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Apr 19th, 2023
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  1. Tue Apr 18 22:08:27 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Tue Apr 18 22:08:27 2023 random seeds: e99ce8ce de8e6797
  3. Tue Apr 18 22:08:27 2023 Using 16 OpenMP threads
  4. Tue Apr 18 22:08:27 2023 factoring 56716132691974376618746766168132165624263535028049706813792278840009538554996260432048077172235804322105558635364929196218089018310570797581953027535683023679293067830328794040528800976891087952594431932781606779486148834864213315565915335729882559355567483341 (260 digits)
  5. Tue Apr 18 22:08:27 2023 no P-1/P+1/ECM available, skipping
  6. Tue Apr 18 22:08:27 2023 commencing number field sieve (260-digit input)
  7. Tue Apr 18 22:08:27 2023 R0: 21684043449710088680149056017398834228515625
  8. Tue Apr 18 22:08:27 2023 R1: -1
  9. Tue Apr 18 22:08:27 2023 A0: 5
  10. Tue Apr 18 22:08:27 2023 A1: 0
  11. Tue Apr 18 22:08:27 2023 A2: 0
  12. Tue Apr 18 22:08:27 2023 A3: 0
  13. Tue Apr 18 22:08:27 2023 A4: 0
  14. Tue Apr 18 22:08:27 2023 A5: 0
  15. Tue Apr 18 22:08:27 2023 A6: 371
  16. Tue Apr 18 22:08:27 2023 skew 0.66, size 4.157e-13, alpha 0.699, combined = 6.201e-14 rroots = 0
  17. Tue Apr 18 22:08:27 2023
  18. Tue Apr 18 22:08:27 2023 commencing relation filtering
  19. Tue Apr 18 22:08:27 2023 setting target matrix density to 110.0
  20. Tue Apr 18 22:08:27 2023 estimated available RAM is 64238.6 MB
  21. Tue Apr 18 22:08:27 2023 commencing duplicate removal, pass 1
  22. Tue Apr 18 22:09:15 2023 error -1 reading relation 67652975
  23. Tue Apr 18 22:09:15 2023 error -15 reading relation 67893647
  24. Tue Apr 18 22:11:23 2023 skipped 1521 relations with b > 2^32
  25. Tue Apr 18 22:11:23 2023 skipped 2 malformed relations
  26. Tue Apr 18 22:11:23 2023 found 13440590 hash collisions in 249584596 relations
  27. Tue Apr 18 22:11:31 2023 added 1218465 free relations
  28. Tue Apr 18 22:11:31 2023 commencing duplicate removal, pass 2
  29. Tue Apr 18 22:12:16 2023 found 0 duplicates and 250803061 unique relations
  30. Tue Apr 18 22:12:16 2023 memory use: 852.8 MB
  31. Tue Apr 18 22:12:16 2023 reading ideals above 720000
  32. Tue Apr 18 22:12:16 2023 commencing singleton removal, initial pass
  33. Tue Apr 18 22:20:10 2023 memory use: 6024.0 MB
  34. Tue Apr 18 22:20:10 2023 reading all ideals from disk
  35. Tue Apr 18 22:20:12 2023 memory use: 12306.2 MB
  36. Tue Apr 18 22:20:24 2023 keeping 234088923 ideals with weight <= 200, target excess is 1301318
  37. Tue Apr 18 22:20:40 2023 commencing in-memory singleton removal
  38. Tue Apr 18 22:20:45 2023 begin with 250803061 relations and 234088923 unique ideals
  39. Tue Apr 18 22:21:17 2023 reduce to 170744661 relations and 149094572 ideals in 17 passes
  40. Tue Apr 18 22:21:17 2023 max relations containing the same ideal: 168
  41. Tue Apr 18 22:21:51 2023 removing 14721769 relations and 12721769 ideals in 2000000 cliques
  42. Tue Apr 18 22:21:54 2023 commencing in-memory singleton removal
  43. Tue Apr 18 22:21:57 2023 begin with 156022892 relations and 149094572 unique ideals
  44. Tue Apr 18 22:22:14 2023 reduce to 155048876 relations and 135383526 ideals in 11 passes
  45. Tue Apr 18 22:22:14 2023 max relations containing the same ideal: 154
  46. Tue Apr 18 22:22:43 2023 removing 11045652 relations and 9045652 ideals in 2000000 cliques
  47. Tue Apr 18 22:22:46 2023 commencing in-memory singleton removal
  48. Tue Apr 18 22:22:49 2023 begin with 144003224 relations and 135383526 unique ideals
  49. Tue Apr 18 22:23:01 2023 reduce to 143370036 relations and 125696111 ideals in 9 passes
  50. Tue Apr 18 22:23:01 2023 max relations containing the same ideal: 145
  51. Tue Apr 18 22:23:29 2023 removing 9921293 relations and 7921293 ideals in 2000000 cliques
  52. Tue Apr 18 22:23:32 2023 commencing in-memory singleton removal
  53. Tue Apr 18 22:23:34 2023 begin with 133448743 relations and 125696111 unique ideals
  54. Tue Apr 18 22:23:46 2023 reduce to 132890381 relations and 117209017 ideals in 9 passes
  55. Tue Apr 18 22:23:46 2023 max relations containing the same ideal: 140
  56. Tue Apr 18 22:24:12 2023 removing 9330543 relations and 7330543 ideals in 2000000 cliques
  57. Tue Apr 18 22:24:15 2023 commencing in-memory singleton removal
  58. Tue Apr 18 22:24:17 2023 begin with 123559838 relations and 117209017 unique ideals
  59. Tue Apr 18 22:24:26 2023 reduce to 123023830 relations and 109335158 ideals in 8 passes
  60. Tue Apr 18 22:24:26 2023 max relations containing the same ideal: 132
  61. Tue Apr 18 22:24:51 2023 removing 8975611 relations and 6975611 ideals in 2000000 cliques
  62. Tue Apr 18 22:24:53 2023 commencing in-memory singleton removal
  63. Tue Apr 18 22:24:55 2023 begin with 114048219 relations and 109335158 unique ideals
  64. Tue Apr 18 22:25:03 2023 reduce to 113516365 relations and 101819914 ideals in 7 passes
  65. Tue Apr 18 22:25:03 2023 max relations containing the same ideal: 129
  66. Tue Apr 18 22:25:25 2023 removing 8747017 relations and 6747017 ideals in 2000000 cliques
  67. Tue Apr 18 22:25:28 2023 commencing in-memory singleton removal
  68. Tue Apr 18 22:25:30 2023 begin with 104769348 relations and 101819914 unique ideals
  69. Tue Apr 18 22:25:37 2023 reduce to 104221071 relations and 94516285 ideals in 8 passes
  70. Tue Apr 18 22:25:37 2023 max relations containing the same ideal: 120
  71. Tue Apr 18 22:25:58 2023 removing 8609402 relations and 6609402 ideals in 2000000 cliques
  72. Tue Apr 18 22:26:01 2023 commencing in-memory singleton removal
  73. Tue Apr 18 22:26:02 2023 begin with 95611669 relations and 94516285 unique ideals
  74. Tue Apr 18 22:26:09 2023 reduce to 95036026 relations and 87321524 ideals in 8 passes
  75. Tue Apr 18 22:26:09 2023 max relations containing the same ideal: 116
  76. Tue Apr 18 22:26:29 2023 removing 8537354 relations and 6537354 ideals in 2000000 cliques
  77. Tue Apr 18 22:26:31 2023 commencing in-memory singleton removal
  78. Tue Apr 18 22:26:32 2023 begin with 86498672 relations and 87321524 unique ideals
  79. Tue Apr 18 22:26:39 2023 reduce to 85874576 relations and 80148678 ideals in 9 passes
  80. Tue Apr 18 22:26:39 2023 max relations containing the same ideal: 105
  81. Tue Apr 18 22:26:57 2023 removing 8523513 relations and 6523514 ideals in 2000000 cliques
  82. Tue Apr 18 22:26:59 2023 commencing in-memory singleton removal
  83. Tue Apr 18 22:27:00 2023 begin with 77351063 relations and 80148678 unique ideals
  84. Tue Apr 18 22:27:06 2023 reduce to 76656706 relations and 72916837 ideals in 8 passes
  85. Tue Apr 18 22:27:06 2023 max relations containing the same ideal: 95
  86. Tue Apr 18 22:27:22 2023 removing 8562409 relations and 6562409 ideals in 2000000 cliques
  87. Tue Apr 18 22:27:24 2023 commencing in-memory singleton removal
  88. Tue Apr 18 22:27:25 2023 begin with 68094297 relations and 72916837 unique ideals
  89. Tue Apr 18 22:27:31 2023 reduce to 67298540 relations and 65540787 ideals in 10 passes
  90. Tue Apr 18 22:27:31 2023 max relations containing the same ideal: 88
  91. Tue Apr 18 22:27:46 2023 removing 1620706 relations and 1372482 ideals in 248224 cliques
  92. Tue Apr 18 22:27:47 2023 commencing in-memory singleton removal
  93. Tue Apr 18 22:27:48 2023 begin with 65677834 relations and 65540787 unique ideals
  94. Tue Apr 18 22:27:52 2023 reduce to 65650749 relations and 64141128 ideals in 7 passes
  95. Tue Apr 18 22:27:52 2023 max relations containing the same ideal: 87
  96. Tue Apr 18 22:27:58 2023 relations with 0 large ideals: 49964
  97. Tue Apr 18 22:27:58 2023 relations with 1 large ideals: 20871
  98. Tue Apr 18 22:27:58 2023 relations with 2 large ideals: 280665
  99. Tue Apr 18 22:27:58 2023 relations with 3 large ideals: 1810447
  100. Tue Apr 18 22:27:58 2023 relations with 4 large ideals: 6360430
  101. Tue Apr 18 22:27:58 2023 relations with 5 large ideals: 13353819
  102. Tue Apr 18 22:27:58 2023 relations with 6 large ideals: 17518399
  103. Tue Apr 18 22:27:58 2023 relations with 7+ large ideals: 26256154
  104. Tue Apr 18 22:27:58 2023 commencing 2-way merge
  105. Tue Apr 18 22:28:19 2023 reduce to 40278952 relation sets and 38769331 unique ideals
  106. Tue Apr 18 22:28:19 2023 commencing full merge
  107. Tue Apr 18 22:37:10 2023 memory use: 5021.5 MB
  108. Tue Apr 18 22:37:13 2023 found 18518820 cycles, need 18389531
  109. Tue Apr 18 22:37:16 2023 weight of 18389531 cycles is about 2023033010 (110.01/cycle)
  110. Tue Apr 18 22:37:16 2023 distribution of cycle lengths:
  111. Tue Apr 18 22:37:16 2023 1 relations: 1573337
  112. Tue Apr 18 22:37:16 2023 2 relations: 1472370
  113. Tue Apr 18 22:37:16 2023 3 relations: 1450910
  114. Tue Apr 18 22:37:16 2023 4 relations: 1395766
  115. Tue Apr 18 22:37:16 2023 5 relations: 1354459
  116. Tue Apr 18 22:37:16 2023 6 relations: 1304576
  117. Tue Apr 18 22:37:16 2023 7 relations: 1236774
  118. Tue Apr 18 22:37:16 2023 8 relations: 1168757
  119. Tue Apr 18 22:37:16 2023 9 relations: 1080301
  120. Tue Apr 18 22:37:16 2023 10+ relations: 6352281
  121. Tue Apr 18 22:37:16 2023 heaviest cycle: 28 relations
  122. Tue Apr 18 22:37:19 2023 commencing cycle optimization
  123. Tue Apr 18 22:37:42 2023 start with 146537561 relations
  124. Tue Apr 18 22:40:35 2023 pruned 5282263 relations
  125. Tue Apr 18 22:40:36 2023 memory use: 4185.9 MB
  126. Tue Apr 18 22:40:36 2023 distribution of cycle lengths:
  127. Tue Apr 18 22:40:36 2023 1 relations: 1573337
  128. Tue Apr 18 22:40:36 2023 2 relations: 1504248
  129. Tue Apr 18 22:40:36 2023 3 relations: 1502946
  130. Tue Apr 18 22:40:36 2023 4 relations: 1442061
  131. Tue Apr 18 22:40:36 2023 5 relations: 1407677
  132. Tue Apr 18 22:40:36 2023 6 relations: 1349757
  133. Tue Apr 18 22:40:36 2023 7 relations: 1284346
  134. Tue Apr 18 22:40:36 2023 8 relations: 1206755
  135. Tue Apr 18 22:40:36 2023 9 relations: 1113402
  136. Tue Apr 18 22:40:36 2023 10+ relations: 6005002
  137. Tue Apr 18 22:40:36 2023 heaviest cycle: 28 relations
  138. Tue Apr 18 22:40:56 2023 RelProcTime: 1949
  139. Tue Apr 18 22:40:56 2023
  140. Tue Apr 18 22:40:56 2023 commencing linear algebra
  141. Tue Apr 18 22:40:56 2023 using VBITS=256
  142. Tue Apr 18 22:40:57 2023 read 18389531 cycles
  143. Tue Apr 18 22:41:19 2023 cycles contain 64691997 unique relations
  144. Tue Apr 18 22:41:53 2023 read 64691997 relations
  145. Tue Apr 18 22:42:02 2023 using 20 quadratic characters above 4294917295
  146. Tue Apr 18 22:42:13 2023 building initial matrix
  147. Tue Apr 18 22:49:24 2023 memory use: 8145.0 MB
  148. Tue Apr 18 22:49:28 2023 read 18389531 cycles
  149. Tue Apr 18 22:49:30 2023 matrix is 18389354 x 18389531 (8058.1 MB) with weight 2320053029 (126.16/col)
  150. Tue Apr 18 22:49:30 2023 sparse part has weight 1910107729 (103.87/col)
  151. Tue Apr 18 22:51:35 2023 filtering completed in 2 passes
  152. Tue Apr 18 22:51:37 2023 matrix is 18387339 x 18387508 (8058.0 MB) with weight 2319981910 (126.17/col)
  153. Tue Apr 18 22:51:37 2023 sparse part has weight 1910083494 (103.88/col)
  154. Tue Apr 18 22:52:02 2023 matrix starts at (0, 0)
  155. Tue Apr 18 22:52:04 2023 matrix is 18387339 x 18387508 (8058.0 MB) with weight 2319981910 (126.17/col)
  156. Tue Apr 18 22:52:04 2023 sparse part has weight 1910083494 (103.88/col)
  157. Tue Apr 18 22:52:04 2023 saving the first 240 matrix rows for later
  158. Tue Apr 18 22:52:05 2023 matrix includes 256 packed rows
  159. Tue Apr 18 22:52:10 2023 matrix is 18387099 x 18387508 (7461.4 MB) with weight 1747789437 (95.05/col)
  160. Tue Apr 18 22:52:10 2023 sparse part has weight 1661751924 (90.37/col)
  161. Tue Apr 18 22:52:10 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  162. Tue Apr 18 22:52:10 2023 selected card has CUDA arch 8.6
  163. Tue Apr 18 22:53:20 2023 commencing Lanczos iteration
  164. Tue Apr 18 22:53:21 2023 memory use: 17377.7 MB
  165. Tue Apr 18 22:54:16 2023 linear algebra at 0.2%, ETA 9h 9m
  166. Tue Apr 18 22:55:39 2023 checking every 30000 dimensions, checkpointing every 2040000 dimensions
  167. Wed Apr 19 07:58:56 2023 lanczos halted after 72042 iterations (dim = 18387099)
  168. Wed Apr 19 07:59:39 2023 recovered 36 nontrivial dependencies
  169. Wed Apr 19 07:59:39 2023 BLanczosTime: 33523
  170. Wed Apr 19 07:59:39 2023
  171. Wed Apr 19 07:59:39 2023 commencing square root phase
  172. Wed Apr 19 07:59:39 2023 handling dependencies 1 to 64
  173. Wed Apr 19 07:59:39 2023 reading relations for dependency 1
  174. Wed Apr 19 07:59:41 2023 read 9196205 cycles
  175. Wed Apr 19 07:59:52 2023 cycles contain 32350402 unique relations
  176. Wed Apr 19 08:00:18 2023 read 32350402 relations
  177. Wed Apr 19 08:01:48 2023 multiplying 32350402 relations
  178. Wed Apr 19 08:09:48 2023 multiply complete, coefficients have about 1100.14 million bits
  179. Wed Apr 19 08:09:50 2023 initial square root is modulo 86113
  180. Wed Apr 19 08:14:27 2023 found factor: 98149491629532646721952432679255311347947098091542529385528749073086252028150965878525740188386825641802293463504465648170576671
  181. Wed Apr 19 08:14:27 2023 reading relations for dependency 2
  182. Wed Apr 19 08:14:29 2023 read 9199627 cycles
  183. Wed Apr 19 08:14:40 2023 cycles contain 32356934 unique relations
  184. Wed Apr 19 08:15:02 2023 read 32356934 relations
  185. Wed Apr 19 08:16:33 2023 multiplying 32356934 relations
  186. Wed Apr 19 08:24:31 2023 multiply complete, coefficients have about 1100.36 million bits
  187. Wed Apr 19 08:24:32 2023 initial square root is modulo 86287
  188. Wed Apr 19 08:29:21 2023 GCD is N, no factor found
  189. Wed Apr 19 08:29:21 2023 reading relations for dependency 3
  190. Wed Apr 19 08:29:23 2023 read 9195900 cycles
  191. Wed Apr 19 08:29:34 2023 cycles contain 32348536 unique relations
  192. Wed Apr 19 08:29:56 2023 read 32348536 relations
  193. Wed Apr 19 08:31:27 2023 multiplying 32348536 relations
  194. Wed Apr 19 08:39:21 2023 multiply complete, coefficients have about 1100.07 million bits
  195. Wed Apr 19 08:39:23 2023 initial square root is modulo 86077
  196. Wed Apr 19 08:44:02 2023 sqrtTime: 2663
  197. Wed Apr 19 08:44:02 2023 p64 factor: 3516925773224049938162590686693080207971737273825914255150768383
  198. Wed Apr 19 08:44:02 2023 p69 factor: 164306730208416323501534391662719698727508551121098714772628798608237
  199. Wed Apr 19 08:44:02 2023 p128 factor: 98149491629532646721952432679255311347947098091542529385528749073086252028150965878525740188386825641802293463504465648170576671
  200. Wed Apr 19 08:44:02 2023 elapsed time 10:35:35
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