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Msieve log of 10p3_262

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Jun 14th, 2022
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  1. Wed May 25 15:36:52 2022
  2. Wed May 25 15:36:52 2022
  3. Wed May 25 15:36:52 2022 Msieve v. 1.52 (SVN unknown)
  4. Wed May 25 15:36:52 2022 random seeds: 0a89eca0 9407c19f
  5. Wed May 25 15:36:52 2022 factoring 442630200987532780617589648485555485465977080278495060367537180434494788962953910520847785123767155656367666216702871242689848232821251417173993770661734088049355014649573130654367807661292321317 (195 digits)
  6. Wed May 25 15:36:53 2022 no P-1/P+1/ECM available, skipping
  7. Wed May 25 15:36:53 2022 commencing number field sieve (195-digit input)
  8. Wed May 25 15:36:53 2022 R0: 50000000000000000000000000000000000000000000
  9. Wed May 25 15:36:53 2022 R1: -984770902183611232881
  10. Wed May 25 15:36:53 2022 A0: 25
  11. Wed May 25 15:36:53 2022 A1: 0
  12. Wed May 25 15:36:53 2022 A2: 0
  13. Wed May 25 15:36:53 2022 A3: 0
  14. Wed May 25 15:36:53 2022 A4: 0
  15. Wed May 25 15:36:53 2022 A5: 0
  16. Wed May 25 15:36:53 2022 A6: 144
  17. Wed May 25 15:36:53 2022 skew 0.75, size 4.283e-013, alpha -0.359, combined = 6.238e-014 rroots = 0
  18. Wed May 25 15:36:53 2022
  19. Wed May 25 15:36:53 2022 commencing relation filtering
  20. Wed May 25 15:36:53 2022 setting target matrix density to 108.0
  21. Wed May 25 15:36:53 2022 estimated available RAM is 16316.6 MB
  22. Wed May 25 15:36:53 2022 commencing duplicate removal, pass 1
  23. Wed May 25 15:37:38 2022 error -15 reading relation 4872457
  24. Wed May 25 15:37:51 2022 error -9 reading relation 6230119
  25. Wed May 25 15:38:00 2022 error -1 reading relation 7245696
  26. Wed May 25 15:38:02 2022 error -15 reading relation 7388497
  27. Wed May 25 15:38:02 2022 error -9 reading relation 7389255
  28. Wed May 25 15:38:04 2022 error -15 reading relation 7613852
  29. Wed May 25 16:16:39 2022 error -9 reading relation 259552931
  30. Wed May 25 16:16:39 2022 error -15 reading relation 259583144
  31. Wed May 25 16:16:40 2022 error -15 reading relation 259702223
  32. Wed May 25 16:16:40 2022 error -15 reading relation 259711688
  33. Wed May 25 16:16:45 2022 error -1 reading relation 260207032
  34. Wed May 25 16:16:55 2022 skipped 1721 relations with b > 2^32
  35. Wed May 25 16:16:55 2022 found 57882307 hash collisions in 261305612 relations
  36. Wed May 25 16:17:21 2022 added 1218823 free relations
  37. Wed May 25 16:17:21 2022 commencing duplicate removal, pass 2
  38. Wed May 25 16:24:59 2022 found 61292492 duplicates and 201231943 unique relations
  39. Wed May 25 16:24:59 2022 memory use: 1449.5 MB
  40. Wed May 25 16:24:59 2022 reading ideals above 214892544
  41. Wed May 25 16:24:59 2022 commencing singleton removal, initial pass
  42. Wed May 25 16:59:52 2022 memory use: 3012.0 MB
  43. Wed May 25 16:59:52 2022 reading all ideals from disk
  44. Wed May 25 17:00:32 2022 memory use: 3474.5 MB
  45. Wed May 25 17:00:39 2022 commencing in-memory singleton removal
  46. Wed May 25 17:00:46 2022 begin with 201231943 relations and 160708679 unique ideals
  47. Wed May 25 17:02:07 2022 reduce to 141979089 relations and 96351052 ideals in 14 passes
  48. Wed May 25 17:02:07 2022 max relations containing the same ideal: 35
  49. Wed May 25 17:02:17 2022 reading ideals above 720000
  50. Wed May 25 17:02:17 2022 commencing singleton removal, initial pass
  51. Wed May 25 17:33:06 2022 memory use: 3012.0 MB
  52. Wed May 25 17:33:06 2022 reading all ideals from disk
  53. Wed May 25 17:34:18 2022 memory use: 5925.4 MB
  54. Wed May 25 17:34:34 2022 keeping 119326019 ideals with weight <= 200, target excess is 735587
  55. Wed May 25 17:34:51 2022 commencing in-memory singleton removal
  56. Wed May 25 17:35:04 2022 begin with 141979089 relations and 119326019 unique ideals
  57. Wed May 25 17:36:38 2022 reduce to 141976073 relations and 119323003 ideals in 7 passes
  58. Wed May 25 17:36:38 2022 max relations containing the same ideal: 200
  59. Wed May 25 17:37:42 2022 removing 10834065 relations and 8834065 ideals in 2000000 cliques
  60. Wed May 25 17:37:45 2022 commencing in-memory singleton removal
  61. Wed May 25 17:37:57 2022 begin with 131142008 relations and 119323003 unique ideals
  62. Wed May 25 17:39:34 2022 reduce to 130477795 relations and 109812439 ideals in 8 passes
  63. Wed May 25 17:39:34 2022 max relations containing the same ideal: 198
  64. Wed May 25 17:40:33 2022 removing 8368928 relations and 6368928 ideals in 2000000 cliques
  65. Wed May 25 17:40:36 2022 commencing in-memory singleton removal
  66. Wed May 25 17:40:47 2022 begin with 122108867 relations and 109812439 unique ideals
  67. Wed May 25 17:42:17 2022 reduce to 121661847 relations and 102989366 ideals in 8 passes
  68. Wed May 25 17:42:17 2022 max relations containing the same ideal: 190
  69. Wed May 25 17:43:12 2022 removing 7642278 relations and 5642278 ideals in 2000000 cliques
  70. Wed May 25 17:43:15 2022 commencing in-memory singleton removal
  71. Wed May 25 17:43:25 2022 begin with 114019569 relations and 102989366 unique ideals
  72. Wed May 25 17:44:38 2022 reduce to 113619003 relations and 96940089 ideals in 7 passes
  73. Wed May 25 17:44:38 2022 max relations containing the same ideal: 186
  74. Wed May 25 17:45:30 2022 removing 7283307 relations and 5283307 ideals in 2000000 cliques
  75. Wed May 25 17:45:33 2022 commencing in-memory singleton removal
  76. Wed May 25 17:45:42 2022 begin with 106335696 relations and 96940089 unique ideals
  77. Wed May 25 17:46:50 2022 reduce to 105952434 relations and 91267335 ideals in 7 passes
  78. Wed May 25 17:46:50 2022 max relations containing the same ideal: 176
  79. Wed May 25 17:47:39 2022 removing 7069697 relations and 5069697 ideals in 2000000 cliques
  80. Wed May 25 17:47:41 2022 commencing in-memory singleton removal
  81. Wed May 25 17:47:50 2022 begin with 98882737 relations and 91267335 unique ideals
  82. Wed May 25 17:48:53 2022 reduce to 98503041 relations and 85811382 ideals in 7 passes
  83. Wed May 25 17:48:53 2022 max relations containing the same ideal: 166
  84. Wed May 25 17:49:39 2022 removing 6937845 relations and 4937845 ideals in 2000000 cliques
  85. Wed May 25 17:49:41 2022 commencing in-memory singleton removal
  86. Wed May 25 17:49:49 2022 begin with 91565196 relations and 85811382 unique ideals
  87. Wed May 25 17:50:55 2022 reduce to 91178290 relations and 80479779 ideals in 8 passes
  88. Wed May 25 17:50:55 2022 max relations containing the same ideal: 159
  89. Wed May 25 17:51:38 2022 removing 6856025 relations and 4856025 ideals in 2000000 cliques
  90. Wed May 25 17:51:40 2022 commencing in-memory singleton removal
  91. Wed May 25 17:51:47 2022 begin with 84322265 relations and 80479779 unique ideals
  92. Wed May 25 17:52:40 2022 reduce to 83921020 relations and 75214793 ideals in 7 passes
  93. Wed May 25 17:52:40 2022 max relations containing the same ideal: 151
  94. Wed May 25 17:53:20 2022 removing 6815615 relations and 4815615 ideals in 2000000 cliques
  95. Wed May 25 17:53:22 2022 commencing in-memory singleton removal
  96. Wed May 25 17:53:28 2022 begin with 77105405 relations and 75214793 unique ideals
  97. Wed May 25 17:54:16 2022 reduce to 76677774 relations and 69962831 ideals in 7 passes
  98. Wed May 25 17:54:16 2022 max relations containing the same ideal: 140
  99. Wed May 25 17:54:53 2022 removing 6809581 relations and 4809581 ideals in 2000000 cliques
  100. Wed May 25 17:54:55 2022 commencing in-memory singleton removal
  101. Wed May 25 17:55:01 2022 begin with 69868193 relations and 69962831 unique ideals
  102. Wed May 25 17:55:50 2022 reduce to 69406497 relations and 64681117 ideals in 8 passes
  103. Wed May 25 17:55:50 2022 max relations containing the same ideal: 133
  104. Wed May 25 17:56:24 2022 removing 6830525 relations and 4830525 ideals in 2000000 cliques
  105. Wed May 25 17:56:26 2022 commencing in-memory singleton removal
  106. Wed May 25 17:56:31 2022 begin with 62575972 relations and 64681117 unique ideals
  107. Wed May 25 17:57:09 2022 reduce to 62061725 relations and 59323551 ideals in 7 passes
  108. Wed May 25 17:57:09 2022 max relations containing the same ideal: 124
  109. Wed May 25 17:57:40 2022 removing 6560110 relations and 4675217 ideals in 1884893 cliques
  110. Wed May 25 17:57:42 2022 commencing in-memory singleton removal
  111. Wed May 25 17:57:46 2022 begin with 55501615 relations and 59323551 unique ideals
  112. Wed May 25 17:58:25 2022 reduce to 54964544 relations and 54097259 ideals in 8 passes
  113. Wed May 25 17:58:25 2022 max relations containing the same ideal: 115
  114. Wed May 25 17:58:52 2022 removing 105095 relations and 91091 ideals in 14004 cliques
  115. Wed May 25 17:58:53 2022 commencing in-memory singleton removal
  116. Wed May 25 17:58:57 2022 begin with 54859449 relations and 54097259 unique ideals
  117. Wed May 25 17:59:21 2022 reduce to 54859333 relations and 54006052 ideals in 5 passes
  118. Wed May 25 17:59:21 2022 max relations containing the same ideal: 115
  119. Wed May 25 17:59:32 2022 relations with 0 large ideals: 28036
  120. Wed May 25 17:59:32 2022 relations with 1 large ideals: 5406
  121. Wed May 25 17:59:32 2022 relations with 2 large ideals: 70182
  122. Wed May 25 17:59:32 2022 relations with 3 large ideals: 570524
  123. Wed May 25 17:59:32 2022 relations with 4 large ideals: 2572155
  124. Wed May 25 17:59:32 2022 relations with 5 large ideals: 7089761
  125. Wed May 25 17:59:32 2022 relations with 6 large ideals: 12483586
  126. Wed May 25 17:59:32 2022 relations with 7+ large ideals: 32039683
  127. Wed May 25 17:59:32 2022 commencing 2-way merge
  128. Wed May 25 18:00:10 2022 reduce to 37149527 relation sets and 36296246 unique ideals
  129. Wed May 25 18:00:10 2022 commencing full merge
  130. Wed May 25 18:17:06 2022 memory use: 4855.4 MB
  131. Wed May 25 18:17:10 2022 found 17448377 cycles, need 17382446
  132. Wed May 25 18:17:12 2022 weight of 17382446 cycles is about 1877956215 (108.04/cycle)
  133. Wed May 25 18:17:12 2022 distribution of cycle lengths:
  134. Wed May 25 18:17:12 2022 1 relations: 1084296
  135. Wed May 25 18:17:12 2022 2 relations: 1357567
  136. Wed May 25 18:17:12 2022 3 relations: 1486394
  137. Wed May 25 18:17:12 2022 4 relations: 1463237
  138. Wed May 25 18:17:12 2022 5 relations: 1440030
  139. Wed May 25 18:17:12 2022 6 relations: 1388777
  140. Wed May 25 18:17:12 2022 7 relations: 1307173
  141. Wed May 25 18:17:12 2022 8 relations: 1212260
  142. Wed May 25 18:17:12 2022 9 relations: 1103260
  143. Wed May 25 18:17:12 2022 10+ relations: 5539452
  144. Wed May 25 18:17:12 2022 heaviest cycle: 28 relations
  145. Wed May 25 18:17:15 2022 commencing cycle optimization
  146. Wed May 25 18:17:44 2022 start with 134647107 relations
  147. Wed May 25 18:23:52 2022 pruned 5921070 relations
  148. Wed May 25 18:23:52 2022 memory use: 3670.9 MB
  149. Wed May 25 18:23:52 2022 distribution of cycle lengths:
  150. Wed May 25 18:23:52 2022 1 relations: 1084296
  151. Wed May 25 18:23:52 2022 2 relations: 1391492
  152. Wed May 25 18:23:52 2022 3 relations: 1551496
  153. Wed May 25 18:23:52 2022 4 relations: 1524319
  154. Wed May 25 18:23:52 2022 5 relations: 1510640
  155. Wed May 25 18:23:52 2022 6 relations: 1450383
  156. Wed May 25 18:23:52 2022 7 relations: 1368284
  157. Wed May 25 18:23:52 2022 8 relations: 1259008
  158. Wed May 25 18:23:52 2022 9 relations: 1140075
  159. Wed May 25 18:23:52 2022 10+ relations: 5102453
  160. Wed May 25 18:23:52 2022 heaviest cycle: 28 relations
  161. Wed May 25 18:24:54 2022 RelProcTime: 10081
  162. Wed May 25 18:24:54 2022
  163. Wed May 25 18:24:54 2022 commencing linear algebra
  164. Wed May 25 18:24:57 2022 read 17382446 cycles
  165. Wed May 25 18:25:31 2022 cycles contain 54389475 unique relations
  166. Wed May 25 18:34:45 2022 read 54389475 relations
  167. Wed May 25 18:36:28 2022 using 20 quadratic characters above 2147483270
  168. Wed May 25 18:40:15 2022 building initial matrix
  169. Wed May 25 18:51:01 2022 memory use: 6899.7 MB
  170. Wed May 25 18:51:25 2022 read 17382446 cycles
  171. Wed May 25 18:51:30 2022 matrix is 17382269 x 17382446 (7447.5 MB) with weight 2132645831 (122.69/col)
  172. Wed May 25 18:51:30 2022 sparse part has weight 1761114854 (101.32/col)
  173. Wed May 25 18:55:09 2022 filtering completed in 2 passes
  174. Wed May 25 18:55:14 2022 matrix is 17381727 x 17381904 (7447.5 MB) with weight 2132627774 (122.69/col)
  175. Wed May 25 18:55:14 2022 sparse part has weight 1761108432 (101.32/col)
  176. Wed May 25 18:58:21 2022 matrix starts at (0, 0)
  177. Wed May 25 18:58:26 2022 matrix is 17381727 x 17381904 (7447.5 MB) with weight 2132627774 (122.69/col)
  178. Wed May 25 18:58:26 2022 sparse part has weight 1761108432 (101.32/col)
  179. Wed May 25 18:58:26 2022 saving the first 48 matrix rows for later
  180. Wed May 25 18:58:31 2022 matrix includes 64 packed rows
  181. Wed May 25 18:58:34 2022 matrix is 17381679 x 17381904 (7138.4 MB) with weight 1826392250 (105.07/col)
  182. Wed May 25 18:58:34 2022 sparse part has weight 1697469981 (97.66/col)
  183. Wed May 25 18:58:34 2022 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  184. Wed May 25 19:00:14 2022 commencing Lanczos iteration (8 threads)
  185. Wed May 25 19:00:14 2022 memory use: 6125.8 MB
  186. Wed May 25 19:02:47 2022 linear algebra at 0.0%, ETA 465h52m
  187. Wed May 25 19:03:36 2022 checkpointing every 40000 dimensions
  188. Tue Jun 14 08:31:56 2022 lanczos halted after 274867 iterations (dim = 17381679)
  189. Tue Jun 14 08:32:42 2022 recovered 45 nontrivial dependencies
  190. Tue Jun 14 08:33:07 2022 BLanczosTime: 1692493
  191. Tue Jun 14 08:33:07 2022
  192. Tue Jun 14 08:33:07 2022 commencing square root phase
  193. Tue Jun 14 08:33:07 2022 handling dependencies 1 to 64
  194. Tue Jun 14 08:33:07 2022 reading relations for dependency 1
  195. Tue Jun 14 08:33:15 2022 read 8693759 cycles
  196. Tue Jun 14 08:33:30 2022 cycles contain 27194566 unique relations
  197. Tue Jun 14 08:40:58 2022 read 27194566 relations
  198. Tue Jun 14 08:43:34 2022 multiplying 27194566 relations
  199. Tue Jun 14 09:14:18 2022 multiply complete, coefficients have about 903.16 million bits
  200. Tue Jun 14 09:14:28 2022 initial square root is modulo 126664843
  201. Tue Jun 14 09:52:40 2022 sqrtTime: 4773
  202. Tue Jun 14 09:52:40 2022 prp77 factor: 32772340053626272520481875966482174904318218019930167539938033832071623268957
  203. Tue Jun 14 09:52:40 2022 prp119 factor: 13506212869244153105083837415205762174000606243062910648154638970183242130891441402938377727941171957154736078318629481
  204. Tue Jun 14 09:52:40 2022 elapsed time 474:15:48
  205.  
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