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Jul 25th, 2022
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  1. Sat Jul 16 18:39:00 2022
  2. Sat Jul 16 18:39:00 2022
  3. Sat Jul 16 18:39:00 2022 Msieve v. 1.52 (SVN unknown)
  4. Sat Jul 16 18:39:00 2022 random seeds: 3c3f5f5c 507d2996
  5. Sat Jul 16 18:39:00 2022 factoring 721254440060854722337846666853672843828763907507937679580006428894536425560998937876257185512879872561177644242404144774321019870042152474792275415005376010264695635083205609034385682719838669 (192 digits)
  6. Sat Jul 16 18:39:01 2022 no P-1/P+1/ECM available, skipping
  7. Sat Jul 16 18:39:01 2022 commencing number field sieve (192-digit input)
  8. Sat Jul 16 18:39:01 2022 R0: 4318114567396436564035293097707728087552248849
  9. Sat Jul 16 18:39:01 2022 R1: -1047532535594334222593508922191671036215296
  10. Sat Jul 16 18:39:01 2022 A0: -7
  11. Sat Jul 16 18:39:01 2022 A1: 0
  12. Sat Jul 16 18:39:01 2022 A2: 0
  13. Sat Jul 16 18:39:01 2022 A3: 0
  14. Sat Jul 16 18:39:01 2022 A4: 0
  15. Sat Jul 16 18:39:01 2022 A5: 0
  16. Sat Jul 16 18:39:01 2022 A6: 6
  17. Sat Jul 16 18:39:01 2022 skew 1.03, size 2.356e-013, alpha 0.014, combined = 3.767e-014 rroots = 2
  18. Sat Jul 16 18:39:01 2022
  19. Sat Jul 16 18:39:01 2022 commencing relation filtering
  20. Sat Jul 16 18:39:01 2022 setting target matrix density to 126.0
  21. Sat Jul 16 18:39:01 2022 estimated available RAM is 130978.7 MB
  22. Sat Jul 16 18:39:01 2022 commencing duplicate removal, pass 1
  23. Sat Jul 16 18:39:02 2022 error -15 reading relation 32850
  24. Sat Jul 16 18:39:41 2022 error -9 reading relation 4063330
  25. Sat Jul 16 18:39:44 2022 error -5 reading relation 4389904
  26. Sat Jul 16 18:41:56 2022 error -15 reading relation 18228360
  27. Sat Jul 16 19:52:56 2022 error -15 reading relation 457716688
  28. Sat Jul 16 19:53:05 2022 error -9 reading relation 458631642
  29. Sat Jul 16 19:53:45 2022 error -9 reading relation 462833803
  30. Sat Jul 16 19:53:49 2022 skipped 2034 relations with b > 2^32
  31. Sat Jul 16 19:53:49 2022 found 109181121 hash collisions in 463243370 relations
  32. Sat Jul 16 19:54:17 2022 added 1218591 free relations
  33. Sat Jul 16 19:54:17 2022 commencing duplicate removal, pass 2
  34. Sat Jul 16 19:58:36 2022 found 107890151 duplicates and 356571810 unique relations
  35. Sat Jul 16 19:58:36 2022 memory use: 2387.0 MB
  36. Sat Jul 16 19:58:36 2022 reading ideals above 720000
  37. Sat Jul 16 19:58:36 2022 commencing singleton removal, initial pass
  38. Sat Jul 16 21:16:10 2022 memory use: 11024.0 MB
  39. Sat Jul 16 21:16:10 2022 reading all ideals from disk
  40. Sat Jul 16 21:16:17 2022 memory use: 15095.2 MB
  41. Sat Jul 16 21:17:32 2022 keeping 339338554 ideals with weight <= 200, target excess is 1809142
  42. Sat Jul 16 21:18:49 2022 commencing in-memory singleton removal
  43. Sat Jul 16 21:19:42 2022 begin with 356571810 relations and 339338554 unique ideals
  44. Sat Jul 16 21:29:42 2022 reduce to 222162842 relations and 190539872 ideals in 17 passes
  45. Sat Jul 16 21:29:42 2022 max relations containing the same ideal: 156
  46. Sat Jul 16 21:32:22 2022 removing 14454730 relations and 12454730 ideals in 2000000 cliques
  47. Sat Jul 16 21:32:28 2022 commencing in-memory singleton removal
  48. Sat Jul 16 21:33:01 2022 begin with 207708112 relations and 190539872 unique ideals
  49. Sat Jul 16 21:37:54 2022 reduce to 206945283 relations and 177312788 ideals in 9 passes
  50. Sat Jul 16 21:37:54 2022 max relations containing the same ideal: 153
  51. Sat Jul 16 21:40:24 2022 removing 10864792 relations and 8864792 ideals in 2000000 cliques
  52. Sat Jul 16 21:40:28 2022 commencing in-memory singleton removal
  53. Sat Jul 16 21:41:00 2022 begin with 196080491 relations and 177312788 unique ideals
  54. Sat Jul 16 21:45:12 2022 reduce to 195599284 relations and 167961796 ideals in 8 passes
  55. Sat Jul 16 21:45:12 2022 max relations containing the same ideal: 144
  56. Sat Jul 16 21:47:32 2022 removing 9756510 relations and 7756510 ideals in 2000000 cliques
  57. Sat Jul 16 21:47:37 2022 commencing in-memory singleton removal
  58. Sat Jul 16 21:48:06 2022 begin with 185842774 relations and 167961796 unique ideals
  59. Sat Jul 16 21:51:54 2022 reduce to 185428797 relations and 159787055 ideals in 8 passes
  60. Sat Jul 16 21:51:54 2022 max relations containing the same ideal: 139
  61. Sat Jul 16 21:54:07 2022 removing 9163965 relations and 7163965 ideals in 2000000 cliques
  62. Sat Jul 16 21:54:11 2022 commencing in-memory singleton removal
  63. Sat Jul 16 21:54:38 2022 begin with 176264832 relations and 159787055 unique ideals
  64. Sat Jul 16 21:57:46 2022 reduce to 175879056 relations and 152233310 ideals in 7 passes
  65. Sat Jul 16 21:57:46 2022 max relations containing the same ideal: 133
  66. Sat Jul 16 22:00:02 2022 removing 8789138 relations and 6789138 ideals in 2000000 cliques
  67. Sat Jul 16 22:00:05 2022 commencing in-memory singleton removal
  68. Sat Jul 16 22:00:32 2022 begin with 167089918 relations and 152233310 unique ideals
  69. Sat Jul 16 22:03:57 2022 reduce to 166715840 relations and 145066235 ideals in 8 passes
  70. Sat Jul 16 22:03:57 2022 max relations containing the same ideal: 130
  71. Sat Jul 16 22:05:56 2022 removing 8537084 relations and 6537084 ideals in 2000000 cliques
  72. Sat Jul 16 22:05:59 2022 commencing in-memory singleton removal
  73. Sat Jul 16 22:06:24 2022 begin with 158178756 relations and 145066235 unique ideals
  74. Sat Jul 16 22:09:15 2022 reduce to 157810578 relations and 138156986 ideals in 7 passes
  75. Sat Jul 16 22:09:15 2022 max relations containing the same ideal: 127
  76. Sat Jul 16 22:11:11 2022 removing 8359837 relations and 6359837 ideals in 2000000 cliques
  77. Sat Jul 16 22:11:15 2022 commencing in-memory singleton removal
  78. Sat Jul 16 22:11:38 2022 begin with 149450741 relations and 138156986 unique ideals
  79. Sat Jul 16 22:14:38 2022 reduce to 149077953 relations and 131420102 ideals in 8 passes
  80. Sat Jul 16 22:14:38 2022 max relations containing the same ideal: 123
  81. Sat Jul 16 22:16:26 2022 removing 8240011 relations and 6240011 ideals in 2000000 cliques
  82. Sat Jul 16 22:16:29 2022 commencing in-memory singleton removal
  83. Sat Jul 16 22:16:51 2022 begin with 140837942 relations and 131420102 unique ideals
  84. Sat Jul 16 22:19:18 2022 reduce to 140457291 relations and 124794900 ideals in 7 passes
  85. Sat Jul 16 22:19:18 2022 max relations containing the same ideal: 116
  86. Sat Jul 16 22:21:02 2022 removing 8162991 relations and 6162991 ideals in 2000000 cliques
  87. Sat Jul 16 22:21:05 2022 commencing in-memory singleton removal
  88. Sat Jul 16 22:21:25 2022 begin with 132294300 relations and 124794900 unique ideals
  89. Sat Jul 16 22:23:44 2022 reduce to 131899615 relations and 118232254 ideals in 7 passes
  90. Sat Jul 16 22:23:44 2022 max relations containing the same ideal: 110
  91. Sat Jul 16 22:25:27 2022 removing 8115003 relations and 6115003 ideals in 2000000 cliques
  92. Sat Jul 16 22:25:30 2022 commencing in-memory singleton removal
  93. Sat Jul 16 22:25:49 2022 begin with 123784612 relations and 118232254 unique ideals
  94. Sat Jul 16 22:28:01 2022 reduce to 123371029 relations and 111698143 ideals in 7 passes
  95. Sat Jul 16 22:28:01 2022 max relations containing the same ideal: 105
  96. Sat Jul 16 22:29:32 2022 removing 8099358 relations and 6099358 ideals in 2000000 cliques
  97. Sat Jul 16 22:29:35 2022 commencing in-memory singleton removal
  98. Sat Jul 16 22:29:53 2022 begin with 115271671 relations and 111698143 unique ideals
  99. Sat Jul 16 22:31:49 2022 reduce to 114833240 relations and 105154177 ideals in 7 passes
  100. Sat Jul 16 22:31:49 2022 max relations containing the same ideal: 100
  101. Sat Jul 16 22:33:15 2022 removing 8109629 relations and 6109629 ideals in 2000000 cliques
  102. Sat Jul 16 22:33:18 2022 commencing in-memory singleton removal
  103. Sat Jul 16 22:33:34 2022 begin with 106723611 relations and 105154177 unique ideals
  104. Sat Jul 16 22:35:38 2022 reduce to 106252071 relations and 98565836 ideals in 8 passes
  105. Sat Jul 16 22:35:38 2022 max relations containing the same ideal: 96
  106. Sat Jul 16 22:36:56 2022 removing 8144033 relations and 6144033 ideals in 2000000 cliques
  107. Sat Jul 16 22:36:59 2022 commencing in-memory singleton removal
  108. Sat Jul 16 22:37:14 2022 begin with 98108038 relations and 98565836 unique ideals
  109. Sat Jul 16 22:38:54 2022 reduce to 97597977 relations and 91903242 ideals in 7 passes
  110. Sat Jul 16 22:38:54 2022 max relations containing the same ideal: 89
  111. Sat Jul 16 22:40:06 2022 removing 8207789 relations and 6207789 ideals in 2000000 cliques
  112. Sat Jul 16 22:40:09 2022 commencing in-memory singleton removal
  113. Sat Jul 16 22:40:22 2022 begin with 89390188 relations and 91903242 unique ideals
  114. Sat Jul 16 22:42:04 2022 reduce to 88824333 relations and 85119621 ideals in 8 passes
  115. Sat Jul 16 22:42:04 2022 max relations containing the same ideal: 83
  116. Sat Jul 16 22:43:09 2022 removing 6951199 relations and 5345092 ideals in 1606107 cliques
  117. Sat Jul 16 22:43:12 2022 commencing in-memory singleton removal
  118. Sat Jul 16 22:43:24 2022 begin with 81873134 relations and 85119621 unique ideals
  119. Sat Jul 16 22:44:58 2022 reduce to 81431991 relations and 79326450 ideals in 8 passes
  120. Sat Jul 16 22:44:58 2022 max relations containing the same ideal: 79
  121. Sat Jul 16 22:46:09 2022 relations with 0 large ideals: 69421
  122. Sat Jul 16 22:46:09 2022 relations with 1 large ideals: 33564
  123. Sat Jul 16 22:46:09 2022 relations with 2 large ideals: 441298
  124. Sat Jul 16 22:46:09 2022 relations with 3 large ideals: 2660811
  125. Sat Jul 16 22:46:09 2022 relations with 4 large ideals: 8773055
  126. Sat Jul 16 22:46:09 2022 relations with 5 large ideals: 17391897
  127. Sat Jul 16 22:46:09 2022 relations with 6 large ideals: 21733026
  128. Sat Jul 16 22:46:09 2022 relations with 7+ large ideals: 30328919
  129. Sat Jul 16 22:46:09 2022 commencing 2-way merge
  130. Sat Jul 16 22:47:34 2022 reduce to 51516242 relation sets and 49410701 unique ideals
  131. Sat Jul 16 22:47:34 2022 commencing full merge
  132. Sat Jul 16 23:19:15 2022 memory use: 6444.1 MB
  133. Sat Jul 16 23:19:30 2022 found 22558501 cycles, need 22548901
  134. Sat Jul 16 23:19:31 2022 weight of 22548901 cycles is about 2841902286 (126.03/cycle)
  135. Sat Jul 16 23:19:31 2022 distribution of cycle lengths:
  136. Sat Jul 16 23:19:31 2022 1 relations: 1464239
  137. Sat Jul 16 23:19:31 2022 2 relations: 1548542
  138. Sat Jul 16 23:19:31 2022 3 relations: 1594276
  139. Sat Jul 16 23:19:31 2022 4 relations: 1546415
  140. Sat Jul 16 23:19:31 2022 5 relations: 1528465
  141. Sat Jul 16 23:19:31 2022 6 relations: 1473331
  142. Sat Jul 16 23:19:31 2022 7 relations: 1433110
  143. Sat Jul 16 23:19:31 2022 8 relations: 1359250
  144. Sat Jul 16 23:19:31 2022 9 relations: 1293806
  145. Sat Jul 16 23:19:31 2022 10+ relations: 9307467
  146. Sat Jul 16 23:19:31 2022 heaviest cycle: 28 relations
  147. Sat Jul 16 23:20:35 2022 commencing cycle optimization
  148. Sat Jul 16 23:21:26 2022 start with 204294835 relations
  149. Sat Jul 16 23:33:47 2022 pruned 8934146 relations
  150. Sat Jul 16 23:33:47 2022 memory use: 5427.1 MB
  151. Sat Jul 16 23:33:47 2022 distribution of cycle lengths:
  152. Sat Jul 16 23:33:47 2022 1 relations: 1464239
  153. Sat Jul 16 23:33:47 2022 2 relations: 1584903
  154. Sat Jul 16 23:33:47 2022 3 relations: 1657076
  155. Sat Jul 16 23:33:47 2022 4 relations: 1605630
  156. Sat Jul 16 23:33:47 2022 5 relations: 1597374
  157. Sat Jul 16 23:33:47 2022 6 relations: 1536950
  158. Sat Jul 16 23:33:47 2022 7 relations: 1500645
  159. Sat Jul 16 23:33:47 2022 8 relations: 1419179
  160. Sat Jul 16 23:33:47 2022 9 relations: 1348981
  161. Sat Jul 16 23:33:47 2022 10+ relations: 8833924
  162. Sat Jul 16 23:33:47 2022 heaviest cycle: 28 relations
  163. Sat Jul 16 23:35:07 2022 RelProcTime: 17766
  164. Sat Jul 16 23:35:07 2022
  165. Sat Jul 16 23:35:07 2022 commencing linear algebra
  166. Sat Jul 16 23:35:14 2022 read 22548901 cycles
  167. Sat Jul 16 23:36:13 2022 cycles contain 80051207 unique relations
  168. Sat Jul 16 23:50:35 2022 read 80051207 relations
  169. Sat Jul 16 23:53:51 2022 using 20 quadratic characters above 4294917296
  170. Sun Jul 17 00:00:31 2022 building initial matrix
  171. Sun Jul 17 00:20:37 2022 memory use: 10592.2 MB
  172. Sun Jul 17 00:21:20 2022 read 22548901 cycles
  173. Sun Jul 17 00:21:29 2022 matrix is 22548724 x 22548901 (11054.8 MB) with weight 3227935980 (143.15/col)
  174. Sun Jul 17 00:21:29 2022 sparse part has weight 2649908064 (117.52/col)
  175. Sun Jul 17 00:30:29 2022 filtering completed in 2 passes
  176. Sun Jul 17 00:30:38 2022 matrix is 22548455 x 22548632 (11054.8 MB) with weight 3227925671 (143.15/col)
  177. Sun Jul 17 00:30:38 2022 sparse part has weight 2649905058 (117.52/col)
  178. Sun Jul 17 00:33:06 2022 matrix starts at (0, 0)
  179. Sun Jul 17 00:33:14 2022 matrix is 22548455 x 22548632 (11054.8 MB) with weight 3227925671 (143.15/col)
  180. Sun Jul 17 00:33:14 2022 sparse part has weight 2649905058 (117.52/col)
  181. Sun Jul 17 00:33:14 2022 saving the first 48 matrix rows for later
  182. Sun Jul 17 00:33:22 2022 matrix includes 64 packed rows
  183. Sun Jul 17 00:33:27 2022 matrix is 22548407 x 22548632 (10708.9 MB) with weight 2784304724 (123.48/col)
  184. Sun Jul 17 00:33:27 2022 sparse part has weight 2581785891 (114.50/col)
  185. Sun Jul 17 00:33:27 2022 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  186. Sun Jul 17 00:36:42 2022 commencing Lanczos iteration (24 threads)
  187. Sun Jul 17 00:36:42 2022 memory use: 9265.9 MB
  188. Sun Jul 17 00:37:44 2022 linear algebra at 0.0%, ETA 244h 4m
  189. Sun Jul 17 00:38:04 2022 checkpointing every 100000 dimensions
  190. Mon Jul 25 02:25:36 2022 lanczos halted after 356566 iterations (dim = 22548402)
  191. Mon Jul 25 02:26:03 2022 recovered 35 nontrivial dependencies
  192. Mon Jul 25 02:26:35 2022 BLanczosTime: 701488
  193. Mon Jul 25 02:26:35 2022
  194. Mon Jul 25 02:26:35 2022 commencing square root phase
  195. Mon Jul 25 02:26:35 2022 handling dependencies 1 to 64
  196. Mon Jul 25 02:26:35 2022 reading relations for dependency 1
  197. Mon Jul 25 02:26:41 2022 read 11271595 cycles
  198. Mon Jul 25 02:27:11 2022 cycles contain 40022360 unique relations
  199. Mon Jul 25 02:35:07 2022 read 40022360 relations
  200. Mon Jul 25 02:39:23 2022 multiplying 40022360 relations
  201. Mon Jul 25 03:29:02 2022 multiply complete, coefficients have about 1155.60 million bits
  202. Mon Jul 25 03:29:17 2022 initial square root is modulo 152767
  203. Mon Jul 25 04:26:20 2022 GCD is 1, no factor found
  204. Mon Jul 25 04:26:20 2022 reading relations for dependency 2
  205. Mon Jul 25 04:26:26 2022 read 11276641 cycles
  206. Mon Jul 25 04:26:56 2022 cycles contain 40029984 unique relations
  207. Mon Jul 25 04:34:47 2022 read 40029984 relations
  208. Mon Jul 25 04:38:57 2022 multiplying 40029984 relations
  209. Mon Jul 25 05:28:27 2022 multiply complete, coefficients have about 1155.83 million bits
  210. Mon Jul 25 05:28:42 2022 initial square root is modulo 153133
  211. Mon Jul 25 06:25:38 2022 sqrtTime: 14343
  212. Mon Jul 25 06:25:38 2022 prp77 factor: 18790799179598956677809813233818970955254712169449836196099826918661598374937
  213. Mon Jul 25 06:25:38 2022 prp116 factor: 38383382908158359751904523723457649684098373309026463919143035424526538480306292084304646382999001824515465550318037
  214. Mon Jul 25 06:25:38 2022 elapsed time 203:46:38
  215.  
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