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Apr 20th, 2025
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  1. Sat Apr 19 13:41:48 2025
  2. Sat Apr 19 13:41:48 2025
  3. Sat Apr 19 13:41:48 2025 Msieve v. 1.54 (SVN unknown)
  4. Sat Apr 19 13:41:48 2025 random seeds: 7f46bfd1 92d04c10
  5. Sat Apr 19 13:41:48 2025 factoring 4093451524492094617315569172974352727709761854423365773920602956650736352373252367323546780078211110072244976756792354026819110338596146349644845671652606802383713938164035154194179274667854166037311998118834410384580287 (220 digits)
  6. Sat Apr 19 13:41:49 2025 no P-1/P+1/ECM available, skipping
  7. Sat Apr 19 13:41:49 2025 commencing number field sieve (220-digit input)
  8. Sat Apr 19 13:41:49 2025 R0: 916545688113116557156641560094012526081
  9. Sat Apr 19 13:41:49 2025 R1: -1
  10. Sat Apr 19 13:41:49 2025 A0: -74177
  11. Sat Apr 19 13:41:49 2025 A1: 0
  12. Sat Apr 19 13:41:49 2025 A2: 0
  13. Sat Apr 19 13:41:49 2025 A3: 0
  14. Sat Apr 19 13:41:49 2025 A4: 0
  15. Sat Apr 19 13:41:49 2025 A5: 0
  16. Sat Apr 19 13:41:49 2025 A6: 1
  17. Sat Apr 19 13:41:49 2025 skew 8.29, size 1.049e-11, alpha -0.724, combined = 6.717e-13 rroots = 2
  18. Sat Apr 19 13:41:49 2025
  19. Sat Apr 19 13:41:49 2025 commencing relation filtering
  20. Sat Apr 19 13:41:49 2025 setting max relations to 146000000
  21. Sat Apr 19 13:41:49 2025 setting target matrix density to 112.0
  22. Sat Apr 19 13:41:49 2025 estimated available RAM is 15954.4 MB
  23. Sat Apr 19 13:41:49 2025 commencing duplicate removal, pass 1
  24. Sat Apr 19 14:10:03 2025 skipped 2 relations with b > 2^32
  25. Sat Apr 19 14:10:03 2025 skipped 2 relations with composite factors
  26. Sat Apr 19 14:10:03 2025 found 4745132 hash collisions in 145999996 relations
  27. Sat Apr 19 14:10:03 2025 commencing duplicate removal, pass 2
  28. Sat Apr 19 14:11:48 2025 found 0 duplicates and 145999996 unique relations
  29. Sat Apr 19 14:11:48 2025 memory use: 389.2 MB
  30. Sat Apr 19 14:11:48 2025 reading ideals above 83951616
  31. Sat Apr 19 14:11:48 2025 commencing singleton removal, initial pass
  32. Sat Apr 19 14:35:17 2025 memory use: 3012.0 MB
  33. Sat Apr 19 14:35:18 2025 reading all ideals from disk
  34. Sat Apr 19 14:35:23 2025 memory use: 2691.0 MB
  35. Sat Apr 19 14:35:49 2025 commencing in-memory singleton removal
  36. Sat Apr 19 14:36:15 2025 begin with 145999996 relations and 121040726 unique ideals
  37. Sat Apr 19 14:40:53 2025 reduce to 97114410 relations and 67549856 ideals in 15 passes
  38. Sat Apr 19 14:40:53 2025 max relations containing the same ideal: 47
  39. Sat Apr 19 14:41:11 2025 reading ideals above 720000
  40. Sat Apr 19 14:41:12 2025 commencing singleton removal, initial pass
  41. Sat Apr 19 15:04:41 2025 memory use: 1506.0 MB
  42. Sat Apr 19 15:04:41 2025 reading all ideals from disk
  43. Sat Apr 19 15:04:50 2025 memory use: 3706.1 MB
  44. Sat Apr 19 15:05:31 2025 keeping 76840197 ideals with weight <= 200, target excess is 478030
  45. Sat Apr 19 15:06:09 2025 commencing in-memory singleton removal
  46. Sat Apr 19 15:06:32 2025 begin with 97114410 relations and 76840197 unique ideals
  47. Sat Apr 19 15:07:37 2025 reduce to 97114387 relations and 76840174 ideals in 3 passes
  48. Sat Apr 19 15:07:37 2025 max relations containing the same ideal: 200
  49. Sat Apr 19 15:09:43 2025 removing 9317966 relations and 7317966 ideals in 2000000 cliques
  50. Sat Apr 19 15:09:52 2025 commencing in-memory singleton removal
  51. Sat Apr 19 15:10:10 2025 begin with 87796421 relations and 76840174 unique ideals
  52. Sat Apr 19 15:12:19 2025 reduce to 87095443 relations and 68802936 ideals in 9 passes
  53. Sat Apr 19 15:12:19 2025 max relations containing the same ideal: 195
  54. Sat Apr 19 15:13:43 2025 removing 7282249 relations and 5282249 ideals in 2000000 cliques
  55. Sat Apr 19 15:13:50 2025 commencing in-memory singleton removal
  56. Sat Apr 19 15:14:05 2025 begin with 79813194 relations and 68802936 unique ideals
  57. Sat Apr 19 15:15:39 2025 reduce to 79325178 relations and 63021325 ideals in 7 passes
  58. Sat Apr 19 15:15:39 2025 max relations containing the same ideal: 185
  59. Sat Apr 19 15:16:55 2025 removing 6723716 relations and 4723716 ideals in 2000000 cliques
  60. Sat Apr 19 15:17:02 2025 commencing in-memory singleton removal
  61. Sat Apr 19 15:17:16 2025 begin with 72601462 relations and 63021325 unique ideals
  62. Sat Apr 19 15:18:37 2025 reduce to 72159131 relations and 57844818 ideals in 7 passes
  63. Sat Apr 19 15:18:37 2025 max relations containing the same ideal: 174
  64. Sat Apr 19 15:19:46 2025 removing 6452690 relations and 4452690 ideals in 2000000 cliques
  65. Sat Apr 19 15:19:53 2025 commencing in-memory singleton removal
  66. Sat Apr 19 15:20:05 2025 begin with 65706441 relations and 57844818 unique ideals
  67. Sat Apr 19 15:21:29 2025 reduce to 65273245 relations and 52947844 ideals in 8 passes
  68. Sat Apr 19 15:21:29 2025 max relations containing the same ideal: 166
  69. Sat Apr 19 15:22:29 2025 removing 6295139 relations and 4295139 ideals in 2000000 cliques
  70. Sat Apr 19 15:22:35 2025 commencing in-memory singleton removal
  71. Sat Apr 19 15:22:46 2025 begin with 58978106 relations and 52947844 unique ideals
  72. Sat Apr 19 15:23:43 2025 reduce to 58532598 relations and 48195111 ideals in 6 passes
  73. Sat Apr 19 15:23:43 2025 max relations containing the same ideal: 153
  74. Sat Apr 19 15:24:34 2025 removing 6210075 relations and 4210075 ideals in 2000000 cliques
  75. Sat Apr 19 15:24:38 2025 commencing in-memory singleton removal
  76. Sat Apr 19 15:24:48 2025 begin with 52322523 relations and 48195111 unique ideals
  77. Sat Apr 19 15:25:44 2025 reduce to 51847804 relations and 43496092 ideals in 7 passes
  78. Sat Apr 19 15:25:44 2025 max relations containing the same ideal: 141
  79. Sat Apr 19 15:26:29 2025 removing 6171147 relations and 4171147 ideals in 2000000 cliques
  80. Sat Apr 19 15:26:34 2025 commencing in-memory singleton removal
  81. Sat Apr 19 15:26:42 2025 begin with 45676657 relations and 43496092 unique ideals
  82. Sat Apr 19 15:27:30 2025 reduce to 45154657 relations and 38785294 ideals in 7 passes
  83. Sat Apr 19 15:27:30 2025 max relations containing the same ideal: 127
  84. Sat Apr 19 15:28:11 2025 removing 6174345 relations and 4174345 ideals in 2000000 cliques
  85. Sat Apr 19 15:28:16 2025 commencing in-memory singleton removal
  86. Sat Apr 19 15:28:22 2025 begin with 38980312 relations and 38785294 unique ideals
  87. Sat Apr 19 15:29:03 2025 reduce to 38382017 relations and 33989416 ideals in 7 passes
  88. Sat Apr 19 15:29:03 2025 max relations containing the same ideal: 114
  89. Sat Apr 19 15:29:40 2025 removing 6214454 relations and 4214454 ideals in 2000000 cliques
  90. Sat Apr 19 15:29:44 2025 commencing in-memory singleton removal
  91. Sat Apr 19 15:29:50 2025 begin with 32167563 relations and 33989416 unique ideals
  92. Sat Apr 19 15:30:28 2025 reduce to 31445224 relations and 29019752 ideals in 8 passes
  93. Sat Apr 19 15:30:28 2025 max relations containing the same ideal: 98
  94. Sat Apr 19 15:30:55 2025 removing 5959468 relations and 4088511 ideals in 1870957 cliques
  95. Sat Apr 19 15:30:58 2025 commencing in-memory singleton removal
  96. Sat Apr 19 15:31:02 2025 begin with 25485756 relations and 29019752 unique ideals
  97. Sat Apr 19 15:31:32 2025 reduce to 24647270 relations and 24048338 ideals in 8 passes
  98. Sat Apr 19 15:31:32 2025 max relations containing the same ideal: 84
  99. Sat Apr 19 15:31:55 2025 removing 297632 relations and 253215 ideals in 44417 cliques
  100. Sat Apr 19 15:31:57 2025 commencing in-memory singleton removal
  101. Sat Apr 19 15:32:01 2025 begin with 24349638 relations and 24048338 unique ideals
  102. Sat Apr 19 15:32:21 2025 reduce to 24346844 relations and 23792326 ideals in 6 passes
  103. Sat Apr 19 15:32:21 2025 max relations containing the same ideal: 83
  104. Sat Apr 19 15:32:30 2025 relations with 0 large ideals: 18140
  105. Sat Apr 19 15:32:30 2025 relations with 1 large ideals: 6901
  106. Sat Apr 19 15:32:30 2025 relations with 2 large ideals: 89073
  107. Sat Apr 19 15:32:30 2025 relations with 3 large ideals: 606109
  108. Sat Apr 19 15:32:30 2025 relations with 4 large ideals: 2218911
  109. Sat Apr 19 15:32:30 2025 relations with 5 large ideals: 4814432
  110. Sat Apr 19 15:32:30 2025 relations with 6 large ideals: 6514617
  111. Sat Apr 19 15:32:30 2025 relations with 7+ large ideals: 10078661
  112. Sat Apr 19 15:32:30 2025 commencing 2-way merge
  113. Sat Apr 19 15:33:00 2025 reduce to 15806523 relation sets and 15252005 unique ideals
  114. Sat Apr 19 15:33:00 2025 commencing full merge
  115. Sat Apr 19 15:46:40 2025 memory use: 2037.2 MB
  116. Sat Apr 19 15:46:44 2025 found 7201285 cycles, need 7184205
  117. Sat Apr 19 15:46:50 2025 weight of 7184205 cycles is about 805316594 (112.10/cycle)
  118. Sat Apr 19 15:46:50 2025 distribution of cycle lengths:
  119. Sat Apr 19 15:46:50 2025 1 relations: 377501
  120. Sat Apr 19 15:46:50 2025 2 relations: 481045
  121. Sat Apr 19 15:46:50 2025 3 relations: 539946
  122. Sat Apr 19 15:46:50 2025 4 relations: 544035
  123. Sat Apr 19 15:46:50 2025 5 relations: 553089
  124. Sat Apr 19 15:46:50 2025 6 relations: 539935
  125. Sat Apr 19 15:46:50 2025 7 relations: 522950
  126. Sat Apr 19 15:46:50 2025 8 relations: 491535
  127. Sat Apr 19 15:46:50 2025 9 relations: 454485
  128. Sat Apr 19 15:46:50 2025 10+ relations: 2679684
  129. Sat Apr 19 15:46:50 2025 heaviest cycle: 28 relations
  130. Sat Apr 19 15:46:56 2025 commencing cycle optimization
  131. Sat Apr 19 15:47:35 2025 start with 61506558 relations
  132. Sat Apr 19 15:52:56 2025 pruned 2765543 relations
  133. Sat Apr 19 15:52:56 2025 memory use: 1640.4 MB
  134. Sat Apr 19 15:52:56 2025 distribution of cycle lengths:
  135. Sat Apr 19 15:52:56 2025 1 relations: 377501
  136. Sat Apr 19 15:52:56 2025 2 relations: 492614
  137. Sat Apr 19 15:52:56 2025 3 relations: 562063
  138. Sat Apr 19 15:52:56 2025 4 relations: 566062
  139. Sat Apr 19 15:52:56 2025 5 relations: 580275
  140. Sat Apr 19 15:52:56 2025 6 relations: 565020
  141. Sat Apr 19 15:52:56 2025 7 relations: 548587
  142. Sat Apr 19 15:52:56 2025 8 relations: 513157
  143. Sat Apr 19 15:52:56 2025 9 relations: 472810
  144. Sat Apr 19 15:52:56 2025 10+ relations: 2506116
  145. Sat Apr 19 15:52:56 2025 heaviest cycle: 28 relations
  146. Sat Apr 19 15:53:38 2025 RelProcTime: 7909
  147. Sat Apr 19 15:53:38 2025 elapsed time 02:11:50
  148. Sat Apr 19 20:23:40 2025
  149. Sat Apr 19 20:23:40 2025
  150. Sat Apr 19 20:23:40 2025 Msieve v. 1.54 (SVN unknown)
  151. Sat Apr 19 20:23:40 2025 random seeds: 5bab86f7 7045cdcb
  152. Sat Apr 19 20:23:40 2025 factoring 4093451524492094617315569172974352727709761854423365773920602956650736352373252367323546780078211110072244976756792354026819110338596146349644845671652606802383713938164035154194179274667854166037311998118834410384580287 (220 digits)
  153. Sat Apr 19 20:23:41 2025 no P-1/P+1/ECM available, skipping
  154. Sat Apr 19 20:23:41 2025 commencing number field sieve (220-digit input)
  155. Sat Apr 19 20:23:41 2025 R0: 916545688113116557156641560094012526081
  156. Sat Apr 19 20:23:41 2025 R1: -1
  157. Sat Apr 19 20:23:41 2025 A0: -74177
  158. Sat Apr 19 20:23:41 2025 A1: 0
  159. Sat Apr 19 20:23:41 2025 A2: 0
  160. Sat Apr 19 20:23:41 2025 A3: 0
  161. Sat Apr 19 20:23:41 2025 A4: 0
  162. Sat Apr 19 20:23:41 2025 A5: 0
  163. Sat Apr 19 20:23:41 2025 A6: 1
  164. Sat Apr 19 20:23:41 2025 skew 8.29, size 1.049e-11, alpha -0.724, combined = 6.717e-13 rroots = 2
  165. Sat Apr 19 20:23:41 2025
  166. Sat Apr 19 20:23:41 2025 commencing linear algebra
  167. Sat Apr 19 20:23:41 2025 using VBITS=512
  168. Sat Apr 19 20:23:42 2025 read 7184038 cycles
  169. Sat Apr 19 20:23:55 2025 cycles contain 24029499 unique relations
  170. Sat Apr 19 20:25:07 2025 read 24029499 relations
  171. Sat Apr 19 20:25:34 2025 using 20 quadratic characters above 4294917295
  172. Sat Apr 19 20:27:07 2025 building initial matrix
  173. Sat Apr 19 20:31:08 2025 memory use: 3072.2 MB
  174. Sat Apr 19 20:31:11 2025 read 7184038 cycles
  175. Sat Apr 19 20:31:12 2025 matrix is 7183875 x 7184038 (3170.6 MB) with weight 937037833 (130.43/col)
  176. Sat Apr 19 20:31:12 2025 sparse part has weight 752137295 (104.70/col)
  177. Sat Apr 19 20:31:49 2025 filtering completed in 1 passes
  178. Sat Apr 19 20:31:50 2025 matrix is 7183875 x 7184038 (3170.6 MB) with weight 937037833 (130.43/col)
  179. Sat Apr 19 20:31:50 2025 sparse part has weight 752137295 (104.70/col)
  180. Sat Apr 19 20:32:03 2025 matrix starts at (0, 0)
  181. Sat Apr 19 20:32:04 2025 matrix is 7183875 x 7184038 (3170.6 MB) with weight 937037833 (130.43/col)
  182. Sat Apr 19 20:32:04 2025 sparse part has weight 752137295 (104.70/col)
  183. Sat Apr 19 20:32:04 2025 saving the first 496 matrix rows for later
  184. Sat Apr 19 20:32:05 2025 matrix includes 512 packed rows
  185. Sat Apr 19 20:32:10 2025 matrix is 7183379 x 7184038 (2994.4 MB) with weight 649600403 (90.42/col)
  186. Sat Apr 19 20:32:10 2025 sparse part has weight 612552040 (85.27/col)
  187. Sat Apr 19 20:32:10 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  188. Sat Apr 19 20:32:11 2025 selected card has CUDA arch 8.6
  189. Sat Apr 19 20:32:52 2025 commencing Lanczos iteration
  190. Sat Apr 19 20:32:52 2025 memory use: 8345.7 MB
  191. Sat Apr 19 20:33:19 2025 linear algebra at 0.2%, ETA 3h22m
  192. Sat Apr 19 20:33:20 2025 checkpointing every 2120000 dimensions
  193. Sun Apr 20 00:11:25 2025 lanczos halted after 14052 iterations (dim = 7183375)
  194. Sun Apr 20 00:13:05 2025 recovered 31 nontrivial dependencies
  195. Sun Apr 20 00:13:06 2025 BLanczosTime: 13765
  196. Sun Apr 20 00:13:06 2025
  197. Sun Apr 20 00:13:06 2025 commencing square root phase
  198. Sun Apr 20 00:13:06 2025 handling dependencies 1 to 64
  199. Sun Apr 20 00:13:06 2025 reading relations for dependency 1
  200. Sun Apr 20 00:13:06 2025 read 3593873 cycles
  201. Sun Apr 20 00:13:12 2025 cycles contain 12014816 unique relations
  202. Sun Apr 20 00:14:02 2025 read 12014816 relations
  203. Sun Apr 20 00:14:47 2025 multiplying 12014816 relations
  204. Sun Apr 20 00:20:49 2025 multiply complete, coefficients have about 310.10 million bits
  205. Sun Apr 20 00:20:50 2025 initial square root is modulo 366733
  206. Sun Apr 20 00:27:29 2025 GCD is 1, no factor found
  207. Sun Apr 20 00:27:29 2025 reading relations for dependency 2
  208. Sun Apr 20 00:27:30 2025 read 3592697 cycles
  209. Sun Apr 20 00:27:35 2025 cycles contain 12017412 unique relations
  210. Sun Apr 20 00:28:24 2025 read 12017412 relations
  211. Sun Apr 20 00:29:06 2025 multiplying 12017412 relations
  212. Sun Apr 20 00:35:08 2025 multiply complete, coefficients have about 310.17 million bits
  213. Sun Apr 20 00:35:09 2025 initial square root is modulo 367687
  214. Sun Apr 20 00:41:49 2025 GCD is 1, no factor found
  215. Sun Apr 20 00:41:49 2025 reading relations for dependency 3
  216. Sun Apr 20 00:41:50 2025 read 3591923 cycles
  217. Sun Apr 20 00:41:55 2025 cycles contain 12015766 unique relations
  218. Sun Apr 20 00:42:44 2025 read 12015766 relations
  219. Sun Apr 20 00:43:26 2025 multiplying 12015766 relations
  220. Sun Apr 20 00:49:26 2025 multiply complete, coefficients have about 310.12 million bits
  221. Sun Apr 20 00:49:27 2025 initial square root is modulo 367069
  222. Sun Apr 20 00:56:06 2025 sqrtTime: 2580
  223. Sun Apr 20 00:56:06 2025 p69 factor: 104476785557951638335407203245292787746339333816049233023017809068983
  224. Sun Apr 20 00:56:06 2025 p152 factor: 39180488781610926397033660128690730119595777824970815085863439563111433084746560878526669063782837501647507750092297542037231770876458796038669520997689
  225. Sun Apr 20 00:56:06 2025 elapsed time 04:32:26
  226.  
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