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4p3_433

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Jul 29th, 2021
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  1. Mon Jul 26 11:11:36 2021
  2. Mon Jul 26 11:11:36 2021
  3. Mon Jul 26 11:11:36 2021 Msieve v. 1.54 (SVN 1040M)
  4. Mon Jul 26 11:11:36 2021 random seeds: 70885ba5 fa576872
  5. Mon Jul 26 11:11:36 2021 factoring 4765775834077146855286165634400664077476139489303322175717777204518521303505443606443556540446984425075935701032383504253222877548974611717726704119942413985886960588207295497547655101779246820030967293032579963801592861126949652825095846331 (241 digits)
  6. Mon Jul 26 11:11:37 2021 searching for 15-digit factors
  7. Mon Jul 26 11:11:37 2021 commencing number field sieve (241-digit input)
  8. Mon Jul 26 11:11:37 2021 R0: 22300745198530623141535718272648361505980416
  9. Mon Jul 26 11:11:37 2021 R1: -22528399544939174411840147874772641
  10. Mon Jul 26 11:11:37 2021 A0: 3
  11. Mon Jul 26 11:11:37 2021 A1: 0
  12. Mon Jul 26 11:11:37 2021 A2: 0
  13. Mon Jul 26 11:11:37 2021 A3: 0
  14. Mon Jul 26 11:11:37 2021 A4: 0
  15. Mon Jul 26 11:11:37 2021 A5: 0
  16. Mon Jul 26 11:11:37 2021 A6: 4
  17. Mon Jul 26 11:11:37 2021 skew 0.95, size 7.943e-13, alpha 1.261, combined = 9.746e-14 rroots = 0
  18. Mon Jul 26 11:11:37 2021
  19. Mon Jul 26 11:11:37 2021 commencing relation filtering
  20. Mon Jul 26 11:11:37 2021 setting target matrix density to 130.0
  21. Mon Jul 26 11:11:37 2021 estimated available RAM is 16384.0 MB
  22. Mon Jul 26 11:11:37 2021 commencing duplicate removal, pass 1
  23. Mon Jul 26 11:13:19 2021 error -15 reading relation 26319246
  24. Mon Jul 26 11:19:14 2021 error -6 reading relation 117280322
  25. Mon Jul 26 11:21:31 2021 error -5 reading relation 152011671
  26. Mon Jul 26 11:22:05 2021 error -15 reading relation 160822001
  27. Mon Jul 26 11:23:52 2021 error -15 reading relation 187898944
  28. Mon Jul 26 11:24:04 2021 error -15 reading relation 190890088
  29. Mon Jul 26 11:24:50 2021 error -15 reading relation 202300924
  30. Mon Jul 26 11:25:02 2021 skipped 917 relations with b > 2^32
  31. Mon Jul 26 11:25:02 2021 found 9245749 hash collisions in 205559707 relations
  32. Mon Jul 26 11:25:06 2021 added 2438315 free relations
  33. Mon Jul 26 11:25:06 2021 commencing duplicate removal, pass 2
  34. Mon Jul 26 11:25:48 2021 found 0 duplicates and 207998022 unique relations
  35. Mon Jul 26 11:25:48 2021 memory use: 522.4 MB
  36. Mon Jul 26 11:25:48 2021 reading ideals above 175964160
  37. Mon Jul 26 11:25:48 2021 commencing singleton removal, initial pass
  38. Mon Jul 26 11:35:56 2021 memory use: 5512.0 MB
  39. Mon Jul 26 11:35:56 2021 reading all ideals from disk
  40. Mon Jul 26 11:35:56 2021 memory use: 3728.7 MB
  41. Mon Jul 26 11:36:00 2021 commencing in-memory singleton removal
  42. Mon Jul 26 11:36:03 2021 begin with 207998022 relations and 163964444 unique ideals
  43. Mon Jul 26 11:36:42 2021 reduce to 148909095 relations and 99874436 ideals in 14 passes
  44. Mon Jul 26 11:36:42 2021 max relations containing the same ideal: 44
  45. Mon Jul 26 11:36:47 2021 reading ideals above 720000
  46. Mon Jul 26 11:36:47 2021 commencing singleton removal, initial pass
  47. Mon Jul 26 11:46:18 2021 memory use: 3012.0 MB
  48. Mon Jul 26 11:46:18 2021 reading all ideals from disk
  49. Mon Jul 26 11:46:19 2021 memory use: 6166.8 MB
  50. Mon Jul 26 11:46:26 2021 keeping 118714769 ideals with weight <= 200, target excess is 792402
  51. Mon Jul 26 11:46:34 2021 commencing in-memory singleton removal
  52. Mon Jul 26 11:46:39 2021 begin with 148909095 relations and 118714769 unique ideals
  53. Mon Jul 26 11:46:59 2021 reduce to 148908346 relations and 118714020 ideals in 4 passes
  54. Mon Jul 26 11:46:59 2021 max relations containing the same ideal: 200
  55. Mon Jul 26 11:47:28 2021 removing 10332071 relations and 8332071 ideals in 2000000 cliques
  56. Mon Jul 26 11:47:32 2021 commencing in-memory singleton removal
  57. Mon Jul 26 11:47:37 2021 begin with 138576275 relations and 118714020 unique ideals
  58. Mon Jul 26 11:48:09 2021 reduce to 138003728 relations and 109799437 ideals in 7 passes
  59. Mon Jul 26 11:48:09 2021 max relations containing the same ideal: 198
  60. Mon Jul 26 11:48:36 2021 removing 7955281 relations and 5955281 ideals in 2000000 cliques
  61. Mon Jul 26 11:48:39 2021 commencing in-memory singleton removal
  62. Mon Jul 26 11:48:43 2021 begin with 130048447 relations and 109799437 unique ideals
  63. Mon Jul 26 11:49:13 2021 reduce to 129665774 relations and 103455607 ideals in 7 passes
  64. Mon Jul 26 11:49:13 2021 max relations containing the same ideal: 193
  65. Mon Jul 26 11:49:39 2021 removing 7250240 relations and 5250240 ideals in 2000000 cliques
  66. Mon Jul 26 11:49:42 2021 commencing in-memory singleton removal
  67. Mon Jul 26 11:49:46 2021 begin with 122415534 relations and 103455607 unique ideals
  68. Mon Jul 26 11:50:15 2021 reduce to 122078933 relations and 97863637 ideals in 7 passes
  69. Mon Jul 26 11:50:15 2021 max relations containing the same ideal: 186
  70. Mon Jul 26 11:50:39 2021 removing 6892249 relations and 4892249 ideals in 2000000 cliques
  71. Mon Jul 26 11:50:42 2021 commencing in-memory singleton removal
  72. Mon Jul 26 11:50:46 2021 begin with 115186684 relations and 97863637 unique ideals
  73. Mon Jul 26 11:51:12 2021 reduce to 114872274 relations and 92652121 ideals in 7 passes
  74. Mon Jul 26 11:51:12 2021 max relations containing the same ideal: 180
  75. Mon Jul 26 11:51:35 2021 removing 6673700 relations and 4673700 ideals in 2000000 cliques
  76. Mon Jul 26 11:51:38 2021 commencing in-memory singleton removal
  77. Mon Jul 26 11:51:41 2021 begin with 108198574 relations and 92652121 unique ideals
  78. Mon Jul 26 11:52:03 2021 reduce to 107893336 relations and 87668199 ideals in 6 passes
  79. Mon Jul 26 11:52:03 2021 max relations containing the same ideal: 173
  80. Mon Jul 26 11:52:25 2021 removing 6520733 relations and 4520733 ideals in 2000000 cliques
  81. Mon Jul 26 11:52:27 2021 commencing in-memory singleton removal
  82. Mon Jul 26 11:52:31 2021 begin with 101372603 relations and 87668199 unique ideals
  83. Mon Jul 26 11:52:54 2021 reduce to 101068953 relations and 82838866 ideals in 7 passes
  84. Mon Jul 26 11:52:54 2021 max relations containing the same ideal: 164
  85. Mon Jul 26 11:53:15 2021 removing 6418435 relations and 4418435 ideals in 2000000 cliques
  86. Mon Jul 26 11:53:17 2021 commencing in-memory singleton removal
  87. Mon Jul 26 11:53:20 2021 begin with 94650518 relations and 82838866 unique ideals
  88. Mon Jul 26 11:53:39 2021 reduce to 94344081 relations and 78108609 ideals in 6 passes
  89. Mon Jul 26 11:53:39 2021 max relations containing the same ideal: 157
  90. Mon Jul 26 11:53:59 2021 removing 6350783 relations and 4350783 ideals in 2000000 cliques
  91. Mon Jul 26 11:54:01 2021 commencing in-memory singleton removal
  92. Mon Jul 26 11:54:04 2021 begin with 87993298 relations and 78108609 unique ideals
  93. Mon Jul 26 11:54:24 2021 reduce to 87678192 relations and 73436721 ideals in 7 passes
  94. Mon Jul 26 11:54:24 2021 max relations containing the same ideal: 149
  95. Mon Jul 26 11:54:42 2021 removing 6299578 relations and 4299578 ideals in 2000000 cliques
  96. Mon Jul 26 11:54:45 2021 commencing in-memory singleton removal
  97. Mon Jul 26 11:54:47 2021 begin with 81378614 relations and 73436721 unique ideals
  98. Mon Jul 26 11:55:06 2021 reduce to 81051053 relations and 68803207 ideals in 7 passes
  99. Mon Jul 26 11:55:06 2021 max relations containing the same ideal: 143
  100. Mon Jul 26 11:55:23 2021 removing 6273942 relations and 4273942 ideals in 2000000 cliques
  101. Mon Jul 26 11:55:25 2021 commencing in-memory singleton removal
  102. Mon Jul 26 11:55:27 2021 begin with 74777111 relations and 68803207 unique ideals
  103. Mon Jul 26 11:55:44 2021 reduce to 74433614 relations and 64178368 ideals in 7 passes
  104. Mon Jul 26 11:55:44 2021 max relations containing the same ideal: 135
  105. Mon Jul 26 11:56:00 2021 removing 6257839 relations and 4257839 ideals in 2000000 cliques
  106. Mon Jul 26 11:56:02 2021 commencing in-memory singleton removal
  107. Mon Jul 26 11:56:04 2021 begin with 68175775 relations and 64178368 unique ideals
  108. Mon Jul 26 11:56:18 2021 reduce to 67808556 relations and 59544937 ideals in 6 passes
  109. Mon Jul 26 11:56:18 2021 max relations containing the same ideal: 127
  110. Mon Jul 26 11:56:32 2021 removing 6263184 relations and 4263184 ideals in 2000000 cliques
  111. Mon Jul 26 11:56:34 2021 commencing in-memory singleton removal
  112. Mon Jul 26 11:56:36 2021 begin with 61545372 relations and 59544937 unique ideals
  113. Mon Jul 26 11:56:50 2021 reduce to 61146681 relations and 54872711 ideals in 7 passes
  114. Mon Jul 26 11:56:50 2021 max relations containing the same ideal: 120
  115. Mon Jul 26 11:57:04 2021 removing 6274050 relations and 4274050 ideals in 2000000 cliques
  116. Mon Jul 26 11:57:05 2021 commencing in-memory singleton removal
  117. Mon Jul 26 11:57:07 2021 begin with 54872631 relations and 54872711 unique ideals
  118. Mon Jul 26 11:57:19 2021 reduce to 54434004 relations and 50147721 ideals in 7 passes
  119. Mon Jul 26 11:57:19 2021 max relations containing the same ideal: 112
  120. Mon Jul 26 11:57:32 2021 removing 6303484 relations and 4303484 ideals in 2000000 cliques
  121. Mon Jul 26 11:57:33 2021 commencing in-memory singleton removal
  122. Mon Jul 26 11:57:35 2021 begin with 48130520 relations and 50147721 unique ideals
  123. Mon Jul 26 11:57:47 2021 reduce to 47630752 relations and 45328864 ideals in 8 passes
  124. Mon Jul 26 11:57:47 2021 max relations containing the same ideal: 100
  125. Mon Jul 26 11:57:58 2021 removing 4686793 relations and 3304092 ideals in 1382701 cliques
  126. Mon Jul 26 11:57:59 2021 commencing in-memory singleton removal
  127. Mon Jul 26 11:58:01 2021 begin with 42943959 relations and 45328864 unique ideals
  128. Mon Jul 26 11:58:10 2021 reduce to 42617382 relations and 41689898 ideals in 7 passes
  129. Mon Jul 26 11:58:10 2021 max relations containing the same ideal: 92
  130. Mon Jul 26 11:58:20 2021 removing 56675 relations and 48378 ideals in 8297 cliques
  131. Mon Jul 26 11:58:21 2021 commencing in-memory singleton removal
  132. Mon Jul 26 11:58:22 2021 begin with 42560707 relations and 41689898 unique ideals
  133. Mon Jul 26 11:58:26 2021 reduce to 42560666 relations and 41641479 ideals in 3 passes
  134. Mon Jul 26 11:58:26 2021 max relations containing the same ideal: 92
  135. Mon Jul 26 11:58:30 2021 relations with 0 large ideals: 59710
  136. Mon Jul 26 11:58:30 2021 relations with 1 large ideals: 11370
  137. Mon Jul 26 11:58:30 2021 relations with 2 large ideals: 96602
  138. Mon Jul 26 11:58:30 2021 relations with 3 large ideals: 697036
  139. Mon Jul 26 11:58:30 2021 relations with 4 large ideals: 2802466
  140. Mon Jul 26 11:58:30 2021 relations with 5 large ideals: 6795065
  141. Mon Jul 26 11:58:30 2021 relations with 6 large ideals: 10446106
  142. Mon Jul 26 11:58:30 2021 relations with 7+ large ideals: 21652311
  143. Mon Jul 26 11:58:30 2021 commencing 2-way merge
  144. Mon Jul 26 11:58:46 2021 reduce to 29139804 relation sets and 28220617 unique ideals
  145. Mon Jul 26 11:58:46 2021 commencing full merge
  146. Mon Jul 26 12:14:42 2021 memory use: 1306.5 MB
  147. Mon Jul 26 12:14:42 2021 found 96642 cycles, need 6141102
  148. Mon Jul 26 12:14:42 2021 too few cycles, matrix probably cannot build
  149. Mon Jul 26 12:14:42 2021 filtering wants 1000000 more relations
  150. Mon Jul 26 12:14:42 2021 elapsed time 01:03:06
  151. Mon Jul 26 12:16:41 2021
  152. Mon Jul 26 12:16:41 2021
  153. Mon Jul 26 12:16:41 2021 Msieve v. 1.54 (SVN 1040M)
  154. Mon Jul 26 12:16:41 2021 random seeds: 9c540bf3 91f8d8b8
  155. Mon Jul 26 12:16:41 2021 factoring 4765775834077146855286165634400664077476139489303322175717777204518521303505443606443556540446984425075935701032383504253222877548974611717726704119942413985886960588207295497547655101779246820030967293032579963801592861126949652825095846331 (241 digits)
  156. Mon Jul 26 12:16:42 2021 searching for 15-digit factors
  157. Mon Jul 26 12:16:42 2021 commencing number field sieve (241-digit input)
  158. Mon Jul 26 12:16:42 2021 R0: 22300745198530623141535718272648361505980416
  159. Mon Jul 26 12:16:42 2021 R1: -22528399544939174411840147874772641
  160. Mon Jul 26 12:16:42 2021 A0: 3
  161. Mon Jul 26 12:16:42 2021 A1: 0
  162. Mon Jul 26 12:16:42 2021 A2: 0
  163. Mon Jul 26 12:16:42 2021 A3: 0
  164. Mon Jul 26 12:16:42 2021 A4: 0
  165. Mon Jul 26 12:16:42 2021 A5: 0
  166. Mon Jul 26 12:16:42 2021 A6: 4
  167. Mon Jul 26 12:16:42 2021 skew 0.95, size 7.943e-13, alpha 1.261, combined = 9.746e-14 rroots = 0
  168. Mon Jul 26 12:16:42 2021
  169. Mon Jul 26 12:16:42 2021 commencing relation filtering
  170. Mon Jul 26 12:16:42 2021 setting target matrix density to 124.0
  171. Mon Jul 26 12:16:42 2021 estimated available RAM is 16384.0 MB
  172. Mon Jul 26 12:16:42 2021 commencing duplicate removal, pass 1
  173. Mon Jul 26 12:18:24 2021 error -15 reading relation 26319246
  174. Mon Jul 26 12:24:17 2021 error -6 reading relation 117280322
  175. Mon Jul 26 12:26:32 2021 error -5 reading relation 152011671
  176. Mon Jul 26 12:27:07 2021 error -15 reading relation 160822001
  177. Mon Jul 26 12:28:54 2021 error -15 reading relation 187898944
  178. Mon Jul 26 12:29:06 2021 error -15 reading relation 190890088
  179. Mon Jul 26 12:29:51 2021 error -15 reading relation 202300924
  180. Mon Jul 26 12:30:27 2021 skipped 917 relations with b > 2^32
  181. Mon Jul 26 12:30:27 2021 found 9457638 hash collisions in 207998022 relations
  182. Mon Jul 26 12:30:27 2021 commencing duplicate removal, pass 2
  183. Mon Jul 26 12:31:09 2021 found 0 duplicates and 207998022 unique relations
  184. Mon Jul 26 12:31:09 2021 memory use: 522.4 MB
  185. Mon Jul 26 12:31:09 2021 reading ideals above 175964160
  186. Mon Jul 26 12:31:09 2021 commencing singleton removal, initial pass
  187. Mon Jul 26 12:41:15 2021 memory use: 5512.0 MB
  188. Mon Jul 26 12:41:15 2021 reading all ideals from disk
  189. Mon Jul 26 12:41:16 2021 memory use: 3728.7 MB
  190. Mon Jul 26 12:41:19 2021 commencing in-memory singleton removal
  191. Mon Jul 26 12:41:22 2021 begin with 207998022 relations and 163964444 unique ideals
  192. Mon Jul 26 12:42:01 2021 reduce to 148909095 relations and 99874436 ideals in 14 passes
  193. Mon Jul 26 12:42:01 2021 max relations containing the same ideal: 44
  194. Mon Jul 26 12:42:06 2021 reading ideals above 720000
  195. Mon Jul 26 12:42:06 2021 commencing singleton removal, initial pass
  196. Mon Jul 26 12:51:37 2021 memory use: 3012.0 MB
  197. Mon Jul 26 12:51:37 2021 reading all ideals from disk
  198. Mon Jul 26 12:51:38 2021 memory use: 6166.8 MB
  199. Mon Jul 26 12:51:45 2021 keeping 118714769 ideals with weight <= 200, target excess is 792402
  200. Mon Jul 26 12:51:52 2021 commencing in-memory singleton removal
  201. Mon Jul 26 12:51:57 2021 begin with 148909095 relations and 118714769 unique ideals
  202. Mon Jul 26 12:52:17 2021 reduce to 148908346 relations and 118714020 ideals in 4 passes
  203. Mon Jul 26 12:52:17 2021 max relations containing the same ideal: 200
  204. Mon Jul 26 12:52:47 2021 removing 10332071 relations and 8332071 ideals in 2000000 cliques
  205. Mon Jul 26 12:52:50 2021 commencing in-memory singleton removal
  206. Mon Jul 26 12:52:55 2021 begin with 138576275 relations and 118714020 unique ideals
  207. Mon Jul 26 12:53:27 2021 reduce to 138003728 relations and 109799437 ideals in 7 passes
  208. Mon Jul 26 12:53:27 2021 max relations containing the same ideal: 198
  209. Mon Jul 26 12:53:54 2021 removing 7955281 relations and 5955281 ideals in 2000000 cliques
  210. Mon Jul 26 12:53:57 2021 commencing in-memory singleton removal
  211. Mon Jul 26 12:54:01 2021 begin with 130048447 relations and 109799437 unique ideals
  212. Mon Jul 26 12:54:31 2021 reduce to 129665774 relations and 103455607 ideals in 7 passes
  213. Mon Jul 26 12:54:31 2021 max relations containing the same ideal: 193
  214. Mon Jul 26 12:54:57 2021 removing 7250240 relations and 5250240 ideals in 2000000 cliques
  215. Mon Jul 26 12:55:00 2021 commencing in-memory singleton removal
  216. Mon Jul 26 12:55:04 2021 begin with 122415534 relations and 103455607 unique ideals
  217. Mon Jul 26 12:55:32 2021 reduce to 122078933 relations and 97863637 ideals in 7 passes
  218. Mon Jul 26 12:55:32 2021 max relations containing the same ideal: 186
  219. Mon Jul 26 12:55:56 2021 removing 6892249 relations and 4892249 ideals in 2000000 cliques
  220. Mon Jul 26 12:55:59 2021 commencing in-memory singleton removal
  221. Mon Jul 26 12:56:03 2021 begin with 115186684 relations and 97863637 unique ideals
  222. Mon Jul 26 12:56:29 2021 reduce to 114872274 relations and 92652121 ideals in 7 passes
  223. Mon Jul 26 12:56:29 2021 max relations containing the same ideal: 180
  224. Mon Jul 26 12:56:52 2021 removing 6673700 relations and 4673700 ideals in 2000000 cliques
  225. Mon Jul 26 12:56:55 2021 commencing in-memory singleton removal
  226. Mon Jul 26 12:56:58 2021 begin with 108198574 relations and 92652121 unique ideals
  227. Mon Jul 26 12:57:20 2021 reduce to 107893336 relations and 87668199 ideals in 6 passes
  228. Mon Jul 26 12:57:20 2021 max relations containing the same ideal: 173
  229. Mon Jul 26 12:57:42 2021 removing 6520733 relations and 4520733 ideals in 2000000 cliques
  230. Mon Jul 26 12:57:44 2021 commencing in-memory singleton removal
  231. Mon Jul 26 12:57:47 2021 begin with 101372603 relations and 87668199 unique ideals
  232. Mon Jul 26 12:58:10 2021 reduce to 101068953 relations and 82838866 ideals in 7 passes
  233. Mon Jul 26 12:58:10 2021 max relations containing the same ideal: 164
  234. Mon Jul 26 12:58:31 2021 removing 6418435 relations and 4418435 ideals in 2000000 cliques
  235. Mon Jul 26 12:58:34 2021 commencing in-memory singleton removal
  236. Mon Jul 26 12:58:37 2021 begin with 94650518 relations and 82838866 unique ideals
  237. Mon Jul 26 12:58:55 2021 reduce to 94344081 relations and 78108609 ideals in 6 passes
  238. Mon Jul 26 12:58:55 2021 max relations containing the same ideal: 157
  239. Mon Jul 26 12:59:15 2021 removing 6350783 relations and 4350783 ideals in 2000000 cliques
  240. Mon Jul 26 12:59:17 2021 commencing in-memory singleton removal
  241. Mon Jul 26 12:59:20 2021 begin with 87993298 relations and 78108609 unique ideals
  242. Mon Jul 26 12:59:40 2021 reduce to 87678192 relations and 73436721 ideals in 7 passes
  243. Mon Jul 26 12:59:40 2021 max relations containing the same ideal: 149
  244. Mon Jul 26 12:59:58 2021 removing 6299578 relations and 4299578 ideals in 2000000 cliques
  245. Mon Jul 26 13:00:01 2021 commencing in-memory singleton removal
  246. Mon Jul 26 13:00:03 2021 begin with 81378614 relations and 73436721 unique ideals
  247. Mon Jul 26 13:00:22 2021 reduce to 81051053 relations and 68803207 ideals in 7 passes
  248. Mon Jul 26 13:00:22 2021 max relations containing the same ideal: 143
  249. Mon Jul 26 13:00:39 2021 removing 6273942 relations and 4273942 ideals in 2000000 cliques
  250. Mon Jul 26 13:00:41 2021 commencing in-memory singleton removal
  251. Mon Jul 26 13:00:43 2021 begin with 74777111 relations and 68803207 unique ideals
  252. Mon Jul 26 13:01:00 2021 reduce to 74433614 relations and 64178368 ideals in 7 passes
  253. Mon Jul 26 13:01:00 2021 max relations containing the same ideal: 135
  254. Mon Jul 26 13:01:16 2021 removing 6257839 relations and 4257839 ideals in 2000000 cliques
  255. Mon Jul 26 13:01:18 2021 commencing in-memory singleton removal
  256. Mon Jul 26 13:01:20 2021 begin with 68175775 relations and 64178368 unique ideals
  257. Mon Jul 26 13:01:33 2021 reduce to 67808556 relations and 59544937 ideals in 6 passes
  258. Mon Jul 26 13:01:33 2021 max relations containing the same ideal: 127
  259. Mon Jul 26 13:01:48 2021 removing 6263184 relations and 4263184 ideals in 2000000 cliques
  260. Mon Jul 26 13:01:50 2021 commencing in-memory singleton removal
  261. Mon Jul 26 13:01:52 2021 begin with 61545372 relations and 59544937 unique ideals
  262. Mon Jul 26 13:02:06 2021 reduce to 61146681 relations and 54872711 ideals in 7 passes
  263. Mon Jul 26 13:02:06 2021 max relations containing the same ideal: 120
  264. Mon Jul 26 13:02:19 2021 removing 6274050 relations and 4274050 ideals in 2000000 cliques
  265. Mon Jul 26 13:02:21 2021 commencing in-memory singleton removal
  266. Mon Jul 26 13:02:23 2021 begin with 54872631 relations and 54872711 unique ideals
  267. Mon Jul 26 13:02:35 2021 reduce to 54434004 relations and 50147721 ideals in 7 passes
  268. Mon Jul 26 13:02:35 2021 max relations containing the same ideal: 112
  269. Mon Jul 26 13:02:47 2021 removing 6303484 relations and 4303484 ideals in 2000000 cliques
  270. Mon Jul 26 13:02:49 2021 commencing in-memory singleton removal
  271. Mon Jul 26 13:02:50 2021 begin with 48130520 relations and 50147721 unique ideals
  272. Mon Jul 26 13:03:02 2021 reduce to 47630752 relations and 45328864 ideals in 8 passes
  273. Mon Jul 26 13:03:02 2021 max relations containing the same ideal: 100
  274. Mon Jul 26 13:03:13 2021 removing 4686793 relations and 3304092 ideals in 1382701 cliques
  275. Mon Jul 26 13:03:15 2021 commencing in-memory singleton removal
  276. Mon Jul 26 13:03:16 2021 begin with 42943959 relations and 45328864 unique ideals
  277. Mon Jul 26 13:03:25 2021 reduce to 42617382 relations and 41689898 ideals in 7 passes
  278. Mon Jul 26 13:03:25 2021 max relations containing the same ideal: 92
  279. Mon Jul 26 13:03:35 2021 removing 56675 relations and 48378 ideals in 8297 cliques
  280. Mon Jul 26 13:03:36 2021 commencing in-memory singleton removal
  281. Mon Jul 26 13:03:37 2021 begin with 42560707 relations and 41689898 unique ideals
  282. Mon Jul 26 13:03:41 2021 reduce to 42560666 relations and 41641479 ideals in 3 passes
  283. Mon Jul 26 13:03:41 2021 max relations containing the same ideal: 92
  284. Mon Jul 26 13:03:45 2021 relations with 0 large ideals: 59710
  285. Mon Jul 26 13:03:45 2021 relations with 1 large ideals: 11370
  286. Mon Jul 26 13:03:45 2021 relations with 2 large ideals: 96602
  287. Mon Jul 26 13:03:45 2021 relations with 3 large ideals: 697036
  288. Mon Jul 26 13:03:45 2021 relations with 4 large ideals: 2802466
  289. Mon Jul 26 13:03:45 2021 relations with 5 large ideals: 6795065
  290. Mon Jul 26 13:03:45 2021 relations with 6 large ideals: 10446106
  291. Mon Jul 26 13:03:45 2021 relations with 7+ large ideals: 21652311
  292. Mon Jul 26 13:03:45 2021 commencing 2-way merge
  293. Mon Jul 26 13:04:00 2021 reduce to 29139804 relation sets and 28220617 unique ideals
  294. Mon Jul 26 13:04:00 2021 commencing full merge
  295. Mon Jul 26 13:12:30 2021 memory use: 4036.9 MB
  296. Mon Jul 26 13:12:35 2021 found 13167005 cycles, need 13160817
  297. Mon Jul 26 13:12:36 2021 weight of 13160817 cycles is about 1631969949 (124.00/cycle)
  298. Mon Jul 26 13:12:36 2021 distribution of cycle lengths:
  299. Mon Jul 26 13:12:36 2021 1 relations: 503936
  300. Mon Jul 26 13:12:36 2021 2 relations: 726834
  301. Mon Jul 26 13:12:36 2021 3 relations: 881162
  302. Mon Jul 26 13:12:36 2021 4 relations: 930808
  303. Mon Jul 26 13:12:36 2021 5 relations: 958532
  304. Mon Jul 26 13:12:36 2021 6 relations: 957278
  305. Mon Jul 26 13:12:36 2021 7 relations: 946650
  306. Mon Jul 26 13:12:36 2021 8 relations: 906599
  307. Mon Jul 26 13:12:36 2021 9 relations: 856842
  308. Mon Jul 26 13:12:36 2021 10+ relations: 5492176
  309. Mon Jul 26 13:12:36 2021 heaviest cycle: 28 relations
  310. Mon Jul 26 13:12:39 2021 commencing cycle optimization
  311. Mon Jul 26 13:12:58 2021 start with 120708719 relations
  312. Mon Jul 26 13:16:22 2021 pruned 6223193 relations
  313. Mon Jul 26 13:16:22 2021 memory use: 3020.7 MB
  314. Mon Jul 26 13:16:22 2021 distribution of cycle lengths:
  315. Mon Jul 26 13:16:22 2021 1 relations: 503936
  316. Mon Jul 26 13:16:22 2021 2 relations: 743971
  317. Mon Jul 26 13:16:22 2021 3 relations: 918488
  318. Mon Jul 26 13:16:22 2021 4 relations: 972074
  319. Mon Jul 26 13:16:22 2021 5 relations: 1011141
  320. Mon Jul 26 13:16:22 2021 6 relations: 1010188
  321. Mon Jul 26 13:16:22 2021 7 relations: 1002663
  322. Mon Jul 26 13:16:22 2021 8 relations: 958560
  323. Mon Jul 26 13:16:22 2021 9 relations: 904250
  324. Mon Jul 26 13:16:22 2021 10+ relations: 5135546
  325. Mon Jul 26 13:16:22 2021 heaviest cycle: 28 relations
  326. Mon Jul 26 13:16:41 2021 RelProcTime: 3599
  327. Mon Jul 26 13:16:41 2021
  328. Mon Jul 26 13:16:41 2021 commencing linear algebra
  329. Mon Jul 26 13:16:42 2021 read 13160817 cycles
  330. Mon Jul 26 13:16:55 2021 cycles contain 42120879 unique relations
  331. Mon Jul 26 13:18:46 2021 read 42120879 relations
  332. Mon Jul 26 13:19:58 2021 using 20 quadratic characters above 4294917295
  333. Mon Jul 26 13:21:35 2021 building initial matrix
  334. Mon Jul 26 13:27:15 2021 memory use: 5440.3 MB
  335. Mon Jul 26 13:27:22 2021 read 13160817 cycles
  336. Mon Jul 26 13:27:23 2021 matrix is 13160640 x 13160817 (6291.7 MB) with weight 1797322875 (136.57/col)
  337. Mon Jul 26 13:27:23 2021 sparse part has weight 1517725025 (115.32/col)
  338. Mon Jul 26 13:28:48 2021 filtering completed in 2 passes
  339. Mon Jul 26 13:28:50 2021 matrix is 13160583 x 13160760 (6291.7 MB) with weight 1797321203 (136.57/col)
  340. Mon Jul 26 13:28:50 2021 sparse part has weight 1517724675 (115.32/col)
  341. Mon Jul 26 13:29:17 2021 matrix starts at (0, 0)
  342. Mon Jul 26 13:29:18 2021 matrix is 13160583 x 13160760 (6291.7 MB) with weight 1797321203 (136.57/col)
  343. Mon Jul 26 13:29:18 2021 sparse part has weight 1517724675 (115.32/col)
  344. Mon Jul 26 13:29:18 2021 saving the first 48 matrix rows for later
  345. Mon Jul 26 13:29:19 2021 matrix includes 64 packed rows
  346. Mon Jul 26 13:29:20 2021 matrix is 13160535 x 13160760 (6075.9 MB) with weight 1550514600 (117.81/col)
  347. Mon Jul 26 13:29:20 2021 sparse part has weight 1461142698 (111.02/col)
  348. Mon Jul 26 13:29:20 2021 using block size 8192 and superblock size 49152 for processor cache size 512 kB
  349. Mon Jul 26 13:29:54 2021 commencing Lanczos iteration (8 threads)
  350. Mon Jul 26 13:29:54 2021 memory use: 5850.2 MB
  351. Mon Jul 26 13:30:21 2021 linear algebra at 0.0%, ETA 62h46m
  352. Mon Jul 26 13:30:30 2021 checkpointing every 210000 dimensions
  353. Tue Jul 27 16:30:32 2021
  354. Tue Jul 27 16:30:32 2021
  355. Tue Jul 27 16:30:32 2021 Msieve v. 1.54 (SVN 1040M)
  356. Tue Jul 27 16:30:32 2021 random seeds: 754b3aeb 5016bae9
  357. Tue Jul 27 16:30:32 2021 factoring 4765775834077146855286165634400664077476139489303322175717777204518521303505443606443556540446984425075935701032383504253222877548974611717726704119942413985886960588207295497547655101779246820030967293032579963801592861126949652825095846331 (241 digits)
  358. Tue Jul 27 16:30:33 2021 searching for 15-digit factors
  359. Tue Jul 27 16:30:34 2021 commencing number field sieve (241-digit input)
  360. Tue Jul 27 16:30:34 2021 R0: 22300745198530623141535718272648361505980416
  361. Tue Jul 27 16:30:34 2021 R1: -22528399544939174411840147874772641
  362. Tue Jul 27 16:30:34 2021 A0: 3
  363. Tue Jul 27 16:30:34 2021 A1: 0
  364. Tue Jul 27 16:30:34 2021 A2: 0
  365. Tue Jul 27 16:30:34 2021 A3: 0
  366. Tue Jul 27 16:30:34 2021 A4: 0
  367. Tue Jul 27 16:30:34 2021 A5: 0
  368. Tue Jul 27 16:30:34 2021 A6: 4
  369. Tue Jul 27 16:30:34 2021 skew 0.95, size 7.943e-13, alpha 1.261, combined = 9.746e-14 rroots = 0
  370. Tue Jul 27 16:30:34 2021
  371. Tue Jul 27 16:30:34 2021 commencing linear algebra
  372. Tue Jul 27 16:30:36 2021 matrix starts at (0, 0)
  373. Tue Jul 27 16:30:37 2021 matrix is 13160583 x 13160760 (6291.7 MB) with weight 1797321203 (136.57/col)
  374. Tue Jul 27 16:30:37 2021 sparse part has weight 1517724675 (115.32/col)
  375. Tue Jul 27 16:30:37 2021 saving the first 48 matrix rows for later
  376. Tue Jul 27 16:30:38 2021 matrix includes 64 packed rows
  377. Tue Jul 27 16:30:39 2021 matrix is 13160535 x 13160760 (6075.9 MB) with weight 1550514600 (117.81/col)
  378. Tue Jul 27 16:30:39 2021 sparse part has weight 1461142698 (111.02/col)
  379. Tue Jul 27 16:30:39 2021 using block size 8192 and superblock size 49152 for processor cache size 512 kB
  380. Tue Jul 27 16:31:13 2021 commencing Lanczos iteration (8 threads)
  381. Tue Jul 27 16:31:13 2021 memory use: 5850.2 MB
  382. Tue Jul 27 16:31:13 2021 restarting at iteration 66420 (dim = 4200036)
  383. Tue Jul 27 16:31:40 2021 linear algebra at 31.9%, ETA 44h14m
  384. Tue Jul 27 16:31:49 2021 checkpointing every 210000 dimensions
  385. Tue Jul 27 16:57:00 2021
  386. Tue Jul 27 16:57:00 2021
  387. Tue Jul 27 16:57:00 2021 Msieve v. 1.54 (SVN 1040M)
  388. Tue Jul 27 16:57:00 2021 random seeds: 071ad9bc 7f10af62
  389. Tue Jul 27 16:57:00 2021 factoring 4765775834077146855286165634400664077476139489303322175717777204518521303505443606443556540446984425075935701032383504253222877548974611717726704119942413985886960588207295497547655101779246820030967293032579963801592861126949652825095846331 (241 digits)
  390. Tue Jul 27 16:57:01 2021 searching for 15-digit factors
  391. Tue Jul 27 16:57:01 2021 commencing number field sieve (241-digit input)
  392. Tue Jul 27 16:57:01 2021 R0: 22300745198530623141535718272648361505980416
  393. Tue Jul 27 16:57:01 2021 R1: -22528399544939174411840147874772641
  394. Tue Jul 27 16:57:01 2021 A0: 3
  395. Tue Jul 27 16:57:01 2021 A1: 0
  396. Tue Jul 27 16:57:01 2021 A2: 0
  397. Tue Jul 27 16:57:01 2021 A3: 0
  398. Tue Jul 27 16:57:01 2021 A4: 0
  399. Tue Jul 27 16:57:01 2021 A5: 0
  400. Tue Jul 27 16:57:01 2021 A6: 4
  401. Tue Jul 27 16:57:01 2021 skew 0.95, size 7.943e-13, alpha 1.261, combined = 9.746e-14 rroots = 0
  402. Tue Jul 27 16:57:01 2021
  403. Tue Jul 27 16:57:01 2021 commencing linear algebra
  404. Tue Jul 27 16:57:04 2021 matrix starts at (0, 0)
  405. Tue Jul 27 16:57:05 2021 matrix is 13160583 x 13160760 (6291.7 MB) with weight 1797321203 (136.57/col)
  406. Tue Jul 27 16:57:05 2021 sparse part has weight 1517724675 (115.32/col)
  407. Tue Jul 27 16:57:05 2021 saving the first 48 matrix rows for later
  408. Tue Jul 27 16:57:07 2021 matrix includes 64 packed rows
  409. Tue Jul 27 16:57:08 2021 matrix is 13160535 x 13160760 (6075.9 MB) with weight 1550514600 (117.81/col)
  410. Tue Jul 27 16:57:08 2021 sparse part has weight 1461142698 (111.02/col)
  411. Tue Jul 27 16:57:08 2021 using block size 8192 and superblock size 49152 for processor cache size 512 kB
  412. Tue Jul 27 16:57:41 2021 commencing Lanczos iteration (8 threads)
  413. Tue Jul 27 16:57:41 2021 memory use: 5850.2 MB
  414. Tue Jul 27 16:57:41 2021 restarting at iteration 66420 (dim = 4200036)
  415. Tue Jul 27 16:58:08 2021 linear algebra at 31.9%, ETA 44h14m
  416. Tue Jul 27 16:58:17 2021 checkpointing every 210000 dimensions
  417. Tue Jul 27 16:58:22 2021 lanczos halted after 66456 iterations (dim = 4202316)
  418. Tue Jul 27 16:58:24 2021 BLanczosTime: 83
  419. Tue Jul 27 16:58:24 2021
  420. Tue Jul 27 16:58:24 2021 commencing square root phase
  421. Tue Jul 27 16:58:24 2021 reading relations for dependency 1
  422. Tue Jul 27 16:58:24 2021 error: read_cycles can't open dependency file
  423. Tue Jul 27 22:47:37 2021
  424. Tue Jul 27 22:47:37 2021
  425. Tue Jul 27 22:47:37 2021 Msieve v. 1.54 (SVN 1040M)
  426. Tue Jul 27 22:47:37 2021 random seeds: 9269f7fe f707bce1
  427. Tue Jul 27 22:47:37 2021 factoring 4765775834077146855286165634400664077476139489303322175717777204518521303505443606443556540446984425075935701032383504253222877548974611717726704119942413985886960588207295497547655101779246820030967293032579963801592861126949652825095846331 (241 digits)
  428. Tue Jul 27 22:47:37 2021 searching for 15-digit factors
  429. Tue Jul 27 22:47:38 2021 commencing number field sieve (241-digit input)
  430. Tue Jul 27 22:47:38 2021 R0: 22300745198530623141535718272648361505980416
  431. Tue Jul 27 22:47:38 2021 R1: -22528399544939174411840147874772641
  432. Tue Jul 27 22:47:38 2021 A0: 3
  433. Tue Jul 27 22:47:38 2021 A1: 0
  434. Tue Jul 27 22:47:38 2021 A2: 0
  435. Tue Jul 27 22:47:38 2021 A3: 0
  436. Tue Jul 27 22:47:38 2021 A4: 0
  437. Tue Jul 27 22:47:38 2021 A5: 0
  438. Tue Jul 27 22:47:38 2021 A6: 4
  439. Tue Jul 27 22:47:38 2021 skew 0.95, size 7.943e-13, alpha 1.261, combined = 9.746e-14 rroots = 0
  440. Tue Jul 27 22:47:38 2021
  441. Tue Jul 27 22:47:38 2021 commencing linear algebra
  442. Tue Jul 27 22:49:57 2021 matrix starts at (0, 0)
  443. Tue Jul 27 22:49:58 2021 matrix is 13160583 x 13160760 (6291.7 MB) with weight 1797321203 (136.57/col)
  444. Tue Jul 27 22:49:58 2021 sparse part has weight 1517724675 (115.32/col)
  445. Tue Jul 27 22:49:58 2021 saving the first 48 matrix rows for later
  446. Tue Jul 27 22:50:00 2021 matrix includes 64 packed rows
  447. Tue Jul 27 22:50:02 2021 matrix is 13160535 x 13160760 (6075.9 MB) with weight 1550514600 (117.81/col)
  448. Tue Jul 27 22:50:02 2021 sparse part has weight 1461142698 (111.02/col)
  449. Tue Jul 27 22:50:02 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  450. Tue Jul 27 22:50:49 2021 commencing Lanczos iteration (16 threads)
  451. Tue Jul 27 22:50:49 2021 memory use: 5850.4 MB
  452. Tue Jul 27 22:51:01 2021 restarting at iteration 66456 (dim = 4202316)
  453. Tue Jul 27 22:51:16 2021 linear algebra at 31.9%, ETA 24h35m
  454. Tue Jul 27 22:51:18 2021 checkpointing every 370000 dimensions
  455. Thu Jul 29 00:07:31 2021 lanczos halted after 208119 iterations (dim = 13160533)
  456. Thu Jul 29 00:07:42 2021 recovered 38 nontrivial dependencies
  457. Thu Jul 29 00:07:54 2021 BLanczosTime: 91216
  458. Thu Jul 29 00:07:54 2021
  459. Thu Jul 29 00:07:54 2021 commencing square root phase
  460. Thu Jul 29 00:07:54 2021 reading relations for dependency 1
  461. Thu Jul 29 00:08:06 2021 read 6580038 cycles
  462. Thu Jul 29 00:08:19 2021 cycles contain 21057066 unique relations
  463. Thu Jul 29 00:17:15 2021 read 21057066 relations
  464. Thu Jul 29 00:18:41 2021 multiplying 21057066 relations
  465. Thu Jul 29 00:29:59 2021 multiply complete, coefficients have about 592.05 million bits
  466. Thu Jul 29 00:30:00 2021 warning: no irreducible prime found, switching to small primes
  467. Thu Jul 29 00:30:00 2021 initial square root is modulo 53
  468. Thu Jul 29 00:46:00 2021 GCD is 1, no factor found
  469. Thu Jul 29 00:46:00 2021 reading relations for dependency 2
  470. Thu Jul 29 00:46:14 2021 read 6581050 cycles
  471. Thu Jul 29 00:46:27 2021 cycles contain 21061242 unique relations
  472. Thu Jul 29 00:55:23 2021 read 21061242 relations
  473. Thu Jul 29 00:56:49 2021 multiplying 21061242 relations
  474. Thu Jul 29 01:08:22 2021 multiply complete, coefficients have about 592.17 million bits
  475. Thu Jul 29 01:08:23 2021 warning: no irreducible prime found, switching to small primes
  476. Thu Jul 29 01:08:23 2021 initial square root is modulo 53
  477. Thu Jul 29 01:24:06 2021 Newton iteration failed to converge
  478. Thu Jul 29 01:24:06 2021 algebraic square root failed
  479. Thu Jul 29 01:24:06 2021 reading relations for dependency 3
  480. Thu Jul 29 01:24:20 2021 read 6578548 cycles
  481. Thu Jul 29 01:24:33 2021 cycles contain 21056392 unique relations
  482. Thu Jul 29 01:33:29 2021 read 21056392 relations
  483. Thu Jul 29 01:34:56 2021 multiplying 21056392 relations
  484. Thu Jul 29 01:46:36 2021 multiply complete, coefficients have about 592.04 million bits
  485. Thu Jul 29 01:46:37 2021 warning: no irreducible prime found, switching to small primes
  486. Thu Jul 29 01:46:37 2021 initial square root is modulo 53
  487. Thu Jul 29 02:02:48 2021 sqrtTime: 6894
  488. Thu Jul 29 02:02:48 2021 p71 factor: 48945722146142908103060580301841166905710187535747129950261795535742027
  489. Thu Jul 29 02:02:48 2021 p170 factor: 97368587592750563707978715586172511452176392342490503937628234920521543786716987795489375426741927978657001550563037380704099726511538615991426880878634275405839262300753
  490. Thu Jul 29 02:02:48 2021 elapsed time 27:15:11
  491.  
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