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gchilders

786__313_7m1

Feb 27th, 2022
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  1. Sun Feb 27 01:14:43 2022
  2. Sun Feb 27 01:14:43 2022
  3. Sun Feb 27 01:14:43 2022 Msieve v. 1.54 (SVN unknown)
  4. Sun Feb 27 01:14:43 2022 random seeds: 80ffd312 7b0d8624
  5. Sun Feb 27 01:14:43 2022 factoring 108399825305498710165829144766351498254390667519461936093443997269021761634140433480688881974274621184057983161613907918214348537023995141292543554464254196736991570916721837616051004590858271574283946074166071 (210 digits)
  6. Sun Feb 27 01:14:43 2022 no P-1/P+1/ECM available, skipping
  7. Sun Feb 27 01:14:43 2022 commencing number field sieve (210-digit input)
  8. Sun Feb 27 01:14:43 2022 R0: 786539924244310894788466228441457484313
  9. Sun Feb 27 01:14:43 2022 R1: -1
  10. Sun Feb 27 01:14:43 2022 A0: 1
  11. Sun Feb 27 01:14:43 2022 A1: 1
  12. Sun Feb 27 01:14:43 2022 A2: 1
  13. Sun Feb 27 01:14:43 2022 A3: 1
  14. Sun Feb 27 01:14:43 2022 A4: 1
  15. Sun Feb 27 01:14:43 2022 A5: 1
  16. Sun Feb 27 01:14:43 2022 A6: 1
  17. Sun Feb 27 01:14:43 2022 skew 1.00, size 1.499e-11, alpha 2.428, combined = 8.572e-13 rroots = 0
  18. Sun Feb 27 01:14:43 2022
  19. Sun Feb 27 01:14:43 2022 commencing relation filtering
  20. Sun Feb 27 01:14:43 2022 setting target matrix density to 115.0
  21. Sun Feb 27 01:14:43 2022 estimated available RAM is 515600.8 MB
  22. Sun Feb 27 01:14:43 2022 commencing duplicate removal, pass 1
  23. Sun Feb 27 01:16:41 2022 error -9 reading relation 25213104
  24. Sun Feb 27 01:16:42 2022 error -9 reading relation 25345687
  25. Sun Feb 27 01:17:18 2022 error -9 reading relation 33057419
  26. Sun Feb 27 01:18:11 2022 error -9 reading relation 44350320
  27. Sun Feb 27 01:18:30 2022 error -9 reading relation 48231528
  28. Sun Feb 27 01:19:06 2022 error -15 reading relation 55881047
  29. Sun Feb 27 01:19:18 2022 error -9 reading relation 58579120
  30. Sun Feb 27 01:19:31 2022 error -9 reading relation 61205170
  31. Sun Feb 27 01:20:57 2022 error -9 reading relation 79550373
  32. Sun Feb 27 01:21:53 2022 error -9 reading relation 91362346
  33. Sun Feb 27 01:22:07 2022 error -15 reading relation 94465196
  34. Sun Feb 27 01:22:11 2022 error -9 reading relation 95386098
  35. Sun Feb 27 01:22:21 2022 error -9 reading relation 97451302
  36. Sun Feb 27 01:22:40 2022 error -9 reading relation 101433579
  37. Sun Feb 27 01:23:21 2022 skipped 25 relations with b > 2^32
  38. Sun Feb 27 01:23:21 2022 skipped 13 relations with composite factors
  39. Sun Feb 27 01:23:21 2022 found 5282308 hash collisions in 110142313 relations
  40. Sun Feb 27 01:23:27 2022 added 2438534 free relations
  41. Sun Feb 27 01:23:27 2022 commencing duplicate removal, pass 2
  42. Sun Feb 27 01:23:49 2022 found 0 duplicates and 112580847 unique relations
  43. Sun Feb 27 01:23:49 2022 memory use: 378.4 MB
  44. Sun Feb 27 01:23:49 2022 reading ideals above 720000
  45. Sun Feb 27 01:23:49 2022 commencing singleton removal, initial pass
  46. Sun Feb 27 01:33:01 2022 memory use: 2756.0 MB
  47. Sun Feb 27 01:33:01 2022 reading all ideals from disk
  48. Sun Feb 27 01:33:02 2022 memory use: 4278.2 MB
  49. Sun Feb 27 01:33:06 2022 keeping 93770262 ideals with weight <= 200, target excess is 588999
  50. Sun Feb 27 01:33:11 2022 commencing in-memory singleton removal
  51. Sun Feb 27 01:33:14 2022 begin with 112580847 relations and 93770262 unique ideals
  52. Sun Feb 27 01:33:47 2022 reduce to 82555779 relations and 61299474 ideals in 12 passes
  53. Sun Feb 27 01:33:47 2022 max relations containing the same ideal: 173
  54. Sun Feb 27 01:34:04 2022 removing 7767822 relations and 5767822 ideals in 2000000 cliques
  55. Sun Feb 27 01:34:06 2022 commencing in-memory singleton removal
  56. Sun Feb 27 01:34:09 2022 begin with 74787957 relations and 61299474 unique ideals
  57. Sun Feb 27 01:34:25 2022 reduce to 74187035 relations and 54912938 ideals in 7 passes
  58. Sun Feb 27 01:34:25 2022 max relations containing the same ideal: 160
  59. Sun Feb 27 01:34:41 2022 removing 6312007 relations and 4312007 ideals in 2000000 cliques
  60. Sun Feb 27 01:34:43 2022 commencing in-memory singleton removal
  61. Sun Feb 27 01:34:44 2022 begin with 67875028 relations and 54912938 unique ideals
  62. Sun Feb 27 01:34:57 2022 reduce to 67459644 relations and 50174522 ideals in 6 passes
  63. Sun Feb 27 01:34:57 2022 max relations containing the same ideal: 152
  64. Sun Feb 27 01:35:12 2022 removing 5879695 relations and 3879695 ideals in 2000000 cliques
  65. Sun Feb 27 01:35:14 2022 commencing in-memory singleton removal
  66. Sun Feb 27 01:35:15 2022 begin with 61579949 relations and 50174522 unique ideals
  67. Sun Feb 27 01:35:27 2022 reduce to 61214165 relations and 45918837 ideals in 6 passes
  68. Sun Feb 27 01:35:27 2022 max relations containing the same ideal: 144
  69. Sun Feb 27 01:35:40 2022 removing 5653467 relations and 3653467 ideals in 2000000 cliques
  70. Sun Feb 27 01:35:42 2022 commencing in-memory singleton removal
  71. Sun Feb 27 01:35:43 2022 begin with 55560698 relations and 45918837 unique ideals
  72. Sun Feb 27 01:35:53 2022 reduce to 55211096 relations and 41905357 ideals in 6 passes
  73. Sun Feb 27 01:35:53 2022 max relations containing the same ideal: 133
  74. Sun Feb 27 01:36:05 2022 removing 5509224 relations and 3509224 ideals in 2000000 cliques
  75. Sun Feb 27 01:36:07 2022 commencing in-memory singleton removal
  76. Sun Feb 27 01:36:08 2022 begin with 49701872 relations and 41905357 unique ideals
  77. Sun Feb 27 01:36:19 2022 reduce to 49357417 relations and 38040625 ideals in 7 passes
  78. Sun Feb 27 01:36:19 2022 max relations containing the same ideal: 123
  79. Sun Feb 27 01:36:30 2022 removing 5402535 relations and 3402535 ideals in 2000000 cliques
  80. Sun Feb 27 01:36:31 2022 commencing in-memory singleton removal
  81. Sun Feb 27 01:36:33 2022 begin with 43954882 relations and 38040625 unique ideals
  82. Sun Feb 27 01:36:41 2022 reduce to 43601957 relations and 34272708 ideals in 6 passes
  83. Sun Feb 27 01:36:41 2022 max relations containing the same ideal: 118
  84. Sun Feb 27 01:36:50 2022 removing 5328472 relations and 3328472 ideals in 2000000 cliques
  85. Sun Feb 27 01:36:52 2022 commencing in-memory singleton removal
  86. Sun Feb 27 01:36:53 2022 begin with 38273485 relations and 34272708 unique ideals
  87. Sun Feb 27 01:37:01 2022 reduce to 37904258 relations and 30560854 ideals in 7 passes
  88. Sun Feb 27 01:37:01 2022 max relations containing the same ideal: 106
  89. Sun Feb 27 01:37:09 2022 removing 5265796 relations and 3265796 ideals in 2000000 cliques
  90. Sun Feb 27 01:37:11 2022 commencing in-memory singleton removal
  91. Sun Feb 27 01:37:12 2022 begin with 32638462 relations and 30560854 unique ideals
  92. Sun Feb 27 01:37:19 2022 reduce to 32239944 relations and 26879334 ideals in 7 passes
  93. Sun Feb 27 01:37:19 2022 max relations containing the same ideal: 92
  94. Sun Feb 27 01:37:26 2022 removing 5215981 relations and 3215981 ideals in 2000000 cliques
  95. Sun Feb 27 01:37:27 2022 commencing in-memory singleton removal
  96. Sun Feb 27 01:37:28 2022 begin with 27023963 relations and 26879334 unique ideals
  97. Sun Feb 27 01:37:34 2022 reduce to 26571010 relations and 23187031 ideals in 7 passes
  98. Sun Feb 27 01:37:34 2022 max relations containing the same ideal: 82
  99. Sun Feb 27 01:37:40 2022 removing 5186893 relations and 3186893 ideals in 2000000 cliques
  100. Sun Feb 27 01:37:41 2022 commencing in-memory singleton removal
  101. Sun Feb 27 01:37:41 2022 begin with 21384117 relations and 23187031 unique ideals
  102. Sun Feb 27 01:37:46 2022 reduce to 20819282 relations and 19400631 ideals in 7 passes
  103. Sun Feb 27 01:37:46 2022 max relations containing the same ideal: 69
  104. Sun Feb 27 01:37:51 2022 removing 2245224 relations and 1509812 ideals in 735412 cliques
  105. Sun Feb 27 01:37:52 2022 commencing in-memory singleton removal
  106. Sun Feb 27 01:37:52 2022 begin with 18574058 relations and 19400631 unique ideals
  107. Sun Feb 27 01:37:56 2022 reduce to 18367714 relations and 17677741 ideals in 7 passes
  108. Sun Feb 27 01:37:56 2022 max relations containing the same ideal: 63
  109. Sun Feb 27 01:38:02 2022 relations with 0 large ideals: 44023
  110. Sun Feb 27 01:38:02 2022 relations with 1 large ideals: 16710
  111. Sun Feb 27 01:38:02 2022 relations with 2 large ideals: 158094
  112. Sun Feb 27 01:38:02 2022 relations with 3 large ideals: 870461
  113. Sun Feb 27 01:38:02 2022 relations with 4 large ideals: 2555207
  114. Sun Feb 27 01:38:02 2022 relations with 5 large ideals: 4413996
  115. Sun Feb 27 01:38:02 2022 relations with 6 large ideals: 4735114
  116. Sun Feb 27 01:38:02 2022 relations with 7+ large ideals: 5574109
  117. Sun Feb 27 01:38:02 2022 commencing 2-way merge
  118. Sun Feb 27 01:38:08 2022 reduce to 13064066 relation sets and 12374093 unique ideals
  119. Sun Feb 27 01:38:08 2022 commencing full merge
  120. Sun Feb 27 01:41:09 2022 memory use: 1625.5 MB
  121. Sun Feb 27 01:41:10 2022 found 5851723 cycles, need 5802293
  122. Sun Feb 27 01:41:12 2022 weight of 5802293 cycles is about 667646923 (115.07/cycle)
  123. Sun Feb 27 01:41:12 2022 distribution of cycle lengths:
  124. Sun Feb 27 01:41:12 2022 1 relations: 183424
  125. Sun Feb 27 01:41:12 2022 2 relations: 292210
  126. Sun Feb 27 01:41:12 2022 3 relations: 380382
  127. Sun Feb 27 01:41:12 2022 4 relations: 422024
  128. Sun Feb 27 01:41:12 2022 5 relations: 450132
  129. Sun Feb 27 01:41:12 2022 6 relations: 460785
  130. Sun Feb 27 01:41:12 2022 7 relations: 454116
  131. Sun Feb 27 01:41:12 2022 8 relations: 435791
  132. Sun Feb 27 01:41:12 2022 9 relations: 405157
  133. Sun Feb 27 01:41:12 2022 10+ relations: 2318272
  134. Sun Feb 27 01:41:12 2022 heaviest cycle: 28 relations
  135. Sun Feb 27 01:41:13 2022 commencing cycle optimization
  136. Sun Feb 27 01:41:21 2022 start with 51701617 relations
  137. Sun Feb 27 01:42:35 2022 pruned 2846422 relations
  138. Sun Feb 27 01:42:35 2022 memory use: 1295.0 MB
  139. Sun Feb 27 01:42:35 2022 distribution of cycle lengths:
  140. Sun Feb 27 01:42:35 2022 1 relations: 183424
  141. Sun Feb 27 01:42:35 2022 2 relations: 300251
  142. Sun Feb 27 01:42:35 2022 3 relations: 398316
  143. Sun Feb 27 01:42:35 2022 4 relations: 443388
  144. Sun Feb 27 01:42:35 2022 5 relations: 479477
  145. Sun Feb 27 01:42:35 2022 6 relations: 490657
  146. Sun Feb 27 01:42:35 2022 7 relations: 486250
  147. Sun Feb 27 01:42:35 2022 8 relations: 463157
  148. Sun Feb 27 01:42:35 2022 9 relations: 429473
  149. Sun Feb 27 01:42:35 2022 10+ relations: 2127900
  150. Sun Feb 27 01:42:35 2022 heaviest cycle: 28 relations
  151. Sun Feb 27 01:42:41 2022 RelProcTime: 1678
  152. Sun Feb 27 01:42:41 2022
  153. Sun Feb 27 01:42:41 2022 commencing linear algebra
  154. Sun Feb 27 01:42:41 2022 using VBITS=384
  155. Sun Feb 27 01:42:41 2022 read 5802293 cycles
  156. Sun Feb 27 01:42:48 2022 cycles contain 18036456 unique relations
  157. Sun Feb 27 01:43:51 2022 read 18036456 relations
  158. Sun Feb 27 01:44:10 2022 using 20 quadratic characters above 4294917295
  159. Sun Feb 27 01:44:59 2022 building initial matrix
  160. Sun Feb 27 01:47:26 2022 memory use: 2291.2 MB
  161. Sun Feb 27 01:47:28 2022 read 5802293 cycles
  162. Sun Feb 27 01:47:29 2022 matrix is 5802116 x 5802293 (2599.1 MB) with weight 741145573 (127.73/col)
  163. Sun Feb 27 01:47:29 2022 sparse part has weight 617511454 (106.43/col)
  164. Sun Feb 27 01:48:03 2022 filtering completed in 2 passes
  165. Sun Feb 27 01:48:04 2022 matrix is 5801937 x 5802089 (2599.1 MB) with weight 741137975 (127.74/col)
  166. Sun Feb 27 01:48:04 2022 sparse part has weight 617507940 (106.43/col)
  167. Sun Feb 27 01:48:13 2022 matrix starts at (0, 0)
  168. Sun Feb 27 01:48:13 2022 matrix is 5801937 x 5802089 (2599.1 MB) with weight 741137975 (127.74/col)
  169. Sun Feb 27 01:48:13 2022 sparse part has weight 617507940 (106.43/col)
  170. Sun Feb 27 01:48:13 2022 saving the first 368 matrix rows for later
  171. Sun Feb 27 01:48:14 2022 matrix includes 384 packed rows
  172. Sun Feb 27 01:48:16 2022 matrix is 5801569 x 5802089 (2403.7 MB) with weight 543199210 (93.62/col)
  173. Sun Feb 27 01:48:16 2022 sparse part has weight 514061059 (88.60/col)
  174. Sun Feb 27 01:48:17 2022 using GPU 0 (Tesla V100-PCIE-32GB)
  175. Sun Feb 27 01:48:17 2022 selected card has CUDA arch 7.0
  176. Sun Feb 27 01:48:35 2022 commencing Lanczos iteration
  177. Sun Feb 27 01:48:36 2022 memory use: 6091.0 MB
  178. Sun Feb 27 01:48:38 2022 linear algebra at 0.0%, ETA 1h24m
  179. Sun Feb 27 01:48:40 2022 checkpointing every 3800000 dimensions
  180. Sun Feb 27 03:02:26 2022 lanczos halted after 15140 iterations (dim = 5801566)
  181. Sun Feb 27 03:02:53 2022 recovered 37 nontrivial dependencies
  182. Sun Feb 27 03:02:53 2022 BLanczosTime: 4812
  183. Sun Feb 27 03:02:53 2022
  184. Sun Feb 27 03:02:53 2022 commencing square root phase
  185. Sun Feb 27 03:02:53 2022 handling dependencies 1 to 64
  186. Sun Feb 27 03:02:53 2022 reading relations for dependency 1
  187. Sun Feb 27 03:02:53 2022 read 2901612 cycles
  188. Sun Feb 27 03:02:57 2022 cycles contain 9023884 unique relations
  189. Sun Feb 27 03:03:33 2022 read 9023884 relations
  190. Sun Feb 27 03:03:58 2022 multiplying 9023884 relations
  191. Sun Feb 27 03:07:29 2022 multiply complete, coefficients have about 222.06 million bits
  192. Sun Feb 27 03:07:30 2022 initial square root is modulo 93140477
  193. Sun Feb 27 03:11:21 2022 sqrtTime: 508
  194. Sun Feb 27 03:11:21 2022 p59 factor: 62726344562258994907106737871413165766285898830139456777223
  195. Sun Feb 27 03:11:21 2022 p151 factor: 1728138728025296132136766185364838172376036781813424414856075930074583933674895347110527278701882897325757648754129217159623295042539096870498053911377
  196. Sun Feb 27 03:11:21 2022 elapsed time 01:56:38
  197.  
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