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3p2_1686L

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Oct 13th, 2020
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  1. Fri Oct 02 11:49:12 2020
  2. Fri Oct 02 11:49:12 2020
  3. Fri Oct 02 11:49:12 2020 Msieve v. 1.52 (SVN unknown)
  4. Fri Oct 02 11:49:12 2020 random seeds: 9936a520 53cb4d2a
  5. Fri Oct 02 11:49:12 2020 factoring 30137758276307694679069142240860065303142167800259096475936574239920025718951039678907649998139728404010003987232992436734398487825683173535875487814341630269479556080561778168729 (179 digits)
  6. Fri Oct 02 11:49:13 2020 no P-1/P+1/ECM available, skipping
  7. Fri Oct 02 11:49:13 2020 commencing number field sieve (179-digit input)
  8. Fri Oct 02 11:49:13 2020 R0: -18828214665615216249707581339773551
  9. Fri Oct 02 11:49:13 2020 R1: 53580578899462711
  10. Fri Oct 02 11:49:13 2020 A0: 112899252955841113117509053003854127452848
  11. Fri Oct 02 11:49:13 2020 A1: 123875862260523032594542357061305300
  12. Fri Oct 02 11:49:13 2020 A2: -4856191749280717903521840862
  13. Fri Oct 02 11:49:13 2020 A3: -6712533366357855523791
  14. Fri Oct 02 11:49:13 2020 A4: 105728552777520
  15. Fri Oct 02 11:49:13 2020 A5: 12736944
  16. Fri Oct 02 11:49:13 2020 skew 9297356.36, size 1.786e-017, alpha -6.555, combined = 1.018e-013 rroots = 5
  17. Fri Oct 02 11:49:13 2020
  18. Fri Oct 02 11:49:13 2020 commencing relation filtering
  19. Fri Oct 02 11:49:13 2020 setting target matrix density to 120.0
  20. Fri Oct 02 11:49:13 2020 estimated available RAM is 16289.0 MB
  21. Fri Oct 02 11:49:13 2020 commencing duplicate removal, pass 1
  22. Fri Oct 02 11:49:47 2020 error -15 reading relation 3484549
  23. Fri Oct 02 11:50:01 2020 error -9 reading relation 4949400
  24. Fri Oct 02 11:50:02 2020 error -9 reading relation 5117587
  25. Fri Oct 02 11:50:02 2020 error -1 reading relation 5131187
  26. Fri Oct 02 11:50:02 2020 error -15 reading relation 5141708
  27. Fri Oct 02 11:50:03 2020 error -15 reading relation 5241506
  28. Fri Oct 02 12:32:51 2020 error -5 reading relation 274973286
  29. Fri Oct 02 12:32:53 2020 error -15 reading relation 275190347
  30. Fri Oct 02 12:32:53 2020 error -15 reading relation 275192356
  31. Fri Oct 02 12:32:53 2020 error -15 reading relation 275224603
  32. Fri Oct 02 12:32:53 2020 error -9 reading relation 275229785
  33. Fri Oct 02 12:32:57 2020 skipped 7 relations with b > 2^32
  34. Fri Oct 02 12:32:57 2020 found 59771906 hash collisions in 275678722 relations
  35. Fri Oct 02 12:33:42 2020 added 121889 free relations
  36. Fri Oct 02 12:33:42 2020 commencing duplicate removal, pass 2
  37. Fri Oct 02 12:40:42 2020 found 61920413 duplicates and 213880198 unique relations
  38. Fri Oct 02 12:40:42 2020 memory use: 1449.5 MB
  39. Fri Oct 02 12:40:42 2020 reading ideals above 169934848
  40. Fri Oct 02 12:40:42 2020 commencing singleton removal, initial pass
  41. Fri Oct 02 13:18:58 2020 memory use: 5512.0 MB
  42. Fri Oct 02 13:18:58 2020 reading all ideals from disk
  43. Fri Oct 02 13:19:39 2020 memory use: 3848.3 MB
  44. Fri Oct 02 13:19:47 2020 commencing in-memory singleton removal
  45. Fri Oct 02 13:19:55 2020 begin with 213880198 relations and 165674635 unique ideals
  46. Fri Oct 02 13:21:25 2020 reduce to 159669592 relations and 107361054 ideals in 13 passes
  47. Fri Oct 02 13:21:25 2020 max relations containing the same ideal: 49
  48. Fri Oct 02 13:21:37 2020 reading ideals above 720000
  49. Fri Oct 02 13:21:37 2020 commencing singleton removal, initial pass
  50. Fri Oct 02 13:56:50 2020 memory use: 3012.0 MB
  51. Fri Oct 02 13:56:50 2020 reading all ideals from disk
  52. Fri Oct 02 13:58:14 2020 memory use: 6557.2 MB
  53. Fri Oct 02 13:58:32 2020 keeping 125525452 ideals with weight <= 200, target excess is 829406
  54. Fri Oct 02 13:58:51 2020 commencing in-memory singleton removal
  55. Fri Oct 02 13:59:05 2020 begin with 159669592 relations and 125525452 unique ideals
  56. Fri Oct 02 14:00:46 2020 reduce to 159659949 relations and 125515809 ideals in 7 passes
  57. Fri Oct 02 14:00:46 2020 max relations containing the same ideal: 200
  58. Fri Oct 02 14:01:51 2020 removing 9707337 relations and 7707337 ideals in 2000000 cliques
  59. Fri Oct 02 14:01:55 2020 commencing in-memory singleton removal
  60. Fri Oct 02 14:02:07 2020 begin with 149952612 relations and 125515809 unique ideals
  61. Fri Oct 02 14:03:41 2020 reduce to 149473387 relations and 117321437 ideals in 7 passes
  62. Fri Oct 02 14:03:41 2020 max relations containing the same ideal: 199
  63. Fri Oct 02 14:04:43 2020 removing 7530351 relations and 5530351 ideals in 2000000 cliques
  64. Fri Oct 02 14:04:45 2020 commencing in-memory singleton removal
  65. Fri Oct 02 14:04:57 2020 begin with 141943036 relations and 117321437 unique ideals
  66. Fri Oct 02 14:06:24 2020 reduce to 141617698 relations and 111461312 ideals in 7 passes
  67. Fri Oct 02 14:06:24 2020 max relations containing the same ideal: 195
  68. Fri Oct 02 14:07:24 2020 removing 6895244 relations and 4895244 ideals in 2000000 cliques
  69. Fri Oct 02 14:07:27 2020 commencing in-memory singleton removal
  70. Fri Oct 02 14:07:37 2020 begin with 134722454 relations and 111461312 unique ideals
  71. Fri Oct 02 14:08:49 2020 reduce to 134435849 relations and 106275528 ideals in 6 passes
  72. Fri Oct 02 14:08:49 2020 max relations containing the same ideal: 190
  73. Fri Oct 02 14:09:46 2020 removing 6579520 relations and 4579520 ideals in 2000000 cliques
  74. Fri Oct 02 14:09:48 2020 commencing in-memory singleton removal
  75. Fri Oct 02 14:09:59 2020 begin with 127856329 relations and 106275528 unique ideals
  76. Fri Oct 02 14:11:06 2020 reduce to 127586980 relations and 101422954 ideals in 6 passes
  77. Fri Oct 02 14:11:06 2020 max relations containing the same ideal: 182
  78. Fri Oct 02 14:12:00 2020 removing 6386634 relations and 4386634 ideals in 2000000 cliques
  79. Fri Oct 02 14:12:03 2020 commencing in-memory singleton removal
  80. Fri Oct 02 14:12:13 2020 begin with 121200346 relations and 101422954 unique ideals
  81. Fri Oct 02 14:13:16 2020 reduce to 120937981 relations and 96770086 ideals in 6 passes
  82. Fri Oct 02 14:13:16 2020 max relations containing the same ideal: 177
  83. Fri Oct 02 14:14:08 2020 removing 6266755 relations and 4266755 ideals in 2000000 cliques
  84. Fri Oct 02 14:14:11 2020 commencing in-memory singleton removal
  85. Fri Oct 02 14:14:20 2020 begin with 114671226 relations and 96770086 unique ideals
  86. Fri Oct 02 14:15:19 2020 reduce to 114410970 relations and 92239210 ideals in 6 passes
  87. Fri Oct 02 14:15:19 2020 max relations containing the same ideal: 171
  88. Fri Oct 02 14:16:09 2020 removing 6189959 relations and 4189959 ideals in 2000000 cliques
  89. Fri Oct 02 14:16:11 2020 commencing in-memory singleton removal
  90. Fri Oct 02 14:16:20 2020 begin with 108221011 relations and 92239210 unique ideals
  91. Fri Oct 02 14:17:16 2020 reduce to 107956311 relations and 87780243 ideals in 6 passes
  92. Fri Oct 02 14:17:16 2020 max relations containing the same ideal: 164
  93. Fri Oct 02 14:18:03 2020 removing 6137739 relations and 4137739 ideals in 2000000 cliques
  94. Fri Oct 02 14:18:05 2020 commencing in-memory singleton removal
  95. Fri Oct 02 14:18:13 2020 begin with 101818572 relations and 87780243 unique ideals
  96. Fri Oct 02 14:19:14 2020 reduce to 101546211 relations and 83365685 ideals in 7 passes
  97. Fri Oct 02 14:19:14 2020 max relations containing the same ideal: 158
  98. Fri Oct 02 14:19:59 2020 removing 6111835 relations and 4111835 ideals in 2000000 cliques
  99. Fri Oct 02 14:20:01 2020 commencing in-memory singleton removal
  100. Fri Oct 02 14:20:08 2020 begin with 95434376 relations and 83365685 unique ideals
  101. Fri Oct 02 14:21:05 2020 reduce to 95150496 relations and 78965059 ideals in 7 passes
  102. Fri Oct 02 14:21:05 2020 max relations containing the same ideal: 151
  103. Fri Oct 02 14:21:47 2020 removing 6108083 relations and 4108083 ideals in 2000000 cliques
  104. Fri Oct 02 14:21:49 2020 commencing in-memory singleton removal
  105. Fri Oct 02 14:21:56 2020 begin with 89042413 relations and 78965059 unique ideals
  106. Fri Oct 02 14:22:42 2020 reduce to 88742056 relations and 74551134 ideals in 6 passes
  107. Fri Oct 02 14:22:42 2020 max relations containing the same ideal: 149
  108. Fri Oct 02 14:23:21 2020 removing 6118858 relations and 4118858 ideals in 2000000 cliques
  109. Fri Oct 02 14:23:23 2020 commencing in-memory singleton removal
  110. Fri Oct 02 14:23:30 2020 begin with 82623198 relations and 74551134 unique ideals
  111. Fri Oct 02 14:24:25 2020 reduce to 82300426 relations and 70102905 ideals in 8 passes
  112. Fri Oct 02 14:24:25 2020 max relations containing the same ideal: 140
  113. Fri Oct 02 14:25:03 2020 removing 6156631 relations and 4156631 ideals in 2000000 cliques
  114. Fri Oct 02 14:25:05 2020 commencing in-memory singleton removal
  115. Fri Oct 02 14:25:11 2020 begin with 76143795 relations and 70102905 unique ideals
  116. Fri Oct 02 14:25:56 2020 reduce to 75794615 relations and 65589791 ideals in 7 passes
  117. Fri Oct 02 14:25:56 2020 max relations containing the same ideal: 135
  118. Fri Oct 02 14:26:30 2020 removing 6207208 relations and 4207208 ideals in 2000000 cliques
  119. Fri Oct 02 14:26:32 2020 commencing in-memory singleton removal
  120. Fri Oct 02 14:26:37 2020 begin with 69587407 relations and 65589791 unique ideals
  121. Fri Oct 02 14:27:18 2020 reduce to 69201070 relations and 60987559 ideals in 7 passes
  122. Fri Oct 02 14:27:18 2020 max relations containing the same ideal: 123
  123. Fri Oct 02 14:27:49 2020 removing 6284848 relations and 4284848 ideals in 2000000 cliques
  124. Fri Oct 02 14:27:51 2020 commencing in-memory singleton removal
  125. Fri Oct 02 14:27:56 2020 begin with 62916222 relations and 60987559 unique ideals
  126. Fri Oct 02 14:28:32 2020 reduce to 62484609 relations and 56260291 ideals in 7 passes
  127. Fri Oct 02 14:28:32 2020 max relations containing the same ideal: 116
  128. Fri Oct 02 14:29:01 2020 removing 6390281 relations and 4390281 ideals in 2000000 cliques
  129. Fri Oct 02 14:29:03 2020 commencing in-memory singleton removal
  130. Fri Oct 02 14:29:07 2020 begin with 56094328 relations and 56260291 unique ideals
  131. Fri Oct 02 14:29:43 2020 reduce to 55598436 relations and 51360782 ideals in 8 passes
  132. Fri Oct 02 14:29:43 2020 max relations containing the same ideal: 107
  133. Fri Oct 02 14:30:09 2020 removing 6518627 relations and 4518627 ideals in 2000000 cliques
  134. Fri Oct 02 14:30:11 2020 commencing in-memory singleton removal
  135. Fri Oct 02 14:30:15 2020 begin with 49079809 relations and 51360782 unique ideals
  136. Fri Oct 02 14:30:43 2020 reduce to 48493127 relations and 46237541 ideals in 7 passes
  137. Fri Oct 02 14:30:43 2020 max relations containing the same ideal: 97
  138. Fri Oct 02 14:31:06 2020 removing 4705459 relations and 3411984 ideals in 1293475 cliques
  139. Fri Oct 02 14:31:07 2020 commencing in-memory singleton removal
  140. Fri Oct 02 14:31:11 2020 begin with 43787668 relations and 46237541 unique ideals
  141. Fri Oct 02 14:31:35 2020 reduce to 43435864 relations and 42465827 ideals in 7 passes
  142. Fri Oct 02 14:31:35 2020 max relations containing the same ideal: 91
  143. Fri Oct 02 14:32:01 2020 relations with 0 large ideals: 2833
  144. Fri Oct 02 14:32:01 2020 relations with 1 large ideals: 7676
  145. Fri Oct 02 14:32:01 2020 relations with 2 large ideals: 121861
  146. Fri Oct 02 14:32:01 2020 relations with 3 large ideals: 871192
  147. Fri Oct 02 14:32:01 2020 relations with 4 large ideals: 3365149
  148. Fri Oct 02 14:32:01 2020 relations with 5 large ideals: 7809249
  149. Fri Oct 02 14:32:01 2020 relations with 6 large ideals: 11470508
  150. Fri Oct 02 14:32:01 2020 relations with 7+ large ideals: 19787396
  151. Fri Oct 02 14:32:01 2020 commencing 2-way merge
  152. Fri Oct 02 14:32:30 2020 reduce to 28744518 relation sets and 27774481 unique ideals
  153. Fri Oct 02 14:32:30 2020 commencing full merge
  154. Fri Oct 02 14:45:08 2020 memory use: 3583.5 MB
  155. Fri Oct 02 14:45:14 2020 found 13064922 cycles, need 12984681
  156. Fri Oct 02 14:45:15 2020 weight of 12984681 cycles is about 1558349530 (120.01/cycle)
  157. Fri Oct 02 14:45:15 2020 distribution of cycle lengths:
  158. Fri Oct 02 14:45:15 2020 1 relations: 644334
  159. Fri Oct 02 14:45:15 2020 2 relations: 879673
  160. Fri Oct 02 14:45:15 2020 3 relations: 983915
  161. Fri Oct 02 14:45:15 2020 4 relations: 997429
  162. Fri Oct 02 14:45:15 2020 5 relations: 1017072
  163. Fri Oct 02 14:45:15 2020 6 relations: 995648
  164. Fri Oct 02 14:45:15 2020 7 relations: 978041
  165. Fri Oct 02 14:45:15 2020 8 relations: 921762
  166. Fri Oct 02 14:45:15 2020 9 relations: 861130
  167. Fri Oct 02 14:45:15 2020 10+ relations: 4705677
  168. Fri Oct 02 14:45:15 2020 heaviest cycle: 28 relations
  169. Fri Oct 02 14:45:32 2020 commencing cycle optimization
  170. Fri Oct 02 14:45:55 2020 start with 107901406 relations
  171. Fri Oct 02 14:50:56 2020 pruned 5172915 relations
  172. Fri Oct 02 14:50:56 2020 memory use: 2905.0 MB
  173. Fri Oct 02 14:50:56 2020 distribution of cycle lengths:
  174. Fri Oct 02 14:50:56 2020 1 relations: 644334
  175. Fri Oct 02 14:50:56 2020 2 relations: 904603
  176. Fri Oct 02 14:50:56 2020 3 relations: 1030522
  177. Fri Oct 02 14:50:56 2020 4 relations: 1042429
  178. Fri Oct 02 14:50:56 2020 5 relations: 1070604
  179. Fri Oct 02 14:50:56 2020 6 relations: 1048444
  180. Fri Oct 02 14:50:56 2020 7 relations: 1031072
  181. Fri Oct 02 14:50:56 2020 8 relations: 967904
  182. Fri Oct 02 14:50:56 2020 9 relations: 899547
  183. Fri Oct 02 14:50:56 2020 10+ relations: 4345222
  184. Fri Oct 02 14:50:56 2020 heaviest cycle: 28 relations
  185. Fri Oct 02 14:51:25 2020 RelProcTime: 10932
  186. Fri Oct 02 14:51:25 2020
  187. Fri Oct 02 14:51:25 2020 commencing linear algebra
  188. Fri Oct 02 14:51:29 2020 read 12984681 cycles
  189. Fri Oct 02 14:51:53 2020 cycles contain 42873424 unique relations
  190. Fri Oct 02 15:03:30 2020 read 42873424 relations
  191. Fri Oct 02 15:04:50 2020 using 20 quadratic characters above 2147483124
  192. Fri Oct 02 15:07:44 2020 building initial matrix
  193. Fri Oct 02 15:17:31 2020 memory use: 5981.9 MB
  194. Fri Oct 02 15:19:03 2020 read 12984681 cycles
  195. Fri Oct 02 15:19:08 2020 matrix is 12984501 x 12984681 (6113.1 MB) with weight 1844572257 (142.06/col)
  196. Fri Oct 02 15:19:08 2020 sparse part has weight 1446687329 (111.41/col)
  197. Fri Oct 02 15:21:57 2020 filtering completed in 2 passes
  198. Fri Oct 02 15:22:02 2020 matrix is 12984096 x 12984276 (6113.0 MB) with weight 1844552980 (142.06/col)
  199. Fri Oct 02 15:22:02 2020 sparse part has weight 1446681036 (111.42/col)
  200. Fri Oct 02 15:23:52 2020 matrix starts at (0, 0)
  201. Fri Oct 02 15:23:57 2020 matrix is 12984096 x 12984276 (6113.0 MB) with weight 1844552980 (142.06/col)
  202. Fri Oct 02 15:23:57 2020 sparse part has weight 1446681036 (111.42/col)
  203. Fri Oct 02 15:23:57 2020 saving the first 48 matrix rows for later
  204. Fri Oct 02 15:24:01 2020 matrix includes 64 packed rows
  205. Fri Oct 02 15:24:04 2020 matrix is 12984048 x 12984276 (5939.3 MB) with weight 1585205213 (122.09/col)
  206. Fri Oct 02 15:24:04 2020 sparse part has weight 1427113103 (109.91/col)
  207. Fri Oct 02 15:24:04 2020 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  208. Fri Oct 02 15:25:25 2020 commencing Lanczos iteration (8 threads)
  209. Fri Oct 02 15:25:25 2020 memory use: 5012.1 MB
  210. Fri Oct 02 15:27:20 2020 linear algebra at 0.0%, ETA 260h59m
  211. Fri Oct 02 15:27:56 2020 checkpointing every 50000 dimensions
  212. Tue Oct 13 11:11:16 2020 lanczos halted after 205341 iterations (dim = 12984048)
  213. Tue Oct 13 11:11:30 2020 recovered 32 nontrivial dependencies
  214. Tue Oct 13 11:11:40 2020 BLanczosTime: 937215
  215. Tue Oct 13 11:11:40 2020
  216. Tue Oct 13 11:11:40 2020 commencing square root phase
  217. Tue Oct 13 11:11:40 2020 handling dependencies 1 to 64
  218. Tue Oct 13 11:11:40 2020 reading relations for dependency 1
  219. Tue Oct 13 11:11:44 2020 read 6492606 cycles
  220. Tue Oct 13 11:11:55 2020 cycles contain 21441152 unique relations
  221. Tue Oct 13 11:19:06 2020 read 21441152 relations
  222. Tue Oct 13 11:21:04 2020 multiplying 21441152 relations
  223. Tue Oct 13 11:57:02 2020 multiply complete, coefficients have about 1328.37 million bits
  224. Tue Oct 13 11:57:17 2020 initial square root is modulo 909319
  225. Tue Oct 13 12:41:56 2020 sqrtTime: 5416
  226. Tue Oct 13 12:41:56 2020 prp85 factor: 7733961215190182800111443172129093940119104012591035433912855778239413875374875085001
  227. Tue Oct 13 12:41:56 2020 prp94 factor: 3896807526926108189967563342663068559701240927558080850898811788549354459116422907825586203729
  228. Tue Oct 13 12:41:56 2020 elapsed time 264:52:44
  229.  
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