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13_2_946m1

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Oct 5th, 2023
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  1. Wed Oct 4 18:23:58 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Wed Oct 4 18:23:58 2023 random seeds: 2704de4f aa3830ee
  3. Wed Oct 4 18:23:58 2023 Using 16 OpenMP threads
  4. Wed Oct 4 18:23:58 2023 factoring 32438574918867517886203025344531715562219333213807863739459706671000219749142033646629624478715758851927475673676852179462616673546711761148148227696047735194918848633981678677886411083986260832568853882841085066576655633240550767419913194577666398506303 (254 digits)
  5. Wed Oct 4 18:23:58 2023 no P-1/P+1/ECM available, skipping
  6. Wed Oct 4 18:23:58 2023 commencing number field sieve (254-digit input)
  7. Wed Oct 4 18:23:58 2023 R0: 365375409332725729550921208179070754913983135744
  8. Wed Oct 4 18:23:58 2023 R1: -1
  9. Wed Oct 4 18:23:58 2023 A0: -4
  10. Wed Oct 4 18:23:58 2023 A1: 0
  11. Wed Oct 4 18:23:58 2023 A2: 0
  12. Wed Oct 4 18:23:58 2023 A3: 0
  13. Wed Oct 4 18:23:58 2023 A4: 0
  14. Wed Oct 4 18:23:58 2023 A5: 0
  15. Wed Oct 4 18:23:58 2023 A6: 13
  16. Wed Oct 4 18:23:58 2023 skew 0.83, size 4.383e-14, alpha 1.244, combined = 1.059e-14 rroots = 2
  17. Wed Oct 4 18:23:58 2023
  18. Wed Oct 4 18:23:58 2023 commencing relation filtering
  19. Wed Oct 4 18:23:58 2023 setting target matrix density to 100.0
  20. Wed Oct 4 18:23:58 2023 estimated available RAM is 128734.5 MB
  21. Wed Oct 4 18:23:58 2023 commencing duplicate removal, pass 1
  22. Wed Oct 4 18:26:20 2023 skipped 2437 relations with b > 2^32
  23. Wed Oct 4 18:26:20 2023 found 7799552 hash collisions in 134854663 relations
  24. Wed Oct 4 18:26:28 2023 added 1218764 free relations
  25. Wed Oct 4 18:26:28 2023 commencing duplicate removal, pass 2
  26. Wed Oct 4 18:27:54 2023 found 0 duplicates and 136073427 unique relations
  27. Wed Oct 4 18:27:54 2023 memory use: 426.4 MB
  28. Wed Oct 4 18:27:54 2023 reading ideals above 720000
  29. Wed Oct 4 18:27:55 2023 commencing singleton removal, initial pass
  30. Wed Oct 4 18:33:00 2023 memory use: 3012.0 MB
  31. Wed Oct 4 18:33:01 2023 reading all ideals from disk
  32. Wed Oct 4 18:33:01 2023 memory use: 6947.2 MB
  33. Wed Oct 4 18:33:08 2023 keeping 134153958 ideals with weight <= 200, target excess is 742673
  34. Wed Oct 4 18:33:16 2023 commencing in-memory singleton removal
  35. Wed Oct 4 18:33:18 2023 begin with 136073427 relations and 134153958 unique ideals
  36. Wed Oct 4 18:33:26 2023 reduce to 136033360 relations and 134111472 ideals in 5 passes
  37. Wed Oct 4 18:33:26 2023 max relations containing the same ideal: 200
  38. Wed Oct 4 18:33:54 2023 removing 2169543 relations and 1769543 ideals in 400000 cliques
  39. Wed Oct 4 18:33:56 2023 commencing in-memory singleton removal
  40. Wed Oct 4 18:33:59 2023 begin with 133863817 relations and 134111472 unique ideals
  41. Wed Oct 4 18:34:09 2023 reduce to 133841636 relations and 132319699 ideals in 7 passes
  42. Wed Oct 4 18:34:09 2023 max relations containing the same ideal: 200
  43. Wed Oct 4 18:34:37 2023 removing 2045190 relations and 1645190 ideals in 400000 cliques
  44. Wed Oct 4 18:34:39 2023 commencing in-memory singleton removal
  45. Wed Oct 4 18:34:41 2023 begin with 131796446 relations and 132319699 unique ideals
  46. Wed Oct 4 18:34:50 2023 reduce to 131774859 relations and 130652863 ideals in 6 passes
  47. Wed Oct 4 18:34:50 2023 max relations containing the same ideal: 200
  48. Wed Oct 4 18:35:18 2023 removing 1377816 relations and 1117321 ideals in 260495 cliques
  49. Wed Oct 4 18:35:19 2023 commencing in-memory singleton removal
  50. Wed Oct 4 18:35:22 2023 begin with 130397043 relations and 130652863 unique ideals
  51. Wed Oct 4 18:35:30 2023 reduce to 130386945 relations and 129525426 ideals in 5 passes
  52. Wed Oct 4 18:35:30 2023 max relations containing the same ideal: 199
  53. Wed Oct 4 18:35:44 2023 relations with 0 large ideals: 28274
  54. Wed Oct 4 18:35:44 2023 relations with 1 large ideals: 2657
  55. Wed Oct 4 18:35:44 2023 relations with 2 large ideals: 36367
  56. Wed Oct 4 18:35:44 2023 relations with 3 large ideals: 389870
  57. Wed Oct 4 18:35:44 2023 relations with 4 large ideals: 2372925
  58. Wed Oct 4 18:35:44 2023 relations with 5 large ideals: 8837305
  59. Wed Oct 4 18:35:44 2023 relations with 6 large ideals: 21048275
  60. Wed Oct 4 18:35:44 2023 relations with 7+ large ideals: 97671272
  61. Wed Oct 4 18:35:44 2023 commencing 2-way merge
  62. Wed Oct 4 18:36:30 2023 reduce to 81099088 relation sets and 80237569 unique ideals
  63. Wed Oct 4 18:36:30 2023 commencing full merge
  64. Wed Oct 4 18:54:32 2023 memory use: 10144.5 MB
  65. Wed Oct 4 18:54:37 2023 found 39283399 cycles, need 39177769
  66. Wed Oct 4 18:54:45 2023 weight of 39177769 cycles is about 3918042484 (100.01/cycle)
  67. Wed Oct 4 18:54:45 2023 distribution of cycle lengths:
  68. Wed Oct 4 18:54:45 2023 1 relations: 3361668
  69. Wed Oct 4 18:54:45 2023 2 relations: 3508726
  70. Wed Oct 4 18:54:45 2023 3 relations: 3633203
  71. Wed Oct 4 18:54:45 2023 4 relations: 3463142
  72. Wed Oct 4 18:54:45 2023 5 relations: 3345438
  73. Wed Oct 4 18:54:46 2023 6 relations: 3161016
  74. Wed Oct 4 18:54:46 2023 7 relations: 2937821
  75. Wed Oct 4 18:54:46 2023 8 relations: 2678849
  76. Wed Oct 4 18:54:46 2023 9 relations: 2427222
  77. Wed Oct 4 18:54:46 2023 10+ relations: 10660684
  78. Wed Oct 4 18:54:46 2023 heaviest cycle: 27 relations
  79. Wed Oct 4 18:54:52 2023 commencing cycle optimization
  80. Wed Oct 4 18:55:35 2023 start with 274422766 relations
  81. Wed Oct 4 19:00:34 2023 pruned 8369092 relations
  82. Wed Oct 4 19:00:36 2023 memory use: 8237.5 MB
  83. Wed Oct 4 19:00:36 2023 distribution of cycle lengths:
  84. Wed Oct 4 19:00:36 2023 1 relations: 3361668
  85. Wed Oct 4 19:00:36 2023 2 relations: 3586784
  86. Wed Oct 4 19:00:36 2023 3 relations: 3765129
  87. Wed Oct 4 19:00:36 2023 4 relations: 3568937
  88. Wed Oct 4 19:00:36 2023 5 relations: 3456965
  89. Wed Oct 4 19:00:36 2023 6 relations: 3246140
  90. Wed Oct 4 19:00:36 2023 7 relations: 3017490
  91. Wed Oct 4 19:00:36 2023 8 relations: 2735481
  92. Wed Oct 4 19:00:36 2023 9 relations: 2466639
  93. Wed Oct 4 19:00:36 2023 10+ relations: 9972536
  94. Wed Oct 4 19:00:36 2023 heaviest cycle: 27 relations
  95. Wed Oct 4 19:01:19 2023 RelProcTime: 2241
  96. Wed Oct 4 19:01:19 2023 elapsed time 00:37:21
  97. Wed Oct 4 19:24:27 2023
  98. Wed Oct 4 19:24:27 2023
  99. Wed Oct 4 19:24:27 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  100. Wed Oct 4 19:24:27 2023 random seeds: d750c9aa 7c2b0b6a
  101. Wed Oct 4 19:24:27 2023 MPI process 0 of 2
  102. Wed Oct 4 19:24:27 2023 Using 8 OpenMP threads
  103. Wed Oct 4 19:24:27 2023 factoring 32438574918867517886203025344531715562219333213807863739459706671000219749142033646629624478715758851927475673676852179462616673546711761148148227696047735194918848633981678677886411083986260832568853882841085066576655633240550767419913194577666398506303 (254 digits)
  104. Wed Oct 4 19:24:28 2023 no P-1/P+1/ECM available, skipping
  105. Wed Oct 4 19:24:28 2023 commencing number field sieve (254-digit input)
  106. Wed Oct 4 19:24:28 2023 R0: 365375409332725729550921208179070754913983135744
  107. Wed Oct 4 19:24:28 2023 R1: -1
  108. Wed Oct 4 19:24:28 2023 A0: -4
  109. Wed Oct 4 19:24:28 2023 A1: 0
  110. Wed Oct 4 19:24:28 2023 A2: 0
  111. Wed Oct 4 19:24:28 2023 A3: 0
  112. Wed Oct 4 19:24:28 2023 A4: 0
  113. Wed Oct 4 19:24:28 2023 A5: 0
  114. Wed Oct 4 19:24:28 2023 A6: 13
  115. Wed Oct 4 19:24:28 2023 skew 0.83, size 4.383e-14, alpha 1.244, combined = 1.059e-14 rroots = 2
  116. Wed Oct 4 19:24:28 2023
  117. Wed Oct 4 19:24:28 2023 commencing linear algebra
  118. Wed Oct 4 19:24:28 2023 using VBITS=256
  119. Wed Oct 4 19:24:28 2023 initialized process (0,0) of 1 x 2 grid
  120. Wed Oct 4 19:24:30 2023 read 39177769 cycles
  121. Wed Oct 4 19:25:10 2023 cycles contain 129927495 unique relations
  122. Wed Oct 4 19:27:20 2023 read 129927495 relations
  123. Wed Oct 4 19:27:48 2023 using 20 quadratic characters above 4294917295
  124. Wed Oct 4 19:28:36 2023 building initial matrix
  125. Wed Oct 4 19:43:26 2023 memory use: 16141.2 MB
  126. Wed Oct 4 19:43:43 2023 read 39177769 cycles
  127. Wed Oct 4 19:43:48 2023 matrix is 39177592 x 39177769 (15759.4 MB) with weight 4494501803 (114.72/col)
  128. Wed Oct 4 19:43:48 2023 sparse part has weight 3739463335 (95.45/col)
  129. Wed Oct 4 19:47:43 2023 filtering completed in 2 passes
  130. Wed Oct 4 19:47:48 2023 matrix is 39176345 x 39176516 (15759.4 MB) with weight 4494470054 (114.72/col)
  131. Wed Oct 4 19:47:48 2023 sparse part has weight 3739455821 (95.45/col)
  132. Wed Oct 4 19:48:54 2023 matrix starts at (0, 0)
  133. Wed Oct 4 19:48:56 2023 matrix is 39176345 x 19588268 (7879.7 MB) with weight 2247233499 (114.72/col)
  134. Wed Oct 4 19:48:56 2023 sparse part has weight 1869728092 (95.45/col)
  135. Wed Oct 4 19:48:56 2023 saving the first 240 matrix rows for later
  136. Wed Oct 4 19:48:58 2023 matrix includes 256 packed rows
  137. Wed Oct 4 19:49:05 2023 matrix is 39176105 x 19588268 (7436.7 MB) with weight 1715226781 (87.56/col)
  138. Wed Oct 4 19:49:05 2023 sparse part has weight 1636061291 (83.52/col)
  139. Wed Oct 4 19:49:05 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  140. Wed Oct 4 19:49:05 2023 selected card has CUDA arch 8.6
  141. Wed Oct 4 19:50:26 2023 commencing Lanczos iteration
  142. Wed Oct 4 19:50:27 2023 memory use: 19356.7 MB
  143. Wed Oct 4 19:51:29 2023 linear algebra at 0.1%, ETA 21h18m
  144. Wed Oct 4 19:53:04 2023 checking every 20000 dimensions, checkpointing every 1800000 dimensions
  145. Thu Oct 5 18:05:01 2023 lanczos halted after 153491 iterations (dim = 39176105)
  146. Thu Oct 5 18:07:24 2023 recovered 38 nontrivial dependencies
  147. Thu Oct 5 18:07:24 2023 BLanczosTime: 81776
  148. Thu Oct 5 18:07:24 2023 elapsed time 22:42:57
  149. Thu Oct 5 18:07:25 2023
  150. Thu Oct 5 18:07:25 2023
  151. Thu Oct 5 18:07:25 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  152. Thu Oct 5 18:07:25 2023 random seeds: 8a836969 fb8fbe07
  153. Thu Oct 5 18:07:25 2023 Using 16 OpenMP threads
  154. Thu Oct 5 18:07:25 2023 factoring 32438574918867517886203025344531715562219333213807863739459706671000219749142033646629624478715758851927475673676852179462616673546711761148148227696047735194918848633981678677886411083986260832568853882841085066576655633240550767419913194577666398506303 (254 digits)
  155. Thu Oct 5 18:07:26 2023 no P-1/P+1/ECM available, skipping
  156. Thu Oct 5 18:07:26 2023 commencing number field sieve (254-digit input)
  157. Thu Oct 5 18:07:26 2023 R0: 365375409332725729550921208179070754913983135744
  158. Thu Oct 5 18:07:26 2023 R1: -1
  159. Thu Oct 5 18:07:26 2023 A0: -4
  160. Thu Oct 5 18:07:26 2023 A1: 0
  161. Thu Oct 5 18:07:26 2023 A2: 0
  162. Thu Oct 5 18:07:26 2023 A3: 0
  163. Thu Oct 5 18:07:26 2023 A4: 0
  164. Thu Oct 5 18:07:26 2023 A5: 0
  165. Thu Oct 5 18:07:26 2023 A6: 13
  166. Thu Oct 5 18:07:26 2023 skew 0.83, size 4.383e-14, alpha 1.244, combined = 1.059e-14 rroots = 2
  167. Thu Oct 5 18:07:26 2023
  168. Thu Oct 5 18:07:26 2023 commencing square root phase
  169. Thu Oct 5 18:07:26 2023 reading relations for dependency 1
  170. Thu Oct 5 18:07:31 2023 read 19589914 cycles
  171. Thu Oct 5 18:08:15 2023 cycles contain 64966914 unique relations
  172. Thu Oct 5 18:10:07 2023 read 64966914 relations
  173. Thu Oct 5 18:13:14 2023 multiplying 64966914 relations
  174. Thu Oct 5 18:18:31 2023 multiply complete, coefficients have about 1973.36 million bits
  175. Thu Oct 5 18:18:34 2023 initial square root is modulo 711093571
  176. Thu Oct 5 18:27:23 2023 sqrtTime: 1197
  177. Thu Oct 5 18:27:23 2023 p74 factor: 13179614833870915222068490156733249071915688010107744020077116881633331479
  178. Thu Oct 5 18:27:23 2023 p181 factor: 2461268810033969329879129285742531111171896599975425526539809445033906621557827799885255719182530173073276390300140335686580403472615901324615850229335090006596531405839049246828057
  179. Thu Oct 5 18:27:23 2023 elapsed time 00:19:58
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