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Msieve log of 8p7_292

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Jun 11th, 2022
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  1. Thu May 26 23:54:52 2022
  2. Thu May 26 23:54:52 2022
  3. Thu May 26 23:54:52 2022 Msieve v. 1.53 (SVN unknown)
  4. Thu May 26 23:54:52 2022 random seeds: 5b4858e8 10393538
  5. Thu May 26 23:54:52 2022 factoring 474377312845714036494730860786888346696933298099726025041402270341913296488453454285047942962414364721134414019634036757735423878317481941527080253498816527130617822483052630590856358782308389828169 (198 digits)
  6. Thu May 26 23:54:53 2022 searching for 15-digit factors
  7. Thu May 26 23:54:54 2022 commencing number field sieve (198-digit input)
  8. Thu May 26 23:54:54 2022 R0: 44601490397061246283071436545296723011960832
  9. Thu May 26 23:54:54 2022 R1: -256923577521058878088611477224235621321607
  10. Thu May 26 23:54:54 2022 A0: 1
  11. Thu May 26 23:54:54 2022 A1: 0
  12. Thu May 26 23:54:54 2022 A2: 0
  13. Thu May 26 23:54:54 2022 A3: 0
  14. Thu May 26 23:54:54 2022 A4: 0
  15. Thu May 26 23:54:54 2022 A5: 0
  16. Thu May 26 23:54:54 2022 A6: 3136
  17. Thu May 26 23:54:54 2022 skew 0.26, size 3.398e-13, alpha 0.109, combined = 5.270e-14 rroots = 0
  18. Thu May 26 23:54:54 2022
  19. Thu May 26 23:54:54 2022 commencing relation filtering
  20. Thu May 26 23:54:54 2022 setting target matrix density to 120.0
  21. Thu May 26 23:54:54 2022 estimated available RAM is 32721.3 MB
  22. Thu May 26 23:54:54 2022 commencing duplicate removal, pass 1
  23. Thu May 26 23:57:01 2022 error -15 reading relation 9077299
  24. Thu May 26 23:58:40 2022 error -9 reading relation 16084581
  25. Thu May 26 23:58:40 2022 error -9 reading relation 16101233
  26. Fri May 27 00:00:41 2022 error -9 reading relation 24701220
  27. Fri May 27 01:34:09 2022 error -5 reading relation 423456633
  28. Fri May 27 01:34:10 2022 error -9 reading relation 423573673
  29. Fri May 27 01:34:21 2022 error -9 reading relation 424354385
  30. Fri May 27 01:34:23 2022 error -15 reading relation 424461307
  31. Fri May 27 01:34:37 2022 error -15 reading relation 425477468
  32. Fri May 27 01:34:57 2022 error -15 reading relation 426886217
  33. Fri May 27 01:38:37 2022 skipped 12196 relations with b > 2^32
  34. Fri May 27 01:38:37 2022 skipped 103 relations with composite factors
  35. Fri May 27 01:38:37 2022 found 100567612 hash collisions in 441246426 relations
  36. Fri May 27 01:38:58 2022 commencing duplicate removal, pass 2
  37. Fri May 27 01:46:50 2022 found 97846120 duplicates and 343400306 unique relations
  38. Fri May 27 01:46:50 2022 memory use: 2387.0 MB
  39. Fri May 27 01:46:50 2022 reading ideals above 210960384
  40. Fri May 27 01:46:50 2022 commencing singleton removal, initial pass
  41. Fri May 27 02:47:42 2022 memory use: 6024.0 MB
  42. Fri May 27 02:47:42 2022 reading all ideals from disk
  43. Fri May 27 02:48:26 2022 memory use: 6267.9 MB
  44. Fri May 27 02:48:42 2022 commencing in-memory singleton removal
  45. Fri May 27 02:48:58 2022 begin with 343400306 relations and 309132049 unique ideals
  46. Fri May 27 02:52:00 2022 reduce to 200953106 relations and 149946218 ideals in 17 passes
  47. Fri May 27 02:52:00 2022 max relations containing the same ideal: 49
  48. Fri May 27 02:52:19 2022 reading ideals above 720000
  49. Fri May 27 02:52:19 2022 commencing singleton removal, initial pass
  50. Fri May 27 03:52:42 2022 memory use: 5512.0 MB
  51. Fri May 27 03:52:42 2022 reading all ideals from disk
  52. Fri May 27 03:54:07 2022 memory use: 8381.2 MB
  53. Fri May 27 03:54:34 2022 keeping 172191557 ideals with weight <= 200, target excess is 1055271
  54. Fri May 27 03:55:05 2022 commencing in-memory singleton removal
  55. Fri May 27 03:55:25 2022 begin with 200953106 relations and 172191557 unique ideals
  56. Fri May 27 03:57:52 2022 reduce to 200947597 relations and 172186048 ideals in 7 passes
  57. Fri May 27 03:57:52 2022 max relations containing the same ideal: 200
  58. Fri May 27 03:59:38 2022 removing 14854383 relations and 12854383 ideals in 2000000 cliques
  59. Fri May 27 03:59:43 2022 commencing in-memory singleton removal
  60. Fri May 27 04:00:02 2022 begin with 186093214 relations and 172186048 unique ideals
  61. Fri May 27 04:02:40 2022 reduce to 185197696 relations and 158423478 ideals in 8 passes
  62. Fri May 27 04:02:40 2022 max relations containing the same ideal: 197
  63. Fri May 27 04:04:19 2022 removing 11114236 relations and 9114236 ideals in 2000000 cliques
  64. Fri May 27 04:04:24 2022 commencing in-memory singleton removal
  65. Fri May 27 04:04:41 2022 begin with 174083460 relations and 158423478 unique ideals
  66. Fri May 27 04:07:07 2022 reduce to 173521858 relations and 148741115 ideals in 8 passes
  67. Fri May 27 04:07:07 2022 max relations containing the same ideal: 192
  68. Fri May 27 04:08:39 2022 removing 9950412 relations and 7950412 ideals in 2000000 cliques
  69. Fri May 27 04:08:43 2022 commencing in-memory singleton removal
  70. Fri May 27 04:09:00 2022 begin with 163571446 relations and 148741115 unique ideals
  71. Fri May 27 04:11:33 2022 reduce to 163088853 relations and 140302606 ideals in 9 passes
  72. Fri May 27 04:11:33 2022 max relations containing the same ideal: 185
  73. Fri May 27 04:13:02 2022 removing 9331413 relations and 7331413 ideals in 2000000 cliques
  74. Fri May 27 04:13:06 2022 commencing in-memory singleton removal
  75. Fri May 27 04:13:21 2022 begin with 153757440 relations and 140302606 unique ideals
  76. Fri May 27 04:15:29 2022 reduce to 153306149 relations and 132514663 ideals in 8 passes
  77. Fri May 27 04:15:29 2022 max relations containing the same ideal: 178
  78. Fri May 27 04:16:51 2022 removing 8938798 relations and 6938798 ideals in 2000000 cliques
  79. Fri May 27 04:16:55 2022 commencing in-memory singleton removal
  80. Fri May 27 04:17:09 2022 begin with 144367351 relations and 132514663 unique ideals
  81. Fri May 27 04:19:07 2022 reduce to 143931259 relations and 125134617 ideals in 8 passes
  82. Fri May 27 04:19:07 2022 max relations containing the same ideal: 173
  83. Fri May 27 04:20:26 2022 removing 8675074 relations and 6675074 ideals in 2000000 cliques
  84. Fri May 27 04:20:29 2022 commencing in-memory singleton removal
  85. Fri May 27 04:20:42 2022 begin with 135256185 relations and 125134617 unique ideals
  86. Fri May 27 04:22:34 2022 reduce to 134820162 relations and 118017951 ideals in 8 passes
  87. Fri May 27 04:22:34 2022 max relations containing the same ideal: 170
  88. Fri May 27 04:23:46 2022 removing 8490222 relations and 6490222 ideals in 2000000 cliques
  89. Fri May 27 04:23:50 2022 commencing in-memory singleton removal
  90. Fri May 27 04:24:02 2022 begin with 126329940 relations and 118017951 unique ideals
  91. Fri May 27 04:25:33 2022 reduce to 125888827 relations and 111080608 ideals in 7 passes
  92. Fri May 27 04:25:33 2022 max relations containing the same ideal: 165
  93. Fri May 27 04:26:42 2022 removing 8361561 relations and 6361561 ideals in 2000000 cliques
  94. Fri May 27 04:26:45 2022 commencing in-memory singleton removal
  95. Fri May 27 04:26:57 2022 begin with 117527266 relations and 111080608 unique ideals
  96. Fri May 27 04:28:32 2022 reduce to 117073865 relations and 104259359 ideals in 8 passes
  97. Fri May 27 04:28:32 2022 max relations containing the same ideal: 154
  98. Fri May 27 04:29:36 2022 removing 8278426 relations and 6278426 ideals in 2000000 cliques
  99. Fri May 27 04:29:39 2022 commencing in-memory singleton removal
  100. Fri May 27 04:29:50 2022 begin with 108795439 relations and 104259359 unique ideals
  101. Fri May 27 04:31:06 2022 reduce to 108322135 relations and 97500531 ideals in 7 passes
  102. Fri May 27 04:31:06 2022 max relations containing the same ideal: 141
  103. Fri May 27 04:32:05 2022 removing 8228257 relations and 6228257 ideals in 2000000 cliques
  104. Fri May 27 04:32:08 2022 commencing in-memory singleton removal
  105. Fri May 27 04:32:18 2022 begin with 100093878 relations and 97500531 unique ideals
  106. Fri May 27 04:33:28 2022 reduce to 99593208 relations and 90763586 ideals in 7 passes
  107. Fri May 27 04:33:28 2022 max relations containing the same ideal: 136
  108. Fri May 27 04:34:24 2022 removing 8207446 relations and 6207446 ideals in 2000000 cliques
  109. Fri May 27 04:34:27 2022 commencing in-memory singleton removal
  110. Fri May 27 04:34:35 2022 begin with 91385762 relations and 90763586 unique ideals
  111. Fri May 27 04:35:47 2022 reduce to 90847834 relations and 84009041 ideals in 8 passes
  112. Fri May 27 04:35:47 2022 max relations containing the same ideal: 127
  113. Fri May 27 04:36:37 2022 removing 8212103 relations and 6212103 ideals in 2000000 cliques
  114. Fri May 27 04:36:40 2022 commencing in-memory singleton removal
  115. Fri May 27 04:36:48 2022 begin with 82635731 relations and 84009041 unique ideals
  116. Fri May 27 04:38:01 2022 reduce to 82047749 relations and 77198059 ideals in 9 passes
  117. Fri May 27 04:38:01 2022 max relations containing the same ideal: 117
  118. Fri May 27 04:38:47 2022 removing 8245695 relations and 6245695 ideals in 2000000 cliques
  119. Fri May 27 04:38:49 2022 commencing in-memory singleton removal
  120. Fri May 27 04:38:57 2022 begin with 73802054 relations and 77198059 unique ideals
  121. Fri May 27 04:40:02 2022 reduce to 73151238 relations and 70287926 ideals in 9 passes
  122. Fri May 27 04:40:02 2022 max relations containing the same ideal: 110
  123. Fri May 27 04:40:43 2022 removing 7079519 relations and 5440322 ideals in 1639197 cliques
  124. Fri May 27 04:40:45 2022 commencing in-memory singleton removal
  125. Fri May 27 04:40:51 2022 begin with 66071719 relations and 70287926 unique ideals
  126. Fri May 27 04:41:49 2022 reduce to 65544544 relations and 64310451 ideals in 9 passes
  127. Fri May 27 04:41:49 2022 max relations containing the same ideal: 102
  128. Fri May 27 04:42:26 2022 removing 93299 relations and 83321 ideals in 9978 cliques
  129. Fri May 27 04:42:27 2022 commencing in-memory singleton removal
  130. Fri May 27 04:42:33 2022 begin with 65451245 relations and 64310451 unique ideals
  131. Fri May 27 04:42:58 2022 reduce to 65451169 relations and 64227054 ideals in 4 passes
  132. Fri May 27 04:42:58 2022 max relations containing the same ideal: 102
  133. Fri May 27 04:43:15 2022 relations with 0 large ideals: 39370
  134. Fri May 27 04:43:15 2022 relations with 1 large ideals: 13887
  135. Fri May 27 04:43:15 2022 relations with 2 large ideals: 163851
  136. Fri May 27 04:43:15 2022 relations with 3 large ideals: 1187406
  137. Fri May 27 04:43:15 2022 relations with 4 large ideals: 4731383
  138. Fri May 27 04:43:15 2022 relations with 5 large ideals: 11275036
  139. Fri May 27 04:43:15 2022 relations with 6 large ideals: 16837570
  140. Fri May 27 04:43:15 2022 relations with 7+ large ideals: 31202666
  141. Fri May 27 04:43:15 2022 commencing 2-way merge
  142. Fri May 27 04:44:04 2022 reduce to 40671482 relation sets and 39447367 unique ideals
  143. Fri May 27 04:44:04 2022 commencing full merge
  144. Fri May 27 05:05:10 2022 memory use: 5324.9 MB
  145. Fri May 27 05:05:15 2022 found 18409804 cycles, need 18391567
  146. Fri May 27 05:05:17 2022 weight of 18391567 cycles is about 2207259912 (120.01/cycle)
  147. Fri May 27 05:05:17 2022 distribution of cycle lengths:
  148. Fri May 27 05:05:17 2022 1 relations: 1162305
  149. Fri May 27 05:05:17 2022 2 relations: 1323975
  150. Fri May 27 05:05:17 2022 3 relations: 1390257
  151. Fri May 27 05:05:17 2022 4 relations: 1367258
  152. Fri May 27 05:05:17 2022 5 relations: 1338169
  153. Fri May 27 05:05:17 2022 6 relations: 1284011
  154. Fri May 27 05:05:17 2022 7 relations: 1231493
  155. Fri May 27 05:05:17 2022 8 relations: 1165012
  156. Fri May 27 05:05:17 2022 9 relations: 1095193
  157. Fri May 27 05:05:17 2022 10+ relations: 7033894
  158. Fri May 27 05:05:17 2022 heaviest cycle: 28 relations
  159. Fri May 27 05:05:22 2022 commencing cycle optimization
  160. Fri May 27 05:05:57 2022 start with 158536259 relations
  161. Fri May 27 05:14:22 2022 pruned 6364205 relations
  162. Fri May 27 05:14:22 2022 memory use: 4325.7 MB
  163. Fri May 27 05:14:22 2022 distribution of cycle lengths:
  164. Fri May 27 05:14:22 2022 1 relations: 1162305
  165. Fri May 27 05:14:22 2022 2 relations: 1353131
  166. Fri May 27 05:14:22 2022 3 relations: 1444019
  167. Fri May 27 05:14:22 2022 4 relations: 1414301
  168. Fri May 27 05:14:22 2022 5 relations: 1393068
  169. Fri May 27 05:14:22 2022 6 relations: 1332844
  170. Fri May 27 05:14:22 2022 7 relations: 1282639
  171. Fri May 27 05:14:22 2022 8 relations: 1209577
  172. Fri May 27 05:14:22 2022 9 relations: 1135470
  173. Fri May 27 05:14:22 2022 10+ relations: 6664213
  174. Fri May 27 05:14:22 2022 heaviest cycle: 28 relations
  175. Fri May 27 05:15:35 2022 RelProcTime: 19241
  176. Fri May 27 05:15:35 2022
  177. Fri May 27 05:15:35 2022 commencing linear algebra
  178. Fri May 27 05:15:38 2022 read 18391567 cycles
  179. Fri May 27 05:16:24 2022 cycles contain 64636194 unique relations
  180. Fri May 27 05:28:15 2022 read 64636194 relations
  181. Fri May 27 05:31:03 2022 using 20 quadratic characters above 4294917295
  182. Fri May 27 05:35:33 2022 building initial matrix
  183. Fri May 27 05:49:46 2022 memory use: 8075.3 MB
  184. Fri May 27 05:50:27 2022 read 18391567 cycles
  185. Fri May 27 05:50:32 2022 matrix is 18391390 x 18391567 (8676.2 MB) with weight 2470028815 (134.30/col)
  186. Fri May 27 05:50:32 2022 sparse part has weight 2072108552 (112.67/col)
  187. Fri May 27 05:55:35 2022 filtering completed in 2 passes
  188. Fri May 27 05:55:41 2022 matrix is 18391136 x 18391313 (8676.2 MB) with weight 2470020817 (134.30/col)
  189. Fri May 27 05:55:41 2022 sparse part has weight 2072106246 (112.67/col)
  190. Fri May 27 05:58:04 2022 matrix starts at (0, 0)
  191. Fri May 27 05:58:09 2022 matrix is 18391136 x 18391313 (8676.2 MB) with weight 2470020817 (134.30/col)
  192. Fri May 27 05:58:09 2022 sparse part has weight 2072106246 (112.67/col)
  193. Fri May 27 05:58:09 2022 saving the first 48 matrix rows for later
  194. Fri May 27 05:58:15 2022 matrix includes 64 packed rows
  195. Fri May 27 05:58:19 2022 matrix is 18391088 x 18391313 (8322.5 MB) with weight 2133916751 (116.03/col)
  196. Fri May 27 05:58:19 2022 sparse part has weight 1997788929 (108.63/col)
  197. Fri May 27 05:58:19 2022 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  198. Fri May 27 06:00:43 2022 commencing Lanczos iteration (8 threads)
  199. Fri May 27 06:00:43 2022 memory use: 7170.8 MB
  200. Fri May 27 06:02:33 2022 linear algebra at 0.0%, ETA 352h10m
  201. Fri May 27 06:03:09 2022 checkpointing every 60000 dimensions
  202. Sat Jun 11 01:32:10 2022 lanczos halted after 290833 iterations (dim = 18391084)
  203. Sat Jun 11 01:33:16 2022 recovered 37 nontrivial dependencies
  204. Sat Jun 11 01:33:50 2022 BLanczosTime: 1282695
  205. Sat Jun 11 01:33:50 2022
  206. Sat Jun 11 01:33:50 2022 commencing square root phase
  207. Sat Jun 11 01:33:50 2022 handling dependencies 1 to 64
  208. Sat Jun 11 01:33:50 2022 reading relations for dependency 1
  209. Sat Jun 11 01:33:54 2022 read 9195811 cycles
  210. Sat Jun 11 01:34:16 2022 cycles contain 32319358 unique relations
  211. Sat Jun 11 01:42:08 2022 read 32319358 relations
  212. Sat Jun 11 01:45:19 2022 multiplying 32319358 relations
  213. Sat Jun 11 02:25:08 2022 multiply complete, coefficients have about 1191.72 million bits
  214. Sat Jun 11 02:25:15 2022 initial square root is modulo 221719
  215. Sat Jun 11 03:08:48 2022 sqrtTime: 5698
  216. Sat Jun 11 03:08:48 2022 p63 factor: 106211316554164128394197503246941468295190747630652675430425897
  217. Sat Jun 11 03:08:48 2022 p136 factor: 4466353758111998151218152488705865526771980903942759976407431488719616609558052056570079159885873718290393009778377702622309719458745377
  218. Sat Jun 11 03:08:48 2022 elapsed time 363:13:56
  219.  
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