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142^120+120^142

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May 21st, 2018
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  1. Tue May 15 12:43:21 2018 Msieve v. 1.53 (SVN unknown)
  2. Tue May 15 12:43:21 2018 random seeds: befc635f 1d1cc084
  3. Tue May 15 12:43:21 2018 factoring 1166551454154509784191145652324187578474854503080078170728449858208872582000622759219595192489341818303969109922370113165361708018451844756244501885783498408012084301689907197757 (178 digits)
  4. Tue May 15 12:43:22 2018 searching for 15-digit factors
  5. Tue May 15 12:43:22 2018 commencing number field sieve (178-digit input)
  6. Tue May 15 12:43:22 2018 R0: 37907050706572935168000000000000000000000000
  7. Tue May 15 12:43:22 2018 R1: -10596610576391421032662867140133202401
  8. Tue May 15 12:43:22 2018 A0: 225
  9. Tue May 15 12:43:22 2018 A1: 0
  10. Tue May 15 12:43:22 2018 A2: 0
  11. Tue May 15 12:43:22 2018 A3: 0
  12. Tue May 15 12:43:22 2018 A4: 0
  13. Tue May 15 12:43:22 2018 A5: 0
  14. Tue May 15 12:43:22 2018 A6: 1
  15. Tue May 15 12:43:22 2018 skew 2.47, size 4.189e-13, alpha 1.979, combined = 6.228e-14 rroots = 0
  16. Tue May 15 12:43:22 2018
  17. Tue May 15 12:43:22 2018 commencing relation filtering
  18. Tue May 15 12:43:22 2018 setting target matrix density to 128.0
  19. Tue May 15 12:43:22 2018 estimated available RAM is 15997.3 MB
  20. Tue May 15 12:43:22 2018 commencing duplicate removal, pass 1
  21. Tue May 15 12:43:37 2018 error -1 reading relation 2102510
  22. [ . . . deleted 9300 lines - mostly -1 & -11 errors (few -6 errors) . . . ]
  23. Tue May 15 12:58:44 2018 error -1 reading relation 134257774
  24. Tue May 15 13:03:57 2018 error -15 reading relation 179126473
  25. Tue May 15 13:05:30 2018 skipped 486 relations with b > 2^32
  26. Tue May 15 13:05:30 2018 skipped 2957 relations with composite factors
  27. Tue May 15 13:05:30 2018 found 8037083 hash collisions in 191226791 relations
  28. Tue May 15 13:05:40 2018 commencing duplicate removal, pass 2
  29. Tue May 15 13:06:32 2018 found 0 duplicates and 191226791 unique relations
  30. Tue May 15 13:06:32 2018 memory use: 522.4 MB
  31. Tue May 15 13:06:32 2018 reading ideals above 133890048
  32. Tue May 15 13:06:32 2018 commencing singleton removal, initial pass
  33. Tue May 15 13:22:17 2018 memory use: 3012.0 MB
  34. Tue May 15 13:22:17 2018 reading all ideals from disk
  35. Tue May 15 13:22:23 2018 memory use: 3681.9 MB
  36. Tue May 15 13:22:30 2018 commencing in-memory singleton removal
  37. Tue May 15 13:22:37 2018 begin with 191226791 relations and 163332810 unique ideals
  38. Tue May 15 13:23:51 2018 reduce to 124891398 relations and 90402354 ideals in 14 passes
  39. Tue May 15 13:23:51 2018 max relations containing the same ideal: 39
  40. Tue May 15 13:23:57 2018 reading ideals above 720000
  41. Tue May 15 13:23:57 2018 commencing singleton removal, initial pass
  42. Tue May 15 13:37:15 2018 memory use: 2756.0 MB
  43. Tue May 15 13:37:15 2018 reading all ideals from disk
  44. Tue May 15 13:37:25 2018 memory use: 5172.8 MB
  45. Tue May 15 13:37:39 2018 keeping 104879708 ideals with weight <= 200, target excess is 691103
  46. Tue May 15 13:37:52 2018 commencing in-memory singleton removal
  47. Tue May 15 13:38:02 2018 begin with 124891398 relations and 104879708 unique ideals
  48. Tue May 15 13:38:51 2018 reduce to 124891325 relations and 104879635 ideals in 5 passes
  49. Tue May 15 13:38:51 2018 max relations containing the same ideal: 200
  50. Tue May 15 13:39:43 2018 removing 11171670 relations and 9171670 ideals in 2000000 cliques
  51. Tue May 15 13:39:46 2018 commencing in-memory singleton removal
  52. Tue May 15 13:39:56 2018 begin with 113719655 relations and 104879635 unique ideals
  53. Tue May 15 13:41:16 2018 reduce to 113011756 relations and 94985855 ideals in 9 passes
  54. Tue May 15 13:41:16 2018 max relations containing the same ideal: 196
  55. Tue May 15 13:42:03 2018 removing 8505525 relations and 6505525 ideals in 2000000 cliques
  56. Tue May 15 13:42:06 2018 commencing in-memory singleton removal
  57. Tue May 15 13:42:13 2018 begin with 104506231 relations and 94985855 unique ideals
  58. Tue May 15 13:43:05 2018 reduce to 104036390 relations and 88002283 ideals in 7 passes
  59. Tue May 15 13:43:05 2018 max relations containing the same ideal: 187
  60. Tue May 15 13:43:45 2018 removing 7693470 relations and 5693470 ideals in 2000000 cliques
  61. Tue May 15 13:43:47 2018 commencing in-memory singleton removal
  62. Tue May 15 13:43:54 2018 begin with 96342920 relations and 88002283 unique ideals
  63. Tue May 15 13:44:40 2018 reduce to 95927019 relations and 81885348 ideals in 7 passes
  64. Tue May 15 13:44:40 2018 max relations containing the same ideal: 180
  65. Tue May 15 13:45:17 2018 removing 7268046 relations and 5268046 ideals in 2000000 cliques
  66. Tue May 15 13:45:20 2018 commencing in-memory singleton removal
  67. Tue May 15 13:45:26 2018 begin with 88658973 relations and 81885348 unique ideals
  68. Tue May 15 13:46:14 2018 reduce to 88265065 relations and 76216272 ideals in 8 passes
  69. Tue May 15 13:46:14 2018 max relations containing the same ideal: 168
  70. Tue May 15 13:46:47 2018 removing 7001606 relations and 5001606 ideals in 2000000 cliques
  71. Tue May 15 13:46:50 2018 commencing in-memory singleton removal
  72. Tue May 15 13:46:55 2018 begin with 81263459 relations and 76216272 unique ideals
  73. Tue May 15 13:47:33 2018 reduce to 80877861 relations and 70821511 ideals in 7 passes
  74. Tue May 15 13:47:33 2018 max relations containing the same ideal: 159
  75. Tue May 15 13:48:04 2018 removing 6819034 relations and 4819034 ideals in 2000000 cliques
  76. Tue May 15 13:48:06 2018 commencing in-memory singleton removal
  77. Tue May 15 13:48:11 2018 begin with 74058827 relations and 70821511 unique ideals
  78. Tue May 15 13:48:46 2018 reduce to 73667698 relations and 65603211 ideals in 7 passes
  79. Tue May 15 13:48:46 2018 max relations containing the same ideal: 149
  80. Tue May 15 13:49:14 2018 removing 6694564 relations and 4694564 ideals in 2000000 cliques
  81. Tue May 15 13:49:16 2018 commencing in-memory singleton removal
  82. Tue May 15 13:49:20 2018 begin with 66973134 relations and 65603211 unique ideals
  83. Tue May 15 13:49:51 2018 reduce to 66565790 relations and 60492076 ideals in 7 passes
  84. Tue May 15 13:49:51 2018 max relations containing the same ideal: 140
  85. Tue May 15 13:50:17 2018 removing 6609494 relations and 4609494 ideals in 2000000 cliques
  86. Tue May 15 13:50:19 2018 commencing in-memory singleton removal
  87. Tue May 15 13:50:23 2018 begin with 59956296 relations and 60492076 unique ideals
  88. Tue May 15 13:50:50 2018 reduce to 59518888 relations and 55434367 ideals in 7 passes
  89. Tue May 15 13:50:50 2018 max relations containing the same ideal: 130
  90. Tue May 15 13:51:13 2018 removing 6567878 relations and 4567878 ideals in 2000000 cliques
  91. Tue May 15 13:51:15 2018 commencing in-memory singleton removal
  92. Tue May 15 13:51:18 2018 begin with 52951010 relations and 55434367 unique ideals
  93. Tue May 15 13:51:45 2018 reduce to 52459972 relations and 50361552 ideals in 8 passes
  94. Tue May 15 13:51:45 2018 max relations containing the same ideal: 120
  95. Tue May 15 13:52:05 2018 removing 4617649 relations and 3320909 ideals in 1296740 cliques
  96. Tue May 15 13:52:07 2018 commencing in-memory singleton removal
  97. Tue May 15 13:52:10 2018 begin with 47842323 relations and 50361552 unique ideals
  98. Tue May 15 13:52:31 2018 reduce to 47562189 relations and 46754607 ideals in 7 passes
  99. Tue May 15 13:52:31 2018 max relations containing the same ideal: 111
  100. Tue May 15 13:52:56 2018 relations with 0 large ideals: 26369
  101. Tue May 15 13:52:56 2018 relations with 1 large ideals: 5763
  102. Tue May 15 13:52:56 2018 relations with 2 large ideals: 76059
  103. Tue May 15 13:52:56 2018 relations with 3 large ideals: 592730
  104. Tue May 15 13:52:56 2018 relations with 4 large ideals: 2554087
  105. Tue May 15 13:52:56 2018 relations with 5 large ideals: 6693071
  106. Tue May 15 13:52:56 2018 relations with 6 large ideals: 11181594
  107. Tue May 15 13:52:56 2018 relations with 7+ large ideals: 26432516
  108. Tue May 15 13:52:56 2018 commencing 2-way merge
  109. Tue May 15 13:53:18 2018 reduce to 32403238 relation sets and 31595656 unique ideals
  110. Tue May 15 13:53:18 2018 commencing full merge
  111. Tue May 15 14:03:30 2018 memory use: 4214.9 MB
  112. Tue May 15 14:03:32 2018 found 14388405 cycles, need 14375856
  113. Tue May 15 14:03:36 2018 weight of 14375856 cycles is about 1840766363 (128.05/cycle)
  114. Tue May 15 14:03:36 2018 distribution of cycle lengths:
  115. Tue May 15 14:03:36 2018 1 relations: 523220
  116. Tue May 15 14:03:36 2018 2 relations: 767104
  117. Tue May 15 14:03:36 2018 3 relations: 957094
  118. Tue May 15 14:03:36 2018 4 relations: 1026275
  119. Tue May 15 14:03:36 2018 5 relations: 1068964
  120. Tue May 15 14:03:36 2018 6 relations: 1072437
  121. Tue May 15 14:03:36 2018 7 relations: 1053328
  122. Tue May 15 14:03:36 2018 8 relations: 1014593
  123. Tue May 15 14:03:36 2018 9 relations: 953902
  124. Tue May 15 14:03:36 2018 10+ relations: 5938939
  125. Tue May 15 14:03:36 2018 heaviest cycle: 28 relations
  126. Tue May 15 14:03:39 2018 commencing cycle optimization
  127. Tue May 15 14:04:02 2018 start with 130748446 relations
  128. Tue May 15 14:08:12 2018 pruned 6618876 relations
  129. Tue May 15 14:08:12 2018 memory use: 3329.4 MB
  130. Tue May 15 14:08:12 2018 distribution of cycle lengths:
  131. Tue May 15 14:08:12 2018 1 relations: 523220
  132. Tue May 15 14:08:12 2018 2 relations: 788115
  133. Tue May 15 14:08:12 2018 3 relations: 1001215
  134. Tue May 15 14:08:12 2018 4 relations: 1074917
  135. Tue May 15 14:08:12 2018 5 relations: 1129550
  136. Tue May 15 14:08:12 2018 6 relations: 1130694
  137. Tue May 15 14:08:12 2018 7 relations: 1115553
  138. Tue May 15 14:08:12 2018 8 relations: 1070039
  139. Tue May 15 14:08:12 2018 9 relations: 1003656
  140. Tue May 15 14:08:12 2018 10+ relations: 5538897
  141. Tue May 15 14:08:12 2018 heaviest cycle: 28 relations
  142. Tue May 15 14:08:33 2018 RelProcTime: 5111
  143. Tue May 15 14:08:33 2018
  144. Tue May 15 14:08:33 2018 commencing linear algebra
  145. Tue May 15 14:08:39 2018 read 14375856 cycles
  146. Tue May 15 14:09:06 2018 cycles contain 47124633 unique relations
  147. Tue May 15 14:12:37 2018 read 47124633 relations
  148. Tue May 15 14:13:47 2018 using 20 quadratic characters above 4294917295
  149. Tue May 15 14:16:30 2018 building initial matrix
  150. Tue May 15 14:24:22 2018 memory use: 6059.8 MB
  151. Tue May 15 14:24:27 2018 read 14375856 cycles
  152. Tue May 15 14:24:29 2018 matrix is 14375679 x 14375856 (7056.0 MB) with weight 1996146085 (138.85/col)
  153. Tue May 15 14:24:29 2018 sparse part has weight 1705932648 (118.67/col)
  154. Tue May 15 14:27:16 2018 filtering completed in 2 passes
  155. Tue May 15 14:27:18 2018 matrix is 14375607 x 14375784 (7056.0 MB) with weight 1996144041 (138.85/col)
  156. Tue May 15 14:27:18 2018 sparse part has weight 1705932110 (118.67/col)
  157. Tue May 15 14:27:57 2018 matrix starts at (0, 0)
  158. Tue May 15 14:27:58 2018 matrix is 14375607 x 14375784 (7056.0 MB) with weight 1996144041 (138.85/col)
  159. Tue May 15 14:27:58 2018 sparse part has weight 1705932110 (118.67/col)
  160. Tue May 15 14:27:58 2018 saving the first 48 matrix rows for later
  161. Tue May 15 14:28:01 2018 matrix includes 64 packed rows
  162. Tue May 15 14:28:02 2018 matrix is 14375559 x 14375784 (6797.8 MB) with weight 1735884051 (120.75/col)
  163. Tue May 15 14:28:02 2018 sparse part has weight 1638237231 (113.96/col)
  164. Tue May 15 14:28:03 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  165. Tue May 15 14:29:03 2018 commencing Lanczos iteration (4 threads)
  166. Tue May 15 14:29:03 2018 memory use: 5859.8 MB
  167. Tue May 15 14:30:13 2018 linear algebra at 0.0%, ETA 176h20m
  168. Tue May 15 14:30:36 2018 checkpointing every 90000 dimensions
  169. Mon May 21 21:22:51 2018 lanczos halted after 227328 iterations (dim = 14375555)
  170. Mon May 21 21:23:15 2018 recovered 37 nontrivial dependencies
  171. Mon May 21 21:23:16 2018 BLanczosTime: 544483
  172. Mon May 21 21:23:16 2018
  173. Mon May 21 21:23:16 2018 commencing square root phase
  174. Mon May 21 21:23:16 2018 handling dependencies 1 to 64
  175. Mon May 21 21:23:16 2018 reading relations for dependency 1
  176. Mon May 21 21:23:17 2018 read 7188823 cycles
  177. Mon May 21 21:23:28 2018 cycles contain 23567222 unique relations
  178. Mon May 21 21:25:20 2018 read 23567222 relations
  179. Mon May 21 21:26:39 2018 multiplying 23567222 relations
  180. Mon May 21 21:43:05 2018 multiply complete, coefficients have about 633.27 million bits
  181. Mon May 21 21:43:09 2018 initial square root is modulo 480367
  182. Mon May 21 22:04:25 2018 sqrtTime: 2469
  183. Mon May 21 22:04:25 2018 p61 factor: 8078969742753151281147260574588058602880959547127188535688257
  184. Mon May 21 22:04:25 2018 p117 factor: 144393591175521890698009196888275632042003574269753439716291600612057167843913610292060601567498840517303420755733501
  185. Mon May 21 22:04:25 2018 elapsed time 153:21:04
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