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C173_129_85

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  1. Sat Sep 23 05:53:13 2017  Msieve v. 1.53 (SVN unknown)
  2. Sat Sep 23 05:53:13 2017  random seeds: d01d6f1c 5e261323
  3. Sat Sep 23 05:53:13 2017  factoring 16432623607473574219758563585400708524378818125206904056185988551457839250312821323878324356918801650702586763199236947949550568517635374514910417505008392250111636215513873 (173 digits)
  4. Sat Sep 23 05:53:14 2017  searching for 15-digit factors
  5. Sat Sep 23 05:53:14 2017  commencing number field sieve (173-digit input)
  6. Sat Sep 23 05:53:14 2017  R0: -1009427825229211597749017949451862
  7. Sat Sep 23 05:53:14 2017  R1: 210906019054079
  8. Sat Sep 23 05:53:14 2017  A0: -14706812234442561584746077625649079501315
  9. Sat Sep 23 05:53:14 2017  A1: 62935577997654071065756497728660415
  10. Sat Sep 23 05:53:14 2017  A2: -18514641213973620944626070771
  11. Sat Sep 23 05:53:14 2017  A3: -3710098762779786734135
  12. Sat Sep 23 05:53:14 2017  A4: 262902730897806
  13. Sat Sep 23 05:53:14 2017  A5: 15679440
  14. Sat Sep 23 05:53:14 2017  skew 7500107.12, size 7.565e-17, alpha -7.687, combined = 2.415e-13 rroots = 5
  15. Sat Sep 23 05:53:14 2017  
  16. Sat Sep 23 05:53:14 2017  commencing relation filtering
  17. Sat Sep 23 05:53:14 2017  setting target matrix density to 140.0
  18. Sat Sep 23 05:53:14 2017  estimated available RAM is 15997.3 MB
  19. Sat Sep 23 05:53:14 2017  commencing duplicate removal, pass 1
  20. Sat Sep 23 06:01:29 2017  error -15 reading relation 68930894
  21. Sat Sep 23 06:02:19 2017  error -11 reading relation 75837728
  22. Sat Sep 23 06:09:36 2017  error -11 reading relation 136566965
  23. Sat Sep 23 06:23:09 2017  error -6 reading relation 249315834
  24. Sat Sep 23 06:26:18 2017  error -15 reading relation 275409855
  25. Sat Sep 23 06:31:29 2017  error -1 reading relation 318420570
  26. Sat Sep 23 06:32:19 2017  error -15 reading relation 325384127
  27. Sat Sep 23 06:32:25 2017  error -15 reading relation 326153229
  28. Sat Sep 23 06:32:28 2017  error -11 reading relation 326537148
  29. Sat Sep 23 06:33:39 2017  error -6 reading relation 336374051
  30. Sat Sep 23 06:33:57 2017  error -11 reading relation 338895740
  31. Sat Sep 23 06:34:02 2017  error -11 reading relation 339570710
  32. Sat Sep 23 06:37:52 2017  error -15 reading relation 371381764
  33. Sat Sep 23 06:37:52 2017  skipped 1 relations with b > 2^32
  34. Sat Sep 23 06:37:52 2017  skipped 11 relations with composite factors
  35. Sat Sep 23 06:37:52 2017  found 28728449 hash collisions in 371449974 relations
  36. Sat Sep 23 06:38:19 2017  added 121572 free relations
  37. Sat Sep 23 06:38:19 2017  commencing duplicate removal, pass 2
  38. Sat Sep 23 06:39:57 2017  found 24 duplicates and 371571522 unique relations
  39. Sat Sep 23 06:39:57 2017  memory use: 1321.5 MB
  40. Sat Sep 23 06:39:57 2017  reading ideals above 215023616
  41. Sat Sep 23 06:39:57 2017  commencing singleton removal, initial pass
  42. Sat Sep 23 07:12:57 2017  memory use: 6024.0 MB
  43. Sat Sep 23 07:12:57 2017  reading all ideals from disk
  44. Sat Sep 23 07:13:14 2017  memory use: 6360.2 MB
  45. Sat Sep 23 07:13:30 2017  commencing in-memory singleton removal
  46. Sat Sep 23 07:13:45 2017  begin with 371571522 relations and 306074336 unique ideals
  47. Sat Sep 23 07:16:20 2017  reduce to 236693089 relations and 156708597 ideals in 14 passes
  48. Sat Sep 23 07:16:20 2017  max relations containing the same ideal: 29
  49. Sat Sep 23 07:16:33 2017  reading ideals above 720000
  50. Sat Sep 23 07:16:33 2017  commencing singleton removal, initial pass
  51. Sat Sep 23 07:43:22 2017  memory use: 5512.0 MB
  52. Sat Sep 23 07:43:22 2017  reading large ideals from disk
  53. Sat Sep 23 07:44:47 2017  keeping 163585971 ideals with weight <= 20, target excess is 16847266
  54. Sat Sep 23 07:46:14 2017  memory use: 5245.5 MB
  55. Sat Sep 23 07:46:14 2017  commencing in-memory singleton removal
  56. Sat Sep 23 07:46:20 2017  begin with 236693089 relations and 163585971 unique ideals
  57. Sat Sep 23 07:47:18 2017  reduce to 236690080 relations and 163582962 ideals in 8 passes
  58. Sat Sep 23 07:47:18 2017  max relations containing the same ideal: 20
  59. Sat Sep 23 07:48:05 2017  removing 11702912 relations and 9702912 ideals in 2000000 cliques
  60. Sat Sep 23 07:48:09 2017  commencing in-memory singleton removal
  61. Sat Sep 23 07:48:15 2017  begin with 224987168 relations and 163582962 unique ideals
  62. Sat Sep 23 07:49:10 2017  reduce to 224508876 relations and 153396289 ideals in 8 passes
  63. Sat Sep 23 07:49:10 2017  max relations containing the same ideal: 20
  64. Sat Sep 23 07:49:55 2017  removing 8717203 relations and 6717203 ideals in 2000000 cliques
  65. Sat Sep 23 07:49:58 2017  commencing in-memory singleton removal
  66. Sat Sep 23 07:50:03 2017  begin with 215791673 relations and 153396289 unique ideals
  67. Sat Sep 23 07:50:48 2017  reduce to 215479602 relations and 146364017 ideals in 7 passes
  68. Sat Sep 23 07:50:48 2017  max relations containing the same ideal: 20
  69. Sat Sep 23 07:51:31 2017  removing 7811061 relations and 5811061 ideals in 2000000 cliques
  70. Sat Sep 23 07:51:34 2017  commencing in-memory singleton removal
  71. Sat Sep 23 07:51:39 2017  begin with 207668541 relations and 146364017 unique ideals
  72. Sat Sep 23 07:52:21 2017  reduce to 207400344 relations and 140282162 ideals in 7 passes
  73. Sat Sep 23 07:52:21 2017  max relations containing the same ideal: 20
  74. Sat Sep 23 07:53:02 2017  removing 7326720 relations and 5326720 ideals in 2000000 cliques
  75. Sat Sep 23 07:53:05 2017  commencing in-memory singleton removal
  76. Sat Sep 23 07:53:10 2017  begin with 200073624 relations and 140282162 unique ideals
  77. Sat Sep 23 07:53:50 2017  reduce to 199825335 relations and 134704768 ideals in 7 passes
  78. Sat Sep 23 07:53:50 2017  max relations containing the same ideal: 20
  79. Sat Sep 23 07:54:30 2017  removing 7066401 relations and 5066401 ideals in 2000000 cliques
  80. Sat Sep 23 07:54:33 2017  commencing in-memory singleton removal
  81. Sat Sep 23 07:54:37 2017  begin with 192758934 relations and 134704768 unique ideals
  82. Sat Sep 23 07:55:21 2017  reduce to 192534368 relations and 129411538 ideals in 8 passes
  83. Sat Sep 23 07:55:21 2017  max relations containing the same ideal: 20
  84. Sat Sep 23 07:55:59 2017  removing 6787762 relations and 4787762 ideals in 2000000 cliques
  85. Sat Sep 23 07:56:02 2017  commencing in-memory singleton removal
  86. Sat Sep 23 07:56:06 2017  begin with 185746606 relations and 129411538 unique ideals
  87. Sat Sep 23 07:56:43 2017  reduce to 185522248 relations and 124397063 ideals in 7 passes
  88. Sat Sep 23 07:56:43 2017  max relations containing the same ideal: 20
  89. Sat Sep 23 07:57:20 2017  removing 6692196 relations and 4692196 ideals in 2000000 cliques
  90. Sat Sep 23 07:57:23 2017  commencing in-memory singleton removal
  91. Sat Sep 23 07:57:27 2017  begin with 178830052 relations and 124397063 unique ideals
  92. Sat Sep 23 07:58:02 2017  reduce to 178617629 relations and 119490111 ideals in 7 passes
  93. Sat Sep 23 07:58:02 2017  max relations containing the same ideal: 20
  94. Sat Sep 23 07:58:37 2017  removing 6505028 relations and 4505028 ideals in 2000000 cliques
  95. Sat Sep 23 07:58:40 2017  commencing in-memory singleton removal
  96. Sat Sep 23 07:58:44 2017  begin with 172112601 relations and 119490111 unique ideals
  97. Sat Sep 23 07:59:22 2017  reduce to 171902528 relations and 114772691 ideals in 8 passes
  98. Sat Sep 23 07:59:22 2017  max relations containing the same ideal: 20
  99. Sat Sep 23 07:59:56 2017  removing 6399366 relations and 4399366 ideals in 2000000 cliques
  100. Sat Sep 23 07:59:59 2017  commencing in-memory singleton removal
  101. Sat Sep 23 08:00:03 2017  begin with 165503162 relations and 114772691 unique ideals
  102. Sat Sep 23 08:00:35 2017  reduce to 165287510 relations and 110155044 ideals in 7 passes
  103. Sat Sep 23 08:00:35 2017  max relations containing the same ideal: 20
  104. Sat Sep 23 08:01:08 2017  removing 6387614 relations and 4387614 ideals in 2000000 cliques
  105. Sat Sep 23 08:01:10 2017  commencing in-memory singleton removal
  106. Sat Sep 23 08:01:14 2017  begin with 158899896 relations and 110155044 unique ideals
  107. Sat Sep 23 08:01:49 2017  reduce to 158693104 relations and 105558045 ideals in 8 passes
  108. Sat Sep 23 08:01:49 2017  max relations containing the same ideal: 20
  109. Sat Sep 23 08:02:21 2017  removing 6245528 relations and 4245528 ideals in 2000000 cliques
  110. Sat Sep 23 08:02:23 2017  commencing in-memory singleton removal
  111. Sat Sep 23 08:02:26 2017  begin with 152447576 relations and 105558045 unique ideals
  112. Sat Sep 23 08:02:52 2017  reduce to 152233453 relations and 101095558 ideals in 6 passes
  113. Sat Sep 23 08:02:52 2017  max relations containing the same ideal: 20
  114. Sat Sep 23 08:03:22 2017  removing 6245600 relations and 4245600 ideals in 2000000 cliques
  115. Sat Sep 23 08:03:24 2017  commencing in-memory singleton removal
  116. Sat Sep 23 08:03:28 2017  begin with 145987853 relations and 101095558 unique ideals
  117. Sat Sep 23 08:03:59 2017  reduce to 145776295 relations and 96635517 ideals in 8 passes
  118. Sat Sep 23 08:03:59 2017  max relations containing the same ideal: 20
  119. Sat Sep 23 08:04:28 2017  removing 6161601 relations and 4161601 ideals in 2000000 cliques
  120. Sat Sep 23 08:04:31 2017  commencing in-memory singleton removal
  121. Sat Sep 23 08:04:34 2017  begin with 139614694 relations and 96635517 unique ideals
  122. Sat Sep 23 08:05:04 2017  reduce to 139402531 relations and 92258719 ideals in 8 passes
  123. Sat Sep 23 08:05:04 2017  max relations containing the same ideal: 20
  124. Sat Sep 23 08:05:32 2017  removing 5998995 relations and 3998995 ideals in 2000000 cliques
  125. Sat Sep 23 08:05:34 2017  commencing in-memory singleton removal
  126. Sat Sep 23 08:05:37 2017  begin with 133403536 relations and 92258719 unique ideals
  127. Sat Sep 23 08:06:06 2017  reduce to 133138822 relations and 87990921 ideals in 8 passes
  128. Sat Sep 23 08:06:06 2017  max relations containing the same ideal: 20
  129. Sat Sep 23 08:06:33 2017  removing 6113487 relations and 4113487 ideals in 2000000 cliques
  130. Sat Sep 23 08:06:35 2017  commencing in-memory singleton removal
  131. Sat Sep 23 08:06:37 2017  begin with 127025335 relations and 87990921 unique ideals
  132. Sat Sep 23 08:07:01 2017  reduce to 126790300 relations and 83638602 ideals in 7 passes
  133. Sat Sep 23 08:07:01 2017  max relations containing the same ideal: 20
  134. Sat Sep 23 08:07:27 2017  removing 6113541 relations and 4113541 ideals in 2000000 cliques
  135. Sat Sep 23 08:07:29 2017  commencing in-memory singleton removal
  136. Sat Sep 23 08:07:31 2017  begin with 120676759 relations and 83638602 unique ideals
  137. Sat Sep 23 08:07:57 2017  reduce to 120440655 relations and 79284811 ideals in 8 passes
  138. Sat Sep 23 08:07:57 2017  max relations containing the same ideal: 20
  139. Sat Sep 23 08:08:21 2017  removing 6076426 relations and 4076426 ideals in 2000000 cliques
  140. Sat Sep 23 08:08:23 2017  commencing in-memory singleton removal
  141. Sat Sep 23 08:08:26 2017  begin with 114364229 relations and 79284811 unique ideals
  142. Sat Sep 23 08:08:47 2017  reduce to 114124753 relations and 74964779 ideals in 7 passes
  143. Sat Sep 23 08:08:47 2017  max relations containing the same ideal: 20
  144. Sat Sep 23 08:09:10 2017  removing 5934348 relations and 3934348 ideals in 2000000 cliques
  145. Sat Sep 23 08:09:12 2017  commencing in-memory singleton removal
  146. Sat Sep 23 08:09:14 2017  begin with 108190405 relations and 74964779 unique ideals
  147. Sat Sep 23 08:09:33 2017  reduce to 107897936 relations and 70732636 ideals in 7 passes
  148. Sat Sep 23 08:09:33 2017  max relations containing the same ideal: 19
  149. Sat Sep 23 08:09:55 2017  removing 5999780 relations and 3999780 ideals in 2000000 cliques
  150. Sat Sep 23 08:09:57 2017  commencing in-memory singleton removal
  151. Sat Sep 23 08:09:59 2017  begin with 101898156 relations and 70732636 unique ideals
  152. Sat Sep 23 08:10:18 2017  reduce to 101606529 relations and 66435534 ideals in 7 passes
  153. Sat Sep 23 08:10:18 2017  max relations containing the same ideal: 19
  154. Sat Sep 23 08:10:38 2017  removing 6074631 relations and 4074631 ideals in 2000000 cliques
  155. Sat Sep 23 08:10:40 2017  commencing in-memory singleton removal
  156. Sat Sep 23 08:10:42 2017  begin with 95531898 relations and 66435534 unique ideals
  157. Sat Sep 23 08:11:02 2017  reduce to 95245808 relations and 62068972 ideals in 8 passes
  158. Sat Sep 23 08:11:02 2017  max relations containing the same ideal: 19
  159. Sat Sep 23 08:11:22 2017  removing 5989446 relations and 3989446 ideals in 2000000 cliques
  160. Sat Sep 23 08:11:23 2017  commencing in-memory singleton removal
  161. Sat Sep 23 08:11:25 2017  begin with 89256362 relations and 62068972 unique ideals
  162. Sat Sep 23 08:11:43 2017  reduce to 88926144 relations and 57742100 ideals in 8 passes
  163. Sat Sep 23 08:11:43 2017  max relations containing the same ideal: 19
  164. Sat Sep 23 08:12:02 2017  removing 5960221 relations and 3960221 ideals in 2000000 cliques
  165. Sat Sep 23 08:12:04 2017  commencing in-memory singleton removal
  166. Sat Sep 23 08:12:05 2017  begin with 82965923 relations and 57742100 unique ideals
  167. Sat Sep 23 08:12:22 2017  reduce to 82603720 relations and 53411240 ideals in 8 passes
  168. Sat Sep 23 08:12:22 2017  max relations containing the same ideal: 18
  169. Sat Sep 23 08:12:39 2017  removing 6032258 relations and 4032258 ideals in 2000000 cliques
  170. Sat Sep 23 08:12:41 2017  commencing in-memory singleton removal
  171. Sat Sep 23 08:12:42 2017  begin with 76571462 relations and 53411240 unique ideals
  172. Sat Sep 23 08:12:57 2017  reduce to 76178305 relations and 48975997 ideals in 8 passes
  173. Sat Sep 23 08:12:57 2017  max relations containing the same ideal: 18
  174. Sat Sep 23 08:13:13 2017  removing 6012715 relations and 4012715 ideals in 2000000 cliques
  175. Sat Sep 23 08:13:15 2017  commencing in-memory singleton removal
  176. Sat Sep 23 08:13:16 2017  begin with 70165590 relations and 48975997 unique ideals
  177. Sat Sep 23 08:13:32 2017  reduce to 69752861 relations and 44539340 ideals in 9 passes
  178. Sat Sep 23 08:13:32 2017  max relations containing the same ideal: 18
  179. Sat Sep 23 08:13:46 2017  removing 6116083 relations and 4116083 ideals in 2000000 cliques
  180. Sat Sep 23 08:13:47 2017  commencing in-memory singleton removal
  181. Sat Sep 23 08:13:49 2017  begin with 63636778 relations and 44539340 unique ideals
  182. Sat Sep 23 08:14:03 2017  reduce to 63217589 relations and 39992428 ideals in 10 passes
  183. Sat Sep 23 08:14:03 2017  max relations containing the same ideal: 16
  184. Sat Sep 23 08:14:16 2017  removing 6207560 relations and 4207560 ideals in 2000000 cliques
  185. Sat Sep 23 08:14:18 2017  commencing in-memory singleton removal
  186. Sat Sep 23 08:14:19 2017  begin with 57010029 relations and 39992428 unique ideals
  187. Sat Sep 23 08:14:29 2017  reduce to 56606804 relations and 35370642 ideals in 8 passes
  188. Sat Sep 23 08:14:29 2017  max relations containing the same ideal: 15
  189. Sat Sep 23 08:14:41 2017  removing 5087937 relations and 3394604 ideals in 1693333 cliques
  190. Sat Sep 23 08:14:42 2017  commencing in-memory singleton removal
  191. Sat Sep 23 08:14:43 2017  begin with 51518867 relations and 35370642 unique ideals
  192. Sat Sep 23 08:14:54 2017  reduce to 51002206 relations and 31443051 ideals in 10 passes
  193. Sat Sep 23 08:14:54 2017  max relations containing the same ideal: 15
  194. Sat Sep 23 08:15:05 2017  removing 48222 relations and 31896 ideals in 16326 cliques
  195. Sat Sep 23 08:15:05 2017  commencing in-memory singleton removal
  196. Sat Sep 23 08:15:06 2017  begin with 50953984 relations and 31443051 unique ideals
  197. Sat Sep 23 08:15:13 2017  reduce to 50953668 relations and 31410839 ideals in 6 passes
  198. Sat Sep 23 08:15:13 2017  max relations containing the same ideal: 15
  199. Sat Sep 23 08:15:15 2017  relations with 0 large ideals: 5137774
  200. Sat Sep 23 08:15:15 2017  relations with 1 large ideals: 19000122
  201. Sat Sep 23 08:15:15 2017  relations with 2 large ideals: 19834281
  202. Sat Sep 23 08:15:15 2017  relations with 3 large ideals: 6312310
  203. Sat Sep 23 08:15:15 2017  relations with 4 large ideals: 638440
  204. Sat Sep 23 08:15:15 2017  relations with 5 large ideals: 29136
  205. Sat Sep 23 08:15:15 2017  relations with 6 large ideals: 1604
  206. Sat Sep 23 08:15:15 2017  relations with 7+ large ideals: 1
  207. Sat Sep 23 08:15:15 2017  commencing 2-way merge
  208. Sat Sep 23 08:15:27 2017  reduce to 29400644 relation sets and 9857815 unique ideals
  209. Sat Sep 23 08:15:27 2017  commencing full merge
  210. Sat Sep 23 08:16:05 2017  memory use: 1079.8 MB
  211. Sat Sep 23 08:16:07 2017  found 19541549 cycles, need 16847466
  212. Sat Sep 23 08:16:10 2017  weight of 16847466 cycles is about 808345295 (47.98/cycle)
  213. Sat Sep 23 08:16:10 2017  distribution of cycle lengths:
  214. Sat Sep 23 08:16:10 2017  1 relations: 5137774
  215. Sat Sep 23 08:16:10 2017  2 relations: 2648123
  216. Sat Sep 23 08:16:10 2017  3 relations: 2112576
  217. Sat Sep 23 08:16:10 2017  4 relations: 1864837
  218. Sat Sep 23 08:16:10 2017  5 relations: 1643607
  219. Sat Sep 23 08:16:10 2017  6 relations: 1384667
  220. Sat Sep 23 08:16:10 2017  7 relations: 1089554
  221. Sat Sep 23 08:16:10 2017  8 relations: 838036
  222. Sat Sep 23 08:16:10 2017  9 relations: 127882
  223. Sat Sep 23 08:16:10 2017  10+ relations: 410
  224. Sat Sep 23 08:16:10 2017  heaviest cycle: 10 relations
  225. Sat Sep 23 08:16:11 2017  matrix not dense enough, retrying
  226. Sat Sep 23 08:16:12 2017  reading large ideals from disk
  227. Sat Sep 23 08:17:48 2017  keeping 165028086 ideals with weight <= 25, target excess is 15405151
  228. Sat Sep 23 08:19:27 2017  memory use: 5245.5 MB
  229. Sat Sep 23 08:19:27 2017  commencing in-memory singleton removal
  230. Sat Sep 23 08:19:36 2017  begin with 236693089 relations and 165028086 unique ideals
  231. Sat Sep 23 08:20:52 2017  reduce to 236690080 relations and 165025077 ideals in 8 passes
  232. Sat Sep 23 08:20:52 2017  max relations containing the same ideal: 25
  233. Sat Sep 23 08:21:51 2017  removing 11762199 relations and 9762199 ideals in 2000000 cliques
  234. Sat Sep 23 08:21:55 2017  commencing in-memory singleton removal
  235. Sat Sep 23 08:22:01 2017  begin with 224927881 relations and 165025077 unique ideals
  236. Sat Sep 23 08:23:02 2017  reduce to 224452876 relations and 154782456 ideals in 8 passes
  237. Sat Sep 23 08:23:02 2017  max relations containing the same ideal: 25
  238. Sat Sep 23 08:23:50 2017  removing 8755417 relations and 6755417 ideals in 2000000 cliques
  239. Sat Sep 23 08:23:54 2017  commencing in-memory singleton removal
  240. Sat Sep 23 08:24:00 2017  begin with 215697459 relations and 154782456 unique ideals
  241. Sat Sep 23 08:24:50 2017  reduce to 215385853 relations and 147712399 ideals in 7 passes
  242. Sat Sep 23 08:24:50 2017  max relations containing the same ideal: 25
  243. Sat Sep 23 08:25:36 2017  removing 7872599 relations and 5872599 ideals in 2000000 cliques
  244. Sat Sep 23 08:25:39 2017  commencing in-memory singleton removal
  245. Sat Sep 23 08:25:45 2017  begin with 207513254 relations and 147712399 unique ideals
  246. Sat Sep 23 08:26:31 2017  reduce to 207249263 relations and 141573313 ideals in 7 passes
  247. Sat Sep 23 08:26:31 2017  max relations containing the same ideal: 25
  248. Sat Sep 23 08:27:15 2017  removing 7378755 relations and 5378755 ideals in 2000000 cliques
  249. Sat Sep 23 08:27:18 2017  commencing in-memory singleton removal
  250. Sat Sep 23 08:27:24 2017  begin with 199870508 relations and 141573313 unique ideals
  251. Sat Sep 23 08:28:08 2017  reduce to 199630120 relations and 135951906 ideals in 7 passes
  252. Sat Sep 23 08:28:08 2017  max relations containing the same ideal: 25
  253. Sat Sep 23 08:28:50 2017  removing 7061091 relations and 5061091 ideals in 2000000 cliques
  254. Sat Sep 23 08:28:53 2017  commencing in-memory singleton removal
  255. Sat Sep 23 08:28:58 2017  begin with 192569029 relations and 135951906 unique ideals
  256. Sat Sep 23 08:29:40 2017  reduce to 192337887 relations and 130657382 ideals in 7 passes
  257. Sat Sep 23 08:29:40 2017  max relations containing the same ideal: 25
  258. Sat Sep 23 08:30:21 2017  removing 6811722 relations and 4811722 ideals in 2000000 cliques
  259. Sat Sep 23 08:30:24 2017  commencing in-memory singleton removal
  260. Sat Sep 23 08:30:29 2017  begin with 185526165 relations and 130657382 unique ideals
  261. Sat Sep 23 08:31:09 2017  reduce to 185302061 relations and 125619159 ideals in 7 passes
  262. Sat Sep 23 08:31:09 2017  max relations containing the same ideal: 25
  263. Sat Sep 23 08:31:48 2017  removing 6713884 relations and 4713884 ideals in 2000000 cliques
  264. Sat Sep 23 08:31:51 2017  commencing in-memory singleton removal
  265. Sat Sep 23 08:31:55 2017  begin with 178588177 relations and 125619159 unique ideals
  266. Sat Sep 23 08:32:33 2017  reduce to 178379586 relations and 120694410 ideals in 7 passes
  267. Sat Sep 23 08:32:33 2017  max relations containing the same ideal: 25
  268. Sat Sep 23 08:33:11 2017  removing 6535740 relations and 4535740 ideals in 2000000 cliques
  269. Sat Sep 23 08:33:13 2017  commencing in-memory singleton removal
  270. Sat Sep 23 08:33:17 2017  begin with 171843846 relations and 120694410 unique ideals
  271. Sat Sep 23 08:33:48 2017  reduce to 171633849 relations and 115946320 ideals in 6 passes
  272. Sat Sep 23 08:33:48 2017  max relations containing the same ideal: 25
  273. Sat Sep 23 08:34:24 2017  removing 6447416 relations and 4447416 ideals in 2000000 cliques
  274. Sat Sep 23 08:34:27 2017  commencing in-memory singleton removal
  275. Sat Sep 23 08:34:31 2017  begin with 165186433 relations and 115946320 unique ideals
  276. Sat Sep 23 08:35:05 2017  reduce to 164977225 relations and 111287228 ideals in 7 passes
  277. Sat Sep 23 08:35:05 2017  max relations containing the same ideal: 25
  278. Sat Sep 23 08:35:40 2017  removing 6333507 relations and 4333507 ideals in 2000000 cliques
  279. Sat Sep 23 08:35:43 2017  commencing in-memory singleton removal
  280. Sat Sep 23 08:35:46 2017  begin with 158643718 relations and 111287228 unique ideals
  281. Sat Sep 23 08:36:19 2017  reduce to 158428920 relations and 106736183 ideals in 7 passes
  282. Sat Sep 23 08:36:19 2017  max relations containing the same ideal: 25
  283. Sat Sep 23 08:36:52 2017  removing 6325312 relations and 4325312 ideals in 2000000 cliques
  284. Sat Sep 23 08:36:55 2017  commencing in-memory singleton removal
  285. Sat Sep 23 08:36:58 2017  begin with 152103608 relations and 106736183 unique ideals
  286. Sat Sep 23 08:37:29 2017  reduce to 151897618 relations and 102202117 ideals in 7 passes
  287. Sat Sep 23 08:37:29 2017  max relations containing the same ideal: 25
  288. Sat Sep 23 08:38:01 2017  removing 6214708 relations and 4214708 ideals in 2000000 cliques
  289. Sat Sep 23 08:38:04 2017  commencing in-memory singleton removal
  290. Sat Sep 23 08:38:07 2017  begin with 145682910 relations and 102202117 unique ideals
  291. Sat Sep 23 08:38:36 2017  reduce to 145465756 relations and 97767221 ideals in 7 passes
  292. Sat Sep 23 08:38:36 2017  max relations containing the same ideal: 25
  293. Sat Sep 23 08:39:07 2017  removing 6195007 relations and 4195007 ideals in 2000000 cliques
  294. Sat Sep 23 08:39:09 2017  commencing in-memory singleton removal
  295. Sat Sep 23 08:39:12 2017  begin with 139270749 relations and 97767221 unique ideals
  296. Sat Sep 23 08:39:36 2017  reduce to 139051218 relations and 93349523 ideals in 6 passes
  297. Sat Sep 23 08:39:36 2017  max relations containing the same ideal: 25
  298. Sat Sep 23 08:40:05 2017  removing 6145021 relations and 4145021 ideals in 2000000 cliques
  299. Sat Sep 23 08:40:07 2017  commencing in-memory singleton removal
  300. Sat Sep 23 08:40:10 2017  begin with 132906197 relations and 93349523 unique ideals
  301. Sat Sep 23 08:40:43 2017  reduce to 132690267 relations and 88985325 ideals in 9 passes
  302. Sat Sep 23 08:40:43 2017  max relations containing the same ideal: 25
  303. Sat Sep 23 08:41:11 2017  removing 6090841 relations and 4090841 ideals in 2000000 cliques
  304. Sat Sep 23 08:41:13 2017  commencing in-memory singleton removal
  305. Sat Sep 23 08:41:16 2017  begin with 126599426 relations and 88985325 unique ideals
  306. Sat Sep 23 08:41:41 2017  reduce to 126360117 relations and 84651396 ideals in 7 passes
  307. Sat Sep 23 08:41:41 2017  max relations containing the same ideal: 24
  308. Sat Sep 23 08:42:08 2017  removing 6046809 relations and 4046809 ideals in 2000000 cliques
  309. Sat Sep 23 08:42:10 2017  commencing in-memory singleton removal
  310. Sat Sep 23 08:42:12 2017  begin with 120313308 relations and 84651396 unique ideals
  311. Sat Sep 23 08:42:36 2017  reduce to 120057232 relations and 80344175 ideals in 7 passes
  312. Sat Sep 23 08:42:36 2017  max relations containing the same ideal: 24
  313. Sat Sep 23 08:43:01 2017  removing 6068464 relations and 4068464 ideals in 2000000 cliques
  314. Sat Sep 23 08:43:03 2017  commencing in-memory singleton removal
  315. Sat Sep 23 08:43:05 2017  begin with 113988768 relations and 80344175 unique ideals
  316. Sat Sep 23 08:43:27 2017  reduce to 113736943 relations and 76019269 ideals in 7 passes
  317. Sat Sep 23 08:43:27 2017  max relations containing the same ideal: 23
  318. Sat Sep 23 08:43:51 2017  removing 6057549 relations and 4057549 ideals in 2000000 cliques
  319. Sat Sep 23 08:43:53 2017  commencing in-memory singleton removal
  320. Sat Sep 23 08:43:56 2017  begin with 107679394 relations and 76019269 unique ideals
  321. Sat Sep 23 08:44:16 2017  reduce to 107426854 relations and 71704505 ideals in 7 passes
  322. Sat Sep 23 08:44:16 2017  max relations containing the same ideal: 22
  323. Sat Sep 23 08:44:39 2017  removing 6067509 relations and 4067509 ideals in 2000000 cliques
  324. Sat Sep 23 08:44:41 2017  commencing in-memory singleton removal
  325. Sat Sep 23 08:44:43 2017  begin with 101359345 relations and 71704505 unique ideals
  326. Sat Sep 23 08:45:02 2017  reduce to 101094277 relations and 67366930 ideals in 7 passes
  327. Sat Sep 23 08:45:02 2017  max relations containing the same ideal: 22
  328. Sat Sep 23 08:45:23 2017  removing 5926401 relations and 3926401 ideals in 2000000 cliques
  329. Sat Sep 23 08:45:25 2017  commencing in-memory singleton removal
  330. Sat Sep 23 08:45:27 2017  begin with 95167876 relations and 67366930 unique ideals
  331. Sat Sep 23 08:45:47 2017  reduce to 94836394 relations and 63102071 ideals in 8 passes
  332. Sat Sep 23 08:45:47 2017  max relations containing the same ideal: 22
  333. Sat Sep 23 08:46:07 2017  removing 6057119 relations and 4057119 ideals in 2000000 cliques
  334. Sat Sep 23 08:46:09 2017  commencing in-memory singleton removal
  335. Sat Sep 23 08:46:11 2017  begin with 88779275 relations and 63102071 unique ideals
  336. Sat Sep 23 08:46:30 2017  reduce to 88467163 relations and 58726157 ideals in 8 passes
  337. Sat Sep 23 08:46:30 2017  max relations containing the same ideal: 21
  338. Sat Sep 23 08:46:49 2017  removing 6099428 relations and 4099428 ideals in 2000000 cliques
  339. Sat Sep 23 08:46:50 2017  commencing in-memory singleton removal
  340. Sat Sep 23 08:46:52 2017  begin with 82367735 relations and 58726157 unique ideals
  341. Sat Sep 23 08:47:09 2017  reduce to 82041391 relations and 54292975 ideals in 8 passes
  342. Sat Sep 23 08:47:09 2017  max relations containing the same ideal: 20
  343. Sat Sep 23 08:47:27 2017  removing 6046909 relations and 4046909 ideals in 2000000 cliques
  344. Sat Sep 23 08:47:29 2017  commencing in-memory singleton removal
  345. Sat Sep 23 08:47:30 2017  begin with 75994482 relations and 54292975 unique ideals
  346. Sat Sep 23 08:47:44 2017  reduce to 75621005 relations and 49863433 ideals in 7 passes
  347. Sat Sep 23 08:47:44 2017  max relations containing the same ideal: 20
  348. Sat Sep 23 08:48:00 2017  removing 6007597 relations and 4007597 ideals in 2000000 cliques
  349. Sat Sep 23 08:48:02 2017  commencing in-memory singleton removal
  350. Sat Sep 23 08:48:03 2017  begin with 69613408 relations and 49863433 unique ideals
  351. Sat Sep 23 08:48:17 2017  reduce to 69188811 relations and 45419736 ideals in 8 passes
  352. Sat Sep 23 08:48:17 2017  max relations containing the same ideal: 19
  353. Sat Sep 23 08:48:32 2017  removing 6138319 relations and 4138319 ideals in 2000000 cliques
  354. Sat Sep 23 08:48:34 2017  commencing in-memory singleton removal
  355. Sat Sep 23 08:48:35 2017  begin with 63050492 relations and 45419736 unique ideals
  356. Sat Sep 23 08:48:47 2017  reduce to 62599140 relations and 40816881 ideals in 8 passes
  357. Sat Sep 23 08:48:47 2017  max relations containing the same ideal: 19
  358. Sat Sep 23 08:49:01 2017  removing 6127704 relations and 4127704 ideals in 2000000 cliques
  359. Sat Sep 23 08:49:02 2017  commencing in-memory singleton removal
  360. Sat Sep 23 08:49:03 2017  begin with 56471436 relations and 40816881 unique ideals
  361. Sat Sep 23 08:49:16 2017  reduce to 55969696 relations and 36171234 ideals in 9 passes
  362. Sat Sep 23 08:49:16 2017  max relations containing the same ideal: 19
  363. Sat Sep 23 08:49:27 2017  removing 5986776 relations and 4058290 ideals in 1928486 cliques
  364. Sat Sep 23 08:49:29 2017  commencing in-memory singleton removal
  365. Sat Sep 23 08:49:30 2017  begin with 49982920 relations and 36171234 unique ideals
  366. Sat Sep 23 08:49:40 2017  reduce to 49486172 relations and 31599470 ideals in 9 passes
  367. Sat Sep 23 08:49:40 2017  max relations containing the same ideal: 18
  368. Sat Sep 23 08:49:51 2017  removing 52361 relations and 35635 ideals in 16726 cliques
  369. Sat Sep 23 08:49:51 2017  commencing in-memory singleton removal
  370. Sat Sep 23 08:49:52 2017  begin with 49433811 relations and 31599470 unique ideals
  371. Sat Sep 23 08:49:58 2017  reduce to 49433467 relations and 31563491 ideals in 5 passes
  372. Sat Sep 23 08:49:58 2017  max relations containing the same ideal: 18
  373. Sat Sep 23 08:50:00 2017  relations with 0 large ideals: 4087521
  374. Sat Sep 23 08:50:00 2017  relations with 1 large ideals: 16510924
  375. Sat Sep 23 08:50:00 2017  relations with 2 large ideals: 19686727
  376. Sat Sep 23 08:50:00 2017  relations with 3 large ideals: 7910628
  377. Sat Sep 23 08:50:00 2017  relations with 4 large ideals: 1156513
  378. Sat Sep 23 08:50:00 2017  relations with 5 large ideals: 77214
  379. Sat Sep 23 08:50:00 2017  relations with 6 large ideals: 3904
  380. Sat Sep 23 08:50:00 2017  relations with 7+ large ideals: 36
  381. Sat Sep 23 08:50:00 2017  commencing 2-way merge
  382. Sat Sep 23 08:50:12 2017  reduce to 28959183 relation sets and 11089207 unique ideals
  383. Sat Sep 23 08:50:12 2017  commencing full merge
  384. Sat Sep 23 08:51:04 2017  memory use: 1162.3 MB
  385. Sat Sep 23 08:51:06 2017  found 17848603 cycles, need 15405351
  386. Sat Sep 23 08:51:09 2017  weight of 15405351 cycles is about 927650851 (60.22/cycle)
  387. Sat Sep 23 08:51:09 2017  distribution of cycle lengths:
  388. Sat Sep 23 08:51:09 2017  1 relations: 4087521
  389. Sat Sep 23 08:51:09 2017  2 relations: 2058322
  390. Sat Sep 23 08:51:09 2017  3 relations: 1601957
  391. Sat Sep 23 08:51:09 2017  4 relations: 1422677
  392. Sat Sep 23 08:51:09 2017  5 relations: 1314023
  393. Sat Sep 23 08:51:09 2017  6 relations: 1182994
  394. Sat Sep 23 08:51:09 2017  7 relations: 1059659
  395. Sat Sep 23 08:51:09 2017  8 relations: 905660
  396. Sat Sep 23 08:51:09 2017  9 relations: 766905
  397. Sat Sep 23 08:51:09 2017  10+ relations: 1005633
  398. Sat Sep 23 08:51:09 2017  heaviest cycle: 14 relations
  399. Sat Sep 23 08:51:09 2017  matrix not dense enough, retrying
  400. Sat Sep 23 08:51:11 2017  reading large ideals from disk
  401. Sat Sep 23 08:52:39 2017  keeping 166781220 ideals with weight <= 30, target excess is 13652017
  402. Sat Sep 23 08:54:07 2017  memory use: 5245.5 MB
  403. Sat Sep 23 08:54:07 2017  commencing in-memory singleton removal
  404. Sat Sep 23 08:54:14 2017  begin with 236693089 relations and 166781220 unique ideals
  405. Sat Sep 23 08:55:19 2017  reduce to 236690080 relations and 166778211 ideals in 8 passes
  406. Sat Sep 23 08:55:19 2017  max relations containing the same ideal: 30
  407. Sat Sep 23 08:56:12 2017  removing 11830517 relations and 9830517 ideals in 2000000 cliques
  408. Sat Sep 23 08:56:16 2017  commencing in-memory singleton removal
  409. Sat Sep 23 08:56:23 2017  begin with 224859563 relations and 166778211 unique ideals
  410. Sat Sep 23 08:57:25 2017  reduce to 224388284 relations and 156471098 ideals in 8 passes
  411. Sat Sep 23 08:57:25 2017  max relations containing the same ideal: 30
  412. Sat Sep 23 08:58:14 2017  removing 8814211 relations and 6814211 ideals in 2000000 cliques
  413. Sat Sep 23 08:58:18 2017  commencing in-memory singleton removal
  414. Sat Sep 23 08:58:24 2017  begin with 215574073 relations and 156471098 unique ideals
  415. Sat Sep 23 08:59:15 2017  reduce to 215265446 relations and 149345299 ideals in 7 passes
  416. Sat Sep 23 08:59:15 2017  max relations containing the same ideal: 30
  417. Sat Sep 23 09:00:03 2017  removing 7895824 relations and 5895824 ideals in 2000000 cliques
  418. Sat Sep 23 09:00:06 2017  commencing in-memory singleton removal
  419. Sat Sep 23 09:00:12 2017  begin with 207369622 relations and 149345299 unique ideals
  420. Sat Sep 23 09:01:00 2017  reduce to 207105819 relations and 143183151 ideals in 7 passes
  421. Sat Sep 23 09:01:00 2017  max relations containing the same ideal: 30
  422. Sat Sep 23 09:01:45 2017  removing 7428121 relations and 5428121 ideals in 2000000 cliques
  423. Sat Sep 23 09:01:48 2017  commencing in-memory singleton removal
  424. Sat Sep 23 09:01:54 2017  begin with 199677698 relations and 143183151 unique ideals
  425. Sat Sep 23 09:02:40 2017  reduce to 199438322 relations and 137513427 ideals in 7 passes
  426. Sat Sep 23 09:02:40 2017  max relations containing the same ideal: 30
  427. Sat Sep 23 09:03:23 2017  removing 7098737 relations and 5098737 ideals in 2000000 cliques
  428. Sat Sep 23 09:03:26 2017  commencing in-memory singleton removal
  429. Sat Sep 23 09:03:32 2017  begin with 192339585 relations and 137513427 unique ideals
  430. Sat Sep 23 09:04:15 2017  reduce to 192113785 relations and 132186563 ideals in 7 passes
  431. Sat Sep 23 09:04:15 2017  max relations containing the same ideal: 30
  432. Sat Sep 23 09:04:57 2017  removing 6878872 relations and 4878872 ideals in 2000000 cliques
  433. Sat Sep 23 09:05:00 2017  commencing in-memory singleton removal
  434. Sat Sep 23 09:05:05 2017  begin with 185234913 relations and 132186563 unique ideals
  435. Sat Sep 23 09:05:47 2017  reduce to 185019086 relations and 127089647 ideals in 7 passes
  436. Sat Sep 23 09:05:47 2017  max relations containing the same ideal: 30
  437. Sat Sep 23 09:06:27 2017  removing 6704989 relations and 4704989 ideals in 2000000 cliques
  438. Sat Sep 23 09:06:30 2017  commencing in-memory singleton removal
  439. Sat Sep 23 09:06:34 2017  begin with 178314097 relations and 127089647 unique ideals
  440. Sat Sep 23 09:07:14 2017  reduce to 178101358 relations and 122169606 ideals in 7 passes
  441. Sat Sep 23 09:07:14 2017  max relations containing the same ideal: 30
  442. Sat Sep 23 09:07:52 2017  removing 6571748 relations and 4571748 ideals in 2000000 cliques
  443. Sat Sep 23 09:07:55 2017  commencing in-memory singleton removal
  444. Sat Sep 23 09:08:00 2017  begin with 171529610 relations and 122169606 unique ideals
  445. Sat Sep 23 09:08:37 2017  reduce to 171321005 relations and 117386925 ideals in 7 passes
  446. Sat Sep 23 09:08:37 2017  max relations containing the same ideal: 30
  447. Sat Sep 23 09:09:14 2017  removing 6444290 relations and 4444290 ideals in 2000000 cliques
  448. Sat Sep 23 09:09:17 2017  commencing in-memory singleton removal
  449. Sat Sep 23 09:09:21 2017  begin with 164876715 relations and 117386925 unique ideals
  450. Sat Sep 23 09:09:57 2017  reduce to 164667352 relations and 112730827 ideals in 7 passes
  451. Sat Sep 23 09:09:57 2017  max relations containing the same ideal: 30
  452. Sat Sep 23 09:10:32 2017  removing 6413257 relations and 4413257 ideals in 2000000 cliques
  453. Sat Sep 23 09:10:35 2017  commencing in-memory singleton removal
  454. Sat Sep 23 09:10:39 2017  begin with 158254095 relations and 112730827 unique ideals
  455. Sat Sep 23 09:11:13 2017  reduce to 158049325 relations and 108110275 ideals in 7 passes
  456. Sat Sep 23 09:11:13 2017  max relations containing the same ideal: 30
  457. Sat Sep 23 09:11:47 2017  removing 6287503 relations and 4287503 ideals in 2000000 cliques
  458. Sat Sep 23 09:11:50 2017  commencing in-memory singleton removal
  459. Sat Sep 23 09:11:53 2017  begin with 151761822 relations and 108110275 unique ideals
  460. Sat Sep 23 09:12:21 2017  reduce to 151552269 relations and 103610452 ideals in 6 passes
  461. Sat Sep 23 09:12:21 2017  max relations containing the same ideal: 30
  462. Sat Sep 23 09:12:54 2017  removing 6288138 relations and 4288138 ideals in 2000000 cliques
  463. Sat Sep 23 09:12:56 2017  commencing in-memory singleton removal
  464. Sat Sep 23 09:13:00 2017  begin with 145264131 relations and 103610452 unique ideals
  465. Sat Sep 23 09:13:30 2017  reduce to 145056567 relations and 99111954 ideals in 7 passes
  466. Sat Sep 23 09:13:30 2017  max relations containing the same ideal: 29
  467. Sat Sep 23 09:14:02 2017  removing 6195095 relations and 4195095 ideals in 2000000 cliques
  468. Sat Sep 23 09:14:04 2017  commencing in-memory singleton removal
  469. Sat Sep 23 09:14:07 2017  begin with 138861472 relations and 99111954 unique ideals
  470. Sat Sep 23 09:14:36 2017  reduce to 138646447 relations and 94698727 ideals in 7 passes
  471. Sat Sep 23 09:14:36 2017  max relations containing the same ideal: 29
  472. Sat Sep 23 09:15:06 2017  removing 6145282 relations and 4145282 ideals in 2000000 cliques
  473. Sat Sep 23 09:15:08 2017  commencing in-memory singleton removal
  474. Sat Sep 23 09:15:12 2017  begin with 132501165 relations and 94698727 unique ideals
  475. Sat Sep 23 09:15:43 2017  reduce to 132272598 relations and 90321397 ideals in 8 passes
  476. Sat Sep 23 09:15:43 2017  max relations containing the same ideal: 29
  477. Sat Sep 23 09:16:11 2017  removing 6164022 relations and 4164022 ideals in 2000000 cliques
  478. Sat Sep 23 09:16:14 2017  commencing in-memory singleton removal
  479. Sat Sep 23 09:16:17 2017  begin with 126108576 relations and 90321397 unique ideals
  480. Sat Sep 23 09:16:42 2017  reduce to 125884022 relations and 85929318 ideals in 7 passes
  481. Sat Sep 23 09:16:42 2017  max relations containing the same ideal: 29
  482. Sat Sep 23 09:17:10 2017  removing 6102134 relations and 4102134 ideals in 2000000 cliques
  483. Sat Sep 23 09:17:12 2017  commencing in-memory singleton removal
  484. Sat Sep 23 09:17:15 2017  begin with 119781888 relations and 85929318 unique ideals
  485. Sat Sep 23 09:17:39 2017  reduce to 119551557 relations and 81593161 ideals in 7 passes
  486. Sat Sep 23 09:17:39 2017  max relations containing the same ideal: 28
  487. Sat Sep 23 09:18:05 2017  removing 6105480 relations and 4105480 ideals in 2000000 cliques
  488. Sat Sep 23 09:18:07 2017  commencing in-memory singleton removal
  489. Sat Sep 23 09:18:10 2017  begin with 113446077 relations and 81593161 unique ideals
  490. Sat Sep 23 09:18:32 2017  reduce to 113207216 relations and 77244833 ideals in 7 passes
  491. Sat Sep 23 09:18:32 2017  max relations containing the same ideal: 28
  492. Sat Sep 23 09:18:57 2017  removing 6000311 relations and 4000311 ideals in 2000000 cliques
  493. Sat Sep 23 09:18:59 2017  commencing in-memory singleton removal
  494. Sat Sep 23 09:19:01 2017  begin with 107206905 relations and 77244833 unique ideals
  495. Sat Sep 23 09:19:22 2017  reduce to 106927829 relations and 72960187 ideals in 7 passes
  496. Sat Sep 23 09:19:22 2017  max relations containing the same ideal: 26
  497. Sat Sep 23 09:19:46 2017  removing 6042274 relations and 4042274 ideals in 2000000 cliques
  498. Sat Sep 23 09:19:48 2017  commencing in-memory singleton removal
  499. Sat Sep 23 09:19:50 2017  begin with 100885555 relations and 72960187 unique ideals
  500. Sat Sep 23 09:20:10 2017  reduce to 100607244 relations and 68634144 ideals in 7 passes
  501. Sat Sep 23 09:20:10 2017  max relations containing the same ideal: 26
  502. Sat Sep 23 09:20:32 2017  removing 6087191 relations and 4087191 ideals in 2000000 cliques
  503. Sat Sep 23 09:20:34 2017  commencing in-memory singleton removal
  504. Sat Sep 23 09:20:36 2017  begin with 94520053 relations and 68634144 unique ideals
  505. Sat Sep 23 09:20:57 2017  reduce to 94236535 relations and 64257531 ideals in 8 passes
  506. Sat Sep 23 09:20:57 2017  max relations containing the same ideal: 26
  507. Sat Sep 23 09:21:17 2017  removing 6068622 relations and 4068622 ideals in 2000000 cliques
  508. Sat Sep 23 09:21:19 2017  commencing in-memory singleton removal
  509. Sat Sep 23 09:21:21 2017  begin with 88167913 relations and 64257531 unique ideals
  510. Sat Sep 23 09:21:38 2017  reduce to 87870022 relations and 59884522 ideals in 7 passes
  511. Sat Sep 23 09:21:38 2017  max relations containing the same ideal: 26
  512. Sat Sep 23 09:21:57 2017  removing 6097125 relations and 4097125 ideals in 2000000 cliques
  513. Sat Sep 23 09:21:59 2017  commencing in-memory singleton removal
  514. Sat Sep 23 09:22:01 2017  begin with 81772897 relations and 59884522 unique ideals
  515. Sat Sep 23 09:22:18 2017  reduce to 81454965 relations and 55462280 ideals in 8 passes
  516. Sat Sep 23 09:22:18 2017  max relations containing the same ideal: 23
  517. Sat Sep 23 09:22:36 2017  removing 6001925 relations and 4001925 ideals in 2000000 cliques
  518. Sat Sep 23 09:22:38 2017  commencing in-memory singleton removal
  519. Sat Sep 23 09:22:39 2017  begin with 75453040 relations and 55462280 unique ideals
  520. Sat Sep 23 09:22:53 2017  reduce to 75060586 relations and 51058135 ideals in 7 passes
  521. Sat Sep 23 09:22:53 2017  max relations containing the same ideal: 23
  522. Sat Sep 23 09:23:09 2017  removing 6137847 relations and 4137847 ideals in 2000000 cliques
  523. Sat Sep 23 09:23:11 2017  commencing in-memory singleton removal
  524. Sat Sep 23 09:23:13 2017  begin with 68922739 relations and 51058135 unique ideals
  525. Sat Sep 23 09:23:27 2017  reduce to 68541032 relations and 46528671 ideals in 8 passes
  526. Sat Sep 23 09:23:27 2017  max relations containing the same ideal: 23
  527. Sat Sep 23 09:23:41 2017  removing 6182977 relations and 4182977 ideals in 2000000 cliques
  528. Sat Sep 23 09:23:43 2017  commencing in-memory singleton removal
  529. Sat Sep 23 09:23:44 2017  begin with 62358055 relations and 46528671 unique ideals
  530. Sat Sep 23 09:23:57 2017  reduce to 61933663 relations and 41909216 ideals in 8 passes
  531. Sat Sep 23 09:23:57 2017  max relations containing the same ideal: 21
  532. Sat Sep 23 09:24:10 2017  removing 6206596 relations and 4206596 ideals in 2000000 cliques
  533. Sat Sep 23 09:24:12 2017  commencing in-memory singleton removal
  534. Sat Sep 23 09:24:13 2017  begin with 55727067 relations and 41909216 unique ideals
  535. Sat Sep 23 09:24:25 2017  reduce to 55251969 relations and 37212962 ideals in 9 passes
  536. Sat Sep 23 09:24:25 2017  max relations containing the same ideal: 21
  537. Sat Sep 23 09:24:37 2017  removing 6198575 relations and 4198575 ideals in 2000000 cliques
  538. Sat Sep 23 09:24:38 2017  commencing in-memory singleton removal
  539. Sat Sep 23 09:24:39 2017  begin with 49053394 relations and 37212962 unique ideals
  540. Sat Sep 23 09:24:52 2017  reduce to 48484919 relations and 32426097 ideals in 11 passes
  541. Sat Sep 23 09:24:52 2017  max relations containing the same ideal: 20
  542. Sat Sep 23 09:25:02 2017  removing 726302 relations and 503820 ideals in 222482 cliques
  543. Sat Sep 23 09:25:03 2017  commencing in-memory singleton removal
  544. Sat Sep 23 09:25:04 2017  begin with 47758617 relations and 32426097 unique ideals
  545. Sat Sep 23 09:25:12 2017  reduce to 47735075 relations and 31898573 ideals in 7 passes
  546. Sat Sep 23 09:25:12 2017  max relations containing the same ideal: 20
  547. Sat Sep 23 09:25:23 2017  relations with 0 large ideals: 2999358
  548. Sat Sep 23 09:25:23 2017  relations with 1 large ideals: 13392725
  549. Sat Sep 23 09:25:23 2017  relations with 2 large ideals: 18850869
  550. Sat Sep 23 09:25:23 2017  relations with 3 large ideals: 10068443
  551. Sat Sep 23 09:25:23 2017  relations with 4 large ideals: 2188916
  552. Sat Sep 23 09:25:23 2017  relations with 5 large ideals: 219765
  553. Sat Sep 23 09:25:23 2017  relations with 6 large ideals: 14432
  554. Sat Sep 23 09:25:23 2017  relations with 7+ large ideals: 567
  555. Sat Sep 23 09:25:23 2017  commencing 2-way merge
  556. Sat Sep 23 09:25:34 2017  reduce to 28214744 relation sets and 12378242 unique ideals
  557. Sat Sep 23 09:25:34 2017  commencing full merge
  558. Sat Sep 23 09:26:53 2017  memory use: 1272.5 MB
  559. Sat Sep 23 09:26:55 2017  found 15506824 cycles, need 13652217
  560. Sat Sep 23 09:26:57 2017  weight of 13652217 cycles is about 1213088546 (88.86/cycle)
  561. Sat Sep 23 09:26:57 2017  distribution of cycle lengths:
  562. Sat Sep 23 09:26:57 2017  1 relations: 2999358
  563. Sat Sep 23 09:26:57 2017  2 relations: 1421592
  564. Sat Sep 23 09:26:57 2017  3 relations: 1057770
  565. Sat Sep 23 09:26:57 2017  4 relations: 911878
  566. Sat Sep 23 09:26:57 2017  5 relations: 849189
  567. Sat Sep 23 09:26:57 2017  6 relations: 796950
  568. Sat Sep 23 09:26:57 2017  7 relations: 760811
  569. Sat Sep 23 09:26:57 2017  8 relations: 715976
  570. Sat Sep 23 09:26:57 2017  9 relations: 674815
  571. Sat Sep 23 09:26:57 2017  10+ relations: 3463878
  572. Sat Sep 23 09:26:57 2017  heaviest cycle: 20 relations
  573. Sat Sep 23 09:26:58 2017  commencing cycle optimization
  574. Sat Sep 23 09:27:12 2017  start with 83285609 relations
  575. Sat Sep 23 09:28:34 2017  pruned 7648414 relations
  576. Sat Sep 23 09:28:34 2017  memory use: 2398.6 MB
  577. Sat Sep 23 09:28:34 2017  distribution of cycle lengths:
  578. Sat Sep 23 09:28:34 2017  1 relations: 2999358
  579. Sat Sep 23 09:28:34 2017  2 relations: 1479088
  580. Sat Sep 23 09:28:34 2017  3 relations: 1134306
  581. Sat Sep 23 09:28:34 2017  4 relations: 997803
  582. Sat Sep 23 09:28:34 2017  5 relations: 958497
  583. Sat Sep 23 09:28:34 2017  6 relations: 917494
  584. Sat Sep 23 09:28:34 2017  7 relations: 890534
  585. Sat Sep 23 09:28:34 2017  8 relations: 834793
  586. Sat Sep 23 09:28:34 2017  9 relations: 771141
  587. Sat Sep 23 09:28:34 2017  10+ relations: 2669203
  588. Sat Sep 23 09:28:34 2017  heaviest cycle: 20 relations
  589. Sat Sep 23 09:28:41 2017  RelProcTime: 12927
  590. Sat Sep 23 09:28:41 2017  
  591. Sat Sep 23 09:28:41 2017  commencing linear algebra
  592. Sat Sep 23 09:28:52 2017  read 13652217 cycles
  593. Sat Sep 23 09:29:08 2017  cycles contain 39621388 unique relations
  594. Sat Sep 23 09:32:37 2017  read 39621388 relations
  595. Sat Sep 23 09:33:24 2017  using 20 quadratic characters above 4294917295
  596. Sat Sep 23 09:35:45 2017  building initial matrix
  597. Sat Sep 23 09:40:56 2017  memory use: 5574.2 MB
  598. Sat Sep 23 09:41:01 2017  read 13652217 cycles
  599. Sat Sep 23 09:41:02 2017  matrix is 13648937 x 13652217 (4640.6 MB) with weight 1426599353 (104.50/col)
  600. Sat Sep 23 09:41:02 2017  sparse part has weight 1052672280 (77.11/col)
  601. Sat Sep 23 09:43:32 2017  filtering completed in 3 passes
  602. Sat Sep 23 09:43:34 2017  matrix is 13580885 x 13581085 (4626.5 MB) with weight 1421975994 (104.70/col)
  603. Sat Sep 23 09:43:34 2017  sparse part has weight 1049844819 (77.30/col)
  604. Sat Sep 23 09:43:58 2017  matrix starts at (0, 0)
  605. Sat Sep 23 09:44:00 2017  matrix is 13580885 x 13581085 (4626.5 MB) with weight 1421975994 (104.70/col)
  606. Sat Sep 23 09:44:00 2017  sparse part has weight 1049844819 (77.30/col)
  607. Sat Sep 23 09:44:00 2017  saving the first 48 matrix rows for later
  608. Sat Sep 23 09:44:02 2017  matrix includes 64 packed rows
  609. Sat Sep 23 09:44:03 2017  matrix is 13580837 x 13581085 (4469.6 MB) with weight 1157889231 (85.26/col)
  610. Sat Sep 23 09:44:03 2017  sparse part has weight 1035856069 (76.27/col)
  611. Sat Sep 23 09:44:03 2017  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  612. Sat Sep 23 09:44:48 2017  commencing Lanczos iteration (4 threads)
  613. Sat Sep 23 09:44:48 2017  memory use: 3682.4 MB
  614. Sat Sep 23 09:45:38 2017  linear algebra at 0.0%, ETA 119h16m
  615. Sat Sep 23 09:45:54 2017  checkpointing every 120000 dimensions
  616. Thu Sep 28 05:13:59 2017  lanczos halted after 214757 iterations (dim = 13580836)
  617. Thu Sep 28 05:14:10 2017  recovered 29 nontrivial dependencies
  618. Thu Sep 28 05:14:10 2017  BLanczosTime: 416729
  619. Thu Sep 28 05:14:10 2017  
  620. Thu Sep 28 05:14:10 2017  commencing square root phase
  621. Thu Sep 28 05:14:10 2017  handling dependencies 1 to 64
  622. Thu Sep 28 05:14:10 2017  reading relations for dependency 1
  623. Thu Sep 28 05:14:11 2017  read 6791478 cycles
  624. Thu Sep 28 05:14:18 2017  cycles contain 19775266 unique relations
  625. Thu Sep 28 05:16:17 2017  read 19775266 relations
  626. Thu Sep 28 05:17:23 2017  multiplying 19775266 relations
  627. Thu Sep 28 05:40:03 2017  multiply complete, coefficients have about 1213.33 million bits
  628. Thu Sep 28 05:40:09 2017  initial square root is modulo 277213
  629. Thu Sep 28 06:06:21 2017  sqrtTime: 3131
  630. Thu Sep 28 06:06:21 2017  p56 factor: 86086983998301697516501108333593979507791427403555442271
  631. Thu Sep 28 06:06:21 2017  p117 factor: 190883950677116913600476364502363858918643907209852006644091054606495306144398872299710782478172931777388654692254863
  632. Thu Sep 28 06:06:21 2017  elapsed time 120:13:08
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