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Msieve log of 7p3_304

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Jul 22nd, 2020
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  1. Sun Jul 12 15:06:26 2020
  2. Sun Jul 12 15:06:26 2020
  3. Sun Jul 12 15:06:26 2020 Msieve v. 1.52 (SVN unknown)
  4. Sun Jul 12 15:06:26 2020 random seeds: 6b3c9330 703e9b69
  5. Sun Jul 12 15:06:26 2020 factoring 2954955945102086240735753883768483693179996102822191398515951814658448947648777048974734617666324881972273504459200230302301868715652650030338231412269114617792512153656427873889 (178 digits)
  6. Sun Jul 12 15:06:27 2020 no P-1/P+1/ECM available, skipping
  7. Sun Jul 12 15:06:27 2020 commencing number field sieve (178-digit input)
  8. Sun Jul 12 15:06:27 2020 R0: 12589255298531885026341962383987545444758743
  9. Sun Jul 12 15:06:27 2020 R1: -2153693963075557766310747
  10. Sun Jul 12 15:06:27 2020 A0: 49
  11. Sun Jul 12 15:06:27 2020 A1: 0
  12. Sun Jul 12 15:06:27 2020 A2: 0
  13. Sun Jul 12 15:06:27 2020 A3: 0
  14. Sun Jul 12 15:06:27 2020 A4: 0
  15. Sun Jul 12 15:06:27 2020 A5: 0
  16. Sun Jul 12 15:06:27 2020 A6: 9
  17. Sun Jul 12 15:06:27 2020 skew 1.33, size 7.680e-013, alpha 0.313, combined = 9.634e-014 rroots = 0
  18. Sun Jul 12 15:06:27 2020
  19. Sun Jul 12 15:06:27 2020 commencing relation filtering
  20. Sun Jul 12 15:06:27 2020 setting target matrix density to 120.0
  21. Sun Jul 12 15:06:27 2020 estimated available RAM is 16316.6 MB
  22. Sun Jul 12 15:06:27 2020 commencing duplicate removal, pass 1
  23. Sun Jul 12 15:06:37 2020 error -9 reading relation 911627
  24. Sun Jul 12 15:06:37 2020 error -15 reading relation 917120
  25. Sun Jul 12 15:06:39 2020 error -15 reading relation 1106181
  26. Sun Jul 12 15:06:44 2020 error -1 reading relation 1457287
  27. Sun Jul 12 15:06:44 2020 error -1 reading relation 1457288
  28. Sun Jul 12 15:06:44 2020 error -1 reading relation 1457289
  29. Sun Jul 12 15:06:44 2020 error -1 reading relation 1457290
  30. Sun Jul 12 15:06:44 2020 error -1 reading relation 1457291
  31. Sun Jul 12 15:06:44 2020 error -1 reading relation 1457292
  32. Sun Jul 12 15:46:54 2020 error -15 reading relation 271516721
  33. Sun Jul 12 15:46:54 2020 error -9 reading relation 271520951
  34. Sun Jul 12 15:46:54 2020 error -9 reading relation 271531694
  35. Sun Jul 12 15:46:54 2020 error -15 reading relation 271571387
  36. Sun Jul 12 15:46:54 2020 error -9 reading relation 271580183
  37. Sun Jul 12 15:46:54 2020 error -9 reading relation 271583181
  38. Sun Jul 12 15:46:55 2020 error -15 reading relation 271615522
  39. Sun Jul 12 15:46:55 2020 error -9 reading relation 271673229
  40. Sun Jul 12 15:46:55 2020 error -9 reading relation 271708993
  41. Sun Jul 12 15:46:57 2020 error -9 reading relation 271919822
  42. Sun Jul 12 15:47:29 2020 skipped 346 relations with b > 2^32
  43. Sun Jul 12 15:47:29 2020 found 63577304 hash collisions in 273312703 relations
  44. Sun Jul 12 15:47:48 2020 commencing duplicate removal, pass 2
  45. Sun Jul 12 15:55:34 2020 found 68758319 duplicates and 204554384 unique relations
  46. Sun Jul 12 15:55:34 2020 memory use: 1449.5 MB
  47. Sun Jul 12 15:55:35 2020 reading ideals above 154992640
  48. Sun Jul 12 15:55:35 2020 commencing singleton removal, initial pass
  49. Sun Jul 12 16:30:18 2020 memory use: 5512.0 MB
  50. Sun Jul 12 16:30:18 2020 reading all ideals from disk
  51. Sun Jul 12 16:31:01 2020 memory use: 3647.1 MB
  52. Sun Jul 12 16:31:08 2020 commencing in-memory singleton removal
  53. Sun Jul 12 16:31:15 2020 begin with 204554384 relations and 165286184 unique ideals
  54. Sun Jul 12 16:32:37 2020 reduce to 144117593 relations and 99581317 ideals in 13 passes
  55. Sun Jul 12 16:32:37 2020 max relations containing the same ideal: 36
  56. Sun Jul 12 16:32:47 2020 reading ideals above 720000
  57. Sun Jul 12 16:32:47 2020 commencing singleton removal, initial pass
  58. Sun Jul 12 17:03:20 2020 memory use: 3012.0 MB
  59. Sun Jul 12 17:03:20 2020 reading all ideals from disk
  60. Sun Jul 12 17:04:34 2020 memory use: 5903.7 MB
  61. Sun Jul 12 17:04:49 2020 keeping 116237560 ideals with weight <= 200, target excess is 761423
  62. Sun Jul 12 17:05:06 2020 commencing in-memory singleton removal
  63. Sun Jul 12 17:05:18 2020 begin with 144117593 relations and 116237560 unique ideals
  64. Sun Jul 12 17:06:35 2020 reduce to 144115919 relations and 116235886 ideals in 6 passes
  65. Sun Jul 12 17:06:35 2020 max relations containing the same ideal: 200
  66. Sun Jul 12 17:07:38 2020 removing 10518306 relations and 8518306 ideals in 2000000 cliques
  67. Sun Jul 12 17:07:41 2020 commencing in-memory singleton removal
  68. Sun Jul 12 17:07:52 2020 begin with 133597613 relations and 116235886 unique ideals
  69. Sun Jul 12 17:10:02 2020 reduce to 132981096 relations and 107090045 ideals in 11 passes
  70. Sun Jul 12 17:10:02 2020 max relations containing the same ideal: 198
  71. Sun Jul 12 17:11:00 2020 removing 8098003 relations and 6098003 ideals in 2000000 cliques
  72. Sun Jul 12 17:11:03 2020 commencing in-memory singleton removal
  73. Sun Jul 12 17:11:13 2020 begin with 124883093 relations and 107090045 unique ideals
  74. Sun Jul 12 17:12:30 2020 reduce to 124469798 relations and 100572320 ideals in 7 passes
  75. Sun Jul 12 17:12:30 2020 max relations containing the same ideal: 195
  76. Sun Jul 12 17:13:25 2020 removing 7380641 relations and 5380641 ideals in 2000000 cliques
  77. Sun Jul 12 17:13:28 2020 commencing in-memory singleton removal
  78. Sun Jul 12 17:13:37 2020 begin with 117089157 relations and 100572320 unique ideals
  79. Sun Jul 12 17:14:50 2020 reduce to 116723941 relations and 94820689 ideals in 7 passes
  80. Sun Jul 12 17:14:50 2020 max relations containing the same ideal: 185
  81. Sun Jul 12 17:15:41 2020 removing 7021350 relations and 5021350 ideals in 2000000 cliques
  82. Sun Jul 12 17:15:43 2020 commencing in-memory singleton removal
  83. Sun Jul 12 17:15:52 2020 begin with 109702591 relations and 94820689 unique ideals
  84. Sun Jul 12 17:17:00 2020 reduce to 109357881 relations and 89449098 ideals in 7 passes
  85. Sun Jul 12 17:17:00 2020 max relations containing the same ideal: 178
  86. Sun Jul 12 17:17:48 2020 removing 6806433 relations and 4806433 ideals in 2000000 cliques
  87. Sun Jul 12 17:17:51 2020 commencing in-memory singleton removal
  88. Sun Jul 12 17:17:59 2020 begin with 102551448 relations and 89449098 unique ideals
  89. Sun Jul 12 17:19:02 2020 reduce to 102212076 relations and 84297627 ideals in 7 passes
  90. Sun Jul 12 17:19:02 2020 max relations containing the same ideal: 170
  91. Sun Jul 12 17:19:47 2020 removing 6671628 relations and 4671628 ideals in 2000000 cliques
  92. Sun Jul 12 17:19:49 2020 commencing in-memory singleton removal
  93. Sun Jul 12 17:19:57 2020 begin with 95540448 relations and 84297627 unique ideals
  94. Sun Jul 12 17:20:55 2020 reduce to 95200075 relations and 79279560 ideals in 7 passes
  95. Sun Jul 12 17:20:55 2020 max relations containing the same ideal: 161
  96. Sun Jul 12 17:21:38 2020 removing 6582851 relations and 4582851 ideals in 2000000 cliques
  97. Sun Jul 12 17:21:40 2020 commencing in-memory singleton removal
  98. Sun Jul 12 17:21:47 2020 begin with 88617224 relations and 79279560 unique ideals
  99. Sun Jul 12 17:22:40 2020 reduce to 88267116 relations and 74340067 ideals in 7 passes
  100. Sun Jul 12 17:22:40 2020 max relations containing the same ideal: 155
  101. Sun Jul 12 17:23:20 2020 removing 6529795 relations and 4529795 ideals in 2000000 cliques
  102. Sun Jul 12 17:23:22 2020 commencing in-memory singleton removal
  103. Sun Jul 12 17:23:28 2020 begin with 81737321 relations and 74340067 unique ideals
  104. Sun Jul 12 17:24:16 2020 reduce to 81371273 relations and 69437010 ideals in 7 passes
  105. Sun Jul 12 17:24:16 2020 max relations containing the same ideal: 146
  106. Sun Jul 12 17:24:53 2020 removing 6507238 relations and 4507238 ideals in 2000000 cliques
  107. Sun Jul 12 17:24:55 2020 commencing in-memory singleton removal
  108. Sun Jul 12 17:25:01 2020 begin with 74864035 relations and 69437010 unique ideals
  109. Sun Jul 12 17:25:45 2020 reduce to 74473826 relations and 64531196 ideals in 7 passes
  110. Sun Jul 12 17:25:45 2020 max relations containing the same ideal: 138
  111. Sun Jul 12 17:26:19 2020 removing 6512343 relations and 4512343 ideals in 2000000 cliques
  112. Sun Jul 12 17:26:21 2020 commencing in-memory singleton removal
  113. Sun Jul 12 17:26:26 2020 begin with 67961483 relations and 64531196 unique ideals
  114. Sun Jul 12 17:27:06 2020 reduce to 67539042 relations and 59586800 ideals in 7 passes
  115. Sun Jul 12 17:27:06 2020 max relations containing the same ideal: 130
  116. Sun Jul 12 17:27:37 2020 removing 6534104 relations and 4534104 ideals in 2000000 cliques
  117. Sun Jul 12 17:27:39 2020 commencing in-memory singleton removal
  118. Sun Jul 12 17:27:44 2020 begin with 61004938 relations and 59586800 unique ideals
  119. Sun Jul 12 17:28:24 2020 reduce to 60539171 relations and 54575143 ideals in 8 passes
  120. Sun Jul 12 17:28:24 2020 max relations containing the same ideal: 121
  121. Sun Jul 12 17:28:53 2020 removing 6586772 relations and 4586772 ideals in 2000000 cliques
  122. Sun Jul 12 17:28:54 2020 commencing in-memory singleton removal
  123. Sun Jul 12 17:28:59 2020 begin with 53952399 relations and 54575143 unique ideals
  124. Sun Jul 12 17:29:30 2020 reduce to 53426821 relations and 49447904 ideals in 7 passes
  125. Sun Jul 12 17:29:30 2020 max relations containing the same ideal: 112
  126. Sun Jul 12 17:29:55 2020 removing 6657069 relations and 4657069 ideals in 2000000 cliques
  127. Sun Jul 12 17:29:56 2020 commencing in-memory singleton removal
  128. Sun Jul 12 17:30:00 2020 begin with 46769752 relations and 49447904 unique ideals
  129. Sun Jul 12 17:30:30 2020 reduce to 46155286 relations and 44157134 ideals in 8 passes
  130. Sun Jul 12 17:30:30 2020 max relations containing the same ideal: 100
  131. Sun Jul 12 17:30:52 2020 removing 4232863 relations and 3117962 ideals in 1114901 cliques
  132. Sun Jul 12 17:30:54 2020 commencing in-memory singleton removal
  133. Sun Jul 12 17:30:57 2020 begin with 41922423 relations and 44157134 unique ideals
  134. Sun Jul 12 17:31:20 2020 reduce to 41637215 relations and 40748083 ideals in 7 passes
  135. Sun Jul 12 17:31:20 2020 max relations containing the same ideal: 93
  136. Sun Jul 12 17:31:46 2020 relations with 0 large ideals: 28832
  137. Sun Jul 12 17:31:46 2020 relations with 1 large ideals: 8535
  138. Sun Jul 12 17:31:46 2020 relations with 2 large ideals: 107548
  139. Sun Jul 12 17:31:46 2020 relations with 3 large ideals: 766343
  140. Sun Jul 12 17:31:46 2020 relations with 4 large ideals: 3003584
  141. Sun Jul 12 17:31:46 2020 relations with 5 large ideals: 7077974
  142. Sun Jul 12 17:31:46 2020 relations with 6 large ideals: 10557349
  143. Sun Jul 12 17:31:46 2020 relations with 7+ large ideals: 20087050
  144. Sun Jul 12 17:31:46 2020 commencing 2-way merge
  145. Sun Jul 12 17:32:12 2020 reduce to 27471109 relation sets and 26581977 unique ideals
  146. Sun Jul 12 17:32:12 2020 commencing full merge
  147. Sun Jul 12 17:44:58 2020 memory use: 3606.1 MB
  148. Sun Jul 12 17:45:01 2020 found 12441965 cycles, need 12398177
  149. Sun Jul 12 17:45:02 2020 weight of 12398177 cycles is about 1488261065 (120.04/cycle)
  150. Sun Jul 12 17:45:02 2020 distribution of cycle lengths:
  151. Sun Jul 12 17:45:02 2020 1 relations: 602047
  152. Sun Jul 12 17:45:02 2020 2 relations: 774388
  153. Sun Jul 12 17:45:02 2020 3 relations: 887078
  154. Sun Jul 12 17:45:02 2020 4 relations: 907045
  155. Sun Jul 12 17:45:02 2020 5 relations: 927668
  156. Sun Jul 12 17:45:02 2020 6 relations: 914840
  157. Sun Jul 12 17:45:02 2020 7 relations: 898209
  158. Sun Jul 12 17:45:02 2020 8 relations: 855533
  159. Sun Jul 12 17:45:02 2020 9 relations: 803188
  160. Sun Jul 12 17:45:02 2020 10+ relations: 4828181
  161. Sun Jul 12 17:45:02 2020 heaviest cycle: 28 relations
  162. Sun Jul 12 17:45:04 2020 commencing cycle optimization
  163. Sun Jul 12 17:45:26 2020 start with 107944610 relations
  164. Sun Jul 12 17:50:42 2020 pruned 5105537 relations
  165. Sun Jul 12 17:50:42 2020 memory use: 2836.1 MB
  166. Sun Jul 12 17:50:42 2020 distribution of cycle lengths:
  167. Sun Jul 12 17:50:42 2020 1 relations: 602047
  168. Sun Jul 12 17:50:42 2020 2 relations: 793634
  169. Sun Jul 12 17:50:42 2020 3 relations: 924838
  170. Sun Jul 12 17:50:42 2020 4 relations: 944840
  171. Sun Jul 12 17:50:42 2020 5 relations: 975128
  172. Sun Jul 12 17:50:42 2020 6 relations: 961276
  173. Sun Jul 12 17:50:42 2020 7 relations: 946448
  174. Sun Jul 12 17:50:42 2020 8 relations: 897617
  175. Sun Jul 12 17:50:42 2020 9 relations: 842604
  176. Sun Jul 12 17:50:42 2020 10+ relations: 4509745
  177. Sun Jul 12 17:50:42 2020 heaviest cycle: 28 relations
  178. Sun Jul 12 17:51:14 2020 RelProcTime: 9887
  179. Sun Jul 12 17:51:14 2020
  180. Sun Jul 12 17:51:14 2020 commencing linear algebra
  181. Sun Jul 12 17:51:17 2020 read 12398177 cycles
  182. Sun Jul 12 17:51:42 2020 cycles contain 41128763 unique relations
  183. Sun Jul 12 17:59:53 2020 read 41128763 relations
  184. Sun Jul 12 18:01:12 2020 using 20 quadratic characters above 2147482094
  185. Sun Jul 12 18:04:03 2020 building initial matrix
  186. Sun Jul 12 18:13:04 2020 memory use: 5357.3 MB
  187. Sun Jul 12 18:13:25 2020 read 12398177 cycles
  188. Sun Jul 12 18:13:29 2020 matrix is 12397999 x 12398177 (5851.2 MB) with weight 1680935935 (135.58/col)
  189. Sun Jul 12 18:13:29 2020 sparse part has weight 1397464170 (112.72/col)
  190. Sun Jul 12 18:16:11 2020 filtering completed in 2 passes
  191. Sun Jul 12 18:16:15 2020 matrix is 12397797 x 12397975 (5851.1 MB) with weight 1680928479 (135.58/col)
  192. Sun Jul 12 18:16:15 2020 sparse part has weight 1397461365 (112.72/col)
  193. Sun Jul 12 18:18:07 2020 matrix starts at (0, 0)
  194. Sun Jul 12 18:18:11 2020 matrix is 12397797 x 12397975 (5851.1 MB) with weight 1680928479 (135.58/col)
  195. Sun Jul 12 18:18:11 2020 sparse part has weight 1397461365 (112.72/col)
  196. Sun Jul 12 18:18:11 2020 saving the first 48 matrix rows for later
  197. Sun Jul 12 18:18:15 2020 matrix includes 64 packed rows
  198. Sun Jul 12 18:18:17 2020 matrix is 12397749 x 12397975 (5605.3 MB) with weight 1454084687 (117.28/col)
  199. Sun Jul 12 18:18:17 2020 sparse part has weight 1345403690 (108.52/col)
  200. Sun Jul 12 18:18:17 2020 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  201. Sun Jul 12 18:19:28 2020 commencing Lanczos iteration (8 threads)
  202. Sun Jul 12 18:19:28 2020 memory use: 4796.4 MB
  203. Sun Jul 12 18:21:13 2020 linear algebra at 0.0%, ETA 228h39m
  204. Sun Jul 12 18:21:47 2020 checkpointing every 60000 dimensions
  205. Wed Jul 22 06:38:36 2020 lanczos halted after 196059 iterations (dim = 12397748)
  206. Wed Jul 22 06:39:11 2020 recovered 41 nontrivial dependencies
  207. Wed Jul 22 06:39:26 2020 BLanczosTime: 823692
  208. Wed Jul 22 06:39:26 2020
  209. Wed Jul 22 06:39:26 2020 commencing square root phase
  210. Wed Jul 22 06:39:26 2020 handling dependencies 1 to 64
  211. Wed Jul 22 06:39:26 2020 reading relations for dependency 1
  212. Wed Jul 22 06:39:28 2020 read 6199475 cycles
  213. Wed Jul 22 06:39:41 2020 cycles contain 20567460 unique relations
  214. Wed Jul 22 06:47:24 2020 read 20567460 relations
  215. Wed Jul 22 06:49:14 2020 multiplying 20567460 relations
  216. Wed Jul 22 07:10:22 2020 multiply complete, coefficients have about 602.56 million bits
  217. Wed Jul 22 07:10:29 2020 initial square root is modulo 254791
  218. Wed Jul 22 07:34:40 2020 GCD is N, no factor found
  219. Wed Jul 22 07:34:40 2020 reading relations for dependency 2
  220. Wed Jul 22 07:34:43 2020 read 6199113 cycles
  221. Wed Jul 22 07:34:55 2020 cycles contain 20562740 unique relations
  222. Wed Jul 22 07:42:23 2020 read 20562740 relations
  223. Wed Jul 22 07:44:11 2020 multiplying 20562740 relations
  224. Wed Jul 22 08:05:14 2020 multiply complete, coefficients have about 602.43 million bits
  225. Wed Jul 22 08:05:21 2020 initial square root is modulo 253987
  226. Wed Jul 22 08:29:19 2020 sqrtTime: 6593
  227. Wed Jul 22 08:29:19 2020 prp85 factor: 5818143916182057309683139546152516532774060186340026495952487531834236260064672686209
  228. Wed Jul 22 08:29:19 2020 prp93 factor: 507886361642488772034418733907385920727883767514978063735806425182557241556582389651211351521
  229. Wed Jul 22 08:29:19 2020 elapsed time 233:22:53
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