kyleaskine

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Feb 7th, 2026
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  1. Sat Feb 7 13:29:23 2026
  2. Sat Feb 7 13:29:23 2026
  3. Sat Feb 7 13:29:23 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Feb 7 13:29:23 2026 random seeds: 1de28c2f e7e9c1e0
  5. Sat Feb 7 13:29:23 2026 Using 8 OpenMP threads
  6. Sat Feb 7 13:29:23 2026 factoring 176900499830964144270286294624870006787781192185933659634403691942636499260537980721879280743527253184540600667842117865386235324779852595059678499506965720234082621538222497754983 (180 digits)
  7. Sat Feb 7 13:29:24 2026 searching for 15-digit factors
  8. Sat Feb 7 13:29:24 2026 commencing number field sieve (180-digit input)
  9. Sat Feb 7 13:29:24 2026 R0: 128883796089299606259652552974159221431
  10. Sat Feb 7 13:29:24 2026 R1: -1
  11. Sat Feb 7 13:29:24 2026 A0: 1
  12. Sat Feb 7 13:29:24 2026 A1: 1
  13. Sat Feb 7 13:29:24 2026 A2: 1
  14. Sat Feb 7 13:29:24 2026 A3: 1
  15. Sat Feb 7 13:29:24 2026 A4: 1
  16. Sat Feb 7 13:29:24 2026 A5: 1
  17. Sat Feb 7 13:29:24 2026 A6: 1
  18. Sat Feb 7 13:29:24 2026 skew 1.35, size 2.513e-11, alpha 2.428, combined = 1.253e-12 rroots = 0
  19. Sat Feb 7 13:29:24 2026
  20. Sat Feb 7 13:29:24 2026 commencing relation filtering
  21. Sat Feb 7 13:29:24 2026 setting target matrix density to 110.0
  22. Sat Feb 7 13:29:24 2026 estimated available RAM is 78540.1 MB
  23. Sat Feb 7 13:29:24 2026 commencing duplicate removal, pass 1
  24. Sat Feb 7 13:35:25 2026 skipped 2 relations with b > 2^32
  25. Sat Feb 7 13:35:25 2026 skipped 41 malformed relations
  26. Sat Feb 7 13:35:25 2026 found 24864813 hash collisions in 163230951 relations
  27. Sat Feb 7 13:35:29 2026 added 2438534 free relations
  28. Sat Feb 7 13:35:29 2026 commencing duplicate removal, pass 2
  29. Sat Feb 7 13:36:59 2026 found 23067259 duplicates and 142602226 unique relations
  30. Sat Feb 7 13:36:59 2026 memory use: 852.8 MB
  31. Sat Feb 7 13:36:59 2026 reading ideals above 720000
  32. Sat Feb 7 13:36:59 2026 commencing singleton removal, initial pass
  33. Sat Feb 7 13:49:56 2026 memory use: 3012.0 MB
  34. Sat Feb 7 13:49:57 2026 reading all ideals from disk
  35. Sat Feb 7 13:50:01 2026 memory use: 6427.2 MB
  36. Sat Feb 7 13:50:19 2026 keeping 145330514 ideals with weight <= 200, target excess is 723784
  37. Sat Feb 7 13:50:37 2026 commencing in-memory singleton removal
  38. Sat Feb 7 13:50:40 2026 begin with 142602226 relations and 145330514 unique ideals
  39. Sat Feb 7 13:51:10 2026 reduce to 65243212 relations and 56060280 ideals in 18 passes
  40. Sat Feb 7 13:51:10 2026 max relations containing the same ideal: 125
  41. Sat Feb 7 13:51:49 2026 removing 6875423 relations and 5875423 ideals in 1000000 cliques
  42. Sat Feb 7 13:51:52 2026 commencing in-memory singleton removal
  43. Sat Feb 7 13:51:53 2026 begin with 58367789 relations and 56060280 unique ideals
  44. Sat Feb 7 13:52:03 2026 reduce to 57727738 relations and 49531218 ideals in 9 passes
  45. Sat Feb 7 13:52:03 2026 max relations containing the same ideal: 115
  46. Sat Feb 7 13:52:36 2026 removing 5252551 relations and 4252551 ideals in 1000000 cliques
  47. Sat Feb 7 13:52:38 2026 commencing in-memory singleton removal
  48. Sat Feb 7 13:52:39 2026 begin with 52475187 relations and 49531218 unique ideals
  49. Sat Feb 7 13:52:49 2026 reduce to 52064478 relations and 44860646 ideals in 10 passes
  50. Sat Feb 7 13:52:49 2026 max relations containing the same ideal: 107
  51. Sat Feb 7 13:53:18 2026 removing 4763205 relations and 3763205 ideals in 1000000 cliques
  52. Sat Feb 7 13:53:20 2026 commencing in-memory singleton removal
  53. Sat Feb 7 13:53:21 2026 begin with 47301273 relations and 44860646 unique ideals
  54. Sat Feb 7 13:53:29 2026 reduce to 46942537 relations and 40732019 ideals in 8 passes
  55. Sat Feb 7 13:53:29 2026 max relations containing the same ideal: 100
  56. Sat Feb 7 13:53:57 2026 removing 4495862 relations and 3495862 ideals in 1000000 cliques
  57. Sat Feb 7 13:53:59 2026 commencing in-memory singleton removal
  58. Sat Feb 7 13:53:59 2026 begin with 42446675 relations and 40732019 unique ideals
  59. Sat Feb 7 13:54:06 2026 reduce to 42101664 relations and 36884286 ideals in 9 passes
  60. Sat Feb 7 13:54:06 2026 max relations containing the same ideal: 93
  61. Sat Feb 7 13:54:29 2026 removing 4325495 relations and 3325495 ideals in 1000000 cliques
  62. Sat Feb 7 13:54:30 2026 commencing in-memory singleton removal
  63. Sat Feb 7 13:54:31 2026 begin with 37776169 relations and 36884286 unique ideals
  64. Sat Feb 7 13:54:36 2026 reduce to 37421388 relations and 33196294 ideals in 8 passes
  65. Sat Feb 7 13:54:36 2026 max relations containing the same ideal: 84
  66. Sat Feb 7 13:54:58 2026 removing 4216147 relations and 3216147 ideals in 1000000 cliques
  67. Sat Feb 7 13:55:00 2026 commencing in-memory singleton removal
  68. Sat Feb 7 13:55:00 2026 begin with 33205241 relations and 33196294 unique ideals
  69. Sat Feb 7 13:55:05 2026 reduce to 32828042 relations and 29593972 ideals in 9 passes
  70. Sat Feb 7 13:55:05 2026 max relations containing the same ideal: 76
  71. Sat Feb 7 13:55:23 2026 removing 4159744 relations and 3159744 ideals in 1000000 cliques
  72. Sat Feb 7 13:55:25 2026 commencing in-memory singleton removal
  73. Sat Feb 7 13:55:25 2026 begin with 28668298 relations and 29593972 unique ideals
  74. Sat Feb 7 13:55:29 2026 reduce to 28250519 relations and 26005173 ideals in 8 passes
  75. Sat Feb 7 13:55:29 2026 max relations containing the same ideal: 71
  76. Sat Feb 7 13:55:44 2026 removing 4133828 relations and 3133828 ideals in 1000000 cliques
  77. Sat Feb 7 13:55:45 2026 commencing in-memory singleton removal
  78. Sat Feb 7 13:55:46 2026 begin with 24116691 relations and 26005173 unique ideals
  79. Sat Feb 7 13:55:49 2026 reduce to 23630179 relations and 22369531 ideals in 9 passes
  80. Sat Feb 7 13:55:49 2026 max relations containing the same ideal: 63
  81. Sat Feb 7 13:56:03 2026 removing 2116067 relations and 1695009 ideals in 421058 cliques
  82. Sat Feb 7 13:56:04 2026 commencing in-memory singleton removal
  83. Sat Feb 7 13:56:04 2026 begin with 21514112 relations and 22369531 unique ideals
  84. Sat Feb 7 13:56:07 2026 reduce to 21367496 relations and 20525644 ideals in 8 passes
  85. Sat Feb 7 13:56:07 2026 max relations containing the same ideal: 59
  86. Sat Feb 7 13:56:21 2026 relations with 0 large ideals: 50530
  87. Sat Feb 7 13:56:21 2026 relations with 1 large ideals: 19291
  88. Sat Feb 7 13:56:21 2026 relations with 2 large ideals: 227190
  89. Sat Feb 7 13:56:21 2026 relations with 3 large ideals: 1214672
  90. Sat Feb 7 13:56:21 2026 relations with 4 large ideals: 3422594
  91. Sat Feb 7 13:56:21 2026 relations with 5 large ideals: 5573159
  92. Sat Feb 7 13:56:21 2026 relations with 6 large ideals: 5479636
  93. Sat Feb 7 13:56:21 2026 relations with 7+ large ideals: 5380424
  94. Sat Feb 7 13:56:21 2026 commencing 2-way merge
  95. Sat Feb 7 13:56:38 2026 reduce to 12842357 relation sets and 12000505 unique ideals
  96. Sat Feb 7 13:56:38 2026 commencing full merge
  97. Sat Feb 7 14:04:32 2026 memory use: 1673.8 MB
  98. Sat Feb 7 14:04:35 2026 found 5784661 cycles, need 5756705
  99. Sat Feb 7 14:04:37 2026 weight of 5756705 cycles is about 633802433 (110.10/cycle)
  100. Sat Feb 7 14:04:37 2026 distribution of cycle lengths:
  101. Sat Feb 7 14:04:37 2026 1 relations: 428768
  102. Sat Feb 7 14:04:37 2026 2 relations: 428875
  103. Sat Feb 7 14:04:37 2026 3 relations: 413464
  104. Sat Feb 7 14:04:37 2026 4 relations: 394023
  105. Sat Feb 7 14:04:37 2026 5 relations: 380743
  106. Sat Feb 7 14:04:37 2026 6 relations: 365893
  107. Sat Feb 7 14:04:37 2026 7 relations: 350853
  108. Sat Feb 7 14:04:37 2026 8 relations: 334458
  109. Sat Feb 7 14:04:37 2026 9 relations: 317141
  110. Sat Feb 7 14:04:37 2026 10+ relations: 2342487
  111. Sat Feb 7 14:04:37 2026 heaviest cycle: 28 relations
  112. Sat Feb 7 14:04:40 2026 commencing cycle optimization
  113. Sat Feb 7 14:04:56 2026 start with 51408785 relations
  114. Sat Feb 7 14:07:35 2026 pruned 1961582 relations
  115. Sat Feb 7 14:07:35 2026 memory use: 1392.8 MB
  116. Sat Feb 7 14:07:35 2026 distribution of cycle lengths:
  117. Sat Feb 7 14:07:35 2026 1 relations: 428768
  118. Sat Feb 7 14:07:35 2026 2 relations: 436491
  119. Sat Feb 7 14:07:35 2026 3 relations: 427130
  120. Sat Feb 7 14:07:35 2026 4 relations: 406598
  121. Sat Feb 7 14:07:35 2026 5 relations: 395850
  122. Sat Feb 7 14:07:35 2026 6 relations: 378580
  123. Sat Feb 7 14:07:35 2026 7 relations: 364691
  124. Sat Feb 7 14:07:35 2026 8 relations: 347017
  125. Sat Feb 7 14:07:35 2026 9 relations: 329932
  126. Sat Feb 7 14:07:35 2026 10+ relations: 2241648
  127. Sat Feb 7 14:07:35 2026 heaviest cycle: 28 relations
  128. Sat Feb 7 14:07:50 2026 RelProcTime: 2306
  129. Sat Feb 7 14:07:50 2026
  130. Sat Feb 7 14:07:50 2026 commencing linear algebra
  131. Sat Feb 7 14:07:50 2026 using VBITS=256
  132. Sat Feb 7 14:07:50 2026 read 5756705 cycles
  133. Sat Feb 7 14:08:04 2026 cycles contain 20775886 unique relations
  134. Sat Feb 7 14:09:13 2026 read 20775886 relations
  135. Sat Feb 7 14:09:21 2026 using 20 quadratic characters above 4294917295
  136. Sat Feb 7 14:09:34 2026 building initial matrix
  137. Sat Feb 7 14:14:26 2026 memory use: 2532.2 MB
  138. Sat Feb 7 14:14:28 2026 read 5756705 cycles
  139. Sat Feb 7 14:14:29 2026 matrix is 5756528 x 5756705 (2517.4 MB) with weight 716678688 (124.49/col)
  140. Sat Feb 7 14:14:29 2026 sparse part has weight 596590306 (103.63/col)
  141. Sat Feb 7 14:15:32 2026 filtering completed in 2 passes
  142. Sat Feb 7 14:15:34 2026 matrix is 5756100 x 5756264 (2517.3 MB) with weight 716662972 (124.50/col)
  143. Sat Feb 7 14:15:34 2026 sparse part has weight 596584133 (103.64/col)
  144. Sat Feb 7 14:15:51 2026 matrix starts at (0, 0)
  145. Sat Feb 7 14:15:51 2026 matrix is 5756100 x 5756264 (2517.3 MB) with weight 716662972 (124.50/col)
  146. Sat Feb 7 14:15:51 2026 sparse part has weight 596584133 (103.64/col)
  147. Sat Feb 7 14:15:51 2026 saving the first 240 matrix rows for later
  148. Sat Feb 7 14:15:53 2026 matrix includes 256 packed rows
  149. Sat Feb 7 14:15:54 2026 matrix is 5755860 x 5756264 (2310.7 MB) with weight 542580465 (94.26/col)
  150. Sat Feb 7 14:15:54 2026 sparse part has weight 513645165 (89.23/col)
  151. Sat Feb 7 14:15:55 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  152. Sat Feb 7 14:15:55 2026 selected card has CUDA arch 12.0
  153. Sat Feb 7 14:16:32 2026 commencing Lanczos iteration
  154. Sat Feb 7 14:16:35 2026 memory use: 5368.1 MB
  155. Sat Feb 7 14:16:52 2026 linear algebra at 0.5%, ETA 0h49m
  156. Sat Feb 7 14:17:16 2026 checking every 110000 dimensions, checkpointing every 6930000 dimensions
  157. Sat Feb 7 15:06:26 2026 lanczos halted after 22552 iterations (dim = 5755858)
  158. Sat Feb 7 15:06:46 2026 recovered 39 nontrivial dependencies
  159. Sat Feb 7 15:06:46 2026 BLanczosTime: 3536
  160. Sat Feb 7 15:06:46 2026
  161. Sat Feb 7 15:06:46 2026 commencing square root phase
  162. Sat Feb 7 15:06:46 2026 handling dependencies 1 to 64
  163. Sat Feb 7 15:06:46 2026 reading relations for dependency 1
  164. Sat Feb 7 15:06:47 2026 read 2878151 cycles
  165. Sat Feb 7 15:06:54 2026 cycles contain 10384374 unique relations
  166. Sat Feb 7 15:07:17 2026 read 10384374 relations
  167. Sat Feb 7 15:08:03 2026 multiplying 10384374 relations
  168. Sat Feb 7 15:08:48 2026 multiply complete, coefficients have about 252.42 million bits
  169. Sat Feb 7 15:08:49 2026 initial square root is modulo 1144643939
  170. Sat Feb 7 15:10:33 2026 sqrtTime: 227
  171. Sat Feb 7 15:10:33 2026 p89 factor: 25196846589533042382095024714466568168646984767141152576506447125638829018572666096755647
  172. Sat Feb 7 15:10:33 2026 p91 factor: 7020739647017969645533680361763186865130631272559537604023454464474599801159893256412659289
  173. Sat Feb 7 15:10:33 2026 elapsed time 01:41:10
  174.  
Tags: math
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