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Msieve log of 692__361_7m1

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Jun 13th, 2021
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  1. Sun Jun 13 08:52:33 2021
  2. Sun Jun 13 08:52:33 2021
  3. Sun Jun 13 08:52:33 2021 Msieve v. 1.53 (SVN 988)
  4. Sun Jun 13 08:52:33 2021 random seeds: 3bf3efd8 14a28b29
  5. Sun Jun 13 08:52:33 2021 factoring 234822466266345042492922354799647789064705806792958823339602891693247675338790587540736233890413086837795944167070794294984719530143154406493450114847257079997786278415649090516133 (180 digits)
  6. Sun Jun 13 08:52:34 2021 searching for 15-digit factors
  7. Sun Jun 13 08:52:35 2021 commencing number field sieve (180-digit input)
  8. Sun Jun 13 08:52:35 2021 R0: 692628061749753944383216378331172361
  9. Sun Jun 13 08:52:35 2021 R1: -1
  10. Sun Jun 13 08:52:35 2021 A0: 1
  11. Sun Jun 13 08:52:35 2021 A1: 1
  12. Sun Jun 13 08:52:35 2021 A2: 1
  13. Sun Jun 13 08:52:35 2021 A3: 1
  14. Sun Jun 13 08:52:35 2021 A4: 1
  15. Sun Jun 13 08:52:35 2021 A5: 1
  16. Sun Jun 13 08:52:35 2021 A6: 1
  17. Sun Jun 13 08:52:35 2021 skew 1.00, size 1.119e-010, alpha 2.428, combined = 3.627e-012 rroots = 0
  18. Sun Jun 13 08:52:35 2021
  19. Sun Jun 13 08:52:35 2021 commencing relation filtering
  20. Sun Jun 13 08:52:35 2021 setting target matrix density to 100.0
  21. Sun Jun 13 08:52:35 2021 estimated available RAM is 12043.5 MB
  22. Sun Jun 13 08:52:35 2021 commencing duplicate removal, pass 1
  23. Sun Jun 13 08:54:24 2021 error -9 reading relation 9489908
  24. Sun Jun 13 08:56:07 2021 error -5 reading relation 18376732
  25. Sun Jun 13 08:56:43 2021 error -9 reading relation 21443566
  26. Sun Jun 13 08:57:43 2021 error -1 reading relation 26649227
  27. Sun Jun 13 08:58:52 2021 error -15 reading relation 32663937
  28. Sun Jun 13 08:58:59 2021 error -15 reading relation 33260052
  29. Sun Jun 13 08:59:37 2021 error -9 reading relation 36250495
  30. Sun Jun 13 08:59:37 2021 error -9 reading relation 36265447
  31. Sun Jun 13 08:59:37 2021 error -9 reading relation 36303111
  32. Sun Jun 13 08:59:39 2021 error -9 reading relation 36435504
  33. Sun Jun 13 09:01:28 2021 error -9 reading relation 45334493
  34. Sun Jun 13 09:01:40 2021 error -9 reading relation 46386204
  35. Sun Jun 13 09:02:03 2021 error -9 reading relation 48351228
  36. Sun Jun 13 09:02:25 2021 error -9 reading relation 50172333
  37. Sun Jun 13 09:02:28 2021 error -9 reading relation 50459382
  38. Sun Jun 13 09:02:46 2021 error -1 reading relation 51945214
  39. Sun Jun 13 09:02:52 2021 error -9 reading relation 52523090
  40. Sun Jun 13 09:02:53 2021 error -9 reading relation 52535822
  41. Sun Jun 13 09:03:03 2021 error -9 reading relation 53365955
  42. Sun Jun 13 09:03:11 2021 error -15 reading relation 53989598
  43. Sun Jun 13 09:03:27 2021 error -15 reading relation 55384479
  44. Sun Jun 13 09:03:47 2021 error -9 reading relation 57051090
  45. Sun Jun 13 09:03:47 2021 error -11 reading relation 57051091
  46. Sun Jun 13 09:03:47 2021 error -1 reading relation 57055037
  47. Sun Jun 13 09:04:15 2021 error -5 reading relation 59442640
  48. Sun Jun 13 09:04:41 2021 error -9 reading relation 61570978
  49. Sun Jun 13 09:05:14 2021 error -15 reading relation 64325415
  50. Sun Jun 13 09:05:16 2021 skipped 23 relations with composite factors
  51. Sun Jun 13 09:05:16 2021 found 12430392 hash collisions in 64417000 relations
  52. Sun Jun 13 09:05:25 2021 added 2438530 free relations
  53. Sun Jun 13 09:05:25 2021 commencing duplicate removal, pass 2
  54. Sun Jun 13 09:06:11 2021 found 11836092 duplicates and 55019438 unique relations
  55. Sun Jun 13 09:06:11 2021 memory use: 330.4 MB
  56. Sun Jun 13 09:06:11 2021 reading ideals above 35979264
  57. Sun Jun 13 09:06:11 2021 commencing singleton removal, initial pass
  58. Sun Jun 13 09:15:25 2021 memory use: 1378.0 MB
  59. Sun Jun 13 09:15:25 2021 reading all ideals from disk
  60. Sun Jun 13 09:15:27 2021 memory use: 977.4 MB
  61. Sun Jun 13 09:15:29 2021 commencing in-memory singleton removal
  62. Sun Jun 13 09:15:32 2021 begin with 55019438 relations and 43994821 unique ideals
  63. Sun Jun 13 09:15:55 2021 reduce to 38681509 relations and 26144571 ideals in 12 passes
  64. Sun Jun 13 09:15:55 2021 max relations containing the same ideal: 39
  65. Sun Jun 13 09:15:59 2021 reading ideals above 720000
  66. Sun Jun 13 09:15:59 2021 commencing singleton removal, initial pass
  67. Sun Jun 13 09:23:36 2021 memory use: 753.0 MB
  68. Sun Jun 13 09:23:36 2021 reading all ideals from disk
  69. Sun Jun 13 09:23:38 2021 memory use: 1375.3 MB
  70. Sun Jun 13 09:23:43 2021 keeping 30347002 ideals with weight <= 200, target excess is 202835
  71. Sun Jun 13 09:23:47 2021 commencing in-memory singleton removal
  72. Sun Jun 13 09:23:51 2021 begin with 38681525 relations and 30347002 unique ideals
  73. Sun Jun 13 09:24:06 2021 reduce to 38681482 relations and 30346905 ideals in 4 passes
  74. Sun Jun 13 09:24:06 2021 max relations containing the same ideal: 200
  75. Sun Jun 13 09:24:26 2021 removing 4354541 relations and 3354541 ideals in 1000000 cliques
  76. Sun Jun 13 09:24:28 2021 commencing in-memory singleton removal
  77. Sun Jun 13 09:24:32 2021 begin with 34326941 relations and 30346905 unique ideals
  78. Sun Jun 13 09:25:00 2021 reduce to 33825038 relations and 26474488 ideals in 9 passes
  79. Sun Jun 13 09:25:00 2021 max relations containing the same ideal: 192
  80. Sun Jun 13 09:25:18 2021 removing 3532802 relations and 2532802 ideals in 1000000 cliques
  81. Sun Jun 13 09:25:19 2021 commencing in-memory singleton removal
  82. Sun Jun 13 09:25:23 2021 begin with 30292236 relations and 26474488 unique ideals
  83. Sun Jun 13 09:25:43 2021 reduce to 29991454 relations and 23631822 ideals in 7 passes
  84. Sun Jun 13 09:25:43 2021 max relations containing the same ideal: 180
  85. Sun Jun 13 09:25:59 2021 removing 3208493 relations and 2208493 ideals in 1000000 cliques
  86. Sun Jun 13 09:26:00 2021 commencing in-memory singleton removal
  87. Sun Jun 13 09:26:03 2021 begin with 26782961 relations and 23631822 unique ideals
  88. Sun Jun 13 09:26:20 2021 reduce to 26517603 relations and 21149608 ideals in 7 passes
  89. Sun Jun 13 09:26:20 2021 max relations containing the same ideal: 164
  90. Sun Jun 13 09:26:35 2021 removing 3068930 relations and 2068930 ideals in 1000000 cliques
  91. Sun Jun 13 09:26:36 2021 commencing in-memory singleton removal
  92. Sun Jun 13 09:26:39 2021 begin with 23448673 relations and 21149608 unique ideals
  93. Sun Jun 13 09:26:54 2021 reduce to 23188950 relations and 18812065 ideals in 7 passes
  94. Sun Jun 13 09:26:54 2021 max relations containing the same ideal: 154
  95. Sun Jun 13 09:27:07 2021 removing 2992927 relations and 1992927 ideals in 1000000 cliques
  96. Sun Jun 13 09:27:08 2021 commencing in-memory singleton removal
  97. Sun Jun 13 09:27:10 2021 begin with 20196023 relations and 18812065 unique ideals
  98. Sun Jun 13 09:27:23 2021 reduce to 19927853 relations and 16540710 ideals in 7 passes
  99. Sun Jun 13 09:27:23 2021 max relations containing the same ideal: 136
  100. Sun Jun 13 09:27:34 2021 removing 2947194 relations and 1947194 ideals in 1000000 cliques
  101. Sun Jun 13 09:27:35 2021 commencing in-memory singleton removal
  102. Sun Jun 13 09:27:37 2021 begin with 16980659 relations and 16540710 unique ideals
  103. Sun Jun 13 09:27:48 2021 reduce to 16690745 relations and 14290911 ideals in 7 passes
  104. Sun Jun 13 09:27:48 2021 max relations containing the same ideal: 119
  105. Sun Jun 13 09:27:58 2021 removing 2925066 relations and 1925066 ideals in 1000000 cliques
  106. Sun Jun 13 09:27:59 2021 commencing in-memory singleton removal
  107. Sun Jun 13 09:28:00 2021 begin with 13765679 relations and 14290911 unique ideals
  108. Sun Jun 13 09:28:09 2021 reduce to 13438172 relations and 12021444 ideals in 8 passes
  109. Sun Jun 13 09:28:09 2021 max relations containing the same ideal: 105
  110. Sun Jun 13 09:28:18 2021 removing 2904295 relations and 1904295 ideals in 1000000 cliques
  111. Sun Jun 13 09:28:19 2021 commencing in-memory singleton removal
  112. Sun Jun 13 09:28:20 2021 begin with 10533877 relations and 12021444 unique ideals
  113. Sun Jun 13 09:28:26 2021 reduce to 10140755 relations and 9698521 ideals in 7 passes
  114. Sun Jun 13 09:28:26 2021 max relations containing the same ideal: 84
  115. Sun Jun 13 09:28:32 2021 removing 814398 relations and 607453 ideals in 206945 cliques
  116. Sun Jun 13 09:28:32 2021 commencing in-memory singleton removal
  117. Sun Jun 13 09:28:33 2021 begin with 9326357 relations and 9698521 unique ideals
  118. Sun Jun 13 09:28:39 2021 reduce to 9274431 relations and 9038120 ideals in 7 passes
  119. Sun Jun 13 09:28:39 2021 max relations containing the same ideal: 80
  120. Sun Jun 13 09:28:46 2021 relations with 0 large ideals: 15090
  121. Sun Jun 13 09:28:46 2021 relations with 1 large ideals: 3298
  122. Sun Jun 13 09:28:46 2021 relations with 2 large ideals: 25144
  123. Sun Jun 13 09:28:46 2021 relations with 3 large ideals: 182173
  124. Sun Jun 13 09:28:46 2021 relations with 4 large ideals: 718689
  125. Sun Jun 13 09:28:46 2021 relations with 5 large ideals: 1662790
  126. Sun Jun 13 09:28:46 2021 relations with 6 large ideals: 2398650
  127. Sun Jun 13 09:28:46 2021 relations with 7+ large ideals: 4268597
  128. Sun Jun 13 09:28:46 2021 commencing 2-way merge
  129. Sun Jun 13 09:28:53 2021 reduce to 6219133 relation sets and 5982822 unique ideals
  130. Sun Jun 13 09:28:53 2021 commencing full merge
  131. Sun Jun 13 09:31:50 2021 memory use: 851.3 MB
  132. Sun Jun 13 09:31:51 2021 found 2968272 cycles, need 2945022
  133. Sun Jun 13 09:31:52 2021 weight of 2945022 cycles is about 294594198 (100.03/cycle)
  134. Sun Jun 13 09:31:52 2021 distribution of cycle lengths:
  135. Sun Jun 13 09:31:52 2021 1 relations: 151470
  136. Sun Jun 13 09:31:52 2021 2 relations: 196753
  137. Sun Jun 13 09:31:52 2021 3 relations: 230628
  138. Sun Jun 13 09:31:52 2021 4 relations: 241064
  139. Sun Jun 13 09:31:52 2021 5 relations: 246208
  140. Sun Jun 13 09:31:52 2021 6 relations: 243771
  141. Sun Jun 13 09:31:52 2021 7 relations: 234670
  142. Sun Jun 13 09:31:52 2021 8 relations: 218994
  143. Sun Jun 13 09:31:52 2021 9 relations: 199383
  144. Sun Jun 13 09:31:52 2021 10+ relations: 982081
  145. Sun Jun 13 09:31:52 2021 heaviest cycle: 28 relations
  146. Sun Jun 13 09:31:53 2021 commencing cycle optimization
  147. Sun Jun 13 09:31:59 2021 start with 23449891 relations
  148. Sun Jun 13 09:33:07 2021 pruned 1039923 relations
  149. Sun Jun 13 09:33:07 2021 memory use: 628.5 MB
  150. Sun Jun 13 09:33:07 2021 distribution of cycle lengths:
  151. Sun Jun 13 09:33:07 2021 1 relations: 151470
  152. Sun Jun 13 09:33:07 2021 2 relations: 201125
  153. Sun Jun 13 09:33:07 2021 3 relations: 239560
  154. Sun Jun 13 09:33:07 2021 4 relations: 250963
  155. Sun Jun 13 09:33:07 2021 5 relations: 258698
  156. Sun Jun 13 09:33:07 2021 6 relations: 255889
  157. Sun Jun 13 09:33:07 2021 7 relations: 247192
  158. Sun Jun 13 09:33:07 2021 8 relations: 228842
  159. Sun Jun 13 09:33:07 2021 9 relations: 207673
  160. Sun Jun 13 09:33:07 2021 10+ relations: 903610
  161. Sun Jun 13 09:33:07 2021 heaviest cycle: 28 relations
  162. Sun Jun 13 09:33:11 2021 RelProcTime: 2436
  163. Sun Jun 13 09:33:11 2021
  164. Sun Jun 13 09:33:11 2021 commencing linear algebra
  165. Sun Jun 13 09:33:12 2021 read 2945022 cycles
  166. Sun Jun 13 09:33:19 2021 cycles contain 9153043 unique relations
  167. Sun Jun 13 09:34:50 2021 read 9153043 relations
  168. Sun Jun 13 09:35:08 2021 using 20 quadratic characters above 4294917295
  169. Sun Jun 13 09:36:10 2021 building initial matrix
  170. Sun Jun 13 09:38:30 2021 memory use: 1138.7 MB
  171. Sun Jun 13 09:38:34 2021 read 2945022 cycles
  172. Sun Jun 13 09:38:34 2021 matrix is 2944845 x 2945022 (1178.3 MB) with weight 337047225 (114.45/col)
  173. Sun Jun 13 09:38:34 2021 sparse part has weight 276497415 (93.89/col)
  174. Sun Jun 13 09:39:09 2021 filtering completed in 2 passes
  175. Sun Jun 13 09:39:10 2021 matrix is 2944743 x 2944920 (1178.3 MB) with weight 337043839 (114.45/col)
  176. Sun Jun 13 09:39:10 2021 sparse part has weight 276496151 (93.89/col)
  177. Sun Jun 13 09:39:18 2021 matrix starts at (0, 0)
  178. Sun Jun 13 09:39:18 2021 matrix is 2944743 x 2944920 (1178.3 MB) with weight 337043839 (114.45/col)
  179. Sun Jun 13 09:39:18 2021 sparse part has weight 276496151 (93.89/col)
  180. Sun Jun 13 09:39:18 2021 saving the first 48 matrix rows for later
  181. Sun Jun 13 09:39:20 2021 matrix includes 64 packed rows
  182. Sun Jun 13 09:39:20 2021 matrix is 2944695 x 2944920 (1122.0 MB) with weight 285160161 (96.83/col)
  183. Sun Jun 13 09:39:20 2021 sparse part has weight 264676861 (89.88/col)
  184. Sun Jun 13 09:39:20 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  185. Sun Jun 13 09:39:38 2021 commencing Lanczos iteration (6 threads)
  186. Sun Jun 13 09:39:38 2021 memory use: 933.1 MB
  187. Sun Jun 13 09:39:50 2021 linear algebra at 0.1%, ETA 5h57m
  188. Sun Jun 13 09:39:53 2021 checkpointing every 520000 dimensions
  189. Sun Jun 13 15:46:59 2021 lanczos halted after 46571 iterations (dim = 2944695)
  190. Sun Jun 13 15:47:03 2021 recovered 40 nontrivial dependencies
  191. Sun Jun 13 15:47:04 2021 BLanczosTime: 22433
  192. Sun Jun 13 15:47:04 2021
  193. Sun Jun 13 15:47:04 2021 commencing square root phase
  194. Sun Jun 13 15:47:04 2021 handling dependencies 1 to 64
  195. Sun Jun 13 15:47:04 2021 reading relations for dependency 1
  196. Sun Jun 13 15:47:04 2021 read 1472145 cycles
  197. Sun Jun 13 15:47:08 2021 cycles contain 4576750 unique relations
  198. Sun Jun 13 15:48:00 2021 read 4576750 relations
  199. Sun Jun 13 15:48:25 2021 multiplying 4576750 relations
  200. Sun Jun 13 15:51:27 2021 multiply complete, coefficients have about 108.56 million bits
  201. Sun Jun 13 15:51:28 2021 initial square root is modulo 62003581
  202. Sun Jun 13 15:54:30 2021 sqrtTime: 446
  203. Sun Jun 13 15:54:30 2021 p62 factor: 11410235838651202504403579502806322301583775145521335910571027
  204. Sun Jun 13 15:54:30 2021 p119 factor: 20579983585519234351994440494426182366014745957139490564266904343134147681122268423542658404613590264772463977170015079
  205. Sun Jun 13 15:54:30 2021 elapsed time 07:01:57
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