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C174_150332843_31m1

a guest Nov 6th, 2018 84 Never
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  1. Tue Oct 30 17:59:56 2018  
  2. Tue Oct 30 17:59:56 2018  Msieve v. 1.54 (SVN 1025)
  3. Tue Oct 30 17:59:56 2018  random seeds: 20424699 ec6223d6
  4. Tue Oct 30 17:59:56 2018  factoring 506400363046308353439600173177334163974751694986762018401483647382817597166227568159799933286636548185887547878078502650464630621022114612117527193750213543297833143491972909 (174 digits)
  5. Tue Oct 30 17:59:57 2018  searching for 15-digit factors
  6. Tue Oct 30 17:59:57 2018  commencing number field sieve (174-digit input)
  7. Tue Oct 30 17:59:57 2018  R0: -3587858886563646152364846998066749
  8. Tue Oct 30 17:59:57 2018  R1: 76620967035613627
  9. Tue Oct 30 17:59:57 2018  A0: -15040986183144149409812872979851743912032100
  10. Tue Oct 30 17:59:57 2018  A1: -2594741531592797741887371968876311500
  11. Tue Oct 30 17:59:57 2018  A2: -42748657418937597361356013261
  12. Tue Oct 30 17:59:57 2018  A3: 4105769941611333279320
  13. Tue Oct 30 17:59:57 2018  A4: -40776010956444
  14. Tue Oct 30 17:59:57 2018  A5: 851760
  15. Tue Oct 30 17:59:57 2018  skew 1.00, size 4.784e-17, alpha -8.218, combined = 6.077e-16 rroots = 3
  16. Tue Oct 30 17:59:57 2018  
  17. Tue Oct 30 17:59:57 2018  commencing relation filtering
  18. Tue Oct 30 17:59:57 2018  setting max relations to 344000000
  19. Tue Oct 30 17:59:57 2018  setting target matrix density to 132.0
  20. Tue Oct 30 17:59:57 2018  setting max relations to 0
  21. Tue Oct 30 17:59:57 2018  setting large prime bound to 344000000
  22. Tue Oct 30 17:59:57 2018  estimated available RAM is 15984.7 MB
  23. Tue Oct 30 17:59:57 2018  commencing duplicate removal, pass 1
  24. Tue Oct 30 18:11:36 2018  error -15 reading relation 100721490
  25. Tue Oct 30 18:11:41 2018  error -1 reading relation 101507481
  26. [ . . . deleted 24,000 lines - mostly -1 & -11 errors . . . ]
  27. Tue Oct 30 18:39:17 2018  error -15 reading relation 339462522
  28. Tue Oct 30 18:41:54 2018  error -5 reading relation 361832057
  29. Tue Oct 30 18:42:00 2018  skipped 166 relations with b > 2^32
  30. Tue Oct 30 18:42:00 2018  skipped 2788 relations with composite factors
  31. Tue Oct 30 18:42:00 2018  found 27460678 hash collisions in 362735578 relations
  32. Tue Oct 30 18:42:26 2018  commencing duplicate removal, pass 2
  33. Tue Oct 30 18:43:59 2018  found 62 duplicates and 362735516 unique relations
  34. Tue Oct 30 18:43:59 2018  memory use: 1321.5 MB
  35. Tue Oct 30 18:43:59 2018  reading ideals above 344000000
  36. Tue Oct 30 18:43:59 2018  commencing singleton removal, initial pass
  37. Tue Oct 30 19:14:06 2018  memory use: 6024.0 MB
  38. Tue Oct 30 19:14:07 2018  reading all ideals from disk
  39. Tue Oct 30 19:14:19 2018  memory use: 5767.7 MB
  40. Tue Oct 30 19:14:32 2018  commencing in-memory singleton removal
  41. Tue Oct 30 19:14:44 2018  begin with 362735516 relations and 292348917 unique ideals
  42. Tue Oct 30 19:16:58 2018  reduce to 226502285 relations and 141096332 ideals in 14 passes
  43. Tue Oct 30 19:16:58 2018  max relations containing the same ideal: 21
  44. Tue Oct 30 19:17:08 2018  reading ideals above 720000
  45. Tue Oct 30 19:17:09 2018  commencing singleton removal, initial pass
  46. Tue Oct 30 19:41:16 2018  memory use: 5512.0 MB
  47. Tue Oct 30 19:41:16 2018  reading large ideals from disk
  48. Tue Oct 30 19:42:50 2018  keeping 160033803 ideals with weight <= 20, target excess is 18042698
  49. Tue Oct 30 19:44:25 2018  memory use: 5236.5 MB
  50. Tue Oct 30 19:44:25 2018  commencing in-memory singleton removal
  51. Tue Oct 30 19:44:31 2018  begin with 226502285 relations and 160033803 unique ideals
  52. Tue Oct 30 19:46:08 2018  reduce to 226269197 relations and 159800670 ideals in 13 passes
  53. Tue Oct 30 19:46:08 2018  max relations containing the same ideal: 20
  54. Tue Oct 30 19:46:53 2018  removing 12147541 relations and 10147541 ideals in 2000000 cliques
  55. Tue Oct 30 19:46:56 2018  commencing in-memory singleton removal
  56. Tue Oct 30 19:47:02 2018  begin with 214121656 relations and 159800670 unique ideals
  57. Tue Oct 30 19:48:05 2018  reduce to 213584518 relations and 149109524 ideals in 9 passes
  58. Tue Oct 30 19:48:05 2018  max relations containing the same ideal: 20
  59. Tue Oct 30 19:48:47 2018  removing 9011229 relations and 7011229 ideals in 2000000 cliques
  60. Tue Oct 30 19:48:50 2018  commencing in-memory singleton removal
  61. Tue Oct 30 19:48:55 2018  begin with 204573289 relations and 149109524 unique ideals
  62. Tue Oct 30 19:49:48 2018  reduce to 204220959 relations and 141742267 ideals in 8 passes
  63. Tue Oct 30 19:49:48 2018  max relations containing the same ideal: 20
  64. Tue Oct 30 19:50:28 2018  removing 8090414 relations and 6090414 ideals in 2000000 cliques
  65. Tue Oct 30 19:50:31 2018  commencing in-memory singleton removal
  66. Tue Oct 30 19:50:36 2018  begin with 196130545 relations and 141742267 unique ideals
  67. Tue Oct 30 19:51:20 2018  reduce to 195829749 relations and 135347996 ideals in 7 passes
  68. Tue Oct 30 19:51:20 2018  max relations containing the same ideal: 20
  69. Tue Oct 30 19:51:58 2018  removing 7589586 relations and 5589586 ideals in 2000000 cliques
  70. Tue Oct 30 19:52:01 2018  commencing in-memory singleton removal
  71. Tue Oct 30 19:52:05 2018  begin with 188240163 relations and 135347996 unique ideals
  72. Tue Oct 30 19:52:47 2018  reduce to 187966554 relations and 129481966 ideals in 7 passes
  73. Tue Oct 30 19:52:47 2018  max relations containing the same ideal: 20
  74. Tue Oct 30 19:53:24 2018  removing 7264085 relations and 5264085 ideals in 2000000 cliques
  75. Tue Oct 30 19:53:27 2018  commencing in-memory singleton removal
  76. Tue Oct 30 19:53:31 2018  begin with 180702469 relations and 129481966 unique ideals
  77. Tue Oct 30 19:54:22 2018  reduce to 180436947 relations and 123949575 ideals in 9 passes
  78. Tue Oct 30 19:54:22 2018  max relations containing the same ideal: 20
  79. Tue Oct 30 19:54:57 2018  removing 7101200 relations and 5101200 ideals in 2000000 cliques
  80. Tue Oct 30 19:55:00 2018  commencing in-memory singleton removal
  81. Tue Oct 30 19:55:04 2018  begin with 173335747 relations and 123949575 unique ideals
  82. Tue Oct 30 19:55:47 2018  reduce to 173094316 relations and 118604341 ideals in 8 passes
  83. Tue Oct 30 19:55:47 2018  max relations containing the same ideal: 20
  84. Tue Oct 30 19:56:21 2018  removing 6857637 relations and 4857637 ideals in 2000000 cliques
  85. Tue Oct 30 19:56:23 2018  commencing in-memory singleton removal
  86. Tue Oct 30 19:56:27 2018  begin with 166236679 relations and 118604341 unique ideals
  87. Tue Oct 30 19:57:08 2018  reduce to 165985583 relations and 113492720 ideals in 8 passes
  88. Tue Oct 30 19:57:08 2018  max relations containing the same ideal: 20
  89. Tue Oct 30 19:57:41 2018  removing 6756786 relations and 4756786 ideals in 2000000 cliques
  90. Tue Oct 30 19:57:43 2018  commencing in-memory singleton removal
  91. Tue Oct 30 19:57:47 2018  begin with 159228797 relations and 113492720 unique ideals
  92. Tue Oct 30 19:58:24 2018  reduce to 158982689 relations and 108486875 ideals in 8 passes
  93. Tue Oct 30 19:58:24 2018  max relations containing the same ideal: 20
  94. Tue Oct 30 19:58:55 2018  removing 6626765 relations and 4626765 ideals in 2000000 cliques
  95. Tue Oct 30 19:58:58 2018  commencing in-memory singleton removal
  96. Tue Oct 30 19:59:01 2018  begin with 152355924 relations and 108486875 unique ideals
  97. Tue Oct 30 19:59:33 2018  reduce to 152107402 relations and 103608450 ideals in 7 passes
  98. Tue Oct 30 19:59:33 2018  max relations containing the same ideal: 20
  99. Tue Oct 30 20:00:03 2018  removing 6566726 relations and 4566726 ideals in 2000000 cliques
  100. Tue Oct 30 20:00:05 2018  commencing in-memory singleton removal
  101. Tue Oct 30 20:00:08 2018  begin with 145540676 relations and 103608450 unique ideals
  102. Tue Oct 30 20:00:38 2018  reduce to 145288459 relations and 98786193 ideals in 7 passes
  103. Tue Oct 30 20:00:38 2018  max relations containing the same ideal: 20
  104. Tue Oct 30 20:01:07 2018  removing 6506714 relations and 4506714 ideals in 2000000 cliques
  105. Tue Oct 30 20:01:09 2018  commencing in-memory singleton removal
  106. Tue Oct 30 20:01:12 2018  begin with 138781745 relations and 98786193 unique ideals
  107. Tue Oct 30 20:01:44 2018  reduce to 138526658 relations and 94020909 ideals in 8 passes
  108. Tue Oct 30 20:01:44 2018  max relations containing the same ideal: 20
  109. Tue Oct 30 20:02:12 2018  removing 6411463 relations and 4411463 ideals in 2000000 cliques
  110. Tue Oct 30 20:02:14 2018  commencing in-memory singleton removal
  111. Tue Oct 30 20:02:17 2018  begin with 132115195 relations and 94020909 unique ideals
  112. Tue Oct 30 20:02:47 2018  reduce to 131847710 relations and 89338008 ideals in 8 passes
  113. Tue Oct 30 20:02:47 2018  max relations containing the same ideal: 20
  114. Tue Oct 30 20:03:13 2018  removing 6445815 relations and 4445815 ideals in 2000000 cliques
  115. Tue Oct 30 20:03:15 2018  commencing in-memory singleton removal
  116. Tue Oct 30 20:03:18 2018  begin with 125401895 relations and 89338008 unique ideals
  117. Tue Oct 30 20:03:46 2018  reduce to 125138682 relations and 84624917 ideals in 8 passes
  118. Tue Oct 30 20:03:46 2018  max relations containing the same ideal: 20
  119. Tue Oct 30 20:04:11 2018  removing 6364696 relations and 4364696 ideals in 2000000 cliques
  120. Tue Oct 30 20:04:13 2018  commencing in-memory singleton removal
  121. Tue Oct 30 20:04:16 2018  begin with 118773986 relations and 84624917 unique ideals
  122. Tue Oct 30 20:04:43 2018  reduce to 118503870 relations and 79985812 ideals in 8 passes
  123. Tue Oct 30 20:04:43 2018  max relations containing the same ideal: 20
  124. Tue Oct 30 20:05:06 2018  removing 6281073 relations and 4281073 ideals in 2000000 cliques
  125. Tue Oct 30 20:05:08 2018  commencing in-memory singleton removal
  126. Tue Oct 30 20:05:10 2018  begin with 112222797 relations and 79985812 unique ideals
  127. Tue Oct 30 20:05:35 2018  reduce to 111896000 relations and 75372335 ideals in 8 passes
  128. Tue Oct 30 20:05:35 2018  max relations containing the same ideal: 20
  129. Tue Oct 30 20:05:58 2018  removing 6315587 relations and 4315587 ideals in 2000000 cliques
  130. Tue Oct 30 20:06:00 2018  commencing in-memory singleton removal
  131. Tue Oct 30 20:06:02 2018  begin with 105580413 relations and 75372335 unique ideals
  132. Tue Oct 30 20:06:25 2018  reduce to 105258951 relations and 70729385 ideals in 8 passes
  133. Tue Oct 30 20:06:25 2018  max relations containing the same ideal: 20
  134. Tue Oct 30 20:06:46 2018  removing 6358504 relations and 4358504 ideals in 2000000 cliques
  135. Tue Oct 30 20:06:48 2018  commencing in-memory singleton removal
  136. Tue Oct 30 20:06:50 2018  begin with 98900447 relations and 70729385 unique ideals
  137. Tue Oct 30 20:07:12 2018  reduce to 98579228 relations and 66043264 ideals in 8 passes
  138. Tue Oct 30 20:07:12 2018  max relations containing the same ideal: 20
  139. Tue Oct 30 20:07:32 2018  removing 6362962 relations and 4362962 ideals in 2000000 cliques
  140. Tue Oct 30 20:07:33 2018  commencing in-memory singleton removal
  141. Tue Oct 30 20:07:35 2018  begin with 92216266 relations and 66043264 unique ideals
  142. Tue Oct 30 20:07:55 2018  reduce to 91887952 relations and 61345379 ideals in 8 passes
  143. Tue Oct 30 20:07:55 2018  max relations containing the same ideal: 19
  144. Tue Oct 30 20:08:14 2018  removing 6167326 relations and 4167326 ideals in 2000000 cliques
  145. Tue Oct 30 20:08:15 2018  commencing in-memory singleton removal
  146. Tue Oct 30 20:08:17 2018  begin with 85720626 relations and 61345379 unique ideals
  147. Tue Oct 30 20:08:35 2018  reduce to 85278522 relations and 56725941 ideals in 8 passes
  148. Tue Oct 30 20:08:35 2018  max relations containing the same ideal: 18
  149. Tue Oct 30 20:08:52 2018  removing 6422132 relations and 4422132 ideals in 2000000 cliques
  150. Tue Oct 30 20:08:54 2018  commencing in-memory singleton removal
  151. Tue Oct 30 20:08:56 2018  begin with 78856390 relations and 56725941 unique ideals
  152. Tue Oct 30 20:09:14 2018  reduce to 78475410 relations and 51914089 ideals in 9 passes
  153. Tue Oct 30 20:09:14 2018  max relations containing the same ideal: 18
  154. Tue Oct 30 20:09:30 2018  removing 6336024 relations and 4336024 ideals in 2000000 cliques
  155. Tue Oct 30 20:09:32 2018  commencing in-memory singleton removal
  156. Tue Oct 30 20:09:33 2018  begin with 72139386 relations and 51914089 unique ideals
  157. Tue Oct 30 20:09:49 2018  reduce to 71681241 relations and 47108288 ideals in 9 passes
  158. Tue Oct 30 20:09:49 2018  max relations containing the same ideal: 17
  159. Tue Oct 30 20:10:04 2018  removing 6283391 relations and 4283391 ideals in 2000000 cliques
  160. Tue Oct 30 20:10:06 2018  commencing in-memory singleton removal
  161. Tue Oct 30 20:10:07 2018  begin with 65397850 relations and 47108288 unique ideals
  162. Tue Oct 30 20:10:20 2018  reduce to 64868496 relations and 42280679 ideals in 8 passes
  163. Tue Oct 30 20:10:20 2018  max relations containing the same ideal: 17
  164. Tue Oct 30 20:10:33 2018  removing 5341119 relations and 3682832 ideals in 1658287 cliques
  165. Tue Oct 30 20:10:35 2018  commencing in-memory singleton removal
  166. Tue Oct 30 20:10:36 2018  begin with 59527377 relations and 42280679 unique ideals
  167. Tue Oct 30 20:10:50 2018  reduce to 59081398 relations and 38139503 ideals in 10 passes
  168. Tue Oct 30 20:10:50 2018  max relations containing the same ideal: 16
  169. Tue Oct 30 20:11:02 2018  removing 40020 relations and 27655 ideals in 12365 cliques
  170. Tue Oct 30 20:11:03 2018  commencing in-memory singleton removal
  171. Tue Oct 30 20:11:04 2018  begin with 59041378 relations and 38139503 unique ideals
  172. Tue Oct 30 20:11:11 2018  reduce to 59041263 relations and 38111733 ideals in 5 passes
  173. Tue Oct 30 20:11:11 2018  max relations containing the same ideal: 16
  174. Tue Oct 30 20:11:13 2018  relations with 0 large ideals: 4850809
  175. Tue Oct 30 20:11:13 2018  relations with 1 large ideals: 19211458
  176. Tue Oct 30 20:11:13 2018  relations with 2 large ideals: 23464942
  177. Tue Oct 30 20:11:13 2018  relations with 3 large ideals: 9920619
  178. Tue Oct 30 20:11:13 2018  relations with 4 large ideals: 1498306
  179. Tue Oct 30 20:11:13 2018  relations with 5 large ideals: 91398
  180. Tue Oct 30 20:11:13 2018  relations with 6 large ideals: 3694
  181. Tue Oct 30 20:11:13 2018  relations with 7+ large ideals: 37
  182. Tue Oct 30 20:11:13 2018  commencing 2-way merge
  183. Tue Oct 30 20:11:28 2018  reduce to 34412628 relation sets and 13483098 unique ideals
  184. Tue Oct 30 20:11:28 2018  commencing full merge
  185. Tue Oct 30 20:12:31 2018  memory use: 1403.6 MB
  186. Tue Oct 30 20:12:33 2018  found 20888042 cycles, need 18042898
  187. Tue Oct 30 20:12:37 2018  weight of 18042898 cycles is about 1111450084 (61.60/cycle)
  188. Tue Oct 30 20:12:38 2018  distribution of cycle lengths:
  189. Tue Oct 30 20:12:38 2018  1 relations: 4850809
  190. Tue Oct 30 20:12:38 2018  2 relations: 2356582
  191. Tue Oct 30 20:12:38 2018  3 relations: 1795980
  192. Tue Oct 30 20:12:38 2018  4 relations: 1558037
  193. Tue Oct 30 20:12:38 2018  5 relations: 1434265
  194. Tue Oct 30 20:12:38 2018  6 relations: 1300289
  195. Tue Oct 30 20:12:38 2018  7 relations: 1179413
  196. Tue Oct 30 20:12:38 2018  8 relations: 1039948
  197. Tue Oct 30 20:12:38 2018  9 relations: 896345
  198. Tue Oct 30 20:12:38 2018  10+ relations: 1631230
  199. Tue Oct 30 20:12:38 2018  heaviest cycle: 14 relations
  200. Tue Oct 30 20:12:38 2018  matrix not dense enough, retrying
  201. Tue Oct 30 20:12:39 2018  reading large ideals from disk
  202. Tue Oct 30 20:14:05 2018  keeping 162613791 ideals with weight <= 25, target excess is 15462710
  203. Tue Oct 30 20:15:30 2018  memory use: 5236.5 MB
  204. Tue Oct 30 20:15:30 2018  commencing in-memory singleton removal
  205. Tue Oct 30 20:15:37 2018  begin with 226502285 relations and 162613791 unique ideals
  206. Tue Oct 30 20:17:24 2018  reduce to 226269197 relations and 162380658 ideals in 13 passes
  207. Tue Oct 30 20:17:24 2018  max relations containing the same ideal: 25
  208. Tue Oct 30 20:18:11 2018  removing 12247011 relations and 10247011 ideals in 2000000 cliques
  209. Tue Oct 30 20:18:15 2018  commencing in-memory singleton removal
  210. Tue Oct 30 20:18:21 2018  begin with 214022186 relations and 162380658 unique ideals
  211. Tue Oct 30 20:19:30 2018  reduce to 213491162 relations and 151596196 ideals in 9 passes
  212. Tue Oct 30 20:19:30 2018  max relations containing the same ideal: 25
  213. Tue Oct 30 20:20:14 2018  removing 9116739 relations and 7116739 ideals in 2000000 cliques
  214. Tue Oct 30 20:20:18 2018  commencing in-memory singleton removal
  215. Tue Oct 30 20:20:23 2018  begin with 204374423 relations and 151596196 unique ideals
  216. Tue Oct 30 20:21:21 2018  reduce to 204030199 relations and 144131661 ideals in 8 passes
  217. Tue Oct 30 20:21:21 2018  max relations containing the same ideal: 25
  218. Tue Oct 30 20:22:03 2018  removing 8162046 relations and 6162046 ideals in 2000000 cliques
  219. Tue Oct 30 20:22:06 2018  commencing in-memory singleton removal
  220. Tue Oct 30 20:22:11 2018  begin with 195868153 relations and 144131661 unique ideals
  221. Tue Oct 30 20:22:59 2018  reduce to 195572556 relations and 137671005 ideals in 7 passes
  222. Tue Oct 30 20:22:59 2018  max relations containing the same ideal: 25
  223. Tue Oct 30 20:23:39 2018  removing 7653861 relations and 5653861 ideals in 2000000 cliques
  224. Tue Oct 30 20:23:42 2018  commencing in-memory singleton removal
  225. Tue Oct 30 20:23:47 2018  begin with 187918695 relations and 137671005 unique ideals
  226. Tue Oct 30 20:24:37 2018  reduce to 187649207 relations and 131744942 ideals in 8 passes
  227. Tue Oct 30 20:24:37 2018  max relations containing the same ideal: 25
  228. Tue Oct 30 20:25:15 2018  removing 7344301 relations and 5344301 ideals in 2000000 cliques
  229. Tue Oct 30 20:25:17 2018  commencing in-memory singleton removal
  230. Tue Oct 30 20:25:22 2018  begin with 180304906 relations and 131744942 unique ideals
  231. Tue Oct 30 20:26:10 2018  reduce to 180051029 relations and 126144134 ideals in 8 passes
  232. Tue Oct 30 20:26:10 2018  max relations containing the same ideal: 25
  233. Tue Oct 30 20:26:46 2018  removing 7074562 relations and 5074562 ideals in 2000000 cliques
  234. Tue Oct 30 20:26:49 2018  commencing in-memory singleton removal
  235. Tue Oct 30 20:26:53 2018  begin with 172976467 relations and 126144134 unique ideals
  236. Tue Oct 30 20:27:39 2018  reduce to 172724647 relations and 120814955 ideals in 8 passes
  237. Tue Oct 30 20:27:39 2018  max relations containing the same ideal: 25
  238. Tue Oct 30 20:28:14 2018  removing 6943136 relations and 4943136 ideals in 2000000 cliques
  239. Tue Oct 30 20:28:17 2018  commencing in-memory singleton removal
  240. Tue Oct 30 20:28:21 2018  begin with 165781511 relations and 120814955 unique ideals
  241. Tue Oct 30 20:28:59 2018  reduce to 165542333 relations and 115629967 ideals in 7 passes
  242. Tue Oct 30 20:28:59 2018  max relations containing the same ideal: 25
  243. Tue Oct 30 20:29:34 2018  removing 6763907 relations and 4763907 ideals in 2000000 cliques
  244. Tue Oct 30 20:29:36 2018  commencing in-memory singleton removal
  245. Tue Oct 30 20:29:40 2018  begin with 158778426 relations and 115629967 unique ideals
  246. Tue Oct 30 20:30:22 2018  reduce to 158532149 relations and 110616954 ideals in 8 passes
  247. Tue Oct 30 20:30:22 2018  max relations containing the same ideal: 25
  248. Tue Oct 30 20:30:56 2018  removing 6697780 relations and 4697780 ideals in 2000000 cliques
  249. Tue Oct 30 20:30:58 2018  commencing in-memory singleton removal
  250. Tue Oct 30 20:31:02 2018  begin with 151834369 relations and 110616954 unique ideals
  251. Tue Oct 30 20:31:42 2018  reduce to 151589213 relations and 105670947 ideals in 8 passes
  252. Tue Oct 30 20:31:42 2018  max relations containing the same ideal: 25
  253. Tue Oct 30 20:32:13 2018  removing 6577149 relations and 4577149 ideals in 2000000 cliques
  254. Tue Oct 30 20:32:16 2018  commencing in-memory singleton removal
  255. Tue Oct 30 20:32:19 2018  begin with 145012064 relations and 105670947 unique ideals
  256. Tue Oct 30 20:32:52 2018  reduce to 144763385 relations and 100841894 ideals in 7 passes
  257. Tue Oct 30 20:32:52 2018  max relations containing the same ideal: 25
  258. Tue Oct 30 20:33:22 2018  removing 6548376 relations and 4548376 ideals in 2000000 cliques
  259. Tue Oct 30 20:33:25 2018  commencing in-memory singleton removal
  260. Tue Oct 30 20:33:28 2018  begin with 138215009 relations and 100841894 unique ideals
  261. Tue Oct 30 20:33:59 2018  reduce to 137966504 relations and 96041608 ideals in 7 passes
  262. Tue Oct 30 20:33:59 2018  max relations containing the same ideal: 25
  263. Tue Oct 30 20:34:27 2018  removing 6509502 relations and 4509502 ideals in 2000000 cliques
  264. Tue Oct 30 20:34:30 2018  commencing in-memory singleton removal
  265. Tue Oct 30 20:34:33 2018  begin with 131457002 relations and 96041608 unique ideals
  266. Tue Oct 30 20:35:02 2018  reduce to 131203349 relations and 91274768 ideals in 7 passes
  267. Tue Oct 30 20:35:02 2018  max relations containing the same ideal: 24
  268. Tue Oct 30 20:35:29 2018  removing 6439195 relations and 4439195 ideals in 2000000 cliques
  269. Tue Oct 30 20:35:31 2018  commencing in-memory singleton removal
  270. Tue Oct 30 20:35:34 2018  begin with 124764154 relations and 91274768 unique ideals
  271. Tue Oct 30 20:36:01 2018  reduce to 124500951 relations and 86568431 ideals in 7 passes
  272. Tue Oct 30 20:36:01 2018  max relations containing the same ideal: 24
  273. Tue Oct 30 20:36:27 2018  removing 6382654 relations and 4382654 ideals in 2000000 cliques
  274. Tue Oct 30 20:36:29 2018  commencing in-memory singleton removal
  275. Tue Oct 30 20:36:32 2018  begin with 118118297 relations and 86568431 unique ideals
  276. Tue Oct 30 20:37:00 2018  reduce to 117838046 relations and 81901016 ideals in 8 passes
  277. Tue Oct 30 20:37:00 2018  max relations containing the same ideal: 24
  278. Tue Oct 30 20:37:25 2018  removing 6377013 relations and 4377013 ideals in 2000000 cliques
  279. Tue Oct 30 20:37:27 2018  commencing in-memory singleton removal
  280. Tue Oct 30 20:37:29 2018  begin with 111461033 relations and 81901016 unique ideals
  281. Tue Oct 30 20:37:56 2018  reduce to 111168965 relations and 77227002 ideals in 8 passes
  282. Tue Oct 30 20:37:56 2018  max relations containing the same ideal: 24
  283. Tue Oct 30 20:38:19 2018  removing 6416602 relations and 4416602 ideals in 2000000 cliques
  284. Tue Oct 30 20:38:21 2018  commencing in-memory singleton removal
  285. Tue Oct 30 20:38:24 2018  begin with 104752363 relations and 77227002 unique ideals
  286. Tue Oct 30 20:38:45 2018  reduce to 104462685 relations and 72515502 ideals in 7 passes
  287. Tue Oct 30 20:38:45 2018  max relations containing the same ideal: 23
  288. Tue Oct 30 20:39:07 2018  removing 6351551 relations and 4351551 ideals in 2000000 cliques
  289. Tue Oct 30 20:39:09 2018  commencing in-memory singleton removal
  290. Tue Oct 30 20:39:11 2018  begin with 98111134 relations and 72515502 unique ideals
  291. Tue Oct 30 20:39:34 2018  reduce to 97802548 relations and 67849644 ideals in 8 passes
  292. Tue Oct 30 20:39:34 2018  max relations containing the same ideal: 22
  293. Tue Oct 30 20:39:54 2018  removing 6364472 relations and 4364472 ideals in 2000000 cliques
  294. Tue Oct 30 20:39:56 2018  commencing in-memory singleton removal
  295. Tue Oct 30 20:39:57 2018  begin with 91438076 relations and 67849644 unique ideals
  296. Tue Oct 30 20:40:18 2018  reduce to 91098181 relations and 63138542 ideals in 8 passes
  297. Tue Oct 30 20:40:18 2018  max relations containing the same ideal: 22
  298. Tue Oct 30 20:40:37 2018  removing 6307736 relations and 4307736 ideals in 2000000 cliques
  299. Tue Oct 30 20:40:39 2018  commencing in-memory singleton removal
  300. Tue Oct 30 20:40:40 2018  begin with 84790445 relations and 63138542 unique ideals
  301. Tue Oct 30 20:41:02 2018  reduce to 84394073 relations and 58425586 ideals in 9 passes
  302. Tue Oct 30 20:41:02 2018  max relations containing the same ideal: 22
  303. Tue Oct 30 20:41:19 2018  removing 6392589 relations and 4392589 ideals in 2000000 cliques
  304. Tue Oct 30 20:41:21 2018  commencing in-memory singleton removal
  305. Tue Oct 30 20:41:22 2018  begin with 78001484 relations and 58425586 unique ideals
  306. Tue Oct 30 20:41:40 2018  reduce to 77607872 relations and 53630147 ideals in 8 passes
  307. Tue Oct 30 20:41:40 2018  max relations containing the same ideal: 21
  308. Tue Oct 30 20:41:55 2018  removing 6405939 relations and 4405939 ideals in 2000000 cliques
  309. Tue Oct 30 20:41:57 2018  commencing in-memory singleton removal
  310. Tue Oct 30 20:41:58 2018  begin with 71201933 relations and 53630147 unique ideals
  311. Tue Oct 30 20:42:14 2018  reduce to 70776413 relations and 48787775 ideals in 8 passes
  312. Tue Oct 30 20:42:14 2018  max relations containing the same ideal: 20
  313. Tue Oct 30 20:42:28 2018  removing 6455095 relations and 4455095 ideals in 2000000 cliques
  314. Tue Oct 30 20:42:29 2018  commencing in-memory singleton removal
  315. Tue Oct 30 20:42:31 2018  begin with 64321318 relations and 48787775 unique ideals
  316. Tue Oct 30 20:42:48 2018  reduce to 63838313 relations and 43836554 ideals in 10 passes
  317. Tue Oct 30 20:42:48 2018  max relations containing the same ideal: 20
  318. Tue Oct 30 20:43:00 2018  removing 6440765 relations and 4440765 ideals in 2000000 cliques
  319. Tue Oct 30 20:43:02 2018  commencing in-memory singleton removal
  320. Tue Oct 30 20:43:03 2018  begin with 57397548 relations and 43836554 unique ideals
  321. Tue Oct 30 20:43:15 2018  reduce to 56821738 relations and 38802762 ideals in 8 passes
  322. Tue Oct 30 20:43:15 2018  max relations containing the same ideal: 19
  323. Tue Oct 30 20:43:25 2018  removing 295235 relations and 213003 ideals in 82232 cliques
  324. Tue Oct 30 20:43:26 2018  commencing in-memory singleton removal
  325. Tue Oct 30 20:43:27 2018  begin with 56526503 relations and 38802762 unique ideals
  326. Tue Oct 30 20:43:36 2018  reduce to 56522536 relations and 38585786 ideals in 6 passes
  327. Tue Oct 30 20:43:36 2018  max relations containing the same ideal: 19
  328. Tue Oct 30 20:43:38 2018  relations with 0 large ideals: 3303466
  329. Tue Oct 30 20:43:38 2018  relations with 1 large ideals: 14789562
  330. Tue Oct 30 20:43:38 2018  relations with 2 large ideals: 21919217
  331. Tue Oct 30 20:43:38 2018  relations with 3 large ideals: 12878033
  332. Tue Oct 30 20:43:38 2018  relations with 4 large ideals: 3229636
  333. Tue Oct 30 20:43:38 2018  relations with 5 large ideals: 376474
  334. Tue Oct 30 20:43:38 2018  relations with 6 large ideals: 25132
  335. Tue Oct 30 20:43:38 2018  relations with 7+ large ideals: 1016
  336. Tue Oct 30 20:43:38 2018  commencing 2-way merge
  337. Tue Oct 30 20:43:52 2018  reduce to 33639368 relation sets and 15702618 unique ideals
  338. Tue Oct 30 20:43:52 2018  commencing full merge
  339. Tue Oct 30 20:45:26 2018  memory use: 1556.3 MB
  340. Tue Oct 30 20:45:28 2018  found 17323456 cycles, need 15510910
  341. Tue Oct 30 20:45:31 2018  weight of 15510910 cycles is about 1540826540 (99.34/cycle)
  342. Tue Oct 30 20:45:31 2018  distribution of cycle lengths:
  343. Tue Oct 30 20:45:31 2018  1 relations: 3303466
  344. Tue Oct 30 20:45:31 2018  2 relations: 1489221
  345. Tue Oct 30 20:45:31 2018  3 relations: 1078080
  346. Tue Oct 30 20:45:31 2018  4 relations: 914506
  347. Tue Oct 30 20:45:31 2018  5 relations: 849397
  348. Tue Oct 30 20:45:31 2018  6 relations: 801141
  349. Tue Oct 30 20:45:31 2018  7 relations: 774157
  350. Tue Oct 30 20:45:31 2018  8 relations: 740279
  351. Tue Oct 30 20:45:31 2018  9 relations: 709529
  352. Tue Oct 30 20:45:31 2018  10+ relations: 4851134
  353. Tue Oct 30 20:45:31 2018  heaviest cycle: 22 relations
  354. Tue Oct 30 20:45:32 2018  commencing cycle optimization
  355. Tue Oct 30 20:45:48 2018  start with 107002790 relations
  356. Tue Oct 30 20:47:39 2018  pruned 10429234 relations
  357. Tue Oct 30 20:47:40 2018  memory use: 2924.7 MB
  358. Tue Oct 30 20:47:40 2018  distribution of cycle lengths:
  359. Tue Oct 30 20:47:40 2018  1 relations: 3303466
  360. Tue Oct 30 20:47:40 2018  2 relations: 1547356
  361. Tue Oct 30 20:47:40 2018  3 relations: 1151590
  362. Tue Oct 30 20:47:40 2018  4 relations: 995457
  363. Tue Oct 30 20:47:40 2018  5 relations: 953704
  364. Tue Oct 30 20:47:40 2018  6 relations: 918957
  365. Tue Oct 30 20:47:40 2018  7 relations: 905302
  366. Tue Oct 30 20:47:40 2018  8 relations: 870042
  367. Tue Oct 30 20:47:40 2018  9 relations: 833347
  368. Tue Oct 30 20:47:40 2018  10+ relations: 4031689
  369. Tue Oct 30 20:47:40 2018  heaviest cycle: 22 relations
  370. Tue Oct 30 20:47:54 2018  RelProcTime: 10077
  371. Tue Oct 30 20:47:57 2018  
  372. Tue Oct 30 20:47:57 2018  commencing linear algebra
  373. Tue Oct 30 20:47:58 2018  read 15510910 cycles
  374. Tue Oct 30 20:48:17 2018  cycles contain 47115183 unique relations
  375. Tue Oct 30 20:52:05 2018  read 47115183 relations
  376. Tue Oct 30 20:53:05 2018  using 20 quadratic characters above 4294917295
  377. Tue Oct 30 20:55:46 2018  building initial matrix
  378. Tue Oct 30 21:02:20 2018  memory use: 6554.7 MB
  379. Tue Oct 30 21:02:25 2018  read 15510910 cycles
  380. Tue Oct 30 21:02:28 2018  matrix is 15508513 x 15510910 (5749.1 MB) with weight 1780362379 (114.78/col)
  381. Tue Oct 30 21:02:28 2018  sparse part has weight 1320960281 (85.16/col)
  382. Tue Oct 30 21:05:57 2018  filtering completed in 3 passes
  383. Tue Oct 30 21:06:00 2018  matrix is 15454027 x 15454227 (5737.4 MB) with weight 1776435406 (114.95/col)
  384. Tue Oct 30 21:06:00 2018  sparse part has weight 1318578267 (85.32/col)
  385. Tue Oct 30 21:06:28 2018  matrix starts at (0, 0)
  386. Tue Oct 30 21:06:30 2018  matrix is 15454027 x 15454227 (5737.4 MB) with weight 1776435406 (114.95/col)
  387. Tue Oct 30 21:06:30 2018  sparse part has weight 1318578267 (85.32/col)
  388. Tue Oct 30 21:06:30 2018  saving the first 48 matrix rows for later
  389. Tue Oct 30 21:06:32 2018  matrix includes 64 packed rows
  390. Tue Oct 30 21:06:34 2018  matrix is 15453979 x 15454227 (5585.0 MB) with weight 1475753442 (95.49/col)
  391. Tue Oct 30 21:06:34 2018  sparse part has weight 1309536754 (84.74/col)
  392. Tue Oct 30 21:06:34 2018  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  393. Tue Oct 30 21:07:19 2018  commencing Lanczos iteration (4 threads)
  394. Tue Oct 30 21:07:19 2018  memory use: 5376.6 MB
  395. Tue Oct 30 21:08:19 2018  linear algebra at 0.0%, ETA 160h51m
  396. Tue Oct 30 21:08:38 2018  checkpointing every 100000 dimensions
  397. Tue Nov  6 05:17:12 2018  lanczos halted after 244382 iterations (dim = 15453977)
  398. Tue Nov  6 05:17:32 2018  recovered 29 nontrivial dependencies
  399. Tue Nov  6 05:17:32 2018  BLanczosTime: 552575
  400. Tue Nov  6 05:17:32 2018  
  401. Tue Nov  6 05:17:32 2018  commencing square root phase
  402. Tue Nov  6 05:17:32 2018  handling dependencies 64 to 1
  403. Tue Nov  6 05:17:32 2018  sqrtTime: 0
  404. Tue Nov  6 05:17:32 2018  elapsed time 156:17:36
  405. Tue Nov  6 08:03:00 2018  
  406. Tue Nov  6 08:03:00 2018  
  407. Tue Nov  6 08:03:00 2018  Msieve v. 1.54 (SVN 1025)
  408. Tue Nov  6 08:03:00 2018  random seeds: 8031d69b 606cd8d0
  409. Tue Nov  6 08:03:00 2018  factoring 506400363046308353439600173177334163974751694986762018401483647382817597166227568159799933286636548185887547878078502650464630621022114612117527193750213543297833143491972909 (174 digits)
  410. Tue Nov  6 08:03:00 2018  searching for 15-digit factors
  411. Tue Nov  6 08:03:01 2018  commencing number field sieve (174-digit input)
  412. Tue Nov  6 08:03:01 2018  R0: -3587858886563646152364846998066749
  413. Tue Nov  6 08:03:01 2018  R1: 76620967035613627
  414. Tue Nov  6 08:03:01 2018  A0: -15040986183144149409812872979851743912032100
  415. Tue Nov  6 08:03:01 2018  A1: -2594741531592797741887371968876311500
  416. Tue Nov  6 08:03:01 2018  A2: -42748657418937597361356013261
  417. Tue Nov  6 08:03:01 2018  A3: 4105769941611333279320
  418. Tue Nov  6 08:03:01 2018  A4: -40776010956444
  419. Tue Nov  6 08:03:01 2018  A5: 851760
  420. Tue Nov  6 08:03:01 2018  skew 1.00, size 4.784e-17, alpha -8.218, combined = 6.077e-16 rroots = 3
  421. Tue Nov  6 08:03:01 2018  
  422. Tue Nov  6 08:03:01 2018  commencing square root phase
  423. Tue Nov  6 08:03:01 2018  reading relations for dependency 1
  424. Tue Nov  6 08:03:02 2018  read 7725048 cycles
  425. Tue Nov  6 08:03:11 2018  cycles contain 23525506 unique relations
  426. Tue Nov  6 08:05:19 2018  read 23525506 relations
  427. Tue Nov  6 08:06:42 2018  multiplying 23525506 relations
  428. Tue Nov  6 08:32:08 2018  multiply complete, coefficients have about 1369.98 million bits
  429. Tue Nov  6 08:32:15 2018  initial square root is modulo 1397551
  430. Tue Nov  6 09:00:57 2018  GCD is N, no factor found
  431. Tue Nov  6 09:00:57 2018  reading relations for dependency 2
  432. Tue Nov  6 09:00:59 2018  read 7729162 cycles
  433. Tue Nov  6 09:01:07 2018  cycles contain 23524966 unique relations
  434. Tue Nov  6 09:03:17 2018  read 23524966 relations
  435. Tue Nov  6 09:04:39 2018  multiplying 23524966 relations
  436. Tue Nov  6 09:29:57 2018  multiply complete, coefficients have about 1369.95 million bits
  437. Tue Nov  6 09:30:04 2018  initial square root is modulo 1397131
  438. Tue Nov  6 09:58:41 2018  GCD is N, no factor found
  439. Tue Nov  6 09:58:41 2018  reading relations for dependency 3
  440. Tue Nov  6 09:58:42 2018  read 7726104 cycles
  441. Tue Nov  6 09:58:51 2018  cycles contain 23528222 unique relations
  442. Tue Nov  6 10:01:02 2018  read 23528222 relations
  443. Tue Nov  6 10:02:24 2018  multiplying 23528222 relations
  444. Tue Nov  6 10:27:50 2018  multiply complete, coefficients have about 1370.14 million bits
  445. Tue Nov  6 10:27:57 2018  initial square root is modulo 1399837
  446. Tue Nov  6 10:56:58 2018  GCD is N, no factor found
  447. Tue Nov  6 10:56:58 2018  reading relations for dependency 4
  448. Tue Nov  6 10:56:59 2018  read 7727873 cycles
  449. Tue Nov  6 10:57:08 2018  cycles contain 23524150 unique relations
  450. Tue Nov  6 10:59:17 2018  read 23524150 relations
  451. Tue Nov  6 11:00:37 2018  multiplying 23524150 relations
  452. Tue Nov  6 11:25:55 2018  multiply complete, coefficients have about 1369.89 million bits
  453. Tue Nov  6 11:26:02 2018  initial square root is modulo 1396247
  454. Tue Nov  6 11:54:49 2018  GCD is 1, no factor found
  455. Tue Nov  6 11:54:49 2018  reading relations for dependency 5
  456. Tue Nov  6 11:54:51 2018  read 7723816 cycles
  457. Tue Nov  6 11:54:59 2018  cycles contain 23520038 unique relations
  458. Tue Nov  6 11:57:37 2018  read 23520038 relations
  459. Tue Nov  6 11:59:26 2018  multiplying 23520038 relations
  460. Tue Nov  6 12:24:59 2018  multiply complete, coefficients have about 1369.67 million bits
  461. Tue Nov  6 12:25:05 2018  initial square root is modulo 1393219
  462. Tue Nov  6 12:53:57 2018  GCD is 1, no factor found
  463. Tue Nov  6 12:53:57 2018  reading relations for dependency 6
  464. Tue Nov  6 12:53:59 2018  read 7724522 cycles
  465. Tue Nov  6 12:54:08 2018  cycles contain 23528228 unique relations
  466. Tue Nov  6 12:56:26 2018  read 23528228 relations
  467. Tue Nov  6 12:57:47 2018  multiplying 23528228 relations
  468. Tue Nov  6 13:23:12 2018  multiply complete, coefficients have about 1370.13 million bits
  469. Tue Nov  6 13:23:19 2018  initial square root is modulo 1399733
  470. Tue Nov  6 13:52:23 2018  GCD is N, no factor found
  471. Tue Nov  6 13:52:23 2018  reading relations for dependency 7
  472. Tue Nov  6 13:52:25 2018  read 7726874 cycles
  473. Tue Nov  6 13:52:33 2018  cycles contain 23520504 unique relations
  474. Tue Nov  6 13:54:46 2018  read 23520504 relations
  475. Tue Nov  6 13:56:08 2018  multiplying 23520504 relations
  476. Tue Nov  6 14:21:51 2018  multiply complete, coefficients have about 1369.69 million bits
  477. Tue Nov  6 14:21:57 2018  initial square root is modulo 1393313
  478. Tue Nov  6 14:50:57 2018  sqrtTime: 24476
  479. Tue Nov  6 14:50:57 2018  p79 factor: 7478820082584285175201936029231012365372617862778343197058717682105243805972527
  480. Tue Nov  6 14:50:57 2018  p95 factor: 67711264270890594414481098486858837441954976471797240310932356283594181680118505770164605696867
  481. Tue Nov  6 14:50:57 2018  elapsed time 06:47:57
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