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May 12th, 2024
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  1. Sun May 12 14:02:12 2024 Msieve v. 1.54 (SVN Unversioned directory)
  2. Sun May 12 14:02:12 2024 random seeds: 6826a242 d05c42fa
  3. Sun May 12 14:02:12 2024 Using 16 OpenMP threads
  4. Sun May 12 14:02:12 2024 factoring 6989612506894284794136067796445539076219364950255126280242854713992307588011296425371356170001319422146234757586190553403764537021369947456703810795390696338067840821169 (169 digits)
  5. Sun May 12 14:02:12 2024 no P-1/P+1/ECM available, skipping
  6. Sun May 12 14:02:12 2024 commencing number field sieve (169-digit input)
  7. Sun May 12 14:02:12 2024 reversing signs of algebraic polynomial
  8. Sun May 12 14:02:12 2024 R0: -562535910738163118489847453785390
  9. Sun May 12 14:02:12 2024 R1: 300005689367532437
  10. Sun May 12 14:02:12 2024 A0: 60715942487369426313297762506680558043997
  11. Sun May 12 14:02:12 2024 A1: -13433223349228436340469768689261114
  12. Sun May 12 14:02:12 2024 A2: -3184272038241958017138655613
  13. Sun May 12 14:02:12 2024 A3: 69034712655969991754
  14. Sun May 12 14:02:12 2024 A4: 29928214786336
  15. Sun May 12 14:02:12 2024 A5: 124080
  16. Sun May 12 14:02:12 2024 skew 14393666.30, size 1.675e-16, alpha -7.354, combined = 3.894e-13 rroots = 3
  17. Sun May 12 14:02:12 2024
  18. Sun May 12 14:02:12 2024 commencing relation filtering
  19. Sun May 12 14:02:12 2024 setting target matrix density to 120.0
  20. Sun May 12 14:02:12 2024 reversing signs of algebraic polynomial
  21. Sun May 12 14:02:12 2024 estimated available RAM is 64214.4 MB
  22. Sun May 12 14:02:12 2024 commencing duplicate removal, pass 1
  23. Sun May 12 14:05:15 2024 found 9754724 hash collisions in 211418290 relations
  24. Sun May 12 14:05:29 2024 commencing duplicate removal, pass 2
  25. Sun May 12 14:06:01 2024 found 0 duplicates and 211418290 unique relations
  26. Sun May 12 14:06:01 2024 memory use: 554.4 MB
  27. Sun May 12 14:06:01 2024 reading ideals above 720000
  28. Sun May 12 14:06:01 2024 commencing singleton removal, initial pass
  29. Sun May 12 14:12:53 2024 memory use: 6024.0 MB
  30. Sun May 12 14:12:54 2024 reading all ideals from disk
  31. Sun May 12 14:12:55 2024 memory use: 9794.2 MB
  32. Sun May 12 14:13:05 2024 keeping 219287221 ideals with weight <= 200, target excess is 1056299
  33. Sun May 12 14:13:19 2024 commencing in-memory singleton removal
  34. Sun May 12 14:13:22 2024 begin with 211418290 relations and 219287221 unique ideals
  35. Sun May 12 14:13:45 2024 reduce to 96741843 relations and 88055518 ideals in 19 passes
  36. Sun May 12 14:13:45 2024 max relations containing the same ideal: 121
  37. Sun May 12 14:14:07 2024 removing 8755528 relations and 7755528 ideals in 1000000 cliques
  38. Sun May 12 14:14:09 2024 commencing in-memory singleton removal
  39. Sun May 12 14:14:11 2024 begin with 87986315 relations and 88055518 unique ideals
  40. Sun May 12 14:14:19 2024 reduce to 87320639 relations and 79624865 ideals in 11 passes
  41. Sun May 12 14:14:19 2024 max relations containing the same ideal: 114
  42. Sun May 12 14:14:38 2024 removing 6555762 relations and 5555762 ideals in 1000000 cliques
  43. Sun May 12 14:14:40 2024 commencing in-memory singleton removal
  44. Sun May 12 14:14:41 2024 begin with 80764877 relations and 79624865 unique ideals
  45. Sun May 12 14:14:47 2024 reduce to 80335777 relations and 73634638 ideals in 9 passes
  46. Sun May 12 14:14:47 2024 max relations containing the same ideal: 107
  47. Sun May 12 14:15:04 2024 removing 5886782 relations and 4886782 ideals in 1000000 cliques
  48. Sun May 12 14:15:06 2024 commencing in-memory singleton removal
  49. Sun May 12 14:15:07 2024 begin with 74448995 relations and 73634638 unique ideals
  50. Sun May 12 14:15:13 2024 reduce to 74069110 relations and 68363213 ideals in 9 passes
  51. Sun May 12 14:15:13 2024 max relations containing the same ideal: 103
  52. Sun May 12 14:15:29 2024 removing 5552540 relations and 4552540 ideals in 1000000 cliques
  53. Sun May 12 14:15:30 2024 commencing in-memory singleton removal
  54. Sun May 12 14:15:31 2024 begin with 68516570 relations and 68363213 unique ideals
  55. Sun May 12 14:15:36 2024 reduce to 68149154 relations and 63438499 ideals in 9 passes
  56. Sun May 12 14:15:36 2024 max relations containing the same ideal: 101
  57. Sun May 12 14:15:51 2024 removing 5352811 relations and 4352811 ideals in 1000000 cliques
  58. Sun May 12 14:15:52 2024 commencing in-memory singleton removal
  59. Sun May 12 14:15:53 2024 begin with 62796343 relations and 63438499 unique ideals
  60. Sun May 12 14:15:57 2024 reduce to 62422549 relations and 58706906 ideals in 8 passes
  61. Sun May 12 14:15:57 2024 max relations containing the same ideal: 94
  62. Sun May 12 14:16:11 2024 removing 5239464 relations and 4239464 ideals in 1000000 cliques
  63. Sun May 12 14:16:12 2024 commencing in-memory singleton removal
  64. Sun May 12 14:16:13 2024 begin with 57183085 relations and 58706906 unique ideals
  65. Sun May 12 14:16:17 2024 reduce to 56791615 relations and 54070341 ideals in 9 passes
  66. Sun May 12 14:16:17 2024 max relations containing the same ideal: 90
  67. Sun May 12 14:16:29 2024 removing 5183216 relations and 4183216 ideals in 1000000 cliques
  68. Sun May 12 14:16:31 2024 commencing in-memory singleton removal
  69. Sun May 12 14:16:31 2024 begin with 51608399 relations and 54070341 unique ideals
  70. Sun May 12 14:16:35 2024 reduce to 51181503 relations and 49453534 ideals in 9 passes
  71. Sun May 12 14:16:35 2024 max relations containing the same ideal: 82
  72. Sun May 12 14:16:46 2024 removing 3010829 relations and 2508167 ideals in 502662 cliques
  73. Sun May 12 14:16:47 2024 commencing in-memory singleton removal
  74. Sun May 12 14:16:48 2024 begin with 48170674 relations and 49453534 unique ideals
  75. Sun May 12 14:16:51 2024 reduce to 48021988 relations and 46795334 ideals in 8 passes
  76. Sun May 12 14:16:51 2024 max relations containing the same ideal: 78
  77. Sun May 12 14:17:05 2024 relations with 0 large ideals: 3614
  78. Sun May 12 14:17:05 2024 relations with 1 large ideals: 27685
  79. Sun May 12 14:17:05 2024 relations with 2 large ideals: 373995
  80. Sun May 12 14:17:05 2024 relations with 3 large ideals: 2165344
  81. Sun May 12 14:17:05 2024 relations with 4 large ideals: 6736699
  82. Sun May 12 14:17:05 2024 relations with 5 large ideals: 12259733
  83. Sun May 12 14:17:05 2024 relations with 6 large ideals: 13490699
  84. Sun May 12 14:17:05 2024 relations with 7+ large ideals: 12964219
  85. Sun May 12 14:17:05 2024 commencing 2-way merge
  86. Sun May 12 14:17:22 2024 reduce to 28396101 relation sets and 27169447 unique ideals
  87. Sun May 12 14:17:22 2024 commencing full merge
  88. Sun May 12 14:23:16 2024 memory use: 3134.7 MB
  89. Sun May 12 14:23:17 2024 found 12154333 cycles, need 12151647
  90. Sun May 12 14:23:19 2024 weight of 12151647 cycles is about 1458358125 (120.01/cycle)
  91. Sun May 12 14:23:19 2024 distribution of cycle lengths:
  92. Sun May 12 14:23:19 2024 1 relations: 985837
  93. Sun May 12 14:23:19 2024 2 relations: 909349
  94. Sun May 12 14:23:19 2024 3 relations: 893428
  95. Sun May 12 14:23:19 2024 4 relations: 851474
  96. Sun May 12 14:23:19 2024 5 relations: 824743
  97. Sun May 12 14:23:19 2024 6 relations: 784752
  98. Sun May 12 14:23:19 2024 7 relations: 736560
  99. Sun May 12 14:23:19 2024 8 relations: 693633
  100. Sun May 12 14:23:19 2024 9 relations: 650867
  101. Sun May 12 14:23:19 2024 10+ relations: 4821004
  102. Sun May 12 14:23:19 2024 heaviest cycle: 28 relations
  103. Sun May 12 14:23:21 2024 commencing cycle optimization
  104. Sun May 12 14:23:36 2024 start with 107686972 relations
  105. Sun May 12 14:26:02 2024 pruned 3788082 relations
  106. Sun May 12 14:26:02 2024 memory use: 3043.8 MB
  107. Sun May 12 14:26:02 2024 distribution of cycle lengths:
  108. Sun May 12 14:26:02 2024 1 relations: 985837
  109. Sun May 12 14:26:02 2024 2 relations: 931619
  110. Sun May 12 14:26:02 2024 3 relations: 926861
  111. Sun May 12 14:26:02 2024 4 relations: 879126
  112. Sun May 12 14:26:02 2024 5 relations: 855033
  113. Sun May 12 14:26:02 2024 6 relations: 809823
  114. Sun May 12 14:26:02 2024 7 relations: 760766
  115. Sun May 12 14:26:02 2024 8 relations: 712985
  116. Sun May 12 14:26:02 2024 9 relations: 668236
  117. Sun May 12 14:26:02 2024 10+ relations: 4621361
  118. Sun May 12 14:26:02 2024 heaviest cycle: 28 relations
  119. Sun May 12 14:26:14 2024 RelProcTime: 1442
  120. Sun May 12 14:26:14 2024
  121. Sun May 12 14:26:14 2024 commencing linear algebra
  122. Sun May 12 14:26:14 2024 using VBITS=256
  123. Sun May 12 14:26:14 2024 reversing signs of algebraic polynomial
  124. Sun May 12 14:26:15 2024 read 12151647 cycles
  125. Sun May 12 14:26:28 2024 cycles contain 47045364 unique relations
  126. Sun May 12 14:26:49 2024 read 47045364 relations
  127. Sun May 12 14:26:56 2024 using 20 quadratic characters above 4294917295
  128. Sun May 12 14:27:07 2024 building initial matrix
  129. Sun May 12 14:32:49 2024 memory use: 6253.9 MB
  130. Sun May 12 14:32:53 2024 read 12151647 cycles
  131. Sun May 12 14:32:53 2024 matrix is 12151469 x 12151647 (5775.1 MB) with weight 1743131227 (143.45/col)
  132. Sun May 12 14:32:53 2024 sparse part has weight 1368099153 (112.59/col)
  133. Sun May 12 14:34:13 2024 filtering completed in 2 passes
  134. Sun May 12 14:34:15 2024 matrix is 12151132 x 12151310 (5775.1 MB) with weight 1743115929 (143.45/col)
  135. Sun May 12 14:34:15 2024 sparse part has weight 1368095355 (112.59/col)
  136. Sun May 12 14:34:32 2024 matrix starts at (0, 0)
  137. Sun May 12 14:34:33 2024 matrix is 12151132 x 12151310 (5775.1 MB) with weight 1743115929 (143.45/col)
  138. Sun May 12 14:34:33 2024 sparse part has weight 1368095355 (112.59/col)
  139. Sun May 12 14:34:33 2024 saving the first 240 matrix rows for later
  140. Sun May 12 14:34:34 2024 matrix includes 256 packed rows
  141. Sun May 12 14:34:36 2024 matrix is 12150892 x 12151310 (5247.0 MB) with weight 1256307446 (103.39/col)
  142. Sun May 12 14:34:36 2024 sparse part has weight 1181047508 (97.20/col)
  143. Sun May 12 14:34:36 2024 using GPU 0 (NVIDIA GeForce RTX 4090)
  144. Sun May 12 14:34:36 2024 selected card has CUDA arch 8.9
  145. Sun May 12 14:35:59 2024 commencing Lanczos iteration
  146. Sun May 12 14:35:59 2024 memory use: 12070.0 MB
  147. Sun May 12 14:36:30 2024 linear algebra at 0.3%, ETA 3h17m
  148. Sun May 12 14:37:14 2024 checking every 60000 dimensions, checkpointing every 3780000 dimensions
  149. Sun May 12 17:50:42 2024 lanczos halted after 47608 iterations (dim = 12150891)
  150. Sun May 12 17:51:10 2024 recovered 27 nontrivial dependencies
  151. Sun May 12 17:51:10 2024 BLanczosTime: 12296
  152. Sun May 12 17:51:10 2024
  153. Sun May 12 17:51:10 2024 commencing square root phase
  154. Sun May 12 17:51:10 2024 reversing signs of algebraic polynomial
  155. Sun May 12 17:51:10 2024 handling dependencies 1 to 64
  156. Sun May 12 17:51:10 2024 reading relations for dependency 1
  157. Sun May 12 17:51:11 2024 read 6076412 cycles
  158. Sun May 12 17:51:18 2024 cycles contain 23522504 unique relations
  159. Sun May 12 17:52:07 2024 read 23522504 relations
  160. Sun May 12 17:53:02 2024 multiplying 23522504 relations
  161. Sun May 12 17:55:00 2024 multiply complete, coefficients have about 1326.54 million bits
  162. Sun May 12 17:55:02 2024 initial square root is modulo 892267
  163. Sun May 12 17:59:02 2024 GCD is N, no factor found
  164. Sun May 12 17:59:02 2024 reading relations for dependency 2
  165. Sun May 12 17:59:03 2024 read 6077880 cycles
  166. Sun May 12 17:59:11 2024 cycles contain 23531796 unique relations
  167. Sun May 12 17:59:25 2024 read 23531796 relations
  168. Sun May 12 18:00:20 2024 multiplying 23531796 relations
  169. Sun May 12 18:02:17 2024 multiply complete, coefficients have about 1327.06 million bits
  170. Sun May 12 18:02:20 2024 initial square root is modulo 897053
  171. Sun May 12 18:06:19 2024 sqrtTime: 909
  172. Sun May 12 18:06:19 2024 p81 factor: 245141381447393074417616450745032022708674729212499072776802348188733827628232331
  173. Sun May 12 18:06:19 2024 p89 factor: 28512576969361020790874616527917585958455718536644387876083216522131280117631229771048499
  174. Sun May 12 18:06:19 2024 elapsed time 04:04:07
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