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12m5_275

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Jan 18th, 2020
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  1. Thu Jan 02 15:13:58 2020
  2. Thu Jan 02 15:13:58 2020
  3. Thu Jan 02 15:13:58 2020 Msieve v. 1.52 (SVN unknown)
  4. Thu Jan 02 15:13:59 2020 random seeds: fd99ebe4 d8c4a6a9
  5. Thu Jan 02 15:13:59 2020 factoring 1797408873077104792374392480634775793152781493160190130129853741373755713655477950392506132611030250518829654717868097160113553356931410729972823292086950302140945771562773151 (175 digits)
  6. Thu Jan 02 15:13:59 2020 no P-1/P+1/ECM available, skipping
  7. Thu Jan 02 15:13:59 2020 commencing number field sieve (175-digit input)
  8. Thu Jan 02 15:13:59 2020 R0: -6093991430887680596308741247256755
  9. Thu Jan 02 15:13:59 2020 R1: 8471990204042789
  10. Thu Jan 02 15:13:59 2020 A0: -5861289352839391400166526450664754520173216
  11. Thu Jan 02 15:13:59 2020 A1: -953043471324673584575857868220827808
  12. Thu Jan 02 15:13:59 2020 A2: 63150613941887602273580957974
  13. Thu Jan 02 15:13:59 2020 A3: 2436626203488032964461
  14. Thu Jan 02 15:13:59 2020 A4: -30908381193350
  15. Thu Jan 02 15:13:59 2020 A5: 213864
  16. Thu Jan 02 15:13:59 2020 skew 37832461.72, size 4.522e-017, alpha -7.827, combined = 1.775e-013 rroots = 3
  17. Thu Jan 02 15:13:59 2020
  18. Thu Jan 02 15:13:59 2020 commencing relation filtering
  19. Thu Jan 02 15:13:59 2020 setting target matrix density to 132.0
  20. Thu Jan 02 15:13:59 2020 estimated available RAM is 16316.6 MB
  21. Thu Jan 02 15:13:59 2020 commencing duplicate removal, pass 1
  22. Thu Jan 02 15:15:39 2020 error -15 reading relation 9775448
  23. Thu Jan 02 15:16:14 2020 error -9 reading relation 13297782
  24. Thu Jan 02 15:17:45 2020 error -5 reading relation 22829640
  25. Thu Jan 02 15:17:59 2020 error -9 reading relation 24240391
  26. Thu Jan 02 15:18:06 2020 error -15 reading relation 25062220
  27. Thu Jan 02 15:18:14 2020 error -15 reading relation 25896355
  28. Thu Jan 02 16:30:07 2020 error -15 reading relation 480127291
  29. Thu Jan 02 16:30:08 2020 error -15 reading relation 480288601
  30. Thu Jan 02 16:30:09 2020 error -9 reading relation 480333081
  31. Thu Jan 02 16:30:09 2020 error -9 reading relation 480371971
  32. Thu Jan 02 16:30:09 2020 found 112255217 hash collisions in 480426272 relations
  33. Thu Jan 02 16:30:56 2020 added 122083 free relations
  34. Thu Jan 02 16:30:56 2020 commencing duplicate removal, pass 2
  35. Thu Jan 02 16:44:50 2020 found 106618599 duplicates and 373929756 unique relations
  36. Thu Jan 02 16:44:50 2020 memory use: 2643.0 MB
  37. Thu Jan 02 16:44:50 2020 reading ideals above 259981312
  38. Thu Jan 02 16:44:50 2020 commencing singleton removal, initial pass
  39. Thu Jan 02 17:50:49 2020 memory use: 6024.0 MB
  40. Thu Jan 02 17:50:50 2020 reading all ideals from disk
  41. Thu Jan 02 17:52:11 2020 memory use: 6281.6 MB
  42. Thu Jan 02 17:52:24 2020 commencing in-memory singleton removal
  43. Thu Jan 02 17:52:36 2020 begin with 373929756 relations and 304649394 unique ideals
  44. Thu Jan 02 17:55:15 2020 reduce to 241259831 relations and 158126559 ideals in 16 passes
  45. Thu Jan 02 17:55:15 2020 max relations containing the same ideal: 43
  46. Thu Jan 02 17:55:32 2020 reading ideals above 720000
  47. Thu Jan 02 17:55:32 2020 commencing singleton removal, initial pass
  48. Thu Jan 02 18:49:20 2020 memory use: 5512.0 MB
  49. Thu Jan 02 18:49:20 2020 reading large ideals from disk
  50. Thu Jan 02 18:53:18 2020 keeping 167667884 ideals with weight <= 20, target excess is 18851776
  51. Thu Jan 02 18:59:37 2020 memory use: 5268.7 MB
  52. Thu Jan 02 18:59:37 2020 commencing in-memory singleton removal
  53. Thu Jan 02 18:59:46 2020 begin with 241259831 relations and 167667884 unique ideals
  54. Thu Jan 02 19:01:30 2020 reduce to 241248891 relations and 167656944 ideals in 10 passes
  55. Thu Jan 02 19:01:30 2020 max relations containing the same ideal: 20
  56. Thu Jan 02 19:02:32 2020 removing 11760866 relations and 9760866 ideals in 2000000 cliques
  57. Thu Jan 02 19:02:36 2020 commencing in-memory singleton removal
  58. Thu Jan 02 19:02:45 2020 begin with 229488025 relations and 167656944 unique ideals
  59. Thu Jan 02 19:03:53 2020 reduce to 229014076 relations and 157416760 ideals in 7 passes
  60. Thu Jan 02 19:03:53 2020 max relations containing the same ideal: 20
  61. Thu Jan 02 19:04:53 2020 removing 8773496 relations and 6773496 ideals in 2000000 cliques
  62. Thu Jan 02 19:04:56 2020 commencing in-memory singleton removal
  63. Thu Jan 02 19:05:04 2020 begin with 220240580 relations and 157416760 unique ideals
  64. Thu Jan 02 19:06:09 2020 reduce to 219930755 relations and 150330366 ideals in 7 passes
  65. Thu Jan 02 19:06:09 2020 max relations containing the same ideal: 20
  66. Thu Jan 02 19:07:06 2020 removing 7868287 relations and 5868287 ideals in 2000000 cliques
  67. Thu Jan 02 19:07:09 2020 commencing in-memory singleton removal
  68. Thu Jan 02 19:07:17 2020 begin with 212062468 relations and 150330366 unique ideals
  69. Thu Jan 02 19:08:37 2020 reduce to 211796479 relations and 144193617 ideals in 9 passes
  70. Thu Jan 02 19:08:37 2020 max relations containing the same ideal: 20
  71. Thu Jan 02 19:09:32 2020 removing 7396679 relations and 5396679 ideals in 2000000 cliques
  72. Thu Jan 02 19:09:34 2020 commencing in-memory singleton removal
  73. Thu Jan 02 19:09:42 2020 begin with 204399800 relations and 144193617 unique ideals
  74. Thu Jan 02 19:10:41 2020 reduce to 204159071 relations and 138553798 ideals in 7 passes
  75. Thu Jan 02 19:10:41 2020 max relations containing the same ideal: 20
  76. Thu Jan 02 19:11:33 2020 removing 7085835 relations and 5085835 ideals in 2000000 cliques
  77. Thu Jan 02 19:11:35 2020 commencing in-memory singleton removal
  78. Thu Jan 02 19:11:42 2020 begin with 197073236 relations and 138553798 unique ideals
  79. Thu Jan 02 19:12:39 2020 reduce to 196841146 relations and 133233529 ideals in 7 passes
  80. Thu Jan 02 19:12:39 2020 max relations containing the same ideal: 20
  81. Thu Jan 02 19:13:30 2020 removing 6843165 relations and 4843165 ideals in 2000000 cliques
  82. Thu Jan 02 19:13:33 2020 commencing in-memory singleton removal
  83. Thu Jan 02 19:13:40 2020 begin with 189997981 relations and 133233529 unique ideals
  84. Thu Jan 02 19:14:42 2020 reduce to 189770294 relations and 128160267 ideals in 8 passes
  85. Thu Jan 02 19:14:42 2020 max relations containing the same ideal: 20
  86. Thu Jan 02 19:15:31 2020 removing 6768192 relations and 4768192 ideals in 2000000 cliques
  87. Thu Jan 02 19:15:33 2020 commencing in-memory singleton removal
  88. Thu Jan 02 19:15:39 2020 begin with 183002102 relations and 128160267 unique ideals
  89. Thu Jan 02 19:16:31 2020 reduce to 182793415 relations and 123181209 ideals in 7 passes
  90. Thu Jan 02 19:16:31 2020 max relations containing the same ideal: 20
  91. Thu Jan 02 19:17:17 2020 removing 6568353 relations and 4568353 ideals in 2000000 cliques
  92. Thu Jan 02 19:17:20 2020 commencing in-memory singleton removal
  93. Thu Jan 02 19:17:26 2020 begin with 176225062 relations and 123181209 unique ideals
  94. Thu Jan 02 19:18:22 2020 reduce to 176012985 relations and 118398446 ideals in 8 passes
  95. Thu Jan 02 19:18:22 2020 max relations containing the same ideal: 20
  96. Thu Jan 02 19:19:08 2020 removing 6459665 relations and 4459665 ideals in 2000000 cliques
  97. Thu Jan 02 19:19:10 2020 commencing in-memory singleton removal
  98. Thu Jan 02 19:19:16 2020 begin with 169553320 relations and 118398446 unique ideals
  99. Thu Jan 02 19:20:03 2020 reduce to 169336657 relations and 113719578 ideals in 7 passes
  100. Thu Jan 02 19:20:03 2020 max relations containing the same ideal: 20
  101. Thu Jan 02 19:20:45 2020 removing 6371256 relations and 4371256 ideals in 2000000 cliques
  102. Thu Jan 02 19:20:48 2020 commencing in-memory singleton removal
  103. Thu Jan 02 19:20:53 2020 begin with 162965401 relations and 113719578 unique ideals
  104. Thu Jan 02 19:21:44 2020 reduce to 162746531 relations and 109126792 ideals in 8 passes
  105. Thu Jan 02 19:21:44 2020 max relations containing the same ideal: 20
  106. Thu Jan 02 19:22:26 2020 removing 6372400 relations and 4372400 ideals in 2000000 cliques
  107. Thu Jan 02 19:22:29 2020 commencing in-memory singleton removal
  108. Thu Jan 02 19:22:34 2020 begin with 156374131 relations and 109126792 unique ideals
  109. Thu Jan 02 19:23:10 2020 reduce to 156160860 relations and 104538450 ideals in 6 passes
  110. Thu Jan 02 19:23:10 2020 max relations containing the same ideal: 20
  111. Thu Jan 02 19:23:50 2020 removing 6270951 relations and 4270951 ideals in 2000000 cliques
  112. Thu Jan 02 19:23:52 2020 commencing in-memory singleton removal
  113. Thu Jan 02 19:23:57 2020 begin with 149889909 relations and 104538450 unique ideals
  114. Thu Jan 02 19:24:37 2020 reduce to 149670908 relations and 100045503 ideals in 7 passes
  115. Thu Jan 02 19:24:37 2020 max relations containing the same ideal: 20
  116. Thu Jan 02 19:25:15 2020 removing 6273627 relations and 4273627 ideals in 2000000 cliques
  117. Thu Jan 02 19:25:17 2020 commencing in-memory singleton removal
  118. Thu Jan 02 19:25:21 2020 begin with 143397281 relations and 100045503 unique ideals
  119. Thu Jan 02 19:26:05 2020 reduce to 143179589 relations and 95551171 ideals in 8 passes
  120. Thu Jan 02 19:26:05 2020 max relations containing the same ideal: 20
  121. Thu Jan 02 19:26:40 2020 removing 6168407 relations and 4168407 ideals in 2000000 cliques
  122. Thu Jan 02 19:26:43 2020 commencing in-memory singleton removal
  123. Thu Jan 02 19:26:47 2020 begin with 137011182 relations and 95551171 unique ideals
  124. Thu Jan 02 19:27:23 2020 reduce to 136787915 relations and 91156355 ideals in 7 passes
  125. Thu Jan 02 19:27:23 2020 max relations containing the same ideal: 20
  126. Thu Jan 02 19:27:57 2020 removing 6110118 relations and 4110118 ideals in 2000000 cliques
  127. Thu Jan 02 19:27:59 2020 commencing in-memory singleton removal
  128. Thu Jan 02 19:28:03 2020 begin with 130677797 relations and 91156355 unique ideals
  129. Thu Jan 02 19:28:41 2020 reduce to 130414148 relations and 86778542 ideals in 8 passes
  130. Thu Jan 02 19:28:41 2020 max relations containing the same ideal: 20
  131. Thu Jan 02 19:29:14 2020 removing 6136120 relations and 4136120 ideals in 2000000 cliques
  132. Thu Jan 02 19:29:16 2020 commencing in-memory singleton removal
  133. Thu Jan 02 19:29:19 2020 begin with 124278028 relations and 86778542 unique ideals
  134. Thu Jan 02 19:29:56 2020 reduce to 124023682 relations and 82383906 ideals in 8 passes
  135. Thu Jan 02 19:29:56 2020 max relations containing the same ideal: 19
  136. Thu Jan 02 19:30:26 2020 removing 6144338 relations and 4144338 ideals in 2000000 cliques
  137. Thu Jan 02 19:30:28 2020 commencing in-memory singleton removal
  138. Thu Jan 02 19:30:32 2020 begin with 117879344 relations and 82383906 unique ideals
  139. Thu Jan 02 19:31:02 2020 reduce to 117620539 relations and 77976196 ideals in 7 passes
  140. Thu Jan 02 19:31:02 2020 max relations containing the same ideal: 19
  141. Thu Jan 02 19:31:31 2020 removing 6148821 relations and 4148821 ideals in 2000000 cliques
  142. Thu Jan 02 19:31:33 2020 commencing in-memory singleton removal
  143. Thu Jan 02 19:31:36 2020 begin with 111471718 relations and 77976196 unique ideals
  144. Thu Jan 02 19:32:12 2020 reduce to 111213065 relations and 73564045 ideals in 9 passes
  145. Thu Jan 02 19:32:12 2020 max relations containing the same ideal: 19
  146. Thu Jan 02 19:32:40 2020 removing 6095791 relations and 4095791 ideals in 2000000 cliques
  147. Thu Jan 02 19:32:42 2020 commencing in-memory singleton removal
  148. Thu Jan 02 19:32:45 2020 begin with 105117274 relations and 73564045 unique ideals
  149. Thu Jan 02 19:33:14 2020 reduce to 104826927 relations and 69172377 ideals in 8 passes
  150. Thu Jan 02 19:33:14 2020 max relations containing the same ideal: 19
  151. Thu Jan 02 19:33:40 2020 removing 6006750 relations and 4006750 ideals in 2000000 cliques
  152. Thu Jan 02 19:33:42 2020 commencing in-memory singleton removal
  153. Thu Jan 02 19:33:45 2020 begin with 98820177 relations and 69172377 unique ideals
  154. Thu Jan 02 19:34:12 2020 reduce to 98474995 relations and 64813287 ideals in 8 passes
  155. Thu Jan 02 19:34:12 2020 max relations containing the same ideal: 18
  156. Thu Jan 02 19:34:36 2020 removing 6193926 relations and 4193926 ideals in 2000000 cliques
  157. Thu Jan 02 19:34:37 2020 commencing in-memory singleton removal
  158. Thu Jan 02 19:34:40 2020 begin with 92281069 relations and 64813287 unique ideals
  159. Thu Jan 02 19:35:08 2020 reduce to 91980402 relations and 60312460 ideals in 9 passes
  160. Thu Jan 02 19:35:08 2020 max relations containing the same ideal: 18
  161. Thu Jan 02 19:35:31 2020 removing 6063701 relations and 4063701 ideals in 2000000 cliques
  162. Thu Jan 02 19:35:32 2020 commencing in-memory singleton removal
  163. Thu Jan 02 19:35:35 2020 begin with 85916701 relations and 60312460 unique ideals
  164. Thu Jan 02 19:35:57 2020 reduce to 85536801 relations and 55860326 ideals in 8 passes
  165. Thu Jan 02 19:35:57 2020 max relations containing the same ideal: 18
  166. Thu Jan 02 19:36:18 2020 removing 6115273 relations and 4115273 ideals in 2000000 cliques
  167. Thu Jan 02 19:36:20 2020 commencing in-memory singleton removal
  168. Thu Jan 02 19:36:22 2020 begin with 79421528 relations and 55860326 unique ideals
  169. Thu Jan 02 19:36:45 2020 reduce to 79033602 relations and 51347545 ideals in 9 passes
  170. Thu Jan 02 19:36:45 2020 max relations containing the same ideal: 17
  171. Thu Jan 02 19:37:05 2020 removing 6143683 relations and 4143683 ideals in 2000000 cliques
  172. Thu Jan 02 19:37:06 2020 commencing in-memory singleton removal
  173. Thu Jan 02 19:37:08 2020 begin with 72889919 relations and 51347545 unique ideals
  174. Thu Jan 02 19:37:26 2020 reduce to 72443890 relations and 46745928 ideals in 8 passes
  175. Thu Jan 02 19:37:26 2020 max relations containing the same ideal: 17
  176. Thu Jan 02 19:37:44 2020 removing 6151016 relations and 4151016 ideals in 2000000 cliques
  177. Thu Jan 02 19:37:45 2020 commencing in-memory singleton removal
  178. Thu Jan 02 19:37:47 2020 begin with 66292874 relations and 46745928 unique ideals
  179. Thu Jan 02 19:38:05 2020 reduce to 65822885 relations and 42111355 ideals in 9 passes
  180. Thu Jan 02 19:38:05 2020 max relations containing the same ideal: 17
  181. Thu Jan 02 19:38:21 2020 removing 5794388 relations and 3950919 ideals in 1843469 cliques
  182. Thu Jan 02 19:38:22 2020 commencing in-memory singleton removal
  183. Thu Jan 02 19:38:24 2020 begin with 60028497 relations and 42111355 unique ideals
  184. Thu Jan 02 19:38:39 2020 reduce to 59613304 relations and 37733797 ideals in 9 passes
  185. Thu Jan 02 19:38:39 2020 max relations containing the same ideal: 15
  186. Thu Jan 02 19:38:54 2020 removing 34507 relations and 23061 ideals in 11446 cliques
  187. Thu Jan 02 19:38:54 2020 commencing in-memory singleton removal
  188. Thu Jan 02 19:38:55 2020 begin with 59578797 relations and 37733797 unique ideals
  189. Thu Jan 02 19:39:02 2020 reduce to 59578679 relations and 37710617 ideals in 4 passes
  190. Thu Jan 02 19:39:02 2020 max relations containing the same ideal: 15
  191. Thu Jan 02 19:39:05 2020 relations with 0 large ideals: 5260184
  192. Thu Jan 02 19:39:05 2020 relations with 1 large ideals: 20384860
  193. Thu Jan 02 19:39:05 2020 relations with 2 large ideals: 23590745
  194. Thu Jan 02 19:39:05 2020 relations with 3 large ideals: 9052470
  195. Thu Jan 02 19:39:05 2020 relations with 4 large ideals: 1215953
  196. Thu Jan 02 19:39:05 2020 relations with 5 large ideals: 71834
  197. Thu Jan 02 19:39:05 2020 relations with 6 large ideals: 2605
  198. Thu Jan 02 19:39:05 2020 relations with 7+ large ideals: 28
  199. Thu Jan 02 19:39:05 2020 commencing 2-way merge
  200. Thu Jan 02 19:39:24 2020 reduce to 35027705 relation sets and 13159643 unique ideals
  201. Thu Jan 02 19:39:24 2020 commencing full merge
  202. Thu Jan 02 19:40:34 2020 memory use: 1378.0 MB
  203. Thu Jan 02 19:40:38 2020 found 21853509 cycles, need 18851976
  204. Thu Jan 02 19:40:40 2020 weight of 18851976 cycles is about 1055184407 (55.97/cycle)
  205. Thu Jan 02 19:40:40 2020 distribution of cycle lengths:
  206. Thu Jan 02 19:40:40 2020 1 relations: 5260184
  207. Thu Jan 02 19:40:40 2020 2 relations: 2617257
  208. Thu Jan 02 19:40:40 2020 3 relations: 2036106
  209. Thu Jan 02 19:40:40 2020 4 relations: 1793037
  210. Thu Jan 02 19:40:40 2020 5 relations: 1641441
  211. Thu Jan 02 19:40:40 2020 6 relations: 1466486
  212. Thu Jan 02 19:40:40 2020 7 relations: 1284354
  213. Thu Jan 02 19:40:40 2020 8 relations: 1090681
  214. Thu Jan 02 19:40:40 2020 9 relations: 859144
  215. Thu Jan 02 19:40:40 2020 10+ relations: 803286
  216. Thu Jan 02 19:40:40 2020 heaviest cycle: 13 relations
  217. Thu Jan 02 19:40:40 2020 matrix not dense enough, retrying
  218. Thu Jan 02 19:40:49 2020 reading large ideals from disk
  219. Thu Jan 02 19:44:41 2020 keeping 170358109 ideals with weight <= 25, target excess is 16161551
  220. Thu Jan 02 19:50:05 2020 memory use: 5268.7 MB
  221. Thu Jan 02 19:50:05 2020 commencing in-memory singleton removal
  222. Thu Jan 02 19:50:14 2020 begin with 241259831 relations and 170358109 unique ideals
  223. Thu Jan 02 19:52:04 2020 reduce to 241248891 relations and 170347169 ideals in 10 passes
  224. Thu Jan 02 19:52:04 2020 max relations containing the same ideal: 25
  225. Thu Jan 02 19:53:10 2020 removing 11861531 relations and 9861531 ideals in 2000000 cliques
  226. Thu Jan 02 19:53:14 2020 commencing in-memory singleton removal
  227. Thu Jan 02 19:53:23 2020 begin with 229387360 relations and 170347169 unique ideals
  228. Thu Jan 02 19:54:45 2020 reduce to 228919562 relations and 160012549 ideals in 8 passes
  229. Thu Jan 02 19:54:45 2020 max relations containing the same ideal: 25
  230. Thu Jan 02 19:55:47 2020 removing 8847383 relations and 6847383 ideals in 2000000 cliques
  231. Thu Jan 02 19:55:50 2020 commencing in-memory singleton removal
  232. Thu Jan 02 19:55:59 2020 begin with 220072179 relations and 160012549 unique ideals
  233. Thu Jan 02 19:57:07 2020 reduce to 219765386 relations and 152855381 ideals in 7 passes
  234. Thu Jan 02 19:57:07 2020 max relations containing the same ideal: 25
  235. Thu Jan 02 19:58:06 2020 removing 7948694 relations and 5948694 ideals in 2000000 cliques
  236. Thu Jan 02 19:58:09 2020 commencing in-memory singleton removal
  237. Thu Jan 02 19:58:17 2020 begin with 211816692 relations and 152855381 unique ideals
  238. Thu Jan 02 19:59:42 2020 reduce to 211554315 relations and 146641937 ideals in 9 passes
  239. Thu Jan 02 19:59:42 2020 max relations containing the same ideal: 25
  240. Thu Jan 02 20:00:39 2020 removing 7451325 relations and 5451325 ideals in 2000000 cliques
  241. Thu Jan 02 20:00:42 2020 commencing in-memory singleton removal
  242. Thu Jan 02 20:00:49 2020 begin with 204102990 relations and 146641937 unique ideals
  243. Thu Jan 02 20:01:52 2020 reduce to 203863540 relations and 140948822 ideals in 7 passes
  244. Thu Jan 02 20:01:52 2020 max relations containing the same ideal: 25
  245. Thu Jan 02 20:02:47 2020 removing 7132058 relations and 5132058 ideals in 2000000 cliques
  246. Thu Jan 02 20:02:50 2020 commencing in-memory singleton removal
  247. Thu Jan 02 20:02:57 2020 begin with 196731482 relations and 140948822 unique ideals
  248. Thu Jan 02 20:03:49 2020 reduce to 196505179 relations and 135588256 ideals in 6 passes
  249. Thu Jan 02 20:03:49 2020 max relations containing the same ideal: 25
  250. Thu Jan 02 20:04:42 2020 removing 6918276 relations and 4918276 ideals in 2000000 cliques
  251. Thu Jan 02 20:04:45 2020 commencing in-memory singleton removal
  252. Thu Jan 02 20:04:52 2020 begin with 189586903 relations and 135588256 unique ideals
  253. Thu Jan 02 20:05:50 2020 reduce to 189369302 relations and 130450197 ideals in 7 passes
  254. Thu Jan 02 20:05:50 2020 max relations containing the same ideal: 25
  255. Thu Jan 02 20:06:40 2020 removing 6752031 relations and 4752031 ideals in 2000000 cliques
  256. Thu Jan 02 20:06:42 2020 commencing in-memory singleton removal
  257. Thu Jan 02 20:06:49 2020 begin with 182617271 relations and 130450197 unique ideals
  258. Thu Jan 02 20:07:44 2020 reduce to 182399521 relations and 125478121 ideals in 7 passes
  259. Thu Jan 02 20:07:44 2020 max relations containing the same ideal: 25
  260. Thu Jan 02 20:08:33 2020 removing 6647338 relations and 4647338 ideals in 2000000 cliques
  261. Thu Jan 02 20:08:36 2020 commencing in-memory singleton removal
  262. Thu Jan 02 20:08:42 2020 begin with 175752183 relations and 125478121 unique ideals
  263. Thu Jan 02 20:09:35 2020 reduce to 175546769 relations and 120623157 ideals in 7 passes
  264. Thu Jan 02 20:09:35 2020 max relations containing the same ideal: 25
  265. Thu Jan 02 20:10:21 2020 removing 6529037 relations and 4529037 ideals in 2000000 cliques
  266. Thu Jan 02 20:10:24 2020 commencing in-memory singleton removal
  267. Thu Jan 02 20:10:30 2020 begin with 169017732 relations and 120623157 unique ideals
  268. Thu Jan 02 20:11:20 2020 reduce to 168809228 relations and 115883282 ideals in 7 passes
  269. Thu Jan 02 20:11:20 2020 max relations containing the same ideal: 25
  270. Thu Jan 02 20:12:06 2020 removing 6413478 relations and 4413478 ideals in 2000000 cliques
  271. Thu Jan 02 20:12:08 2020 commencing in-memory singleton removal
  272. Thu Jan 02 20:12:14 2020 begin with 162395750 relations and 115883282 unique ideals
  273. Thu Jan 02 20:13:02 2020 reduce to 162183841 relations and 111255321 ideals in 7 passes
  274. Thu Jan 02 20:13:02 2020 max relations containing the same ideal: 25
  275. Thu Jan 02 20:13:45 2020 removing 6396816 relations and 4396816 ideals in 2000000 cliques
  276. Thu Jan 02 20:13:48 2020 commencing in-memory singleton removal
  277. Thu Jan 02 20:13:53 2020 begin with 155787025 relations and 111255321 unique ideals
  278. Thu Jan 02 20:14:45 2020 reduce to 155577833 relations and 106646744 ideals in 8 passes
  279. Thu Jan 02 20:14:45 2020 max relations containing the same ideal: 25
  280. Thu Jan 02 20:15:27 2020 removing 6278460 relations and 4278460 ideals in 2000000 cliques
  281. Thu Jan 02 20:15:29 2020 commencing in-memory singleton removal
  282. Thu Jan 02 20:15:34 2020 begin with 149299373 relations and 106646744 unique ideals
  283. Thu Jan 02 20:16:18 2020 reduce to 149079088 relations and 102145092 ideals in 7 passes
  284. Thu Jan 02 20:16:18 2020 max relations containing the same ideal: 25
  285. Thu Jan 02 20:16:57 2020 removing 6300859 relations and 4300859 ideals in 2000000 cliques
  286. Thu Jan 02 20:16:59 2020 commencing in-memory singleton removal
  287. Thu Jan 02 20:17:04 2020 begin with 142778229 relations and 102145092 unique ideals
  288. Thu Jan 02 20:17:51 2020 reduce to 142563847 relations and 97626948 ideals in 8 passes
  289. Thu Jan 02 20:17:51 2020 max relations containing the same ideal: 25
  290. Thu Jan 02 20:18:29 2020 removing 6204392 relations and 4204392 ideals in 2000000 cliques
  291. Thu Jan 02 20:18:31 2020 commencing in-memory singleton removal
  292. Thu Jan 02 20:18:36 2020 begin with 136359455 relations and 97626948 unique ideals
  293. Thu Jan 02 20:19:20 2020 reduce to 136128893 relations and 93188703 ideals in 8 passes
  294. Thu Jan 02 20:19:20 2020 max relations containing the same ideal: 25
  295. Thu Jan 02 20:19:56 2020 removing 6198665 relations and 4198665 ideals in 2000000 cliques
  296. Thu Jan 02 20:19:58 2020 commencing in-memory singleton removal
  297. Thu Jan 02 20:20:03 2020 begin with 129930228 relations and 93188703 unique ideals
  298. Thu Jan 02 20:20:39 2020 reduce to 129693456 relations and 88749782 ideals in 7 passes
  299. Thu Jan 02 20:20:39 2020 max relations containing the same ideal: 24
  300. Thu Jan 02 20:21:14 2020 removing 6192586 relations and 4192586 ideals in 2000000 cliques
  301. Thu Jan 02 20:21:16 2020 commencing in-memory singleton removal
  302. Thu Jan 02 20:21:20 2020 begin with 123500870 relations and 88749782 unique ideals
  303. Thu Jan 02 20:21:54 2020 reduce to 123266772 relations and 84319255 ideals in 7 passes
  304. Thu Jan 02 20:21:54 2020 max relations containing the same ideal: 24
  305. Thu Jan 02 20:22:28 2020 removing 6157349 relations and 4157349 ideals in 2000000 cliques
  306. Thu Jan 02 20:22:30 2020 commencing in-memory singleton removal
  307. Thu Jan 02 20:22:34 2020 begin with 117109423 relations and 84319255 unique ideals
  308. Thu Jan 02 20:23:05 2020 reduce to 116864497 relations and 79912938 ideals in 7 passes
  309. Thu Jan 02 20:23:05 2020 max relations containing the same ideal: 24
  310. Thu Jan 02 20:23:37 2020 removing 6147732 relations and 4147732 ideals in 2000000 cliques
  311. Thu Jan 02 20:23:39 2020 commencing in-memory singleton removal
  312. Thu Jan 02 20:23:42 2020 begin with 110716765 relations and 79912938 unique ideals
  313. Thu Jan 02 20:24:12 2020 reduce to 110450597 relations and 75494356 ideals in 7 passes
  314. Thu Jan 02 20:24:12 2020 max relations containing the same ideal: 23
  315. Thu Jan 02 20:24:42 2020 removing 6087213 relations and 4087213 ideals in 2000000 cliques
  316. Thu Jan 02 20:24:44 2020 commencing in-memory singleton removal
  317. Thu Jan 02 20:24:47 2020 begin with 104363384 relations and 75494356 unique ideals
  318. Thu Jan 02 20:25:14 2020 reduce to 104059943 relations and 71097901 ideals in 7 passes
  319. Thu Jan 02 20:25:14 2020 max relations containing the same ideal: 22
  320. Thu Jan 02 20:25:42 2020 removing 6145557 relations and 4145557 ideals in 2000000 cliques
  321. Thu Jan 02 20:25:44 2020 commencing in-memory singleton removal
  322. Thu Jan 02 20:25:47 2020 begin with 97914386 relations and 71097901 unique ideals
  323. Thu Jan 02 20:26:13 2020 reduce to 97617139 relations and 66649141 ideals in 7 passes
  324. Thu Jan 02 20:26:13 2020 max relations containing the same ideal: 22
  325. Thu Jan 02 20:26:39 2020 removing 6196133 relations and 4196133 ideals in 2000000 cliques
  326. Thu Jan 02 20:26:40 2020 commencing in-memory singleton removal
  327. Thu Jan 02 20:26:43 2020 begin with 91421006 relations and 66649141 unique ideals
  328. Thu Jan 02 20:27:07 2020 reduce to 91109038 relations and 62134522 ideals in 7 passes
  329. Thu Jan 02 20:27:07 2020 max relations containing the same ideal: 22
  330. Thu Jan 02 20:27:31 2020 removing 6186834 relations and 4186834 ideals in 2000000 cliques
  331. Thu Jan 02 20:27:33 2020 commencing in-memory singleton removal
  332. Thu Jan 02 20:27:35 2020 begin with 84922204 relations and 62134522 unique ideals
  333. Thu Jan 02 20:28:00 2020 reduce to 84596210 relations and 57614427 ideals in 8 passes
  334. Thu Jan 02 20:28:00 2020 max relations containing the same ideal: 22
  335. Thu Jan 02 20:28:22 2020 removing 6180713 relations and 4180713 ideals in 2000000 cliques
  336. Thu Jan 02 20:28:24 2020 commencing in-memory singleton removal
  337. Thu Jan 02 20:28:26 2020 begin with 78415497 relations and 57614427 unique ideals
  338. Thu Jan 02 20:28:48 2020 reduce to 78045565 relations and 53055100 ideals in 8 passes
  339. Thu Jan 02 20:28:48 2020 max relations containing the same ideal: 22
  340. Thu Jan 02 20:29:09 2020 removing 6146654 relations and 4146654 ideals in 2000000 cliques
  341. Thu Jan 02 20:29:11 2020 commencing in-memory singleton removal
  342. Thu Jan 02 20:29:13 2020 begin with 71898911 relations and 53055100 unique ideals
  343. Thu Jan 02 20:29:32 2020 reduce to 71453219 relations and 48451123 ideals in 8 passes
  344. Thu Jan 02 20:29:32 2020 max relations containing the same ideal: 20
  345. Thu Jan 02 20:29:51 2020 removing 6320204 relations and 4320204 ideals in 2000000 cliques
  346. Thu Jan 02 20:29:53 2020 commencing in-memory singleton removal
  347. Thu Jan 02 20:29:54 2020 begin with 65133015 relations and 48451123 unique ideals
  348. Thu Jan 02 20:30:14 2020 reduce to 64702710 relations and 43689021 ideals in 9 passes
  349. Thu Jan 02 20:30:14 2020 max relations containing the same ideal: 19
  350. Thu Jan 02 20:30:31 2020 removing 6296117 relations and 4296117 ideals in 2000000 cliques
  351. Thu Jan 02 20:30:33 2020 commencing in-memory singleton removal
  352. Thu Jan 02 20:30:34 2020 begin with 58406593 relations and 43689021 unique ideals
  353. Thu Jan 02 20:30:49 2020 reduce to 57882757 relations and 38853139 ideals in 8 passes
  354. Thu Jan 02 20:30:49 2020 max relations containing the same ideal: 18
  355. Thu Jan 02 20:31:04 2020 removing 933712 relations and 651494 ideals in 282218 cliques
  356. Thu Jan 02 20:31:05 2020 commencing in-memory singleton removal
  357. Thu Jan 02 20:31:06 2020 begin with 56949045 relations and 38853139 unique ideals
  358. Thu Jan 02 20:31:19 2020 reduce to 56920869 relations and 38173329 ideals in 7 passes
  359. Thu Jan 02 20:31:19 2020 max relations containing the same ideal: 18
  360. Thu Jan 02 20:31:35 2020 relations with 0 large ideals: 3606296
  361. Thu Jan 02 20:31:35 2020 relations with 1 large ideals: 15808660
  362. Thu Jan 02 20:31:35 2020 relations with 2 large ideals: 22380121
  363. Thu Jan 02 20:31:35 2020 relations with 3 large ideals: 12143525
  364. Thu Jan 02 20:31:35 2020 relations with 4 large ideals: 2688188
  365. Thu Jan 02 20:31:35 2020 relations with 5 large ideals: 275530
  366. Thu Jan 02 20:31:35 2020 relations with 6 large ideals: 17764
  367. Thu Jan 02 20:31:35 2020 relations with 7+ large ideals: 785
  368. Thu Jan 02 20:31:35 2020 commencing 2-way merge
  369. Thu Jan 02 20:31:54 2020 reduce to 33928816 relation sets and 15181276 unique ideals
  370. Thu Jan 02 20:31:54 2020 commencing full merge
  371. Thu Jan 02 20:33:56 2020 memory use: 1537.7 MB
  372. Thu Jan 02 20:34:00 2020 found 18260611 cycles, need 16161751
  373. Thu Jan 02 20:34:01 2020 weight of 16161751 cycles is about 1456776013 (90.14/cycle)
  374. Thu Jan 02 20:34:01 2020 distribution of cycle lengths:
  375. Thu Jan 02 20:34:01 2020 1 relations: 3606296
  376. Thu Jan 02 20:34:01 2020 2 relations: 1664563
  377. Thu Jan 02 20:34:01 2020 3 relations: 1223021
  378. Thu Jan 02 20:34:01 2020 4 relations: 1039834
  379. Thu Jan 02 20:34:01 2020 5 relations: 962576
  380. Thu Jan 02 20:34:01 2020 6 relations: 901216
  381. Thu Jan 02 20:34:01 2020 7 relations: 860313
  382. Thu Jan 02 20:34:01 2020 8 relations: 813867
  383. Thu Jan 02 20:34:01 2020 9 relations: 768549
  384. Thu Jan 02 20:34:01 2020 10+ relations: 4321516
  385. Thu Jan 02 20:34:01 2020 heaviest cycle: 21 relations
  386. Thu Jan 02 20:34:02 2020 commencing cycle optimization
  387. Thu Jan 02 20:34:22 2020 start with 101231882 relations
  388. Thu Jan 02 20:37:20 2020 pruned 9591722 relations
  389. Thu Jan 02 20:37:20 2020 memory use: 2875.3 MB
  390. Thu Jan 02 20:37:20 2020 distribution of cycle lengths:
  391. Thu Jan 02 20:37:20 2020 1 relations: 3606296
  392. Thu Jan 02 20:37:20 2020 2 relations: 1730445
  393. Thu Jan 02 20:37:20 2020 3 relations: 1308246
  394. Thu Jan 02 20:37:20 2020 4 relations: 1134715
  395. Thu Jan 02 20:37:20 2020 5 relations: 1083380
  396. Thu Jan 02 20:37:20 2020 6 relations: 1038476
  397. Thu Jan 02 20:37:20 2020 7 relations: 1008949
  398. Thu Jan 02 20:37:20 2020 8 relations: 953520
  399. Thu Jan 02 20:37:20 2020 9 relations: 891507
  400. Thu Jan 02 20:37:20 2020 10+ relations: 3406217
  401. Thu Jan 02 20:37:20 2020 heaviest cycle: 20 relations
  402. Thu Jan 02 20:37:46 2020 RelProcTime: 19427
  403. Thu Jan 02 20:37:46 2020
  404. Thu Jan 02 20:37:46 2020 commencing linear algebra
  405. Thu Jan 02 20:37:49 2020 read 16161751 cycles
  406. Thu Jan 02 20:38:12 2020 cycles contain 47343589 unique relations
  407. Thu Jan 02 20:51:35 2020 read 47343589 relations
  408. Thu Jan 02 20:52:49 2020 using 20 quadratic characters above 4294917296
  409. Thu Jan 02 20:56:13 2020 building initial matrix
  410. Thu Jan 02 21:04:15 2020 memory use: 6512.2 MB
  411. Thu Jan 02 21:04:29 2020 read 16161751 cycles
  412. Thu Jan 02 21:04:35 2020 matrix is 16157999 x 16161751 (5539.3 MB) with weight 1694034549 (104.82/col)
  413. Thu Jan 02 21:04:35 2020 sparse part has weight 1258142395 (77.85/col)
  414. Thu Jan 02 21:08:59 2020 filtering completed in 3 passes
  415. Thu Jan 02 21:09:05 2020 matrix is 16076685 x 16076885 (5522.5 MB) with weight 1688548843 (105.03/col)
  416. Thu Jan 02 21:09:05 2020 sparse part has weight 1254765507 (78.05/col)
  417. Thu Jan 02 21:10:38 2020 matrix starts at (0, 0)
  418. Thu Jan 02 21:10:43 2020 matrix is 16076685 x 16076885 (5522.5 MB) with weight 1688548843 (105.03/col)
  419. Thu Jan 02 21:10:43 2020 sparse part has weight 1254765507 (78.05/col)
  420. Thu Jan 02 21:10:44 2020 saving the first 48 matrix rows for later
  421. Thu Jan 02 21:10:47 2020 matrix includes 64 packed rows
  422. Thu Jan 02 21:10:50 2020 matrix is 16076637 x 16076885 (5321.2 MB) with weight 1383223815 (86.04/col)
  423. Thu Jan 02 21:10:50 2020 sparse part has weight 1234158945 (76.77/col)
  424. Thu Jan 02 21:10:50 2020 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  425. Thu Jan 02 21:12:09 2020 commencing Lanczos iteration (8 threads)
  426. Thu Jan 02 21:12:09 2020 memory use: 4433.6 MB
  427. Thu Jan 02 21:14:06 2020 linear algebra at 0.0%, ETA 329h53m
  428. Thu Jan 02 21:14:43 2020 checkpointing every 50000 dimensions
  429. Thu Jan 16 12:28:30 2020 lanczos halted after 254239 iterations (dim = 16076633)
  430. Thu Jan 16 12:28:59 2020 recovered 27 nontrivial dependencies
  431. Thu Jan 16 12:29:13 2020 BLanczosTime: 1180287
  432. Thu Jan 16 12:29:13 2020
  433. Thu Jan 16 12:29:13 2020 commencing square root phase
  434. Thu Jan 16 12:29:13 2020 handling dependencies 1 to 64
  435. Thu Jan 16 12:29:13 2020 reading relations for dependency 1
  436. Thu Jan 16 12:29:18 2020 read 8036291 cycles
  437. Thu Jan 16 12:29:29 2020 cycles contain 23614168 unique relations
  438. Thu Jan 16 12:42:41 2020 read 23614168 relations
  439. Thu Jan 16 12:44:49 2020 multiplying 23614168 relations
  440. Thu Jan 16 13:21:34 2020 multiply complete, coefficients have about 1337.37 million bits
  441. Thu Jan 16 13:21:50 2020 initial square root is modulo 997963
  442. Thu Jan 16 14:07:52 2020 GCD is 1, no factor found
  443. Thu Jan 16 14:07:52 2020 reading relations for dependency 2
  444. Thu Jan 16 14:07:55 2020 read 8040741 cycles
  445. Thu Jan 16 14:08:06 2020 cycles contain 23633354 unique relations
  446. Thu Jan 16 14:21:41 2020 read 23633354 relations
  447. Thu Jan 16 14:23:48 2020 multiplying 23633354 relations
  448. Thu Jan 16 15:00:36 2020 multiply complete, coefficients have about 1338.45 million bits
  449. Thu Jan 16 15:00:52 2020 initial square root is modulo 1009153
  450. Thu Jan 16 15:46:56 2020 GCD is 1, no factor found
  451. Thu Jan 16 15:46:56 2020 reading relations for dependency 3
  452. Thu Jan 16 15:47:06 2020 read 8035267 cycles
  453. Thu Jan 16 15:47:18 2020 cycles contain 23623906 unique relations
  454. Thu Jan 16 16:00:28 2020 read 23623906 relations
  455. Thu Jan 16 16:02:35 2020 multiplying 23623906 relations
  456. Thu Jan 16 16:39:21 2020 multiply complete, coefficients have about 1337.94 million bits
  457. Thu Jan 16 16:39:37 2020 initial square root is modulo 1003897
  458. Thu Jan 16 17:25:36 2020 sqrtTime: 17783
  459. Thu Jan 16 17:25:36 2020 prp66 factor: 640005294894818484634853105819674750095504654071299648556496906251
  460. Thu Jan 16 17:25:36 2020 prp109 factor: 2808428129289929575984542372604927105935234142547161335553644147249624155986537347333719583319386668131491901
  461. Thu Jan 16 17:25:36 2020 elapsed time 338:11:38
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