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Apr 27th, 2023
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  1. Thu Apr 27 11:20:12 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Thu Apr 27 11:20:12 2023 random seeds: fdecfcec 599c443d
  3. Thu Apr 27 11:20:12 2023 Using 16 OpenMP threads
  4. Thu Apr 27 11:20:12 2023 factoring 241972209638392765358868862125074488556720371248467980260899217179952695257815907428397573544387283219556285193595401503468205295554441697223258517239 (150 digits)
  5. Thu Apr 27 11:20:12 2023 no P-1/P+1/ECM available, skipping
  6. Thu Apr 27 11:20:12 2023 commencing number field sieve (150-digit input)
  7. Thu Apr 27 11:20:12 2023 R0: -3227305505478355885641908817
  8. Thu Apr 27 11:20:12 2023 R1: 197005537633351144054031
  9. Thu Apr 27 11:20:12 2023 A0: 2756855549323921531536146715297900
  10. Thu Apr 27 11:20:12 2023 A1: 135581886440605430060241560596
  11. Thu Apr 27 11:20:12 2023 A2: -86808409912647720427815
  12. Thu Apr 27 11:20:12 2023 A3: -14236208409582250651
  13. Thu Apr 27 11:20:12 2023 A4: 5240601699090
  14. Thu Apr 27 11:20:12 2023 A5: 2961000
  15. Thu Apr 27 11:20:12 2023 skew 1.00, size 1.647e-14, alpha -7.389, combined = 1.843e-13 rroots = 5
  16. Thu Apr 27 11:20:12 2023
  17. Thu Apr 27 11:20:12 2023 commencing relation filtering
  18. Thu Apr 27 11:20:12 2023 setting target matrix density to 110.0
  19. Thu Apr 27 11:20:12 2023 estimated available RAM is 64238.6 MB
  20. Thu Apr 27 11:20:12 2023 commencing duplicate removal, pass 1
  21. Thu Apr 27 11:20:43 2023 found 1698735 hash collisions in 43883772 relations
  22. Thu Apr 27 11:20:57 2023 added 122456 free relations
  23. Thu Apr 27 11:20:57 2023 commencing duplicate removal, pass 2
  24. Thu Apr 27 11:21:03 2023 found 0 duplicates and 44006228 unique relations
  25. Thu Apr 27 11:21:03 2023 memory use: 138.6 MB
  26. Thu Apr 27 11:21:03 2023 reading ideals above 720000
  27. Thu Apr 27 11:21:03 2023 commencing singleton removal, initial pass
  28. Thu Apr 27 11:22:09 2023 memory use: 753.0 MB
  29. Thu Apr 27 11:22:09 2023 reading all ideals from disk
  30. Thu Apr 27 11:22:09 2023 memory use: 1878.9 MB
  31. Thu Apr 27 11:22:10 2023 keeping 34998798 ideals with weight <= 200, target excess is 239705
  32. Thu Apr 27 11:22:12 2023 commencing in-memory singleton removal
  33. Thu Apr 27 11:22:12 2023 begin with 44006228 relations and 34998798 unique ideals
  34. Thu Apr 27 11:22:15 2023 reduce to 37894311 relations and 28689964 ideals in 11 passes
  35. Thu Apr 27 11:22:15 2023 max relations containing the same ideal: 189
  36. Thu Apr 27 11:22:21 2023 removing 4136005 relations and 3136005 ideals in 1000000 cliques
  37. Thu Apr 27 11:22:22 2023 commencing in-memory singleton removal
  38. Thu Apr 27 11:22:22 2023 begin with 33758306 relations and 28689964 unique ideals
  39. Thu Apr 27 11:22:24 2023 reduce to 33409205 relations and 25193556 ideals in 8 passes
  40. Thu Apr 27 11:22:24 2023 max relations containing the same ideal: 178
  41. Thu Apr 27 11:22:29 2023 removing 3275377 relations and 2275377 ideals in 1000000 cliques
  42. Thu Apr 27 11:22:30 2023 commencing in-memory singleton removal
  43. Thu Apr 27 11:22:30 2023 begin with 30133828 relations and 25193556 unique ideals
  44. Thu Apr 27 11:22:31 2023 reduce to 29891912 relations and 22669139 ideals in 7 passes
  45. Thu Apr 27 11:22:31 2023 max relations containing the same ideal: 164
  46. Thu Apr 27 11:22:36 2023 removing 3044125 relations and 2044125 ideals in 1000000 cliques
  47. Thu Apr 27 11:22:37 2023 commencing in-memory singleton removal
  48. Thu Apr 27 11:22:37 2023 begin with 26847787 relations and 22669139 unique ideals
  49. Thu Apr 27 11:22:38 2023 reduce to 26629833 relations and 20400541 ideals in 6 passes
  50. Thu Apr 27 11:22:38 2023 max relations containing the same ideal: 155
  51. Thu Apr 27 11:22:42 2023 removing 2929925 relations and 1929925 ideals in 1000000 cliques
  52. Thu Apr 27 11:22:43 2023 commencing in-memory singleton removal
  53. Thu Apr 27 11:22:43 2023 begin with 23699908 relations and 20400541 unique ideals
  54. Thu Apr 27 11:22:44 2023 reduce to 23486377 relations and 18250084 ideals in 6 passes
  55. Thu Apr 27 11:22:44 2023 max relations containing the same ideal: 145
  56. Thu Apr 27 11:22:48 2023 removing 2860813 relations and 1860813 ideals in 1000000 cliques
  57. Thu Apr 27 11:22:48 2023 commencing in-memory singleton removal
  58. Thu Apr 27 11:22:49 2023 begin with 20625564 relations and 18250084 unique ideals
  59. Thu Apr 27 11:22:49 2023 reduce to 20404896 relations and 16160669 ideals in 7 passes
  60. Thu Apr 27 11:22:49 2023 max relations containing the same ideal: 127
  61. Thu Apr 27 11:22:53 2023 removing 2822273 relations and 1822273 ideals in 1000000 cliques
  62. Thu Apr 27 11:22:53 2023 commencing in-memory singleton removal
  63. Thu Apr 27 11:22:54 2023 begin with 17582623 relations and 16160669 unique ideals
  64. Thu Apr 27 11:22:54 2023 reduce to 17347280 relations and 14093131 ideals in 7 passes
  65. Thu Apr 27 11:22:54 2023 max relations containing the same ideal: 118
  66. Thu Apr 27 11:22:57 2023 removing 2798844 relations and 1798844 ideals in 1000000 cliques
  67. Thu Apr 27 11:22:58 2023 commencing in-memory singleton removal
  68. Thu Apr 27 11:22:58 2023 begin with 14548436 relations and 14093131 unique ideals
  69. Thu Apr 27 11:22:58 2023 reduce to 14279561 relations and 12012481 ideals in 7 passes
  70. Thu Apr 27 11:22:58 2023 max relations containing the same ideal: 102
  71. Thu Apr 27 11:23:01 2023 removing 2791726 relations and 1791726 ideals in 1000000 cliques
  72. Thu Apr 27 11:23:01 2023 commencing in-memory singleton removal
  73. Thu Apr 27 11:23:01 2023 begin with 11487835 relations and 12012481 unique ideals
  74. Thu Apr 27 11:23:02 2023 reduce to 11169565 relations and 9883997 ideals in 7 passes
  75. Thu Apr 27 11:23:02 2023 max relations containing the same ideal: 84
  76. Thu Apr 27 11:23:04 2023 removing 2793320 relations and 1793320 ideals in 1000000 cliques
  77. Thu Apr 27 11:23:04 2023 commencing in-memory singleton removal
  78. Thu Apr 27 11:23:04 2023 begin with 8376245 relations and 9883997 unique ideals
  79. Thu Apr 27 11:23:05 2023 reduce to 7967316 relations and 7651097 ideals in 8 passes
  80. Thu Apr 27 11:23:05 2023 max relations containing the same ideal: 67
  81. Thu Apr 27 11:23:06 2023 removing 204015 relations and 165854 ideals in 38161 cliques
  82. Thu Apr 27 11:23:06 2023 commencing in-memory singleton removal
  83. Thu Apr 27 11:23:06 2023 begin with 7763301 relations and 7651097 unique ideals
  84. Thu Apr 27 11:23:07 2023 reduce to 7759258 relations and 7481182 ideals in 5 passes
  85. Thu Apr 27 11:23:07 2023 max relations containing the same ideal: 66
  86. Thu Apr 27 11:23:07 2023 relations with 0 large ideals: 777
  87. Thu Apr 27 11:23:07 2023 relations with 1 large ideals: 3310
  88. Thu Apr 27 11:23:07 2023 relations with 2 large ideals: 47457
  89. Thu Apr 27 11:23:07 2023 relations with 3 large ideals: 298552
  90. Thu Apr 27 11:23:07 2023 relations with 4 large ideals: 973701
  91. Thu Apr 27 11:23:07 2023 relations with 5 large ideals: 1838492
  92. Thu Apr 27 11:23:07 2023 relations with 6 large ideals: 2143273
  93. Thu Apr 27 11:23:07 2023 relations with 7+ large ideals: 2453696
  94. Thu Apr 27 11:23:07 2023 commencing 2-way merge
  95. Thu Apr 27 11:23:09 2023 reduce to 5125919 relation sets and 4847843 unique ideals
  96. Thu Apr 27 11:23:09 2023 commencing full merge
  97. Thu Apr 27 11:24:08 2023 memory use: 633.1 MB
  98. Thu Apr 27 11:24:08 2023 found 2376372 cycles, need 2348043
  99. Thu Apr 27 11:24:08 2023 weight of 2348043 cycles is about 258579344 (110.13/cycle)
  100. Thu Apr 27 11:24:09 2023 distribution of cycle lengths:
  101. Thu Apr 27 11:24:09 2023 1 relations: 77112
  102. Thu Apr 27 11:24:09 2023 2 relations: 140225
  103. Thu Apr 27 11:24:09 2023 3 relations: 176399
  104. Thu Apr 27 11:24:09 2023 4 relations: 189758
  105. Thu Apr 27 11:24:09 2023 5 relations: 199686
  106. Thu Apr 27 11:24:09 2023 6 relations: 199056
  107. Thu Apr 27 11:24:09 2023 7 relations: 193330
  108. Thu Apr 27 11:24:09 2023 8 relations: 180337
  109. Thu Apr 27 11:24:09 2023 9 relations: 164221
  110. Thu Apr 27 11:24:09 2023 10+ relations: 827919
  111. Thu Apr 27 11:24:09 2023 heaviest cycle: 26 relations
  112. Thu Apr 27 11:24:09 2023 commencing cycle optimization
  113. Thu Apr 27 11:24:11 2023 start with 19456915 relations
  114. Thu Apr 27 11:24:34 2023 pruned 942746 relations
  115. Thu Apr 27 11:24:34 2023 memory use: 522.2 MB
  116. Thu Apr 27 11:24:34 2023 distribution of cycle lengths:
  117. Thu Apr 27 11:24:34 2023 1 relations: 77112
  118. Thu Apr 27 11:24:34 2023 2 relations: 144388
  119. Thu Apr 27 11:24:34 2023 3 relations: 185017
  120. Thu Apr 27 11:24:34 2023 4 relations: 199267
  121. Thu Apr 27 11:24:34 2023 5 relations: 211710
  122. Thu Apr 27 11:24:34 2023 6 relations: 210226
  123. Thu Apr 27 11:24:34 2023 7 relations: 204334
  124. Thu Apr 27 11:24:34 2023 8 relations: 189332
  125. Thu Apr 27 11:24:34 2023 9 relations: 170813
  126. Thu Apr 27 11:24:34 2023 10+ relations: 755844
  127. Thu Apr 27 11:24:34 2023 heaviest cycle: 25 relations
  128. Thu Apr 27 11:24:36 2023 RelProcTime: 264
  129. Thu Apr 27 11:24:36 2023
  130. Thu Apr 27 11:24:36 2023 commencing linear algebra
  131. Thu Apr 27 11:24:36 2023 using VBITS=256
  132. Thu Apr 27 11:24:37 2023 read 2348043 cycles
  133. Thu Apr 27 11:24:39 2023 cycles contain 7622951 unique relations
  134. Thu Apr 27 11:24:43 2023 read 7622951 relations
  135. Thu Apr 27 11:24:44 2023 using 20 quadratic characters above 4294917295
  136. Thu Apr 27 11:24:45 2023 building initial matrix
  137. Thu Apr 27 11:25:32 2023 memory use: 1025.4 MB
  138. Thu Apr 27 11:25:32 2023 read 2348043 cycles
  139. Thu Apr 27 11:25:32 2023 matrix is 2347865 x 2348043 (1020.7 MB) with weight 314934800 (134.13/col)
  140. Thu Apr 27 11:25:32 2023 sparse part has weight 239401368 (101.96/col)
  141. Thu Apr 27 11:25:43 2023 filtering completed in 2 passes
  142. Thu Apr 27 11:25:43 2023 matrix is 2347772 x 2347950 (1020.7 MB) with weight 314930229 (134.13/col)
  143. Thu Apr 27 11:25:43 2023 sparse part has weight 239399916 (101.96/col)
  144. Thu Apr 27 11:25:46 2023 matrix starts at (0, 0)
  145. Thu Apr 27 11:25:46 2023 matrix is 2347772 x 2347950 (1020.7 MB) with weight 314930229 (134.13/col)
  146. Thu Apr 27 11:25:46 2023 sparse part has weight 239399916 (101.96/col)
  147. Thu Apr 27 11:25:46 2023 saving the first 240 matrix rows for later
  148. Thu Apr 27 11:25:47 2023 matrix includes 256 packed rows
  149. Thu Apr 27 11:25:48 2023 matrix is 2347532 x 2347950 (918.4 MB) with weight 217387927 (92.59/col)
  150. Thu Apr 27 11:25:48 2023 sparse part has weight 203175619 (86.53/col)
  151. Thu Apr 27 11:25:48 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  152. Thu Apr 27 11:25:48 2023 selected card has CUDA arch 8.6
  153. Thu Apr 27 11:25:58 2023 commencing Lanczos iteration
  154. Thu Apr 27 11:25:58 2023 memory use: 2141.3 MB
  155. Thu Apr 27 11:26:04 2023 linear algebra at 1.3%, ETA 0h 7m
  156. Thu Apr 27 11:26:13 2023 checking every 300000 dimensions, checkpointing every 18600000 dimensions
  157. Thu Apr 27 11:33:21 2023 lanczos halted after 9199 iterations (dim = 2347530)
  158. Thu Apr 27 11:33:30 2023 recovered 27 nontrivial dependencies
  159. Thu Apr 27 11:33:30 2023 BLanczosTime: 534
  160. Thu Apr 27 11:33:30 2023
  161. Thu Apr 27 11:33:30 2023 commencing square root phase
  162. Thu Apr 27 11:33:30 2023 handling dependencies 1 to 64
  163. Thu Apr 27 11:33:30 2023 reading relations for dependency 1
  164. Thu Apr 27 11:33:31 2023 read 1173887 cycles
  165. Thu Apr 27 11:33:32 2023 cycles contain 3811090 unique relations
  166. Thu Apr 27 11:33:39 2023 read 3811090 relations
  167. Thu Apr 27 11:33:50 2023 multiplying 3811090 relations
  168. Thu Apr 27 11:35:29 2023 multiply complete, coefficients have about 219.45 million bits
  169. Thu Apr 27 11:35:30 2023 initial square root is modulo 75063899
  170. Thu Apr 27 11:36:49 2023 GCD is 1, no factor found
  171. Thu Apr 27 11:36:49 2023 reading relations for dependency 2
  172. Thu Apr 27 11:36:49 2023 read 1175117 cycles
  173. Thu Apr 27 11:36:50 2023 cycles contain 3816672 unique relations
  174. Thu Apr 27 11:36:58 2023 read 3816672 relations
  175. Thu Apr 27 11:37:09 2023 multiplying 3816672 relations
  176. Thu Apr 27 11:38:50 2023 multiply complete, coefficients have about 219.77 million bits
  177. Thu Apr 27 11:38:50 2023 initial square root is modulo 77058001
  178. Thu Apr 27 11:40:08 2023 sqrtTime: 398
  179. Thu Apr 27 11:40:08 2023 p50 factor: 13444296249398898108893912316622575505302732277157
  180. Thu Apr 27 11:40:08 2023 p101 factor: 17998131337608056363848781172234882881635538051935694830224290012287063019274514752277593304566962027
  181. Thu Apr 27 11:40:08 2023 elapsed time 00:19:56
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