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Msieve log of C158_148_67

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Dec 31st, 2022
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  1. Fri Dec 30 19:10:19 2022
  2. Fri Dec 30 19:10:19 2022
  3. Fri Dec 30 19:10:19 2022 Msieve v. 1.53 (SVN unknown)
  4. Fri Dec 30 19:10:19 2022 random seeds: 82976bf8 52b98ce9
  5. Fri Dec 30 19:10:19 2022 factoring 26733640424190474019590695692517955881196554332700810469781513088684971830739469605439340626789178732418018875854399180992386014949086130748425009022763598509 (158 digits)
  6. Fri Dec 30 19:10:20 2022 searching for 15-digit factors
  7. Fri Dec 30 19:10:20 2022 commencing number field sieve (158-digit input)
  8. Fri Dec 30 19:10:20 2022 R0: -1629385999295723190763205181417
  9. Fri Dec 30 19:10:20 2022 R1: 12516125878591
  10. Fri Dec 30 19:10:20 2022 A0: -14731034062293806327610591508005768700
  11. Fri Dec 30 19:10:20 2022 A1: 266952863707002533262127246016860
  12. Fri Dec 30 19:10:20 2022 A2: -103685639785179880876386839
  13. Fri Dec 30 19:10:20 2022 A3: -124843198372172833066
  14. Fri Dec 30 19:10:20 2022 A4: 8787476912328
  15. Fri Dec 30 19:10:20 2022 A5: 2327760
  16. Fri Dec 30 19:10:20 2022 skew 3046511.70, size 2.604e-15, alpha -8.227, combined = 1.989e-12 rroots = 5
  17. Fri Dec 30 19:10:20 2022
  18. Fri Dec 30 19:10:20 2022 commencing relation filtering
  19. Fri Dec 30 19:10:20 2022 setting target matrix density to 108.0
  20. Fri Dec 30 19:10:20 2022 estimated available RAM is 32721.3 MB
  21. Fri Dec 30 19:10:20 2022 commencing duplicate removal, pass 1
  22. Fri Dec 30 19:15:34 2022 error -9 reading relation 22506906
  23. Fri Dec 30 19:16:40 2022 error -9 reading relation 27215525
  24. Fri Dec 30 19:25:06 2022 error -15 reading relation 63495586
  25. Fri Dec 30 19:27:16 2022 error -1 reading relation 72822316
  26. Fri Dec 30 19:27:26 2022 error -15 reading relation 73570110
  27. Fri Dec 30 19:27:38 2022 error -1 reading relation 74403957
  28. Fri Dec 30 19:27:52 2022 error -15 reading relation 75457869
  29. Fri Dec 30 19:41:16 2022 error -1 reading relation 133185373
  30. Fri Dec 30 19:41:29 2022 skipped 2 relations with composite factors
  31. Fri Dec 30 19:41:29 2022 found 28373274 hash collisions in 134093837 relations
  32. Fri Dec 30 19:42:18 2022 added 122866 free relations
  33. Fri Dec 30 19:42:18 2022 commencing duplicate removal, pass 2
  34. Fri Dec 30 19:43:24 2022 found 29666349 duplicates and 104550354 unique relations
  35. Fri Dec 30 19:43:24 2022 memory use: 724.8 MB
  36. Fri Dec 30 19:43:25 2022 reading ideals above 720000
  37. Fri Dec 30 19:43:25 2022 commencing singleton removal, initial pass
  38. Fri Dec 30 20:03:55 2022 memory use: 2756.0 MB
  39. Fri Dec 30 20:03:55 2022 reading all ideals from disk
  40. Fri Dec 30 20:03:58 2022 memory use: 3838.5 MB
  41. Fri Dec 30 20:04:07 2022 keeping 90515963 ideals with weight <= 200, target excess is 528485
  42. Fri Dec 30 20:04:19 2022 commencing in-memory singleton removal
  43. Fri Dec 30 20:04:26 2022 begin with 104550354 relations and 90515963 unique ideals
  44. Fri Dec 30 20:05:49 2022 reduce to 71729976 relations and 54636923 ideals in 13 passes
  45. Fri Dec 30 20:05:49 2022 max relations containing the same ideal: 165
  46. Fri Dec 30 20:06:19 2022 removing 8146637 relations and 6146637 ideals in 2000000 cliques
  47. Fri Dec 30 20:06:22 2022 commencing in-memory singleton removal
  48. Fri Dec 30 20:06:27 2022 begin with 63583339 relations and 54636923 unique ideals
  49. Fri Dec 30 20:07:03 2022 reduce to 62854327 relations and 47736419 ideals in 7 passes
  50. Fri Dec 30 20:07:03 2022 max relations containing the same ideal: 155
  51. Fri Dec 30 20:07:30 2022 removing 6481057 relations and 4481057 ideals in 2000000 cliques
  52. Fri Dec 30 20:07:32 2022 commencing in-memory singleton removal
  53. Fri Dec 30 20:07:36 2022 begin with 56373270 relations and 47736419 unique ideals
  54. Fri Dec 30 20:08:08 2022 reduce to 55863569 relations and 42729338 ideals in 7 passes
  55. Fri Dec 30 20:08:08 2022 max relations containing the same ideal: 146
  56. Fri Dec 30 20:08:31 2022 removing 6040981 relations and 4040981 ideals in 2000000 cliques
  57. Fri Dec 30 20:08:33 2022 commencing in-memory singleton removal
  58. Fri Dec 30 20:08:37 2022 begin with 49822588 relations and 42729338 unique ideals
  59. Fri Dec 30 20:09:05 2022 reduce to 49355750 relations and 38206170 ideals in 7 passes
  60. Fri Dec 30 20:09:05 2022 max relations containing the same ideal: 132
  61. Fri Dec 30 20:09:26 2022 removing 5828004 relations and 3828004 ideals in 2000000 cliques
  62. Fri Dec 30 20:09:28 2022 commencing in-memory singleton removal
  63. Fri Dec 30 20:09:31 2022 begin with 43527746 relations and 38206170 unique ideals
  64. Fri Dec 30 20:09:54 2022 reduce to 43060100 relations and 33893759 ideals in 7 passes
  65. Fri Dec 30 20:09:54 2022 max relations containing the same ideal: 120
  66. Fri Dec 30 20:10:13 2022 removing 5713238 relations and 3713238 ideals in 2000000 cliques
  67. Fri Dec 30 20:10:15 2022 commencing in-memory singleton removal
  68. Fri Dec 30 20:10:17 2022 begin with 37346862 relations and 33893759 unique ideals
  69. Fri Dec 30 20:10:37 2022 reduce to 36846433 relations and 29660069 ideals in 7 passes
  70. Fri Dec 30 20:10:37 2022 max relations containing the same ideal: 108
  71. Fri Dec 30 20:10:53 2022 removing 5659461 relations and 3659461 ideals in 2000000 cliques
  72. Fri Dec 30 20:10:55 2022 commencing in-memory singleton removal
  73. Fri Dec 30 20:10:57 2022 begin with 31186972 relations and 29660069 unique ideals
  74. Fri Dec 30 20:11:16 2022 reduce to 30618604 relations and 25405888 ideals in 8 passes
  75. Fri Dec 30 20:11:16 2022 max relations containing the same ideal: 94
  76. Fri Dec 30 20:11:29 2022 removing 5661468 relations and 3661468 ideals in 2000000 cliques
  77. Fri Dec 30 20:11:31 2022 commencing in-memory singleton removal
  78. Fri Dec 30 20:11:32 2022 begin with 24957136 relations and 25405888 unique ideals
  79. Fri Dec 30 20:11:47 2022 reduce to 24261681 relations and 21010418 ideals in 8 passes
  80. Fri Dec 30 20:11:47 2022 max relations containing the same ideal: 80
  81. Fri Dec 30 20:11:58 2022 removing 5724704 relations and 3724704 ideals in 2000000 cliques
  82. Fri Dec 30 20:11:59 2022 commencing in-memory singleton removal
  83. Fri Dec 30 20:12:00 2022 begin with 18536977 relations and 21010418 unique ideals
  84. Fri Dec 30 20:12:12 2022 reduce to 17601154 relations and 16283164 ideals in 9 passes
  85. Fri Dec 30 20:12:12 2022 max relations containing the same ideal: 64
  86. Fri Dec 30 20:12:20 2022 removing 2572359 relations and 1867412 ideals in 704947 cliques
  87. Fri Dec 30 20:12:21 2022 commencing in-memory singleton removal
  88. Fri Dec 30 20:12:21 2022 begin with 15028795 relations and 16283164 unique ideals
  89. Fri Dec 30 20:12:30 2022 reduce to 14699917 relations and 14074448 ideals in 9 passes
  90. Fri Dec 30 20:12:30 2022 max relations containing the same ideal: 57
  91. Fri Dec 30 20:12:37 2022 removing 90763 relations and 78337 ideals in 12426 cliques
  92. Fri Dec 30 20:12:38 2022 commencing in-memory singleton removal
  93. Fri Dec 30 20:12:38 2022 begin with 14609154 relations and 14074448 unique ideals
  94. Fri Dec 30 20:12:43 2022 reduce to 14608789 relations and 13995746 ideals in 5 passes
  95. Fri Dec 30 20:12:43 2022 max relations containing the same ideal: 56
  96. Fri Dec 30 20:12:46 2022 relations with 0 large ideals: 1703
  97. Fri Dec 30 20:12:46 2022 relations with 1 large ideals: 14605
  98. Fri Dec 30 20:12:46 2022 relations with 2 large ideals: 183215
  99. Fri Dec 30 20:12:46 2022 relations with 3 large ideals: 946423
  100. Fri Dec 30 20:12:46 2022 relations with 4 large ideals: 2551687
  101. Fri Dec 30 20:12:46 2022 relations with 5 large ideals: 3968275
  102. Fri Dec 30 20:12:46 2022 relations with 6 large ideals: 3778161
  103. Fri Dec 30 20:12:46 2022 relations with 7+ large ideals: 3164720
  104. Fri Dec 30 20:12:46 2022 commencing 2-way merge
  105. Fri Dec 30 20:12:54 2022 reduce to 9236458 relation sets and 8623415 unique ideals
  106. Fri Dec 30 20:12:54 2022 commencing full merge
  107. Fri Dec 30 20:15:37 2022 memory use: 1058.4 MB
  108. Fri Dec 30 20:15:38 2022 found 4267942 cycles, need 4199615
  109. Fri Dec 30 20:15:38 2022 weight of 4199615 cycles is about 453602171 (108.01/cycle)
  110. Fri Dec 30 20:15:38 2022 distribution of cycle lengths:
  111. Fri Dec 30 20:15:38 2022 1 relations: 242068
  112. Fri Dec 30 20:15:38 2022 2 relations: 291571
  113. Fri Dec 30 20:15:38 2022 3 relations: 325113
  114. Fri Dec 30 20:15:38 2022 4 relations: 334419
  115. Fri Dec 30 20:15:38 2022 5 relations: 343782
  116. Fri Dec 30 20:15:38 2022 6 relations: 339936
  117. Fri Dec 30 20:15:38 2022 7 relations: 328550
  118. Fri Dec 30 20:15:38 2022 8 relations: 307965
  119. Fri Dec 30 20:15:38 2022 9 relations: 283024
  120. Fri Dec 30 20:15:38 2022 10+ relations: 1403187
  121. Fri Dec 30 20:15:38 2022 heaviest cycle: 25 relations
  122. Fri Dec 30 20:15:39 2022 commencing cycle optimization
  123. Fri Dec 30 20:15:46 2022 start with 33178673 relations
  124. Fri Dec 30 20:16:56 2022 pruned 1415389 relations
  125. Fri Dec 30 20:16:56 2022 memory use: 936.7 MB
  126. Fri Dec 30 20:16:56 2022 distribution of cycle lengths:
  127. Fri Dec 30 20:16:56 2022 1 relations: 242068
  128. Fri Dec 30 20:16:56 2022 2 relations: 299520
  129. Fri Dec 30 20:16:56 2022 3 relations: 339287
  130. Fri Dec 30 20:16:56 2022 4 relations: 348554
  131. Fri Dec 30 20:16:56 2022 5 relations: 361412
  132. Fri Dec 30 20:16:56 2022 6 relations: 356576
  133. Fri Dec 30 20:16:56 2022 7 relations: 345355
  134. Fri Dec 30 20:16:56 2022 8 relations: 321492
  135. Fri Dec 30 20:16:56 2022 9 relations: 293805
  136. Fri Dec 30 20:16:56 2022 10+ relations: 1291546
  137. Fri Dec 30 20:16:56 2022 heaviest cycle: 24 relations
  138. Fri Dec 30 20:17:01 2022 RelProcTime: 4001
  139. Fri Dec 30 20:17:01 2022
  140. Fri Dec 30 20:17:01 2022 commencing linear algebra
  141. Fri Dec 30 20:17:01 2022 read 4199615 cycles
  142. Fri Dec 30 20:17:10 2022 cycles contain 14256229 unique relations
  143. Fri Dec 30 20:19:47 2022 read 14256229 relations
  144. Fri Dec 30 20:20:13 2022 using 20 quadratic characters above 4294917295
  145. Fri Dec 30 20:21:12 2022 building initial matrix
  146. Fri Dec 30 20:24:08 2022 memory use: 1934.5 MB
  147. Fri Dec 30 20:24:11 2022 read 4199615 cycles
  148. Fri Dec 30 20:24:13 2022 matrix is 4199437 x 4199615 (1806.9 MB) with weight 557164316 (132.67/col)
  149. Fri Dec 30 20:24:13 2022 sparse part has weight 423273019 (100.79/col)
  150. Fri Dec 30 20:25:03 2022 filtering completed in 2 passes
  151. Fri Dec 30 20:25:05 2022 matrix is 4198885 x 4199063 (1806.8 MB) with weight 557132948 (132.68/col)
  152. Fri Dec 30 20:25:05 2022 sparse part has weight 423259962 (100.80/col)
  153. Fri Dec 30 20:25:15 2022 matrix starts at (0, 0)
  154. Fri Dec 30 20:25:17 2022 matrix is 4198885 x 4199063 (1806.8 MB) with weight 557132948 (132.68/col)
  155. Fri Dec 30 20:25:17 2022 sparse part has weight 423259962 (100.80/col)
  156. Fri Dec 30 20:25:17 2022 saving the first 48 matrix rows for later
  157. Fri Dec 30 20:25:18 2022 matrix includes 64 packed rows
  158. Fri Dec 30 20:25:19 2022 matrix is 4198837 x 4199063 (1753.5 MB) with weight 470712766 (112.10/col)
  159. Fri Dec 30 20:25:19 2022 sparse part has weight 417689552 (99.47/col)
  160. Fri Dec 30 20:25:19 2022 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  161. Fri Dec 30 20:25:47 2022 commencing Lanczos iteration (8 threads)
  162. Fri Dec 30 20:25:47 2022 memory use: 1433.8 MB
  163. Fri Dec 30 20:26:02 2022 linear algebra at 0.0%, ETA 11h34m
  164. Fri Dec 30 20:26:07 2022 checkpointing every 370000 dimensions
  165. Sat Dec 31 07:43:15 2022 lanczos halted after 66399 iterations (dim = 4198835)
  166. Sat Dec 31 07:43:21 2022 recovered 28 nontrivial dependencies
  167. Sat Dec 31 07:43:23 2022 BLanczosTime: 41182
  168. Sat Dec 31 07:43:23 2022
  169. Sat Dec 31 07:43:23 2022 commencing square root phase
  170. Sat Dec 31 07:43:23 2022 handling dependencies 1 to 64
  171. Sat Dec 31 07:43:23 2022 reading relations for dependency 1
  172. Sat Dec 31 07:43:24 2022 read 2099505 cycles
  173. Sat Dec 31 07:43:28 2022 cycles contain 7128688 unique relations
  174. Sat Dec 31 07:45:31 2022 read 7128688 relations
  175. Sat Dec 31 07:46:07 2022 multiplying 7128688 relations
  176. Sat Dec 31 07:53:39 2022 multiply complete, coefficients have about 404.03 million bits
  177. Sat Dec 31 07:53:42 2022 initial square root is modulo 17763349
  178. Sat Dec 31 08:03:45 2022 sqrtTime: 1222
  179. Sat Dec 31 08:03:45 2022 p79 factor: 2332393995072890057831101207789840816491505317661569820513671577316986617946237
  180. Sat Dec 31 08:03:45 2022 p80 factor: 11461888720629730607709932812341686630542567535126017787888038090069346933699057
  181. Sat Dec 31 08:03:45 2022 elapsed time 12:53:26
  182.  
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