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Msieve log of C173_434040_3116

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Dec 14th, 2021
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  1. Sat Dec 11 05:57:30 2021
  2. Sat Dec 11 05:57:30 2021
  3. Sat Dec 11 05:57:30 2021 Msieve v. 1.53 (SVN 988)
  4. Sat Dec 11 05:57:30 2021 random seeds: 2ae706a0 b5a52daf
  5. Sat Dec 11 05:57:30 2021 factoring 12050776075231502882593817068581935601907280737083782443835243959335820952907283930452767542745654050294346215107560812052214734803541991962255830406798550871348635810889991 (173 digits)
  6. Sat Dec 11 05:57:32 2021 searching for 15-digit factors
  7. Sat Dec 11 05:57:32 2021 commencing number field sieve (173-digit input)
  8. Sat Dec 11 05:57:32 2021 R0: -3945819765830405543714409705318041
  9. Sat Dec 11 05:57:32 2021 R1: 1681345343107820263583
  10. Sat Dec 11 05:57:32 2021 A0: 15345155390883208777550444433706102143744
  11. Sat Dec 11 05:57:32 2021 A1: -1027991494173220824074402840627824
  12. Sat Dec 11 05:57:32 2021 A2: 2326408125025888247170706661
  13. Sat Dec 11 05:57:32 2021 A3: -162918487541952775091
  14. Sat Dec 11 05:57:32 2021 A4: -17054394020490
  15. Sat Dec 11 05:57:32 2021 A5: 75600
  16. Sat Dec 11 05:57:32 2021 skew 16153366.22, size 1.137e-016, alpha -7.732, combined = 3.187e-013 rroots = 3
  17. Sat Dec 11 05:57:32 2021
  18. Sat Dec 11 05:57:32 2021 commencing relation filtering
  19. Sat Dec 11 05:57:32 2021 setting target matrix density to 110.0
  20. Sat Dec 11 05:57:32 2021 estimated available RAM is 12041.5 MB
  21. Sat Dec 11 05:57:32 2021 commencing duplicate removal, pass 1
  22. Sat Dec 11 05:59:59 2021 error -5 reading relation 11341551
  23. Sat Dec 11 06:00:00 2021 error -1 reading relation 11424756
  24. Sat Dec 11 06:00:00 2021 error -15 reading relation 11424907
  25. Sat Dec 11 06:00:01 2021 error -15 reading relation 11493828
  26. Sat Dec 11 06:00:02 2021 error -15 reading relation 11632179
  27. Sat Dec 11 06:00:02 2021 error -1 reading relation 11632441
  28. Sat Dec 11 06:00:06 2021 error -9 reading relation 11902385
  29. Sat Dec 11 06:00:06 2021 error -15 reading relation 11902685
  30. Sat Dec 11 06:00:07 2021 error -9 reading relation 11952050
  31. Sat Dec 11 06:00:07 2021 error -9 reading relation 11952126
  32. Sat Dec 11 06:00:08 2021 error -9 reading relation 12050609
  33. Sat Dec 11 06:00:08 2021 error -15 reading relation 12050834
  34. Sat Dec 11 06:00:08 2021 error -9 reading relation 12077688
  35. Sat Dec 11 06:00:09 2021 error -9 reading relation 12150251
  36. Sat Dec 11 06:00:09 2021 error -15 reading relation 12150478
  37. Sat Dec 11 06:00:10 2021 error -15 reading relation 12203923
  38. Sat Dec 11 06:00:10 2021 error -15 reading relation 12216414
  39. Sat Dec 11 06:00:10 2021 error -5 reading relation 12216525
  40. Sat Dec 11 06:00:15 2021 error -15 reading relation 12549519
  41. Sat Dec 11 06:00:15 2021 error -9 reading relation 12549745
  42. Sat Dec 11 06:00:16 2021 error -9 reading relation 12630467
  43. Sat Dec 11 06:00:16 2021 error -15 reading relation 12660734
  44. Sat Dec 11 06:00:16 2021 error -15 reading relation 12660997
  45. Sat Dec 11 06:00:17 2021 error -15 reading relation 12742732
  46. Sat Dec 11 06:00:17 2021 error -15 reading relation 12742957
  47. Sat Dec 11 06:00:18 2021 error -15 reading relation 12785032
  48. Sat Dec 11 06:00:18 2021 error -1 reading relation 12785257
  49. Sat Dec 11 06:00:18 2021 error -1 reading relation 12811669
  50. Sat Dec 11 06:00:18 2021 error -15 reading relation 12811970
  51. Sat Dec 11 06:00:21 2021 error -15 reading relation 13020714
  52. Sat Dec 11 06:00:26 2021 error -15 reading relation 13355639
  53. Sat Dec 11 06:00:26 2021 error -5 reading relation 13355939
  54. Sat Dec 11 06:00:34 2021 error -15 reading relation 14030095
  55. Sat Dec 11 06:00:34 2021 error -15 reading relation 14030396
  56. Sat Dec 11 06:00:35 2021 error -15 reading relation 14073857
  57. Sat Dec 11 06:00:35 2021 error -9 reading relation 14074120
  58. Sat Dec 11 06:01:59 2021 error -9 reading relation 20557021
  59. Sat Dec 11 06:04:12 2021 error -15 reading relation 30786285
  60. Sat Dec 11 06:04:38 2021 error -15 reading relation 32712522
  61. Sat Dec 11 06:04:41 2021 error -15 reading relation 32944319
  62. Sat Dec 11 06:04:42 2021 error -9 reading relation 33061784
  63. Sat Dec 11 06:07:49 2021 error -9 reading relation 47389111
  64. Sat Dec 11 06:08:03 2021 error -15 reading relation 48398514
  65. Sat Dec 11 06:08:47 2021 error -1 reading relation 51674902
  66. Sat Dec 11 06:12:01 2021 error -9 reading relation 66157921
  67. Sat Dec 11 06:12:22 2021 error -9 reading relation 67733315
  68. Sat Dec 11 06:12:23 2021 error -15 reading relation 67848161
  69. Sat Dec 11 06:12:24 2021 error -15 reading relation 67895096
  70. Sat Dec 11 06:12:25 2021 error -9 reading relation 67997627
  71. Sat Dec 11 06:12:26 2021 error -9 reading relation 68039326
  72. Sat Dec 11 06:13:02 2021 error -1 reading relation 70801912
  73. Sat Dec 11 06:13:11 2021 error -15 reading relation 71465187
  74. Sat Dec 11 06:13:22 2021 error -1 reading relation 72258109
  75. Sat Dec 11 06:14:05 2021 error -15 reading relation 75599766
  76. Sat Dec 11 06:19:06 2021 error -9 reading relation 98186534
  77. Sat Dec 11 06:21:29 2021 error -15 reading relation 108449057
  78. Sat Dec 11 06:23:06 2021 error -1 reading relation 115079481
  79. Sat Dec 11 06:24:21 2021 error -9 reading relation 120133644
  80. Sat Dec 11 06:25:22 2021 error -15 reading relation 124202525
  81. Sat Dec 11 06:25:28 2021 error -15 reading relation 124597879
  82. Sat Dec 11 06:26:05 2021 error -9 reading relation 127210473
  83. Sat Dec 11 06:26:10 2021 error -9 reading relation 127564129
  84. Sat Dec 11 06:29:30 2021 error -15 reading relation 142559015
  85. Sat Dec 11 06:30:40 2021 error -9 reading relation 147811883
  86. Sat Dec 11 06:31:06 2021 error -1 reading relation 149643398
  87. Sat Dec 11 06:31:29 2021 error -9 reading relation 151313738
  88. Sat Dec 11 06:31:33 2021 error -15 reading relation 151569955
  89. Sat Dec 11 06:33:55 2021 error -9 reading relation 161104104
  90. Sat Dec 11 06:34:10 2021 error -9 reading relation 162133885
  91. Sat Dec 11 06:34:16 2021 error -15 reading relation 162526612
  92. Sat Dec 11 06:34:24 2021 error -1 reading relation 163078152
  93. Sat Dec 11 06:34:25 2021 error -9 reading relation 163105881
  94. Sat Dec 11 06:34:35 2021 error -9 reading relation 163860126
  95. Sat Dec 11 06:36:45 2021 error -9 reading relation 173553760
  96. Sat Dec 11 06:36:53 2021 error -15 reading relation 174035285
  97. Sat Dec 11 06:36:57 2021 error -15 reading relation 174257207
  98. Sat Dec 11 06:38:30 2021 error -9 reading relation 180734783
  99. Sat Dec 11 06:39:27 2021 error -5 reading relation 185017620
  100. Sat Dec 11 06:39:35 2021 error -9 reading relation 185555839
  101. Sat Dec 11 06:41:15 2021 error -1 reading relation 192735847
  102. Sat Dec 11 06:43:12 2021 error -15 reading relation 201420358
  103. Sat Dec 11 06:43:30 2021 error -9 reading relation 202627929
  104. Sat Dec 11 06:43:37 2021 error -15 reading relation 203062237
  105. Sat Dec 11 06:44:18 2021 error -9 reading relation 205826439
  106. Sat Dec 11 06:45:49 2021 error -15 reading relation 212389208
  107. Sat Dec 11 06:46:18 2021 error -1 reading relation 214677473
  108. Sat Dec 11 06:46:18 2021 error -15 reading relation 214677768
  109. Sat Dec 11 06:46:27 2021 error -15 reading relation 215341094
  110. Sat Dec 11 06:46:28 2021 error -5 reading relation 215440194
  111. Sat Dec 11 06:46:42 2021 error -15 reading relation 216482637
  112. Sat Dec 11 06:47:35 2021 error -9 reading relation 220297420
  113. Sat Dec 11 06:50:07 2021 error -9 reading relation 231950961
  114. Sat Dec 11 06:51:07 2021 error -15 reading relation 236750638
  115. Sat Dec 11 06:51:08 2021 error -15 reading relation 236825258
  116. Sat Dec 11 06:52:09 2021 error -9 reading relation 241465072
  117. Sat Dec 11 06:53:16 2021 error -9 reading relation 246734231
  118. Sat Dec 11 06:53:22 2021 error -15 reading relation 247168196
  119. Sat Dec 11 06:53:49 2021 error -9 reading relation 249322005
  120. Sat Dec 11 06:53:49 2021 error -15 reading relation 249362187
  121. Sat Dec 11 06:54:52 2021 error -1 reading relation 254343817
  122. Sat Dec 11 06:55:37 2021 error -1 reading relation 257794080
  123. Sat Dec 11 06:56:08 2021 error -15 reading relation 260316993
  124. Sat Dec 11 06:56:35 2021 error -9 reading relation 262594027
  125. Sat Dec 11 06:56:36 2021 error -15 reading relation 262597100
  126. Sat Dec 11 06:56:37 2021 error -15 reading relation 262743686
  127. Sat Dec 11 06:56:40 2021 error -9 reading relation 262929905
  128. Sat Dec 11 06:58:04 2021 error -1 reading relation 269902445
  129. Sat Dec 11 06:58:04 2021 error -9 reading relation 269902779
  130. Sat Dec 11 06:58:33 2021 error -9 reading relation 272160196
  131. Sat Dec 11 06:58:33 2021 error -15 reading relation 272171142
  132. Sat Dec 11 06:58:34 2021 error -15 reading relation 272227457
  133. Sat Dec 11 06:58:36 2021 error -15 reading relation 272355738
  134. Sat Dec 11 07:00:44 2021 error -9 reading relation 282525245
  135. Sat Dec 11 07:00:58 2021 skipped 69 relations with composite factors
  136. Sat Dec 11 07:00:58 2021 found 52748008 hash collisions in 283634209 relations
  137. Sat Dec 11 07:01:36 2021 added 121485 free relations
  138. Sat Dec 11 07:01:36 2021 commencing duplicate removal, pass 2
  139. Sat Dec 11 07:06:00 2021 found 48377739 duplicates and 235377955 unique relations
  140. Sat Dec 11 07:06:00 2021 memory use: 1321.5 MB
  141. Sat Dec 11 07:06:00 2021 reading ideals above 116064256
  142. Sat Dec 11 07:06:00 2021 commencing singleton removal, initial pass
  143. Sat Dec 11 07:45:33 2021 memory use: 5512.0 MB
  144. Sat Dec 11 07:45:33 2021 reading all ideals from disk
  145. Sat Dec 11 07:45:41 2021 memory use: 4081.2 MB
  146. Sat Dec 11 07:45:56 2021 commencing in-memory singleton removal
  147. Sat Dec 11 07:46:12 2021 begin with 235377955 relations and 169709537 unique ideals
  148. Sat Dec 11 07:48:25 2021 reduce to 179494566 relations and 109766582 ideals in 11 passes
  149. Sat Dec 11 07:48:25 2021 max relations containing the same ideal: 34
  150. Sat Dec 11 07:48:44 2021 reading ideals above 720000
  151. Sat Dec 11 07:48:45 2021 commencing singleton removal, initial pass
  152. Sat Dec 11 08:29:48 2021 memory use: 3012.0 MB
  153. Sat Dec 11 08:29:48 2021 reading large ideals from disk
  154. Sat Dec 11 08:34:47 2021 keeping 113004138 ideals with weight <= 20, target excess is 10021686
  155. Sat Dec 11 08:39:36 2021 memory use: 3724.3 MB
  156. Sat Dec 11 08:39:36 2021 commencing in-memory singleton removal
  157. Sat Dec 11 08:39:47 2021 begin with 179494566 relations and 113004138 unique ideals
  158. Sat Dec 11 08:40:27 2021 reduce to 179494511 relations and 113004083 ideals in 4 passes
  159. Sat Dec 11 08:40:27 2021 max relations containing the same ideal: 20
  160. Sat Dec 11 08:41:30 2021 removing 8183334 relations and 6183334 ideals in 2000000 cliques
  161. Sat Dec 11 08:41:35 2021 commencing in-memory singleton removal
  162. Sat Dec 11 08:41:45 2021 begin with 171311177 relations and 113004083 unique ideals
  163. Sat Dec 11 08:42:52 2021 reduce to 170962971 relations and 106467296 ideals in 7 passes
  164. Sat Dec 11 08:42:52 2021 max relations containing the same ideal: 20
  165. Sat Dec 11 08:43:51 2021 removing 6386582 relations and 4386582 ideals in 2000000 cliques
  166. Sat Dec 11 08:43:55 2021 commencing in-memory singleton removal
  167. Sat Dec 11 08:44:05 2021 begin with 164576389 relations and 106467296 unique ideals
  168. Sat Dec 11 08:44:59 2021 reduce to 164341570 relations and 101842813 ideals in 6 passes
  169. Sat Dec 11 08:44:59 2021 max relations containing the same ideal: 20
  170. Sat Dec 11 08:45:56 2021 removing 5937888 relations and 3937888 ideals in 2000000 cliques
  171. Sat Dec 11 08:46:00 2021 commencing in-memory singleton removal
  172. Sat Dec 11 08:46:09 2021 begin with 158403682 relations and 101842813 unique ideals
  173. Sat Dec 11 08:47:09 2021 reduce to 158207762 relations and 97706543 ideals in 7 passes
  174. Sat Dec 11 08:47:09 2021 max relations containing the same ideal: 20
  175. Sat Dec 11 08:48:04 2021 removing 5694568 relations and 3694568 ideals in 2000000 cliques
  176. Sat Dec 11 08:48:08 2021 commencing in-memory singleton removal
  177. Sat Dec 11 08:48:17 2021 begin with 152513194 relations and 97706543 unique ideals
  178. Sat Dec 11 08:49:07 2021 reduce to 152338105 relations and 93834638 ideals in 6 passes
  179. Sat Dec 11 08:49:07 2021 max relations containing the same ideal: 20
  180. Sat Dec 11 08:50:00 2021 removing 5551059 relations and 3551059 ideals in 2000000 cliques
  181. Sat Dec 11 08:50:04 2021 commencing in-memory singleton removal
  182. Sat Dec 11 08:50:12 2021 begin with 146787046 relations and 93834638 unique ideals
  183. Sat Dec 11 08:51:07 2021 reduce to 146627063 relations and 90121530 ideals in 7 passes
  184. Sat Dec 11 08:51:07 2021 max relations containing the same ideal: 20
  185. Sat Dec 11 08:51:59 2021 removing 5415862 relations and 3415862 ideals in 2000000 cliques
  186. Sat Dec 11 08:52:02 2021 commencing in-memory singleton removal
  187. Sat Dec 11 08:52:10 2021 begin with 141211201 relations and 90121530 unique ideals
  188. Sat Dec 11 08:52:55 2021 reduce to 141051009 relations and 86543265 ideals in 6 passes
  189. Sat Dec 11 08:52:55 2021 max relations containing the same ideal: 20
  190. Sat Dec 11 08:53:44 2021 removing 5355871 relations and 3355871 ideals in 2000000 cliques
  191. Sat Dec 11 08:53:48 2021 commencing in-memory singleton removal
  192. Sat Dec 11 08:53:56 2021 begin with 135695138 relations and 86543265 unique ideals
  193. Sat Dec 11 08:54:45 2021 reduce to 135548057 relations and 83038177 ideals in 7 passes
  194. Sat Dec 11 08:54:45 2021 max relations containing the same ideal: 20
  195. Sat Dec 11 08:55:33 2021 removing 5264011 relations and 3264011 ideals in 2000000 cliques
  196. Sat Dec 11 08:55:36 2021 commencing in-memory singleton removal
  197. Sat Dec 11 08:55:43 2021 begin with 130284046 relations and 83038177 unique ideals
  198. Sat Dec 11 08:56:23 2021 reduce to 130140253 relations and 79628213 ideals in 6 passes
  199. Sat Dec 11 08:56:23 2021 max relations containing the same ideal: 20
  200. Sat Dec 11 08:57:09 2021 removing 5162369 relations and 3162369 ideals in 2000000 cliques
  201. Sat Dec 11 08:57:12 2021 commencing in-memory singleton removal
  202. Sat Dec 11 08:57:19 2021 begin with 124977884 relations and 79628213 unique ideals
  203. Sat Dec 11 08:57:57 2021 reduce to 124822572 relations and 76308064 ideals in 6 passes
  204. Sat Dec 11 08:57:57 2021 max relations containing the same ideal: 20
  205. Sat Dec 11 08:58:41 2021 removing 5179351 relations and 3179351 ideals in 2000000 cliques
  206. Sat Dec 11 08:58:44 2021 commencing in-memory singleton removal
  207. Sat Dec 11 08:58:51 2021 begin with 119643221 relations and 76308064 unique ideals
  208. Sat Dec 11 08:59:28 2021 reduce to 119503267 relations and 72986598 ideals in 6 passes
  209. Sat Dec 11 08:59:28 2021 max relations containing the same ideal: 20
  210. Sat Dec 11 09:00:10 2021 removing 5096654 relations and 3096654 ideals in 2000000 cliques
  211. Sat Dec 11 09:00:13 2021 commencing in-memory singleton removal
  212. Sat Dec 11 09:00:19 2021 begin with 114406613 relations and 72986598 unique ideals
  213. Sat Dec 11 09:00:54 2021 reduce to 114254836 relations and 69735688 ideals in 6 passes
  214. Sat Dec 11 09:00:54 2021 max relations containing the same ideal: 20
  215. Sat Dec 11 09:01:34 2021 removing 5110581 relations and 3110581 ideals in 2000000 cliques
  216. Sat Dec 11 09:01:37 2021 commencing in-memory singleton removal
  217. Sat Dec 11 09:01:43 2021 begin with 109144255 relations and 69735688 unique ideals
  218. Sat Dec 11 09:02:16 2021 reduce to 109006439 relations and 66484877 ideals in 6 passes
  219. Sat Dec 11 09:02:16 2021 max relations containing the same ideal: 20
  220. Sat Dec 11 09:02:54 2021 removing 5013650 relations and 3013650 ideals in 2000000 cliques
  221. Sat Dec 11 09:02:57 2021 commencing in-memory singleton removal
  222. Sat Dec 11 09:03:02 2021 begin with 103992789 relations and 66484877 unique ideals
  223. Sat Dec 11 09:03:33 2021 reduce to 103836098 relations and 63311569 ideals in 6 passes
  224. Sat Dec 11 09:03:33 2021 max relations containing the same ideal: 20
  225. Sat Dec 11 09:04:09 2021 removing 5040106 relations and 3040106 ideals in 2000000 cliques
  226. Sat Dec 11 09:04:12 2021 commencing in-memory singleton removal
  227. Sat Dec 11 09:04:18 2021 begin with 98795992 relations and 63311569 unique ideals
  228. Sat Dec 11 09:04:47 2021 reduce to 98640859 relations and 60113386 ideals in 6 passes
  229. Sat Dec 11 09:04:47 2021 max relations containing the same ideal: 20
  230. Sat Dec 11 09:05:21 2021 removing 5025130 relations and 3025130 ideals in 2000000 cliques
  231. Sat Dec 11 09:05:24 2021 commencing in-memory singleton removal
  232. Sat Dec 11 09:05:29 2021 begin with 93615729 relations and 60113386 unique ideals
  233. Sat Dec 11 09:05:56 2021 reduce to 93459968 relations and 56929370 ideals in 6 passes
  234. Sat Dec 11 09:05:56 2021 max relations containing the same ideal: 20
  235. Sat Dec 11 09:06:29 2021 removing 4955960 relations and 2955960 ideals in 2000000 cliques
  236. Sat Dec 11 09:06:31 2021 commencing in-memory singleton removal
  237. Sat Dec 11 09:06:36 2021 begin with 88504008 relations and 56929370 unique ideals
  238. Sat Dec 11 09:07:01 2021 reduce to 88333313 relations and 53799062 ideals in 6 passes
  239. Sat Dec 11 09:07:01 2021 max relations containing the same ideal: 20
  240. Sat Dec 11 09:07:32 2021 removing 5000061 relations and 3000061 ideals in 2000000 cliques
  241. Sat Dec 11 09:07:34 2021 commencing in-memory singleton removal
  242. Sat Dec 11 09:07:38 2021 begin with 83333252 relations and 53799062 unique ideals
  243. Sat Dec 11 09:08:02 2021 reduce to 83157314 relations and 50619105 ideals in 6 passes
  244. Sat Dec 11 09:08:02 2021 max relations containing the same ideal: 20
  245. Sat Dec 11 09:08:31 2021 removing 4952952 relations and 2952952 ideals in 2000000 cliques
  246. Sat Dec 11 09:08:33 2021 commencing in-memory singleton removal
  247. Sat Dec 11 09:08:37 2021 begin with 78204362 relations and 50619105 unique ideals
  248. Sat Dec 11 09:09:02 2021 reduce to 78022187 relations and 47479650 ideals in 7 passes
  249. Sat Dec 11 09:09:02 2021 max relations containing the same ideal: 19
  250. Sat Dec 11 09:09:29 2021 removing 4961282 relations and 2961282 ideals in 2000000 cliques
  251. Sat Dec 11 09:09:32 2021 commencing in-memory singleton removal
  252. Sat Dec 11 09:09:35 2021 begin with 73060905 relations and 47479650 unique ideals
  253. Sat Dec 11 09:09:58 2021 reduce to 72868004 relations and 44320901 ideals in 7 passes
  254. Sat Dec 11 09:09:58 2021 max relations containing the same ideal: 19
  255. Sat Dec 11 09:10:24 2021 removing 4998183 relations and 2998183 ideals in 2000000 cliques
  256. Sat Dec 11 09:10:26 2021 commencing in-memory singleton removal
  257. Sat Dec 11 09:10:29 2021 begin with 67869821 relations and 44320901 unique ideals
  258. Sat Dec 11 09:10:48 2021 reduce to 67675728 relations and 41123833 ideals in 6 passes
  259. Sat Dec 11 09:10:48 2021 max relations containing the same ideal: 18
  260. Sat Dec 11 09:11:11 2021 removing 4987335 relations and 2987335 ideals in 2000000 cliques
  261. Sat Dec 11 09:11:13 2021 commencing in-memory singleton removal
  262. Sat Dec 11 09:11:16 2021 begin with 62688393 relations and 41123833 unique ideals
  263. Sat Dec 11 09:11:38 2021 reduce to 62485683 relations and 37928885 ideals in 8 passes
  264. Sat Dec 11 09:11:38 2021 max relations containing the same ideal: 18
  265. Sat Dec 11 09:11:59 2021 removing 4994444 relations and 2994444 ideals in 2000000 cliques
  266. Sat Dec 11 09:12:02 2021 commencing in-memory singleton removal
  267. Sat Dec 11 09:12:04 2021 begin with 57491239 relations and 37928885 unique ideals
  268. Sat Dec 11 09:12:22 2021 reduce to 57221704 relations and 34657328 ideals in 7 passes
  269. Sat Dec 11 09:12:22 2021 max relations containing the same ideal: 18
  270. Sat Dec 11 09:12:42 2021 removing 4949542 relations and 2949542 ideals in 2000000 cliques
  271. Sat Dec 11 09:12:44 2021 commencing in-memory singleton removal
  272. Sat Dec 11 09:12:46 2021 begin with 52272162 relations and 34657328 unique ideals
  273. Sat Dec 11 09:13:02 2021 reduce to 51927710 relations and 31351304 ideals in 7 passes
  274. Sat Dec 11 09:13:02 2021 max relations containing the same ideal: 18
  275. Sat Dec 11 09:13:21 2021 removing 5041640 relations and 3041640 ideals in 2000000 cliques
  276. Sat Dec 11 09:13:23 2021 commencing in-memory singleton removal
  277. Sat Dec 11 09:13:25 2021 begin with 46886070 relations and 31351304 unique ideals
  278. Sat Dec 11 09:13:38 2021 reduce to 46559174 relations and 27970459 ideals in 7 passes
  279. Sat Dec 11 09:13:38 2021 max relations containing the same ideal: 17
  280. Sat Dec 11 09:13:54 2021 removing 5105684 relations and 3105684 ideals in 2000000 cliques
  281. Sat Dec 11 09:13:56 2021 commencing in-memory singleton removal
  282. Sat Dec 11 09:13:58 2021 begin with 41453490 relations and 27970459 unique ideals
  283. Sat Dec 11 09:14:10 2021 reduce to 41103392 relations and 24500588 ideals in 7 passes
  284. Sat Dec 11 09:14:10 2021 max relations containing the same ideal: 16
  285. Sat Dec 11 09:14:25 2021 removing 5083171 relations and 3083171 ideals in 2000000 cliques
  286. Sat Dec 11 09:14:27 2021 commencing in-memory singleton removal
  287. Sat Dec 11 09:14:28 2021 begin with 36020221 relations and 24500588 unique ideals
  288. Sat Dec 11 09:14:38 2021 reduce to 35535361 relations and 20909576 ideals in 7 passes
  289. Sat Dec 11 09:14:38 2021 max relations containing the same ideal: 15
  290. Sat Dec 11 09:14:50 2021 removing 5177725 relations and 3177725 ideals in 2000000 cliques
  291. Sat Dec 11 09:14:52 2021 commencing in-memory singleton removal
  292. Sat Dec 11 09:14:53 2021 begin with 30357636 relations and 20909576 unique ideals
  293. Sat Dec 11 09:15:02 2021 reduce to 29828994 relations and 17173474 ideals in 8 passes
  294. Sat Dec 11 09:15:02 2021 max relations containing the same ideal: 15
  295. Sat Dec 11 09:15:13 2021 removing 2689521 relations and 1659157 ideals in 1030364 cliques
  296. Sat Dec 11 09:15:14 2021 commencing in-memory singleton removal
  297. Sat Dec 11 09:15:15 2021 begin with 27139473 relations and 17173474 unique ideals
  298. Sat Dec 11 09:15:23 2021 reduce to 26859136 relations and 15221329 ideals in 8 passes
  299. Sat Dec 11 09:15:23 2021 max relations containing the same ideal: 15
  300. Sat Dec 11 09:15:32 2021 removing 33345 relations and 20694 ideals in 12651 cliques
  301. Sat Dec 11 09:15:33 2021 commencing in-memory singleton removal
  302. Sat Dec 11 09:15:34 2021 begin with 26825791 relations and 15221329 unique ideals
  303. Sat Dec 11 09:15:38 2021 reduce to 26825460 relations and 15200304 ideals in 5 passes
  304. Sat Dec 11 09:15:38 2021 max relations containing the same ideal: 15
  305. Sat Dec 11 09:15:40 2021 relations with 0 large ideals: 3159746
  306. Sat Dec 11 09:15:40 2021 relations with 1 large ideals: 11205754
  307. Sat Dec 11 09:15:40 2021 relations with 2 large ideals: 10012567
  308. Sat Dec 11 09:15:40 2021 relations with 3 large ideals: 2268864
  309. Sat Dec 11 09:15:40 2021 relations with 4 large ideals: 170049
  310. Sat Dec 11 09:15:40 2021 relations with 5 large ideals: 7167
  311. Sat Dec 11 09:15:40 2021 relations with 6 large ideals: 1313
  312. Sat Dec 11 09:15:40 2021 relations with 7+ large ideals: 0
  313. Sat Dec 11 09:15:40 2021 commencing 2-way merge
  314. Sat Dec 11 09:15:52 2021 reduce to 16489227 relation sets and 4864071 unique ideals
  315. Sat Dec 11 09:15:52 2021 commencing full merge
  316. Sat Dec 11 09:16:25 2021 memory use: 560.1 MB
  317. Sat Dec 11 09:16:30 2021 found 11625134 cycles, need 10021886
  318. Sat Dec 11 09:16:31 2021 weight of 10021886 cycles is about 412152442 (41.13/cycle)
  319. Sat Dec 11 09:16:31 2021 distribution of cycle lengths:
  320. Sat Dec 11 09:16:31 2021 1 relations: 3159746
  321. Sat Dec 11 09:16:31 2021 2 relations: 1846003
  322. Sat Dec 11 09:16:31 2021 3 relations: 1676394
  323. Sat Dec 11 09:16:31 2021 4 relations: 1406300
  324. Sat Dec 11 09:16:31 2021 5 relations: 1081058
  325. Sat Dec 11 09:16:31 2021 6 relations: 768198
  326. Sat Dec 11 09:16:31 2021 7 relations: 84147
  327. Sat Dec 11 09:16:31 2021 8 relations: 40
  328. Sat Dec 11 09:16:31 2021 9 relations: 0
  329. Sat Dec 11 09:16:31 2021 10+ relations: 0
  330. Sat Dec 11 09:16:31 2021 heaviest cycle: 8 relations
  331. Sat Dec 11 09:16:31 2021 matrix not dense enough, retrying
  332. Sat Dec 11 09:16:33 2021 reading large ideals from disk
  333. Sat Dec 11 09:21:13 2021 keeping 113929333 ideals with weight <= 25, target excess is 9096491
  334. Sat Dec 11 09:25:56 2021 memory use: 5026.5 MB
  335. Sat Dec 11 09:25:56 2021 commencing in-memory singleton removal
  336. Sat Dec 11 09:26:07 2021 begin with 179494566 relations and 113929333 unique ideals
  337. Sat Dec 11 09:26:47 2021 reduce to 179494511 relations and 113929278 ideals in 4 passes
  338. Sat Dec 11 09:26:47 2021 max relations containing the same ideal: 25
  339. Sat Dec 11 09:27:51 2021 removing 8217799 relations and 6217799 ideals in 2000000 cliques
  340. Sat Dec 11 09:27:56 2021 commencing in-memory singleton removal
  341. Sat Dec 11 09:28:06 2021 begin with 171276712 relations and 113929278 unique ideals
  342. Sat Dec 11 09:29:15 2021 reduce to 170929430 relations and 107358987 ideals in 7 passes
  343. Sat Dec 11 09:29:15 2021 max relations containing the same ideal: 25
  344. Sat Dec 11 09:30:15 2021 removing 6419544 relations and 4419544 ideals in 2000000 cliques
  345. Sat Dec 11 09:30:19 2021 commencing in-memory singleton removal
  346. Sat Dec 11 09:30:29 2021 begin with 164509886 relations and 107358987 unique ideals
  347. Sat Dec 11 09:31:25 2021 reduce to 164275743 relations and 102702251 ideals in 6 passes
  348. Sat Dec 11 09:31:25 2021 max relations containing the same ideal: 25
  349. Sat Dec 11 09:32:24 2021 removing 5961659 relations and 3961659 ideals in 2000000 cliques
  350. Sat Dec 11 09:32:28 2021 commencing in-memory singleton removal
  351. Sat Dec 11 09:32:37 2021 begin with 158314084 relations and 102702251 unique ideals
  352. Sat Dec 11 09:33:38 2021 reduce to 158120024 relations and 98544031 ideals in 7 passes
  353. Sat Dec 11 09:33:38 2021 max relations containing the same ideal: 25
  354. Sat Dec 11 09:34:35 2021 removing 5721126 relations and 3721126 ideals in 2000000 cliques
  355. Sat Dec 11 09:34:39 2021 commencing in-memory singleton removal
  356. Sat Dec 11 09:34:49 2021 begin with 152398898 relations and 98544031 unique ideals
  357. Sat Dec 11 09:35:40 2021 reduce to 152227563 relations and 94649368 ideals in 6 passes
  358. Sat Dec 11 09:35:40 2021 max relations containing the same ideal: 25
  359. Sat Dec 11 09:36:34 2021 removing 5555359 relations and 3555359 ideals in 2000000 cliques
  360. Sat Dec 11 09:36:38 2021 commencing in-memory singleton removal
  361. Sat Dec 11 09:36:46 2021 begin with 146672204 relations and 94649368 unique ideals
  362. Sat Dec 11 09:37:35 2021 reduce to 146508759 relations and 90928390 ideals in 6 passes
  363. Sat Dec 11 09:37:35 2021 max relations containing the same ideal: 25
  364. Sat Dec 11 09:38:27 2021 removing 5434480 relations and 3434480 ideals in 2000000 cliques
  365. Sat Dec 11 09:38:30 2021 commencing in-memory singleton removal
  366. Sat Dec 11 09:38:39 2021 begin with 141074279 relations and 90928390 unique ideals
  367. Sat Dec 11 09:39:26 2021 reduce to 140922558 relations and 87340151 ideals in 6 passes
  368. Sat Dec 11 09:39:26 2021 max relations containing the same ideal: 25
  369. Sat Dec 11 09:40:17 2021 removing 5315466 relations and 3315466 ideals in 2000000 cliques
  370. Sat Dec 11 09:40:20 2021 commencing in-memory singleton removal
  371. Sat Dec 11 09:40:28 2021 begin with 135607092 relations and 87340151 unique ideals
  372. Sat Dec 11 09:41:13 2021 reduce to 135451737 relations and 83866989 ideals in 6 passes
  373. Sat Dec 11 09:41:13 2021 max relations containing the same ideal: 25
  374. Sat Dec 11 09:42:02 2021 removing 5288436 relations and 3288436 ideals in 2000000 cliques
  375. Sat Dec 11 09:42:05 2021 commencing in-memory singleton removal
  376. Sat Dec 11 09:42:13 2021 begin with 130163301 relations and 83866989 unique ideals
  377. Sat Dec 11 09:42:55 2021 reduce to 130020208 relations and 80433423 ideals in 6 passes
  378. Sat Dec 11 09:42:55 2021 max relations containing the same ideal: 25
  379. Sat Dec 11 09:43:42 2021 removing 5224550 relations and 3224550 ideals in 2000000 cliques
  380. Sat Dec 11 09:43:45 2021 commencing in-memory singleton removal
  381. Sat Dec 11 09:43:52 2021 begin with 124795658 relations and 80433423 unique ideals
  382. Sat Dec 11 09:44:32 2021 reduce to 124653882 relations and 77064858 ideals in 6 passes
  383. Sat Dec 11 09:44:32 2021 max relations containing the same ideal: 25
  384. Sat Dec 11 09:45:17 2021 removing 5128507 relations and 3128507 ideals in 2000000 cliques
  385. Sat Dec 11 09:45:20 2021 commencing in-memory singleton removal
  386. Sat Dec 11 09:45:27 2021 begin with 119525375 relations and 77064858 unique ideals
  387. Sat Dec 11 09:46:05 2021 reduce to 119374044 relations and 73782523 ideals in 6 passes
  388. Sat Dec 11 09:46:05 2021 max relations containing the same ideal: 25
  389. Sat Dec 11 09:46:48 2021 removing 5146066 relations and 3146066 ideals in 2000000 cliques
  390. Sat Dec 11 09:46:51 2021 commencing in-memory singleton removal
  391. Sat Dec 11 09:46:58 2021 begin with 114227978 relations and 73782523 unique ideals
  392. Sat Dec 11 09:47:34 2021 reduce to 114086013 relations and 70492100 ideals in 6 passes
  393. Sat Dec 11 09:47:34 2021 max relations containing the same ideal: 25
  394. Sat Dec 11 09:48:16 2021 removing 5067749 relations and 3067749 ideals in 2000000 cliques
  395. Sat Dec 11 09:48:19 2021 commencing in-memory singleton removal
  396. Sat Dec 11 09:48:24 2021 begin with 109018264 relations and 70492100 unique ideals
  397. Sat Dec 11 09:48:59 2021 reduce to 108868294 relations and 67271721 ideals in 6 passes
  398. Sat Dec 11 09:48:59 2021 max relations containing the same ideal: 25
  399. Sat Dec 11 09:49:39 2021 removing 5076169 relations and 3076169 ideals in 2000000 cliques
  400. Sat Dec 11 09:49:42 2021 commencing in-memory singleton removal
  401. Sat Dec 11 09:49:47 2021 begin with 103792125 relations and 67271721 unique ideals
  402. Sat Dec 11 09:50:19 2021 reduce to 103648061 relations and 64048843 ideals in 6 passes
  403. Sat Dec 11 09:50:19 2021 max relations containing the same ideal: 25
  404. Sat Dec 11 09:50:57 2021 removing 5002445 relations and 3002445 ideals in 2000000 cliques
  405. Sat Dec 11 09:51:00 2021 commencing in-memory singleton removal
  406. Sat Dec 11 09:51:05 2021 begin with 98645616 relations and 64048843 unique ideals
  407. Sat Dec 11 09:51:30 2021 reduce to 98485645 relations and 60883298 ideals in 5 passes
  408. Sat Dec 11 09:51:30 2021 max relations containing the same ideal: 25
  409. Sat Dec 11 09:52:06 2021 removing 5010595 relations and 3010595 ideals in 2000000 cliques
  410. Sat Dec 11 09:52:09 2021 commencing in-memory singleton removal
  411. Sat Dec 11 09:52:14 2021 begin with 93475050 relations and 60883298 unique ideals
  412. Sat Dec 11 09:52:43 2021 reduce to 93315271 relations and 57709712 ideals in 6 passes
  413. Sat Dec 11 09:52:43 2021 max relations containing the same ideal: 24
  414. Sat Dec 11 09:53:16 2021 removing 5011851 relations and 3011851 ideals in 2000000 cliques
  415. Sat Dec 11 09:53:19 2021 commencing in-memory singleton removal
  416. Sat Dec 11 09:53:24 2021 begin with 88303420 relations and 57709712 unique ideals
  417. Sat Dec 11 09:53:50 2021 reduce to 88141110 relations and 54532156 ideals in 6 passes
  418. Sat Dec 11 09:53:50 2021 max relations containing the same ideal: 23
  419. Sat Dec 11 09:54:22 2021 removing 4962927 relations and 2962927 ideals in 2000000 cliques
  420. Sat Dec 11 09:54:25 2021 commencing in-memory singleton removal
  421. Sat Dec 11 09:54:29 2021 begin with 83178183 relations and 54532156 unique ideals
  422. Sat Dec 11 09:54:53 2021 reduce to 83007898 relations and 51395097 ideals in 6 passes
  423. Sat Dec 11 09:54:53 2021 max relations containing the same ideal: 23
  424. Sat Dec 11 09:55:23 2021 removing 4983123 relations and 2983123 ideals in 2000000 cliques
  425. Sat Dec 11 09:55:26 2021 commencing in-memory singleton removal
  426. Sat Dec 11 09:55:30 2021 begin with 78024775 relations and 51395097 unique ideals
  427. Sat Dec 11 09:55:52 2021 reduce to 77837609 relations and 48220493 ideals in 6 passes
  428. Sat Dec 11 09:55:52 2021 max relations containing the same ideal: 23
  429. Sat Dec 11 09:56:20 2021 removing 4966522 relations and 2966522 ideals in 2000000 cliques
  430. Sat Dec 11 09:56:23 2021 commencing in-memory singleton removal
  431. Sat Dec 11 09:56:26 2021 begin with 72871087 relations and 48220493 unique ideals
  432. Sat Dec 11 09:56:50 2021 reduce to 72676414 relations and 45054468 ideals in 7 passes
  433. Sat Dec 11 09:56:50 2021 max relations containing the same ideal: 22
  434. Sat Dec 11 09:57:17 2021 removing 4980807 relations and 2980807 ideals in 2000000 cliques
  435. Sat Dec 11 09:57:19 2021 commencing in-memory singleton removal
  436. Sat Dec 11 09:57:22 2021 begin with 67695607 relations and 45054468 unique ideals
  437. Sat Dec 11 09:57:44 2021 reduce to 67491173 relations and 41864016 ideals in 7 passes
  438. Sat Dec 11 09:57:44 2021 max relations containing the same ideal: 22
  439. Sat Dec 11 09:58:09 2021 removing 4983432 relations and 2983432 ideals in 2000000 cliques
  440. Sat Dec 11 09:58:11 2021 commencing in-memory singleton removal
  441. Sat Dec 11 09:58:14 2021 begin with 62507741 relations and 41864016 unique ideals
  442. Sat Dec 11 09:58:31 2021 reduce to 62287370 relations and 38654246 ideals in 6 passes
  443. Sat Dec 11 09:58:31 2021 max relations containing the same ideal: 22
  444. Sat Dec 11 09:58:53 2021 removing 5009674 relations and 3009674 ideals in 2000000 cliques
  445. Sat Dec 11 09:58:56 2021 commencing in-memory singleton removal
  446. Sat Dec 11 09:58:58 2021 begin with 57277696 relations and 38654246 unique ideals
  447. Sat Dec 11 09:59:17 2021 reduce to 57044478 relations and 35404814 ideals in 7 passes
  448. Sat Dec 11 09:59:17 2021 max relations containing the same ideal: 21
  449. Sat Dec 11 09:59:37 2021 removing 5034003 relations and 3034003 ideals in 2000000 cliques
  450. Sat Dec 11 09:59:39 2021 commencing in-memory singleton removal
  451. Sat Dec 11 09:59:42 2021 begin with 52010475 relations and 35404814 unique ideals
  452. Sat Dec 11 09:59:58 2021 reduce to 51758595 relations and 32111739 ideals in 7 passes
  453. Sat Dec 11 09:59:58 2021 max relations containing the same ideal: 20
  454. Sat Dec 11 10:00:17 2021 removing 5040376 relations and 3040376 ideals in 2000000 cliques
  455. Sat Dec 11 10:00:19 2021 commencing in-memory singleton removal
  456. Sat Dec 11 10:00:21 2021 begin with 46718219 relations and 32111739 unique ideals
  457. Sat Dec 11 10:00:35 2021 reduce to 46366666 relations and 28707868 ideals in 7 passes
  458. Sat Dec 11 10:00:35 2021 max relations containing the same ideal: 18
  459. Sat Dec 11 10:00:52 2021 removing 5051985 relations and 3051985 ideals in 2000000 cliques
  460. Sat Dec 11 10:00:55 2021 commencing in-memory singleton removal
  461. Sat Dec 11 10:00:56 2021 begin with 41314681 relations and 28707868 unique ideals
  462. Sat Dec 11 10:01:09 2021 reduce to 40896567 relations and 25220375 ideals in 7 passes
  463. Sat Dec 11 10:01:09 2021 max relations containing the same ideal: 17
  464. Sat Dec 11 10:01:24 2021 removing 5171740 relations and 3171740 ideals in 2000000 cliques
  465. Sat Dec 11 10:01:26 2021 commencing in-memory singleton removal
  466. Sat Dec 11 10:01:27 2021 begin with 35724827 relations and 25220375 unique ideals
  467. Sat Dec 11 10:01:37 2021 reduce to 35300049 relations and 21604729 ideals in 7 passes
  468. Sat Dec 11 10:01:37 2021 max relations containing the same ideal: 16
  469. Sat Dec 11 10:01:51 2021 removing 5199433 relations and 3199433 ideals in 2000000 cliques
  470. Sat Dec 11 10:01:53 2021 commencing in-memory singleton removal
  471. Sat Dec 11 10:01:54 2021 begin with 30100616 relations and 21604729 unique ideals
  472. Sat Dec 11 10:02:03 2021 reduce to 29539030 relations and 17813166 ideals in 8 passes
  473. Sat Dec 11 10:02:03 2021 max relations containing the same ideal: 15
  474. Sat Dec 11 10:02:14 2021 removing 3127873 relations and 1953939 ideals in 1173934 cliques
  475. Sat Dec 11 10:02:15 2021 commencing in-memory singleton removal
  476. Sat Dec 11 10:02:16 2021 begin with 26411157 relations and 17813166 unique ideals
  477. Sat Dec 11 10:02:24 2021 reduce to 26063894 relations and 15496237 ideals in 8 passes
  478. Sat Dec 11 10:02:24 2021 max relations containing the same ideal: 15
  479. Sat Dec 11 10:02:34 2021 removing 45244 relations and 29517 ideals in 15727 cliques
  480. Sat Dec 11 10:02:34 2021 commencing in-memory singleton removal
  481. Sat Dec 11 10:02:35 2021 begin with 26018650 relations and 15496237 unique ideals
  482. Sat Dec 11 10:02:40 2021 reduce to 26018194 relations and 15466262 ideals in 5 passes
  483. Sat Dec 11 10:02:40 2021 max relations containing the same ideal: 15
  484. Sat Dec 11 10:02:42 2021 relations with 0 large ideals: 2575805
  485. Sat Dec 11 10:02:42 2021 relations with 1 large ideals: 9921108
  486. Sat Dec 11 10:02:42 2021 relations with 2 large ideals: 10197088
  487. Sat Dec 11 10:02:42 2021 relations with 3 large ideals: 2995598
  488. Sat Dec 11 10:02:42 2021 relations with 4 large ideals: 308225
  489. Sat Dec 11 10:02:42 2021 relations with 5 large ideals: 18268
  490. Sat Dec 11 10:02:42 2021 relations with 6 large ideals: 2102
  491. Sat Dec 11 10:02:42 2021 relations with 7+ large ideals: 0
  492. Sat Dec 11 10:02:42 2021 commencing 2-way merge
  493. Sat Dec 11 10:02:54 2021 reduce to 16031902 relation sets and 5479970 unique ideals
  494. Sat Dec 11 10:02:54 2021 commencing full merge
  495. Sat Dec 11 10:03:36 2021 memory use: 587.9 MB
  496. Sat Dec 11 10:03:41 2021 found 10551164 cycles, need 9096691
  497. Sat Dec 11 10:03:42 2021 weight of 9096691 cycles is about 444594151 (48.87/cycle)
  498. Sat Dec 11 10:03:42 2021 distribution of cycle lengths:
  499. Sat Dec 11 10:03:42 2021 1 relations: 2575805
  500. Sat Dec 11 10:03:42 2021 2 relations: 1429711
  501. Sat Dec 11 10:03:42 2021 3 relations: 1252789
  502. Sat Dec 11 10:03:42 2021 4 relations: 1123556
  503. Sat Dec 11 10:03:42 2021 5 relations: 973792
  504. Sat Dec 11 10:03:42 2021 6 relations: 782507
  505. Sat Dec 11 10:03:42 2021 7 relations: 584095
  506. Sat Dec 11 10:03:42 2021 8 relations: 370541
  507. Sat Dec 11 10:03:42 2021 9 relations: 3892
  508. Sat Dec 11 10:03:42 2021 10+ relations: 3
  509. Sat Dec 11 10:03:42 2021 heaviest cycle: 10 relations
  510. Sat Dec 11 10:03:42 2021 matrix not dense enough, retrying
  511. Sat Dec 11 10:03:44 2021 reading large ideals from disk
  512. Sat Dec 11 10:08:19 2021 keeping 114514284 ideals with weight <= 30, target excess is 8511540
  513. Sat Dec 11 10:13:00 2021 memory use: 5026.5 MB
  514. Sat Dec 11 10:13:00 2021 commencing in-memory singleton removal
  515. Sat Dec 11 10:13:12 2021 begin with 179494566 relations and 114514284 unique ideals
  516. Sat Dec 11 10:13:53 2021 reduce to 179494511 relations and 114514229 ideals in 4 passes
  517. Sat Dec 11 10:13:53 2021 max relations containing the same ideal: 30
  518. Sat Dec 11 10:14:58 2021 removing 8240340 relations and 6240340 ideals in 2000000 cliques
  519. Sat Dec 11 10:15:03 2021 commencing in-memory singleton removal
  520. Sat Dec 11 10:15:14 2021 begin with 171254171 relations and 114514229 unique ideals
  521. Sat Dec 11 10:16:23 2021 reduce to 170907620 relations and 107922158 ideals in 7 passes
  522. Sat Dec 11 10:16:23 2021 max relations containing the same ideal: 30
  523. Sat Dec 11 10:17:25 2021 removing 6437554 relations and 4437554 ideals in 2000000 cliques
  524. Sat Dec 11 10:17:29 2021 commencing in-memory singleton removal
  525. Sat Dec 11 10:17:39 2021 begin with 164470066 relations and 107922158 unique ideals
  526. Sat Dec 11 10:18:36 2021 reduce to 164237647 relations and 103249167 ideals in 6 passes
  527. Sat Dec 11 10:18:36 2021 max relations containing the same ideal: 30
  528. Sat Dec 11 10:19:36 2021 removing 5972579 relations and 3972579 ideals in 2000000 cliques
  529. Sat Dec 11 10:19:40 2021 commencing in-memory singleton removal
  530. Sat Dec 11 10:19:50 2021 begin with 158265068 relations and 103249167 unique ideals
  531. Sat Dec 11 10:20:54 2021 reduce to 158070544 relations and 99079561 ideals in 7 passes
  532. Sat Dec 11 10:20:54 2021 max relations containing the same ideal: 30
  533. Sat Dec 11 10:21:51 2021 removing 5729821 relations and 3729821 ideals in 2000000 cliques
  534. Sat Dec 11 10:21:55 2021 commencing in-memory singleton removal
  535. Sat Dec 11 10:22:05 2021 begin with 152340723 relations and 99079561 unique ideals
  536. Sat Dec 11 10:22:56 2021 reduce to 152167744 relations and 95174557 ideals in 6 passes
  537. Sat Dec 11 10:22:56 2021 max relations containing the same ideal: 30
  538. Sat Dec 11 10:23:52 2021 removing 5554362 relations and 3554362 ideals in 2000000 cliques
  539. Sat Dec 11 10:23:55 2021 commencing in-memory singleton removal
  540. Sat Dec 11 10:24:04 2021 begin with 146613382 relations and 95174557 unique ideals
  541. Sat Dec 11 10:24:54 2021 reduce to 146450529 relations and 91455163 ideals in 6 passes
  542. Sat Dec 11 10:24:54 2021 max relations containing the same ideal: 30
  543. Sat Dec 11 10:25:48 2021 removing 5442357 relations and 3442357 ideals in 2000000 cliques
  544. Sat Dec 11 10:25:51 2021 commencing in-memory singleton removal
  545. Sat Dec 11 10:26:00 2021 begin with 141008172 relations and 91455163 unique ideals
  546. Sat Dec 11 10:26:47 2021 reduce to 140856553 relations and 87859070 ideals in 6 passes
  547. Sat Dec 11 10:26:47 2021 max relations containing the same ideal: 30
  548. Sat Dec 11 10:27:40 2021 removing 5347121 relations and 3347121 ideals in 2000000 cliques
  549. Sat Dec 11 10:27:43 2021 commencing in-memory singleton removal
  550. Sat Dec 11 10:27:51 2021 begin with 135509432 relations and 87859070 unique ideals
  551. Sat Dec 11 10:28:37 2021 reduce to 135357955 relations and 84358276 ideals in 6 passes
  552. Sat Dec 11 10:28:37 2021 max relations containing the same ideal: 30
  553. Sat Dec 11 10:29:27 2021 removing 5275931 relations and 3275931 ideals in 2000000 cliques
  554. Sat Dec 11 10:29:31 2021 commencing in-memory singleton removal
  555. Sat Dec 11 10:29:39 2021 begin with 130082024 relations and 84358276 unique ideals
  556. Sat Dec 11 10:30:22 2021 reduce to 129934561 relations and 80932656 ideals in 6 passes
  557. Sat Dec 11 10:30:22 2021 max relations containing the same ideal: 30
  558. Sat Dec 11 10:31:10 2021 removing 5228237 relations and 3228237 ideals in 2000000 cliques
  559. Sat Dec 11 10:31:14 2021 commencing in-memory singleton removal
  560. Sat Dec 11 10:31:21 2021 begin with 124706324 relations and 80932656 unique ideals
  561. Sat Dec 11 10:32:02 2021 reduce to 124566285 relations and 77562146 ideals in 6 passes
  562. Sat Dec 11 10:32:02 2021 max relations containing the same ideal: 30
  563. Sat Dec 11 10:32:48 2021 removing 5139359 relations and 3139359 ideals in 2000000 cliques
  564. Sat Dec 11 10:32:52 2021 commencing in-memory singleton removal
  565. Sat Dec 11 10:32:59 2021 begin with 119426926 relations and 77562146 unique ideals
  566. Sat Dec 11 10:33:38 2021 reduce to 119275122 relations and 74268522 ideals in 6 passes
  567. Sat Dec 11 10:33:38 2021 max relations containing the same ideal: 30
  568. Sat Dec 11 10:34:22 2021 removing 5125779 relations and 3125779 ideals in 2000000 cliques
  569. Sat Dec 11 10:34:25 2021 commencing in-memory singleton removal
  570. Sat Dec 11 10:34:32 2021 begin with 114149343 relations and 74268522 unique ideals
  571. Sat Dec 11 10:35:08 2021 reduce to 114007029 relations and 70998042 ideals in 6 passes
  572. Sat Dec 11 10:35:08 2021 max relations containing the same ideal: 29
  573. Sat Dec 11 10:35:51 2021 removing 5114286 relations and 3114286 ideals in 2000000 cliques
  574. Sat Dec 11 10:35:54 2021 commencing in-memory singleton removal
  575. Sat Dec 11 10:36:00 2021 begin with 108892743 relations and 70998042 unique ideals
  576. Sat Dec 11 10:36:35 2021 reduce to 108751350 relations and 67739888 ideals in 6 passes
  577. Sat Dec 11 10:36:35 2021 max relations containing the same ideal: 29
  578. Sat Dec 11 10:37:15 2021 removing 5054788 relations and 3054788 ideals in 2000000 cliques
  579. Sat Dec 11 10:37:18 2021 commencing in-memory singleton removal
  580. Sat Dec 11 10:37:24 2021 begin with 103696562 relations and 67739888 unique ideals
  581. Sat Dec 11 10:37:56 2021 reduce to 103545452 relations and 64531249 ideals in 6 passes
  582. Sat Dec 11 10:37:56 2021 max relations containing the same ideal: 29
  583. Sat Dec 11 10:38:35 2021 removing 5045427 relations and 3045427 ideals in 2000000 cliques
  584. Sat Dec 11 10:38:37 2021 commencing in-memory singleton removal
  585. Sat Dec 11 10:38:43 2021 begin with 98500025 relations and 64531249 unique ideals
  586. Sat Dec 11 10:39:15 2021 reduce to 98352876 relations and 61335820 ideals in 6 passes
  587. Sat Dec 11 10:39:15 2021 max relations containing the same ideal: 28
  588. Sat Dec 11 10:39:51 2021 removing 4990489 relations and 2990489 ideals in 2000000 cliques
  589. Sat Dec 11 10:39:54 2021 commencing in-memory singleton removal
  590. Sat Dec 11 10:39:59 2021 begin with 93362387 relations and 61335820 unique ideals
  591. Sat Dec 11 10:40:29 2021 reduce to 93199116 relations and 58178831 ideals in 6 passes
  592. Sat Dec 11 10:40:29 2021 max relations containing the same ideal: 28
  593. Sat Dec 11 10:41:03 2021 removing 4994512 relations and 2994512 ideals in 2000000 cliques
  594. Sat Dec 11 10:41:06 2021 commencing in-memory singleton removal
  595. Sat Dec 11 10:41:11 2021 begin with 88204604 relations and 58178831 unique ideals
  596. Sat Dec 11 10:41:38 2021 reduce to 88038694 relations and 55015015 ideals in 6 passes
  597. Sat Dec 11 10:41:38 2021 max relations containing the same ideal: 28
  598. Sat Dec 11 10:42:11 2021 removing 4997989 relations and 2997989 ideals in 2000000 cliques
  599. Sat Dec 11 10:42:13 2021 commencing in-memory singleton removal
  600. Sat Dec 11 10:42:18 2021 begin with 83040705 relations and 55015015 unique ideals
  601. Sat Dec 11 10:42:43 2021 reduce to 82870343 relations and 51842981 ideals in 6 passes
  602. Sat Dec 11 10:42:43 2021 max relations containing the same ideal: 27
  603. Sat Dec 11 10:43:13 2021 removing 4959633 relations and 2959633 ideals in 2000000 cliques
  604. Sat Dec 11 10:43:16 2021 commencing in-memory singleton removal
  605. Sat Dec 11 10:43:20 2021 begin with 77910710 relations and 51842981 unique ideals
  606. Sat Dec 11 10:43:44 2021 reduce to 77732898 relations and 48701555 ideals in 6 passes
  607. Sat Dec 11 10:43:44 2021 max relations containing the same ideal: 26
  608. Sat Dec 11 10:44:13 2021 removing 4978737 relations and 2978737 ideals in 2000000 cliques
  609. Sat Dec 11 10:44:15 2021 commencing in-memory singleton removal
  610. Sat Dec 11 10:44:19 2021 begin with 72754161 relations and 48701555 unique ideals
  611. Sat Dec 11 10:44:48 2021 reduce to 72557755 relations and 45521651 ideals in 8 passes
  612. Sat Dec 11 10:44:48 2021 max relations containing the same ideal: 25
  613. Sat Dec 11 10:45:15 2021 removing 4989075 relations and 2989075 ideals in 2000000 cliques
  614. Sat Dec 11 10:45:17 2021 commencing in-memory singleton removal
  615. Sat Dec 11 10:45:21 2021 begin with 67568680 relations and 45521651 unique ideals
  616. Sat Dec 11 10:45:40 2021 reduce to 67362959 relations and 42321578 ideals in 6 passes
  617. Sat Dec 11 10:45:40 2021 max relations containing the same ideal: 25
  618. Sat Dec 11 10:46:06 2021 removing 4974865 relations and 2974865 ideals in 2000000 cliques
  619. Sat Dec 11 10:46:08 2021 commencing in-memory singleton removal
  620. Sat Dec 11 10:46:12 2021 begin with 62388094 relations and 42321578 unique ideals
  621. Sat Dec 11 10:46:30 2021 reduce to 62161257 relations and 39113604 ideals in 6 passes
  622. Sat Dec 11 10:46:30 2021 max relations containing the same ideal: 25
  623. Sat Dec 11 10:46:53 2021 removing 5000727 relations and 3000727 ideals in 2000000 cliques
  624. Sat Dec 11 10:46:55 2021 commencing in-memory singleton removal
  625. Sat Dec 11 10:46:58 2021 begin with 57160530 relations and 39113604 unique ideals
  626. Sat Dec 11 10:47:17 2021 reduce to 56915257 relations and 35860502 ideals in 7 passes
  627. Sat Dec 11 10:47:17 2021 max relations containing the same ideal: 25
  628. Sat Dec 11 10:47:38 2021 removing 5039722 relations and 3039722 ideals in 2000000 cliques
  629. Sat Dec 11 10:47:40 2021 commencing in-memory singleton removal
  630. Sat Dec 11 10:47:43 2021 begin with 51875535 relations and 35860502 unique ideals
  631. Sat Dec 11 10:47:58 2021 reduce to 51609609 relations and 32546747 ideals in 6 passes
  632. Sat Dec 11 10:47:58 2021 max relations containing the same ideal: 22
  633. Sat Dec 11 10:48:17 2021 removing 5053369 relations and 3053369 ideals in 2000000 cliques
  634. Sat Dec 11 10:48:19 2021 commencing in-memory singleton removal
  635. Sat Dec 11 10:48:21 2021 begin with 46556240 relations and 32546747 unique ideals
  636. Sat Dec 11 10:48:37 2021 reduce to 46264613 relations and 29192483 ideals in 8 passes
  637. Sat Dec 11 10:48:37 2021 max relations containing the same ideal: 22
  638. Sat Dec 11 10:48:55 2021 removing 5114537 relations and 3114537 ideals in 2000000 cliques
  639. Sat Dec 11 10:48:57 2021 commencing in-memory singleton removal
  640. Sat Dec 11 10:48:58 2021 begin with 41150076 relations and 29192483 unique ideals
  641. Sat Dec 11 10:49:11 2021 reduce to 40781211 relations and 25695509 ideals in 7 passes
  642. Sat Dec 11 10:49:11 2021 max relations containing the same ideal: 20
  643. Sat Dec 11 10:49:26 2021 removing 5118916 relations and 3118916 ideals in 2000000 cliques
  644. Sat Dec 11 10:49:28 2021 commencing in-memory singleton removal
  645. Sat Dec 11 10:49:30 2021 begin with 35662295 relations and 25695509 unique ideals
  646. Sat Dec 11 10:49:43 2021 reduce to 35159249 relations and 22049781 ideals in 8 passes
  647. Sat Dec 11 10:49:43 2021 max relations containing the same ideal: 18
  648. Sat Dec 11 10:49:56 2021 removing 5263734 relations and 3263734 ideals in 2000000 cliques
  649. Sat Dec 11 10:49:58 2021 commencing in-memory singleton removal
  650. Sat Dec 11 10:49:59 2021 begin with 29895515 relations and 22049781 unique ideals
  651. Sat Dec 11 10:50:09 2021 reduce to 29385697 relations and 18249825 ideals in 8 passes
  652. Sat Dec 11 10:50:09 2021 max relations containing the same ideal: 16
  653. Sat Dec 11 10:50:20 2021 removing 3393971 relations and 2131486 ideals in 1262485 cliques
  654. Sat Dec 11 10:50:21 2021 commencing in-memory singleton removal
  655. Sat Dec 11 10:50:22 2021 begin with 25991726 relations and 18249825 unique ideals
  656. Sat Dec 11 10:50:30 2021 reduce to 25600957 relations and 15709138 ideals in 8 passes
  657. Sat Dec 11 10:50:30 2021 max relations containing the same ideal: 16
  658. Sat Dec 11 10:50:40 2021 removing 55590 relations and 37158 ideals in 18432 cliques
  659. Sat Dec 11 10:50:40 2021 commencing in-memory singleton removal
  660. Sat Dec 11 10:50:41 2021 begin with 25545367 relations and 15709138 unique ideals
  661. Sat Dec 11 10:50:47 2021 reduce to 25544717 relations and 15671330 ideals in 5 passes
  662. Sat Dec 11 10:50:47 2021 max relations containing the same ideal: 16
  663. Sat Dec 11 10:50:48 2021 relations with 0 large ideals: 2192811
  664. Sat Dec 11 10:50:48 2021 relations with 1 large ideals: 9041073
  665. Sat Dec 11 10:50:48 2021 relations with 2 large ideals: 10269195
  666. Sat Dec 11 10:50:48 2021 relations with 3 large ideals: 3543817
  667. Sat Dec 11 10:50:48 2021 relations with 4 large ideals: 459644
  668. Sat Dec 11 10:50:48 2021 relations with 5 large ideals: 35266
  669. Sat Dec 11 10:50:48 2021 relations with 6 large ideals: 2911
  670. Sat Dec 11 10:50:48 2021 relations with 7+ large ideals: 0
  671. Sat Dec 11 10:50:48 2021 commencing 2-way merge
  672. Sat Dec 11 10:51:01 2021 reduce to 15871488 relation sets and 5998101 unique ideals
  673. Sat Dec 11 10:51:01 2021 commencing full merge
  674. Sat Dec 11 10:51:52 2021 memory use: 618.9 MB
  675. Sat Dec 11 10:51:57 2021 found 9867570 cycles, need 8511740
  676. Sat Dec 11 10:51:58 2021 weight of 8511740 cycles is about 484708394 (56.95/cycle)
  677. Sat Dec 11 10:51:58 2021 distribution of cycle lengths:
  678. Sat Dec 11 10:51:58 2021 1 relations: 2192811
  679. Sat Dec 11 10:51:58 2021 2 relations: 1179526
  680. Sat Dec 11 10:51:58 2021 3 relations: 1004966
  681. Sat Dec 11 10:51:58 2021 4 relations: 928569
  682. Sat Dec 11 10:51:58 2021 5 relations: 847605
  683. Sat Dec 11 10:51:58 2021 6 relations: 728402
  684. Sat Dec 11 10:51:58 2021 7 relations: 613804
  685. Sat Dec 11 10:51:58 2021 8 relations: 484554
  686. Sat Dec 11 10:51:58 2021 9 relations: 363114
  687. Sat Dec 11 10:51:58 2021 10+ relations: 168389
  688. Sat Dec 11 10:51:58 2021 heaviest cycle: 12 relations
  689. Sat Dec 11 10:51:59 2021 matrix not dense enough, retrying
  690. Sat Dec 11 10:52:00 2021 reading large ideals from disk
  691. Sat Dec 11 10:56:38 2021 keeping 114935140 ideals with weight <= 35, target excess is 8090684
  692. Sat Dec 11 11:01:21 2021 memory use: 5026.5 MB
  693. Sat Dec 11 11:01:21 2021 commencing in-memory singleton removal
  694. Sat Dec 11 11:01:33 2021 begin with 179494566 relations and 114935140 unique ideals
  695. Sat Dec 11 11:02:16 2021 reduce to 179494511 relations and 114935085 ideals in 4 passes
  696. Sat Dec 11 11:02:16 2021 max relations containing the same ideal: 35
  697. Sat Dec 11 11:03:22 2021 removing 8260969 relations and 6260969 ideals in 2000000 cliques
  698. Sat Dec 11 11:03:27 2021 commencing in-memory singleton removal
  699. Sat Dec 11 11:03:38 2021 begin with 171233542 relations and 114935085 unique ideals
  700. Sat Dec 11 11:04:50 2021 reduce to 170888149 relations and 108323579 ideals in 7 passes
  701. Sat Dec 11 11:04:50 2021 max relations containing the same ideal: 35
  702. Sat Dec 11 11:05:53 2021 removing 6464073 relations and 4464073 ideals in 2000000 cliques
  703. Sat Dec 11 11:05:57 2021 commencing in-memory singleton removal
  704. Sat Dec 11 11:06:08 2021 begin with 164424076 relations and 108323579 unique ideals
  705. Sat Dec 11 11:07:06 2021 reduce to 164195103 relations and 103627554 ideals in 6 passes
  706. Sat Dec 11 11:07:06 2021 max relations containing the same ideal: 35
  707. Sat Dec 11 11:08:06 2021 removing 5969377 relations and 3969377 ideals in 2000000 cliques
  708. Sat Dec 11 11:08:10 2021 commencing in-memory singleton removal
  709. Sat Dec 11 11:08:21 2021 begin with 158225726 relations and 103627554 unique ideals
  710. Sat Dec 11 11:09:25 2021 reduce to 158031076 relations and 99461024 ideals in 7 passes
  711. Sat Dec 11 11:09:25 2021 max relations containing the same ideal: 35
  712. Sat Dec 11 11:10:24 2021 removing 5724737 relations and 3724737 ideals in 2000000 cliques
  713. Sat Dec 11 11:10:28 2021 commencing in-memory singleton removal
  714. Sat Dec 11 11:10:38 2021 begin with 152306339 relations and 99461024 unique ideals
  715. Sat Dec 11 11:11:40 2021 reduce to 152131865 relations and 95559533 ideals in 7 passes
  716. Sat Dec 11 11:11:40 2021 max relations containing the same ideal: 35
  717. Sat Dec 11 11:12:36 2021 removing 5572616 relations and 3572616 ideals in 2000000 cliques
  718. Sat Dec 11 11:12:40 2021 commencing in-memory singleton removal
  719. Sat Dec 11 11:12:49 2021 begin with 146559249 relations and 95559533 unique ideals
  720. Sat Dec 11 11:13:40 2021 reduce to 146399209 relations and 91824774 ideals in 6 passes
  721. Sat Dec 11 11:13:40 2021 max relations containing the same ideal: 35
  722. Sat Dec 11 11:14:35 2021 removing 5442540 relations and 3442540 ideals in 2000000 cliques
  723. Sat Dec 11 11:14:39 2021 commencing in-memory singleton removal
  724. Sat Dec 11 11:14:48 2021 begin with 140956669 relations and 91824774 unique ideals
  725. Sat Dec 11 11:15:36 2021 reduce to 140802819 relations and 88226252 ideals in 6 passes
  726. Sat Dec 11 11:15:36 2021 max relations containing the same ideal: 35
  727. Sat Dec 11 11:16:29 2021 removing 5343941 relations and 3343941 ideals in 2000000 cliques
  728. Sat Dec 11 11:16:33 2021 commencing in-memory singleton removal
  729. Sat Dec 11 11:16:41 2021 begin with 135458878 relations and 88226252 unique ideals
  730. Sat Dec 11 11:17:28 2021 reduce to 135306777 relations and 84728013 ideals in 6 passes
  731. Sat Dec 11 11:17:28 2021 max relations containing the same ideal: 35
  732. Sat Dec 11 11:18:19 2021 removing 5292362 relations and 3292362 ideals in 2000000 cliques
  733. Sat Dec 11 11:18:22 2021 commencing in-memory singleton removal
  734. Sat Dec 11 11:18:30 2021 begin with 130014415 relations and 84728013 unique ideals
  735. Sat Dec 11 11:19:15 2021 reduce to 129869347 relations and 81288357 ideals in 6 passes
  736. Sat Dec 11 11:19:15 2021 max relations containing the same ideal: 35
  737. Sat Dec 11 11:20:04 2021 removing 5223041 relations and 3223041 ideals in 2000000 cliques
  738. Sat Dec 11 11:20:08 2021 commencing in-memory singleton removal
  739. Sat Dec 11 11:20:16 2021 begin with 124646306 relations and 81288357 unique ideals
  740. Sat Dec 11 11:20:58 2021 reduce to 124505397 relations and 77922151 ideals in 6 passes
  741. Sat Dec 11 11:20:58 2021 max relations containing the same ideal: 35
  742. Sat Dec 11 11:21:45 2021 removing 5148640 relations and 3148640 ideals in 2000000 cliques
  743. Sat Dec 11 11:21:48 2021 commencing in-memory singleton removal
  744. Sat Dec 11 11:21:55 2021 begin with 119356757 relations and 77922151 unique ideals
  745. Sat Dec 11 11:22:35 2021 reduce to 119208800 relations and 74623172 ideals in 6 passes
  746. Sat Dec 11 11:22:35 2021 max relations containing the same ideal: 34
  747. Sat Dec 11 11:23:20 2021 removing 5134941 relations and 3134941 ideals in 2000000 cliques
  748. Sat Dec 11 11:23:23 2021 commencing in-memory singleton removal
  749. Sat Dec 11 11:23:30 2021 begin with 114073859 relations and 74623172 unique ideals
  750. Sat Dec 11 11:24:14 2021 reduce to 113928623 relations and 71340612 ideals in 7 passes
  751. Sat Dec 11 11:24:14 2021 max relations containing the same ideal: 34
  752. Sat Dec 11 11:24:57 2021 removing 5104188 relations and 3104188 ideals in 2000000 cliques
  753. Sat Dec 11 11:25:00 2021 commencing in-memory singleton removal
  754. Sat Dec 11 11:25:07 2021 begin with 108824435 relations and 71340612 unique ideals
  755. Sat Dec 11 11:25:49 2021 reduce to 108680713 relations and 68090229 ideals in 7 passes
  756. Sat Dec 11 11:25:49 2021 max relations containing the same ideal: 34
  757. Sat Dec 11 11:26:29 2021 removing 5046938 relations and 3046938 ideals in 2000000 cliques
  758. Sat Dec 11 11:26:32 2021 commencing in-memory singleton removal
  759. Sat Dec 11 11:26:39 2021 begin with 103633775 relations and 68090229 unique ideals
  760. Sat Dec 11 11:27:12 2021 reduce to 103481510 relations and 64888225 ideals in 6 passes
  761. Sat Dec 11 11:27:12 2021 max relations containing the same ideal: 33
  762. Sat Dec 11 11:27:51 2021 removing 5058045 relations and 3058045 ideals in 2000000 cliques
  763. Sat Dec 11 11:27:54 2021 commencing in-memory singleton removal
  764. Sat Dec 11 11:28:00 2021 begin with 98423465 relations and 64888225 unique ideals
  765. Sat Dec 11 11:28:31 2021 reduce to 98274655 relations and 61678438 ideals in 6 passes
  766. Sat Dec 11 11:28:31 2021 max relations containing the same ideal: 32
  767. Sat Dec 11 11:29:09 2021 removing 4978807 relations and 2978807 ideals in 2000000 cliques
  768. Sat Dec 11 11:29:12 2021 commencing in-memory singleton removal
  769. Sat Dec 11 11:29:17 2021 begin with 93295848 relations and 61678438 unique ideals
  770. Sat Dec 11 11:29:52 2021 reduce to 93132348 relations and 58532807 ideals in 7 passes
  771. Sat Dec 11 11:29:52 2021 max relations containing the same ideal: 31
  772. Sat Dec 11 11:30:27 2021 removing 5017327 relations and 3017327 ideals in 2000000 cliques
  773. Sat Dec 11 11:30:30 2021 commencing in-memory singleton removal
  774. Sat Dec 11 11:30:35 2021 begin with 88115021 relations and 58532807 unique ideals
  775. Sat Dec 11 11:31:03 2021 reduce to 87956560 relations and 55353691 ideals in 6 passes
  776. Sat Dec 11 11:31:03 2021 max relations containing the same ideal: 31
  777. Sat Dec 11 11:31:37 2021 removing 4997153 relations and 2997153 ideals in 2000000 cliques
  778. Sat Dec 11 11:31:40 2021 commencing in-memory singleton removal
  779. Sat Dec 11 11:31:44 2021 begin with 82959407 relations and 55353691 unique ideals
  780. Sat Dec 11 11:32:14 2021 reduce to 82789637 relations and 52183014 ideals in 7 passes
  781. Sat Dec 11 11:32:14 2021 max relations containing the same ideal: 30
  782. Sat Dec 11 11:32:45 2021 removing 4988303 relations and 2988303 ideals in 2000000 cliques
  783. Sat Dec 11 11:32:48 2021 commencing in-memory singleton removal
  784. Sat Dec 11 11:32:53 2021 begin with 77801334 relations and 52183014 unique ideals
  785. Sat Dec 11 11:33:20 2021 reduce to 77623586 relations and 49012958 ideals in 7 passes
  786. Sat Dec 11 11:33:20 2021 max relations containing the same ideal: 30
  787. Sat Dec 11 11:33:50 2021 removing 4959035 relations and 2959035 ideals in 2000000 cliques
  788. Sat Dec 11 11:33:52 2021 commencing in-memory singleton removal
  789. Sat Dec 11 11:33:56 2021 begin with 72664551 relations and 49012958 unique ideals
  790. Sat Dec 11 11:34:22 2021 reduce to 72473790 relations and 45858544 ideals in 7 passes
  791. Sat Dec 11 11:34:22 2021 max relations containing the same ideal: 30
  792. Sat Dec 11 11:34:50 2021 removing 4980542 relations and 2980542 ideals in 2000000 cliques
  793. Sat Dec 11 11:34:52 2021 commencing in-memory singleton removal
  794. Sat Dec 11 11:34:56 2021 begin with 67493248 relations and 45858544 unique ideals
  795. Sat Dec 11 11:35:19 2021 reduce to 67284293 relations and 42663643 ideals in 7 passes
  796. Sat Dec 11 11:35:19 2021 max relations containing the same ideal: 28
  797. Sat Dec 11 11:35:45 2021 removing 5003743 relations and 3003743 ideals in 2000000 cliques
  798. Sat Dec 11 11:35:47 2021 commencing in-memory singleton removal
  799. Sat Dec 11 11:35:50 2021 begin with 62280550 relations and 42663643 unique ideals
  800. Sat Dec 11 11:36:09 2021 reduce to 62060694 relations and 39434105 ideals in 6 passes
  801. Sat Dec 11 11:36:09 2021 max relations containing the same ideal: 27
  802. Sat Dec 11 11:36:32 2021 removing 4987376 relations and 2987376 ideals in 2000000 cliques
  803. Sat Dec 11 11:36:35 2021 commencing in-memory singleton removal
  804. Sat Dec 11 11:36:37 2021 begin with 57073318 relations and 39434105 unique ideals
  805. Sat Dec 11 11:36:57 2021 reduce to 56821418 relations and 36187522 ideals in 7 passes
  806. Sat Dec 11 11:36:57 2021 max relations containing the same ideal: 26
  807. Sat Dec 11 11:37:19 2021 removing 5031266 relations and 3031266 ideals in 2000000 cliques
  808. Sat Dec 11 11:37:21 2021 commencing in-memory singleton removal
  809. Sat Dec 11 11:37:23 2021 begin with 51790152 relations and 36187522 unique ideals
  810. Sat Dec 11 11:37:39 2021 reduce to 51518570 relations and 32876090 ideals in 6 passes
  811. Sat Dec 11 11:37:39 2021 max relations containing the same ideal: 25
  812. Sat Dec 11 11:37:58 2021 removing 5066642 relations and 3066642 ideals in 2000000 cliques
  813. Sat Dec 11 11:38:00 2021 commencing in-memory singleton removal
  814. Sat Dec 11 11:38:02 2021 begin with 46451928 relations and 32876090 unique ideals
  815. Sat Dec 11 11:38:17 2021 reduce to 46146036 relations and 29493231 ideals in 7 passes
  816. Sat Dec 11 11:38:17 2021 max relations containing the same ideal: 23
  817. Sat Dec 11 11:38:35 2021 removing 5102647 relations and 3102647 ideals in 2000000 cliques
  818. Sat Dec 11 11:38:37 2021 commencing in-memory singleton removal
  819. Sat Dec 11 11:38:39 2021 begin with 41043389 relations and 29493231 unique ideals
  820. Sat Dec 11 11:38:52 2021 reduce to 40699699 relations and 26034671 ideals in 7 passes
  821. Sat Dec 11 11:38:52 2021 max relations containing the same ideal: 23
  822. Sat Dec 11 11:39:07 2021 removing 5179132 relations and 3179132 ideals in 2000000 cliques
  823. Sat Dec 11 11:39:09 2021 commencing in-memory singleton removal
  824. Sat Dec 11 11:39:11 2021 begin with 35520567 relations and 26034671 unique ideals
  825. Sat Dec 11 11:39:22 2021 reduce to 35081109 relations and 22397757 ideals in 7 passes
  826. Sat Dec 11 11:39:22 2021 max relations containing the same ideal: 21
  827. Sat Dec 11 11:39:36 2021 removing 5220696 relations and 3220696 ideals in 2000000 cliques
  828. Sat Dec 11 11:39:38 2021 commencing in-memory singleton removal
  829. Sat Dec 11 11:39:39 2021 begin with 29860413 relations and 22397757 unique ideals
  830. Sat Dec 11 11:39:49 2021 reduce to 29283515 relations and 18569155 ideals in 8 passes
  831. Sat Dec 11 11:39:49 2021 max relations containing the same ideal: 19
  832. Sat Dec 11 11:40:00 2021 removing 3568395 relations and 2239229 ideals in 1329166 cliques
  833. Sat Dec 11 11:40:02 2021 commencing in-memory singleton removal
  834. Sat Dec 11 11:40:03 2021 begin with 25715120 relations and 18569155 unique ideals
  835. Sat Dec 11 11:40:11 2021 reduce to 25279170 relations and 15871902 ideals in 8 passes
  836. Sat Dec 11 11:40:11 2021 max relations containing the same ideal: 17
  837. Sat Dec 11 11:40:21 2021 removing 69479 relations and 47405 ideals in 22074 cliques
  838. Sat Dec 11 11:40:22 2021 commencing in-memory singleton removal
  839. Sat Dec 11 11:40:23 2021 begin with 25209691 relations and 15871902 unique ideals
  840. Sat Dec 11 11:40:29 2021 reduce to 25208839 relations and 15823644 ideals in 6 passes
  841. Sat Dec 11 11:40:29 2021 max relations containing the same ideal: 17
  842. Sat Dec 11 11:40:31 2021 relations with 0 large ideals: 1904770
  843. Sat Dec 11 11:40:31 2021 relations with 1 large ideals: 8267549
  844. Sat Dec 11 11:40:31 2021 relations with 2 large ideals: 10190715
  845. Sat Dec 11 11:40:31 2021 relations with 3 large ideals: 4129307
  846. Sat Dec 11 11:40:31 2021 relations with 4 large ideals: 657606
  847. Sat Dec 11 11:40:31 2021 relations with 5 large ideals: 55245
  848. Sat Dec 11 11:40:31 2021 relations with 6 large ideals: 3644
  849. Sat Dec 11 11:40:31 2021 relations with 7+ large ideals: 3
  850. Sat Dec 11 11:40:31 2021 commencing 2-way merge
  851. Sat Dec 11 11:40:43 2021 reduce to 15639504 relation sets and 6254309 unique ideals
  852. Sat Dec 11 11:40:43 2021 commencing full merge
  853. Sat Dec 11 11:41:46 2021 memory use: 643.1 MB
  854. Sat Dec 11 11:41:51 2021 found 9362022 cycles, need 8090884
  855. Sat Dec 11 11:41:52 2021 weight of 8090884 cycles is about 535442634 (66.18/cycle)
  856. Sat Dec 11 11:41:52 2021 distribution of cycle lengths:
  857. Sat Dec 11 11:41:52 2021 1 relations: 1904770
  858. Sat Dec 11 11:41:52 2021 2 relations: 1005591
  859. Sat Dec 11 11:41:52 2021 3 relations: 837323
  860. Sat Dec 11 11:41:52 2021 4 relations: 769920
  861. Sat Dec 11 11:41:52 2021 5 relations: 720797
  862. Sat Dec 11 11:41:52 2021 6 relations: 648320
  863. Sat Dec 11 11:41:52 2021 7 relations: 579020
  864. Sat Dec 11 11:41:52 2021 8 relations: 497380
  865. Sat Dec 11 11:41:52 2021 9 relations: 419750
  866. Sat Dec 11 11:41:52 2021 10+ relations: 708013
  867. Sat Dec 11 11:41:52 2021 heaviest cycle: 14 relations
  868. Sat Dec 11 11:41:52 2021 commencing cycle optimization
  869. Sat Dec 11 11:42:02 2021 start with 36383799 relations
  870. Sat Dec 11 11:42:56 2021 pruned 2443767 relations
  871. Sat Dec 11 11:42:56 2021 memory use: 1202.7 MB
  872. Sat Dec 11 11:42:56 2021 distribution of cycle lengths:
  873. Sat Dec 11 11:42:57 2021 1 relations: 1904770
  874. Sat Dec 11 11:42:57 2021 2 relations: 1049163
  875. Sat Dec 11 11:42:57 2021 3 relations: 905301
  876. Sat Dec 11 11:42:57 2021 4 relations: 851542
  877. Sat Dec 11 11:42:57 2021 5 relations: 813787
  878. Sat Dec 11 11:42:57 2021 6 relations: 725635
  879. Sat Dec 11 11:42:57 2021 7 relations: 626511
  880. Sat Dec 11 11:42:57 2021 8 relations: 486724
  881. Sat Dec 11 11:42:57 2021 9 relations: 353026
  882. Sat Dec 11 11:42:57 2021 10+ relations: 374425
  883. Sat Dec 11 11:42:57 2021 heaviest cycle: 14 relations
  884. Sat Dec 11 11:43:08 2021 RelProcTime: 20736
  885. Sat Dec 11 11:43:08 2021
  886. Sat Dec 11 11:43:08 2021 commencing linear algebra
  887. Sat Dec 11 11:43:10 2021 read 8090884 cycles
  888. Sat Dec 11 11:43:23 2021 cycles contain 21001200 unique relations
  889. Sat Dec 11 11:47:53 2021 read 21001200 relations
  890. Sat Dec 11 11:48:32 2021 using 20 quadratic characters above 4294917295
  891. Sat Dec 11 11:50:58 2021 building initial matrix
  892. Sat Dec 11 11:55:33 2021 memory use: 2982.5 MB
  893. Sat Dec 11 11:55:40 2021 read 8090884 cycles
  894. Sat Dec 11 11:55:42 2021 matrix is 8088293 x 8090884 (2227.5 MB) with weight 691468254 (85.46/col)
  895. Sat Dec 11 11:55:42 2021 sparse part has weight 486824040 (60.17/col)
  896. Sat Dec 11 11:57:51 2021 filtering completed in 3 passes
  897. Sat Dec 11 11:57:53 2021 matrix is 8037019 x 8037219 (2218.9 MB) with weight 688642378 (85.68/col)
  898. Sat Dec 11 11:57:53 2021 sparse part has weight 485216846 (60.37/col)
  899. Sat Dec 11 11:58:13 2021 matrix starts at (0, 0)
  900. Sat Dec 11 11:58:15 2021 matrix is 8037019 x 8037219 (2218.9 MB) with weight 688642378 (85.68/col)
  901. Sat Dec 11 11:58:15 2021 sparse part has weight 485216846 (60.37/col)
  902. Sat Dec 11 11:58:15 2021 saving the first 48 matrix rows for later
  903. Sat Dec 11 11:58:18 2021 matrix includes 64 packed rows
  904. Sat Dec 11 11:58:19 2021 matrix is 8036971 x 8037219 (2133.3 MB) with weight 539035725 (67.07/col)
  905. Sat Dec 11 11:58:19 2021 sparse part has weight 478867989 (59.58/col)
  906. Sat Dec 11 11:58:19 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  907. Sat Dec 11 11:58:59 2021 commencing Lanczos iteration (6 threads)
  908. Sat Dec 11 11:58:59 2021 memory use: 1724.8 MB
  909. Sat Dec 11 11:59:31 2021 linear algebra at 0.0%, ETA 45h29m
  910. Sat Dec 11 11:59:42 2021 checkpointing every 180000 dimensions
  911. Mon Dec 13 07:22:00 2021 lanczos halted after 119571 iterations (dim = 7561112)
  912. Mon Dec 13 07:22:02 2021 BLanczosTime: 157134
  913. Mon Dec 13 07:22:02 2021
  914. Mon Dec 13 07:22:02 2021 commencing square root phase
  915. Mon Dec 13 07:22:02 2021 handling dependencies 1 to 64
  916. Mon Dec 13 07:22:02 2021 reading relations for dependency 1
  917. Mon Dec 13 07:22:02 2021 error: read_cycles can't open dependency file
  918. Mon Dec 13 18:58:06 2021
  919. Mon Dec 13 18:58:06 2021
  920. Mon Dec 13 18:58:06 2021 Msieve v. 1.53 (SVN 988)
  921. Mon Dec 13 18:58:06 2021 random seeds: e6f50e20 9f658b6f
  922. Mon Dec 13 18:58:06 2021 factoring 12050776075231502882593817068581935601907280737083782443835243959335820952907283930452767542745654050294346215107560812052214734803541991962255830406798550871348635810889991 (173 digits)
  923. Mon Dec 13 18:58:07 2021 searching for 15-digit factors
  924. Mon Dec 13 18:58:07 2021 commencing number field sieve (173-digit input)
  925. Mon Dec 13 18:58:07 2021 R0: -3945819765830405543714409705318041
  926. Mon Dec 13 18:58:07 2021 R1: 1681345343107820263583
  927. Mon Dec 13 18:58:07 2021 A0: 15345155390883208777550444433706102143744
  928. Mon Dec 13 18:58:07 2021 A1: -1027991494173220824074402840627824
  929. Mon Dec 13 18:58:07 2021 A2: 2326408125025888247170706661
  930. Mon Dec 13 18:58:07 2021 A3: -162918487541952775091
  931. Mon Dec 13 18:58:07 2021 A4: -17054394020490
  932. Mon Dec 13 18:58:07 2021 A5: 75600
  933. Mon Dec 13 18:58:07 2021 skew 16153366.22, size 1.137e-016, alpha -7.732, combined = 3.187e-013 rroots = 3
  934. Mon Dec 13 18:58:07 2021
  935. Mon Dec 13 18:58:07 2021 commencing linear algebra
  936. Mon Dec 13 18:58:11 2021 matrix starts at (0, 0)
  937. Mon Dec 13 18:58:19 2021 matrix is 8037019 x 8037219 (2218.9 MB) with weight 688642378 (85.68/col)
  938. Mon Dec 13 18:58:19 2021 sparse part has weight 485216846 (60.37/col)
  939. Mon Dec 13 18:58:19 2021 saving the first 48 matrix rows for later
  940. Mon Dec 13 18:58:22 2021 matrix includes 64 packed rows
  941. Mon Dec 13 18:58:24 2021 matrix is 8036971 x 8037219 (2133.3 MB) with weight 539035725 (67.07/col)
  942. Mon Dec 13 18:58:24 2021 sparse part has weight 478867989 (59.58/col)
  943. Mon Dec 13 18:58:24 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  944. Mon Dec 13 18:59:04 2021 commencing Lanczos iteration (6 threads)
  945. Mon Dec 13 18:59:04 2021 memory use: 1724.8 MB
  946. Mon Dec 13 18:59:04 2021 restarting at iteration 119571 (dim = 7561112)
  947. Mon Dec 13 18:59:26 2021 checkpointing every 160000 dimensions
  948. Mon Dec 13 18:59:39 2021 linear algebra at 94.1%, ETA 3h 2m
  949. Mon Dec 13 22:07:18 2021 lanczos halted after 127097 iterations (dim = 8036971)
  950. Mon Dec 13 22:07:29 2021 recovered 31 nontrivial dependencies
  951. Mon Dec 13 22:07:31 2021 BLanczosTime: 11364
  952. Mon Dec 13 22:07:31 2021
  953. Mon Dec 13 22:07:31 2021 commencing square root phase
  954. Mon Dec 13 22:07:31 2021 reading relations for dependency 1
  955. Mon Dec 13 22:07:34 2021 read 4020277 cycles
  956. Mon Dec 13 22:07:40 2021 cycles contain 10477974 unique relations
  957. Mon Dec 13 22:10:41 2021 read 10477974 relations
  958. Mon Dec 13 22:12:18 2021 multiplying 10477974 relations
  959. Mon Dec 13 22:33:23 2021 multiply complete, coefficients have about 592.34 million bits
  960. Mon Dec 13 22:33:28 2021 initial square root is modulo 206237
  961. Mon Dec 13 22:54:53 2021 sqrtTime: 2842
  962. Mon Dec 13 22:54:53 2021 p66 factor: 309362545887525329951702529636004335083597284900406854746628396447
  963. Mon Dec 13 22:54:53 2021 p107 factor: 38953571579452908281907922612778751860462633171487320564923705088966142389045912701791847547602116782508953
  964. Mon Dec 13 22:54:53 2021 elapsed time 03:56:47
  965.  
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