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L2675B

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Apr 9th, 2018
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  1. Wed Apr 4 12:05:22 2018 Msieve v. 1.53 (SVN unknown)
  2. Wed Apr 4 12:05:22 2018 random seeds: 05cb83bc 706c69ac
  3. Wed Apr 4 12:05:22 2018 factoring 76562964825380286005425624321654873616546943299485896320519549166104207702893829511051664169728330046585279574359718032749403662678740294534033850278381625459215131280828761815864232349057434563465971509239035579050501 (218 digits)
  4. Wed Apr 4 12:05:24 2018 searching for 15-digit factors
  5. Wed Apr 4 12:05:25 2018 commencing number field sieve (218-digit input)
  6. Wed Apr 4 12:05:25 2018 R0: -45624969256769882625644229676772632057353264935332782291
  7. Wed Apr 4 12:05:25 2018 R1: 28197781736352815952563206467131172508227658829511523778
  8. Wed Apr 4 12:05:25 2018 A0: 11
  9. Wed Apr 4 12:05:25 2018 A1: 7
  10. Wed Apr 4 12:05:25 2018 A2: 9
  11. Wed Apr 4 12:05:25 2018 A3: 3
  12. Wed Apr 4 12:05:25 2018 A4: 1
  13. Wed Apr 4 12:05:25 2018 skew 1.00, size 6.397e-23, alpha 1.426, combined = 1.239e-13 rroots = 0
  14. Wed Apr 4 12:05:25 2018
  15. Wed Apr 4 12:05:25 2018 commencing relation filtering
  16. Wed Apr 4 12:05:25 2018 setting target matrix density to 108.0
  17. Wed Apr 4 12:05:25 2018 estimated available RAM is 15997.4 MB
  18. Wed Apr 4 12:05:25 2018 commencing duplicate removal, pass 1
  19. Wed Apr 4 12:21:39 2018 error -1 reading relation 113419411
  20. Wed Apr 4 12:27:15 2018 error -1 reading relation 152061936
  21. Wed Apr 4 12:29:59 2018 error -1 reading relation 172095495
  22. Wed Apr 4 12:30:15 2018 error -6 reading relation 173829461
  23. Wed Apr 4 12:30:48 2018 error -15 reading relation 177682793
  24. Wed Apr 4 12:32:31 2018 error -5 reading relation 189459791
  25. Wed Apr 4 12:33:05 2018 skipped 429 relations with b > 2^32
  26. Wed Apr 4 12:33:05 2018 skipped 6 relations with composite factors
  27. Wed Apr 4 12:33:05 2018 found 8227990 hash collisions in 193662254 relations
  28. Wed Apr 4 12:33:05 2018 commencing duplicate removal, pass 2
  29. Wed Apr 4 12:34:47 2018 found 0 duplicates and 193662254 unique relations
  30. Wed Apr 4 12:34:47 2018 memory use: 522.4 MB
  31. Wed Apr 4 12:34:47 2018 reading ideals above 151191552
  32. Wed Apr 4 12:34:47 2018 commencing singleton removal, initial pass
  33. Wed Apr 4 12:55:54 2018 memory use: 3012.0 MB
  34. Wed Apr 4 12:55:54 2018 reading all ideals from disk
  35. Wed Apr 4 12:56:03 2018 memory use: 3766.3 MB
  36. Wed Apr 4 12:56:15 2018 commencing in-memory singleton removal
  37. Wed Apr 4 12:56:27 2018 begin with 193662254 relations and 159052246 unique ideals
  38. Wed Apr 4 12:58:29 2018 reduce to 132606827 relations and 92285633 ideals in 13 passes
  39. Wed Apr 4 12:58:29 2018 max relations containing the same ideal: 46
  40. Wed Apr 4 12:58:39 2018 reading ideals above 720000
  41. Wed Apr 4 12:58:40 2018 commencing singleton removal, initial pass
  42. Wed Apr 4 13:16:49 2018 memory use: 3012.0 MB
  43. Wed Apr 4 13:16:49 2018 reading all ideals from disk
  44. Wed Apr 4 13:17:02 2018 memory use: 5254.0 MB
  45. Wed Apr 4 13:17:23 2018 keeping 108653779 ideals with weight <= 200, target excess is 646109
  46. Wed Apr 4 13:17:43 2018 commencing in-memory singleton removal
  47. Wed Apr 4 13:17:59 2018 begin with 132606827 relations and 108653779 unique ideals
  48. Wed Apr 4 13:19:34 2018 reduce to 132602912 relations and 108649850 ideals in 6 passes
  49. Wed Apr 4 13:19:34 2018 max relations containing the same ideal: 200
  50. Wed Apr 4 13:20:54 2018 removing 10639476 relations and 8639476 ideals in 2000000 cliques
  51. Wed Apr 4 13:20:58 2018 commencing in-memory singleton removal
  52. Wed Apr 4 13:21:14 2018 begin with 121963436 relations and 108649850 unique ideals
  53. Wed Apr 4 13:23:20 2018 reduce to 121256821 relations and 99289574 ideals in 9 passes
  54. Wed Apr 4 13:23:20 2018 max relations containing the same ideal: 196
  55. Wed Apr 4 13:24:32 2018 removing 8176843 relations and 6176843 ideals in 2000000 cliques
  56. Wed Apr 4 13:24:36 2018 commencing in-memory singleton removal
  57. Wed Apr 4 13:24:49 2018 begin with 113079978 relations and 99289574 unique ideals
  58. Wed Apr 4 13:26:14 2018 reduce to 112609222 relations and 92633758 ideals in 7 passes
  59. Wed Apr 4 13:26:14 2018 max relations containing the same ideal: 190
  60. Wed Apr 4 13:27:18 2018 removing 7442044 relations and 5442044 ideals in 2000000 cliques
  61. Wed Apr 4 13:27:21 2018 commencing in-memory singleton removal
  62. Wed Apr 4 13:27:33 2018 begin with 105167178 relations and 92633758 unique ideals
  63. Wed Apr 4 13:28:53 2018 reduce to 104750723 relations and 86768129 ideals in 7 passes
  64. Wed Apr 4 13:28:53 2018 max relations containing the same ideal: 181
  65. Wed Apr 4 13:29:54 2018 removing 7074660 relations and 5074660 ideals in 2000000 cliques
  66. Wed Apr 4 13:29:58 2018 commencing in-memory singleton removal
  67. Wed Apr 4 13:30:09 2018 begin with 97676063 relations and 86768129 unique ideals
  68. Wed Apr 4 13:31:19 2018 reduce to 97280062 relations and 81290429 ideals in 7 passes
  69. Wed Apr 4 13:31:19 2018 max relations containing the same ideal: 174
  70. Wed Apr 4 13:32:13 2018 removing 6861645 relations and 4861645 ideals in 2000000 cliques
  71. Wed Apr 4 13:32:16 2018 commencing in-memory singleton removal
  72. Wed Apr 4 13:32:26 2018 begin with 90418417 relations and 81290429 unique ideals
  73. Wed Apr 4 13:33:32 2018 reduce to 90025652 relations and 76028640 ideals in 7 passes
  74. Wed Apr 4 13:33:32 2018 max relations containing the same ideal: 164
  75. Wed Apr 4 13:34:23 2018 removing 6724881 relations and 4724881 ideals in 2000000 cliques
  76. Wed Apr 4 13:34:26 2018 commencing in-memory singleton removal
  77. Wed Apr 4 13:34:35 2018 begin with 83300771 relations and 76028640 unique ideals
  78. Wed Apr 4 13:35:42 2018 reduce to 82899600 relations and 70894595 ideals in 8 passes
  79. Wed Apr 4 13:35:42 2018 max relations containing the same ideal: 156
  80. Wed Apr 4 13:36:30 2018 removing 6642084 relations and 4642084 ideals in 2000000 cliques
  81. Wed Apr 4 13:36:33 2018 commencing in-memory singleton removal
  82. Wed Apr 4 13:36:41 2018 begin with 76257516 relations and 70894595 unique ideals
  83. Wed Apr 4 13:37:33 2018 reduce to 75840470 relations and 65826499 ideals in 7 passes
  84. Wed Apr 4 13:37:33 2018 max relations containing the same ideal: 150
  85. Wed Apr 4 13:38:18 2018 removing 6601188 relations and 4601188 ideals in 2000000 cliques
  86. Wed Apr 4 13:38:21 2018 commencing in-memory singleton removal
  87. Wed Apr 4 13:38:28 2018 begin with 69239282 relations and 65826499 unique ideals
  88. Wed Apr 4 13:39:14 2018 reduce to 68796476 relations and 60771963 ideals in 7 passes
  89. Wed Apr 4 13:39:14 2018 max relations containing the same ideal: 138
  90. Wed Apr 4 13:39:54 2018 removing 6588822 relations and 4588822 ideals in 2000000 cliques
  91. Wed Apr 4 13:39:57 2018 commencing in-memory singleton removal
  92. Wed Apr 4 13:40:04 2018 begin with 62207654 relations and 60771963 unique ideals
  93. Wed Apr 4 13:40:45 2018 reduce to 61725187 relations and 55688239 ideals in 7 passes
  94. Wed Apr 4 13:40:45 2018 max relations containing the same ideal: 128
  95. Wed Apr 4 13:41:20 2018 removing 6600186 relations and 4600186 ideals in 2000000 cliques
  96. Wed Apr 4 13:41:22 2018 commencing in-memory singleton removal
  97. Wed Apr 4 13:41:28 2018 begin with 55125001 relations and 55688239 unique ideals
  98. Wed Apr 4 13:42:03 2018 reduce to 54587269 relations and 50535307 ideals in 7 passes
  99. Wed Apr 4 13:42:03 2018 max relations containing the same ideal: 119
  100. Wed Apr 4 13:42:34 2018 removing 6644608 relations and 4644608 ideals in 2000000 cliques
  101. Wed Apr 4 13:42:37 2018 commencing in-memory singleton removal
  102. Wed Apr 4 13:42:42 2018 begin with 47942661 relations and 50535307 unique ideals
  103. Wed Apr 4 13:43:18 2018 reduce to 47322005 relations and 45250442 ideals in 8 passes
  104. Wed Apr 4 13:43:18 2018 max relations containing the same ideal: 106
  105. Wed Apr 4 13:43:44 2018 removing 4832601 relations and 3510525 ideals in 1322076 cliques
  106. Wed Apr 4 13:43:46 2018 commencing in-memory singleton removal
  107. Wed Apr 4 13:43:50 2018 begin with 42489404 relations and 45250442 unique ideals
  108. Wed Apr 4 13:44:17 2018 reduce to 42111914 relations and 41353234 ideals in 7 passes
  109. Wed Apr 4 13:44:17 2018 max relations containing the same ideal: 98
  110. Wed Apr 4 13:44:42 2018 removing 70568 relations and 61375 ideals in 9193 cliques
  111. Wed Apr 4 13:44:43 2018 commencing in-memory singleton removal
  112. Wed Apr 4 13:44:48 2018 begin with 42041346 relations and 41353234 unique ideals
  113. Wed Apr 4 13:45:03 2018 reduce to 42041285 relations and 41291798 ideals in 4 passes
  114. Wed Apr 4 13:45:03 2018 max relations containing the same ideal: 98
  115. Wed Apr 4 13:45:12 2018 relations with 0 large ideals: 52828
  116. Wed Apr 4 13:45:12 2018 relations with 1 large ideals: 7738
  117. Wed Apr 4 13:45:12 2018 relations with 2 large ideals: 93888
  118. Wed Apr 4 13:45:12 2018 relations with 3 large ideals: 688019
  119. Wed Apr 4 13:45:12 2018 relations with 4 large ideals: 2840371
  120. Wed Apr 4 13:45:12 2018 relations with 5 large ideals: 8588837
  121. Wed Apr 4 13:45:12 2018 relations with 6 large ideals: 10555098
  122. Wed Apr 4 13:45:12 2018 relations with 7+ large ideals: 19214506
  123. Wed Apr 4 13:45:12 2018 commencing 2-way merge
  124. Wed Apr 4 13:45:42 2018 reduce to 28448704 relation sets and 27699217 unique ideals
  125. Wed Apr 4 13:45:42 2018 commencing full merge
  126. Wed Apr 4 13:58:20 2018 memory use: 3505.0 MB
  127. Wed Apr 4 13:58:22 2018 found 12895363 cycles, need 12885417
  128. Wed Apr 4 13:58:25 2018 weight of 12885417 cycles is about 1392046015 (108.03/cycle)
  129. Wed Apr 4 13:58:25 2018 distribution of cycle lengths:
  130. Wed Apr 4 13:58:25 2018 1 relations: 649633
  131. Wed Apr 4 13:58:25 2018 2 relations: 842645
  132. Wed Apr 4 13:58:25 2018 3 relations: 949694
  133. Wed Apr 4 13:58:25 2018 4 relations: 971666
  134. Wed Apr 4 13:58:25 2018 5 relations: 961925
  135. Wed Apr 4 13:58:25 2018 6 relations: 946040
  136. Wed Apr 4 13:58:25 2018 7 relations: 910289
  137. Wed Apr 4 13:58:25 2018 8 relations: 864370
  138. Wed Apr 4 13:58:25 2018 9 relations: 807757
  139. Wed Apr 4 13:58:25 2018 10+ relations: 4981398
  140. Wed Apr 4 13:58:25 2018 heaviest cycle: 28 relations
  141. Wed Apr 4 13:58:27 2018 commencing cycle optimization
  142. Wed Apr 4 13:58:48 2018 start with 112293741 relations
  143. Wed Apr 4 14:02:41 2018 pruned 5234349 relations
  144. Wed Apr 4 14:02:41 2018 memory use: 2907.4 MB
  145. Wed Apr 4 14:02:41 2018 distribution of cycle lengths:
  146. Wed Apr 4 14:02:41 2018 1 relations: 649633
  147. Wed Apr 4 14:02:41 2018 2 relations: 861334
  148. Wed Apr 4 14:02:41 2018 3 relations: 990384
  149. Wed Apr 4 14:02:41 2018 4 relations: 1012525
  150. Wed Apr 4 14:02:41 2018 5 relations: 1012257
  151. Wed Apr 4 14:02:41 2018 6 relations: 991504
  152. Wed Apr 4 14:02:41 2018 7 relations: 958163
  153. Wed Apr 4 14:02:41 2018 8 relations: 903513
  154. Wed Apr 4 14:02:41 2018 9 relations: 844473
  155. Wed Apr 4 14:02:41 2018 10+ relations: 4661631
  156. Wed Apr 4 14:02:41 2018 heaviest cycle: 28 relations
  157. Wed Apr 4 14:03:03 2018 RelProcTime: 7058
  158. Wed Apr 4 14:03:03 2018
  159. Wed Apr 4 14:03:03 2018 commencing linear algebra
  160. Wed Apr 4 14:03:04 2018 read 12885417 cycles
  161. Wed Apr 4 14:03:24 2018 cycles contain 41623345 unique relations
  162. Wed Apr 4 14:06:26 2018 read 41623345 relations
  163. Wed Apr 4 14:07:34 2018 using 20 quadratic characters above 4294917295
  164. Wed Apr 4 14:09:59 2018 building initial matrix
  165. Wed Apr 4 14:16:13 2018 memory use: 5285.3 MB
  166. Wed Apr 4 14:16:19 2018 read 12885417 cycles
  167. Wed Apr 4 14:16:20 2018 matrix is 12885240 x 12885417 (5533.3 MB) with weight 1587331183 (123.19/col)
  168. Wed Apr 4 14:16:20 2018 sparse part has weight 1308772011 (101.57/col)
  169. Wed Apr 4 14:18:37 2018 filtering completed in 2 passes
  170. Wed Apr 4 14:18:39 2018 matrix is 12885113 x 12885290 (5533.3 MB) with weight 1587326885 (123.19/col)
  171. Wed Apr 4 14:18:39 2018 sparse part has weight 1308770481 (101.57/col)
  172. Wed Apr 4 14:19:08 2018 matrix starts at (0, 0)
  173. Wed Apr 4 14:19:10 2018 matrix is 12885113 x 12885290 (5533.3 MB) with weight 1587326885 (123.19/col)
  174. Wed Apr 4 14:19:10 2018 sparse part has weight 1308770481 (101.57/col)
  175. Wed Apr 4 14:19:10 2018 saving the first 48 matrix rows for later
  176. Wed Apr 4 14:19:12 2018 matrix includes 64 packed rows
  177. Wed Apr 4 14:19:13 2018 matrix is 12885065 x 12885290 (5294.6 MB) with weight 1352256749 (104.95/col)
  178. Wed Apr 4 14:19:13 2018 sparse part has weight 1259095476 (97.72/col)
  179. Wed Apr 4 14:19:13 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  180. Wed Apr 4 14:20:01 2018 commencing Lanczos iteration (4 threads)
  181. Wed Apr 4 14:20:01 2018 memory use: 4515.5 MB
  182. Wed Apr 4 14:20:56 2018 linear algebra at 0.0%, ETA 125h41m
  183. Wed Apr 4 14:21:14 2018 checkpointing every 110000 dimensions
  184. Mon Apr 9 17:41:45 2018 lanczos halted after 203764 iterations (dim = 12885063)
  185. Mon Apr 9 17:41:58 2018 recovered 35 nontrivial dependencies
  186. Mon Apr 9 17:41:58 2018 BLanczosTime: 445135
  187. Mon Apr 9 17:41:58 2018
  188. Mon Apr 9 17:41:58 2018 commencing square root phase
  189. Mon Apr 9 17:41:58 2018 handling dependencies 1 to 64
  190. Mon Apr 9 17:41:58 2018 reading relations for dependency 1
  191. Mon Apr 9 17:41:59 2018 read 6443896 cycles
  192. Mon Apr 9 17:42:10 2018 cycles contain 20811042 unique relations
  193. Mon Apr 9 17:43:47 2018 read 20811042 relations
  194. Mon Apr 9 17:45:00 2018 multiplying 20811042 relations
  195. Mon Apr 9 17:51:16 2018 multiply complete, coefficients have about 548.83 million bits
  196. Mon Apr 9 17:51:18 2018 initial square root is modulo 83933
  197. Mon Apr 9 17:59:12 2018 sqrtTime: 1034
  198. Mon Apr 9 17:59:12 2018 p59 factor: 27081003959745788371641070659237582329168108955795178637351
  199. Mon Apr 9 17:59:12 2018 p160 factor: 2827183399078790611460579560319638331041745663997165970594154348690207033200975504887442210911860865396570903272894059148496758654638949663676512964994806385651
  200. Mon Apr 9 17:59:12 2018 elapsed time 125:53:50
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