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Msieve log of C159_903872_1882

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Apr 8th, 2022
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  1. Thu Apr 07 08:02:15 2022
  2. Thu Apr 07 08:02:15 2022
  3. Thu Apr 07 08:02:15 2022 Msieve v. 1.53 (SVN 988)
  4. Thu Apr 07 08:02:15 2022 random seeds: 68dbd668 852d9c4b
  5. Thu Apr 07 08:02:15 2022 factoring 334315427804188344213322179448257366995017865853997631625042625929189624125778444334468851145430432165596300063759039321511137064486438760595028420871692754739 (159 digits)
  6. Thu Apr 07 08:02:16 2022 searching for 15-digit factors
  7. Thu Apr 07 08:02:17 2022 commencing number field sieve (159-digit input)
  8. Thu Apr 07 08:02:17 2022 R0: -8170767932743701135044544814548
  9. Thu Apr 07 08:02:17 2022 R1: 79358508643338563
  10. Thu Apr 07 08:02:17 2022 A0: -571809742413139189340412062799126596215
  11. Thu Apr 07 08:02:17 2022 A1: 1707816867759135666643713968745466
  12. Thu Apr 07 08:02:17 2022 A2: 706278058518711373886004298
  13. Thu Apr 07 08:02:17 2022 A3: 20324313076111994126
  14. Thu Apr 07 08:02:17 2022 A4: -1396081952247
  15. Thu Apr 07 08:02:17 2022 A5: 9180
  16. Thu Apr 07 08:02:17 2022 skew 20801142.56, size 2.055e-015, alpha -7.834, combined = 1.707e-012 rroots = 5
  17. Thu Apr 07 08:02:17 2022
  18. Thu Apr 07 08:02:17 2022 commencing relation filtering
  19. Thu Apr 07 08:02:17 2022 setting max relations to 140000000
  20. Thu Apr 07 08:02:17 2022 setting target matrix density to 130.0
  21. Thu Apr 07 08:02:17 2022 estimated available RAM is 16151.1 MB
  22. Thu Apr 07 08:02:17 2022 commencing duplicate removal, pass 1
  23. Thu Apr 07 08:08:34 2022 error -15 reading relation 30883333
  24. Thu Apr 07 08:11:29 2022 error -15 reading relation 45291740
  25. Thu Apr 07 08:12:45 2022 error -1 reading relation 51532659
  26. Thu Apr 07 08:13:50 2022 error -15 reading relation 56823285
  27. Thu Apr 07 08:15:33 2022 error -15 reading relation 65300636
  28. Thu Apr 07 08:21:36 2022 error -15 reading relation 95057431
  29. Thu Apr 07 08:22:16 2022 error -15 reading relation 98360770
  30. Thu Apr 07 08:23:13 2022 error -9 reading relation 102968354
  31. Thu Apr 07 08:23:23 2022 error -9 reading relation 103843459
  32. Thu Apr 07 08:23:31 2022 error -15 reading relation 104450797
  33. Thu Apr 07 08:24:50 2022 error -5 reading relation 110911091
  34. Thu Apr 07 08:27:24 2022 error -9 reading relation 123513714
  35. Thu Apr 07 08:29:07 2022 error -5 reading relation 133276573
  36. Thu Apr 07 08:29:38 2022 error -9 reading relation 136442295
  37. Thu Apr 07 08:29:38 2022 error -1 reading relation 136465658
  38. Thu Apr 07 08:30:12 2022 skipped 8 relations with composite factors
  39. Thu Apr 07 08:30:12 2022 found 27459547 hash collisions in 139999977 relations
  40. Thu Apr 07 08:30:12 2022 commencing duplicate removal, pass 2
  41. Thu Apr 07 08:32:01 2022 found 28493843 duplicates and 111506134 unique relations
  42. Thu Apr 07 08:32:01 2022 memory use: 852.8 MB
  43. Thu Apr 07 08:32:01 2022 reading ideals above 69926912
  44. Thu Apr 07 08:32:01 2022 commencing singleton removal, initial pass
  45. Thu Apr 07 08:48:29 2022 memory use: 2756.0 MB
  46. Thu Apr 07 08:48:29 2022 reading all ideals from disk
  47. Thu Apr 07 08:48:35 2022 memory use: 1882.3 MB
  48. Thu Apr 07 08:48:41 2022 commencing in-memory singleton removal
  49. Thu Apr 07 08:48:47 2022 begin with 111506134 relations and 84593899 unique ideals
  50. Thu Apr 07 08:49:45 2022 reduce to 80124798 relations and 50567136 ideals in 12 passes
  51. Thu Apr 07 08:49:45 2022 max relations containing the same ideal: 56
  52. Thu Apr 07 08:49:54 2022 reading ideals above 720000
  53. Thu Apr 07 08:49:55 2022 commencing singleton removal, initial pass
  54. Thu Apr 07 09:07:56 2022 memory use: 1506.0 MB
  55. Thu Apr 07 09:07:56 2022 reading all ideals from disk
  56. Thu Apr 07 09:08:04 2022 memory use: 2937.8 MB
  57. Thu Apr 07 09:08:17 2022 keeping 58368912 ideals with weight <= 200, target excess is 426266
  58. Thu Apr 07 09:08:29 2022 commencing in-memory singleton removal
  59. Thu Apr 07 09:08:38 2022 begin with 80124798 relations and 58368912 unique ideals
  60. Thu Apr 07 09:09:44 2022 reduce to 80123662 relations and 58367776 ideals in 6 passes
  61. Thu Apr 07 09:09:44 2022 max relations containing the same ideal: 200
  62. Thu Apr 07 09:10:34 2022 removing 7889843 relations and 5889843 ideals in 2000000 cliques
  63. Thu Apr 07 09:10:37 2022 commencing in-memory singleton removal
  64. Thu Apr 07 09:10:45 2022 begin with 72233819 relations and 58367776 unique ideals
  65. Thu Apr 07 09:11:53 2022 reduce to 71622780 relations and 51848139 ideals in 7 passes
  66. Thu Apr 07 09:11:53 2022 max relations containing the same ideal: 195
  67. Thu Apr 07 09:12:34 2022 removing 6271572 relations and 4271572 ideals in 2000000 cliques
  68. Thu Apr 07 09:12:37 2022 commencing in-memory singleton removal
  69. Thu Apr 07 09:12:44 2022 begin with 65351208 relations and 51848139 unique ideals
  70. Thu Apr 07 09:13:36 2022 reduce to 64935020 relations and 47148943 ideals in 6 passes
  71. Thu Apr 07 09:13:36 2022 max relations containing the same ideal: 183
  72. Thu Apr 07 09:14:16 2022 removing 5840811 relations and 3840811 ideals in 2000000 cliques
  73. Thu Apr 07 09:14:19 2022 commencing in-memory singleton removal
  74. Thu Apr 07 09:14:25 2022 begin with 59094209 relations and 47148943 unique ideals
  75. Thu Apr 07 09:15:24 2022 reduce to 58728884 relations and 42932611 ideals in 8 passes
  76. Thu Apr 07 09:15:24 2022 max relations containing the same ideal: 176
  77. Thu Apr 07 09:15:57 2022 removing 5621990 relations and 3621990 ideals in 2000000 cliques
  78. Thu Apr 07 09:15:59 2022 commencing in-memory singleton removal
  79. Thu Apr 07 09:16:06 2022 begin with 53106894 relations and 42932611 unique ideals
  80. Thu Apr 07 09:16:47 2022 reduce to 52758202 relations and 38951239 ideals in 6 passes
  81. Thu Apr 07 09:16:47 2022 max relations containing the same ideal: 163
  82. Thu Apr 07 09:17:22 2022 removing 5483792 relations and 3483792 ideals in 2000000 cliques
  83. Thu Apr 07 09:17:24 2022 commencing in-memory singleton removal
  84. Thu Apr 07 09:17:29 2022 begin with 47274410 relations and 38951239 unique ideals
  85. Thu Apr 07 09:18:10 2022 reduce to 46927642 relations and 35109228 ideals in 7 passes
  86. Thu Apr 07 09:18:10 2022 max relations containing the same ideal: 150
  87. Thu Apr 07 09:18:40 2022 removing 5391696 relations and 3391696 ideals in 2000000 cliques
  88. Thu Apr 07 09:18:42 2022 commencing in-memory singleton removal
  89. Thu Apr 07 09:18:47 2022 begin with 41535946 relations and 35109228 unique ideals
  90. Thu Apr 07 09:19:26 2022 reduce to 41175452 relations and 31344049 ideals in 7 passes
  91. Thu Apr 07 09:19:26 2022 max relations containing the same ideal: 138
  92. Thu Apr 07 09:19:52 2022 removing 5332759 relations and 3332759 ideals in 2000000 cliques
  93. Thu Apr 07 09:19:55 2022 commencing in-memory singleton removal
  94. Thu Apr 07 09:19:59 2022 begin with 35842693 relations and 31344049 unique ideals
  95. Thu Apr 07 09:20:26 2022 reduce to 35455339 relations and 27608376 ideals in 6 passes
  96. Thu Apr 07 09:20:26 2022 max relations containing the same ideal: 124
  97. Thu Apr 07 09:20:51 2022 removing 5296093 relations and 3296093 ideals in 2000000 cliques
  98. Thu Apr 07 09:20:53 2022 commencing in-memory singleton removal
  99. Thu Apr 07 09:20:56 2022 begin with 30159246 relations and 27608376 unique ideals
  100. Thu Apr 07 09:21:23 2022 reduce to 29726310 relations and 23859258 ideals in 7 passes
  101. Thu Apr 07 09:21:23 2022 max relations containing the same ideal: 112
  102. Thu Apr 07 09:21:42 2022 removing 5280339 relations and 3280339 ideals in 2000000 cliques
  103. Thu Apr 07 09:21:44 2022 commencing in-memory singleton removal
  104. Thu Apr 07 09:21:47 2022 begin with 24445971 relations and 23859258 unique ideals
  105. Thu Apr 07 09:22:08 2022 reduce to 23943392 relations and 20048934 ideals in 7 passes
  106. Thu Apr 07 09:22:08 2022 max relations containing the same ideal: 94
  107. Thu Apr 07 09:22:25 2022 removing 5279536 relations and 3279536 ideals in 2000000 cliques
  108. Thu Apr 07 09:22:27 2022 commencing in-memory singleton removal
  109. Thu Apr 07 09:22:29 2022 begin with 18663856 relations and 20048934 unique ideals
  110. Thu Apr 07 09:22:46 2022 reduce to 18041635 relations and 16105190 ideals in 8 passes
  111. Thu Apr 07 09:22:46 2022 max relations containing the same ideal: 78
  112. Thu Apr 07 09:22:59 2022 removing 4006794 relations and 2564818 ideals in 1441976 cliques
  113. Thu Apr 07 09:23:01 2022 commencing in-memory singleton removal
  114. Thu Apr 07 09:23:02 2022 begin with 14034841 relations and 16105190 unique ideals
  115. Thu Apr 07 09:23:16 2022 reduce to 13478034 relations and 12945315 ideals in 8 passes
  116. Thu Apr 07 09:23:16 2022 max relations containing the same ideal: 67
  117. Thu Apr 07 09:23:24 2022 removing 211251 relations and 173001 ideals in 38250 cliques
  118. Thu Apr 07 09:23:25 2022 commencing in-memory singleton removal
  119. Thu Apr 07 09:23:26 2022 begin with 13266783 relations and 12945315 unique ideals
  120. Thu Apr 07 09:23:34 2022 reduce to 13263835 relations and 12769359 ideals in 5 passes
  121. Thu Apr 07 09:23:34 2022 max relations containing the same ideal: 66
  122. Thu Apr 07 09:23:37 2022 relations with 0 large ideals: 0
  123. Thu Apr 07 09:23:37 2022 relations with 1 large ideals: 8574
  124. Thu Apr 07 09:23:37 2022 relations with 2 large ideals: 125073
  125. Thu Apr 07 09:23:37 2022 relations with 3 large ideals: 700143
  126. Thu Apr 07 09:23:37 2022 relations with 4 large ideals: 2025492
  127. Thu Apr 07 09:23:37 2022 relations with 5 large ideals: 3397218
  128. Thu Apr 07 09:23:37 2022 relations with 6 large ideals: 3511983
  129. Thu Apr 07 09:23:37 2022 relations with 7+ large ideals: 3495352
  130. Thu Apr 07 09:23:37 2022 commencing 2-way merge
  131. Thu Apr 07 09:23:49 2022 reduce to 8899639 relation sets and 8405163 unique ideals
  132. Thu Apr 07 09:23:49 2022 commencing full merge
  133. Thu Apr 07 09:28:04 2022 memory use: 1050.0 MB
  134. Thu Apr 07 09:28:06 2022 found 3887844 cycles, need 3865363
  135. Thu Apr 07 09:28:07 2022 weight of 3865363 cycles is about 502779868 (130.07/cycle)
  136. Thu Apr 07 09:28:07 2022 distribution of cycle lengths:
  137. Thu Apr 07 09:28:07 2022 1 relations: 88231
  138. Thu Apr 07 09:28:07 2022 2 relations: 180165
  139. Thu Apr 07 09:28:07 2022 3 relations: 237087
  140. Thu Apr 07 09:28:07 2022 4 relations: 266274
  141. Thu Apr 07 09:28:07 2022 5 relations: 290095
  142. Thu Apr 07 09:28:07 2022 6 relations: 295256
  143. Thu Apr 07 09:28:07 2022 7 relations: 294871
  144. Thu Apr 07 09:28:07 2022 8 relations: 284716
  145. Thu Apr 07 09:28:07 2022 9 relations: 267384
  146. Thu Apr 07 09:28:07 2022 10+ relations: 1661284
  147. Thu Apr 07 09:28:07 2022 heaviest cycle: 28 relations
  148. Thu Apr 07 09:28:09 2022 commencing cycle optimization
  149. Thu Apr 07 09:28:21 2022 start with 36351981 relations
  150. Thu Apr 07 09:30:41 2022 pruned 2026342 relations
  151. Thu Apr 07 09:30:41 2022 memory use: 921.5 MB
  152. Thu Apr 07 09:30:41 2022 distribution of cycle lengths:
  153. Thu Apr 07 09:30:41 2022 1 relations: 88231
  154. Thu Apr 07 09:30:41 2022 2 relations: 186071
  155. Thu Apr 07 09:30:41 2022 3 relations: 249012
  156. Thu Apr 07 09:30:41 2022 4 relations: 280043
  157. Thu Apr 07 09:30:41 2022 5 relations: 308979
  158. Thu Apr 07 09:30:41 2022 6 relations: 314936
  159. Thu Apr 07 09:30:41 2022 7 relations: 315812
  160. Thu Apr 07 09:30:41 2022 8 relations: 303099
  161. Thu Apr 07 09:30:41 2022 9 relations: 283260
  162. Thu Apr 07 09:30:41 2022 10+ relations: 1535920
  163. Thu Apr 07 09:30:41 2022 heaviest cycle: 28 relations
  164. Thu Apr 07 09:30:50 2022 RelProcTime: 5313
  165. Thu Apr 07 09:30:50 2022
  166. Thu Apr 07 09:30:50 2022 commencing linear algebra
  167. Thu Apr 07 09:30:51 2022 read 3865363 cycles
  168. Thu Apr 07 09:31:03 2022 cycles contain 13025904 unique relations
  169. Thu Apr 07 09:33:31 2022 read 13025904 relations
  170. Thu Apr 07 09:34:00 2022 using 20 quadratic characters above 4294917295
  171. Thu Apr 07 09:35:14 2022 building initial matrix
  172. Thu Apr 07 09:39:54 2022 memory use: 1821.0 MB
  173. Thu Apr 07 09:40:00 2022 read 3865363 cycles
  174. Thu Apr 07 09:40:01 2022 matrix is 3865185 x 3865363 (1933.9 MB) with weight 595042959 (153.94/col)
  175. Thu Apr 07 09:40:01 2022 sparse part has weight 460581981 (119.16/col)
  176. Thu Apr 07 09:41:03 2022 filtering completed in 2 passes
  177. Thu Apr 07 09:41:04 2022 matrix is 3865110 x 3865288 (1933.9 MB) with weight 595038489 (153.94/col)
  178. Thu Apr 07 09:41:04 2022 sparse part has weight 460580330 (119.16/col)
  179. Thu Apr 07 09:41:21 2022 matrix starts at (0, 0)
  180. Thu Apr 07 09:41:22 2022 matrix is 3865110 x 3865288 (1933.9 MB) with weight 595038489 (153.94/col)
  181. Thu Apr 07 09:41:22 2022 sparse part has weight 460580330 (119.16/col)
  182. Thu Apr 07 09:41:22 2022 saving the first 48 matrix rows for later
  183. Thu Apr 07 09:41:24 2022 matrix includes 64 packed rows
  184. Thu Apr 07 09:41:25 2022 matrix is 3865062 x 3865288 (1885.6 MB) with weight 511629828 (132.37/col)
  185. Thu Apr 07 09:41:25 2022 sparse part has weight 455653064 (117.88/col)
  186. Thu Apr 07 09:41:25 2022 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  187. Thu Apr 07 09:41:56 2022 commencing Lanczos iteration (6 threads)
  188. Thu Apr 07 09:41:56 2022 memory use: 1551.9 MB
  189. Thu Apr 07 09:42:14 2022 linear algebra at 0.0%, ETA 12h 2m
  190. Thu Apr 07 09:42:20 2022 checkpointing every 320000 dimensions
  191. Thu Apr 07 23:17:36 2022 lanczos halted after 61124 iterations (dim = 3865059)
  192. Thu Apr 07 23:17:42 2022 recovered 28 nontrivial dependencies
  193. Thu Apr 07 23:17:43 2022 BLanczosTime: 49613
  194. Thu Apr 07 23:17:43 2022
  195. Thu Apr 07 23:17:43 2022 commencing square root phase
  196. Thu Apr 07 23:17:43 2022 handling dependencies 1 to 64
  197. Thu Apr 07 23:17:43 2022 reading relations for dependency 1
  198. Thu Apr 07 23:17:45 2022 read 1931774 cycles
  199. Thu Apr 07 23:17:51 2022 cycles contain 6511198 unique relations
  200. Thu Apr 07 23:19:12 2022 read 6511198 relations
  201. Thu Apr 07 23:20:00 2022 multiplying 6511198 relations
  202. Thu Apr 07 23:27:29 2022 multiply complete, coefficients have about 333.21 million bits
  203. Thu Apr 07 23:27:31 2022 initial square root is modulo 952513
  204. Thu Apr 07 23:36:14 2022 sqrtTime: 1111
  205. Thu Apr 07 23:36:14 2022 p78 factor: 982852754101559277574160481542054761025137570972852551686406975443395572399371
  206. Thu Apr 07 23:36:14 2022 p81 factor: 340148029711521931643838011737531514862816453066480603815167373979517749777772409
  207. Thu Apr 07 23:36:14 2022 elapsed time 15:33:59
  208.  
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