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11p4_247

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Jan 28th, 2019
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  1. Sun Jan 27 18:41:06 2019
  2. Sun Jan 27 18:41:06 2019
  3. Sun Jan 27 18:41:06 2019 Msieve v. 1.53 (SVN 988M)
  4. Sun Jan 27 18:41:06 2019 random seeds: 3457a883 5fd4e85f
  5. Sun Jan 27 18:41:06 2019 factoring 75524375890728769046956199257530855986431224365221840529808341077442627979652517389412804567562360220309541066107366012464688069633865871506717454925444176366239543281498393904042306649441355405691 (197 digits)
  6. Sun Jan 27 18:41:07 2019 searching for 15-digit factors
  7. Sun Jan 27 18:41:09 2019 commencing number field sieve (197-digit input)
  8. Sun Jan 27 18:41:09 2019 R0: 3740434344477351464474339431277705275817
  9. Sun Jan 27 18:41:09 2019 R1: -16811282773058972887713478344704
  10. Sun Jan 27 18:41:09 2019 A0: -1
  11. Sun Jan 27 18:41:09 2019 A1: -3
  12. Sun Jan 27 18:41:09 2019 A2: 6
  13. Sun Jan 27 18:41:09 2019 A3: 4
  14. Sun Jan 27 18:41:09 2019 A4: -5
  15. Sun Jan 27 18:41:09 2019 A5: -1
  16. Sun Jan 27 18:41:09 2019 A6: 1
  17. Sun Jan 27 18:41:09 2019 skew 1.00, size 1.112e-11, alpha 3.126, combined = 6.742e-13 rroots = 6
  18. Sun Jan 27 18:41:09 2019
  19. Sun Jan 27 18:41:09 2019 commencing relation filtering
  20. Sun Jan 27 18:41:09 2019 setting target matrix density to 120.0
  21. Sun Jan 27 18:41:09 2019 estimated available RAM is 65536.0 MB
  22. Sun Jan 27 18:41:09 2019 commencing duplicate removal, pass 1
  23. Sun Jan 27 18:43:04 2019 error -15 reading relation 13030241
  24. Sun Jan 27 18:43:53 2019 error -15 reading relation 18733150
  25. Sun Jan 27 18:44:27 2019 error -1 reading relation 22569725
  26. Sun Jan 27 18:44:27 2019 error -1 reading relation 22569726
  27. Sun Jan 27 18:44:27 2019 error -1 reading relation 22569727
  28. Sun Jan 27 18:44:27 2019 error -1 reading relation 22569728
  29. Sun Jan 27 18:44:27 2019 error -1 reading relation 22569730
  30. Sun Jan 27 18:44:27 2019 error -1 reading relation 22569731
  31. Sun Jan 27 18:46:20 2019 error -11 reading relation 36529372
  32. Sun Jan 27 18:47:12 2019 error -11 reading relation 43377110
  33. Sun Jan 27 18:48:40 2019 error -11 reading relation 54849782
  34. Sun Jan 27 18:49:02 2019 error -15 reading relation 57754295
  35. Sun Jan 27 18:49:16 2019 error -15 reading relation 59586366
  36. Sun Jan 27 18:49:23 2019 error -11 reading relation 60541418
  37. Sun Jan 27 18:50:37 2019 error -11 reading relation 70211398
  38. Sun Jan 27 18:52:39 2019 error -15 reading relation 86276240
  39. Sun Jan 27 18:53:43 2019 error -11 reading relation 94579651
  40. Sun Jan 27 18:53:59 2019 skipped 13 relations with b > 2^32
  41. Sun Jan 27 18:53:59 2019 skipped 4 relations with composite factors
  42. Sun Jan 27 18:53:59 2019 found 4103934 hash collisions in 96665519 relations
  43. Sun Jan 27 18:54:07 2019 added 2438358 free relations
  44. Sun Jan 27 18:54:07 2019 commencing duplicate removal, pass 2
  45. Sun Jan 27 18:54:32 2019 found 0 duplicates and 99103877 unique relations
  46. Sun Jan 27 18:54:32 2019 memory use: 261.2 MB
  47. Sun Jan 27 18:54:32 2019 reading ideals above 720000
  48. Sun Jan 27 18:54:32 2019 commencing singleton removal, initial pass
  49. Sun Jan 27 19:06:38 2019 memory use: 2756.0 MB
  50. Sun Jan 27 19:06:38 2019 reading all ideals from disk
  51. Sun Jan 27 19:06:40 2019 memory use: 3798.8 MB
  52. Sun Jan 27 19:06:50 2019 keeping 90979132 ideals with weight <= 200, target excess is 517690
  53. Sun Jan 27 19:07:02 2019 commencing in-memory singleton removal
  54. Sun Jan 27 19:07:10 2019 begin with 99103877 relations and 90979132 unique ideals
  55. Sun Jan 27 19:08:34 2019 reduce to 65123148 relations and 53549151 ideals in 13 passes
  56. Sun Jan 27 19:08:35 2019 max relations containing the same ideal: 156
  57. Sun Jan 27 19:09:04 2019 removing 8690045 relations and 6690045 ideals in 2000000 cliques
  58. Sun Jan 27 19:09:07 2019 commencing in-memory singleton removal
  59. Sun Jan 27 19:09:12 2019 begin with 56433103 relations and 53549151 unique ideals
  60. Sun Jan 27 19:09:58 2019 reduce to 55478756 relations and 45868103 ideals in 9 passes
  61. Sun Jan 27 19:09:58 2019 max relations containing the same ideal: 142
  62. Sun Jan 27 19:10:23 2019 removing 6999271 relations and 4999271 ideals in 2000000 cliques
  63. Sun Jan 27 19:10:25 2019 commencing in-memory singleton removal
  64. Sun Jan 27 19:10:30 2019 begin with 48479485 relations and 45868103 unique ideals
  65. Sun Jan 27 19:11:08 2019 reduce to 47819760 relations and 40185265 ideals in 9 passes
  66. Sun Jan 27 19:11:08 2019 max relations containing the same ideal: 129
  67. Sun Jan 27 19:11:30 2019 removing 6436680 relations and 4436680 ideals in 2000000 cliques
  68. Sun Jan 27 19:11:32 2019 commencing in-memory singleton removal
  69. Sun Jan 27 19:11:36 2019 begin with 41383080 relations and 40185265 unique ideals
  70. Sun Jan 27 19:12:01 2019 reduce to 40785116 relations and 35127254 ideals in 7 passes
  71. Sun Jan 27 19:12:01 2019 max relations containing the same ideal: 117
  72. Sun Jan 27 19:12:19 2019 removing 6133359 relations and 4133359 ideals in 2000000 cliques
  73. Sun Jan 27 19:12:21 2019 commencing in-memory singleton removal
  74. Sun Jan 27 19:12:24 2019 begin with 34651757 relations and 35127254 unique ideals
  75. Sun Jan 27 19:12:44 2019 reduce to 34047860 relations and 30363247 ideals in 7 passes
  76. Sun Jan 27 19:12:44 2019 max relations containing the same ideal: 106
  77. Sun Jan 27 19:12:59 2019 removing 5939899 relations and 3939899 ideals in 2000000 cliques
  78. Sun Jan 27 19:13:01 2019 commencing in-memory singleton removal
  79. Sun Jan 27 19:13:03 2019 begin with 28107961 relations and 30363247 unique ideals
  80. Sun Jan 27 19:13:21 2019 reduce to 27442358 relations and 25723308 ideals in 8 passes
  81. Sun Jan 27 19:13:21 2019 max relations containing the same ideal: 90
  82. Sun Jan 27 19:13:34 2019 removing 3636010 relations and 2517481 ideals in 1118529 cliques
  83. Sun Jan 27 19:13:35 2019 commencing in-memory singleton removal
  84. Sun Jan 27 19:13:37 2019 begin with 23806348 relations and 25723308 unique ideals
  85. Sun Jan 27 19:13:50 2019 reduce to 23467038 relations and 22854052 ideals in 7 passes
  86. Sun Jan 27 19:13:50 2019 max relations containing the same ideal: 81
  87. Sun Jan 27 19:14:00 2019 removing 80202 relations and 67737 ideals in 12465 cliques
  88. Sun Jan 27 19:14:01 2019 commencing in-memory singleton removal
  89. Sun Jan 27 19:14:02 2019 begin with 23386836 relations and 22854052 unique ideals
  90. Sun Jan 27 19:14:11 2019 reduce to 23386668 relations and 22786147 ideals in 5 passes
  91. Sun Jan 27 19:14:11 2019 max relations containing the same ideal: 81
  92. Sun Jan 27 19:14:16 2019 relations with 0 large ideals: 38786
  93. Sun Jan 27 19:14:16 2019 relations with 1 large ideals: 10099
  94. Sun Jan 27 19:14:16 2019 relations with 2 large ideals: 96296
  95. Sun Jan 27 19:14:16 2019 relations with 3 large ideals: 625149
  96. Sun Jan 27 19:14:16 2019 relations with 4 large ideals: 2217320
  97. Sun Jan 27 19:14:16 2019 relations with 5 large ideals: 4684391
  98. Sun Jan 27 19:14:16 2019 relations with 6 large ideals: 6163754
  99. Sun Jan 27 19:14:16 2019 relations with 7+ large ideals: 9550873
  100. Sun Jan 27 19:14:16 2019 commencing 2-way merge
  101. Sun Jan 27 19:14:30 2019 reduce to 16264134 relation sets and 15663613 unique ideals
  102. Sun Jan 27 19:14:30 2019 commencing full merge
  103. Sun Jan 27 19:21:26 2019 memory use: 2119.7 MB
  104. Sun Jan 27 19:21:31 2019 found 7217789 cycles, need 7209813
  105. Sun Jan 27 19:21:31 2019 weight of 7209813 cycles is about 865281840 (120.01/cycle)
  106. Sun Jan 27 19:21:31 2019 distribution of cycle lengths:
  107. Sun Jan 27 19:21:31 2019 1 relations: 239964
  108. Sun Jan 27 19:21:31 2019 2 relations: 376462
  109. Sun Jan 27 19:21:31 2019 3 relations: 474064
  110. Sun Jan 27 19:21:31 2019 4 relations: 511427
  111. Sun Jan 27 19:21:31 2019 5 relations: 533777
  112. Sun Jan 27 19:21:31 2019 6 relations: 535691
  113. Sun Jan 27 19:21:31 2019 7 relations: 526242
  114. Sun Jan 27 19:21:31 2019 8 relations: 505745
  115. Sun Jan 27 19:21:31 2019 9 relations: 475415
  116. Sun Jan 27 19:21:31 2019 10+ relations: 3031026
  117. Sun Jan 27 19:21:31 2019 heaviest cycle: 28 relations
  118. Sun Jan 27 19:21:34 2019 commencing cycle optimization
  119. Sun Jan 27 19:21:51 2019 start with 66711625 relations
  120. Sun Jan 27 19:25:00 2019 pruned 3473494 relations
  121. Sun Jan 27 19:25:02 2019 memory use: 1662.5 MB
  122. Sun Jan 27 19:25:02 2019 distribution of cycle lengths:
  123. Sun Jan 27 19:25:02 2019 1 relations: 239964
  124. Sun Jan 27 19:25:02 2019 2 relations: 386385
  125. Sun Jan 27 19:25:02 2019 3 relations: 495651
  126. Sun Jan 27 19:25:02 2019 4 relations: 536254
  127. Sun Jan 27 19:25:02 2019 5 relations: 564512
  128. Sun Jan 27 19:25:02 2019 6 relations: 565837
  129. Sun Jan 27 19:25:02 2019 7 relations: 559242
  130. Sun Jan 27 19:25:02 2019 8 relations: 534607
  131. Sun Jan 27 19:25:02 2019 9 relations: 501216
  132. Sun Jan 27 19:25:02 2019 10+ relations: 2826145
  133. Sun Jan 27 19:25:02 2019 heaviest cycle: 28 relations
  134. Sun Jan 27 19:25:23 2019 RelProcTime: 2654
  135. Sun Jan 27 19:25:23 2019
  136. Sun Jan 27 19:25:23 2019 commencing linear algebra
  137. Sun Jan 27 19:25:24 2019 read 7209813 cycles
  138. Sun Jan 27 19:25:40 2019 cycles contain 23093082 unique relations
  139. Sun Jan 27 19:27:43 2019 read 23093082 relations
  140. Sun Jan 27 19:28:29 2019 using 20 quadratic characters above 4294917295
  141. Sun Jan 27 19:30:01 2019 building initial matrix
  142. Sun Jan 27 19:34:23 2019 memory use: 2865.3 MB
  143. Sun Jan 27 19:34:31 2019 read 7209813 cycles
  144. Sun Jan 27 19:34:31 2019 matrix is 7209636 x 7209813 (3334.8 MB) with weight 943098086 (130.81/col)
  145. Sun Jan 27 19:34:31 2019 sparse part has weight 802086700 (111.25/col)
  146. Sun Jan 27 19:36:11 2019 filtering completed in 2 passes
  147. Sun Jan 27 19:36:12 2019 matrix is 7209585 x 7209762 (3334.7 MB) with weight 943096684 (130.81/col)
  148. Sun Jan 27 19:36:12 2019 sparse part has weight 802086296 (111.25/col)
  149. Sun Jan 27 19:37:52 2019 matrix starts at (0, 0)
  150. Sun Jan 27 19:37:53 2019 matrix is 7209585 x 7209762 (3334.7 MB) with weight 943096684 (130.81/col)
  151. Sun Jan 27 19:37:53 2019 sparse part has weight 802086296 (111.25/col)
  152. Sun Jan 27 19:37:53 2019 saving the first 48 matrix rows for later
  153. Sun Jan 27 19:37:54 2019 matrix includes 64 packed rows
  154. Sun Jan 27 19:37:55 2019 matrix is 7209537 x 7209762 (3202.8 MB) with weight 816662432 (113.27/col)
  155. Sun Jan 27 19:37:55 2019 sparse part has weight 767496767 (106.45/col)
  156. Sun Jan 27 19:37:55 2019 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  157. Sun Jan 27 19:38:38 2019 commencing Lanczos iteration (8 threads)
  158. Sun Jan 27 19:38:38 2019 memory use: 2721.6 MB
  159. Sun Jan 27 19:38:54 2019 linear algebra at 0.0%, ETA 19h47m
  160. Sun Jan 27 19:38:59 2019 checkpointing every 370000 dimensions
  161. Mon Jan 28 15:49:18 2019 lanczos halted after 114011 iterations (dim = 7209535)
  162. Mon Jan 28 15:49:36 2019 recovered 34 nontrivial dependencies
  163. Mon Jan 28 15:49:39 2019 BLanczosTime: 73456
  164. Mon Jan 28 15:49:39 2019
  165. Mon Jan 28 15:49:39 2019 commencing square root phase
  166. Mon Jan 28 15:49:39 2019 handling dependencies 1 to 64
  167. Mon Jan 28 15:49:39 2019 reading relations for dependency 1
  168. Mon Jan 28 15:49:45 2019 read 3604584 cycles
  169. Mon Jan 28 15:49:53 2019 cycles contain 11547662 unique relations
  170. Mon Jan 28 15:53:50 2019 read 11547662 relations
  171. Mon Jan 28 15:54:42 2019 multiplying 11547662 relations
  172. Mon Jan 28 16:03:53 2019 multiply complete, coefficients have about 285.92 million bits
  173. Mon Jan 28 16:03:55 2019 initial square root is modulo 135007
  174. Mon Jan 28 16:13:18 2019 sqrtTime: 1419
  175. Mon Jan 28 16:13:18 2019 p73 factor: 2251596087366929344613364649955006683779444084900751422549019124115477259
  176. Mon Jan 28 16:13:18 2019 p125 factor: 33542595101525865553576909333070247687077520997117816277451657757833946451959293122281043887604214976060532411743318465780049
  177. Mon Jan 28 16:13:18 2019 elapsed time 21:32:12
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