2016  commencing in-memory singleton removal
  269. Fri Dec  2 13:37:44 2016  begin with 188797897 relations and 133240108 unique ideals
  270. Fri Dec  2 13:38:31 2016  reduce to 188617932 relations and 128596882 ideals in 7 passes
  271. Fri Dec  2 13:38:31 2016  max relations containing the same ideal: 25
  272. Fri Dec  2 13:39:13 2016  removing 6377263 relations and 4377263 ideals in 2000000 cliques
  273. Fri Dec  2 13:39:16 2016  commencing in-memory singleton removal
  274. Fri Dec  2 13:39:21 2016  begin with 182240669 relations and 128596882 unique ideals
  275. Fri Dec  2 13:40:06 2016  reduce to 182060540 relations and 124037566 ideals in 7 passes
  276. Fri Dec  2 13:40:06 2016  max relations containing the same ideal: 25
  277. Fri Dec  2 13:40:46 2016  removing 6282744 relations and 4282744 ideals in 2000000 cliques
  278. Fri Dec  2 13:40:49 2016  commencing in-memory singleton removal
  279. Fri Dec  2 13:40:54 2016  begin with 175777796 relations and 124037566 unique ideals
  280. Fri Dec  2 13:41:37 2016  reduce to 175595407 relations and 119570273 ideals in 7 passes
  281. Fri Dec  2 13:41:37 2016  max relations containing the same ideal: 25
  282. Fri Dec  2 13:42:16 2016  removing 6229041 relations and 4229041 ideals in 2000000 cliques
  283. Fri Dec  2 13:42:19 2016  commencing in-memory singleton removal
  284. Fri Dec  2 13:42:23 2016  begin with 169366366 relations and 119570273 unique ideals
  285. Fri Dec  2 13:42:59 2016  reduce to 169185298 relations and 115158034 ideals in 6 passes
  286. Fri Dec  2 13:42:59 2016  max relations containing the same ideal: 25
  287. Fri Dec  2 13:43:36 2016  removing 6192524 relations and 4192524 ideals in 2000000 cliques
  288. Fri Dec  2 13:43:39 2016  commencing in-memory singleton removal
  289. Fri Dec  2 13:43:44 2016  begin with 162992774 relations and 115158034 unique ideals
  290. Fri Dec  2 13:44:18 2016  reduce to 162810882 relations and 110781412 ideals in 6 passes
  291. Fri Dec  2 13:44:18 2016  max relations containing the same ideal: 25
  292. Fri Dec  2 13:44:55 2016  removing 6134032 relations and 4134032 ideals in 2000000 cliques
  293. Fri Dec  2 13:44:58 2016  commencing in-memory singleton removal
  294. Fri Dec  2 13:45:03 2016  begin with 156676850 relations and 110781412 unique ideals
  295. Fri Dec  2 13:45:35 2016  reduce to 156493751 relations and 106461993 ideals in 6 passes
  296. Fri Dec  2 13:45:35 2016  max relations containing the same ideal: 25
  297. Fri Dec  2 13:46:11 2016  removing 6103828 relations and 4103828 ideals in 2000000 cliques
  298. Fri Dec  2 13:46:14 2016  commencing in-memory singleton removal
  299. Fri Dec  2 13:46:18 2016  begin with 150389923 relations and 106461993 unique ideals
  300. Fri Dec  2 13:46:54 2016  reduce to 150204124 relations and 102169903 ideals in 7 passes
  301. Fri Dec  2 13:46:54 2016  max relations containing the same ideal: 24
  302. Fri Dec  2 13:47:28 2016  removing 6044774 relations and 4044774 ideals in 2000000 cliques
  303. Fri Dec  2 13:47:31 2016  commencing in-memory singleton removal
  304. Fri Dec  2 13:47:35 2016  begin with 144159350 relations and 102169903 unique ideals
  305. Fri Dec  2 13:48:09 2016  reduce to 143966847 relations and 97929885 ideals in 7 passes
  306. Fri Dec  2 13:48:09 2016  max relations containing the same ideal: 24
  307. Fri Dec  2 13:48:41 2016  removing 6017400 relations and 4017400 ideals in 2000000 cliques
  308. Fri Dec  2 13:48:44 2016  commencing in-memory singleton removal
  309. Fri Dec  2 13:48:48 2016  begin with 137949447 relations and 97929885 unique ideals
  310. Fri Dec  2 13:49:20 2016  reduce to 137749883 relations and 93710020 ideals in 7 passes
  311. Fri Dec  2 13:49:20 2016  max relations containing the same ideal: 24
  312. Fri Dec  2 13:49:51 2016  removing 6035540 relations and 4035540 ideals in 2000000 cliques
  313. Fri Dec  2 13:49:54 2016  commencing in-memory singleton removal
  314. Fri Dec  2 13:49:58 2016  begin with 131714343 relations and 93710020 unique ideals
  315. Fri Dec  2 13:50:29 2016  reduce to 131519106 relations and 89476216 ideals in 7 passes
  316. Fri Dec  2 13:50:29 2016  max relations containing the same ideal: 24
  317. Fri Dec  2 13:50:58 2016  removing 5968025 relations and 3968025 ideals in 2000000 cliques
  318. Fri Dec  2 13:51:00 2016  commencing in-memory singleton removal
  319. Fri Dec  2 13:51:04 2016  begin with 125551081 relations and 89476216 unique ideals
  320. Fri Dec  2 13:51:29 2016  reduce to 125350639 relations and 85304550 ideals in 6 passes
  321. Fri Dec  2 13:51:29 2016  max relations containing the same ideal: 23
  322. Fri Dec  2 13:51:57 2016  removing 5987095 relations and 3987095 ideals in 2000000 cliques
  323. Fri Dec  2 13:51:59 2016  commencing in-memory singleton removal
  324. Fri Dec  2 13:52:02 2016  begin with 119363544 relations and 85304550 unique ideals
  325. Fri Dec  2 13:52:29 2016  reduce to 119159833 relations and 81110379 ideals in 7 passes
  326. Fri Dec  2 13:52:29 2016  max relations containing the same ideal: 23
  327. Fri Dec  2 13:52:56 2016  removing 5937050 relations and 3937050 ideals in 2000000 cliques
  328. Fri Dec  2 13:52:58 2016  commencing in-memory singleton removal
  329. Fri Dec  2 13:53:01 2016  begin with 113222783 relations and 81110379 unique ideals
  330. Fri Dec  2 13:53:27 2016  reduce to 113006633 relations and 76953514 ideals in 7 passes
  331. Fri Dec  2 13:53:27 2016  max relations containing the same ideal: 23
  332. Fri Dec  2 13:53:52 2016  removing 5892909 relations and 3892909 ideals in 2000000 cliques
  333. Fri Dec  2 13:53:54 2016  commencing in-memory singleton removal
  334. Fri Dec  2 13:53:57 2016  begin with 107113724 relations and 76953514 unique ideals
  335. Fri Dec  2 13:54:21 2016  reduce to 106871664 relations and 72814116 ideals in 7 passes
  336. Fri Dec  2 13:54:21 2016  max relations containing the same ideal: 23
  337. Fri Dec  2 13:54:45 2016  removing 5944246 relations and 3944246 ideals in 2000000 cliques
  338. Fri Dec  2 13:54:47 2016  commencing in-memory singleton removal
  339. Fri Dec  2 13:54:49 2016  begin with 100927418 relations and 72814116 unique ideals
  340. Fri Dec  2 13:55:12 2016  reduce to 100688124 relations and 68625867 ideals in 7 passes
  341. Fri Dec  2 13:55:12 2016  max relations containing the same ideal: 22
  342. Fri Dec  2 13:55:34 2016  removing 5922715 relations and 3922715 ideals in 2000000 cliques
  343. Fri Dec  2 13:55:36 2016  commencing in-memory singleton removal
  344. Fri Dec  2 13:55:39 2016  begin with 94765409 relations and 68625867 unique ideals
  345. Fri Dec  2 13:56:00 2016  reduce to 94516719 relations and 64449363 ideals in 7 passes
  346. Fri Dec  2 13:56:00 2016  max relations containing the same ideal: 21
  347. Fri Dec  2 13:56:21 2016  removing 5925530 relations and 3925530 ideals in 2000000 cliques
  348. Fri Dec  2 13:56:23 2016  commencing in-memory singleton removal
  349. Fri Dec  2 13:56:25 2016  begin with 88591189 relations and 64449363 unique ideals
  350. Fri Dec  2 13:56:44 2016  reduce to 88323778 relations and 60250698 ideals in 7 passes
  351. Fri Dec  2 13:56:44 2016  max relations containing the same ideal: 21
  352. Fri Dec  2 13:57:03 2016  removing 5943554 relations and 3943554 ideals in 2000000 cliques
  353. Fri Dec  2 13:57:06 2016  commencing in-memory singleton removal
  354. Fri Dec  2 13:57:07 2016  begin with 82380224 relations and 60250698 unique ideals
  355. Fri Dec  2 13:57:25 2016  reduce to 82094070 relations and 56014447 ideals in 7 passes
  356. Fri Dec  2 13:57:25 2016  max relations containing the same ideal: 21
  357. Fri Dec  2 13:57:43 2016  removing 5926663 relations and 3926663 ideals in 2000000 cliques
  358. Fri Dec  2 13:57:45 2016  commencing in-memory singleton removal
  359. Fri Dec  2 13:57:47 2016  begin with 76167407 relations and 56014447 unique ideals
  360. Fri Dec  2 13:58:05 2016  reduce to 75850032 relations and 51762521 ideals in 8 passes
  361. Fri Dec  2 13:58:05 2016  max relations containing the same ideal: 20
  362. Fri Dec  2 13:58:22 2016  removing 5999135 relations and 3999135 ideals in 2000000 cliques
  363. Fri Dec  2 13:58:24 2016  commencing in-memory singleton removal
  364. Fri Dec  2 13:58:25 2016  begin with 69850897 relations and 51762521 unique ideals
  365. Fri Dec  2 13:58:40 2016  reduce to 69503799 relations and 47407556 ideals in 7 passes
  366. Fri Dec  2 13:58:40 2016  max relations containing the same ideal: 19
  367. Fri Dec  2 13:58:55 2016  removing 6002942 relations and 4002942 ideals in 2000000 cliques
  368. Fri Dec  2 13:58:57 2016  commencing in-memory singleton removal
  369. Fri Dec  2 13:58:58 2016  begin with 63500857 relations and 47407556 unique ideals
  370. Fri Dec  2 13:59:11 2016  reduce to 63091764 relations and 42983959 ideals in 7 passes
  371. Fri Dec  2 13:59:11 2016  max relations containing the same ideal: 19
  372. Fri Dec  2 13:59:25 2016  removing 725630 relations and 494243 ideals in 231387 cliques
  373. Fri Dec  2 13:59:26 2016  commencing in-memory singleton removal
  374. Fri Dec  2 13:59:27 2016  begin with 62366134 relations and 42983959 unique ideals
  375. Fri Dec  2 13:59:40 2016  reduce to 62349490 relations and 42473002 ideals in 7 passes
  376. Fri Dec  2 13:59:40 2016  max relations containing the same ideal: 19
  377. Fri Dec  2 13:59:43 2016  relations with 0 large ideals: 3455253
  378. Fri Dec  2 13:59:43 2016  relations with 1 large ideals: 14116203
  379. Fri Dec  2 13:59:43 2016  relations with 2 large ideals: 22743021
  380. Fri Dec  2 13:59:43 2016  relations with 3 large ideals: 15740088
  381. Fri Dec  2 13:59:43 2016  relations with 4 large ideals: 5124202
  382. Fri Dec  2 13:59:43 2016  relations with 5 large ideals: 905745
  383. Fri Dec  2 13:59:43 2016  relations with 6 large ideals: 185876
  384. Fri Dec  2 13:59:43 2016  relations with 7+ large ideals: 79102
  385. Fri Dec  2 13:59:43 2016  commencing 2-way merge
  386. Fri Dec  2 14:00:00 2016  reduce to 39856928 relation sets and 19980440 unique ideals
  387. Fri Dec  2 14:00:00 2016  commencing full merge
  388. Fri Dec  2 14:03:07 2016  memory use: 1902.3 MB
  389. Fri Dec  2 14:03:09 2016  found 19718411 cycles, need 17704543
  390. Fri Dec  2 14:03:12 2016  weight of 17704543 cycles is about 1894452846 (107.00/cycle)
  391. Fri Dec  2 14:03:12 2016  distribution of cycle lengths:
  392. Fri Dec  2 14:03:12 2016  1 relations: 3456588
  393. Fri Dec  2 14:03:12 2016  2 relations: 1362043
  394. Fri Dec  2 14:03:12 2016  3 relations: 1051196
  395. Fri Dec  2 14:03:12 2016  4 relations: 952376
  396. Fri Dec  2 14:03:12 2016  5 relations: 932353
  397. Fri Dec  2 14:03:12 2016  6 relations: 917691
  398. Fri Dec  2 14:03:12 2016  7 relations: 911304
  399. Fri Dec  2 14:03:12 2016  8 relations: 896165
  400. Fri Dec  2 14:03:12 2016  9 relations: 876327
  401. Fri Dec  2 14:03:12 2016  10+ relations: 6348500
  402. Fri Dec  2 14:03:12 2016  heaviest cycle: 23 relations
  403. Fri Dec  2 14:03:13 2016  commencing cycle optimization
  404. Fri Dec  2 14:03:37 2016  start with 133507039 relations
  405. Fri Dec  2 14:06:56 2016  pruned 12640672 relations
  406. Fri Dec  2 14:06:56 2016  memory use: 3451.3 MB
  407. Fri Dec  2 14:06:56 2016  distribution of cycle lengths:
  408. Fri Dec  2 14:06:56 2016  1 relations: 3456588
  409. Fri Dec  2 14:06:56 2016  2 relations: 1419593
  410. Fri Dec  2 14:06:56 2016  3 relations: 1130223
  411. Fri Dec  2 14:06:56 2016  4 relations: 1045864
  412. Fri Dec  2 14:06:56 2016  5 relations: 1052545
  413. Fri Dec  2 14:06:56 2016  6 relations: 1054241
  414. Fri Dec  2 14:06:56 2016  7 relations: 1066497
  415. Fri Dec  2 14:06:56 2016  8 relations: 1049604
  416. Fri Dec  2 14:06:56 2016  9 relations: 1024807
  417. Fri Dec  2 14:06:56 2016  10+ relations: 5404581
  418. Fri Dec  2 14:06:56 2016  heaviest cycle: 23 relations
  419. Fri Dec  2 14:07:08 2016  RelProcTime: 14420
  420. Fri Dec  2 14:07:08 2016  
  421. Fri Dec  2 14:07:08 2016  commencing linear algebra
  422. Fri Dec  2 14:07:24 2016  read 17704543 cycles
  423. Fri Dec  2 14:07:53 2016  cycles contain 53314147 unique relations
  424. Fri Dec  2 14:13:39 2016  read 53314147 relations
  425. Fri Dec  2 14:14:52 2016  using 20 quadratic characters above 4294917295
  426. Fri Dec  2 14:18:16 2016  building initial matrix
  427. Fri Dec  2 14:26:36 2016  memory use: 6888.3 MB
  428. Fri Dec  2 14:26:46 2016  read 17704543 cycles
  429. Fri Dec  2 14:26:48 2016  matrix is 17701969 x 17704543 (7006.5 MB) with weight 2028924501 (114.60/col)
  430. Fri Dec  2 14:26:48 2016  sparse part has weight 1641964340 (92.74/col)
  431. Fri Dec  2 14:31:23 2016  filtering completed in 3 passes
  432. Fri Dec  2 14:31:25 2016  matrix is 17648754 x 17648954 (6994.5 MB) with weight 2025245835 (114.75/col)
  433. Fri Dec  2 14:31:25 2016  sparse part has weight 1639415428 (92.89/col)
  434. Fri Dec  2 14:32:38 2016  matrix starts at (0, 0)
  435. Fri Dec  2 14:32:40 2016  matrix is 17648754 x 17648954 (6994.5 MB) with weight 2025245835 (114.75/col)
  436. Fri Dec  2 14:32:40 2016  sparse part has weight 1639415428 (92.89/col)
  437. Fri Dec  2 14:32:40 2016  saving the first 48 matrix rows for later
  438. Fri Dec  2 14:32:42 2016  matrix includes 64 packed rows
  439. Fri Dec  2 14:32:44 2016  matrix is 17648706 x 17648954 (6702.9 MB) with weight 1703019773 (96.49/col)
  440. Fri Dec  2 14:32:44 2016  sparse part has weight 1580638524 (89.56/col)
  441. Fri Dec  2 14:32:44 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  442. Fri Dec  2 14:33:55 2016  commencing Lanczos iteration (4 threads)
  443. Fri Dec  2 14:33:55 2016  memory use: 5694.4 MB
  444. Fri Dec  2 14:35:28 2016  linear algebra at 0.0%, ETA 286h27m
  445. Fri Dec  2 14:35:57 2016  checkpointing every 70000 dimensions
  446. Mon Dec 12 11:39:10 2016  
  447. Mon Dec 12 11:39:10 2016  
  448. Mon Dec 12 11:39:10 2016  Msieve v. 1.53 (SVN unknown)
  449. Mon Dec 12 11:39:10 2016  random seeds: b2e9dcba 5d472d52
  450. Mon Dec 12 11:39:10 2016  factoring 23512949204847442784129703115258826729382160622671415726144782128196119818271091158213534162519545915338431512022574138862868940857197672977471043029131172304443865541698964043592147854460492173 (194 digits)
  451. Mon Dec 12 11:39:11 2016  searching for 15-digit factors
  452. Mon Dec 12 11:39:11 2016  commencing number field sieve (194-digit input)
  453. Mon Dec 12 11:39:11 2016  R0: 16409682740640811134241
  454. Mon Dec 12 11:39:11 2016  R1: -46772761567521097265869140625000000000000
  455. Mon Dec 12 11:39:11 2016  A0: 5041
  456. Mon Dec 12 11:39:11 2016  A1: 0
  457. Mon Dec 12 11:39:11 2016  A2: 0
  458. Mon Dec 12 11:39:11 2016  A3: 0
  459. Mon Dec 12 11:39:11 2016  A4: 0
  460. Mon Dec 12 11:39:11 2016  A5: 0
  461. Mon Dec 12 11:39:11 2016  A6: 1225
  462. Mon Dec 12 11:39:11 2016  skew 1.27, size 9.719e-13, alpha 0.052, combined = 1.212e-13 rroots = 0
  463. Mon Dec 12 11:39:11 2016  
  464. Mon Dec 12 11:39:11 2016  commencing linear algebra
  465. Mon Dec 12 11:40:05 2016  matrix starts at (0, 0)
  466. Mon Dec 12 11:40:07 2016  matrix is 17648754 x 17648954 (6994.5 MB) with weight 2025245835 (114.75/col)
  467. Mon Dec 12 11:40:07 2016  sparse part has weight 1639415428 (92.89/col)
  468. Mon Dec 12 11:40:07 2016  saving the first 48 matrix rows for later
  469. Mon Dec 12 11:40:09 2016  matrix includes 64 packed rows
  470. Mon Dec 12 11:40:11 2016  matrix is 17648706 x 17648954 (6702.9 MB) with weight 1703019773 (96.49/col)
  471. Mon Dec 12 11:40:11 2016  sparse part has weight 1580638524 (89.56/col)
  472. Mon Dec 12 11:40:11 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  473. Mon Dec 12 11:41:22 2016  commencing Lanczos iteration (4 threads)
  474. Mon Dec 12 11:41:22 2016  memory use: 5694.4 MB
  475. Mon Dec 12 11:41:26 2016  restarting at iteration 244646 (dim = 15470020)
  476. Mon Dec 12 11:42:43 2016  linear algebra at 87.7%, ETA 30h40m
  477. Mon Dec 12 11:43:09 2016  checkpointing every 80000 dimensions
  478. Tue Dec 13 17:00:29 2016  lanczos halted after 279101 iterations (dim = 17648698)
  479. Tue Dec 13 17:00:59 2016  recovered 36 nontrivial dependencies
  480. Tue Dec 13 17:00:59 2016  BLanczosTime: 105708
  481. Tue Dec 13 17:00:59 2016  
  482. Tue Dec 13 17:00:59 2016  commencing square root phase
  483. Tue Dec 13 17:00:59 2016  handling dependencies 1 to 64
  484. Tue Dec 13 17:00:59 2016  reading relations for dependency 1
  485. Tue Dec 13 17:01:04 2016  read 8826883 cycles
  486. Tue Dec 13 17:01:15 2016  cycles contain 26632336 unique relations
  487. Tue Dec 13 17:05:58 2016  read 26632336 relations
  488. Tue Dec 13 17:07:35 2016  multiplying 26632336 relations
  489. Tue Dec 13 17:35:46 2016  multiply complete, coefficients have about 955.61 million bits
  490. Tue Dec 13 17:35:48 2016  initial square root is modulo 374300383
  491. Tue Dec 13 18:06:46 2016  sqrtTime: 3947
  492. Tue Dec 13 18:06:46 2016  p62 factor: 82117218609042904303467118037216524743873741563454815524764361
  493. Tue Dec 13 18:06:46 2016  p132 factor: 286333969941087996070054594580094393586006714090134216002474122441766015228138950022357064268929578357247522760070734928087218390693
  494. Tue Dec 13 18:06:46 2016  elapsed time 30:27:36
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