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Jul 13th, 2023
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  1. Thu Jul 13 10:15:13 2023
  2. Thu Jul 13 10:15:13 2023
  3. Thu Jul 13 10:15:13 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Jul 13 10:15:13 2023 random seeds: 4df149e8 83f73cfb
  5. Thu Jul 13 10:15:13 2023 factoring 90213253414736088065545839173229915561566781752467137440022531596778989660820983961832648818198155004821973253087510147952823670911158241130630730425588051850359617695833404992356043312900646116207231753614894921496405843083 (224 digits)
  6. Thu Jul 13 10:15:14 2023 no P-1/P+1/ECM available, skipping
  7. Thu Jul 13 10:15:14 2023 commencing number field sieve (224-digit input)
  8. Thu Jul 13 10:15:14 2023 R0: 2032182138225412683663698300371207239649
  9. Thu Jul 13 10:15:14 2023 R1: -1
  10. Thu Jul 13 10:15:14 2023 A0: -8527
  11. Thu Jul 13 10:15:14 2023 A1: 0
  12. Thu Jul 13 10:15:14 2023 A2: 0
  13. Thu Jul 13 10:15:14 2023 A3: 0
  14. Thu Jul 13 10:15:14 2023 A4: 0
  15. Thu Jul 13 10:15:14 2023 A5: 0
  16. Thu Jul 13 10:15:14 2023 A6: 1
  17. Thu Jul 13 10:15:14 2023 skew 5.79, size 1.210e-11, alpha -1.118, combined = 7.364e-13 rroots = 2
  18. Thu Jul 13 10:15:14 2023
  19. Thu Jul 13 10:15:14 2023 commencing relation filtering
  20. Thu Jul 13 10:15:14 2023 setting target matrix density to 112.0
  21. Thu Jul 13 10:15:14 2023 estimated available RAM is 15960.0 MB
  22. Thu Jul 13 10:15:14 2023 commencing duplicate removal, pass 1
  23. Thu Jul 13 10:32:04 2023 skipped 3 relations with b > 2^32
  24. Thu Jul 13 10:32:04 2023 skipped 5 relations with composite factors
  25. Thu Jul 13 10:32:04 2023 found 4477984 hash collisions in 101130301 relations
  26. Thu Jul 13 10:32:21 2023 added 1217802 free relations
  27. Thu Jul 13 10:32:21 2023 commencing duplicate removal, pass 2
  28. Thu Jul 13 10:33:03 2023 found 0 duplicates and 102348103 unique relations
  29. Thu Jul 13 10:33:03 2023 memory use: 261.2 MB
  30. Thu Jul 13 10:33:03 2023 reading ideals above 74776576
  31. Thu Jul 13 10:33:03 2023 commencing singleton removal, initial pass
  32. Thu Jul 13 10:45:51 2023 memory use: 2756.0 MB
  33. Thu Jul 13 10:45:51 2023 reading all ideals from disk
  34. Thu Jul 13 10:45:55 2023 memory use: 1916.9 MB
  35. Thu Jul 13 10:45:59 2023 commencing in-memory singleton removal
  36. Thu Jul 13 10:46:02 2023 begin with 102348103 relations and 84628776 unique ideals
  37. Thu Jul 13 10:46:31 2023 reduce to 69627688 relations and 48820963 ideals in 13 passes
  38. Thu Jul 13 10:46:31 2023 max relations containing the same ideal: 46
  39. Thu Jul 13 10:46:34 2023 reading ideals above 720000
  40. Thu Jul 13 10:46:35 2023 commencing singleton removal, initial pass
  41. Thu Jul 13 10:57:13 2023 memory use: 1506.0 MB
  42. Thu Jul 13 10:57:13 2023 reading all ideals from disk
  43. Thu Jul 13 10:57:19 2023 memory use: 2647.2 MB
  44. Thu Jul 13 10:57:30 2023 keeping 57224074 ideals with weight <= 200, target excess is 355882
  45. Thu Jul 13 10:57:41 2023 commencing in-memory singleton removal
  46. Thu Jul 13 10:57:49 2023 begin with 69627688 relations and 57224074 unique ideals
  47. Thu Jul 13 10:58:34 2023 reduce to 69626701 relations and 57223087 ideals in 6 passes
  48. Thu Jul 13 10:58:34 2023 max relations containing the same ideal: 200
  49. Thu Jul 13 10:59:23 2023 removing 8879156 relations and 6879156 ideals in 2000000 cliques
  50. Thu Jul 13 10:59:27 2023 commencing in-memory singleton removal
  51. Thu Jul 13 10:59:34 2023 begin with 60747545 relations and 57223087 unique ideals
  52. Thu Jul 13 11:00:40 2023 reduce to 59759297 relations and 49319844 ideals in 10 passes
  53. Thu Jul 13 11:00:40 2023 max relations containing the same ideal: 191
  54. Thu Jul 13 11:01:20 2023 removing 7138302 relations and 5138302 ideals in 2000000 cliques
  55. Thu Jul 13 11:01:24 2023 commencing in-memory singleton removal
  56. Thu Jul 13 11:01:31 2023 begin with 52620995 relations and 49319844 unique ideals
  57. Thu Jul 13 11:02:10 2023 reduce to 51910116 relations and 43446368 ideals in 7 passes
  58. Thu Jul 13 11:02:10 2023 max relations containing the same ideal: 176
  59. Thu Jul 13 11:02:43 2023 removing 6654068 relations and 4654068 ideals in 2000000 cliques
  60. Thu Jul 13 11:02:47 2023 commencing in-memory singleton removal
  61. Thu Jul 13 11:02:51 2023 begin with 45256048 relations and 43446368 unique ideals
  62. Thu Jul 13 11:03:23 2023 reduce to 44584092 relations and 38095707 ideals in 7 passes
  63. Thu Jul 13 11:03:23 2023 max relations containing the same ideal: 161
  64. Thu Jul 13 11:03:45 2023 removing 6423992 relations and 4423992 ideals in 2000000 cliques
  65. Thu Jul 13 11:03:47 2023 commencing in-memory singleton removal
  66. Thu Jul 13 11:03:50 2023 begin with 38160100 relations and 38095707 unique ideals
  67. Thu Jul 13 11:04:17 2023 reduce to 37472307 relations and 32955659 ideals in 8 passes
  68. Thu Jul 13 11:04:17 2023 max relations containing the same ideal: 141
  69. Thu Jul 13 11:04:39 2023 removing 6288028 relations and 4288028 ideals in 2000000 cliques
  70. Thu Jul 13 11:04:42 2023 commencing in-memory singleton removal
  71. Thu Jul 13 11:04:45 2023 begin with 31184279 relations and 32955659 unique ideals
  72. Thu Jul 13 11:05:03 2023 reduce to 30437713 relations and 27885482 ideals in 7 passes
  73. Thu Jul 13 11:05:03 2023 max relations containing the same ideal: 121
  74. Thu Jul 13 11:05:22 2023 removing 6189568 relations and 4189568 ideals in 2000000 cliques
  75. Thu Jul 13 11:05:24 2023 commencing in-memory singleton removal
  76. Thu Jul 13 11:05:27 2023 begin with 24248145 relations and 27885482 unique ideals
  77. Thu Jul 13 11:05:45 2023 reduce to 23383632 relations and 22780610 ideals in 9 passes
  78. Thu Jul 13 11:05:45 2023 max relations containing the same ideal: 103
  79. Thu Jul 13 11:05:59 2023 removing 949426 relations and 759228 ideals in 190198 cliques
  80. Thu Jul 13 11:06:01 2023 commencing in-memory singleton removal
  81. Thu Jul 13 11:06:03 2023 begin with 22434206 relations and 22780610 unique ideals
  82. Thu Jul 13 11:06:14 2023 reduce to 22406571 relations and 21993561 ideals in 6 passes
  83. Thu Jul 13 11:06:14 2023 max relations containing the same ideal: 99
  84. Thu Jul 13 11:06:32 2023 relations with 0 large ideals: 13130
  85. Thu Jul 13 11:06:32 2023 relations with 1 large ideals: 4210
  86. Thu Jul 13 11:06:32 2023 relations with 2 large ideals: 45131
  87. Thu Jul 13 11:06:32 2023 relations with 3 large ideals: 345216
  88. Thu Jul 13 11:06:32 2023 relations with 4 large ideals: 1448085
  89. Thu Jul 13 11:06:32 2023 relations with 5 large ideals: 3629362
  90. Thu Jul 13 11:06:32 2023 relations with 6 large ideals: 5680367
  91. Thu Jul 13 11:06:32 2023 relations with 7+ large ideals: 11241070
  92. Thu Jul 13 11:06:32 2023 commencing 2-way merge
  93. Thu Jul 13 11:06:48 2023 reduce to 15022522 relation sets and 14609512 unique ideals
  94. Thu Jul 13 11:06:48 2023 commencing full merge
  95. Thu Jul 13 11:14:01 2023 memory use: 1960.2 MB
  96. Thu Jul 13 11:14:03 2023 found 6919904 cycles, need 6895712
  97. Thu Jul 13 11:14:07 2023 weight of 6895712 cycles is about 772596993 (112.04/cycle)
  98. Thu Jul 13 11:14:07 2023 distribution of cycle lengths:
  99. Thu Jul 13 11:14:07 2023 1 relations: 279355
  100. Thu Jul 13 11:14:07 2023 2 relations: 444117
  101. Thu Jul 13 11:14:07 2023 3 relations: 530534
  102. Thu Jul 13 11:14:07 2023 4 relations: 549704
  103. Thu Jul 13 11:14:07 2023 5 relations: 560327
  104. Thu Jul 13 11:14:07 2023 6 relations: 546425
  105. Thu Jul 13 11:14:07 2023 7 relations: 527743
  106. Thu Jul 13 11:14:07 2023 8 relations: 491974
  107. Thu Jul 13 11:14:07 2023 9 relations: 452655
  108. Thu Jul 13 11:14:07 2023 10+ relations: 2512878
  109. Thu Jul 13 11:14:07 2023 heaviest cycle: 28 relations
  110. Thu Jul 13 11:14:09 2023 commencing cycle optimization
  111. Thu Jul 13 11:14:26 2023 start with 58187442 relations
  112. Thu Jul 13 11:17:08 2023 pruned 2650938 relations
  113. Thu Jul 13 11:17:08 2023 memory use: 1536.7 MB
  114. Thu Jul 13 11:17:08 2023 distribution of cycle lengths:
  115. Thu Jul 13 11:17:08 2023 1 relations: 279355
  116. Thu Jul 13 11:17:08 2023 2 relations: 455720
  117. Thu Jul 13 11:17:08 2023 3 relations: 554408
  118. Thu Jul 13 11:17:08 2023 4 relations: 573782
  119. Thu Jul 13 11:17:08 2023 5 relations: 589340
  120. Thu Jul 13 11:17:08 2023 6 relations: 572963
  121. Thu Jul 13 11:17:08 2023 7 relations: 553983
  122. Thu Jul 13 11:17:08 2023 8 relations: 513466
  123. Thu Jul 13 11:17:08 2023 9 relations: 470272
  124. Thu Jul 13 11:17:08 2023 10+ relations: 2332423
  125. Thu Jul 13 11:17:08 2023 heaviest cycle: 28 relations
  126. Thu Jul 13 11:17:29 2023 RelProcTime: 3735
  127. Thu Jul 13 11:17:29 2023 elapsed time 01:02:16
  128. Thu Jul 13 11:34:08 2023
  129. Thu Jul 13 11:34:08 2023
  130. Thu Jul 13 11:34:08 2023 Msieve v. 1.54 (SVN Unversioned directory)
  131. Thu Jul 13 11:34:08 2023 random seeds: 632cc630 f478daa6
  132. Thu Jul 13 11:34:08 2023 factoring 90213253414736088065545839173229915561566781752467137440022531596778989660820983961832648818198155004821973253087510147952823670911158241130630730425588051850359617695833404992356043312900646116207231753614894921496405843083 (224 digits)
  133. Thu Jul 13 11:34:09 2023 no P-1/P+1/ECM available, skipping
  134. Thu Jul 13 11:34:09 2023 commencing number field sieve (224-digit input)
  135. Thu Jul 13 11:34:09 2023 R0: 2032182138225412683663698300371207239649
  136. Thu Jul 13 11:34:09 2023 R1: -1
  137. Thu Jul 13 11:34:09 2023 A0: -8527
  138. Thu Jul 13 11:34:09 2023 A1: 0
  139. Thu Jul 13 11:34:09 2023 A2: 0
  140. Thu Jul 13 11:34:09 2023 A3: 0
  141. Thu Jul 13 11:34:09 2023 A4: 0
  142. Thu Jul 13 11:34:09 2023 A5: 0
  143. Thu Jul 13 11:34:09 2023 A6: 1
  144. Thu Jul 13 11:34:09 2023 skew 5.79, size 1.210e-11, alpha -1.118, combined = 7.364e-13 rroots = 2
  145. Thu Jul 13 11:34:09 2023
  146. Thu Jul 13 11:34:09 2023 commencing linear algebra
  147. Thu Jul 13 11:34:09 2023 using VBITS=512
  148. Thu Jul 13 11:34:10 2023 read 6895712 cycles
  149. Thu Jul 13 11:34:26 2023 cycles contain 22189719 unique relations
  150. Thu Jul 13 11:37:00 2023 read 22189719 relations
  151. Thu Jul 13 11:37:57 2023 using 20 quadratic characters above 4294917295
  152. Thu Jul 13 11:39:33 2023 building initial matrix
  153. Thu Jul 13 11:43:40 2023 memory use: 2939.7 MB
  154. Thu Jul 13 11:43:43 2023 read 6895712 cycles
  155. Thu Jul 13 11:43:44 2023 matrix is 6895535 x 6895712 (3041.7 MB) with weight 901348610 (130.71/col)
  156. Thu Jul 13 11:43:44 2023 sparse part has weight 721520945 (104.63/col)
  157. Thu Jul 13 11:44:48 2023 filtering completed in 2 passes
  158. Thu Jul 13 11:44:49 2023 matrix is 6895426 x 6895586 (3041.7 MB) with weight 901343625 (130.71/col)
  159. Thu Jul 13 11:44:49 2023 sparse part has weight 721519191 (104.63/col)
  160. Thu Jul 13 11:45:34 2023 matrix starts at (0, 0)
  161. Thu Jul 13 11:45:35 2023 matrix is 6895426 x 6895586 (3041.7 MB) with weight 901343625 (130.71/col)
  162. Thu Jul 13 11:45:35 2023 sparse part has weight 721519191 (104.63/col)
  163. Thu Jul 13 11:45:35 2023 saving the first 496 matrix rows for later
  164. Thu Jul 13 11:45:37 2023 matrix includes 512 packed rows
  165. Thu Jul 13 11:45:41 2023 matrix is 6894930 x 6895586 (2858.2 MB) with weight 620104339 (89.93/col)
  166. Thu Jul 13 11:45:41 2023 sparse part has weight 583755045 (84.66/col)
  167. Thu Jul 13 11:45:41 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  168. Thu Jul 13 11:45:41 2023 selected card has CUDA arch 8.6
  169. Thu Jul 13 11:46:19 2023 commencing Lanczos iteration
  170. Thu Jul 13 11:46:20 2023 memory use: 7925.9 MB
  171. Thu Jul 13 11:46:45 2023 linear algebra at 0.2%, ETA 2h59m
  172. Thu Jul 13 11:46:46 2023 checkpointing every 2290000 dimensions
  173. Thu Jul 13 14:47:14 2023 lanczos halted after 13488 iterations (dim = 6894927)
  174. Thu Jul 13 14:49:19 2023 recovered 33 nontrivial dependencies
  175. Thu Jul 13 14:49:19 2023 BLanczosTime: 11710
  176. Thu Jul 13 14:49:19 2023
  177. Thu Jul 13 14:49:19 2023 commencing square root phase
  178. Thu Jul 13 14:49:19 2023 handling dependencies 1 to 64
  179. Thu Jul 13 14:49:19 2023 reading relations for dependency 1
  180. Thu Jul 13 14:49:20 2023 read 3448475 cycles
  181. Thu Jul 13 14:49:26 2023 cycles contain 11095334 unique relations
  182. Thu Jul 13 14:50:21 2023 read 11095334 relations
  183. Thu Jul 13 14:51:04 2023 multiplying 11095334 relations
  184. Thu Jul 13 14:56:59 2023 multiply complete, coefficients have about 284.77 million bits
  185. Thu Jul 13 14:57:00 2023 initial square root is modulo 128959
  186. Thu Jul 13 15:03:49 2023 sqrtTime: 870
  187. Thu Jul 13 15:03:49 2023 p99 factor: 556458306723508767164833096911700201845072801478389456290601762374433480397047025420993596625801577
  188. Thu Jul 13 15:03:49 2023 p126 factor: 162120418232090409552084170913356710682371142430568843664365200331427116983823208579102332561876783481958453504224143822490579
  189. Thu Jul 13 15:03:49 2023 elapsed time 03:29:41
  190.  
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