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8p3_750M

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  1. Tue Sep  3 19:10:12 2019  
  2. Tue Sep  3 19:10:12 2019  
  3. Tue Sep  3 19:10:12 2019  Msieve v. 1.53 (SVN 988M)
  4. Tue Sep  3 19:10:12 2019  random seeds: a1ba8b96 11b9e31c
  5. Tue Sep  3 19:10:12 2019  factoring 184297901378704001051400947472809906021306982539424534628765632569392246268068872237931555882481992079429062159719172385089952471555323821903942659019581500261176936799545001 (174 digits)
  6. Tue Sep  3 19:10:12 2019  searching for 15-digit factors
  7. Tue Sep  3 19:10:13 2019  commencing number field sieve (174-digit input)
  8. Tue Sep  3 19:10:13 2019  R0: -37778931863804450319011
  9. Tue Sep  3 19:10:13 2019  R1: 109561042308169728
  10. Tue Sep  3 19:10:13 2019  A0: 4096
  11. Tue Sep  3 19:10:13 2019  A1: 24576
  12. Tue Sep  3 19:10:13 2019  A2: 0
  13. Tue Sep  3 19:10:13 2019  A3: -20736
  14. Tue Sep  3 19:10:13 2019  A4: 2304
  15. Tue Sep  3 19:10:13 2019  A5: 5184
  16. Tue Sep  3 19:10:13 2019  A6: -1080
  17. Tue Sep  3 19:10:13 2019  A7: -324
  18. Tue Sep  3 19:10:13 2019  A8: 81
  19. Tue Sep  3 19:10:13 2019  skew 1.63, size 1.339e-05, alpha 0.235, combined = 3.062e-13 rroots = 8
  20. Tue Sep  3 19:10:13 2019  
  21. Tue Sep  3 19:10:13 2019  commencing relation filtering
  22. Tue Sep  3 19:10:13 2019  setting target matrix density to 130.0
  23. Tue Sep  3 19:10:13 2019  estimated available RAM is 32768.0 MB
  24. Tue Sep  3 19:10:13 2019  commencing duplicate removal, pass 1
  25. Tue Sep  3 19:15:22 2019  error -15 reading relation 53482087
  26. Tue Sep  3 19:18:42 2019  error -15 reading relation 87997157
  27. Tue Sep  3 19:20:51 2019  error -15 reading relation 110338730
  28. Tue Sep  3 19:25:59 2019  error -15 reading relation 163475910
  29. Tue Sep  3 19:26:25 2019  error -11 reading relation 167797212
  30. Tue Sep  3 19:29:33 2019  skipped 3 relations with b > 2^32
  31. Tue Sep  3 19:29:33 2019  skipped 65 relations with composite factors
  32. Tue Sep  3 19:29:33 2019  found 8789518 hash collisions in 200332200 relations
  33. Tue Sep  3 19:29:39 2019  added 1828678 free relations
  34. Tue Sep  3 19:29:39 2019  commencing duplicate removal, pass 2
  35. Tue Sep  3 19:30:24 2019  found 0 duplicates and 202160878 unique relations
  36. Tue Sep  3 19:30:24 2019  memory use: 522.4 MB
  37. Tue Sep  3 19:30:24 2019  reading ideals above 159580160
  38. Tue Sep  3 19:30:24 2019  commencing singleton removal, initial pass
  39. Tue Sep  3 19:44:50 2019  memory use: 3012.0 MB
  40. Tue Sep  3 19:44:50 2019  reading all ideals from disk
  41. Tue Sep  3 19:44:52 2019  memory use: 3214.6 MB
  42. Tue Sep  3 19:44:58 2019  commencing in-memory singleton removal
  43. Tue Sep  3 19:45:03 2019  begin with 202160878 relations and 151644986 unique ideals
  44. Tue Sep  3 19:46:08 2019  reduce to 136800055 relations and 79849917 ideals in 12 passes
  45. Tue Sep  3 19:46:08 2019  max relations containing the same ideal: 46
  46. Tue Sep  3 19:46:17 2019  reading ideals above 720000
  47. Tue Sep  3 19:46:18 2019  commencing singleton removal, initial pass
  48. Tue Sep  3 19:59:42 2019  memory use: 2756.0 MB
  49. Tue Sep  3 19:59:42 2019  reading all ideals from disk
  50. Tue Sep  3 19:59:45 2019  memory use: 5105.5 MB
  51. Tue Sep  3 19:59:56 2019  keeping 97057721 ideals with weight <= 200, target excess is 688982
  52. Tue Sep  3 20:00:07 2019  commencing in-memory singleton removal
  53. Tue Sep  3 20:00:15 2019  begin with 136800056 relations and 97057721 unique ideals
  54. Tue Sep  3 20:01:49 2019  reduce to 136734203 relations and 96991867 ideals in 10 passes
  55. Tue Sep  3 20:01:49 2019  max relations containing the same ideal: 200
  56. Tue Sep  3 20:02:34 2019  removing 9207910 relations and 7207910 ideals in 2000000 cliques
  57. Tue Sep  3 20:02:37 2019  commencing in-memory singleton removal
  58. Tue Sep  3 20:02:44 2019  begin with 127526293 relations and 96991867 unique ideals
  59. Tue Sep  3 20:03:45 2019  reduce to 127058526 relations and 89307523 ideals in 7 passes
  60. Tue Sep  3 20:03:45 2019  max relations containing the same ideal: 197
  61. Tue Sep  3 20:04:27 2019  removing 7080499 relations and 5080499 ideals in 2000000 cliques
  62. Tue Sep  3 20:04:30 2019  commencing in-memory singleton removal
  63. Tue Sep  3 20:04:37 2019  begin with 119978027 relations and 89307523 unique ideals
  64. Tue Sep  3 20:05:26 2019  reduce to 119665854 relations and 83909781 ideals in 6 passes
  65. Tue Sep  3 20:05:26 2019  max relations containing the same ideal: 195
  66. Tue Sep  3 20:06:06 2019  removing 6477836 relations and 4477836 ideals in 2000000 cliques
  67. Tue Sep  3 20:06:08 2019  commencing in-memory singleton removal
  68. Tue Sep  3 20:06:15 2019  begin with 113188018 relations and 83909781 unique ideals
  69. Tue Sep  3 20:07:01 2019  reduce to 112920599 relations and 79160179 ideals in 6 passes
  70. Tue Sep  3 20:07:01 2019  max relations containing the same ideal: 188
  71. Tue Sep  3 20:07:38 2019  removing 6152164 relations and 4152164 ideals in 2000000 cliques
  72. Tue Sep  3 20:07:41 2019  commencing in-memory singleton removal
  73. Tue Sep  3 20:07:47 2019  begin with 106768435 relations and 79160179 unique ideals
  74. Tue Sep  3 20:08:30 2019  reduce to 106526272 relations and 74761749 ideals in 6 passes
  75. Tue Sep  3 20:08:30 2019  max relations containing the same ideal: 182
  76. Tue Sep  3 20:09:06 2019  removing 5933295 relations and 3933295 ideals in 2000000 cliques
  77. Tue Sep  3 20:09:08 2019  commencing in-memory singleton removal
  78. Tue Sep  3 20:09:14 2019  begin with 100592977 relations and 74761749 unique ideals
  79. Tue Sep  3 20:09:54 2019  reduce to 100363561 relations and 70594898 ideals in 6 passes
  80. Tue Sep  3 20:09:54 2019  max relations containing the same ideal: 177
  81. Tue Sep  3 20:10:28 2019  removing 5777846 relations and 3777846 ideals in 2000000 cliques
  82. Tue Sep  3 20:10:30 2019  commencing in-memory singleton removal
  83. Tue Sep  3 20:10:36 2019  begin with 94585715 relations and 70594898 unique ideals
  84. Tue Sep  3 20:11:13 2019  reduce to 94363670 relations and 66590826 ideals in 6 passes
  85. Tue Sep  3 20:11:13 2019  max relations containing the same ideal: 169
  86. Tue Sep  3 20:11:44 2019  removing 5654760 relations and 3654760 ideals in 2000000 cliques
  87. Tue Sep  3 20:11:47 2019  commencing in-memory singleton removal
  88. Tue Sep  3 20:11:52 2019  begin with 88708910 relations and 66590826 unique ideals
  89. Tue Sep  3 20:12:27 2019  reduce to 88492689 relations and 62715539 ideals in 6 passes
  90. Tue Sep  3 20:12:27 2019  max relations containing the same ideal: 161
  91. Tue Sep  3 20:12:56 2019  removing 5562528 relations and 3562528 ideals in 2000000 cliques
  92. Tue Sep  3 20:12:58 2019  commencing in-memory singleton removal
  93. Tue Sep  3 20:13:03 2019  begin with 82930161 relations and 62715539 unique ideals
  94. Tue Sep  3 20:13:36 2019  reduce to 82713935 relations and 58932293 ideals in 6 passes
  95. Tue Sep  3 20:13:36 2019  max relations containing the same ideal: 156
  96. Tue Sep  3 20:14:04 2019  removing 5488754 relations and 3488754 ideals in 2000000 cliques
  97. Tue Sep  3 20:14:06 2019  commencing in-memory singleton removal
  98. Tue Sep  3 20:14:10 2019  begin with 77225181 relations and 58932293 unique ideals
  99. Tue Sep  3 20:14:40 2019  reduce to 77006994 relations and 55220456 ideals in 6 passes
  100. Tue Sep  3 20:14:40 2019  max relations containing the same ideal: 150
  101. Tue Sep  3 20:15:06 2019  removing 5420852 relations and 3420852 ideals in 2000000 cliques
  102. Tue Sep  3 20:15:08 2019  commencing in-memory singleton removal
  103. Tue Sep  3 20:15:12 2019  begin with 71586142 relations and 55220456 unique ideals
  104. Tue Sep  3 20:15:40 2019  reduce to 71364388 relations and 51572582 ideals in 6 passes
  105. Tue Sep  3 20:15:40 2019  max relations containing the same ideal: 145
  106. Tue Sep  3 20:16:03 2019  removing 5368704 relations and 3368704 ideals in 2000000 cliques
  107. Tue Sep  3 20:16:05 2019  commencing in-memory singleton removal
  108. Tue Sep  3 20:16:09 2019  begin with 65995684 relations and 51572582 unique ideals
  109. Tue Sep  3 20:16:30 2019  reduce to 65768715 relations and 47971118 ideals in 5 passes
  110. Tue Sep  3 20:16:30 2019  max relations containing the same ideal: 139
  111. Tue Sep  3 20:16:53 2019  removing 5325376 relations and 3325376 ideals in 2000000 cliques
  112. Tue Sep  3 20:16:55 2019  commencing in-memory singleton removal
  113. Tue Sep  3 20:16:58 2019  begin with 60443339 relations and 47971118 unique ideals
  114. Tue Sep  3 20:17:21 2019  reduce to 60208552 relations and 44404512 ideals in 6 passes
  115. Tue Sep  3 20:17:21 2019  max relations containing the same ideal: 132
  116. Tue Sep  3 20:17:41 2019  removing 5286119 relations and 3286119 ideals in 2000000 cliques
  117. Tue Sep  3 20:17:43 2019  commencing in-memory singleton removal
  118. Tue Sep  3 20:17:46 2019  begin with 54922433 relations and 44404512 unique ideals
  119. Tue Sep  3 20:18:07 2019  reduce to 54677662 relations and 40866443 ideals in 6 passes
  120. Tue Sep  3 20:18:07 2019  max relations containing the same ideal: 120
  121. Tue Sep  3 20:18:25 2019  removing 5252059 relations and 3252059 ideals in 2000000 cliques
  122. Tue Sep  3 20:18:27 2019  commencing in-memory singleton removal
  123. Tue Sep  3 20:18:30 2019  begin with 49425603 relations and 40866443 unique ideals
  124. Tue Sep  3 20:18:48 2019  reduce to 49167392 relations and 37348061 ideals in 6 passes
  125. Tue Sep  3 20:18:48 2019  max relations containing the same ideal: 109
  126. Tue Sep  3 20:19:05 2019  removing 5225166 relations and 3225166 ideals in 2000000 cliques
  127. Tue Sep  3 20:19:06 2019  commencing in-memory singleton removal
  128. Tue Sep  3 20:19:09 2019  begin with 43942226 relations and 37348061 unique ideals
  129. Tue Sep  3 20:19:25 2019  reduce to 43664235 relations and 33835457 ideals in 6 passes
  130. Tue Sep  3 20:19:25 2019  max relations containing the same ideal: 102
  131. Tue Sep  3 20:19:39 2019  removing 5196813 relations and 3196813 ideals in 2000000 cliques
  132. Tue Sep  3 20:19:41 2019  commencing in-memory singleton removal
  133. Tue Sep  3 20:19:43 2019  begin with 38467422 relations and 33835457 unique ideals
  134. Tue Sep  3 20:19:57 2019  reduce to 38167504 relations and 30327458 ideals in 6 passes
  135. Tue Sep  3 20:19:57 2019  max relations containing the same ideal: 95
  136. Tue Sep  3 20:20:10 2019  removing 5172736 relations and 3172736 ideals in 2000000 cliques
  137. Tue Sep  3 20:20:12 2019  commencing in-memory singleton removal
  138. Tue Sep  3 20:20:13 2019  begin with 32994768 relations and 30327458 unique ideals
  139. Tue Sep  3 20:20:28 2019  reduce to 32654792 relations and 26800091 ideals in 7 passes
  140. Tue Sep  3 20:20:28 2019  max relations containing the same ideal: 85
  141. Tue Sep  3 20:20:39 2019  removing 5162930 relations and 3162930 ideals in 2000000 cliques
  142. Tue Sep  3 20:20:40 2019  commencing in-memory singleton removal
  143. Tue Sep  3 20:20:41 2019  begin with 27491862 relations and 26800091 unique ideals
  144. Tue Sep  3 20:20:54 2019  reduce to 27083921 relations and 23209119 ideals in 8 passes
  145. Tue Sep  3 20:20:54 2019  max relations containing the same ideal: 73
  146. Tue Sep  3 20:21:03 2019  removing 5181562 relations and 3181562 ideals in 2000000 cliques
  147. Tue Sep  3 20:21:05 2019  commencing in-memory singleton removal
  148. Tue Sep  3 20:21:06 2019  begin with 21902359 relations and 23209119 unique ideals
  149. Tue Sep  3 20:21:16 2019  reduce to 21357211 relations and 19449803 ideals in 8 passes
  150. Tue Sep  3 20:21:16 2019  max relations containing the same ideal: 62
  151. Tue Sep  3 20:21:23 2019  removing 3173407 relations and 2065219 ideals in 1108188 cliques
  152. Tue Sep  3 20:21:24 2019  commencing in-memory singleton removal
  153. Tue Sep  3 20:21:25 2019  begin with 18183804 relations and 19449803 unique ideals
  154. Tue Sep  3 20:21:33 2019  reduce to 17796755 relations and 16979232 ideals in 8 passes
  155. Tue Sep  3 20:21:33 2019  max relations containing the same ideal: 55
  156. Tue Sep  3 20:21:39 2019  removing 101453 relations and 83150 ideals in 18303 cliques
  157. Tue Sep  3 20:21:40 2019  commencing in-memory singleton removal
  158. Tue Sep  3 20:21:41 2019  begin with 17695302 relations and 16979232 unique ideals
  159. Tue Sep  3 20:21:44 2019  reduce to 17694567 relations and 16895347 ideals in 4 passes
  160. Tue Sep  3 20:21:44 2019  max relations containing the same ideal: 55
  161. Tue Sep  3 20:21:46 2019  relations with 0 large ideals: 27154
  162. Tue Sep  3 20:21:46 2019  relations with 1 large ideals: 62772
  163. Tue Sep  3 20:21:46 2019  relations with 2 large ideals: 393061
  164. Tue Sep  3 20:21:46 2019  relations with 3 large ideals: 1634871
  165. Tue Sep  3 20:21:46 2019  relations with 4 large ideals: 3592634
  166. Tue Sep  3 20:21:46 2019  relations with 5 large ideals: 4693913
  167. Tue Sep  3 20:21:46 2019  relations with 6 large ideals: 3873265
  168. Tue Sep  3 20:21:46 2019  relations with 7+ large ideals: 3416897
  169. Tue Sep  3 20:21:46 2019  commencing 2-way merge
  170. Tue Sep  3 20:21:54 2019  reduce to 12159503 relation sets and 11360283 unique ideals
  171. Tue Sep  3 20:21:54 2019  commencing full merge
  172. Tue Sep  3 20:27:53 2019  memory use: 534.4 MB
  173. Tue Sep  3 20:27:53 2019  found 82296 cycles, need 2823540
  174. Tue Sep  3 20:27:53 2019  too few cycles, matrix probably cannot build
  175. Tue Sep  3 22:10:21 2019  
  176. Tue Sep  3 22:10:21 2019  
  177. Tue Sep  3 22:10:21 2019  Msieve v. 1.53 (SVN 988M)
  178. Tue Sep  3 22:10:21 2019  random seeds: 91d0fc50 31893d09
  179. Tue Sep  3 22:10:21 2019  factoring 184297901378704001051400947472809906021306982539424534628765632569392246268068872237931555882481992079429062159719172385089952471555323821903942659019581500261176936799545001 (174 digits)
  180. Tue Sep  3 22:10:22 2019  searching for 15-digit factors
  181. Tue Sep  3 22:10:23 2019  commencing number field sieve (174-digit input)
  182. Tue Sep  3 22:10:23 2019  R0: -37778931863804450319011
  183. Tue Sep  3 22:10:23 2019  R1: 109561042308169728
  184. Tue Sep  3 22:10:23 2019  A0: 4096
  185. Tue Sep  3 22:10:23 2019  A1: 24576
  186. Tue Sep  3 22:10:23 2019  A2: 0
  187. Tue Sep  3 22:10:23 2019  A3: -20736
  188. Tue Sep  3 22:10:23 2019  A4: 2304
  189. Tue Sep  3 22:10:23 2019  A5: 5184
  190. Tue Sep  3 22:10:23 2019  A6: -1080
  191. Tue Sep  3 22:10:23 2019  A7: -324
  192. Tue Sep  3 22:10:23 2019  A8: 81
  193. Tue Sep  3 22:10:23 2019  skew 1.63, size 1.339e-05, alpha 0.235, combined = 3.062e-13 rroots = 8
  194. Tue Sep  3 22:10:23 2019  
  195. Tue Sep  3 22:10:23 2019  commencing relation filtering
  196. Tue Sep  3 22:10:23 2019  setting target matrix density to 120.0
  197. Tue Sep  3 22:10:23 2019  estimated available RAM is 32768.0 MB
  198. Tue Sep  3 22:10:23 2019  commencing duplicate removal, pass 1
  199. Tue Sep  3 22:15:31 2019  error -15 reading relation 53482087
  200. Tue Sep  3 22:18:51 2019  error -15 reading relation 87997157
  201. Tue Sep  3 22:21:01 2019  error -15 reading relation 110338730
  202. Tue Sep  3 22:26:09 2019  error -15 reading relation 163475910
  203. Tue Sep  3 22:26:34 2019  error -11 reading relation 167797212
  204. Tue Sep  3 22:30:11 2019  skipped 3 relations with b > 2^32
  205. Tue Sep  3 22:30:11 2019  skipped 65 relations with composite factors
  206. Tue Sep  3 22:30:11 2019  found 8945414 hash collisions in 202160878 relations
  207. Tue Sep  3 22:30:11 2019  commencing duplicate removal, pass 2
  208. Tue Sep  3 22:30:56 2019  found 0 duplicates and 202160878 unique relations
  209. Tue Sep  3 22:30:56 2019  memory use: 522.4 MB
  210. Tue Sep  3 22:30:56 2019  reading ideals above 159580160
  211. Tue Sep  3 22:30:56 2019  commencing singleton removal, initial pass
  212. Tue Sep  3 22:45:23 2019  memory use: 3012.0 MB
  213. Tue Sep  3 22:45:24 2019  reading all ideals from disk
  214. Tue Sep  3 22:45:26 2019  memory use: 3214.6 MB
  215. Tue Sep  3 22:45:32 2019  commencing in-memory singleton removal
  216. Tue Sep  3 22:45:37 2019  begin with 202160878 relations and 151644986 unique ideals
  217. Tue Sep  3 22:46:44 2019  reduce to 136800055 relations and 79849917 ideals in 12 passes
  218. Tue Sep  3 22:46:44 2019  max relations containing the same ideal: 46
  219. Tue Sep  3 22:46:54 2019  reading ideals above 720000
  220. Tue Sep  3 22:46:54 2019  commencing singleton removal, initial pass
  221. Tue Sep  3 23:00:21 2019  memory use: 2756.0 MB
  222. Tue Sep  3 23:00:22 2019  reading all ideals from disk
  223. Tue Sep  3 23:00:25 2019  memory use: 5105.5 MB
  224. Tue Sep  3 23:00:36 2019  keeping 97057721 ideals with weight <= 200, target excess is 688982
  225. Tue Sep  3 23:00:47 2019  commencing in-memory singleton removal
  226. Tue Sep  3 23:00:56 2019  begin with 136800056 relations and 97057721 unique ideals
  227. Tue Sep  3 23:02:33 2019  reduce to 136734203 relations and 96991867 ideals in 10 passes
  228. Tue Sep  3 23:02:33 2019  max relations containing the same ideal: 200
  229. Tue Sep  3 23:03:20 2019  removing 9207910 relations and 7207910 ideals in 2000000 cliques
  230. Tue Sep  3 23:03:23 2019  commencing in-memory singleton removal
  231. Tue Sep  3 23:03:31 2019  begin with 127526293 relations and 96991867 unique ideals
  232. Tue Sep  3 23:04:34 2019  reduce to 127058526 relations and 89307523 ideals in 7 passes
  233. Tue Sep  3 23:04:34 2019  max relations containing the same ideal: 197
  234. Tue Sep  3 23:05:17 2019  removing 7080499 relations and 5080499 ideals in 2000000 cliques
  235. Tue Sep  3 23:05:20 2019  commencing in-memory singleton removal
  236. Tue Sep  3 23:05:27 2019  begin with 119978027 relations and 89307523 unique ideals
  237. Tue Sep  3 23:06:18 2019  reduce to 119665854 relations and 83909781 ideals in 6 passes
  238. Tue Sep  3 23:06:18 2019  max relations containing the same ideal: 195
  239. Tue Sep  3 23:06:59 2019  removing 6477836 relations and 4477836 ideals in 2000000 cliques
  240. Tue Sep  3 23:07:01 2019  commencing in-memory singleton removal
  241. Tue Sep  3 23:07:08 2019  begin with 113188018 relations and 83909781 unique ideals
  242. Tue Sep  3 23:07:56 2019  reduce to 112920599 relations and 79160179 ideals in 6 passes
  243. Tue Sep  3 23:07:56 2019  max relations containing the same ideal: 188
  244. Tue Sep  3 23:08:35 2019  removing 6152164 relations and 4152164 ideals in 2000000 cliques
  245. Tue Sep  3 23:08:37 2019  commencing in-memory singleton removal
  246. Tue Sep  3 23:08:44 2019  begin with 106768435 relations and 79160179 unique ideals
  247. Tue Sep  3 23:09:29 2019  reduce to 106526272 relations and 74761749 ideals in 6 passes
  248. Tue Sep  3 23:09:29 2019  max relations containing the same ideal: 182
  249. Tue Sep  3 23:10:05 2019  removing 5933295 relations and 3933295 ideals in 2000000 cliques
  250. Tue Sep  3 23:10:07 2019  commencing in-memory singleton removal
  251. Tue Sep  3 23:10:13 2019  begin with 100592977 relations and 74761749 unique ideals
  252. Tue Sep  3 23:10:55 2019  reduce to 100363561 relations and 70594898 ideals in 6 passes
  253. Tue Sep  3 23:10:55 2019  max relations containing the same ideal: 177
  254. Tue Sep  3 23:11:29 2019  removing 5777846 relations and 3777846 ideals in 2000000 cliques
  255. Tue Sep  3 23:11:32 2019  commencing in-memory singleton removal
  256. Tue Sep  3 23:11:37 2019  begin with 94585715 relations and 70594898 unique ideals
  257. Tue Sep  3 23:12:17 2019  reduce to 94363670 relations and 66590826 ideals in 6 passes
  258. Tue Sep  3 23:12:17 2019  max relations containing the same ideal: 169
  259. Tue Sep  3 23:12:49 2019  removing 5654760 relations and 3654760 ideals in 2000000 cliques
  260. Tue Sep  3 23:12:51 2019  commencing in-memory singleton removal
  261. Tue Sep  3 23:12:57 2019  begin with 88708910 relations and 66590826 unique ideals
  262. Tue Sep  3 23:13:33 2019  reduce to 88492689 relations and 62715539 ideals in 6 passes
  263. Tue Sep  3 23:13:33 2019  max relations containing the same ideal: 161
  264. Tue Sep  3 23:14:04 2019  removing 5562528 relations and 3562528 ideals in 2000000 cliques
  265. Tue Sep  3 23:14:06 2019  commencing in-memory singleton removal
  266. Tue Sep  3 23:14:11 2019  begin with 82930161 relations and 62715539 unique ideals
  267. Tue Sep  3 23:14:45 2019  reduce to 82713935 relations and 58932293 ideals in 6 passes
  268. Tue Sep  3 23:14:45 2019  max relations containing the same ideal: 156
  269. Tue Sep  3 23:15:14 2019  removing 5488754 relations and 3488754 ideals in 2000000 cliques
  270. Tue Sep  3 23:15:16 2019  commencing in-memory singleton removal
  271. Tue Sep  3 23:15:20 2019  begin with 77225181 relations and 58932293 unique ideals
  272. Tue Sep  3 23:15:52 2019  reduce to 77006994 relations and 55220456 ideals in 6 passes
  273. Tue Sep  3 23:15:52 2019  max relations containing the same ideal: 150
  274. Tue Sep  3 23:16:18 2019  removing 5420852 relations and 3420852 ideals in 2000000 cliques
  275. Tue Sep  3 23:16:20 2019  commencing in-memory singleton removal
  276. Tue Sep  3 23:16:24 2019  begin with 71586142 relations and 55220456 unique ideals
  277. Tue Sep  3 23:16:53 2019  reduce to 71364388 relations and 51572582 ideals in 6 passes
  278. Tue Sep  3 23:16:53 2019  max relations containing the same ideal: 145
  279. Tue Sep  3 23:17:18 2019  removing 5368704 relations and 3368704 ideals in 2000000 cliques
  280. Tue Sep  3 23:17:20 2019  commencing in-memory singleton removal
  281. Tue Sep  3 23:17:24 2019  begin with 65995684 relations and 51572582 unique ideals
  282. Tue Sep  3 23:17:46 2019  reduce to 65768715 relations and 47971118 ideals in 5 passes
  283. Tue Sep  3 23:17:46 2019  max relations containing the same ideal: 139
  284. Tue Sep  3 23:18:08 2019  removing 5325376 relations and 3325376 ideals in 2000000 cliques
  285. Tue Sep  3 23:18:10 2019  commencing in-memory singleton removal
  286. Tue Sep  3 23:18:14 2019  begin with 60443339 relations and 47971118 unique ideals
  287. Tue Sep  3 23:18:38 2019  reduce to 60208552 relations and 44404512 ideals in 6 passes
  288. Tue Sep  3 23:18:38 2019  max relations containing the same ideal: 132
  289. Tue Sep  3 23:18:59 2019  removing 5286119 relations and 3286119 ideals in 2000000 cliques
  290. Tue Sep  3 23:19:00 2019  commencing in-memory singleton removal
  291. Tue Sep  3 23:19:04 2019  begin with 54922433 relations and 44404512 unique ideals
  292. Tue Sep  3 23:19:25 2019  reduce to 54677662 relations and 40866443 ideals in 6 passes
  293. Tue Sep  3 23:19:25 2019  max relations containing the same ideal: 120
  294. Tue Sep  3 23:19:44 2019  removing 5252059 relations and 3252059 ideals in 2000000 cliques
  295. Tue Sep  3 23:19:46 2019  commencing in-memory singleton removal
  296. Tue Sep  3 23:19:49 2019  begin with 49425603 relations and 40866443 unique ideals
  297. Tue Sep  3 23:20:08 2019  reduce to 49167392 relations and 37348061 ideals in 6 passes
  298. Tue Sep  3 23:20:08 2019  max relations containing the same ideal: 109
  299. Tue Sep  3 23:20:25 2019  removing 5225166 relations and 3225166 ideals in 2000000 cliques
  300. Tue Sep  3 23:20:27 2019  commencing in-memory singleton removal
  301. Tue Sep  3 23:20:29 2019  begin with 43942226 relations and 37348061 unique ideals
  302. Tue Sep  3 23:20:46 2019  reduce to 43664235 relations and 33835457 ideals in 6 passes
  303. Tue Sep  3 23:20:46 2019  max relations containing the same ideal: 102
  304. Tue Sep  3 23:21:01 2019  removing 5196813 relations and 3196813 ideals in 2000000 cliques
  305. Tue Sep  3 23:21:03 2019  commencing in-memory singleton removal
  306. Tue Sep  3 23:21:05 2019  begin with 38467422 relations and 33835457 unique ideals
  307. Tue Sep  3 23:21:20 2019  reduce to 38167504 relations and 30327458 ideals in 6 passes
  308. Tue Sep  3 23:21:20 2019  max relations containing the same ideal: 95
  309. Tue Sep  3 23:21:33 2019  removing 5172736 relations and 3172736 ideals in 2000000 cliques
  310. Tue Sep  3 23:21:35 2019  commencing in-memory singleton removal
  311. Tue Sep  3 23:21:37 2019  begin with 32994768 relations and 30327458 unique ideals
  312. Tue Sep  3 23:21:51 2019  reduce to 32654792 relations and 26800091 ideals in 7 passes
  313. Tue Sep  3 23:21:51 2019  max relations containing the same ideal: 85
  314. Tue Sep  3 23:22:02 2019  removing 5162930 relations and 3162930 ideals in 2000000 cliques
  315. Tue Sep  3 23:22:04 2019  commencing in-memory singleton removal
  316. Tue Sep  3 23:22:05 2019  begin with 27491862 relations and 26800091 unique ideals
  317. Tue Sep  3 23:22:19 2019  reduce to 27083921 relations and 23209119 ideals in 8 passes
  318. Tue Sep  3 23:22:19 2019  max relations containing the same ideal: 73
  319. Tue Sep  3 23:22:28 2019  removing 5181562 relations and 3181562 ideals in 2000000 cliques
  320. Tue Sep  3 23:22:29 2019  commencing in-memory singleton removal
  321. Tue Sep  3 23:22:31 2019  begin with 21902359 relations and 23209119 unique ideals
  322. Tue Sep  3 23:22:41 2019  reduce to 21357211 relations and 19449803 ideals in 8 passes
  323. Tue Sep  3 23:22:41 2019  max relations containing the same ideal: 62
  324. Tue Sep  3 23:22:48 2019  removing 3173407 relations and 2065219 ideals in 1108188 cliques
  325. Tue Sep  3 23:22:49 2019  commencing in-memory singleton removal
  326. Tue Sep  3 23:22:50 2019  begin with 18183804 relations and 19449803 unique ideals
  327. Tue Sep  3 23:22:59 2019  reduce to 17796755 relations and 16979232 ideals in 8 passes
  328. Tue Sep  3 23:22:59 2019  max relations containing the same ideal: 55
  329. Tue Sep  3 23:23:05 2019  removing 101453 relations and 83150 ideals in 18303 cliques
  330. Tue Sep  3 23:23:06 2019  commencing in-memory singleton removal
  331. Tue Sep  3 23:23:07 2019  begin with 17695302 relations and 16979232 unique ideals
  332. Tue Sep  3 23:23:11 2019  reduce to 17694567 relations and 16895347 ideals in 4 passes
  333. Tue Sep  3 23:23:11 2019  max relations containing the same ideal: 55
  334. Tue Sep  3 23:23:13 2019  relations with 0 large ideals: 27154
  335. Tue Sep  3 23:23:13 2019  relations with 1 large ideals: 62772
  336. Tue Sep  3 23:23:13 2019  relations with 2 large ideals: 393061
  337. Tue Sep  3 23:23:13 2019  relations with 3 large ideals: 1634871
  338. Tue Sep  3 23:23:13 2019  relations with 4 large ideals: 3592634
  339. Tue Sep  3 23:23:13 2019  relations with 5 large ideals: 4693913
  340. Tue Sep  3 23:23:13 2019  relations with 6 large ideals: 3873265
  341. Tue Sep  3 23:23:13 2019  relations with 7+ large ideals: 3416897
  342. Tue Sep  3 23:23:13 2019  commencing 2-way merge
  343. Tue Sep  3 23:23:21 2019  reduce to 12159503 relation sets and 11360283 unique ideals
  344. Tue Sep  3 23:23:21 2019  commencing full merge
  345. Tue Sep  3 23:26:58 2019  memory use: 1385.3 MB
  346. Tue Sep  3 23:27:00 2019  found 5200977 cycles, need 5180483
  347. Tue Sep  3 23:27:00 2019  weight of 5180483 cycles is about 622329382 (120.13/cycle)
  348. Tue Sep  3 23:27:00 2019  distribution of cycle lengths:
  349. Tue Sep  3 23:27:00 2019  1 relations: 181502
  350. Tue Sep  3 23:27:00 2019  2 relations: 242268
  351. Tue Sep  3 23:27:00 2019  3 relations: 304965
  352. Tue Sep  3 23:27:00 2019  4 relations: 337928
  353. Tue Sep  3 23:27:00 2019  5 relations: 368517
  354. Tue Sep  3 23:27:00 2019  6 relations: 379976
  355. Tue Sep  3 23:27:00 2019  7 relations: 379585
  356. Tue Sep  3 23:27:00 2019  8 relations: 368542
  357. Tue Sep  3 23:27:00 2019  9 relations: 347915
  358. Tue Sep  3 23:27:00 2019  10+ relations: 2269285
  359. Tue Sep  3 23:27:00 2019  heaviest cycle: 28 relations
  360. Tue Sep  3 23:27:02 2019  commencing cycle optimization
  361. Tue Sep  3 23:27:13 2019  start with 49327390 relations
  362. Tue Sep  3 23:29:14 2019  pruned 2718671 relations
  363. Tue Sep  3 23:29:14 2019  memory use: 1233.3 MB
  364. Tue Sep  3 23:29:14 2019  distribution of cycle lengths:
  365. Tue Sep  3 23:29:14 2019  1 relations: 181502
  366. Tue Sep  3 23:29:14 2019  2 relations: 248211
  367. Tue Sep  3 23:29:14 2019  3 relations: 317727
  368. Tue Sep  3 23:29:14 2019  4 relations: 354010
  369. Tue Sep  3 23:29:14 2019  5 relations: 390683
  370. Tue Sep  3 23:29:14 2019  6 relations: 403720
  371. Tue Sep  3 23:29:14 2019  7 relations: 405799
  372. Tue Sep  3 23:29:14 2019  8 relations: 392616
  373. Tue Sep  3 23:29:14 2019  9 relations: 370739
  374. Tue Sep  3 23:29:14 2019  10+ relations: 2115476
  375. Tue Sep  3 23:29:14 2019  heaviest cycle: 28 relations
  376. Tue Sep  3 23:29:26 2019  RelProcTime: 4743
  377. Tue Sep  3 23:29:26 2019  
  378. Tue Sep  3 23:29:26 2019  commencing linear algebra
  379. Tue Sep  3 23:29:27 2019  read 5180483 cycles
  380. Tue Sep  3 23:29:38 2019  cycles contain 17323903 unique relations
  381. Tue Sep  3 23:30:53 2019  read 17323903 relations
  382. Tue Sep  3 23:31:25 2019  using 20 quadratic characters above 4294917295
  383. Tue Sep  3 23:32:25 2019  building initial matrix
  384. Tue Sep  3 23:35:19 2019  memory use: 2188.5 MB
  385. Tue Sep  3 23:35:23 2019  read 5180483 cycles
  386. Tue Sep  3 23:35:23 2019  matrix is 5180306 x 5180483 (2403.7 MB) with weight 679736684 (131.21/col)
  387. Tue Sep  3 23:35:23 2019  sparse part has weight 573138529 (110.63/col)
  388. Tue Sep  3 23:36:15 2019  filtering completed in 2 passes
  389. Tue Sep  3 23:36:16 2019  matrix is 5180149 x 5180326 (2403.7 MB) with weight 679731595 (131.21/col)
  390. Tue Sep  3 23:36:16 2019  sparse part has weight 573136681 (110.64/col)
  391. Tue Sep  3 23:36:31 2019  matrix starts at (0, 0)
  392. Tue Sep  3 23:36:31 2019  matrix is 5180149 x 5180326 (2403.7 MB) with weight 679731595 (131.21/col)
  393. Tue Sep  3 23:36:31 2019  sparse part has weight 573136681 (110.64/col)
  394. Tue Sep  3 23:36:31 2019  saving the first 48 matrix rows for later
  395. Tue Sep  3 23:36:32 2019  matrix includes 64 packed rows
  396. Tue Sep  3 23:36:33 2019  matrix is 5180101 x 5180326 (2302.1 MB) with weight 588795450 (113.66/col)
  397. Tue Sep  3 23:36:33 2019  sparse part has weight 551677621 (106.49/col)
  398. Tue Sep  3 23:36:33 2019  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  399. Tue Sep  3 23:36:55 2019  commencing Lanczos iteration (8 threads)
  400. Tue Sep  3 23:36:55 2019  memory use: 1944.1 MB
  401. Tue Sep  3 23:37:04 2019  linear algebra at 0.0%, ETA 8h32m
  402. Tue Sep  3 23:37:06 2019  checkpointing every 670000 dimensions
  403. Wed Sep  4 07:39:11 2019  lanczos halted after 81915 iterations (dim = 5180098)
  404. Wed Sep  4 07:39:17 2019  recovered 33 nontrivial dependencies
  405. Wed Sep  4 07:39:18 2019  BLanczosTime: 29392
  406. Wed Sep  4 07:39:18 2019  
  407. Wed Sep  4 07:39:18 2019  commencing square root phase
  408. Wed Sep  4 07:39:18 2019  handling dependencies 1 to 64
  409. Wed Sep  4 07:39:18 2019  reading relations for dependency 1
  410. Wed Sep  4 07:39:19 2019  read 2590688 cycles
  411. Wed Sep  4 07:39:24 2019  cycles contain 8660660 unique relations
  412. Wed Sep  4 07:40:07 2019  read 8660660 relations
  413. Wed Sep  4 07:40:41 2019  multiplying 8660660 relations
  414. Wed Sep  4 07:49:22 2019  multiply complete, coefficients have about 266.89 million bits
  415. Wed Sep  4 07:49:24 2019  warning: no irreducible prime found, switching to small primes
  416. Wed Sep  4 07:50:46 2019  initial square root is modulo 13
  417. Wed Sep  4 08:07:27 2019  Newton iteration failed to converge
  418. Wed Sep  4 08:07:27 2019  algebraic square root failed
  419. Wed Sep  4 08:07:27 2019  reading relations for dependency 2
  420. Wed Sep  4 08:07:28 2019  read 2590878 cycles
  421. Wed Sep  4 08:07:33 2019  cycles contain 8666492 unique relations
  422. Wed Sep  4 08:08:19 2019  read 8666492 relations
  423. Wed Sep  4 08:08:54 2019  multiplying 8666492 relations
  424. Wed Sep  4 08:17:53 2019  multiply complete, coefficients have about 267.07 million bits
  425. Wed Sep  4 08:17:55 2019  warning: no irreducible prime found, switching to small primes
  426. Wed Sep  4 08:18:37 2019  initial square root is modulo 13
  427. Wed Sep  4 08:35:31 2019  sqrtTime: 3373
  428. Wed Sep  4 08:35:31 2019  p72 factor: 687960419206258249736042352864260518656695589058355477072991974904970501
  429. Wed Sep  4 08:35:31 2019  p102 factor: 267890268442099752778386093586941729436387639172469859568109544085552433055832305675139169575467324501
  430. Wed Sep  4 08:35:31 2019  elapsed time 10:25:10
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