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5__2_802m1 log

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Dec 9th, 2022
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  1. Wed Dec 7 15:02:20 2022
  2. Wed Dec 7 15:02:20 2022
  3. Wed Dec 7 15:02:20 2022 Msieve v. 1.54 (SVN 1028)
  4. Wed Dec 7 15:02:20 2022 random seeds: bf2774a7 74660a3f
  5. Wed Dec 7 15:02:20 2022 factoring 16192653180263380311121310759949129923101439130017465752802405040046484840490884987396600462001519515171025943628208912153988265007815843450216451754922531793300738100571679841 (176 digits)
  6. Wed Dec 7 15:02:21 2022 no P-1/P+1/ECM available, skipping
  7. Wed Dec 7 15:02:21 2022 commencing number field sieve (176-digit input)
  8. Wed Dec 7 15:02:21 2022 R0: 21778071482940061661655974875633165533184
  9. Wed Dec 7 15:02:21 2022 R1: -1
  10. Wed Dec 7 15:02:21 2022 A0: -4
  11. Wed Dec 7 15:02:21 2022 A1: 0
  12. Wed Dec 7 15:02:21 2022 A2: 0
  13. Wed Dec 7 15:02:21 2022 A3: 0
  14. Wed Dec 7 15:02:21 2022 A4: 0
  15. Wed Dec 7 15:02:21 2022 A5: 0
  16. Wed Dec 7 15:02:21 2022 A6: 5
  17. Wed Dec 7 15:02:21 2022 skew 0.97, size 4.706e-12, alpha 2.070, combined = 3.681e-13 rroots = 2
  18. Wed Dec 7 15:02:21 2022
  19. Wed Dec 7 15:02:21 2022 commencing relation filtering
  20. Wed Dec 7 15:02:21 2022 setting target matrix density to 108.0
  21. Wed Dec 7 15:02:21 2022 estimated available RAM is 128848.2 MB
  22. Wed Dec 7 15:02:21 2022 commencing duplicate removal, pass 1
  23. Wed Dec 7 15:29:03 2022 skipped 107 relations with b > 2^32
  24. Wed Dec 7 15:29:03 2022 found 7964420 hash collisions in 190327709 relations
  25. Wed Dec 7 15:29:21 2022 added 1218185 free relations
  26. Wed Dec 7 15:29:21 2022 commencing duplicate removal, pass 2
  27. Wed Dec 7 15:30:17 2022 found 0 duplicates and 191545894 unique relations
  28. Wed Dec 7 15:30:17 2022 memory use: 522.4 MB
  29. Wed Dec 7 15:30:17 2022 reading ideals above 720000
  30. Wed Dec 7 15:30:17 2022 commencing singleton removal, initial pass
  31. Wed Dec 7 15:58:10 2022 memory use: 5512.0 MB
  32. Wed Dec 7 15:58:10 2022 reading all ideals from disk
  33. Wed Dec 7 15:58:14 2022 memory use: 7508.0 MB
  34. Wed Dec 7 15:58:38 2022 keeping 189591520 ideals with weight <= 200, target excess is 1162635
  35. Wed Dec 7 15:59:06 2022 commencing in-memory singleton removal
  36. Wed Dec 7 15:59:23 2022 begin with 191545894 relations and 189591520 unique ideals
  37. Wed Dec 7 16:02:12 2022 reduce to 90550888 relations and 75573253 ideals in 16 passes
  38. Wed Dec 7 16:02:12 2022 max relations containing the same ideal: 126
  39. Wed Dec 7 16:02:59 2022 removing 11016034 relations and 9016034 ideals in 2000000 cliques
  40. Wed Dec 7 16:03:02 2022 commencing in-memory singleton removal
  41. Wed Dec 7 16:03:10 2022 begin with 79534854 relations and 75573253 unique ideals
  42. Wed Dec 7 16:04:27 2022 reduce to 78565731 relations and 65562257 ideals in 9 passes
  43. Wed Dec 7 16:04:27 2022 max relations containing the same ideal: 113
  44. Wed Dec 7 16:05:08 2022 removing 8536290 relations and 6536290 ideals in 2000000 cliques
  45. Wed Dec 7 16:05:11 2022 commencing in-memory singleton removal
  46. Wed Dec 7 16:05:17 2022 begin with 70029441 relations and 65562257 unique ideals
  47. Wed Dec 7 16:06:23 2022 reduce to 69328055 relations and 58307056 ideals in 9 passes
  48. Wed Dec 7 16:06:23 2022 max relations containing the same ideal: 107
  49. Wed Dec 7 16:06:59 2022 removing 7818133 relations and 5818133 ideals in 2000000 cliques
  50. Wed Dec 7 16:07:01 2022 commencing in-memory singleton removal
  51. Wed Dec 7 16:07:07 2022 begin with 61509922 relations and 58307056 unique ideals
  52. Wed Dec 7 16:08:00 2022 reduce to 60844512 relations and 51806182 ideals in 9 passes
  53. Wed Dec 7 16:08:00 2022 max relations containing the same ideal: 96
  54. Wed Dec 7 16:08:31 2022 removing 7481994 relations and 5481994 ideals in 2000000 cliques
  55. Wed Dec 7 16:08:34 2022 commencing in-memory singleton removal
  56. Wed Dec 7 16:08:38 2022 begin with 53362518 relations and 51806182 unique ideals
  57. Wed Dec 7 16:09:21 2022 reduce to 52675928 relations and 45617618 ideals in 8 passes
  58. Wed Dec 7 16:09:21 2022 max relations containing the same ideal: 86
  59. Wed Dec 7 16:09:48 2022 removing 7309686 relations and 5309686 ideals in 2000000 cliques
  60. Wed Dec 7 16:09:50 2022 commencing in-memory singleton removal
  61. Wed Dec 7 16:09:54 2022 begin with 45366242 relations and 45617618 unique ideals
  62. Wed Dec 7 16:10:30 2022 reduce to 44614235 relations and 39530801 ideals in 9 passes
  63. Wed Dec 7 16:10:30 2022 max relations containing the same ideal: 77
  64. Wed Dec 7 16:10:53 2022 removing 7235694 relations and 5235694 ideals in 2000000 cliques
  65. Wed Dec 7 16:10:56 2022 commencing in-memory singleton removal
  66. Wed Dec 7 16:10:59 2022 begin with 37378541 relations and 39530801 unique ideals
  67. Wed Dec 7 16:11:32 2022 reduce to 36506504 relations and 33388955 ideals in 9 passes
  68. Wed Dec 7 16:11:32 2022 max relations containing the same ideal: 67
  69. Wed Dec 7 16:11:52 2022 removing 6575770 relations and 4806878 ideals in 1768892 cliques
  70. Wed Dec 7 16:11:54 2022 commencing in-memory singleton removal
  71. Wed Dec 7 16:11:56 2022 begin with 29930734 relations and 33388955 unique ideals
  72. Wed Dec 7 16:12:19 2022 reduce to 29031454 relations and 27644743 ideals in 9 passes
  73. Wed Dec 7 16:12:19 2022 max relations containing the same ideal: 59
  74. Wed Dec 7 16:12:35 2022 removing 298990 relations and 260936 ideals in 38054 cliques
  75. Wed Dec 7 16:12:36 2022 commencing in-memory singleton removal
  76. Wed Dec 7 16:12:38 2022 begin with 28732464 relations and 27644743 unique ideals
  77. Wed Dec 7 16:12:52 2022 reduce to 28730431 relations and 27381771 ideals in 6 passes
  78. Wed Dec 7 16:12:52 2022 max relations containing the same ideal: 59
  79. Wed Dec 7 16:12:58 2022 relations with 0 large ideals: 42236
  80. Wed Dec 7 16:12:58 2022 relations with 1 large ideals: 52449
  81. Wed Dec 7 16:12:58 2022 relations with 2 large ideals: 473399
  82. Wed Dec 7 16:12:58 2022 relations with 3 large ideals: 2133489
  83. Wed Dec 7 16:12:58 2022 relations with 4 large ideals: 5328128
  84. Wed Dec 7 16:12:58 2022 relations with 5 large ideals: 7827566
  85. Wed Dec 7 16:12:58 2022 relations with 6 large ideals: 6998735
  86. Wed Dec 7 16:12:58 2022 relations with 7+ large ideals: 5874429
  87. Wed Dec 7 16:12:58 2022 commencing 2-way merge
  88. Wed Dec 7 16:13:16 2022 reduce to 17301137 relation sets and 15952477 unique ideals
  89. Wed Dec 7 16:13:16 2022 commencing full merge
  90. Wed Dec 7 16:18:47 2022 memory use: 2005.9 MB
  91. Wed Dec 7 16:18:49 2022 found 8016065 cycles, need 7874677
  92. Wed Dec 7 16:18:53 2022 weight of 7874677 cycles is about 850550378 (108.01/cycle)
  93. Wed Dec 7 16:18:53 2022 distribution of cycle lengths:
  94. Wed Dec 7 16:18:53 2022 1 relations: 585713
  95. Wed Dec 7 16:18:53 2022 2 relations: 574341
  96. Wed Dec 7 16:18:53 2022 3 relations: 595885
  97. Wed Dec 7 16:18:53 2022 4 relations: 599855
  98. Wed Dec 7 16:18:53 2022 5 relations: 601359
  99. Wed Dec 7 16:18:53 2022 6 relations: 593042
  100. Wed Dec 7 16:18:53 2022 7 relations: 570911
  101. Wed Dec 7 16:18:53 2022 8 relations: 539171
  102. Wed Dec 7 16:18:53 2022 9 relations: 498847
  103. Wed Dec 7 16:18:53 2022 10+ relations: 2715553
  104. Wed Dec 7 16:18:53 2022 heaviest cycle: 27 relations
  105. Wed Dec 7 16:18:56 2022 commencing cycle optimization
  106. Wed Dec 7 16:19:12 2022 start with 62750867 relations
  107. Wed Dec 7 16:21:09 2022 pruned 2375130 relations
  108. Wed Dec 7 16:21:09 2022 memory use: 1801.9 MB
  109. Wed Dec 7 16:21:09 2022 distribution of cycle lengths:
  110. Wed Dec 7 16:21:09 2022 1 relations: 585713
  111. Wed Dec 7 16:21:09 2022 2 relations: 586620
  112. Wed Dec 7 16:21:09 2022 3 relations: 618120
  113. Wed Dec 7 16:21:09 2022 4 relations: 621004
  114. Wed Dec 7 16:21:09 2022 5 relations: 628489
  115. Wed Dec 7 16:21:09 2022 6 relations: 617827
  116. Wed Dec 7 16:21:09 2022 7 relations: 596105
  117. Wed Dec 7 16:21:09 2022 8 relations: 560322
  118. Wed Dec 7 16:21:09 2022 9 relations: 517133
  119. Wed Dec 7 16:21:09 2022 10+ relations: 2543344
  120. Wed Dec 7 16:21:09 2022 heaviest cycle: 26 relations
  121. Wed Dec 7 16:21:24 2022 RelProcTime: 4743
  122. Wed Dec 7 16:21:24 2022 elapsed time 01:19:04
  123. Wed Dec 7 16:29:49 2022
  124. Wed Dec 7 16:29:49 2022
  125. Wed Dec 7 16:29:49 2022 Msieve v. 1.54 (SVN 1028)
  126. Wed Dec 7 16:29:49 2022 random seeds: c7428a3b acde402d
  127. Wed Dec 7 16:29:49 2022 factoring 16192653180263380311121310759949129923101439130017465752802405040046484840490884987396600462001519515171025943628208912153988265007815843450216451754922531793300738100571679841 (176 digits)
  128. Wed Dec 7 16:29:49 2022 no P-1/P+1/ECM available, skipping
  129. Wed Dec 7 16:29:49 2022 commencing number field sieve (176-digit input)
  130. Wed Dec 7 16:29:49 2022 R0: 21778071482940061661655974875633165533184
  131. Wed Dec 7 16:29:49 2022 R1: -1
  132. Wed Dec 7 16:29:49 2022 A0: -4
  133. Wed Dec 7 16:29:49 2022 A1: 0
  134. Wed Dec 7 16:29:49 2022 A2: 0
  135. Wed Dec 7 16:29:49 2022 A3: 0
  136. Wed Dec 7 16:29:49 2022 A4: 0
  137. Wed Dec 7 16:29:49 2022 A5: 0
  138. Wed Dec 7 16:29:49 2022 A6: 5
  139. Wed Dec 7 16:29:49 2022 skew 0.97, size 4.706e-12, alpha 2.070, combined = 3.681e-13 rroots = 2
  140. Wed Dec 7 16:29:49 2022
  141. Wed Dec 7 16:29:49 2022 commencing linear algebra
  142. Wed Dec 7 16:29:50 2022 read 7874677 cycles
  143. Wed Dec 7 16:30:08 2022 cycles contain 27845912 unique relations
  144. Wed Dec 7 16:32:55 2022 read 27845912 relations
  145. Wed Dec 7 16:33:42 2022 using 20 quadratic characters above 4294917295
  146. Wed Dec 7 16:35:51 2022 building initial matrix
  147. Wed Dec 7 16:40:41 2022 memory use: 3412.8 MB
  148. Wed Dec 7 16:40:45 2022 read 7874677 cycles
  149. Wed Dec 7 16:40:46 2022 matrix is 7874492 x 7874677 (3387.0 MB) with weight 962783200 (122.26/col)
  150. Wed Dec 7 16:40:46 2022 sparse part has weight 801260889 (101.75/col)
  151. Wed Dec 7 16:42:55 2022 filtering completed in 2 passes
  152. Wed Dec 7 16:42:57 2022 matrix is 7872558 x 7872741 (3386.8 MB) with weight 962701396 (122.28/col)
  153. Wed Dec 7 16:42:57 2022 sparse part has weight 801219684 (101.77/col)
  154. Wed Dec 7 16:43:19 2022 matrix starts at (0, 0)
  155. Wed Dec 7 16:43:20 2022 matrix is 7872558 x 7872741 (3386.8 MB) with weight 962701396 (122.28/col)
  156. Wed Dec 7 16:43:20 2022 sparse part has weight 801219684 (101.77/col)
  157. Wed Dec 7 16:43:20 2022 saving the first 112 matrix rows for later
  158. Wed Dec 7 16:43:22 2022 matrix includes 128 packed rows
  159. Wed Dec 7 16:43:24 2022 matrix is 7872446 x 7872741 (3146.4 MB) with weight 771229640 (97.96/col)
  160. Wed Dec 7 16:43:24 2022 sparse part has weight 730337318 (92.77/col)
  161. Wed Dec 7 16:43:24 2022 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB
  162. Wed Dec 7 16:43:50 2022 commencing Lanczos iteration (10 threads)
  163. Wed Dec 7 16:43:50 2022 memory use: 3516.6 MB
  164. Wed Dec 7 16:44:18 2022 linear algebra at 0.0%, ETA 35h46m
  165. Wed Dec 7 16:44:25 2022 checkpointing every 230000 dimensions
  166. Thu Dec 8 21:52:07 2022 lanczos halted after 61876 iterations (dim = 7872441)
  167. Thu Dec 8 21:52:24 2022 recovered 39 nontrivial dependencies
  168. Thu Dec 8 21:52:24 2022 BLanczosTime: 105755
  169. Thu Dec 8 21:52:24 2022
  170. Thu Dec 8 21:52:24 2022 commencing square root phase
  171. Thu Dec 8 21:52:24 2022 reading relations for dependency 1
  172. Thu Dec 8 21:52:25 2022 read 3937020 cycles
  173. Thu Dec 8 21:52:33 2022 cycles contain 13922550 unique relations
  174. Thu Dec 8 21:54:19 2022 read 13922550 relations
  175. Thu Dec 8 21:55:30 2022 multiplying 13922550 relations
  176. Thu Dec 8 22:06:06 2022 multiply complete, coefficients have about 382.38 million bits
  177. Thu Dec 8 22:06:08 2022 initial square root is modulo 7264513
  178. Thu Dec 8 22:18:08 2022 sqrtTime: 1544
  179. Thu Dec 8 22:18:08 2022 p74 factor: 35899689322877569917787206182909111156849887267577777445170356639697575301
  180. Thu Dec 8 22:18:08 2022 p102 factor: 451052738496664085322724204528226738548968110198744481608042911758011827048196758958003947631780842541
  181. Thu Dec 8 22:18:08 2022 elapsed time 29:48:19
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