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Mar 15th, 2022
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  1. Wed Mar 9 23:03:01 2022
  2. Wed Mar 9 23:03:01 2022
  3. Wed Mar 9 23:03:01 2022 Msieve v. 1.54 (SVN 1040M)
  4. Wed Mar 9 23:03:01 2022 random seeds: d3e67a64 801b5140
  5. Wed Mar 9 23:03:01 2022 factoring 36860066201888512290940086443141501667418852463621850457460187197232158243824348473033724380872791936275622703788081798388348161214255491322846973107383191607807366614269629612852353409309005651396853345000070868081990769485029162193001 (236 digits)
  6. Wed Mar 9 23:03:02 2022 searching for 15-digit factors
  7. Wed Mar 9 23:03:02 2022 commencing number field sieve (236-digit input)
  8. Wed Mar 9 23:03:02 2022 R0: 22300745198530623141535718272648361505980416
  9. Wed Mar 9 23:03:02 2022 R1: -3552713678800500929355621337890625
  10. Wed Mar 9 23:03:02 2022 A0: -5
  11. Wed Mar 9 23:03:02 2022 A1: 0
  12. Wed Mar 9 23:03:02 2022 A2: 0
  13. Wed Mar 9 23:03:02 2022 A3: 0
  14. Wed Mar 9 23:03:02 2022 A4: 0
  15. Wed Mar 9 23:03:02 2022 A5: 0
  16. Wed Mar 9 23:03:02 2022 A6: 8
  17. Wed Mar 9 23:03:02 2022 skew 0.92, size 8.750e-13, alpha 0.660, combined = 1.034e-13 rroots = 2
  18. Wed Mar 9 23:03:02 2022
  19. Wed Mar 9 23:03:02 2022 commencing relation filtering
  20. Wed Mar 9 23:03:02 2022 setting target matrix density to 130.0
  21. Wed Mar 9 23:03:02 2022 estimated available RAM is 32768.0 MB
  22. Wed Mar 9 23:03:02 2022 commencing duplicate removal, pass 1
  23. Wed Mar 9 23:18:03 2022 error -15 reading relation 137592958
  24. Wed Mar 9 23:22:58 2022 error -15 reading relation 188138568
  25. Wed Mar 9 23:24:08 2022 error -11 reading relation 200039345
  26. Wed Mar 9 23:24:38 2022 error -1 reading relation 205296871
  27. Wed Mar 9 23:25:15 2022 skipped 967 relations with b > 2^32
  28. Wed Mar 9 23:25:15 2022 skipped 1 relations with composite factors
  29. Wed Mar 9 23:25:15 2022 found 9782948 hash collisions in 211677942 relations
  30. Wed Mar 9 23:25:25 2022 added 1218855 free relations
  31. Wed Mar 9 23:25:25 2022 commencing duplicate removal, pass 2
  32. Wed Mar 9 23:26:18 2022 found 0 duplicates and 212896797 unique relations
  33. Wed Mar 9 23:26:18 2022 memory use: 522.4 MB
  34. Wed Mar 9 23:26:18 2022 reading ideals above 179896320
  35. Wed Mar 9 23:26:18 2022 commencing singleton removal, initial pass
  36. Wed Mar 9 23:41:13 2022 memory use: 5512.0 MB
  37. Wed Mar 9 23:41:14 2022 reading all ideals from disk
  38. Wed Mar 9 23:41:16 2022 memory use: 3767.0 MB
  39. Wed Mar 9 23:41:23 2022 commencing in-memory singleton removal
  40. Wed Mar 9 23:41:31 2022 begin with 212896797 relations and 165926037 unique ideals
  41. Wed Mar 9 23:42:40 2022 reduce to 157360512 relations and 106056010 ideals in 13 passes
  42. Wed Mar 9 23:42:40 2022 max relations containing the same ideal: 43
  43. Wed Mar 9 23:42:52 2022 reading ideals above 720000
  44. Wed Mar 9 23:42:52 2022 commencing singleton removal, initial pass
  45. Wed Mar 9 23:57:28 2022 memory use: 3012.0 MB
  46. Wed Mar 9 23:57:28 2022 reading all ideals from disk
  47. Wed Mar 9 23:57:33 2022 memory use: 6512.1 MB
  48. Wed Mar 9 23:57:50 2022 keeping 125279842 ideals with weight <= 200, target excess is 825134
  49. Wed Mar 9 23:58:05 2022 commencing in-memory singleton removal
  50. Wed Mar 9 23:58:17 2022 begin with 157360512 relations and 125279842 unique ideals
  51. Wed Mar 9 23:59:18 2022 reduce to 157359668 relations and 125278998 ideals in 6 passes
  52. Wed Mar 9 23:59:18 2022 max relations containing the same ideal: 200
  53. Thu Mar 10 00:00:17 2022 removing 10107658 relations and 8107658 ideals in 2000000 cliques
  54. Thu Mar 10 00:00:21 2022 commencing in-memory singleton removal
  55. Thu Mar 10 00:00:32 2022 begin with 147252010 relations and 125278998 unique ideals
  56. Thu Mar 10 00:01:41 2022 reduce to 146719593 relations and 116630166 ideals in 7 passes
  57. Thu Mar 10 00:01:41 2022 max relations containing the same ideal: 198
  58. Thu Mar 10 00:02:35 2022 removing 7821786 relations and 5821786 ideals in 2000000 cliques
  59. Thu Mar 10 00:02:39 2022 commencing in-memory singleton removal
  60. Thu Mar 10 00:02:49 2022 begin with 138897807 relations and 116630166 unique ideals
  61. Thu Mar 10 00:03:53 2022 reduce to 138538673 relations and 110443990 ideals in 7 passes
  62. Thu Mar 10 00:03:53 2022 max relations containing the same ideal: 194
  63. Thu Mar 10 00:04:45 2022 removing 7148788 relations and 5148788 ideals in 2000000 cliques
  64. Thu Mar 10 00:04:49 2022 commencing in-memory singleton removal
  65. Thu Mar 10 00:04:58 2022 begin with 131389885 relations and 110443990 unique ideals
  66. Thu Mar 10 00:05:57 2022 reduce to 131075533 relations and 104976323 ideals in 7 passes
  67. Thu Mar 10 00:05:57 2022 max relations containing the same ideal: 187
  68. Thu Mar 10 00:06:46 2022 removing 6809354 relations and 4809354 ideals in 2000000 cliques
  69. Thu Mar 10 00:06:50 2022 commencing in-memory singleton removal
  70. Thu Mar 10 00:06:58 2022 begin with 124266179 relations and 104976323 unique ideals
  71. Thu Mar 10 00:07:47 2022 reduce to 123968733 relations and 99865220 ideals in 6 passes
  72. Thu Mar 10 00:07:47 2022 max relations containing the same ideal: 181
  73. Thu Mar 10 00:08:33 2022 removing 6602358 relations and 4602358 ideals in 2000000 cliques
  74. Thu Mar 10 00:08:37 2022 commencing in-memory singleton removal
  75. Thu Mar 10 00:08:45 2022 begin with 117366375 relations and 99865220 unique ideals
  76. Thu Mar 10 00:09:38 2022 reduce to 117078931 relations and 94971102 ideals in 7 passes
  77. Thu Mar 10 00:09:38 2022 max relations containing the same ideal: 174
  78. Thu Mar 10 00:10:23 2022 removing 6468045 relations and 4468045 ideals in 2000000 cliques
  79. Thu Mar 10 00:10:26 2022 commencing in-memory singleton removal
  80. Thu Mar 10 00:10:33 2022 begin with 110610886 relations and 94971102 unique ideals
  81. Thu Mar 10 00:11:16 2022 reduce to 110322894 relations and 90210592 ideals in 6 passes
  82. Thu Mar 10 00:11:16 2022 max relations containing the same ideal: 169
  83. Thu Mar 10 00:11:58 2022 removing 6380970 relations and 4380970 ideals in 2000000 cliques
  84. Thu Mar 10 00:12:02 2022 commencing in-memory singleton removal
  85. Thu Mar 10 00:12:09 2022 begin with 103941924 relations and 90210592 unique ideals
  86. Thu Mar 10 00:12:49 2022 reduce to 103650269 relations and 85533117 ideals in 6 passes
  87. Thu Mar 10 00:12:49 2022 max relations containing the same ideal: 161
  88. Thu Mar 10 00:13:29 2022 removing 6322109 relations and 4322109 ideals in 2000000 cliques
  89. Thu Mar 10 00:13:32 2022 commencing in-memory singleton removal
  90. Thu Mar 10 00:13:39 2022 begin with 97328160 relations and 85533117 unique ideals
  91. Thu Mar 10 00:14:22 2022 reduce to 97029600 relations and 80907192 ideals in 7 passes
  92. Thu Mar 10 00:14:22 2022 max relations containing the same ideal: 153
  93. Thu Mar 10 00:15:00 2022 removing 6291521 relations and 4291521 ideals in 2000000 cliques
  94. Thu Mar 10 00:15:03 2022 commencing in-memory singleton removal
  95. Thu Mar 10 00:15:09 2022 begin with 90738079 relations and 80907192 unique ideals
  96. Thu Mar 10 00:15:49 2022 reduce to 90427298 relations and 76299164 ideals in 7 passes
  97. Thu Mar 10 00:15:49 2022 max relations containing the same ideal: 145
  98. Thu Mar 10 00:16:24 2022 removing 6277145 relations and 4277145 ideals in 2000000 cliques
  99. Thu Mar 10 00:16:27 2022 commencing in-memory singleton removal
  100. Thu Mar 10 00:16:33 2022 begin with 84150153 relations and 76299164 unique ideals
  101. Thu Mar 10 00:17:10 2022 reduce to 83821794 relations and 71687123 ideals in 7 passes
  102. Thu Mar 10 00:17:10 2022 max relations containing the same ideal: 140
  103. Thu Mar 10 00:17:43 2022 removing 6282346 relations and 4282346 ideals in 2000000 cliques
  104. Thu Mar 10 00:17:46 2022 commencing in-memory singleton removal
  105. Thu Mar 10 00:17:51 2022 begin with 77539448 relations and 71687123 unique ideals
  106. Thu Mar 10 00:18:26 2022 reduce to 77191304 relations and 67049356 ideals in 7 passes
  107. Thu Mar 10 00:18:26 2022 max relations containing the same ideal: 133
  108. Thu Mar 10 00:18:57 2022 removing 6304247 relations and 4304247 ideals in 2000000 cliques
  109. Thu Mar 10 00:18:59 2022 commencing in-memory singleton removal
  110. Thu Mar 10 00:19:04 2022 begin with 70887057 relations and 67049356 unique ideals
  111. Thu Mar 10 00:19:35 2022 reduce to 70507295 relations and 62356803 ideals in 7 passes
  112. Thu Mar 10 00:19:35 2022 max relations containing the same ideal: 126
  113. Thu Mar 10 00:20:03 2022 removing 6343369 relations and 4343369 ideals in 2000000 cliques
  114. Thu Mar 10 00:20:06 2022 commencing in-memory singleton removal
  115. Thu Mar 10 00:20:10 2022 begin with 64163926 relations and 62356803 unique ideals
  116. Thu Mar 10 00:20:38 2022 reduce to 63745825 relations and 57585217 ideals in 7 passes
  117. Thu Mar 10 00:20:38 2022 max relations containing the same ideal: 121
  118. Thu Mar 10 00:21:03 2022 removing 6401907 relations and 4401907 ideals in 2000000 cliques
  119. Thu Mar 10 00:21:06 2022 commencing in-memory singleton removal
  120. Thu Mar 10 00:21:09 2022 begin with 57343918 relations and 57585217 unique ideals
  121. Thu Mar 10 00:21:37 2022 reduce to 56874887 relations and 52701645 ideals in 8 passes
  122. Thu Mar 10 00:21:37 2022 max relations containing the same ideal: 108
  123. Thu Mar 10 00:22:00 2022 removing 6478596 relations and 4478596 ideals in 2000000 cliques
  124. Thu Mar 10 00:22:02 2022 commencing in-memory singleton removal
  125. Thu Mar 10 00:22:06 2022 begin with 50396291 relations and 52701645 unique ideals
  126. Thu Mar 10 00:22:28 2022 reduce to 49855178 relations and 47665980 ideals in 7 passes
  127. Thu Mar 10 00:22:28 2022 max relations containing the same ideal: 98
  128. Thu Mar 10 00:22:48 2022 removing 4443788 relations and 3211746 ideals in 1232042 cliques
  129. Thu Mar 10 00:22:50 2022 commencing in-memory singleton removal
  130. Thu Mar 10 00:22:53 2022 begin with 45411390 relations and 47665980 unique ideals
  131. Thu Mar 10 00:23:12 2022 reduce to 45119941 relations and 44156624 ideals in 7 passes
  132. Thu Mar 10 00:23:12 2022 max relations containing the same ideal: 93
  133. Thu Mar 10 00:23:35 2022 relations with 0 large ideals: 31211
  134. Thu Mar 10 00:23:35 2022 relations with 1 large ideals: 7135
  135. Thu Mar 10 00:23:35 2022 relations with 2 large ideals: 105016
  136. Thu Mar 10 00:23:35 2022 relations with 3 large ideals: 767792
  137. Thu Mar 10 00:23:35 2022 relations with 4 large ideals: 3071671
  138. Thu Mar 10 00:23:35 2022 relations with 5 large ideals: 7436932
  139. Thu Mar 10 00:23:35 2022 relations with 6 large ideals: 11364396
  140. Thu Mar 10 00:23:35 2022 relations with 7+ large ideals: 22335788
  141. Thu Mar 10 00:23:35 2022 commencing 2-way merge
  142. Thu Mar 10 00:24:01 2022 reduce to 30416587 relation sets and 29453270 unique ideals
  143. Thu Mar 10 00:24:01 2022 commencing full merge
  144. Thu Mar 10 00:45:11 2022 memory use: 1363.5 MB
  145. Thu Mar 10 00:45:11 2022 found 56066 cycles, need 6430834
  146. Thu Mar 10 00:45:11 2022 too few cycles, matrix probably cannot build
  147. Thu Mar 10 00:45:11 2022 filtering wants 1000000 more relations
  148. Thu Mar 10 00:45:11 2022 elapsed time 01:42:10
  149. Thu Mar 10 08:10:50 2022
  150. Thu Mar 10 08:10:50 2022
  151. Thu Mar 10 08:10:50 2022 Msieve v. 1.54 (SVN 1040M)
  152. Thu Mar 10 08:10:50 2022 random seeds: b41ec7f5 d2d1da6c
  153. Thu Mar 10 08:10:50 2022 factoring 36860066201888512290940086443141501667418852463621850457460187197232158243824348473033724380872791936275622703788081798388348161214255491322846973107383191607807366614269629612852353409309005651396853345000070868081990769485029162193001 (236 digits)
  154. Thu Mar 10 08:10:51 2022 searching for 15-digit factors
  155. Thu Mar 10 08:10:51 2022 commencing number field sieve (236-digit input)
  156. Thu Mar 10 08:10:51 2022 R0: 22300745198530623141535718272648361505980416
  157. Thu Mar 10 08:10:51 2022 R1: -3552713678800500929355621337890625
  158. Thu Mar 10 08:10:51 2022 A0: -5
  159. Thu Mar 10 08:10:51 2022 A1: 0
  160. Thu Mar 10 08:10:51 2022 A2: 0
  161. Thu Mar 10 08:10:51 2022 A3: 0
  162. Thu Mar 10 08:10:51 2022 A4: 0
  163. Thu Mar 10 08:10:51 2022 A5: 0
  164. Thu Mar 10 08:10:51 2022 A6: 8
  165. Thu Mar 10 08:10:51 2022 skew 0.92, size 8.750e-13, alpha 0.660, combined = 1.034e-13 rroots = 2
  166. Thu Mar 10 08:10:51 2022
  167. Thu Mar 10 08:10:51 2022 commencing relation filtering
  168. Thu Mar 10 08:10:51 2022 setting target matrix density to 124.0
  169. Thu Mar 10 08:10:51 2022 estimated available RAM is 32768.0 MB
  170. Thu Mar 10 08:10:51 2022 commencing duplicate removal, pass 1
  171. Thu Mar 10 08:24:07 2022 error -15 reading relation 137592958
  172. Thu Mar 10 08:29:02 2022 error -15 reading relation 188138568
  173. Thu Mar 10 08:30:11 2022 error -11 reading relation 200039345
  174. Thu Mar 10 08:30:41 2022 error -1 reading relation 205296871
  175. Thu Mar 10 08:31:31 2022 skipped 967 relations with b > 2^32
  176. Thu Mar 10 08:31:31 2022 skipped 1 relations with composite factors
  177. Thu Mar 10 08:31:31 2022 found 9891901 hash collisions in 212896797 relations
  178. Thu Mar 10 08:31:39 2022 commencing duplicate removal, pass 2
  179. Thu Mar 10 08:32:32 2022 found 0 duplicates and 212896797 unique relations
  180. Thu Mar 10 08:32:32 2022 memory use: 522.4 MB
  181. Thu Mar 10 08:32:32 2022 reading ideals above 179896320
  182. Thu Mar 10 08:32:32 2022 commencing singleton removal, initial pass
  183. Thu Mar 10 08:47:25 2022 memory use: 5512.0 MB
  184. Thu Mar 10 08:47:26 2022 reading all ideals from disk
  185. Thu Mar 10 08:47:28 2022 memory use: 3767.0 MB
  186. Thu Mar 10 08:47:35 2022 commencing in-memory singleton removal
  187. Thu Mar 10 08:47:43 2022 begin with 212896797 relations and 165926037 unique ideals
  188. Thu Mar 10 08:48:52 2022 reduce to 157360512 relations and 106056010 ideals in 13 passes
  189. Thu Mar 10 08:48:52 2022 max relations containing the same ideal: 43
  190. Thu Mar 10 08:49:03 2022 reading ideals above 720000
  191. Thu Mar 10 08:49:04 2022 commencing singleton removal, initial pass
  192. Thu Mar 10 09:03:41 2022 memory use: 3012.0 MB
  193. Thu Mar 10 09:03:41 2022 reading all ideals from disk
  194. Thu Mar 10 09:03:46 2022 memory use: 6512.1 MB
  195. Thu Mar 10 09:04:00 2022 keeping 125279842 ideals with weight <= 200, target excess is 825134
  196. Thu Mar 10 09:04:15 2022 commencing in-memory singleton removal
  197. Thu Mar 10 09:04:26 2022 begin with 157360512 relations and 125279842 unique ideals
  198. Thu Mar 10 09:05:27 2022 reduce to 157359668 relations and 125278998 ideals in 6 passes
  199. Thu Mar 10 09:05:27 2022 max relations containing the same ideal: 200
  200. Thu Mar 10 09:06:25 2022 removing 10107658 relations and 8107658 ideals in 2000000 cliques
  201. Thu Mar 10 09:06:29 2022 commencing in-memory singleton removal
  202. Thu Mar 10 09:06:40 2022 begin with 147252010 relations and 125278998 unique ideals
  203. Thu Mar 10 09:07:48 2022 reduce to 146719593 relations and 116630166 ideals in 7 passes
  204. Thu Mar 10 09:07:48 2022 max relations containing the same ideal: 198
  205. Thu Mar 10 09:08:42 2022 removing 7821786 relations and 5821786 ideals in 2000000 cliques
  206. Thu Mar 10 09:08:46 2022 commencing in-memory singleton removal
  207. Thu Mar 10 09:08:56 2022 begin with 138897807 relations and 116630166 unique ideals
  208. Thu Mar 10 09:10:00 2022 reduce to 138538673 relations and 110443990 ideals in 7 passes
  209. Thu Mar 10 09:10:00 2022 max relations containing the same ideal: 194
  210. Thu Mar 10 09:10:51 2022 removing 7148788 relations and 5148788 ideals in 2000000 cliques
  211. Thu Mar 10 09:10:55 2022 commencing in-memory singleton removal
  212. Thu Mar 10 09:11:04 2022 begin with 131389885 relations and 110443990 unique ideals
  213. Thu Mar 10 09:12:05 2022 reduce to 131075533 relations and 104976323 ideals in 7 passes
  214. Thu Mar 10 09:12:05 2022 max relations containing the same ideal: 187
  215. Thu Mar 10 09:12:54 2022 removing 6809354 relations and 4809354 ideals in 2000000 cliques
  216. Thu Mar 10 09:12:57 2022 commencing in-memory singleton removal
  217. Thu Mar 10 09:13:06 2022 begin with 124266179 relations and 104976323 unique ideals
  218. Thu Mar 10 09:13:55 2022 reduce to 123968733 relations and 99865220 ideals in 6 passes
  219. Thu Mar 10 09:13:55 2022 max relations containing the same ideal: 181
  220. Thu Mar 10 09:14:41 2022 removing 6602358 relations and 4602358 ideals in 2000000 cliques
  221. Thu Mar 10 09:14:45 2022 commencing in-memory singleton removal
  222. Thu Mar 10 09:14:53 2022 begin with 117366375 relations and 99865220 unique ideals
  223. Thu Mar 10 09:15:46 2022 reduce to 117078931 relations and 94971102 ideals in 7 passes
  224. Thu Mar 10 09:15:46 2022 max relations containing the same ideal: 174
  225. Thu Mar 10 09:16:31 2022 removing 6468045 relations and 4468045 ideals in 2000000 cliques
  226. Thu Mar 10 09:16:34 2022 commencing in-memory singleton removal
  227. Thu Mar 10 09:16:42 2022 begin with 110610886 relations and 94971102 unique ideals
  228. Thu Mar 10 09:17:25 2022 reduce to 110322894 relations and 90210592 ideals in 6 passes
  229. Thu Mar 10 09:17:25 2022 max relations containing the same ideal: 169
  230. Thu Mar 10 09:18:07 2022 removing 6380970 relations and 4380970 ideals in 2000000 cliques
  231. Thu Mar 10 09:18:10 2022 commencing in-memory singleton removal
  232. Thu Mar 10 09:18:18 2022 begin with 103941924 relations and 90210592 unique ideals
  233. Thu Mar 10 09:18:58 2022 reduce to 103650269 relations and 85533117 ideals in 6 passes
  234. Thu Mar 10 09:18:58 2022 max relations containing the same ideal: 161
  235. Thu Mar 10 09:19:38 2022 removing 6322109 relations and 4322109 ideals in 2000000 cliques
  236. Thu Mar 10 09:19:41 2022 commencing in-memory singleton removal
  237. Thu Mar 10 09:19:48 2022 begin with 97328160 relations and 85533117 unique ideals
  238. Thu Mar 10 09:20:31 2022 reduce to 97029600 relations and 80907192 ideals in 7 passes
  239. Thu Mar 10 09:20:31 2022 max relations containing the same ideal: 153
  240. Thu Mar 10 09:21:09 2022 removing 6291521 relations and 4291521 ideals in 2000000 cliques
  241. Thu Mar 10 09:21:12 2022 commencing in-memory singleton removal
  242. Thu Mar 10 09:21:18 2022 begin with 90738079 relations and 80907192 unique ideals
  243. Thu Mar 10 09:21:58 2022 reduce to 90427298 relations and 76299164 ideals in 7 passes
  244. Thu Mar 10 09:21:58 2022 max relations containing the same ideal: 145
  245. Thu Mar 10 09:22:34 2022 removing 6277145 relations and 4277145 ideals in 2000000 cliques
  246. Thu Mar 10 09:22:36 2022 commencing in-memory singleton removal
  247. Thu Mar 10 09:22:42 2022 begin with 84150153 relations and 76299164 unique ideals
  248. Thu Mar 10 09:23:19 2022 reduce to 83821794 relations and 71687123 ideals in 7 passes
  249. Thu Mar 10 09:23:19 2022 max relations containing the same ideal: 140
  250. Thu Mar 10 09:23:52 2022 removing 6282346 relations and 4282346 ideals in 2000000 cliques
  251. Thu Mar 10 09:23:55 2022 commencing in-memory singleton removal
  252. Thu Mar 10 09:24:00 2022 begin with 77539448 relations and 71687123 unique ideals
  253. Thu Mar 10 09:24:34 2022 reduce to 77191304 relations and 67049356 ideals in 7 passes
  254. Thu Mar 10 09:24:34 2022 max relations containing the same ideal: 133
  255. Thu Mar 10 09:25:04 2022 removing 6304247 relations and 4304247 ideals in 2000000 cliques
  256. Thu Mar 10 09:25:07 2022 commencing in-memory singleton removal
  257. Thu Mar 10 09:25:12 2022 begin with 70887057 relations and 67049356 unique ideals
  258. Thu Mar 10 09:25:42 2022 reduce to 70507295 relations and 62356803 ideals in 7 passes
  259. Thu Mar 10 09:25:42 2022 max relations containing the same ideal: 126
  260. Thu Mar 10 09:26:10 2022 removing 6343369 relations and 4343369 ideals in 2000000 cliques
  261. Thu Mar 10 09:26:13 2022 commencing in-memory singleton removal
  262. Thu Mar 10 09:26:17 2022 begin with 64163926 relations and 62356803 unique ideals
  263. Thu Mar 10 09:26:44 2022 reduce to 63745825 relations and 57585217 ideals in 7 passes
  264. Thu Mar 10 09:26:44 2022 max relations containing the same ideal: 121
  265. Thu Mar 10 09:27:10 2022 removing 6401907 relations and 4401907 ideals in 2000000 cliques
  266. Thu Mar 10 09:27:12 2022 commencing in-memory singleton removal
  267. Thu Mar 10 09:27:16 2022 begin with 57343918 relations and 57585217 unique ideals
  268. Thu Mar 10 09:27:44 2022 reduce to 56874887 relations and 52701645 ideals in 8 passes
  269. Thu Mar 10 09:27:44 2022 max relations containing the same ideal: 108
  270. Thu Mar 10 09:28:08 2022 removing 6478596 relations and 4478596 ideals in 2000000 cliques
  271. Thu Mar 10 09:28:10 2022 commencing in-memory singleton removal
  272. Thu Mar 10 09:28:13 2022 begin with 50396291 relations and 52701645 unique ideals
  273. Thu Mar 10 09:28:34 2022 reduce to 49855178 relations and 47665980 ideals in 7 passes
  274. Thu Mar 10 09:28:34 2022 max relations containing the same ideal: 98
  275. Thu Mar 10 09:28:55 2022 removing 4443788 relations and 3211746 ideals in 1232042 cliques
  276. Thu Mar 10 09:28:57 2022 commencing in-memory singleton removal
  277. Thu Mar 10 09:29:00 2022 begin with 45411390 relations and 47665980 unique ideals
  278. Thu Mar 10 09:29:19 2022 reduce to 45119941 relations and 44156624 ideals in 7 passes
  279. Thu Mar 10 09:29:19 2022 max relations containing the same ideal: 93
  280. Thu Mar 10 09:29:42 2022 relations with 0 large ideals: 31211
  281. Thu Mar 10 09:29:42 2022 relations with 1 large ideals: 7135
  282. Thu Mar 10 09:29:42 2022 relations with 2 large ideals: 105016
  283. Thu Mar 10 09:29:42 2022 relations with 3 large ideals: 767792
  284. Thu Mar 10 09:29:42 2022 relations with 4 large ideals: 3071671
  285. Thu Mar 10 09:29:42 2022 relations with 5 large ideals: 7436932
  286. Thu Mar 10 09:29:42 2022 relations with 6 large ideals: 11364396
  287. Thu Mar 10 09:29:42 2022 relations with 7+ large ideals: 22335788
  288. Thu Mar 10 09:29:42 2022 commencing 2-way merge
  289. Thu Mar 10 09:30:08 2022 reduce to 30416587 relation sets and 29453270 unique ideals
  290. Thu Mar 10 09:30:08 2022 commencing full merge
  291. Thu Mar 10 09:40:36 2022 memory use: 4054.8 MB
  292. Thu Mar 10 09:40:40 2022 found 13685437 cycles, need 13653470
  293. Thu Mar 10 09:40:41 2022 weight of 13653470 cycles is about 1693480262 (124.03/cycle)
  294. Thu Mar 10 09:40:41 2022 distribution of cycle lengths:
  295. Thu Mar 10 09:40:41 2022 1 relations: 569627
  296. Thu Mar 10 09:40:41 2022 2 relations: 822312
  297. Thu Mar 10 09:40:41 2022 3 relations: 954933
  298. Thu Mar 10 09:40:41 2022 4 relations: 984601
  299. Thu Mar 10 09:40:41 2022 5 relations: 1004215
  300. Thu Mar 10 09:40:41 2022 6 relations: 996302
  301. Thu Mar 10 09:40:41 2022 7 relations: 980480
  302. Thu Mar 10 09:40:41 2022 8 relations: 939525
  303. Thu Mar 10 09:40:41 2022 9 relations: 884964
  304. Thu Mar 10 09:40:41 2022 10+ relations: 5516511
  305. Thu Mar 10 09:40:41 2022 heaviest cycle: 28 relations
  306. Thu Mar 10 09:40:45 2022 commencing cycle optimization
  307. Thu Mar 10 09:41:06 2022 start with 122061695 relations
  308. Thu Mar 10 09:45:37 2022 pruned 6206450 relations
  309. Thu Mar 10 09:45:37 2022 memory use: 3130.9 MB
  310. Thu Mar 10 09:45:37 2022 distribution of cycle lengths:
  311. Thu Mar 10 09:45:37 2022 1 relations: 569627
  312. Thu Mar 10 09:45:37 2022 2 relations: 843804
  313. Thu Mar 10 09:45:37 2022 3 relations: 997278
  314. Thu Mar 10 09:45:37 2022 4 relations: 1028413
  315. Thu Mar 10 09:45:37 2022 5 relations: 1059113
  316. Thu Mar 10 09:45:37 2022 6 relations: 1049359
  317. Thu Mar 10 09:45:37 2022 7 relations: 1037621
  318. Thu Mar 10 09:45:37 2022 8 relations: 991145
  319. Thu Mar 10 09:45:37 2022 9 relations: 932239
  320. Thu Mar 10 09:45:37 2022 10+ relations: 5144871
  321. Thu Mar 10 09:45:37 2022 heaviest cycle: 28 relations
  322. Thu Mar 10 09:45:48 2022 RelProcTime: 5697
  323. Thu Mar 10 09:45:48 2022
  324. Thu Mar 10 09:45:48 2022 commencing linear algebra
  325. Thu Mar 10 09:45:50 2022 read 13653470 cycles
  326. Thu Mar 10 09:46:20 2022 cycles contain 44601534 unique relations
  327. Thu Mar 10 09:49:07 2022 read 44601534 relations
  328. Thu Mar 10 09:51:02 2022 using 20 quadratic characters above 4294917295
  329. Thu Mar 10 09:53:40 2022 building initial matrix
  330. Thu Mar 10 10:01:15 2022 memory use: 5881.9 MB
  331. Thu Mar 10 10:01:26 2022 read 13653470 cycles
  332. Thu Mar 10 10:01:28 2022 matrix is 13653293 x 13653470 (6565.3 MB) with weight 1893930330 (138.71/col)
  333. Thu Mar 10 10:01:28 2022 sparse part has weight 1570877189 (115.05/col)
  334. Thu Mar 10 10:03:52 2022 filtering completed in 2 passes
  335. Thu Mar 10 10:03:54 2022 matrix is 13653164 x 13653341 (6565.3 MB) with weight 1893926118 (138.72/col)
  336. Thu Mar 10 10:03:54 2022 sparse part has weight 1570876083 (115.05/col)
  337. Thu Mar 10 10:04:37 2022 matrix starts at (0, 0)
  338. Thu Mar 10 10:04:38 2022 matrix is 13653164 x 13653341 (6565.3 MB) with weight 1893926118 (138.72/col)
  339. Thu Mar 10 10:04:38 2022 sparse part has weight 1570876083 (115.05/col)
  340. Thu Mar 10 10:04:38 2022 saving the first 48 matrix rows for later
  341. Thu Mar 10 10:04:40 2022 matrix includes 64 packed rows
  342. Thu Mar 10 10:04:41 2022 matrix is 13653116 x 13653341 (6328.4 MB) with weight 1628268158 (119.26/col)
  343. Thu Mar 10 10:04:41 2022 sparse part has weight 1522414498 (111.50/col)
  344. Thu Mar 10 10:04:41 2022 using block size 8192 and superblock size 1351680 for processor cache size 14080 kB
  345. Thu Mar 10 10:05:31 2022 commencing Lanczos iteration (10 threads)
  346. Thu Mar 10 10:05:31 2022 memory use: 6077.5 MB
  347. Thu Mar 10 10:05:57 2022 linear algebra at 0.0%, ETA 62h24m
  348. Thu Mar 10 10:06:05 2022 checkpointing every 230000 dimensions
  349. Mon Mar 14 13:50:44 2022
  350. Mon Mar 14 13:50:44 2022
  351. Mon Mar 14 13:50:44 2022 Msieve v. 1.54 (SVN 1040M)
  352. Mon Mar 14 13:50:44 2022 random seeds: e22cebc7 c4c40f88
  353. Mon Mar 14 13:50:44 2022 factoring 36860066201888512290940086443141501667418852463621850457460187197232158243824348473033724380872791936275622703788081798388348161214255491322846973107383191607807366614269629612852353409309005651396853345000070868081990769485029162193001 (236 digits)
  354. Mon Mar 14 13:50:44 2022 searching for 15-digit factors
  355. Mon Mar 14 13:50:45 2022 commencing number field sieve (236-digit input)
  356. Mon Mar 14 13:50:45 2022 R0: 22300745198530623141535718272648361505980416
  357. Mon Mar 14 13:50:45 2022 R1: -3552713678800500929355621337890625
  358. Mon Mar 14 13:50:45 2022 A0: -5
  359. Mon Mar 14 13:50:45 2022 A1: 0
  360. Mon Mar 14 13:50:45 2022 A2: 0
  361. Mon Mar 14 13:50:45 2022 A3: 0
  362. Mon Mar 14 13:50:45 2022 A4: 0
  363. Mon Mar 14 13:50:45 2022 A5: 0
  364. Mon Mar 14 13:50:45 2022 A6: 8
  365. Mon Mar 14 13:50:45 2022 skew 0.92, size 8.750e-13, alpha 0.660, combined = 1.034e-13 rroots = 2
  366. Mon Mar 14 13:50:45 2022
  367. Mon Mar 14 13:50:45 2022 commencing linear algebra
  368. Mon Mar 14 13:50:50 2022 matrix starts at (0, 0)
  369. Mon Mar 14 13:50:51 2022 matrix is 13653164 x 13653341 (6565.3 MB) with weight 1893926118 (138.72/col)
  370. Mon Mar 14 13:50:51 2022 sparse part has weight 1570876083 (115.05/col)
  371. Mon Mar 14 13:50:51 2022 saving the first 48 matrix rows for later
  372. Mon Mar 14 13:50:53 2022 matrix includes 64 packed rows
  373. Mon Mar 14 13:50:54 2022 matrix is 13653116 x 13653341 (6328.4 MB) with weight 1628268158 (119.26/col)
  374. Mon Mar 14 13:50:54 2022 sparse part has weight 1522414498 (111.50/col)
  375. Mon Mar 14 13:50:54 2022 using block size 8192 and superblock size 1351680 for processor cache size 14080 kB
  376. Mon Mar 14 13:51:43 2022 commencing Lanczos iteration (10 threads)
  377. Mon Mar 14 13:51:43 2022 memory use: 6077.5 MB
  378. Mon Mar 14 13:51:44 2022 restarting at iteration 178233 (dim = 11270059)
  379. Mon Mar 14 13:52:08 2022 linear algebra at 82.6%, ETA 10h29m
  380. Mon Mar 14 13:52:14 2022 checkpointing every 240000 dimensions
  381. Mon Mar 14 15:36:30 2022 lanczos halted after 184651 iterations (dim = 11675935)
  382. Mon Mar 14 15:36:39 2022 BLanczosTime: 6354
  383. Mon Mar 14 15:36:39 2022
  384. Mon Mar 14 15:36:39 2022 commencing square root phase
  385. Mon Mar 14 15:36:39 2022 reading relations for dependency 1
  386. Mon Mar 14 15:36:39 2022 error: read_cycles can't open dependency file
  387. Mon Mar 14 16:00:35 2022
  388. Mon Mar 14 16:00:35 2022
  389. Mon Mar 14 16:00:35 2022 Msieve v. 1.54 (SVN 1040M)
  390. Mon Mar 14 16:00:35 2022 random seeds: 8cafb91e 5f5e48ce
  391. Mon Mar 14 16:00:35 2022 factoring 36860066201888512290940086443141501667418852463621850457460187197232158243824348473033724380872791936275622703788081798388348161214255491322846973107383191607807366614269629612852353409309005651396853345000070868081990769485029162193001 (236 digits)
  392. Mon Mar 14 16:00:36 2022 searching for 15-digit factors
  393. Mon Mar 14 16:00:36 2022 commencing number field sieve (236-digit input)
  394. Mon Mar 14 16:00:36 2022 R0: 22300745198530623141535718272648361505980416
  395. Mon Mar 14 16:00:36 2022 R1: -3552713678800500929355621337890625
  396. Mon Mar 14 16:00:36 2022 A0: -5
  397. Mon Mar 14 16:00:36 2022 A1: 0
  398. Mon Mar 14 16:00:36 2022 A2: 0
  399. Mon Mar 14 16:00:36 2022 A3: 0
  400. Mon Mar 14 16:00:36 2022 A4: 0
  401. Mon Mar 14 16:00:36 2022 A5: 0
  402. Mon Mar 14 16:00:36 2022 A6: 8
  403. Mon Mar 14 16:00:36 2022 skew 0.92, size 8.750e-13, alpha 0.660, combined = 1.034e-13 rroots = 2
  404. Mon Mar 14 16:00:36 2022
  405. Mon Mar 14 16:00:36 2022 commencing linear algebra
  406. Mon Mar 14 16:03:05 2022 matrix starts at (0, 0)
  407. Mon Mar 14 16:03:06 2022 matrix is 13653164 x 13653341 (6565.3 MB) with weight 1893926118 (138.72/col)
  408. Mon Mar 14 16:03:06 2022 sparse part has weight 1570876083 (115.05/col)
  409. Mon Mar 14 16:03:06 2022 saving the first 48 matrix rows for later
  410. Mon Mar 14 16:03:08 2022 matrix includes 64 packed rows
  411. Mon Mar 14 16:03:10 2022 matrix is 13653116 x 13653341 (6328.4 MB) with weight 1628268158 (119.26/col)
  412. Mon Mar 14 16:03:10 2022 sparse part has weight 1522414498 (111.50/col)
  413. Mon Mar 14 16:03:10 2022 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  414. Mon Mar 14 16:04:02 2022 commencing Lanczos iteration (16 threads)
  415. Mon Mar 14 16:04:02 2022 memory use: 6077.7 MB
  416. Mon Mar 14 16:04:15 2022 restarting at iteration 184651 (dim = 11675935)
  417. Mon Mar 14 16:04:31 2022 linear algebra at 85.5%, ETA 5h46m
  418. Mon Mar 14 16:04:37 2022 checkpointing every 350000 dimensions
  419. Mon Mar 14 21:53:44 2022 lanczos halted after 215919 iterations (dim = 13653116)
  420. Mon Mar 14 21:53:53 2022 recovered 39 nontrivial dependencies
  421. Mon Mar 14 21:54:07 2022 BLanczosTime: 21211
  422. Mon Mar 14 21:54:07 2022
  423. Mon Mar 14 21:54:07 2022 commencing square root phase
  424. Mon Mar 14 21:54:07 2022 reading relations for dependency 1
  425. Mon Mar 14 21:54:19 2022 read 6824674 cycles
  426. Mon Mar 14 21:54:33 2022 cycles contain 22290384 unique relations
  427. Mon Mar 14 22:07:35 2022 read 22290384 relations
  428. Mon Mar 14 22:09:16 2022 multiplying 22290384 relations
  429. Mon Mar 14 22:28:12 2022 multiply complete, coefficients have about 646.47 million bits
  430. Mon Mar 14 22:28:13 2022 initial square root is modulo 630823
  431. Mon Mar 14 22:47:53 2022 GCD is 1, no factor found
  432. Mon Mar 14 22:47:53 2022 reading relations for dependency 2
  433. Mon Mar 14 22:48:08 2022 read 6824861 cycles
  434. Mon Mar 14 22:48:23 2022 cycles contain 22298502 unique relations
  435. Mon Mar 14 22:59:12 2022 read 22298502 relations
  436. Mon Mar 14 23:00:54 2022 multiplying 22298502 relations
  437. Mon Mar 14 23:19:21 2022 multiply complete, coefficients have about 646.70 million bits
  438. Mon Mar 14 23:19:22 2022 initial square root is modulo 633739
  439. Mon Mar 14 23:39:42 2022 GCD is N, no factor found
  440. Mon Mar 14 23:39:42 2022 reading relations for dependency 3
  441. Mon Mar 14 23:39:56 2022 read 6828157 cycles
  442. Mon Mar 14 23:40:10 2022 cycles contain 22307970 unique relations
  443. Mon Mar 14 23:49:27 2022 read 22307970 relations
  444. Mon Mar 14 23:50:59 2022 multiplying 22307970 relations
  445. Tue Mar 15 00:07:42 2022 multiply complete, coefficients have about 646.97 million bits
  446. Tue Mar 15 00:07:44 2022 initial square root is modulo 637291
  447. Tue Mar 15 00:26:16 2022 GCD is 1, no factor found
  448. Tue Mar 15 00:26:16 2022 reading relations for dependency 4
  449. Tue Mar 15 00:26:31 2022 read 6827433 cycles
  450. Tue Mar 15 00:26:44 2022 cycles contain 22307174 unique relations
  451. Tue Mar 15 00:36:02 2022 read 22307174 relations
  452. Tue Mar 15 00:37:33 2022 multiplying 22307174 relations
  453. Tue Mar 15 00:54:13 2022 multiply complete, coefficients have about 646.95 million bits
  454. Tue Mar 15 00:54:15 2022 initial square root is modulo 636931
  455. Tue Mar 15 01:13:06 2022 found factor: 14671349769058184512947349587565899843280167256636598637366856189409866951307
  456. Tue Mar 15 01:13:06 2022 reading relations for dependency 5
  457. Tue Mar 15 01:13:20 2022 read 6828864 cycles
  458. Tue Mar 15 01:13:34 2022 cycles contain 22306076 unique relations
  459. Tue Mar 15 01:22:51 2022 read 22306076 relations
  460. Tue Mar 15 01:24:22 2022 multiplying 22306076 relations
  461. Tue Mar 15 01:41:37 2022 multiply complete, coefficients have about 646.91 million bits
  462. Tue Mar 15 01:41:39 2022 initial square root is modulo 636541
  463. Tue Mar 15 02:02:08 2022 GCD is 1, no factor found
  464. Tue Mar 15 02:02:08 2022 reading relations for dependency 6
  465. Tue Mar 15 02:02:22 2022 read 6826906 cycles
  466. Tue Mar 15 02:02:36 2022 cycles contain 22302528 unique relations
  467. Tue Mar 15 02:11:53 2022 read 22302528 relations
  468. Tue Mar 15 02:13:24 2022 multiplying 22302528 relations
  469. Tue Mar 15 02:31:38 2022 multiply complete, coefficients have about 646.81 million bits
  470. Tue Mar 15 02:31:39 2022 initial square root is modulo 635149
  471. Tue Mar 15 02:52:09 2022 found factor: 14671349769058184512947349587565899843280167256636598637366856189409866951307
  472. Tue Mar 15 02:52:09 2022 reading relations for dependency 7
  473. Tue Mar 15 02:52:23 2022 read 6826695 cycles
  474. Tue Mar 15 02:52:37 2022 cycles contain 22305588 unique relations
  475. Tue Mar 15 03:01:55 2022 read 22305588 relations
  476. Tue Mar 15 03:03:25 2022 multiplying 22305588 relations
  477. Tue Mar 15 03:21:11 2022 multiply complete, coefficients have about 646.90 million bits
  478. Tue Mar 15 03:21:12 2022 initial square root is modulo 636331
  479. Tue Mar 15 03:41:51 2022 sqrtTime: 20864
  480. Tue Mar 15 03:41:51 2022 p77 factor: 14671349769058184512947349587565899843280167256636598637366856189409866951307
  481. Tue Mar 15 03:41:51 2022 p80 factor: 42478531839212333780160951486896404364576351716782115494742107305937139284152147
  482. Tue Mar 15 03:41:51 2022 p80 factor: 59144796507728888985410076013927034247564970319615154532014980019224149007626969
  483. Tue Mar 15 03:41:51 2022 elapsed time 11:41:16
  484.  
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