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Msieve log of 474__749_11m1

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Aug 8th, 2021
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  1. Sun Aug 08 09:12:23 2021
  2. Sun Aug 08 09:12:23 2021
  3. Sun Aug 08 09:12:23 2021 Msieve v. 1.53 (SVN 988)
  4. Sun Aug 08 09:12:23 2021 random seeds: e0431820 fda2460d
  5. Sun Aug 08 09:12:23 2021 factoring 19658047125411460737736713779510028190250614680563434859148530446654316942700464784506800839617272798959736384993761475311123924177301753065810532798701819119 (158 digits)
  6. Sun Aug 08 09:12:23 2021 searching for 15-digit factors
  7. Sun Aug 08 09:12:24 2021 commencing number field sieve (158-digit input)
  8. Sun Aug 08 09:12:24 2021 R0: 22490429331112984896069254689721908612755002
  9. Sun Aug 08 09:12:24 2021 R1: -4742407545868763153749
  10. Sun Aug 08 09:12:24 2021 A0: 1
  11. Sun Aug 08 09:12:24 2021 A1: 3
  12. Sun Aug 08 09:12:24 2021 A2: -3
  13. Sun Aug 08 09:12:24 2021 A3: -4
  14. Sun Aug 08 09:12:24 2021 A4: 1
  15. Sun Aug 08 09:12:24 2021 A5: 1
  16. Sun Aug 08 09:12:24 2021 skew 1.00, size 9.012e-015, alpha 2.379, combined = 3.948e-012 rroots = 5
  17. Sun Aug 08 09:12:24 2021
  18. Sun Aug 08 09:12:24 2021 commencing relation filtering
  19. Sun Aug 08 09:12:24 2021 setting target matrix density to 100.0
  20. Sun Aug 08 09:12:24 2021 estimated available RAM is 12043.5 MB
  21. Sun Aug 08 09:12:24 2021 commencing duplicate removal, pass 1
  22. Sun Aug 08 09:12:56 2021 error -9 reading relation 2725905
  23. Sun Aug 08 09:14:31 2021 error -9 reading relation 10848922
  24. Sun Aug 08 09:14:31 2021 error -15 reading relation 10884452
  25. Sun Aug 08 09:16:45 2021 error -9 reading relation 21821285
  26. Sun Aug 08 09:18:08 2021 error -15 reading relation 28409488
  27. Sun Aug 08 09:19:11 2021 error -1 reading relation 33771352
  28. Sun Aug 08 09:19:56 2021 error -9 reading relation 37565870
  29. Sun Aug 08 09:20:51 2021 error -9 reading relation 42346976
  30. Sun Aug 08 09:21:43 2021 error -9 reading relation 46811823
  31. Sun Aug 08 09:22:08 2021 error -15 reading relation 49079406
  32. Sun Aug 08 09:22:47 2021 error -9 reading relation 52372516
  33. Sun Aug 08 09:22:53 2021 error -15 reading relation 52855877
  34. Sun Aug 08 09:24:11 2021 error -9 reading relation 59595864
  35. Sun Aug 08 09:24:13 2021 error -9 reading relation 59765803
  36. Sun Aug 08 09:24:14 2021 error -15 reading relation 59796631
  37. Sun Aug 08 09:24:21 2021 error -15 reading relation 60372856
  38. Sun Aug 08 09:24:27 2021 error -15 reading relation 60915324
  39. Sun Aug 08 09:24:57 2021 skipped 4 relations with b > 2^32
  40. Sun Aug 08 09:24:57 2021 skipped 13 relations with composite factors
  41. Sun Aug 08 09:24:57 2021 found 11713763 hash collisions in 63387718 relations
  42. Sun Aug 08 09:25:07 2021 added 2926234 free relations
  43. Sun Aug 08 09:25:07 2021 commencing duplicate removal, pass 2
  44. Sun Aug 08 09:25:54 2021 found 10981985 duplicates and 55331967 unique relations
  45. Sun Aug 08 09:25:54 2021 memory use: 330.4 MB
  46. Sun Aug 08 09:25:54 2021 reading ideals above 35979264
  47. Sun Aug 08 09:25:54 2021 commencing singleton removal, initial pass
  48. Sun Aug 08 09:35:17 2021 memory use: 1378.0 MB
  49. Sun Aug 08 09:35:17 2021 reading all ideals from disk
  50. Sun Aug 08 09:35:18 2021 memory use: 981.0 MB
  51. Sun Aug 08 09:35:21 2021 commencing in-memory singleton removal
  52. Sun Aug 08 09:35:24 2021 begin with 55331967 relations and 44210923 unique ideals
  53. Sun Aug 08 09:35:51 2021 reduce to 39067818 relations and 26417102 ideals in 14 passes
  54. Sun Aug 08 09:35:51 2021 max relations containing the same ideal: 50
  55. Sun Aug 08 09:35:55 2021 reading ideals above 720000
  56. Sun Aug 08 09:35:55 2021 commencing singleton removal, initial pass
  57. Sun Aug 08 09:43:43 2021 memory use: 753.0 MB
  58. Sun Aug 08 09:43:43 2021 reading all ideals from disk
  59. Sun Aug 08 09:43:45 2021 memory use: 1385.0 MB
  60. Sun Aug 08 09:43:49 2021 keeping 30616104 ideals with weight <= 200, target excess is 206708
  61. Sun Aug 08 09:43:53 2021 commencing in-memory singleton removal
  62. Sun Aug 08 09:43:58 2021 begin with 39067820 relations and 30616104 unique ideals
  63. Sun Aug 08 09:44:08 2021 reduce to 39067755 relations and 30616032 ideals in 3 passes
  64. Sun Aug 08 09:44:08 2021 max relations containing the same ideal: 200
  65. Sun Aug 08 09:44:29 2021 removing 4400152 relations and 3400152 ideals in 1000000 cliques
  66. Sun Aug 08 09:44:30 2021 commencing in-memory singleton removal
  67. Sun Aug 08 09:44:34 2021 begin with 34667603 relations and 30616032 unique ideals
  68. Sun Aug 08 09:44:59 2021 reduce to 34173600 relations and 26706117 ideals in 8 passes
  69. Sun Aug 08 09:44:59 2021 max relations containing the same ideal: 192
  70. Sun Aug 08 09:45:17 2021 removing 3505866 relations and 2505866 ideals in 1000000 cliques
  71. Sun Aug 08 09:45:19 2021 commencing in-memory singleton removal
  72. Sun Aug 08 09:45:22 2021 begin with 30667734 relations and 26706117 unique ideals
  73. Sun Aug 08 09:45:47 2021 reduce to 30366554 relations and 23889705 ideals in 9 passes
  74. Sun Aug 08 09:45:47 2021 max relations containing the same ideal: 182
  75. Sun Aug 08 09:46:03 2021 removing 3200804 relations and 2200805 ideals in 1000000 cliques
  76. Sun Aug 08 09:46:05 2021 commencing in-memory singleton removal
  77. Sun Aug 08 09:46:08 2021 begin with 27165750 relations and 23889705 unique ideals
  78. Sun Aug 08 09:46:22 2021 reduce to 26900566 relations and 21415329 ideals in 6 passes
  79. Sun Aug 08 09:46:22 2021 max relations containing the same ideal: 166
  80. Sun Aug 08 09:46:37 2021 removing 3064093 relations and 2064093 ideals in 1000000 cliques
  81. Sun Aug 08 09:46:38 2021 commencing in-memory singleton removal
  82. Sun Aug 08 09:46:41 2021 begin with 23836473 relations and 21415329 unique ideals
  83. Sun Aug 08 09:46:55 2021 reduce to 23579056 relations and 19085041 ideals in 7 passes
  84. Sun Aug 08 09:46:55 2021 max relations containing the same ideal: 151
  85. Sun Aug 08 09:47:08 2021 removing 2989703 relations and 1989703 ideals in 1000000 cliques
  86. Sun Aug 08 09:47:09 2021 commencing in-memory singleton removal
  87. Sun Aug 08 09:47:12 2021 begin with 20589353 relations and 19085041 unique ideals
  88. Sun Aug 08 09:47:24 2021 reduce to 20322425 relations and 16818295 ideals in 7 passes
  89. Sun Aug 08 09:47:24 2021 max relations containing the same ideal: 139
  90. Sun Aug 08 09:47:35 2021 removing 2949990 relations and 1949990 ideals in 1000000 cliques
  91. Sun Aug 08 09:47:36 2021 commencing in-memory singleton removal
  92. Sun Aug 08 09:47:38 2021 begin with 17372435 relations and 16818295 unique ideals
  93. Sun Aug 08 09:47:48 2021 reduce to 17082181 relations and 14565612 ideals in 7 passes
  94. Sun Aug 08 09:47:48 2021 max relations containing the same ideal: 121
  95. Sun Aug 08 09:47:58 2021 removing 2929419 relations and 1929419 ideals in 1000000 cliques
  96. Sun Aug 08 09:47:59 2021 commencing in-memory singleton removal
  97. Sun Aug 08 09:48:00 2021 begin with 14152762 relations and 14565612 unique ideals
  98. Sun Aug 08 09:48:10 2021 reduce to 13820548 relations and 12287361 ideals in 8 passes
  99. Sun Aug 08 09:48:10 2021 max relations containing the same ideal: 110
  100. Sun Aug 08 09:48:18 2021 removing 2926396 relations and 1926396 ideals in 1000000 cliques
  101. Sun Aug 08 09:48:19 2021 commencing in-memory singleton removal
  102. Sun Aug 08 09:48:20 2021 begin with 10894152 relations and 12287361 unique ideals
  103. Sun Aug 08 09:48:27 2021 reduce to 10489547 relations and 9931006 ideals in 8 passes
  104. Sun Aug 08 09:48:27 2021 max relations containing the same ideal: 90
  105. Sun Aug 08 09:48:33 2021 removing 1178348 relations and 859589 ideals in 318759 cliques
  106. Sun Aug 08 09:48:33 2021 commencing in-memory singleton removal
  107. Sun Aug 08 09:48:34 2021 begin with 9311199 relations and 9931006 unique ideals
  108. Sun Aug 08 09:48:39 2021 reduce to 9209308 relations and 8966648 ideals in 6 passes
  109. Sun Aug 08 09:48:39 2021 max relations containing the same ideal: 82
  110. Sun Aug 08 09:48:46 2021 relations with 0 large ideals: 16307
  111. Sun Aug 08 09:48:46 2021 relations with 1 large ideals: 2045
  112. Sun Aug 08 09:48:46 2021 relations with 2 large ideals: 24078
  113. Sun Aug 08 09:48:46 2021 relations with 3 large ideals: 177136
  114. Sun Aug 08 09:48:46 2021 relations with 4 large ideals: 706073
  115. Sun Aug 08 09:48:46 2021 relations with 5 large ideals: 1654048
  116. Sun Aug 08 09:48:46 2021 relations with 6 large ideals: 2722112
  117. Sun Aug 08 09:48:46 2021 relations with 7+ large ideals: 3907509
  118. Sun Aug 08 09:48:46 2021 commencing 2-way merge
  119. Sun Aug 08 09:48:53 2021 reduce to 6109039 relation sets and 5866379 unique ideals
  120. Sun Aug 08 09:48:53 2021 commencing full merge
  121. Sun Aug 08 09:51:45 2021 memory use: 818.6 MB
  122. Sun Aug 08 09:51:47 2021 found 2897755 cycles, need 2874579
  123. Sun Aug 08 09:51:47 2021 weight of 2874579 cycles is about 287562285 (100.04/cycle)
  124. Sun Aug 08 09:51:47 2021 distribution of cycle lengths:
  125. Sun Aug 08 09:51:47 2021 1 relations: 152655
  126. Sun Aug 08 09:51:47 2021 2 relations: 189670
  127. Sun Aug 08 09:51:47 2021 3 relations: 219789
  128. Sun Aug 08 09:51:47 2021 4 relations: 229439
  129. Sun Aug 08 09:51:47 2021 5 relations: 234403
  130. Sun Aug 08 09:51:47 2021 6 relations: 232379
  131. Sun Aug 08 09:51:47 2021 7 relations: 224556
  132. Sun Aug 08 09:51:47 2021 8 relations: 210385
  133. Sun Aug 08 09:51:47 2021 9 relations: 193253
  134. Sun Aug 08 09:51:47 2021 10+ relations: 988050
  135. Sun Aug 08 09:51:47 2021 heaviest cycle: 28 relations
  136. Sun Aug 08 09:51:48 2021 commencing cycle optimization
  137. Sun Aug 08 09:51:54 2021 start with 23241870 relations
  138. Sun Aug 08 09:53:02 2021 pruned 1037485 relations
  139. Sun Aug 08 09:53:02 2021 memory use: 621.9 MB
  140. Sun Aug 08 09:53:02 2021 distribution of cycle lengths:
  141. Sun Aug 08 09:53:02 2021 1 relations: 152655
  142. Sun Aug 08 09:53:02 2021 2 relations: 193585
  143. Sun Aug 08 09:53:02 2021 3 relations: 228325
  144. Sun Aug 08 09:53:02 2021 4 relations: 238795
  145. Sun Aug 08 09:53:02 2021 5 relations: 246321
  146. Sun Aug 08 09:53:02 2021 6 relations: 244404
  147. Sun Aug 08 09:53:02 2021 7 relations: 236766
  148. Sun Aug 08 09:53:02 2021 8 relations: 220019
  149. Sun Aug 08 09:53:02 2021 9 relations: 201526
  150. Sun Aug 08 09:53:02 2021 10+ relations: 912183
  151. Sun Aug 08 09:53:02 2021 heaviest cycle: 28 relations
  152. Sun Aug 08 09:53:05 2021 RelProcTime: 2441
  153. Sun Aug 08 09:53:05 2021
  154. Sun Aug 08 09:53:05 2021 commencing linear algebra
  155. Sun Aug 08 09:53:06 2021 read 2874579 cycles
  156. Sun Aug 08 09:53:13 2021 cycles contain 9067378 unique relations
  157. Sun Aug 08 09:54:43 2021 read 9067378 relations
  158. Sun Aug 08 09:55:02 2021 using 20 quadratic characters above 4294917295
  159. Sun Aug 08 09:56:01 2021 building initial matrix
  160. Sun Aug 08 09:58:15 2021 memory use: 1128.3 MB
  161. Sun Aug 08 09:58:18 2021 read 2874579 cycles
  162. Sun Aug 08 09:58:18 2021 matrix is 2874402 x 2874579 (1152.0 MB) with weight 330157561 (114.85/col)
  163. Sun Aug 08 09:58:18 2021 sparse part has weight 270363102 (94.05/col)
  164. Sun Aug 08 09:58:52 2021 filtering completed in 2 passes
  165. Sun Aug 08 09:58:52 2021 matrix is 2874287 x 2874464 (1152.0 MB) with weight 330153207 (114.86/col)
  166. Sun Aug 08 09:58:52 2021 sparse part has weight 270361148 (94.06/col)
  167. Sun Aug 08 09:59:00 2021 matrix starts at (0, 0)
  168. Sun Aug 08 09:59:01 2021 matrix is 2874287 x 2874464 (1152.0 MB) with weight 330153207 (114.86/col)
  169. Sun Aug 08 09:59:01 2021 sparse part has weight 270361148 (94.06/col)
  170. Sun Aug 08 09:59:01 2021 saving the first 48 matrix rows for later
  171. Sun Aug 08 09:59:02 2021 matrix includes 64 packed rows
  172. Sun Aug 08 09:59:03 2021 matrix is 2874239 x 2874464 (1100.4 MB) with weight 279283051 (97.16/col)
  173. Sun Aug 08 09:59:03 2021 sparse part has weight 259720439 (90.35/col)
  174. Sun Aug 08 09:59:03 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  175. Sun Aug 08 09:59:20 2021 commencing Lanczos iteration (6 threads)
  176. Sun Aug 08 09:59:20 2021 memory use: 914.7 MB
  177. Sun Aug 08 09:59:31 2021 linear algebra at 0.1%, ETA 5h15m
  178. Sun Aug 08 09:59:35 2021 checkpointing every 530000 dimensions
  179. Sun Aug 08 15:32:57 2021 lanczos halted after 45455 iterations (dim = 2874231)
  180. Sun Aug 08 15:33:02 2021 recovered 31 nontrivial dependencies
  181. Sun Aug 08 15:33:02 2021 BLanczosTime: 20397
  182. Sun Aug 08 15:33:02 2021
  183. Sun Aug 08 15:33:02 2021 commencing square root phase
  184. Sun Aug 08 15:33:02 2021 handling dependencies 1 to 64
  185. Sun Aug 08 15:33:02 2021 reading relations for dependency 1
  186. Sun Aug 08 15:33:03 2021 read 1437976 cycles
  187. Sun Aug 08 15:33:07 2021 cycles contain 4534756 unique relations
  188. Sun Aug 08 15:33:58 2021 read 4534756 relations
  189. Sun Aug 08 15:34:24 2021 multiplying 4534756 relations
  190. Sun Aug 08 15:36:38 2021 multiply complete, coefficients have about 108.93 million bits
  191. Sun Aug 08 15:36:39 2021 initial square root is modulo 65867353
  192. Sun Aug 08 15:38:56 2021 sqrtTime: 354
  193. Sun Aug 08 15:38:56 2021 p59 factor: 73119398814213571649205971000941430624353762947445533933047
  194. Sun Aug 08 15:38:56 2021 p99 factor: 268848587983605823488306320117291030386483771174564863043022982200674143258795499226789114717733577
  195. Sun Aug 08 15:38:56 2021 elapsed time 06:26:33
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