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11p6_241

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  1. Tue Jul 30 21:16:54 2019  
  2. Tue Jul 30 21:16:54 2019  
  3. Tue Jul 30 21:16:54 2019  Msieve v. 1.54 (SVN 1025)
  4. Tue Jul 30 21:16:54 2019  random seeds: 59855d7f 10b0772c
  5. Tue Jul 30 21:16:54 2019  factoring 35316215044169543158795891575046226049882703507626446497929732431275524601390712162067719469940528976621504802700623174730330416001276622154658702202436048157979 (161 digits)
  6. Tue Jul 30 21:16:54 2019  searching for 15-digit factors
  7. Tue Jul 30 21:16:55 2019  commencing number field sieve (161-digit input)
  8. Tue Jul 30 21:16:55 2019  R0: -4311990569084139595447942703035
  9. Tue Jul 30 21:16:55 2019  R1: 34572881001320573
  10. Tue Jul 30 21:16:55 2019  A0: -13475883134171549344995257419632636432
  11. Tue Jul 30 21:16:55 2019  A1: -147654324913274785426510056674292
  12. Tue Jul 30 21:16:55 2019  A2: -32490853276990100246611576
  13. Tue Jul 30 21:16:55 2019  A3: -1583805489628697429
  14. Tue Jul 30 21:16:55 2019  A4: -78478382311962
  15. Tue Jul 30 21:16:55 2019  A5: 23691096
  16. Tue Jul 30 21:16:55 2019  skew 1529482.26, size 1.190e-15, alpha -7.956, combined = 1.252e-12 rroots = 3
  17. Tue Jul 30 21:16:55 2019  
  18. Tue Jul 30 21:16:55 2019  commencing relation filtering
  19. Tue Jul 30 21:16:55 2019  setting max relations to 122000000
  20. Tue Jul 30 21:16:55 2019  setting target matrix density to 140.0
  21. Tue Jul 30 21:16:55 2019  estimated available RAM is 16007.4 MB
  22. Tue Jul 30 21:16:55 2019  commencing duplicate removal, pass 1
  23. Tue Jul 30 21:25:24 2019  error -11 reading relation 74125555
  24. Tue Jul 30 21:30:00 2019  error -15 reading relation 113961861
  25. Tue Jul 30 21:30:09 2019  error -1 reading relation 115208461
  26. Tue Jul 30 21:30:56 2019  skipped 1 relations with b > 2^32
  27. Tue Jul 30 21:30:56 2019  skipped 6 relations with composite factors
  28. Tue Jul 30 21:30:56 2019  found 6434010 hash collisions in 121999990 relations
  29. Tue Jul 30 21:30:56 2019  commencing duplicate removal, pass 2
  30. Tue Jul 30 21:31:25 2019  found 1 duplicates and 121999989 unique relations
  31. Tue Jul 30 21:31:25 2019  memory use: 378.4 MB
  32. Tue Jul 30 21:31:25 2019  reading ideals above 109641728
  33. Tue Jul 30 21:31:25 2019  commencing singleton removal, initial pass
  34. Tue Jul 30 21:41:41 2019  memory use: 2756.0 MB
  35. Tue Jul 30 21:41:42 2019  reading all ideals from disk
  36. Tue Jul 30 21:41:45 2019  memory use: 1913.1 MB
  37. Tue Jul 30 21:41:48 2019  commencing in-memory singleton removal
  38. Tue Jul 30 21:41:51 2019  begin with 121999989 relations and 82786216 unique ideals
  39. Tue Jul 30 21:42:33 2019  reduce to 94075453 relations and 52906629 ideals in 12 passes
  40. Tue Jul 30 21:42:33 2019  max relations containing the same ideal: 46
  41. Tue Jul 30 21:42:36 2019  reading ideals above 720000
  42. Tue Jul 30 21:42:37 2019  commencing singleton removal, initial pass
  43. Tue Jul 30 21:52:27 2019  memory use: 1506.0 MB
  44. Tue Jul 30 21:52:27 2019  reading all ideals from disk
  45. Tue Jul 30 21:52:35 2019  memory use: 3512.1 MB
  46. Tue Jul 30 21:52:42 2019  keeping 64975456 ideals with weight <= 200, target excess is 497898
  47. Tue Jul 30 21:52:51 2019  commencing in-memory singleton removal
  48. Tue Jul 30 21:52:58 2019  begin with 94075453 relations and 64975456 unique ideals
  49. Tue Jul 30 21:53:40 2019  reduce to 94058715 relations and 64958716 ideals in 6 passes
  50. Tue Jul 30 21:53:40 2019  max relations containing the same ideal: 200
  51. Tue Jul 30 21:54:11 2019  removing 7296584 relations and 5296584 ideals in 2000000 cliques
  52. Tue Jul 30 21:54:13 2019  commencing in-memory singleton removal
  53. Tue Jul 30 21:54:19 2019  begin with 86762131 relations and 64958716 unique ideals
  54. Tue Jul 30 21:55:01 2019  reduce to 86300326 relations and 59187972 ideals in 6 passes
  55. Tue Jul 30 21:55:01 2019  max relations containing the same ideal: 197
  56. Tue Jul 30 21:55:29 2019  removing 5880190 relations and 3880190 ideals in 2000000 cliques
  57. Tue Jul 30 21:55:31 2019  commencing in-memory singleton removal
  58. Tue Jul 30 21:55:36 2019  begin with 80420136 relations and 59187972 unique ideals
  59. Tue Jul 30 21:56:09 2019  reduce to 80112902 relations and 54993391 ideals in 6 passes
  60. Tue Jul 30 21:56:09 2019  max relations containing the same ideal: 193
  61. Tue Jul 30 21:56:34 2019  removing 5510051 relations and 3510051 ideals in 2000000 cliques
  62. Tue Jul 30 21:56:36 2019  commencing in-memory singleton removal
  63. Tue Jul 30 21:56:40 2019  begin with 74602851 relations and 54993391 unique ideals
  64. Tue Jul 30 21:57:11 2019  reduce to 74341199 relations and 51215561 ideals in 6 passes
  65. Tue Jul 30 21:57:11 2019  max relations containing the same ideal: 184
  66. Tue Jul 30 21:57:33 2019  removing 5312647 relations and 3312647 ideals in 2000000 cliques
  67. Tue Jul 30 21:57:35 2019  commencing in-memory singleton removal
  68. Tue Jul 30 21:57:39 2019  begin with 69028552 relations and 51215561 unique ideals
  69. Tue Jul 30 21:58:11 2019  reduce to 68788343 relations and 47656988 ideals in 7 passes
  70. Tue Jul 30 21:58:11 2019  max relations containing the same ideal: 176
  71. Tue Jul 30 21:58:32 2019  removing 5185691 relations and 3185691 ideals in 2000000 cliques
  72. Tue Jul 30 21:58:34 2019  commencing in-memory singleton removal
  73. Tue Jul 30 21:58:38 2019  begin with 63602652 relations and 47656988 unique ideals
  74. Tue Jul 30 21:59:05 2019  reduce to 63373323 relations and 44236138 ideals in 7 passes
  75. Tue Jul 30 21:59:05 2019  max relations containing the same ideal: 166
  76. Tue Jul 30 21:59:23 2019  removing 5088986 relations and 3088986 ideals in 2000000 cliques
  77. Tue Jul 30 21:59:25 2019  commencing in-memory singleton removal
  78. Tue Jul 30 21:59:28 2019  begin with 58284337 relations and 44236138 unique ideals
  79. Tue Jul 30 21:59:49 2019  reduce to 58057808 relations and 40914587 ideals in 6 passes
  80. Tue Jul 30 21:59:49 2019  max relations containing the same ideal: 157
  81. Tue Jul 30 22:00:06 2019  removing 5018843 relations and 3018843 ideals in 2000000 cliques
  82. Tue Jul 30 22:00:08 2019  commencing in-memory singleton removal
  83. Tue Jul 30 22:00:10 2019  begin with 53038965 relations and 40914587 unique ideals
  84. Tue Jul 30 22:00:29 2019  reduce to 52811557 relations and 37661756 ideals in 6 passes
  85. Tue Jul 30 22:00:29 2019  max relations containing the same ideal: 144
  86. Tue Jul 30 22:00:45 2019  removing 4963818 relations and 2963818 ideals in 2000000 cliques
  87. Tue Jul 30 22:00:46 2019  commencing in-memory singleton removal
  88. Tue Jul 30 22:00:49 2019  begin with 47847739 relations and 37661756 unique ideals
  89. Tue Jul 30 22:01:06 2019  reduce to 47612206 relations and 34455029 ideals in 6 passes
  90. Tue Jul 30 22:01:06 2019  max relations containing the same ideal: 138
  91. Tue Jul 30 22:01:20 2019  removing 4919668 relations and 2919668 ideals in 2000000 cliques
  92. Tue Jul 30 22:01:22 2019  commencing in-memory singleton removal
  93. Tue Jul 30 22:01:24 2019  begin with 42692538 relations and 34455029 unique ideals
  94. Tue Jul 30 22:01:39 2019  reduce to 42445436 relations and 31280075 ideals in 6 passes
  95. Tue Jul 30 22:01:39 2019  max relations containing the same ideal: 127
  96. Tue Jul 30 22:01:51 2019  removing 4884503 relations and 2884503 ideals in 2000000 cliques
  97. Tue Jul 30 22:01:53 2019  commencing in-memory singleton removal
  98. Tue Jul 30 22:01:55 2019  begin with 37560933 relations and 31280075 unique ideals
  99. Tue Jul 30 22:02:06 2019  reduce to 37297796 relations and 28122843 ideals in 5 passes
  100. Tue Jul 30 22:02:06 2019  max relations containing the same ideal: 118
  101. Tue Jul 30 22:02:17 2019  removing 4853975 relations and 2853975 ideals in 2000000 cliques
  102. Tue Jul 30 22:02:18 2019  commencing in-memory singleton removal
  103. Tue Jul 30 22:02:20 2019  begin with 32443821 relations and 28122843 unique ideals
  104. Tue Jul 30 22:02:31 2019  reduce to 32156329 relations and 24969359 ideals in 6 passes
  105. Tue Jul 30 22:02:31 2019  max relations containing the same ideal: 104
  106. Tue Jul 30 22:02:40 2019  removing 4828994 relations and 2828994 ideals in 2000000 cliques
  107. Tue Jul 30 22:02:42 2019  commencing in-memory singleton removal
  108. Tue Jul 30 22:02:43 2019  begin with 27327335 relations and 24969359 unique ideals
  109. Tue Jul 30 22:02:54 2019  reduce to 27004028 relations and 21801969 ideals in 7 passes
  110. Tue Jul 30 22:02:54 2019  max relations containing the same ideal: 92
  111. Tue Jul 30 22:03:02 2019  removing 4812642 relations and 2812642 ideals in 2000000 cliques
  112. Tue Jul 30 22:03:03 2019  commencing in-memory singleton removal
  113. Tue Jul 30 22:03:04 2019  begin with 22191386 relations and 21801969 unique ideals
  114. Tue Jul 30 22:03:12 2019  reduce to 21807796 relations and 18584877 ideals in 6 passes
  115. Tue Jul 30 22:03:12 2019  max relations containing the same ideal: 82
  116. Tue Jul 30 22:03:18 2019  removing 4807578 relations and 2807578 ideals in 2000000 cliques
  117. Tue Jul 30 22:03:19 2019  commencing in-memory singleton removal
  118. Tue Jul 30 22:03:20 2019  begin with 17000218 relations and 18584877 unique ideals
  119. Tue Jul 30 22:03:27 2019  reduce to 16496696 relations and 15239545 ideals in 7 passes
  120. Tue Jul 30 22:03:27 2019  max relations containing the same ideal: 67
  121. Tue Jul 30 22:03:31 2019  removing 1906293 relations and 1226704 ideals in 679589 cliques
  122. Tue Jul 30 22:03:32 2019  commencing in-memory singleton removal
  123. Tue Jul 30 22:03:33 2019  begin with 14590403 relations and 15239545 unique ideals
  124. Tue Jul 30 22:03:38 2019  reduce to 14375974 relations and 13789892 ideals in 7 passes
  125. Tue Jul 30 22:03:38 2019  max relations containing the same ideal: 61
  126. Tue Jul 30 22:03:43 2019  removing 46193 relations and 37673 ideals in 8520 cliques
  127. Tue Jul 30 22:03:43 2019  commencing in-memory singleton removal
  128. Tue Jul 30 22:03:44 2019  begin with 14329781 relations and 13789892 unique ideals
  129. Tue Jul 30 22:03:46 2019  reduce to 14329643 relations and 13752081 ideals in 3 passes
  130. Tue Jul 30 22:03:46 2019  max relations containing the same ideal: 61
  131. Tue Jul 30 22:03:48 2019  relations with 0 large ideals: 0
  132. Tue Jul 30 22:03:48 2019  relations with 1 large ideals: 10394
  133. Tue Jul 30 22:03:48 2019  relations with 2 large ideals: 145633
  134. Tue Jul 30 22:03:48 2019  relations with 3 large ideals: 791718
  135. Tue Jul 30 22:03:48 2019  relations with 4 large ideals: 2233099
  136. Tue Jul 30 22:03:48 2019  relations with 5 large ideals: 3681495
  137. Tue Jul 30 22:03:48 2019  relations with 6 large ideals: 3752260
  138. Tue Jul 30 22:03:48 2019  relations with 7+ large ideals: 3715044
  139. Tue Jul 30 22:03:48 2019  commencing 2-way merge
  140. Tue Jul 30 22:03:54 2019  reduce to 10342414 relation sets and 9764852 unique ideals
  141. Tue Jul 30 22:03:54 2019  commencing full merge
  142. Tue Jul 30 22:06:40 2019  memory use: 1213.0 MB
  143. Tue Jul 30 22:06:41 2019  found 4368219 cycles, need 4361052
  144. Tue Jul 30 22:06:42 2019  weight of 4361052 cycles is about 611047778 (140.11/cycle)
  145. Tue Jul 30 22:06:42 2019  distribution of cycle lengths:
  146. Tue Jul 30 22:06:42 2019  1 relations: 46579
  147. Tue Jul 30 22:06:42 2019  2 relations: 165445
  148. Tue Jul 30 22:06:42 2019  3 relations: 235678
  149. Tue Jul 30 22:06:42 2019  4 relations: 273809
  150. Tue Jul 30 22:06:42 2019  5 relations: 310589
  151. Tue Jul 30 22:06:42 2019  6 relations: 322497
  152. Tue Jul 30 22:06:42 2019  7 relations: 327371
  153. Tue Jul 30 22:06:42 2019  8 relations: 318763
  154. Tue Jul 30 22:06:42 2019  9 relations: 304472
  155. Tue Jul 30 22:06:42 2019  10+ relations: 2055849
  156. Tue Jul 30 22:06:42 2019  heaviest cycle: 28 relations
  157. Tue Jul 30 22:06:43 2019  commencing cycle optimization
  158. Tue Jul 30 22:06:51 2019  start with 43809728 relations
  159. Tue Jul 30 22:08:15 2019  pruned 2961457 relations
  160. Tue Jul 30 22:08:15 2019  memory use: 1042.8 MB
  161. Tue Jul 30 22:08:15 2019  distribution of cycle lengths:
  162. Tue Jul 30 22:08:15 2019  1 relations: 46579
  163. Tue Jul 30 22:08:15 2019  2 relations: 171287
  164. Tue Jul 30 22:08:15 2019  3 relations: 248787
  165. Tue Jul 30 22:08:15 2019  4 relations: 291394
  166. Tue Jul 30 22:08:15 2019  5 relations: 334557
  167. Tue Jul 30 22:08:15 2019  6 relations: 348624
  168. Tue Jul 30 22:08:15 2019  7 relations: 356304
  169. Tue Jul 30 22:08:15 2019  8 relations: 345514
  170. Tue Jul 30 22:08:15 2019  9 relations: 329100
  171. Tue Jul 30 22:08:15 2019  10+ relations: 1888906
  172. Tue Jul 30 22:08:15 2019  heaviest cycle: 28 relations
  173. Tue Jul 30 22:08:21 2019  RelProcTime: 3086
  174. Tue Jul 30 22:08:21 2019  
  175. Tue Jul 30 22:08:21 2019  commencing linear algebra
  176. Tue Jul 30 22:08:22 2019  read 4361052 cycles
  177. Tue Jul 30 22:08:31 2019  cycles contain 14093204 unique relations
  178. Tue Jul 30 22:09:47 2019  read 14093204 relations
  179. Tue Jul 30 22:10:04 2019  using 20 quadratic characters above 4294917295
  180. Tue Jul 30 22:10:57 2019  building initial matrix
  181. Tue Jul 30 22:13:51 2019  memory use: 1977.3 MB
  182. Tue Jul 30 22:13:53 2019  read 4361052 cycles
  183. Tue Jul 30 22:13:54 2019  matrix is 4360875 x 4361052 (2295.8 MB) with weight 704137566 (161.46/col)
  184. Tue Jul 30 22:13:54 2019  sparse part has weight 549500425 (126.00/col)
  185. Tue Jul 30 22:14:36 2019  filtering completed in 2 passes
  186. Tue Jul 30 22:14:37 2019  matrix is 4360845 x 4361022 (2295.8 MB) with weight 704135433 (161.46/col)
  187. Tue Jul 30 22:14:37 2019  sparse part has weight 549499476 (126.00/col)
  188. Tue Jul 30 22:14:47 2019  matrix starts at (0, 0)
  189. Tue Jul 30 22:14:47 2019  matrix is 4360845 x 4361022 (2295.8 MB) with weight 704135433 (161.46/col)
  190. Tue Jul 30 22:14:47 2019  sparse part has weight 549499476 (126.00/col)
  191. Tue Jul 30 22:14:47 2019  saving the first 48 matrix rows for later
  192. Tue Jul 30 22:14:48 2019  matrix includes 64 packed rows
  193. Tue Jul 30 22:14:49 2019  matrix is 4360797 x 4361022 (2247.4 MB) with weight 609482673 (139.76/col)
  194. Tue Jul 30 22:14:49 2019  sparse part has weight 545543373 (125.10/col)
  195. Tue Jul 30 22:14:49 2019  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  196. Tue Jul 30 22:15:05 2019  commencing Lanczos iteration (4 threads)
  197. Tue Jul 30 22:15:05 2019  memory use: 2066.0 MB
  198. Tue Jul 30 22:15:21 2019  linear algebra at 0.0%, ETA 12h50m
  199. Tue Jul 30 22:15:26 2019  checkpointing every 350000 dimensions
  200. Wed Jul 31 09:59:27 2019  lanczos halted after 68963 iterations (dim = 4360794)
  201. Wed Jul 31 09:59:33 2019  recovered 27 nontrivial dependencies
  202. Wed Jul 31 09:59:33 2019  BLanczosTime: 42672
  203. Wed Jul 31 09:59:33 2019  
  204. Wed Jul 31 09:59:33 2019  commencing square root phase
  205. Wed Jul 31 09:59:33 2019  handling dependencies 1 to 64
  206. Wed Jul 31 09:59:33 2019  reading relations for dependency 1
  207. Wed Jul 31 09:59:33 2019  read 2181383 cycles
  208. Wed Jul 31 09:59:36 2019  cycles contain 7048252 unique relations
  209. Wed Jul 31 10:00:22 2019  read 7048252 relations
  210. Wed Jul 31 10:00:47 2019  multiplying 7048252 relations
  211. Wed Jul 31 10:10:03 2019  multiply complete, coefficients have about 421.84 million bits
  212. Wed Jul 31 10:10:05 2019  initial square root is modulo 37083281
  213. Wed Jul 31 10:21:04 2019  sqrtTime: 1291
  214. Wed Jul 31 10:21:04 2019  p66 factor: 617238874349350594060874296737497534801366394533051480957611400491
  215. Wed Jul 31 10:21:04 2019  p95 factor: 57216446519829766226035074747068602657124206368422045288207219991235756142166076369447321225169
  216. Wed Jul 31 10:21:04 2019  elapsed time 13:04:10
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