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Apr 15th, 2025
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  1. Tue Apr 15 11:48:13 2025
  2. Tue Apr 15 11:48:13 2025
  3. Tue Apr 15 11:48:13 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Apr 15 11:48:13 2025 random seeds: 64e0da74 ed4cd888
  5. Tue Apr 15 11:48:13 2025 Using 64 OpenMP threads
  6. Tue Apr 15 11:48:13 2025 factoring 523571962661518717456408557556528160295581851509072844662239081950653837745771657761133524401286007829877294159963319515577238741171686887274469404636065266732480203 (165 digits)
  7. Tue Apr 15 11:48:14 2025 searching for 15-digit factors
  8. Tue Apr 15 11:48:14 2025 commencing number field sieve (165-digit input)
  9. Tue Apr 15 11:48:14 2025 R0: -60410316147683641101514163702713
  10. Tue Apr 15 11:48:14 2025 R1: 50881986641040461
  11. Tue Apr 15 11:48:14 2025 A0: -15556165173520303879955757574183940668080
  12. Tue Apr 15 11:48:14 2025 A1: 4369396950898104497978248633485036
  13. Tue Apr 15 11:48:14 2025 A2: 1882323650916837202788972428
  14. Tue Apr 15 11:48:14 2025 A3: -566274004355571074407
  15. Tue Apr 15 11:48:14 2025 A4: -19978352994358
  16. Tue Apr 15 11:48:14 2025 A5: 650760
  17. Tue Apr 15 11:48:14 2025 skew 10404040.44, size 4.506e-16, alpha -8.104, combined = 7.015e-13 rroots = 3
  18. Tue Apr 15 11:48:14 2025
  19. Tue Apr 15 11:48:14 2025 commencing relation filtering
  20. Tue Apr 15 11:48:14 2025 setting target matrix density to 120.0
  21. Tue Apr 15 11:48:14 2025 estimated available RAM is 257948.4 MB
  22. Tue Apr 15 11:48:14 2025 commencing duplicate removal, pass 1
  23. Tue Apr 15 11:51:19 2025 error -1 reading relation 72610272
  24. Tue Apr 15 11:51:39 2025 error -1 reading relation 80677310
  25. Tue Apr 15 11:51:39 2025 error -1 reading relation 80679723
  26. Tue Apr 15 11:51:51 2025 error -1 reading relation 85401556
  27. Tue Apr 15 11:51:53 2025 error -1 reading relation 85963761
  28. Tue Apr 15 11:51:53 2025 error -1 reading relation 85994937
  29. Tue Apr 15 11:51:56 2025 error -1 reading relation 87311388
  30. Tue Apr 15 11:56:03 2025 error -1 reading relation 187436932
  31. Tue Apr 15 11:57:11 2025 error -1 reading relation 215228640
  32. Tue Apr 15 11:58:10 2025 error -1 reading relation 238614848
  33. Tue Apr 15 11:58:38 2025 error -1 reading relation 250362125
  34. Tue Apr 15 11:58:56 2025 error -1 reading relation 257593032
  35. Tue Apr 15 11:59:44 2025 skipped 106 malformed relations
  36. Tue Apr 15 11:59:44 2025 found 49959766 hash collisions in 277096841 relations
  37. Tue Apr 15 12:00:13 2025 commencing duplicate removal, pass 2
  38. Tue Apr 15 12:06:40 2025 found 45880218 duplicates and 231216623 unique relations
  39. Tue Apr 15 12:06:40 2025 memory use: 1449.5 MB
  40. Tue Apr 15 12:06:40 2025 reading ideals above 720000
  41. Tue Apr 15 12:06:40 2025 commencing singleton removal, initial pass
  42. Tue Apr 15 12:23:11 2025 memory use: 6024.0 MB
  43. Tue Apr 15 12:23:11 2025 reading all ideals from disk
  44. Tue Apr 15 12:23:16 2025 memory use: 10563.5 MB
  45. Tue Apr 15 12:23:41 2025 keeping 224726036 ideals with weight <= 200, target excess is 1107606
  46. Tue Apr 15 12:24:14 2025 commencing in-memory singleton removal
  47. Tue Apr 15 12:24:17 2025 begin with 231216623 relations and 224726036 unique ideals
  48. Tue Apr 15 12:24:36 2025 reduce to 122316882 relations and 101850272 ideals in 19 passes
  49. Tue Apr 15 12:24:36 2025 max relations containing the same ideal: 137
  50. Tue Apr 15 12:25:24 2025 removing 12304334 relations and 10304334 ideals in 2000000 cliques
  51. Tue Apr 15 12:25:30 2025 commencing in-memory singleton removal
  52. Tue Apr 15 12:25:32 2025 begin with 110012548 relations and 101850272 unique ideals
  53. Tue Apr 15 12:25:40 2025 reduce to 109053120 relations and 90566155 ideals in 10 passes
  54. Tue Apr 15 12:25:40 2025 max relations containing the same ideal: 129
  55. Tue Apr 15 12:26:22 2025 removing 9373591 relations and 7373591 ideals in 2000000 cliques
  56. Tue Apr 15 12:26:28 2025 commencing in-memory singleton removal
  57. Tue Apr 15 12:26:29 2025 begin with 99679529 relations and 90566155 unique ideals
  58. Tue Apr 15 12:26:35 2025 reduce to 99023339 relations and 82523969 ideals in 10 passes
  59. Tue Apr 15 12:26:35 2025 max relations containing the same ideal: 123
  60. Tue Apr 15 12:27:16 2025 removing 8494026 relations and 6494026 ideals in 2000000 cliques
  61. Tue Apr 15 12:27:22 2025 commencing in-memory singleton removal
  62. Tue Apr 15 12:27:23 2025 begin with 90529313 relations and 82523969 unique ideals
  63. Tue Apr 15 12:27:29 2025 reduce to 89930958 relations and 75420343 ideals in 9 passes
  64. Tue Apr 15 12:27:29 2025 max relations containing the same ideal: 114
  65. Tue Apr 15 12:28:03 2025 removing 8062839 relations and 6062839 ideals in 2000000 cliques
  66. Tue Apr 15 12:28:09 2025 commencing in-memory singleton removal
  67. Tue Apr 15 12:28:10 2025 begin with 81868119 relations and 75420343 unique ideals
  68. Tue Apr 15 12:28:15 2025 reduce to 81279561 relations and 68756821 ideals in 9 passes
  69. Tue Apr 15 12:28:15 2025 max relations containing the same ideal: 107
  70. Tue Apr 15 12:28:47 2025 removing 7814558 relations and 5814558 ideals in 2000000 cliques
  71. Tue Apr 15 12:28:52 2025 commencing in-memory singleton removal
  72. Tue Apr 15 12:28:53 2025 begin with 73465003 relations and 68756821 unique ideals
  73. Tue Apr 15 12:28:57 2025 reduce to 72857981 relations and 62321701 ideals in 9 passes
  74. Tue Apr 15 12:28:57 2025 max relations containing the same ideal: 100
  75. Tue Apr 15 12:29:27 2025 removing 7678435 relations and 5678435 ideals in 2000000 cliques
  76. Tue Apr 15 12:29:31 2025 commencing in-memory singleton removal
  77. Tue Apr 15 12:29:32 2025 begin with 65179546 relations and 62321701 unique ideals
  78. Tue Apr 15 12:29:36 2025 reduce to 64530415 relations and 55978370 ideals in 8 passes
  79. Tue Apr 15 12:29:36 2025 max relations containing the same ideal: 89
  80. Tue Apr 15 12:30:03 2025 removing 7616206 relations and 5616206 ideals in 2000000 cliques
  81. Tue Apr 15 12:30:07 2025 commencing in-memory singleton removal
  82. Tue Apr 15 12:30:07 2025 begin with 56914209 relations and 55978370 unique ideals
  83. Tue Apr 15 12:30:11 2025 reduce to 56195326 relations and 49623766 ideals in 8 passes
  84. Tue Apr 15 12:30:11 2025 max relations containing the same ideal: 81
  85. Tue Apr 15 12:30:33 2025 removing 7617604 relations and 5617604 ideals in 2000000 cliques
  86. Tue Apr 15 12:30:36 2025 commencing in-memory singleton removal
  87. Tue Apr 15 12:30:36 2025 begin with 48577722 relations and 49623766 unique ideals
  88. Tue Apr 15 12:30:40 2025 reduce to 47737083 relations and 43139617 ideals in 9 passes
  89. Tue Apr 15 12:30:40 2025 max relations containing the same ideal: 72
  90. Tue Apr 15 12:31:00 2025 removing 7688063 relations and 5688063 ideals in 2000000 cliques
  91. Tue Apr 15 12:31:03 2025 commencing in-memory singleton removal
  92. Tue Apr 15 12:31:04 2025 begin with 40049020 relations and 43139617 unique ideals
  93. Tue Apr 15 12:31:06 2025 reduce to 39022260 relations and 36386637 ideals in 11 passes
  94. Tue Apr 15 12:31:06 2025 max relations containing the same ideal: 63
  95. Tue Apr 15 12:31:25 2025 removing 5805110 relations and 4454310 ideals in 1350800 cliques
  96. Tue Apr 15 12:31:27 2025 commencing in-memory singleton removal
  97. Tue Apr 15 12:31:28 2025 begin with 33217150 relations and 36386637 unique ideals
  98. Tue Apr 15 12:31:30 2025 reduce to 32507774 relations and 31201120 ideals in 9 passes
  99. Tue Apr 15 12:31:30 2025 max relations containing the same ideal: 57
  100. Tue Apr 15 12:31:44 2025 removing 201866 relations and 180035 ideals in 21831 cliques
  101. Tue Apr 15 12:31:46 2025 commencing in-memory singleton removal
  102. Tue Apr 15 12:31:46 2025 begin with 32305908 relations and 31201120 unique ideals
  103. Tue Apr 15 12:31:48 2025 reduce to 32305043 relations and 31020219 ideals in 5 passes
  104. Tue Apr 15 12:31:48 2025 max relations containing the same ideal: 57
  105. Tue Apr 15 12:31:52 2025 relations with 0 large ideals: 4094
  106. Tue Apr 15 12:31:52 2025 relations with 1 large ideals: 39517
  107. Tue Apr 15 12:31:52 2025 relations with 2 large ideals: 482109
  108. Tue Apr 15 12:31:52 2025 relations with 3 large ideals: 2378714
  109. Tue Apr 15 12:31:52 2025 relations with 4 large ideals: 6141078
  110. Tue Apr 15 12:31:52 2025 relations with 5 large ideals: 9139166
  111. Tue Apr 15 12:31:52 2025 relations with 6 large ideals: 8163424
  112. Tue Apr 15 12:31:52 2025 relations with 7+ large ideals: 5956941
  113. Tue Apr 15 12:31:52 2025 commencing 2-way merge
  114. Tue Apr 15 12:32:12 2025 reduce to 19088731 relation sets and 17803906 unique ideals
  115. Tue Apr 15 12:32:12 2025 commencing full merge
  116. Tue Apr 15 12:38:34 2025 memory use: 2149.4 MB
  117. Tue Apr 15 12:38:36 2025 found 8330268 cycles, need 8266106
  118. Tue Apr 15 12:38:39 2025 weight of 8266106 cycles is about 992615558 (120.08/cycle)
  119. Tue Apr 15 12:38:39 2025 distribution of cycle lengths:
  120. Tue Apr 15 12:38:39 2025 1 relations: 615628
  121. Tue Apr 15 12:38:39 2025 2 relations: 581140
  122. Tue Apr 15 12:38:39 2025 3 relations: 574912
  123. Tue Apr 15 12:38:39 2025 4 relations: 556192
  124. Tue Apr 15 12:38:39 2025 5 relations: 553808
  125. Tue Apr 15 12:38:39 2025 6 relations: 535449
  126. Tue Apr 15 12:38:39 2025 7 relations: 529356
  127. Tue Apr 15 12:38:39 2025 8 relations: 502192
  128. Tue Apr 15 12:38:39 2025 9 relations: 481319
  129. Tue Apr 15 12:38:39 2025 10+ relations: 3336110
  130. Tue Apr 15 12:38:39 2025 heaviest cycle: 28 relations
  131. Tue Apr 15 12:38:41 2025 commencing cycle optimization
  132. Tue Apr 15 12:38:59 2025 start with 73113384 relations
  133. Tue Apr 15 12:41:35 2025 pruned 2847893 relations
  134. Tue Apr 15 12:41:36 2025 memory use: 2046.1 MB
  135. Tue Apr 15 12:41:36 2025 distribution of cycle lengths:
  136. Tue Apr 15 12:41:36 2025 1 relations: 615628
  137. Tue Apr 15 12:41:36 2025 2 relations: 594849
  138. Tue Apr 15 12:41:36 2025 3 relations: 596627
  139. Tue Apr 15 12:41:36 2025 4 relations: 575712
  140. Tue Apr 15 12:41:36 2025 5 relations: 576160
  141. Tue Apr 15 12:41:36 2025 6 relations: 556740
  142. Tue Apr 15 12:41:36 2025 7 relations: 552016
  143. Tue Apr 15 12:41:36 2025 8 relations: 522130
  144. Tue Apr 15 12:41:36 2025 9 relations: 499918
  145. Tue Apr 15 12:41:36 2025 10+ relations: 3176326
  146. Tue Apr 15 12:41:36 2025 heaviest cycle: 28 relations
  147. Tue Apr 15 12:41:46 2025 RelProcTime: 3212
  148. Tue Apr 15 12:41:46 2025
  149. Tue Apr 15 12:41:46 2025 commencing linear algebra
  150. Tue Apr 15 12:41:46 2025 using VBITS=256
  151. Tue Apr 15 12:41:47 2025 read 8266106 cycles
  152. Tue Apr 15 12:42:04 2025 cycles contain 31370283 unique relations
  153. Tue Apr 15 12:47:08 2025 read 31370283 relations
  154. Tue Apr 15 12:47:11 2025 using 20 quadratic characters above 4294917295
  155. Tue Apr 15 12:47:16 2025 building initial matrix
  156. Tue Apr 15 12:53:44 2025 memory use: 4168.3 MB
  157. Tue Apr 15 12:53:50 2025 read 8266106 cycles
  158. Tue Apr 15 12:53:52 2025 matrix is 8265925 x 8266106 (3911.2 MB) with weight 1184973240 (143.35/col)
  159. Tue Apr 15 12:53:52 2025 sparse part has weight 926101306 (112.04/col)
  160. Tue Apr 15 12:55:50 2025 filtering completed in 2 passes
  161. Tue Apr 15 12:55:52 2025 matrix is 8264873 x 8265050 (3911.1 MB) with weight 1184916943 (143.36/col)
  162. Tue Apr 15 12:55:52 2025 sparse part has weight 926081003 (112.05/col)
  163. Tue Apr 15 12:56:19 2025 matrix starts at (0, 0)
  164. Tue Apr 15 12:56:21 2025 matrix is 8264873 x 8265050 (3911.1 MB) with weight 1184916943 (143.36/col)
  165. Tue Apr 15 12:56:21 2025 sparse part has weight 926081003 (112.05/col)
  166. Tue Apr 15 12:56:21 2025 saving the first 240 matrix rows for later
  167. Tue Apr 15 12:56:24 2025 matrix includes 256 packed rows
  168. Tue Apr 15 12:56:28 2025 matrix is 8264633 x 8265050 (3515.3 MB) with weight 843203187 (102.02/col)
  169. Tue Apr 15 12:56:28 2025 sparse part has weight 789262454 (95.49/col)
  170. Tue Apr 15 12:56:28 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  171. Tue Apr 15 12:56:49 2025 commencing Lanczos iteration (64 threads)
  172. Tue Apr 15 12:56:49 2025 memory use: 4827.5 MB
  173. Tue Apr 15 13:02:00 2025 linear algebra at 0.4%, ETA 22h55m
  174. Tue Apr 15 13:03:53 2025 checking every 10000 dimensions, checkpointing every 660000 dimensions
  175. Tue Apr 15 18:20:50 2025 lanczos halted after 32382 iterations (dim = 8264633)
  176. Tue Apr 15 18:21:17 2025 recovered 27 nontrivial dependencies
  177. Tue Apr 15 18:21:17 2025 BLanczosTime: 20371
  178. Tue Apr 15 18:21:17 2025
  179. Tue Apr 15 18:21:17 2025 commencing square root phase
  180. Tue Apr 15 18:21:17 2025 handling dependencies 1 to 64
  181. Tue Apr 15 18:21:17 2025 reading relations for dependency 1
  182. Tue Apr 15 18:21:18 2025 read 4130745 cycles
  183. Tue Apr 15 18:21:24 2025 cycles contain 15684512 unique relations
  184. Tue Apr 15 18:25:19 2025 read 15684512 relations
  185. Tue Apr 15 18:26:11 2025 multiplying 15684512 relations
  186. Tue Apr 15 18:34:54 2025 multiply complete, coefficients have about 888.35 million bits
  187. Tue Apr 15 18:34:57 2025 initial square root is modulo 93283627
  188. Tue Apr 15 18:41:27 2025 sqrtTime: 1210
  189. Tue Apr 15 18:41:27 2025 p56 factor: 15678842902967466313637523553082154341228162808779417107
  190. Tue Apr 15 18:41:27 2025 p110 factor: 33393533304834920712227954418402911857813143843947906172299084179070392589872936984480077054245937198681236329
  191. Tue Apr 15 18:41:27 2025 elapsed time 06:53:14
  192.  
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