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gchilders

8m7_289

Feb 27th, 2022
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  1. Sun Feb 27 01:15:11 2022
  2. Sun Feb 27 01:15:11 2022
  3. Sun Feb 27 01:15:11 2022 Msieve v. 1.54 (SVN unknown)
  4. Sun Feb 27 01:15:11 2022 random seeds: 93f32577 cc1062aa
  5. Sun Feb 27 01:15:11 2022 factoring 320288591141598111017629287623955760958050232962141342194215727116358853977337667736500985415645427314429679932706195592771558751512300977022043372562793225257974936838561105808097225460625400155254223021166554489191820629475019819 (231 digits)
  6. Sun Feb 27 01:15:12 2022 no P-1/P+1/ECM available, skipping
  7. Sun Feb 27 01:15:12 2022 commencing number field sieve (231-digit input)
  8. Sun Feb 27 01:15:12 2022 R0: 22300745198530623141535718272648361505980416
  9. Sun Feb 27 01:15:12 2022 R1: -36703368217294125441230211032033660188801
  10. Sun Feb 27 01:15:12 2022 A0: -7
  11. Sun Feb 27 01:15:12 2022 A1: 0
  12. Sun Feb 27 01:15:12 2022 A2: 0
  13. Sun Feb 27 01:15:12 2022 A3: 0
  14. Sun Feb 27 01:15:12 2022 A4: 0
  15. Sun Feb 27 01:15:12 2022 A5: 0
  16. Sun Feb 27 01:15:12 2022 A6: 8
  17. Sun Feb 27 01:15:12 2022 skew 0.98, size 6.329e-13, alpha 1.653, combined = 8.258e-14 rroots = 2
  18. Sun Feb 27 01:15:12 2022
  19. Sun Feb 27 01:15:12 2022 commencing relation filtering
  20. Sun Feb 27 01:15:12 2022 setting target matrix density to 115.0
  21. Sun Feb 27 01:15:12 2022 estimated available RAM is 515600.8 MB
  22. Sun Feb 27 01:15:12 2022 commencing duplicate removal, pass 1
  23. Sun Feb 27 01:31:15 2022 skipped 905 relations with b > 2^32
  24. Sun Feb 27 01:31:15 2022 skipped 56 relations with composite factors
  25. Sun Feb 27 01:31:15 2022 found 8416287 hash collisions in 195828226 relations
  26. Sun Feb 27 01:31:24 2022 added 1219089 free relations
  27. Sun Feb 27 01:31:24 2022 commencing duplicate removal, pass 2
  28. Sun Feb 27 01:32:03 2022 found 0 duplicates and 197047315 unique relations
  29. Sun Feb 27 01:32:03 2022 memory use: 522.4 MB
  30. Sun Feb 27 01:32:03 2022 reading ideals above 720000
  31. Sun Feb 27 01:32:03 2022 commencing singleton removal, initial pass
  32. Sun Feb 27 01:48:48 2022 memory use: 5512.0 MB
  33. Sun Feb 27 01:48:48 2022 reading all ideals from disk
  34. Sun Feb 27 01:48:49 2022 memory use: 8200.7 MB
  35. Sun Feb 27 01:48:56 2022 keeping 181946160 ideals with weight <= 200, target excess is 1029181
  36. Sun Feb 27 01:49:07 2022 commencing in-memory singleton removal
  37. Sun Feb 27 01:49:12 2022 begin with 197047315 relations and 181946160 unique ideals
  38. Sun Feb 27 01:50:25 2022 reduce to 135707096 relations and 115082203 ideals in 15 passes
  39. Sun Feb 27 01:50:25 2022 max relations containing the same ideal: 169
  40. Sun Feb 27 01:50:55 2022 removing 11253328 relations and 9253328 ideals in 2000000 cliques
  41. Sun Feb 27 01:50:58 2022 commencing in-memory singleton removal
  42. Sun Feb 27 01:51:02 2022 begin with 124453768 relations and 115082203 unique ideals
  43. Sun Feb 27 01:51:40 2022 reduce to 123671854 relations and 105031662 ideals in 9 passes
  44. Sun Feb 27 01:51:40 2022 max relations containing the same ideal: 162
  45. Sun Feb 27 01:52:08 2022 removing 8686489 relations and 6686489 ideals in 2000000 cliques
  46. Sun Feb 27 01:52:11 2022 commencing in-memory singleton removal
  47. Sun Feb 27 01:52:14 2022 begin with 114985365 relations and 105031662 unique ideals
  48. Sun Feb 27 01:52:41 2022 reduce to 114461284 relations and 97812196 ideals in 7 passes
  49. Sun Feb 27 01:52:41 2022 max relations containing the same ideal: 152
  50. Sun Feb 27 01:53:07 2022 removing 7925260 relations and 5925260 ideals in 2000000 cliques
  51. Sun Feb 27 01:53:10 2022 commencing in-memory singleton removal
  52. Sun Feb 27 01:53:13 2022 begin with 106536024 relations and 97812196 unique ideals
  53. Sun Feb 27 01:53:38 2022 reduce to 106065380 relations and 91408365 ideals in 7 passes
  54. Sun Feb 27 01:53:38 2022 max relations containing the same ideal: 144
  55. Sun Feb 27 01:54:02 2022 removing 7554766 relations and 5554766 ideals in 2000000 cliques
  56. Sun Feb 27 01:54:05 2022 commencing in-memory singleton removal
  57. Sun Feb 27 01:54:07 2022 begin with 98510614 relations and 91408365 unique ideals
  58. Sun Feb 27 01:54:30 2022 reduce to 98056866 relations and 85391774 ideals in 7 passes
  59. Sun Feb 27 01:54:30 2022 max relations containing the same ideal: 132
  60. Sun Feb 27 01:54:53 2022 removing 7342631 relations and 5342631 ideals in 2000000 cliques
  61. Sun Feb 27 01:54:56 2022 commencing in-memory singleton removal
  62. Sun Feb 27 01:54:58 2022 begin with 90714235 relations and 85391774 unique ideals
  63. Sun Feb 27 01:55:19 2022 reduce to 90260486 relations and 79587080 ideals in 7 passes
  64. Sun Feb 27 01:55:19 2022 max relations containing the same ideal: 126
  65. Sun Feb 27 01:55:40 2022 removing 7217849 relations and 5217849 ideals in 2000000 cliques
  66. Sun Feb 27 01:55:43 2022 commencing in-memory singleton removal
  67. Sun Feb 27 01:55:45 2022 begin with 83042637 relations and 79587080 unique ideals
  68. Sun Feb 27 01:56:07 2022 reduce to 82575052 relations and 73892422 ideals in 8 passes
  69. Sun Feb 27 01:56:07 2022 max relations containing the same ideal: 119
  70. Sun Feb 27 01:56:27 2022 removing 7148432 relations and 5148432 ideals in 2000000 cliques
  71. Sun Feb 27 01:56:29 2022 commencing in-memory singleton removal
  72. Sun Feb 27 01:56:31 2022 begin with 75426620 relations and 73892422 unique ideals
  73. Sun Feb 27 01:56:48 2022 reduce to 74931556 relations and 68238402 ideals in 7 passes
  74. Sun Feb 27 01:56:48 2022 max relations containing the same ideal: 112
  75. Sun Feb 27 01:57:07 2022 removing 7125872 relations and 5125872 ideals in 2000000 cliques
  76. Sun Feb 27 01:57:09 2022 commencing in-memory singleton removal
  77. Sun Feb 27 01:57:10 2022 begin with 67805684 relations and 68238402 unique ideals
  78. Sun Feb 27 01:57:26 2022 reduce to 67268873 relations and 62563263 ideals in 7 passes
  79. Sun Feb 27 01:57:26 2022 max relations containing the same ideal: 107
  80. Sun Feb 27 01:57:43 2022 removing 7137670 relations and 5137670 ideals in 2000000 cliques
  81. Sun Feb 27 01:57:45 2022 commencing in-memory singleton removal
  82. Sun Feb 27 01:57:46 2022 begin with 60131203 relations and 62563263 unique ideals
  83. Sun Feb 27 01:58:02 2022 reduce to 59533310 relations and 56812400 ideals in 8 passes
  84. Sun Feb 27 01:58:02 2022 max relations containing the same ideal: 97
  85. Sun Feb 27 01:58:17 2022 removing 5790120 relations and 4263060 ideals in 1527060 cliques
  86. Sun Feb 27 01:58:19 2022 commencing in-memory singleton removal
  87. Sun Feb 27 01:58:20 2022 begin with 53743190 relations and 56812400 unique ideals
  88. Sun Feb 27 01:58:32 2022 reduce to 53309643 relations and 52106000 ideals in 7 passes
  89. Sun Feb 27 01:58:32 2022 max relations containing the same ideal: 93
  90. Sun Feb 27 01:58:46 2022 removing 78428 relations and 68635 ideals in 9793 cliques
  91. Sun Feb 27 01:58:47 2022 commencing in-memory singleton removal
  92. Sun Feb 27 01:58:48 2022 begin with 53231215 relations and 52106000 unique ideals
  93. Sun Feb 27 01:58:58 2022 reduce to 53231161 relations and 52037311 ideals in 6 passes
  94. Sun Feb 27 01:58:58 2022 max relations containing the same ideal: 93
  95. Sun Feb 27 01:59:06 2022 relations with 0 large ideals: 39090
  96. Sun Feb 27 01:59:06 2022 relations with 1 large ideals: 11483
  97. Sun Feb 27 01:59:06 2022 relations with 2 large ideals: 159997
  98. Sun Feb 27 01:59:06 2022 relations with 3 large ideals: 1095805
  99. Sun Feb 27 01:59:06 2022 relations with 4 large ideals: 4147067
  100. Sun Feb 27 01:59:06 2022 relations with 5 large ideals: 9495406
  101. Sun Feb 27 01:59:06 2022 relations with 6 large ideals: 13751278
  102. Sun Feb 27 01:59:06 2022 relations with 7+ large ideals: 24531035
  103. Sun Feb 27 01:59:06 2022 commencing 2-way merge
  104. Sun Feb 27 01:59:24 2022 reduce to 35425532 relation sets and 34231682 unique ideals
  105. Sun Feb 27 01:59:24 2022 commencing full merge
  106. Sun Feb 27 02:08:17 2022 memory use: 4563.6 MB
  107. Sun Feb 27 02:08:19 2022 found 16278388 cycles, need 16191882
  108. Sun Feb 27 02:08:23 2022 weight of 16191882 cycles is about 1862565854 (115.03/cycle)
  109. Sun Feb 27 02:08:23 2022 distribution of cycle lengths:
  110. Sun Feb 27 02:08:23 2022 1 relations: 968480
  111. Sun Feb 27 02:08:23 2022 2 relations: 1190048
  112. Sun Feb 27 02:08:23 2022 3 relations: 1290477
  113. Sun Feb 27 02:08:23 2022 4 relations: 1283063
  114. Sun Feb 27 02:08:23 2022 5 relations: 1265941
  115. Sun Feb 27 02:08:23 2022 6 relations: 1224796
  116. Sun Feb 27 02:08:23 2022 7 relations: 1164645
  117. Sun Feb 27 02:08:23 2022 8 relations: 1096961
  118. Sun Feb 27 02:08:23 2022 9 relations: 1013560
  119. Sun Feb 27 02:08:23 2022 10+ relations: 5693911
  120. Sun Feb 27 02:08:23 2022 heaviest cycle: 28 relations
  121. Sun Feb 27 02:08:26 2022 commencing cycle optimization
  122. Sun Feb 27 02:08:47 2022 start with 132186870 relations
  123. Sun Feb 27 02:11:48 2022 pruned 5913575 relations
  124. Sun Feb 27 02:11:48 2022 memory use: 3562.5 MB
  125. Sun Feb 27 02:11:48 2022 distribution of cycle lengths:
  126. Sun Feb 27 02:11:48 2022 1 relations: 968480
  127. Sun Feb 27 02:11:48 2022 2 relations: 1220217
  128. Sun Feb 27 02:11:48 2022 3 relations: 1347566
  129. Sun Feb 27 02:11:48 2022 4 relations: 1336495
  130. Sun Feb 27 02:11:48 2022 5 relations: 1328868
  131. Sun Feb 27 02:11:48 2022 6 relations: 1280132
  132. Sun Feb 27 02:11:48 2022 7 relations: 1221366
  133. Sun Feb 27 02:11:48 2022 8 relations: 1143142
  134. Sun Feb 27 02:11:48 2022 9 relations: 1052664
  135. Sun Feb 27 02:11:48 2022 10+ relations: 5292952
  136. Sun Feb 27 02:11:48 2022 heaviest cycle: 28 relations
  137. Sun Feb 27 02:12:04 2022 RelProcTime: 3412
  138. Sun Feb 27 02:12:04 2022
  139. Sun Feb 27 02:12:04 2022 commencing linear algebra
  140. Sun Feb 27 02:12:04 2022 using VBITS=384
  141. Sun Feb 27 02:12:04 2022 read 16191882 cycles
  142. Sun Feb 27 02:12:25 2022 cycles contain 52554745 unique relations
  143. Sun Feb 27 02:15:25 2022 read 52554745 relations
  144. Sun Feb 27 02:16:31 2022 using 20 quadratic characters above 4294917295
  145. Sun Feb 27 02:18:57 2022 building initial matrix
  146. Sun Feb 27 02:25:55 2022 memory use: 6688.2 MB
  147. Sun Feb 27 02:25:59 2022 read 16191882 cycles
  148. Sun Feb 27 02:26:02 2022 matrix is 16191704 x 16191882 (7263.1 MB) with weight 2059575478 (127.20/col)
  149. Sun Feb 27 02:26:02 2022 sparse part has weight 1742062912 (107.59/col)
  150. Sun Feb 27 02:28:02 2022 filtering completed in 2 passes
  151. Sun Feb 27 02:28:04 2022 matrix is 16191016 x 16191179 (7263.1 MB) with weight 2059552509 (127.20/col)
  152. Sun Feb 27 02:28:04 2022 sparse part has weight 1742054080 (107.59/col)
  153. Sun Feb 27 02:28:30 2022 matrix starts at (0, 0)
  154. Sun Feb 27 02:28:31 2022 matrix is 16191016 x 16191179 (7263.1 MB) with weight 2059552509 (127.20/col)
  155. Sun Feb 27 02:28:31 2022 sparse part has weight 1742054080 (107.59/col)
  156. Sun Feb 27 02:28:31 2022 saving the first 368 matrix rows for later
  157. Sun Feb 27 02:28:33 2022 matrix includes 384 packed rows
  158. Sun Feb 27 02:28:40 2022 matrix is 16190648 x 16191179 (6795.1 MB) with weight 1534302415 (94.76/col)
  159. Sun Feb 27 02:28:40 2022 sparse part has weight 1457469052 (90.02/col)
  160. Sun Feb 27 02:28:40 2022 using GPU 1 (Tesla V100-PCIE-32GB)
  161. Sun Feb 27 02:28:40 2022 selected card has CUDA arch 7.0
  162. Sun Feb 27 02:29:40 2022 commencing Lanczos iteration
  163. Sun Feb 27 02:29:41 2022 memory use: 17172.5 MB
  164. Sun Feb 27 02:29:47 2022 linear algebra at 0.0%, ETA 9h47m
  165. Sun Feb 27 02:29:51 2022 checkpointing every 1690000 dimensions
  166. Sun Feb 27 12:32:10 2022 lanczos halted after 42249 iterations (dim = 16190646)
  167. Sun Feb 27 12:34:22 2022 recovered 35 nontrivial dependencies
  168. Sun Feb 27 12:34:22 2022 BLanczosTime: 37338
  169. Sun Feb 27 12:34:22 2022
  170. Sun Feb 27 12:34:22 2022 commencing square root phase
  171. Sun Feb 27 12:34:22 2022 handling dependencies 1 to 64
  172. Sun Feb 27 12:34:22 2022 reading relations for dependency 1
  173. Sun Feb 27 12:34:24 2022 read 8094755 cycles
  174. Sun Feb 27 12:34:34 2022 cycles contain 26277332 unique relations
  175. Sun Feb 27 12:36:11 2022 read 26277332 relations
  176. Sun Feb 27 12:37:33 2022 multiplying 26277332 relations
  177. Sun Feb 27 12:52:03 2022 multiply complete, coefficients have about 764.43 million bits
  178. Sun Feb 27 12:52:05 2022 initial square root is modulo 7212493
  179. Sun Feb 27 13:07:36 2022 GCD is 1, no factor found
  180. Sun Feb 27 13:07:36 2022 reading relations for dependency 2
  181. Sun Feb 27 13:07:37 2022 read 8093501 cycles
  182. Sun Feb 27 13:07:48 2022 cycles contain 26272128 unique relations
  183. Sun Feb 27 13:09:19 2022 read 26272128 relations
  184. Sun Feb 27 13:10:40 2022 multiplying 26272128 relations
  185. Sun Feb 27 13:25:08 2022 multiply complete, coefficients have about 764.28 million bits
  186. Sun Feb 27 13:25:10 2022 initial square root is modulo 7190311
  187. Sun Feb 27 13:40:49 2022 GCD is 1, no factor found
  188. Sun Feb 27 13:40:49 2022 reading relations for dependency 3
  189. Sun Feb 27 13:40:51 2022 read 8094609 cycles
  190. Sun Feb 27 13:41:01 2022 cycles contain 26275532 unique relations
  191. Sun Feb 27 13:42:39 2022 read 26275532 relations
  192. Sun Feb 27 13:43:59 2022 multiplying 26275532 relations
  193. Sun Feb 27 13:58:27 2022 multiply complete, coefficients have about 764.40 million bits
  194. Sun Feb 27 13:58:28 2022 initial square root is modulo 7207621
  195. Sun Feb 27 14:14:03 2022 GCD is N, no factor found
  196. Sun Feb 27 14:14:03 2022 reading relations for dependency 4
  197. Sun Feb 27 14:14:05 2022 read 8097623 cycles
  198. Sun Feb 27 14:14:15 2022 cycles contain 26285494 unique relations
  199. Sun Feb 27 14:15:46 2022 read 26285494 relations
  200. Sun Feb 27 14:17:05 2022 multiplying 26285494 relations
  201. Sun Feb 27 14:31:31 2022 multiply complete, coefficients have about 764.68 million bits
  202. Sun Feb 27 14:31:33 2022 initial square root is modulo 7250629
  203. Sun Feb 27 14:47:00 2022 sqrtTime: 7958
  204. Sun Feb 27 14:47:00 2022 p56 factor: 38879529782623453988291719106936461825611460410751761407
  205. Sun Feb 27 14:47:00 2022 p175 factor: 8237974917195260453215960605361479946517922016652016618610846399197119301617769554815888037375111717735941011907150680435073364660383603337145299663674854204669237057543413717
  206. Sun Feb 27 14:47:00 2022 elapsed time 13:31:49
  207.  
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