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kyleaskine
Mar 16th, 2026
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  1. Mon Mar 16 09:02:53 2026
  2. Mon Mar 16 09:02:53 2026
  3. Mon Mar 16 09:02:53 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon Mar 16 09:02:53 2026 random seeds: b1ee2411 a6ea8f28
  5. Mon Mar 16 09:02:53 2026 factoring 1441529313995074716146517187005172409572648539891580332014708287555526411221664608487488328409350844374644269641253495670738861161106697189306972259390207759327124847743639445934135371125883905872641967932641 (208 digits)
  6. Mon Mar 16 09:02:53 2026 no P-1/P+1/ECM available, skipping
  7. Mon Mar 16 09:02:53 2026 commencing number field sieve (208-digit input)
  8. Mon Mar 16 09:02:53 2026 R0: 1437059332901640430323711792983733535610
  9. Mon Mar 16 09:02:53 2026 R1: -37908565429222462603
  10. Mon Mar 16 09:02:53 2026 A0: -1
  11. Mon Mar 16 09:02:53 2026 A1: 3
  12. Mon Mar 16 09:02:53 2026 A2: 6
  13. Mon Mar 16 09:02:53 2026 A3: -4
  14. Mon Mar 16 09:02:53 2026 A4: -5
  15. Mon Mar 16 09:02:53 2026 A5: 1
  16. Mon Mar 16 09:02:53 2026 A6: 1
  17. Mon Mar 16 09:02:53 2026 skew 1.37, size 1.462e-11, alpha 3.126, combined = 8.286e-13 rroots = 6
  18. Mon Mar 16 09:02:53 2026
  19. Mon Mar 16 09:02:53 2026 commencing relation filtering
  20. Mon Mar 16 09:02:53 2026 setting target matrix density to 100.0
  21. Mon Mar 16 09:02:53 2026 estimated available RAM is 95911.2 MB
  22. Mon Mar 16 09:02:53 2026 commencing duplicate removal, pass 1
  23. Mon Mar 16 09:03:06 2026 error -9 reading relation 2871444
  24. Mon Mar 16 09:03:07 2026 error -9 reading relation 2980975
  25. Mon Mar 16 09:04:09 2026 error -15 reading relation 17148908
  26. Mon Mar 16 09:04:21 2026 error -5 reading relation 20012508
  27. Mon Mar 16 09:04:46 2026 error -15 reading relation 25408878
  28. Mon Mar 16 09:05:22 2026 error -9 reading relation 33620021
  29. Mon Mar 16 09:05:25 2026 error -9 reading relation 34186637
  30. Mon Mar 16 09:06:18 2026 error -9 reading relation 46132422
  31. Mon Mar 16 09:06:44 2026 error -15 reading relation 52208381
  32. Mon Mar 16 09:06:52 2026 error -15 reading relation 53986569
  33. Mon Mar 16 09:06:53 2026 error -15 reading relation 54177574
  34. Mon Mar 16 09:07:03 2026 error -15 reading relation 56362577
  35. Mon Mar 16 09:07:03 2026 error -1 reading relation 56424076
  36. Mon Mar 16 09:07:07 2026 error -1 reading relation 57405160
  37. Mon Mar 16 09:07:10 2026 error -9 reading relation 58031451
  38. Mon Mar 16 09:07:33 2026 error -1 reading relation 63487825
  39. Mon Mar 16 09:07:35 2026 error -15 reading relation 63744739
  40. Mon Mar 16 09:07:35 2026 error -9 reading relation 63804234
  41. Mon Mar 16 09:07:40 2026 error -1 reading relation 65008864
  42. Mon Mar 16 09:08:15 2026 error -1 reading relation 73351847
  43. Mon Mar 16 09:08:20 2026 error -9 reading relation 74527772
  44. Mon Mar 16 09:08:22 2026 error -15 reading relation 74963111
  45. Mon Mar 16 09:08:24 2026 error -15 reading relation 75506144
  46. Mon Mar 16 09:08:24 2026 error -1 reading relation 75506145
  47. Mon Mar 16 09:08:31 2026 error -9 reading relation 77210175
  48. Mon Mar 16 09:08:32 2026 error -9 reading relation 77506992
  49. Mon Mar 16 09:08:37 2026 error -1 reading relation 79324569
  50. Mon Mar 16 09:08:38 2026 error -9 reading relation 79335325
  51. Mon Mar 16 09:08:40 2026 error -15 reading relation 80138746
  52. Mon Mar 16 09:08:40 2026 error -1 reading relation 80161200
  53. Mon Mar 16 09:08:46 2026 error -5 reading relation 82020332
  54. Mon Mar 16 09:09:39 2026 error -15 reading relation 95485126
  55. Mon Mar 16 09:09:42 2026 error -9 reading relation 96295844
  56. Mon Mar 16 09:09:43 2026 error -9 reading relation 96605762
  57. Mon Mar 16 09:09:47 2026 error -15 reading relation 97558955
  58. Mon Mar 16 09:09:47 2026 error -9 reading relation 97619898
  59. Mon Mar 16 09:09:59 2026 error -9 reading relation 100632839
  60. Mon Mar 16 09:10:06 2026 error -9 reading relation 102309879
  61. Mon Mar 16 09:10:22 2026 error -9 reading relation 106561447
  62. Mon Mar 16 09:10:25 2026 error -9 reading relation 107342530
  63. Mon Mar 16 09:10:29 2026 error -5 reading relation 108409468
  64. Mon Mar 16 09:10:35 2026 error -9 reading relation 109802435
  65. Mon Mar 16 09:10:38 2026 error -15 reading relation 110566898
  66. Mon Mar 16 09:10:47 2026 error -9 reading relation 112877586
  67. Mon Mar 16 09:10:52 2026 error -9 reading relation 114166435
  68. Mon Mar 16 09:10:53 2026 error -15 reading relation 114247625
  69. Mon Mar 16 09:11:05 2026 error -9 reading relation 117116086
  70. Mon Mar 16 09:11:37 2026 error -15 reading relation 124992413
  71. Mon Mar 16 09:11:47 2026 error -9 reading relation 127547622
  72. Mon Mar 16 09:12:04 2026 skipped 6 relations with b > 2^32
  73. Mon Mar 16 09:12:04 2026 skipped 18 relations with composite factors
  74. Mon Mar 16 09:12:04 2026 found 26116467 hash collisions in 130042233 relations
  75. Mon Mar 16 09:12:05 2026 commencing duplicate removal, pass 2
  76. Mon Mar 16 09:14:42 2026 found 25426723 duplicates and 104615510 unique relations
  77. Mon Mar 16 09:14:42 2026 memory use: 660.8 MB
  78. Mon Mar 16 09:14:42 2026 reading ideals above 720000
  79. Mon Mar 16 09:14:42 2026 commencing singleton removal, initial pass
  80. Mon Mar 16 09:26:28 2026 memory use: 3012.0 MB
  81. Mon Mar 16 09:26:29 2026 reading all ideals from disk
  82. Mon Mar 16 09:26:31 2026 memory use: 3944.1 MB
  83. Mon Mar 16 09:26:43 2026 keeping 111182805 ideals with weight <= 200, target excess is 544650
  84. Mon Mar 16 09:27:00 2026 commencing in-memory singleton removal
  85. Mon Mar 16 09:27:09 2026 begin with 104615510 relations and 111182805 unique ideals
  86. Mon Mar 16 09:30:37 2026 reduce to 44695780 relations and 42024195 ideals in 20 passes
  87. Mon Mar 16 09:30:37 2026 max relations containing the same ideal: 115
  88. Mon Mar 16 09:31:05 2026 removing 3991245 relations and 3591245 ideals in 400000 cliques
  89. Mon Mar 16 09:31:08 2026 commencing in-memory singleton removal
  90. Mon Mar 16 09:31:11 2026 begin with 40704535 relations and 42024195 unique ideals
  91. Mon Mar 16 09:32:55 2026 reduce to 40360729 relations and 38084443 ideals in 12 passes
  92. Mon Mar 16 09:32:55 2026 max relations containing the same ideal: 109
  93. Mon Mar 16 09:33:21 2026 removing 2957855 relations and 2557855 ideals in 400000 cliques
  94. Mon Mar 16 09:33:23 2026 commencing in-memory singleton removal
  95. Mon Mar 16 09:33:26 2026 begin with 37402874 relations and 38084443 unique ideals
  96. Mon Mar 16 09:34:45 2026 reduce to 37195964 relations and 35317322 ideals in 10 passes
  97. Mon Mar 16 09:34:45 2026 max relations containing the same ideal: 105
  98. Mon Mar 16 09:35:08 2026 removing 2636735 relations and 2236735 ideals in 400000 cliques
  99. Mon Mar 16 09:35:11 2026 commencing in-memory singleton removal
  100. Mon Mar 16 09:35:13 2026 begin with 34559229 relations and 35317322 unique ideals
  101. Mon Mar 16 09:36:25 2026 reduce to 34384817 relations and 32904314 ideals in 10 passes
  102. Mon Mar 16 09:36:25 2026 max relations containing the same ideal: 97
  103. Mon Mar 16 09:36:47 2026 removing 2465853 relations and 2065853 ideals in 400000 cliques
  104. Mon Mar 16 09:36:49 2026 commencing in-memory singleton removal
  105. Mon Mar 16 09:36:52 2026 begin with 31918964 relations and 32904314 unique ideals
  106. Mon Mar 16 09:37:52 2026 reduce to 31757064 relations and 30674642 ideals in 9 passes
  107. Mon Mar 16 09:37:52 2026 max relations containing the same ideal: 89
  108. Mon Mar 16 09:38:13 2026 removing 2354626 relations and 1954626 ideals in 400000 cliques
  109. Mon Mar 16 09:38:14 2026 commencing in-memory singleton removal
  110. Mon Mar 16 09:38:17 2026 begin with 29402438 relations and 30674642 unique ideals
  111. Mon Mar 16 09:38:58 2026 reduce to 29247526 relations and 28563237 ideals in 8 passes
  112. Mon Mar 16 09:38:58 2026 max relations containing the same ideal: 86
  113. Mon Mar 16 09:39:17 2026 removing 433154 relations and 380660 ideals in 52494 cliques
  114. Mon Mar 16 09:39:18 2026 commencing in-memory singleton removal
  115. Mon Mar 16 09:39:21 2026 begin with 28814372 relations and 28563237 unique ideals
  116. Mon Mar 16 09:39:58 2026 reduce to 28809351 relations and 28177548 ideals in 6 passes
  117. Mon Mar 16 09:39:58 2026 max relations containing the same ideal: 85
  118. Mon Mar 16 09:40:03 2026 relations with 0 large ideals: 41786
  119. Mon Mar 16 09:40:03 2026 relations with 1 large ideals: 8975
  120. Mon Mar 16 09:40:03 2026 relations with 2 large ideals: 114312
  121. Mon Mar 16 09:40:03 2026 relations with 3 large ideals: 762946
  122. Mon Mar 16 09:40:03 2026 relations with 4 large ideals: 2766093
  123. Mon Mar 16 09:40:03 2026 relations with 5 large ideals: 5937183
  124. Mon Mar 16 09:40:03 2026 relations with 6 large ideals: 7782334
  125. Mon Mar 16 09:40:03 2026 relations with 7+ large ideals: 11395722
  126. Mon Mar 16 09:40:03 2026 commencing 2-way merge
  127. Mon Mar 16 09:40:34 2026 reduce to 17341009 relation sets and 16709206 unique ideals
  128. Mon Mar 16 09:40:34 2026 commencing full merge
  129. Mon Mar 16 09:49:59 2026 memory use: 2246.6 MB
  130. Mon Mar 16 09:50:02 2026 found 8079385 cycles, need 8057406
  131. Mon Mar 16 09:50:03 2026 weight of 8057406 cycles is about 805960346 (100.03/cycle)
  132. Mon Mar 16 09:50:03 2026 distribution of cycle lengths:
  133. Mon Mar 16 09:50:03 2026 1 relations: 781944
  134. Mon Mar 16 09:50:03 2026 2 relations: 751194
  135. Mon Mar 16 09:50:03 2026 3 relations: 714587
  136. Mon Mar 16 09:50:03 2026 4 relations: 660434
  137. Mon Mar 16 09:50:03 2026 5 relations: 607495
  138. Mon Mar 16 09:50:03 2026 6 relations: 548779
  139. Mon Mar 16 09:50:03 2026 7 relations: 498420
  140. Mon Mar 16 09:50:03 2026 8 relations: 449057
  141. Mon Mar 16 09:50:03 2026 9 relations: 400234
  142. Mon Mar 16 09:50:03 2026 10+ relations: 2645262
  143. Mon Mar 16 09:50:03 2026 heaviest cycle: 28 relations
  144. Mon Mar 16 09:50:08 2026 commencing cycle optimization
  145. Mon Mar 16 09:50:29 2026 start with 63474083 relations
  146. Mon Mar 16 09:53:41 2026 pruned 2025705 relations
  147. Mon Mar 16 09:53:41 2026 memory use: 1826.4 MB
  148. Mon Mar 16 09:53:41 2026 distribution of cycle lengths:
  149. Mon Mar 16 09:53:41 2026 1 relations: 781944
  150. Mon Mar 16 09:53:41 2026 2 relations: 764866
  151. Mon Mar 16 09:53:41 2026 3 relations: 737583
  152. Mon Mar 16 09:53:41 2026 4 relations: 679191
  153. Mon Mar 16 09:53:41 2026 5 relations: 627061
  154. Mon Mar 16 09:53:41 2026 6 relations: 563013
  155. Mon Mar 16 09:53:41 2026 7 relations: 511683
  156. Mon Mar 16 09:53:41 2026 8 relations: 457302
  157. Mon Mar 16 09:53:41 2026 9 relations: 407822
  158. Mon Mar 16 09:53:41 2026 10+ relations: 2526941
  159. Mon Mar 16 09:53:41 2026 heaviest cycle: 28 relations
  160. Mon Mar 16 09:54:01 2026 RelProcTime: 3068
  161. Mon Mar 16 09:54:01 2026
  162. Mon Mar 16 09:54:01 2026 commencing linear algebra
  163. Mon Mar 16 09:54:03 2026 read 8057406 cycles
  164. Mon Mar 16 09:54:20 2026 cycles contain 28329160 unique relations
  165. Mon Mar 16 09:56:11 2026 read 28329160 relations
  166. Mon Mar 16 09:56:40 2026 using 20 quadratic characters above 4294917295
  167. Mon Mar 16 09:57:41 2026 building initial matrix
  168. Mon Mar 16 09:59:36 2026 memory use: 3352.9 MB
  169. Mon Mar 16 09:59:39 2026 read 8057406 cycles
  170. Mon Mar 16 09:59:40 2026 matrix is 8057229 x 8057406 (3231.4 MB) with weight 916126358 (113.70/col)
  171. Mon Mar 16 09:59:40 2026 sparse part has weight 766510051 (95.13/col)
  172. Mon Mar 16 10:00:10 2026 filtering completed in 2 passes
  173. Mon Mar 16 10:00:11 2026 matrix is 8056146 x 8056323 (3231.3 MB) with weight 916095715 (113.71/col)
  174. Mon Mar 16 10:00:11 2026 sparse part has weight 766500467 (95.14/col)
  175. Mon Mar 16 10:00:30 2026 matrix starts at (0, 0)
  176. Mon Mar 16 10:00:30 2026 matrix is 8056146 x 8056323 (3231.3 MB) with weight 916095715 (113.71/col)
  177. Mon Mar 16 10:00:30 2026 sparse part has weight 766500467 (95.14/col)
  178. Mon Mar 16 10:00:30 2026 saving the first 48 matrix rows for later
  179. Mon Mar 16 10:00:31 2026 matrix includes 64 packed rows
  180. Mon Mar 16 10:00:31 2026 matrix is 8056098 x 8056323 (3104.0 MB) with weight 780727084 (96.91/col)
  181. Mon Mar 16 10:00:31 2026 sparse part has weight 733137909 (91.00/col)
  182. Mon Mar 16 10:00:31 2026 using block size 8192 and superblock size 18874368 for processor cache size 196608 kB
  183. Mon Mar 16 10:00:47 2026 commencing Lanczos iteration (32 threads)
  184. Mon Mar 16 10:00:47 2026 memory use: 3001.4 MB
  185. Mon Mar 16 10:00:53 2026 linear algebra at 0.0%, ETA 8h50m
  186. Mon Mar 16 10:00:54 2026 checkpointing every 1040000 dimensions
  187. Mon Mar 16 17:54:55 2026 lanczos halted after 127403 iterations (dim = 8056095)
  188. Mon Mar 16 17:55:02 2026 recovered 32 nontrivial dependencies
  189. Mon Mar 16 17:55:03 2026 BLanczosTime: 28862
  190. Mon Mar 16 17:55:03 2026
  191. Mon Mar 16 17:55:03 2026 commencing square root phase
  192. Mon Mar 16 17:55:03 2026 handling dependencies 1 to 64
  193. Mon Mar 16 17:55:03 2026 reading relations for dependency 1
  194. Mon Mar 16 17:55:05 2026 read 4029897 cycles
  195. Mon Mar 16 17:55:13 2026 cycles contain 14165588 unique relations
  196. Mon Mar 16 17:57:07 2026 read 14165588 relations
  197. Mon Mar 16 17:58:16 2026 multiplying 14165588 relations
  198. Mon Mar 16 18:06:28 2026 multiply complete, coefficients have about 344.54 million bits
  199. Mon Mar 16 18:06:30 2026 initial square root is modulo 1521227
  200. Mon Mar 16 18:15:30 2026 sqrtTime: 1227
  201. Mon Mar 16 18:15:30 2026 p56 factor: 17391017897222396941991708866700086017467852480603433359
  202. Mon Mar 16 18:15:30 2026 p152 factor: 82889300816906656830692254152695078591216899459115479212116649744656779372183858117193914649619940141617302004642179577013841302592783468403982409273999
  203. Mon Mar 16 18:15:30 2026 elapsed time 09:12:37
  204.  
Tags: math
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