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  1. Fri Jul 22 09:40:37 2016  
  2. Fri Jul 22 09:40:37 2016  
  3. Fri Jul 22 09:40:37 2016  Msieve v. 1.53 (SVN 988M)
  4. Fri Jul 22 09:40:37 2016  random seeds: c45b012e 175b5db9
  5. Fri Jul 22 09:40:37 2016  factoring 1074220397608063744092456701155722449290119666365802488437623526859160975424802319394559862204759874721680339424141057973064241372305556832686404359799262209821344487053 (169 digits)
  6. Fri Jul 22 09:40:38 2016  searching for 15-digit factors
  7. Fri Jul 22 09:40:39 2016  commencing number field sieve (169-digit input)
  8. Fri Jul 22 09:40:39 2016  R0: 5444517870735015415413993718908291383296
  9. Fri Jul 22 09:40:39 2016  R1: -984770902183611232881
  10. Fri Jul 22 09:40:39 2016  A0: -8
  11. Fri Jul 22 09:40:39 2016  A1: 0
  12. Fri Jul 22 09:40:39 2016  A2: 0
  13. Fri Jul 22 09:40:39 2016  A3: 0
  14. Fri Jul 22 09:40:39 2016  A4: 0
  15. Fri Jul 22 09:40:39 2016  A5: 0
  16. Fri Jul 22 09:40:39 2016  A6: 3
  17. Fri Jul 22 09:40:39 2016  skew 1.18, size 8.650e-12, alpha 1.335, combined = 5.715e-13 rroots = 2
  18. Fri Jul 22 09:40:39 2016  
  19. Fri Jul 22 09:40:39 2016  commencing relation filtering
  20. Fri Jul 22 09:40:39 2016  setting target matrix density to 130.0
  21. Fri Jul 22 09:40:39 2016  estimated available RAM is 16384.0 MB
  22. Fri Jul 22 09:40:39 2016  commencing duplicate removal, pass 1
  23. Fri Jul 22 09:50:43 2016  error -9 reading relation 87019559
  24. Fri Jul 22 09:57:41 2016  error -5 reading relation 147466369
  25. Fri Jul 22 10:01:32 2016  error -9 reading relation 180631404
  26. Fri Jul 22 10:02:35 2016  error -9 reading relation 189769545
  27. Fri Jul 22 10:03:35 2016  error -15 reading relation 198364195
  28. Fri Jul 22 10:03:59 2016  error -5 reading relation 201880474
  29. Fri Jul 22 10:08:34 2016  error -9 reading relation 241366099
  30. Fri Jul 22 10:08:38 2016  error -15 reading relation 242076471
  31. Fri Jul 22 10:08:43 2016  error -5 reading relation 242777166
  32. Fri Jul 22 10:08:54 2016  skipped 30 relations with b > 2^32
  33. Fri Jul 22 10:08:54 2016  skipped 12 relations with composite factors
  34. Fri Jul 22 10:08:54 2016  found 44624815 hash collisions in 244355431 relations
  35. Fri Jul 22 10:09:07 2016  added 1218752 free relations
  36. Fri Jul 22 10:09:07 2016  commencing duplicate removal, pass 2
  37. Fri Jul 22 10:12:34 2016  found 41898562 duplicates and 203675621 unique relations
  38. Fri Jul 22 10:12:34 2016  memory use: 1321.5 MB
  39. Fri Jul 22 10:12:35 2016  reading ideals above 119996416
  40. Fri Jul 22 10:12:35 2016  commencing singleton removal, initial pass
  41. Fri Jul 22 10:30:46 2016  memory use: 3012.0 MB
  42. Fri Jul 22 10:30:46 2016  reading all ideals from disk
  43. Fri Jul 22 10:30:55 2016  memory use: 3539.5 MB
  44. Fri Jul 22 10:31:03 2016  commencing in-memory singleton removal
  45. Fri Jul 22 10:31:10 2016  begin with 203675621 relations and 162948531 unique ideals
  46. Fri Jul 22 10:32:28 2016  reduce to 138386804 relations and 91451215 ideals in 13 passes
  47. Fri Jul 22 10:32:28 2016  max relations containing the same ideal: 43
  48. Fri Jul 22 10:32:39 2016  reading ideals above 720000
  49. Fri Jul 22 10:32:39 2016  commencing singleton removal, initial pass
  50. Fri Jul 22 10:49:07 2016  memory use: 2756.0 MB
  51. Fri Jul 22 10:49:08 2016  reading all ideals from disk
  52. Fri Jul 22 10:49:21 2016  memory use: 5347.4 MB
  53. Fri Jul 22 10:49:33 2016  keeping 104434281 ideals with weight <= 200, target excess is 698081
  54. Fri Jul 22 10:49:44 2016  commencing in-memory singleton removal
  55. Fri Jul 22 10:49:55 2016  begin with 138386804 relations and 104434281 unique ideals
  56. Fri Jul 22 10:50:31 2016  reduce to 138386728 relations and 104434205 ideals in 4 passes
  57. Fri Jul 22 10:50:31 2016  max relations containing the same ideal: 200
  58. Fri Jul 22 10:51:17 2016  removing 10045924 relations and 8045924 ideals in 2000000 cliques
  59. Fri Jul 22 10:51:20 2016  commencing in-memory singleton removal
  60. Fri Jul 22 10:51:30 2016  begin with 128340804 relations and 104434205 unique ideals
  61. Fri Jul 22 10:52:29 2016  reduce to 127802279 relations and 95840011 ideals in 7 passes
  62. Fri Jul 22 10:52:29 2016  max relations containing the same ideal: 198
  63. Fri Jul 22 10:53:12 2016  removing 7645127 relations and 5645128 ideals in 2000000 cliques
  64. Fri Jul 22 10:53:15 2016  commencing in-memory singleton removal
  65. Fri Jul 22 10:53:24 2016  begin with 120157152 relations and 95840011 unique ideals
  66. Fri Jul 22 10:54:18 2016  reduce to 119796568 relations and 89828331 ideals in 7 passes
  67. Fri Jul 22 10:54:18 2016  max relations containing the same ideal: 193
  68. Fri Jul 22 10:54:58 2016  removing 6950411 relations and 4950411 ideals in 2000000 cliques
  69. Fri Jul 22 10:55:00 2016  commencing in-memory singleton removal
  70. Fri Jul 22 10:55:09 2016  begin with 112846157 relations and 89828331 unique ideals
  71. Fri Jul 22 10:55:59 2016  reduce to 112532637 relations and 84559394 ideals in 7 passes
  72. Fri Jul 22 10:55:59 2016  max relations containing the same ideal: 185
  73. Fri Jul 22 10:56:37 2016  removing 6590118 relations and 4590118 ideals in 2000000 cliques
  74. Fri Jul 22 10:56:40 2016  commencing in-memory singleton removal
  75. Fri Jul 22 10:56:47 2016  begin with 105942519 relations and 84559394 unique ideals
  76. Fri Jul 22 10:57:34 2016  reduce to 105653064 relations and 79674978 ideals in 7 passes
  77. Fri Jul 22 10:57:34 2016  max relations containing the same ideal: 177
  78. Fri Jul 22 10:58:09 2016  removing 6362638 relations and 4362638 ideals in 2000000 cliques
  79. Fri Jul 22 10:58:12 2016  commencing in-memory singleton removal
  80. Fri Jul 22 10:58:19 2016  begin with 99290426 relations and 79674978 unique ideals
  81. Fri Jul 22 10:59:02 2016  reduce to 99011911 relations and 75029014 ideals in 7 passes
  82. Fri Jul 22 10:59:02 2016  max relations containing the same ideal: 172
  83. Fri Jul 22 10:59:36 2016  removing 6204962 relations and 4204962 ideals in 2000000 cliques
  84. Fri Jul 22 10:59:38 2016  commencing in-memory singleton removal
  85. Fri Jul 22 10:59:45 2016  begin with 92806949 relations and 75029014 unique ideals
  86. Fri Jul 22 11:00:25 2016  reduce to 92533224 relations and 70545268 ideals in 7 passes
  87. Fri Jul 22 11:00:25 2016  max relations containing the same ideal: 164
  88. Fri Jul 22 11:00:56 2016  removing 6085620 relations and 4085620 ideals in 2000000 cliques
  89. Fri Jul 22 11:00:58 2016  commencing in-memory singleton removal
  90. Fri Jul 22 11:01:04 2016  begin with 86447604 relations and 70545268 unique ideals
  91. Fri Jul 22 11:01:41 2016  reduce to 86173777 relations and 66180545 ideals in 7 passes
  92. Fri Jul 22 11:01:41 2016  max relations containing the same ideal: 154
  93. Fri Jul 22 11:02:10 2016  removing 6001216 relations and 4001216 ideals in 2000000 cliques
  94. Fri Jul 22 11:02:12 2016  commencing in-memory singleton removal
  95. Fri Jul 22 11:02:18 2016  begin with 80172561 relations and 66180545 unique ideals
  96. Fri Jul 22 11:02:51 2016  reduce to 79894345 relations and 61895303 ideals in 7 passes
  97. Fri Jul 22 11:02:51 2016  max relations containing the same ideal: 146
  98. Fri Jul 22 11:03:18 2016  removing 5933921 relations and 3933921 ideals in 2000000 cliques
  99. Fri Jul 22 11:03:20 2016  commencing in-memory singleton removal
  100. Fri Jul 22 11:03:25 2016  begin with 73960424 relations and 61895303 unique ideals
  101. Fri Jul 22 11:03:51 2016  reduce to 73672860 relations and 57667352 ideals in 6 passes
  102. Fri Jul 22 11:03:51 2016  max relations containing the same ideal: 141
  103. Fri Jul 22 11:04:16 2016  removing 5887200 relations and 3887200 ideals in 2000000 cliques
  104. Fri Jul 22 11:04:18 2016  commencing in-memory singleton removal
  105. Fri Jul 22 11:04:22 2016  begin with 67785660 relations and 57667352 unique ideals
  106. Fri Jul 22 11:04:46 2016  reduce to 67483884 relations and 53471202 ideals in 6 passes
  107. Fri Jul 22 11:04:46 2016  max relations containing the same ideal: 133
  108. Fri Jul 22 11:05:09 2016  removing 5854740 relations and 3854740 ideals in 2000000 cliques
  109. Fri Jul 22 11:05:11 2016  commencing in-memory singleton removal
  110. Fri Jul 22 11:05:15 2016  begin with 61629144 relations and 53471202 unique ideals
  111. Fri Jul 22 11:05:36 2016  reduce to 61312093 relations and 49291203 ideals in 6 passes
  112. Fri Jul 22 11:05:36 2016  max relations containing the same ideal: 128
  113. Fri Jul 22 11:05:56 2016  removing 5836357 relations and 3836357 ideals in 2000000 cliques
  114. Fri Jul 22 11:05:58 2016  commencing in-memory singleton removal
  115. Fri Jul 22 11:06:02 2016  begin with 55475736 relations and 49291203 unique ideals
  116. Fri Jul 22 11:06:23 2016  reduce to 55133351 relations and 45102707 ideals in 7 passes
  117. Fri Jul 22 11:06:23 2016  max relations containing the same ideal: 113
  118. Fri Jul 22 11:06:41 2016  removing 5824053 relations and 3824053 ideals in 2000000 cliques
  119. Fri Jul 22 11:06:43 2016  commencing in-memory singleton removal
  120. Fri Jul 22 11:06:46 2016  begin with 49309298 relations and 45102707 unique ideals
  121. Fri Jul 22 11:07:05 2016  reduce to 48937148 relations and 40895082 ideals in 7 passes
  122. Fri Jul 22 11:07:05 2016  max relations containing the same ideal: 106
  123. Fri Jul 22 11:07:21 2016  removing 5822936 relations and 3822936 ideals in 2000000 cliques
  124. Fri Jul 22 11:07:23 2016  commencing in-memory singleton removal
  125. Fri Jul 22 11:07:25 2016  begin with 43114212 relations and 40895082 unique ideals
  126. Fri Jul 22 11:07:40 2016  reduce to 42699416 relations and 36642863 ideals in 7 passes
  127. Fri Jul 22 11:07:40 2016  max relations containing the same ideal: 98
  128. Fri Jul 22 11:07:54 2016  removing 5836944 relations and 3836944 ideals in 2000000 cliques
  129. Fri Jul 22 11:07:56 2016  commencing in-memory singleton removal
  130. Fri Jul 22 11:07:58 2016  begin with 36862472 relations and 36642863 unique ideals
  131. Fri Jul 22 11:08:13 2016  reduce to 36386862 relations and 32311347 ideals in 8 passes
  132. Fri Jul 22 11:08:13 2016  max relations containing the same ideal: 86
  133. Fri Jul 22 11:08:24 2016  removing 5863095 relations and 3863095 ideals in 2000000 cliques
  134. Fri Jul 22 11:08:26 2016  commencing in-memory singleton removal
  135. Fri Jul 22 11:08:27 2016  begin with 30523767 relations and 32311347 unique ideals
  136. Fri Jul 22 11:08:38 2016  reduce to 29949488 relations and 27847258 ideals in 8 passes
  137. Fri Jul 22 11:08:38 2016  max relations containing the same ideal: 76
  138. Fri Jul 22 11:08:48 2016  removing 4114225 relations and 2821769 ideals in 1292456 cliques
  139. Fri Jul 22 11:08:49 2016  commencing in-memory singleton removal
  140. Fri Jul 22 11:08:50 2016  begin with 25835263 relations and 27847258 unique ideals
  141. Fri Jul 22 11:08:58 2016  reduce to 25448505 relations and 24624027 ideals in 7 passes
  142. Fri Jul 22 11:08:58 2016  max relations containing the same ideal: 71
  143. Fri Jul 22 11:09:06 2016  removing 92785 relations and 78081 ideals in 14704 cliques
  144. Fri Jul 22 11:09:07 2016  commencing in-memory singleton removal
  145. Fri Jul 22 11:09:08 2016  begin with 25355720 relations and 24624027 unique ideals
  146. Fri Jul 22 11:09:13 2016  reduce to 25355442 relations and 24545668 ideals in 5 passes
  147. Fri Jul 22 11:09:13 2016  max relations containing the same ideal: 71
  148. Fri Jul 22 11:09:16 2016  relations with 0 large ideals: 26587
  149. Fri Jul 22 11:09:16 2016  relations with 1 large ideals: 14090
  150. Fri Jul 22 11:09:16 2016  relations with 2 large ideals: 181749
  151. Fri Jul 22 11:09:16 2016  relations with 3 large ideals: 1066085
  152. Fri Jul 22 11:09:16 2016  relations with 4 large ideals: 3306852
  153. Fri Jul 22 11:09:16 2016  relations with 5 large ideals: 6016382
  154. Fri Jul 22 11:09:16 2016  relations with 6 large ideals: 6773755
  155. Fri Jul 22 11:09:16 2016  relations with 7+ large ideals: 7969942
  156. Fri Jul 22 11:09:16 2016  commencing 2-way merge
  157. Fri Jul 22 11:09:27 2016  reduce to 16948938 relation sets and 16139164 unique ideals
  158. Fri Jul 22 11:09:27 2016  commencing full merge
  159. Fri Jul 22 11:20:24 2016  memory use: 751.7 MB
  160. Fri Jul 22 11:20:24 2016  found 42926 cycles, need 3736865
  161. Fri Jul 22 11:20:24 2016  too few cycles, matrix probably cannot build
  162. Fri Jul 22 11:34:01 2016  
  163. Fri Jul 22 11:34:01 2016  
  164. Fri Jul 22 11:34:01 2016  Msieve v. 1.53 (SVN 988M)
  165. Fri Jul 22 11:34:01 2016  random seeds: d0cf3fb8 0bea6a70
  166. Fri Jul 22 11:34:01 2016  factoring 1074220397608063744092456701155722449290119666365802488437623526859160975424802319394559862204759874721680339424141057973064241372305556832686404359799262209821344487053 (169 digits)
  167. Fri Jul 22 11:34:01 2016  searching for 15-digit factors
  168. Fri Jul 22 11:34:02 2016  commencing number field sieve (169-digit input)
  169. Fri Jul 22 11:34:02 2016  R0: 5444517870735015415413993718908291383296
  170. Fri Jul 22 11:34:02 2016  R1: -984770902183611232881
  171. Fri Jul 22 11:34:02 2016  A0: -8
  172. Fri Jul 22 11:34:02 2016  A1: 0
  173. Fri Jul 22 11:34:02 2016  A2: 0
  174. Fri Jul 22 11:34:02 2016  A3: 0
  175. Fri Jul 22 11:34:02 2016  A4: 0
  176. Fri Jul 22 11:34:02 2016  A5: 0
  177. Fri Jul 22 11:34:02 2016  A6: 3
  178. Fri Jul 22 11:34:02 2016  skew 1.18, size 8.650e-12, alpha 1.335, combined = 5.715e-13 rroots = 2
  179. Fri Jul 22 11:34:02 2016  
  180. Fri Jul 22 11:34:02 2016  commencing relation filtering
  181. Fri Jul 22 11:34:02 2016  setting target matrix density to 120.0
  182. Fri Jul 22 11:34:02 2016  estimated available RAM is 16384.0 MB
  183. Fri Jul 22 11:34:02 2016  commencing duplicate removal, pass 1
  184. Fri Jul 22 11:44:01 2016  error -9 reading relation 87019559
  185. Fri Jul 22 11:50:59 2016  error -5 reading relation 147466369
  186. Fri Jul 22 11:54:49 2016  error -9 reading relation 180631404
  187. Fri Jul 22 11:55:52 2016  error -9 reading relation 189769545
  188. Fri Jul 22 11:56:52 2016  error -15 reading relation 198364195
  189. Fri Jul 22 11:57:16 2016  error -5 reading relation 201880474
  190. Fri Jul 22 12:01:51 2016  error -9 reading relation 241366099
  191. Fri Jul 22 12:01:56 2016  error -15 reading relation 242076471
  192. Fri Jul 22 12:02:01 2016  error -5 reading relation 242777166
  193. Fri Jul 22 12:02:26 2016  skipped 30 relations with b > 2^32
  194. Fri Jul 22 12:02:26 2016  skipped 12 relations with composite factors
  195. Fri Jul 22 12:02:26 2016  found 44714943 hash collisions in 245574183 relations
  196. Fri Jul 22 12:02:35 2016  added 1 free relations
  197. Fri Jul 22 12:02:35 2016  commencing duplicate removal, pass 2
  198. Fri Jul 22 12:06:01 2016  found 41898562 duplicates and 203675622 unique relations
  199. Fri Jul 22 12:06:01 2016  memory use: 1321.5 MB
  200. Fri Jul 22 12:06:01 2016  reading ideals above 119996416
  201. Fri Jul 22 12:06:01 2016  commencing singleton removal, initial pass
  202. Fri Jul 22 12:24:15 2016  memory use: 3012.0 MB
  203. Fri Jul 22 12:24:15 2016  reading all ideals from disk
  204. Fri Jul 22 12:24:24 2016  memory use: 3539.5 MB
  205. Fri Jul 22 12:24:31 2016  commencing in-memory singleton removal
  206. Fri Jul 22 12:24:39 2016  begin with 203675622 relations and 162948531 unique ideals
  207. Fri Jul 22 12:25:56 2016  reduce to 138386805 relations and 91451215 ideals in 13 passes
  208. Fri Jul 22 12:25:56 2016  max relations containing the same ideal: 43
  209. Fri Jul 22 12:26:07 2016  reading ideals above 720000
  210. Fri Jul 22 12:26:07 2016  commencing singleton removal, initial pass
  211. Fri Jul 22 12:42:16 2016  memory use: 2756.0 MB
  212. Fri Jul 22 12:42:16 2016  reading all ideals from disk
  213. Fri Jul 22 12:42:30 2016  memory use: 5347.4 MB
  214. Fri Jul 22 12:42:42 2016  keeping 104434281 ideals with weight <= 200, target excess is 698081
  215. Fri Jul 22 12:42:53 2016  commencing in-memory singleton removal
  216. Fri Jul 22 12:43:04 2016  begin with 138386805 relations and 104434281 unique ideals
  217. Fri Jul 22 12:43:40 2016  reduce to 138386729 relations and 104434205 ideals in 4 passes
  218. Fri Jul 22 12:43:40 2016  max relations containing the same ideal: 200
  219. Fri Jul 22 12:44:26 2016  removing 10045924 relations and 8045924 ideals in 2000000 cliques
  220. Fri Jul 22 12:44:30 2016  commencing in-memory singleton removal
  221. Fri Jul 22 12:44:40 2016  begin with 128340805 relations and 104434205 unique ideals
  222. Fri Jul 22 12:45:39 2016  reduce to 127802280 relations and 95840011 ideals in 7 passes
  223. Fri Jul 22 12:45:39 2016  max relations containing the same ideal: 198
  224. Fri Jul 22 12:46:22 2016  removing 7645123 relations and 5645124 ideals in 2000000 cliques
  225. Fri Jul 22 12:46:24 2016  commencing in-memory singleton removal
  226. Fri Jul 22 12:46:33 2016  begin with 120157157 relations and 95840011 unique ideals
  227. Fri Jul 22 12:47:28 2016  reduce to 119796573 relations and 89828335 ideals in 7 passes
  228. Fri Jul 22 12:47:28 2016  max relations containing the same ideal: 193
  229. Fri Jul 22 12:48:07 2016  removing 6950414 relations and 4950414 ideals in 2000000 cliques
  230. Fri Jul 22 12:48:10 2016  commencing in-memory singleton removal
  231. Fri Jul 22 12:48:18 2016  begin with 112846159 relations and 89828335 unique ideals
  232. Fri Jul 22 12:49:09 2016  reduce to 112532639 relations and 84559395 ideals in 7 passes
  233. Fri Jul 22 12:49:09 2016  max relations containing the same ideal: 185
  234. Fri Jul 22 12:49:46 2016  removing 6590113 relations and 4590113 ideals in 2000000 cliques
  235. Fri Jul 22 12:49:48 2016  commencing in-memory singleton removal
  236. Fri Jul 22 12:49:56 2016  begin with 105942526 relations and 84559395 unique ideals
  237. Fri Jul 22 12:50:43 2016  reduce to 105653069 relations and 79674982 ideals in 7 passes
  238. Fri Jul 22 12:50:43 2016  max relations containing the same ideal: 177
  239. Fri Jul 22 12:51:19 2016  removing 6362639 relations and 4362639 ideals in 2000000 cliques
  240. Fri Jul 22 12:51:21 2016  commencing in-memory singleton removal
  241. Fri Jul 22 12:51:28 2016  begin with 99290430 relations and 79674982 unique ideals
  242. Fri Jul 22 12:52:12 2016  reduce to 99011917 relations and 75029019 ideals in 7 passes
  243. Fri Jul 22 12:52:12 2016  max relations containing the same ideal: 172
  244. Fri Jul 22 12:52:45 2016  removing 6204964 relations and 4204964 ideals in 2000000 cliques
  245. Fri Jul 22 12:52:47 2016  commencing in-memory singleton removal
  246. Fri Jul 22 12:52:53 2016  begin with 92806953 relations and 75029019 unique ideals
  247. Fri Jul 22 12:53:34 2016  reduce to 92533224 relations and 70545267 ideals in 7 passes
  248. Fri Jul 22 12:53:34 2016  max relations containing the same ideal: 164
  249. Fri Jul 22 12:54:05 2016  removing 6085617 relations and 4085617 ideals in 2000000 cliques
  250. Fri Jul 22 12:54:07 2016  commencing in-memory singleton removal
  251. Fri Jul 22 12:54:13 2016  begin with 86447607 relations and 70545267 unique ideals
  252. Fri Jul 22 12:54:50 2016  reduce to 86173778 relations and 66180545 ideals in 7 passes
  253. Fri Jul 22 12:54:50 2016  max relations containing the same ideal: 154
  254. Fri Jul 22 12:55:19 2016  removing 6001216 relations and 4001216 ideals in 2000000 cliques
  255. Fri Jul 22 12:55:21 2016  commencing in-memory singleton removal
  256. Fri Jul 22 12:55:26 2016  begin with 80172562 relations and 66180545 unique ideals
  257. Fri Jul 22 12:56:00 2016  reduce to 79894345 relations and 61895302 ideals in 7 passes
  258. Fri Jul 22 12:56:00 2016  max relations containing the same ideal: 146
  259. Fri Jul 22 12:56:27 2016  removing 5933916 relations and 3933916 ideals in 2000000 cliques
  260. Fri Jul 22 12:56:29 2016  commencing in-memory singleton removal
  261. Fri Jul 22 12:56:34 2016  begin with 73960429 relations and 61895302 unique ideals
  262. Fri Jul 22 12:57:00 2016  reduce to 73672866 relations and 57667357 ideals in 6 passes
  263. Fri Jul 22 12:57:00 2016  max relations containing the same ideal: 141
  264. Fri Jul 22 12:57:25 2016  removing 5887199 relations and 3887199 ideals in 2000000 cliques
  265. Fri Jul 22 12:57:27 2016  commencing in-memory singleton removal
  266. Fri Jul 22 12:57:32 2016  begin with 67785667 relations and 57667357 unique ideals
  267. Fri Jul 22 12:57:56 2016  reduce to 67483887 relations and 53471204 ideals in 6 passes
  268. Fri Jul 22 12:57:56 2016  max relations containing the same ideal: 133
  269. Fri Jul 22 12:58:18 2016  removing 5854733 relations and 3854733 ideals in 2000000 cliques
  270. Fri Jul 22 12:58:20 2016  commencing in-memory singleton removal
  271. Fri Jul 22 12:58:24 2016  begin with 61629154 relations and 53471204 unique ideals
  272. Fri Jul 22 12:58:45 2016  reduce to 61312102 relations and 49291211 ideals in 6 passes
  273. Fri Jul 22 12:58:45 2016  max relations containing the same ideal: 128
  274. Fri Jul 22 12:59:06 2016  removing 5836372 relations and 3836372 ideals in 2000000 cliques
  275. Fri Jul 22 12:59:07 2016  commencing in-memory singleton removal
  276. Fri Jul 22 12:59:11 2016  begin with 55475730 relations and 49291211 unique ideals
  277. Fri Jul 22 12:59:32 2016  reduce to 55133341 relations and 45102697 ideals in 7 passes
  278. Fri Jul 22 12:59:32 2016  max relations containing the same ideal: 113
  279. Fri Jul 22 12:59:50 2016  removing 5824046 relations and 3824046 ideals in 2000000 cliques
  280. Fri Jul 22 12:59:52 2016  commencing in-memory singleton removal
  281. Fri Jul 22 12:59:55 2016  begin with 49309295 relations and 45102697 unique ideals
  282. Fri Jul 22 13:00:13 2016  reduce to 48937145 relations and 40895080 ideals in 7 passes
  283. Fri Jul 22 13:00:13 2016  max relations containing the same ideal: 106
  284. Fri Jul 22 13:00:29 2016  removing 5822928 relations and 3822928 ideals in 2000000 cliques
  285. Fri Jul 22 13:00:31 2016  commencing in-memory singleton removal
  286. Fri Jul 22 13:00:33 2016  begin with 43114217 relations and 40895080 unique ideals
  287. Fri Jul 22 13:00:49 2016  reduce to 42699417 relations and 36642863 ideals in 7 passes
  288. Fri Jul 22 13:00:49 2016  max relations containing the same ideal: 98
  289. Fri Jul 22 13:01:03 2016  removing 5836937 relations and 3836937 ideals in 2000000 cliques
  290. Fri Jul 22 13:01:05 2016  commencing in-memory singleton removal
  291. Fri Jul 22 13:01:07 2016  begin with 36862480 relations and 36642863 unique ideals
  292. Fri Jul 22 13:01:21 2016  reduce to 36386854 relations and 32311340 ideals in 8 passes
  293. Fri Jul 22 13:01:21 2016  max relations containing the same ideal: 86
  294. Fri Jul 22 13:01:33 2016  removing 5863089 relations and 3863089 ideals in 2000000 cliques
  295. Fri Jul 22 13:01:34 2016  commencing in-memory singleton removal
  296. Fri Jul 22 13:01:36 2016  begin with 30523765 relations and 32311340 unique ideals
  297. Fri Jul 22 13:01:47 2016  reduce to 29949483 relations and 27847252 ideals in 8 passes
  298. Fri Jul 22 13:01:47 2016  max relations containing the same ideal: 76
  299. Fri Jul 22 13:01:56 2016  removing 4114225 relations and 2821768 ideals in 1292457 cliques
  300. Fri Jul 22 13:01:57 2016  commencing in-memory singleton removal
  301. Fri Jul 22 13:01:59 2016  begin with 25835258 relations and 27847252 unique ideals
  302. Fri Jul 22 13:02:06 2016  reduce to 25448514 relations and 24624036 ideals in 7 passes
  303. Fri Jul 22 13:02:06 2016  max relations containing the same ideal: 71
  304. Fri Jul 22 13:02:14 2016  removing 92795 relations and 78091 ideals in 14704 cliques
  305. Fri Jul 22 13:02:15 2016  commencing in-memory singleton removal
  306. Fri Jul 22 13:02:16 2016  begin with 25355719 relations and 24624036 unique ideals
  307. Fri Jul 22 13:02:21 2016  reduce to 25355441 relations and 24545667 ideals in 5 passes
  308. Fri Jul 22 13:02:21 2016  max relations containing the same ideal: 71
  309. Fri Jul 22 13:02:25 2016  relations with 0 large ideals: 26587
  310. Fri Jul 22 13:02:25 2016  relations with 1 large ideals: 14090
  311. Fri Jul 22 13:02:25 2016  relations with 2 large ideals: 181747
  312. Fri Jul 22 13:02:25 2016  relations with 3 large ideals: 1066081
  313. Fri Jul 22 13:02:25 2016  relations with 4 large ideals: 3306857
  314. Fri Jul 22 13:02:25 2016  relations with 5 large ideals: 6016377
  315. Fri Jul 22 13:02:25 2016  relations with 6 large ideals: 6773766
  316. Fri Jul 22 13:02:25 2016  relations with 7+ large ideals: 7969936
  317. Fri Jul 22 13:02:25 2016  commencing 2-way merge
  318. Fri Jul 22 13:02:36 2016  reduce to 16948953 relation sets and 16139179 unique ideals
  319. Fri Jul 22 13:02:36 2016  commencing full merge
  320. Fri Jul 22 13:08:30 2016  memory use: 2141.6 MB
  321. Fri Jul 22 13:08:33 2016  found 7623370 cycles, need 7579379
  322. Fri Jul 22 13:08:33 2016  weight of 7579379 cycles is about 909695803 (120.02/cycle)
  323. Fri Jul 22 13:08:33 2016  distribution of cycle lengths:
  324. Fri Jul 22 13:08:33 2016  1 relations: 238474
  325. Fri Jul 22 13:08:33 2016  2 relations: 390153
  326. Fri Jul 22 13:08:33 2016  3 relations: 493322
  327. Fri Jul 22 13:08:33 2016  4 relations: 531812
  328. Fri Jul 22 13:08:33 2016  5 relations: 564137
  329. Fri Jul 22 13:08:33 2016  6 relations: 574045
  330. Fri Jul 22 13:08:33 2016  7 relations: 569274
  331. Fri Jul 22 13:08:33 2016  8 relations: 550374
  332. Fri Jul 22 13:08:33 2016  9 relations: 517884
  333. Fri Jul 22 13:08:33 2016  10+ relations: 3149904
  334. Fri Jul 22 13:08:33 2016  heaviest cycle: 28 relations
  335. Fri Jul 22 13:08:35 2016  commencing cycle optimization
  336. Fri Jul 22 13:08:50 2016  start with 69132805 relations
  337. Fri Jul 22 13:11:34 2016  pruned 3489059 relations
  338. Fri Jul 22 13:11:34 2016  memory use: 1764.9 MB
  339. Fri Jul 22 13:11:34 2016  distribution of cycle lengths:
  340. Fri Jul 22 13:11:34 2016  1 relations: 238474
  341. Fri Jul 22 13:11:34 2016  2 relations: 400409
  342. Fri Jul 22 13:11:34 2016  3 relations: 514392
  343. Fri Jul 22 13:11:34 2016  4 relations: 556238
  344. Fri Jul 22 13:11:34 2016  5 relations: 596214
  345. Fri Jul 22 13:11:34 2016  6 relations: 606427
  346. Fri Jul 22 13:11:34 2016  7 relations: 604024
  347. Fri Jul 22 13:11:34 2016  8 relations: 582182
  348. Fri Jul 22 13:11:34 2016  9 relations: 546936
  349. Fri Jul 22 13:11:34 2016  10+ relations: 2934083
  350. Fri Jul 22 13:11:34 2016  heaviest cycle: 28 relations
  351. Fri Jul 22 13:11:45 2016  RelProcTime: 5863
  352. Fri Jul 22 13:11:45 2016  
  353. Fri Jul 22 13:11:45 2016  commencing linear algebra
  354. Fri Jul 22 13:11:46 2016  read 7579379 cycles
  355. Fri Jul 22 13:12:02 2016  cycles contain 24964409 unique relations
  356. Fri Jul 22 13:15:58 2016  read 24964409 relations
  357. Fri Jul 22 13:16:33 2016  using 20 quadratic characters above 4294917295
  358. Fri Jul 22 13:18:05 2016  building initial matrix
  359. Fri Jul 22 13:22:28 2016  memory use: 3196.9 MB
  360. Fri Jul 22 13:22:40 2016  read 7579379 cycles
  361. Fri Jul 22 13:22:41 2016  matrix is 7579202 x 7579379 (3537.0 MB) with weight 1021059271 (134.72/col)
  362. Fri Jul 22 13:22:41 2016  sparse part has weight 843832617 (111.33/col)
  363. Fri Jul 22 13:23:49 2016  filtering completed in 2 passes
  364. Fri Jul 22 13:23:50 2016  matrix is 7579042 x 7579219 (3537.0 MB) with weight 1021052307 (134.72/col)
  365. Fri Jul 22 13:23:50 2016  sparse part has weight 843829595 (111.33/col)
  366. Fri Jul 22 13:24:14 2016  matrix starts at (0, 0)
  367. Fri Jul 22 13:24:14 2016  matrix is 7579042 x 7579219 (3537.0 MB) with weight 1021052307 (134.72/col)
  368. Fri Jul 22 13:24:14 2016  sparse part has weight 843829595 (111.33/col)
  369. Fri Jul 22 13:24:14 2016  saving the first 48 matrix rows for later
  370. Fri Jul 22 13:24:15 2016  matrix includes 64 packed rows
  371. Fri Jul 22 13:24:16 2016  matrix is 7578994 x 7579219 (3401.9 MB) with weight 876121687 (115.60/col)
  372. Fri Jul 22 13:24:16 2016  sparse part has weight 815992676 (107.66/col)
  373. Fri Jul 22 13:24:16 2016  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
  374. Fri Jul 22 13:24:54 2016  commencing Lanczos iteration (4 threads)
  375. Fri Jul 22 13:24:54 2016  memory use: 2888.4 MB
  376. Fri Jul 22 13:25:23 2016  linear algebra at 0.0%, ETA 39h 8m
  377. Fri Jul 22 13:25:32 2016  checkpointing every 200000 dimensions
  378. Sun Jul 24 03:20:30 2016  lanczos halted after 119856 iterations (dim = 7578991)
  379. Sun Jul 24 03:20:38 2016  recovered 36 nontrivial dependencies
  380. Sun Jul 24 03:20:39 2016  BLanczosTime: 137334
  381. Sun Jul 24 03:20:39 2016  
  382. Sun Jul 24 03:20:39 2016  commencing square root phase
  383. Sun Jul 24 03:20:39 2016  handling dependencies 1 to 64
  384. Sun Jul 24 03:20:39 2016  reading relations for dependency 1
  385. Sun Jul 24 03:20:40 2016  read 3789263 cycles
  386. Sun Jul 24 03:20:46 2016  cycles contain 12480724 unique relations
  387. Sun Jul 24 03:23:53 2016  read 12480724 relations
  388. Sun Jul 24 03:24:39 2016  multiplying 12480724 relations
  389. Sun Jul 24 03:31:38 2016  multiply complete, coefficients have about 329.32 million bits
  390. Sun Jul 24 03:31:39 2016  initial square root is modulo 811351
  391. Sun Jul 24 03:38:24 2016  sqrtTime: 1065
  392. Sun Jul 24 03:38:24 2016  p73 factor: 1605067774539243622044361269647784591202366500260709253261497262472775359
  393. Sun Jul 24 03:38:24 2016  p96 factor: 669267936624316823290107417411785405072677208186353319177647005738068261245629593246454374982067
  394. Sun Jul 24 03:38:24 2016  elapsed time 40:04:23
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