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gchilders

157__041_11m1

Jan 7th, 2022
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  1. Fri Jan 7 02:15:44 2022
  2. Fri Jan 7 02:15:44 2022
  3. Fri Jan 7 02:15:44 2022 Msieve v. 1.54 (SVN unknown)
  4. Fri Jan 7 02:15:44 2022 random seeds: 2537a1d5 a98b5386
  5. Fri Jan 7 02:15:44 2022 factoring 5438728385156524818155137384687402555918071942334171980203149252318091802296541108871708481510066435129955482523469644017411479430153230277940490921209069958362422574760412693505899327 (184 digits)
  6. Fri Jan 7 02:15:45 2022 no P-1/P+1/ECM available, skipping
  7. Fri Jan 7 02:15:45 2022 commencing number field sieve (184-digit input)
  8. Fri Jan 7 02:15:45 2022 R0: 24702266749645792945146795051956894838971347682
  9. Fri Jan 7 02:15:45 2022 R1: -157169547780878319053041
  10. Fri Jan 7 02:15:45 2022 A0: 1
  11. Fri Jan 7 02:15:45 2022 A1: 3
  12. Fri Jan 7 02:15:45 2022 A2: -3
  13. Fri Jan 7 02:15:45 2022 A3: -4
  14. Fri Jan 7 02:15:45 2022 A4: 1
  15. Fri Jan 7 02:15:45 2022 A5: 1
  16. Fri Jan 7 02:15:45 2022 skew 1.00, size 8.735e-16, alpha 2.379, combined = 8.584e-13 rroots = 5
  17. Fri Jan 7 02:15:45 2022
  18. Fri Jan 7 02:15:45 2022 commencing relation filtering
  19. Fri Jan 7 02:15:45 2022 setting target matrix density to 100.0
  20. Fri Jan 7 02:15:45 2022 estimated available RAM is 515600.8 MB
  21. Fri Jan 7 02:15:45 2022 commencing duplicate removal, pass 1
  22. Fri Jan 7 02:16:30 2022 error -15 reading relation 9713777
  23. Fri Jan 7 02:16:30 2022 error -9 reading relation 9714163
  24. Fri Jan 7 02:16:36 2022 error -9 reading relation 11098202
  25. Fri Jan 7 02:17:31 2022 error -9 reading relation 22959044
  26. Fri Jan 7 02:17:34 2022 error -15 reading relation 23678234
  27. Fri Jan 7 02:17:34 2022 error -15 reading relation 23681908
  28. Fri Jan 7 02:18:25 2022 error -9 reading relation 34603956
  29. Fri Jan 7 02:21:13 2022 error -9 reading relation 70893441
  30. Fri Jan 7 02:21:18 2022 error -9 reading relation 71959393
  31. Fri Jan 7 02:21:21 2022 error -15 reading relation 72673251
  32. Fri Jan 7 02:23:32 2022 skipped 41 relations with b > 2^32
  33. Fri Jan 7 02:23:32 2022 skipped 5 relations with composite factors
  34. Fri Jan 7 02:23:32 2022 found 4387716 hash collisions in 100096814 relations
  35. Fri Jan 7 02:23:32 2022 commencing duplicate removal, pass 2
  36. Fri Jan 7 02:23:49 2022 found 0 duplicates and 100096814 unique relations
  37. Fri Jan 7 02:23:49 2022 memory use: 261.2 MB
  38. Fri Jan 7 02:23:49 2022 reading ideals above 720000
  39. Fri Jan 7 02:23:49 2022 commencing singleton removal, initial pass
  40. Fri Jan 7 02:31:43 2022 memory use: 2756.0 MB
  41. Fri Jan 7 02:31:43 2022 reading all ideals from disk
  42. Fri Jan 7 02:31:43 2022 memory use: 3806.9 MB
  43. Fri Jan 7 02:31:46 2022 keeping 91509150 ideals with weight <= 200, target excess is 493222
  44. Fri Jan 7 02:31:51 2022 commencing in-memory singleton removal
  45. Fri Jan 7 02:31:54 2022 begin with 100096814 relations and 91509150 unique ideals
  46. Fri Jan 7 02:32:26 2022 reduce to 67575152 relations and 55842501 ideals in 14 passes
  47. Fri Jan 7 02:32:26 2022 max relations containing the same ideal: 166
  48. Fri Jan 7 02:32:42 2022 removing 8681684 relations and 6681684 ideals in 2000000 cliques
  49. Fri Jan 7 02:32:44 2022 commencing in-memory singleton removal
  50. Fri Jan 7 02:32:46 2022 begin with 58893468 relations and 55842501 unique ideals
  51. Fri Jan 7 02:33:02 2022 reduce to 57890152 relations and 48119752 ideals in 9 passes
  52. Fri Jan 7 02:33:02 2022 max relations containing the same ideal: 147
  53. Fri Jan 7 02:33:16 2022 removing 7039253 relations and 5039253 ideals in 2000000 cliques
  54. Fri Jan 7 02:33:18 2022 commencing in-memory singleton removal
  55. Fri Jan 7 02:33:19 2022 begin with 50850899 relations and 48119752 unique ideals
  56. Fri Jan 7 02:33:33 2022 reduce to 50110174 relations and 42313567 ideals in 9 passes
  57. Fri Jan 7 02:33:33 2022 max relations containing the same ideal: 137
  58. Fri Jan 7 02:33:45 2022 removing 6611516 relations and 4611516 ideals in 2000000 cliques
  59. Fri Jan 7 02:33:47 2022 commencing in-memory singleton removal
  60. Fri Jan 7 02:33:48 2022 begin with 43498658 relations and 42313567 unique ideals
  61. Fri Jan 7 02:33:59 2022 reduce to 42770686 relations and 36945958 ideals in 8 passes
  62. Fri Jan 7 02:33:59 2022 max relations containing the same ideal: 124
  63. Fri Jan 7 02:34:09 2022 removing 6448913 relations and 4448913 ideals in 2000000 cliques
  64. Fri Jan 7 02:34:11 2022 commencing in-memory singleton removal
  65. Fri Jan 7 02:34:12 2022 begin with 36321773 relations and 36945958 unique ideals
  66. Fri Jan 7 02:34:21 2022 reduce to 35528694 relations and 31669565 ideals in 8 passes
  67. Fri Jan 7 02:34:21 2022 max relations containing the same ideal: 110
  68. Fri Jan 7 02:34:30 2022 removing 6406249 relations and 4406249 ideals in 2000000 cliques
  69. Fri Jan 7 02:34:31 2022 commencing in-memory singleton removal
  70. Fri Jan 7 02:34:32 2022 begin with 29122445 relations and 31669565 unique ideals
  71. Fri Jan 7 02:34:39 2022 reduce to 28194661 relations and 26287145 ideals in 8 passes
  72. Fri Jan 7 02:34:39 2022 max relations containing the same ideal: 88
  73. Fri Jan 7 02:34:46 2022 removing 4691466 relations and 3356088 ideals in 1335378 cliques
  74. Fri Jan 7 02:34:47 2022 commencing in-memory singleton removal
  75. Fri Jan 7 02:34:48 2022 begin with 23503195 relations and 26287145 unique ideals
  76. Fri Jan 7 02:34:54 2022 reduce to 22871934 relations and 22271616 ideals in 9 passes
  77. Fri Jan 7 02:34:54 2022 max relations containing the same ideal: 77
  78. Fri Jan 7 02:35:00 2022 removing 205041 relations and 176861 ideals in 28180 cliques
  79. Fri Jan 7 02:35:01 2022 commencing in-memory singleton removal
  80. Fri Jan 7 02:35:01 2022 begin with 22666893 relations and 22271616 unique ideals
  81. Fri Jan 7 02:35:05 2022 reduce to 22665591 relations and 22093449 ideals in 5 passes
  82. Fri Jan 7 02:35:05 2022 max relations containing the same ideal: 77
  83. Fri Jan 7 02:35:08 2022 relations with 0 large ideals: 40012
  84. Fri Jan 7 02:35:08 2022 relations with 1 large ideals: 6923
  85. Fri Jan 7 02:35:08 2022 relations with 2 large ideals: 82695
  86. Fri Jan 7 02:35:08 2022 relations with 3 large ideals: 556164
  87. Fri Jan 7 02:35:08 2022 relations with 4 large ideals: 2027476
  88. Fri Jan 7 02:35:08 2022 relations with 5 large ideals: 4432786
  89. Fri Jan 7 02:35:08 2022 relations with 6 large ideals: 6798129
  90. Fri Jan 7 02:35:08 2022 relations with 7+ large ideals: 8721406
  91. Fri Jan 7 02:35:08 2022 commencing 2-way merge
  92. Fri Jan 7 02:35:15 2022 reduce to 14879459 relation sets and 14307317 unique ideals
  93. Fri Jan 7 02:35:15 2022 commencing full merge
  94. Fri Jan 7 02:38:48 2022 memory use: 1928.0 MB
  95. Fri Jan 7 02:38:49 2022 found 6972795 cycles, need 6935517
  96. Fri Jan 7 02:38:51 2022 weight of 6935517 cycles is about 693876868 (100.05/cycle)
  97. Fri Jan 7 02:38:51 2022 distribution of cycle lengths:
  98. Fri Jan 7 02:38:51 2022 1 relations: 485590
  99. Fri Jan 7 02:38:51 2022 2 relations: 550488
  100. Fri Jan 7 02:38:51 2022 3 relations: 569159
  101. Fri Jan 7 02:38:51 2022 4 relations: 553535
  102. Fri Jan 7 02:38:51 2022 5 relations: 541645
  103. Fri Jan 7 02:38:51 2022 6 relations: 520156
  104. Fri Jan 7 02:38:51 2022 7 relations: 491899
  105. Fri Jan 7 02:38:51 2022 8 relations: 458352
  106. Fri Jan 7 02:38:51 2022 9 relations: 420113
  107. Fri Jan 7 02:38:51 2022 10+ relations: 2344580
  108. Fri Jan 7 02:38:51 2022 heaviest cycle: 28 relations
  109. Fri Jan 7 02:38:52 2022 commencing cycle optimization
  110. Fri Jan 7 02:39:00 2022 start with 55453400 relations
  111. Fri Jan 7 02:40:13 2022 pruned 2311942 relations
  112. Fri Jan 7 02:40:13 2022 memory use: 1506.2 MB
  113. Fri Jan 7 02:40:13 2022 distribution of cycle lengths:
  114. Fri Jan 7 02:40:13 2022 1 relations: 485590
  115. Fri Jan 7 02:40:13 2022 2 relations: 561516
  116. Fri Jan 7 02:40:13 2022 3 relations: 590810
  117. Fri Jan 7 02:40:13 2022 4 relations: 574309
  118. Fri Jan 7 02:40:13 2022 5 relations: 566265
  119. Fri Jan 7 02:40:13 2022 6 relations: 542328
  120. Fri Jan 7 02:40:13 2022 7 relations: 514153
  121. Fri Jan 7 02:40:13 2022 8 relations: 476319
  122. Fri Jan 7 02:40:13 2022 9 relations: 434850
  123. Fri Jan 7 02:40:13 2022 10+ relations: 2189377
  124. Fri Jan 7 02:40:13 2022 heaviest cycle: 28 relations
  125. Fri Jan 7 02:40:20 2022 RelProcTime: 1475
  126. Fri Jan 7 02:40:20 2022
  127. Fri Jan 7 02:40:20 2022 commencing linear algebra
  128. Fri Jan 7 02:40:20 2022 using VBITS=384
  129. Fri Jan 7 02:40:20 2022 read 6935517 cycles
  130. Fri Jan 7 02:40:28 2022 cycles contain 22321008 unique relations
  131. Fri Jan 7 02:41:42 2022 read 22321008 relations
  132. Fri Jan 7 02:42:06 2022 using 20 quadratic characters above 4294917295
  133. Fri Jan 7 02:43:07 2022 building initial matrix
  134. Fri Jan 7 02:45:33 2022 memory use: 2751.1 MB
  135. Fri Jan 7 02:45:35 2022 read 6935517 cycles
  136. Fri Jan 7 02:45:36 2022 matrix is 6935340 x 6935517 (2788.7 MB) with weight 797781600 (115.03/col)
  137. Fri Jan 7 02:45:36 2022 sparse part has weight 654738216 (94.40/col)
  138. Fri Jan 7 02:46:14 2022 filtering completed in 2 passes
  139. Fri Jan 7 02:46:15 2022 matrix is 6934850 x 6935000 (2788.6 MB) with weight 797762270 (115.03/col)
  140. Fri Jan 7 02:46:15 2022 sparse part has weight 654729595 (94.41/col)
  141. Fri Jan 7 02:46:25 2022 matrix starts at (0, 0)
  142. Fri Jan 7 02:46:25 2022 matrix is 6934850 x 6935000 (2788.6 MB) with weight 797762270 (115.03/col)
  143. Fri Jan 7 02:46:25 2022 sparse part has weight 654729595 (94.41/col)
  144. Fri Jan 7 02:46:25 2022 saving the first 368 matrix rows for later
  145. Fri Jan 7 02:46:26 2022 matrix includes 384 packed rows
  146. Fri Jan 7 02:46:29 2022 matrix is 6934482 x 6935000 (2614.3 MB) with weight 577110473 (83.22/col)
  147. Fri Jan 7 02:46:29 2022 sparse part has weight 546616048 (78.82/col)
  148. Fri Jan 7 02:46:29 2022 using GPU 1 (Tesla V100-PCIE-32GB)
  149. Fri Jan 7 02:46:29 2022 selected card has CUDA arch 7.0
  150. Fri Jan 7 02:46:51 2022 commencing Lanczos iteration
  151. Fri Jan 7 02:46:51 2022 memory use: 6762.9 MB
  152. Fri Jan 7 02:46:54 2022 linear algebra at 0.0%, ETA 1h40m
  153. Fri Jan 7 02:46:55 2022 checkpointing every 3800000 dimensions
  154. Fri Jan 7 04:25:06 2022 lanczos halted after 18096 iterations (dim = 6934477)
  155. Fri Jan 7 04:25:42 2022 recovered 33 nontrivial dependencies
  156. Fri Jan 7 04:25:42 2022 BLanczosTime: 6322
  157. Fri Jan 7 04:25:42 2022
  158. Fri Jan 7 04:25:42 2022 commencing square root phase
  159. Fri Jan 7 04:25:43 2022 handling dependencies 1 to 64
  160. Fri Jan 7 04:25:43 2022 reading relations for dependency 1
  161. Fri Jan 7 04:25:43 2022 read 3466917 cycles
  162. Fri Jan 7 04:25:47 2022 cycles contain 11157314 unique relations
  163. Fri Jan 7 04:26:28 2022 read 11157314 relations
  164. Fri Jan 7 04:26:57 2022 multiplying 11157314 relations
  165. Fri Jan 7 04:30:10 2022 multiply complete, coefficients have about 276.43 million bits
  166. Fri Jan 7 04:30:10 2022 initial square root is modulo 91243
  167. Fri Jan 7 04:34:00 2022 sqrtTime: 498
  168. Fri Jan 7 04:34:00 2022 p86 factor: 87911379155276582059536079209110209513692029522157518326554477687052519142126985764267
  169. Fri Jan 7 04:34:00 2022 p98 factor: 61866034151849426562600369853927365578627282219992037996424631140829256104693011946409291234901181
  170. Fri Jan 7 04:34:00 2022 elapsed time 02:18:16
  171.  
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