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gchilders

2,2246M after singleton removal

Sep 10th, 2022
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  1. Sat Sep 10 14:12:33 2022
  2. Sat Sep 10 14:12:33 2022
  3. Sat Sep 10 14:12:33 2022 Msieve v. 1.54 (SVN unknown)
  4. Sat Sep 10 14:12:33 2022 random seeds: acc0a496 00d38b33
  5. Sat Sep 10 14:12:33 2022 MPI process 0 of 1
  6. Sat Sep 10 14:12:33 2022 factoring 24023387191766184217094927222587025087468868508838209688355658860897738047963529318736265313199625192712082581481439831563094403250831892547179972207284600405234081309183045488404642574713121441527058807512178264038863337 (221 digits)
  7. Sat Sep 10 14:12:34 2022 no P-1/P+1/ECM available, skipping
  8. Sat Sep 10 14:12:34 2022 commencing number field sieve (221-digit input)
  9. Sat Sep 10 14:12:34 2022 R0: -883826944487630913039898826360781491
  10. Sat Sep 10 14:12:34 2022 R1: 5491147176499077994723
  11. Sat Sep 10 14:12:34 2022 A0: -6272928663976835953503006700400405549248445812560
  12. Sat Sep 10 14:12:34 2022 A1: -5675407158616911242917439589632572474104180
  13. Sat Sep 10 14:12:34 2022 A2: 266347884962419560181979156732575836
  14. Sat Sep 10 14:12:34 2022 A3: 20884009291654816021761820985
  15. Sat Sep 10 14:12:34 2022 A4: -421720295366209403966
  16. Sat Sep 10 14:12:34 2022 A5: 5233043442990
  17. Sat Sep 10 14:12:34 2022 A6: 50400
  18. Sat Sep 10 14:12:34 2022 skew 34456920.25, size 7.387e-16, alpha -10.074, combined = 4.075e-16 rroots = 4
  19. Sat Sep 10 14:12:34 2022
  20. Sat Sep 10 14:12:34 2022 commencing relation filtering
  21. Sat Sep 10 14:12:34 2022 setting target matrix density to 130.0
  22. Sat Sep 10 14:12:34 2022 estimated available RAM is 257667.4 MB
  23. Sat Sep 10 14:12:34 2022 commencing duplicate removal, pass 1
  24. Sat Sep 10 14:20:08 2022 skipped 6 relations with b > 2^32
  25. Sat Sep 10 14:20:08 2022 skipped 1512 relations with composite factors
  26. Sat Sep 10 14:20:08 2022 found 125052783 hash collisions in 826676989 relations
  27. Sat Sep 10 14:20:33 2022 commencing duplicate removal, pass 2
  28. Sat Sep 10 14:24:41 2022 found 26 duplicates and 826676963 unique relations
  29. Sat Sep 10 14:24:41 2022 memory use: 4518.0 MB
  30. Sat Sep 10 14:24:42 2022 reading ideals above 720000
  31. Sat Sep 10 14:24:42 2022 commencing singleton removal, initial pass
  32. Sat Sep 10 15:06:14 2022 memory use: 21024.0 MB
  33. Sat Sep 10 15:06:14 2022 reading all ideals from disk
  34. Sat Sep 10 15:06:40 2022 memory use: 45248.3 MB
  35. Sat Sep 10 15:07:24 2022 keeping 788309213 ideals with weight <= 200, target excess is 4790487
  36. Sat Sep 10 15:08:31 2022 commencing in-memory singleton removal
  37. Sat Sep 10 15:08:36 2022 begin with 826676963 relations and 788309213 unique ideals
  38. Sat Sep 10 15:09:44 2022 reduce to 643349931 relations and 597127443 ideals in 20 passes
  39. Sat Sep 10 15:09:44 2022 max relations containing the same ideal: 181
  40. Sat Sep 10 15:12:07 2022 removing 22020748 relations and 20020748 ideals in 2000000 cliques
  41. Sat Sep 10 15:12:20 2022 commencing in-memory singleton removal
  42. Sat Sep 10 15:12:24 2022 begin with 621329183 relations and 597127443 unique ideals
  43. Sat Sep 10 15:13:05 2022 reduce to 620744435 relations and 576518949 ideals in 12 passes
  44. Sat Sep 10 15:13:05 2022 max relations containing the same ideal: 177
  45. Sat Sep 10 15:15:28 2022 removing 16210449 relations and 14210449 ideals in 2000000 cliques
  46. Sat Sep 10 15:15:40 2022 commencing in-memory singleton removal
  47. Sat Sep 10 15:15:44 2022 begin with 604533986 relations and 576518949 unique ideals
  48. Sat Sep 10 15:16:13 2022 reduce to 604194855 relations and 561967988 ideals in 9 passes
  49. Sat Sep 10 15:16:13 2022 max relations containing the same ideal: 172
  50. Sat Sep 10 15:18:27 2022 removing 14345736 relations and 12345736 ideals in 2000000 cliques
  51. Sat Sep 10 15:18:38 2022 commencing in-memory singleton removal
  52. Sat Sep 10 15:18:42 2022 begin with 589849119 relations and 561967988 unique ideals
  53. Sat Sep 10 15:19:09 2022 reduce to 589572279 relations and 549344400 ideals in 8 passes
  54. Sat Sep 10 15:19:09 2022 max relations containing the same ideal: 171
  55. Sat Sep 10 15:21:23 2022 removing 13276580 relations and 11276580 ideals in 2000000 cliques
  56. Sat Sep 10 15:21:34 2022 commencing in-memory singleton removal
  57. Sat Sep 10 15:21:38 2022 begin with 576295699 relations and 549344400 unique ideals
  58. Sat Sep 10 15:22:01 2022 reduce to 576051648 relations and 537822921 ideals in 7 passes
  59. Sat Sep 10 15:22:01 2022 max relations containing the same ideal: 167
  60. Sat Sep 10 15:24:11 2022 removing 12545307 relations and 10545307 ideals in 2000000 cliques
  61. Sat Sep 10 15:24:22 2022 commencing in-memory singleton removal
  62. Sat Sep 10 15:24:26 2022 begin with 563506341 relations and 537822921 unique ideals
  63. Sat Sep 10 15:24:54 2022 reduce to 563283530 relations and 527053990 ideals in 9 passes
  64. Sat Sep 10 15:24:54 2022 max relations containing the same ideal: 167
  65. Sat Sep 10 15:27:01 2022 removing 12002107 relations and 10002107 ideals in 2000000 cliques
  66. Sat Sep 10 15:27:12 2022 commencing in-memory singleton removal
  67. Sat Sep 10 15:27:16 2022 begin with 551281423 relations and 527053990 unique ideals
  68. Sat Sep 10 15:27:41 2022 reduce to 551071870 relations and 516841567 ideals in 8 passes
  69. Sat Sep 10 15:27:41 2022 max relations containing the same ideal: 166
  70. Sat Sep 10 15:29:44 2022 removing 11582805 relations and 9582805 ideals in 2000000 cliques
  71. Sat Sep 10 15:29:54 2022 commencing in-memory singleton removal
  72. Sat Sep 10 15:29:58 2022 begin with 539489065 relations and 516841567 unique ideals
  73. Sat Sep 10 15:30:20 2022 reduce to 539289191 relations and 507058142 ideals in 7 passes
  74. Sat Sep 10 15:30:20 2022 max relations containing the same ideal: 165
  75. Sat Sep 10 15:32:21 2022 removing 11241595 relations and 9241595 ideals in 2000000 cliques
  76. Sat Sep 10 15:32:31 2022 commencing in-memory singleton removal
  77. Sat Sep 10 15:32:35 2022 begin with 528047596 relations and 507058142 unique ideals
  78. Sat Sep 10 15:32:59 2022 reduce to 527855933 relations and 497624175 ideals in 8 passes
  79. Sat Sep 10 15:32:59 2022 max relations containing the same ideal: 164
  80. Sat Sep 10 15:34:55 2022 removing 10963781 relations and 8963781 ideals in 2000000 cliques
  81. Sat Sep 10 15:35:05 2022 commencing in-memory singleton removal
  82. Sat Sep 10 15:35:09 2022 begin with 516892152 relations and 497624175 unique ideals
  83. Sat Sep 10 15:35:35 2022 reduce to 516703619 relations and 488471156 ideals in 9 passes
  84. Sat Sep 10 15:35:35 2022 max relations containing the same ideal: 161
  85. Sat Sep 10 15:37:29 2022 removing 10726847 relations and 8726847 ideals in 2000000 cliques
  86. Sat Sep 10 15:37:39 2022 commencing in-memory singleton removal
  87. Sat Sep 10 15:37:42 2022 begin with 505976772 relations and 488471156 unique ideals
  88. Sat Sep 10 15:38:06 2022 reduce to 505794659 relations and 479561490 ideals in 8 passes
  89. Sat Sep 10 15:38:06 2022 max relations containing the same ideal: 155
  90. Sat Sep 10 15:39:58 2022 removing 10531086 relations and 8531086 ideals in 2000000 cliques
  91. Sat Sep 10 15:40:08 2022 commencing in-memory singleton removal
  92. Sat Sep 10 15:40:11 2022 begin with 495263573 relations and 479561490 unique ideals
  93. Sat Sep 10 15:40:32 2022 reduce to 495082483 relations and 470848633 ideals in 7 passes
  94. Sat Sep 10 15:40:32 2022 max relations containing the same ideal: 154
  95. Sat Sep 10 15:42:21 2022 removing 10364064 relations and 8364064 ideals in 2000000 cliques
  96. Sat Sep 10 15:42:31 2022 commencing in-memory singleton removal
  97. Sat Sep 10 15:42:34 2022 begin with 484718419 relations and 470848633 unique ideals
  98. Sat Sep 10 15:42:55 2022 reduce to 484539753 relations and 462305228 ideals in 7 passes
  99. Sat Sep 10 15:42:55 2022 max relations containing the same ideal: 153
  100. Sat Sep 10 15:44:37 2022 removing 10218442 relations and 8218442 ideals in 2000000 cliques
  101. Sat Sep 10 15:44:46 2022 commencing in-memory singleton removal
  102. Sat Sep 10 15:44:49 2022 begin with 474321311 relations and 462305228 unique ideals
  103. Sat Sep 10 15:45:09 2022 reduce to 474141594 relations and 453906339 ideals in 7 passes
  104. Sat Sep 10 15:45:09 2022 max relations containing the same ideal: 149
  105. Sat Sep 10 15:46:51 2022 removing 10094607 relations and 8094607 ideals in 2000000 cliques
  106. Sat Sep 10 15:47:00 2022 commencing in-memory singleton removal
  107. Sat Sep 10 15:47:03 2022 begin with 464046987 relations and 453906339 unique ideals
  108. Sat Sep 10 15:47:25 2022 reduce to 463869007 relations and 445633090 ideals in 8 passes
  109. Sat Sep 10 15:47:25 2022 max relations containing the same ideal: 147
  110. Sat Sep 10 15:49:08 2022 removing 9991501 relations and 7991501 ideals in 2000000 cliques
  111. Sat Sep 10 15:49:17 2022 commencing in-memory singleton removal
  112. Sat Sep 10 15:49:20 2022 begin with 453877506 relations and 445633090 unique ideals
  113. Sat Sep 10 15:49:39 2022 reduce to 453697555 relations and 437460946 ideals in 7 passes
  114. Sat Sep 10 15:49:39 2022 max relations containing the same ideal: 143
  115. Sat Sep 10 15:51:22 2022 removing 9896778 relations and 7896778 ideals in 2000000 cliques
  116. Sat Sep 10 15:51:31 2022 commencing in-memory singleton removal
  117. Sat Sep 10 15:51:34 2022 begin with 443800777 relations and 437460946 unique ideals
  118. Sat Sep 10 15:51:53 2022 reduce to 443620060 relations and 429382676 ideals in 7 passes
  119. Sat Sep 10 15:51:53 2022 max relations containing the same ideal: 142
  120. Sat Sep 10 15:53:31 2022 removing 9822753 relations and 7822753 ideals in 2000000 cliques
  121. Sat Sep 10 15:53:39 2022 commencing in-memory singleton removal
  122. Sat Sep 10 15:53:42 2022 begin with 433797307 relations and 429382676 unique ideals
  123. Sat Sep 10 15:54:00 2022 reduce to 433614077 relations and 421375927 ideals in 7 passes
  124. Sat Sep 10 15:54:00 2022 max relations containing the same ideal: 139
  125. Sat Sep 10 15:55:35 2022 removing 9761743 relations and 7761743 ideals in 2000000 cliques
  126. Sat Sep 10 15:55:43 2022 commencing in-memory singleton removal
  127. Sat Sep 10 15:55:46 2022 begin with 423852334 relations and 421375927 unique ideals
  128. Sat Sep 10 15:56:05 2022 reduce to 423667045 relations and 413428135 ideals in 7 passes
  129. Sat Sep 10 15:56:05 2022 max relations containing the same ideal: 135
  130. Sat Sep 10 15:57:35 2022 removing 9708633 relations and 7708633 ideals in 2000000 cliques
  131. Sat Sep 10 15:57:43 2022 commencing in-memory singleton removal
  132. Sat Sep 10 15:57:46 2022 begin with 413958412 relations and 413428135 unique ideals
  133. Sat Sep 10 15:58:06 2022 reduce to 413768662 relations and 405528882 ideals in 8 passes
  134. Sat Sep 10 15:58:06 2022 max relations containing the same ideal: 134
  135. Sat Sep 10 15:59:35 2022 removing 9672869 relations and 7672869 ideals in 2000000 cliques
  136. Sat Sep 10 15:59:43 2022 commencing in-memory singleton removal
  137. Sat Sep 10 15:59:45 2022 begin with 404095793 relations and 405528882 unique ideals
  138. Sat Sep 10 16:00:03 2022 reduce to 403903719 relations and 397663054 ideals in 7 passes
  139. Sat Sep 10 16:00:03 2022 max relations containing the same ideal: 133
  140. Sat Sep 10 16:01:34 2022 removing 3926594 relations and 3242894 ideals in 683700 cliques
  141. Sat Sep 10 16:01:41 2022 commencing in-memory singleton removal
  142. Sat Sep 10 16:01:44 2022 begin with 399977125 relations and 397663054 unique ideals
  143. Sat Sep 10 16:01:59 2022 reduce to 399947423 relations and 394390407 ideals in 6 passes
  144. Sat Sep 10 16:01:59 2022 max relations containing the same ideal: 131
  145. Sat Sep 10 16:02:51 2022 relations with 0 large ideals: 5463
  146. Sat Sep 10 16:02:51 2022 relations with 1 large ideals: 110634
  147. Sat Sep 10 16:02:51 2022 relations with 2 large ideals: 1345974
  148. Sat Sep 10 16:02:51 2022 relations with 3 large ideals: 8403506
  149. Sat Sep 10 16:02:51 2022 relations with 4 large ideals: 31230180
  150. Sat Sep 10 16:02:51 2022 relations with 5 large ideals: 72966836
  151. Sat Sep 10 16:02:51 2022 relations with 6 large ideals: 107616716
  152. Sat Sep 10 16:02:51 2022 relations with 7+ large ideals: 178268114
  153. Sat Sep 10 16:02:51 2022 commencing 2-way merge
  154. Sat Sep 10 16:05:19 2022 reduce to 262598765 relation sets and 257041749 unique ideals
  155. Sat Sep 10 16:05:19 2022 commencing full merge
  156. Sat Sep 10 17:07:43 2022 memory use: 27708.7 MB
  157. Sat Sep 10 17:08:06 2022 found 115052176 cycles, need 114667949
  158. Sat Sep 10 17:08:38 2022 weight of 114667949 cycles is about 14907038000 (130.00/cycle)
  159. Sat Sep 10 17:08:38 2022 distribution of cycle lengths:
  160. Sat Sep 10 17:08:38 2022 1 relations: 5423054
  161. Sat Sep 10 17:08:38 2022 2 relations: 8380880
  162. Sat Sep 10 17:08:38 2022 3 relations: 9889372
  163. Sat Sep 10 17:08:38 2022 4 relations: 9698460
  164. Sat Sep 10 17:08:38 2022 5 relations: 9405468
  165. Sat Sep 10 17:08:38 2022 6 relations: 8820147
  166. Sat Sep 10 17:08:38 2022 7 relations: 8181309
  167. Sat Sep 10 17:08:38 2022 8 relations: 7513119
  168. Sat Sep 10 17:08:38 2022 9 relations: 6809618
  169. Sat Sep 10 17:08:38 2022 10+ relations: 40546522
  170. Sat Sep 10 17:08:38 2022 heaviest cycle: 28 relations
  171. Sat Sep 10 17:08:52 2022 commencing cycle optimization
  172. Sat Sep 10 17:12:02 2022 start with 948145544 relations
  173. Sat Sep 10 17:39:29 2022 pruned 34548824 relations
  174. Sat Sep 10 17:39:37 2022 memory use: 26400.9 MB
  175. Sat Sep 10 17:39:38 2022 distribution of cycle lengths:
  176. Sat Sep 10 17:39:38 2022 1 relations: 5423054
  177. Sat Sep 10 17:39:38 2022 2 relations: 8614619
  178. Sat Sep 10 17:39:38 2022 3 relations: 10328761
  179. Sat Sep 10 17:39:38 2022 4 relations: 10065326
  180. Sat Sep 10 17:39:38 2022 5 relations: 9792124
  181. Sat Sep 10 17:39:38 2022 6 relations: 9107473
  182. Sat Sep 10 17:39:38 2022 7 relations: 8437460
  183. Sat Sep 10 17:39:38 2022 8 relations: 7683079
  184. Sat Sep 10 17:39:38 2022 9 relations: 6940808
  185. Sat Sep 10 17:39:38 2022 10+ relations: 38275245
  186. Sat Sep 10 17:39:38 2022 heaviest cycle: 28 relations
  187. Sat Sep 10 17:42:08 2022 RelProcTime: 12574
  188. Sat Sep 10 17:42:11 2022 elapsed time 03:29:38
  189.  
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