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7p6_340

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Aug 20th, 2020
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  1. Mon Aug 17 08:47:04 2020
  2. Mon Aug 17 08:47:04 2020
  3. Mon Aug 17 08:47:04 2020 Msieve v. 1.53 (SVN 988M)
  4. Mon Aug 17 08:47:04 2020 random seeds: aa8c8624 e178de0a
  5. Mon Aug 17 08:47:04 2020 factoring 1104277160581848243640939839573224306675052031675302549881712558895950976450012717247273586519410180764317597644711240748165018059265723208169780563984379106490188544785108686741059945876344205901471818201 (205 digits)
  6. Mon Aug 17 08:47:05 2020 searching for 15-digit factors
  7. Mon Aug 17 08:47:06 2020 commencing number field sieve (205-digit input)
  8. Mon Aug 17 08:47:06 2020 R0: 2928644930813641516032715844013695341634232321209103400801
  9. Mon Aug 17 08:47:06 2020 R1: -82089011515213367907186323883068205046425814529212416
  10. Mon Aug 17 08:47:06 2020 A0: 1
  11. Mon Aug 17 08:47:06 2020 A1: -1
  12. Mon Aug 17 08:47:06 2020 A2: 1
  13. Mon Aug 17 08:47:06 2020 A3: -1
  14. Mon Aug 17 08:47:06 2020 A4: 1
  15. Mon Aug 17 08:47:06 2020 skew 1.00, size 2.110e-23, alpha 1.694, combined = 6.015e-14 rroots = 0
  16. Mon Aug 17 08:47:06 2020
  17. Mon Aug 17 08:47:06 2020 commencing relation filtering
  18. Mon Aug 17 08:47:06 2020 setting target matrix density to 120.0
  19. Mon Aug 17 08:47:06 2020 estimated available RAM is 32768.0 MB
  20. Mon Aug 17 08:47:06 2020 commencing duplicate removal, pass 1
  21. Mon Aug 17 09:12:44 2020 error -5 reading relation 259851036
  22. Mon Aug 17 09:13:45 2020 error -15 reading relation 270103252
  23. Mon Aug 17 09:15:39 2020 error -15 reading relation 289425154
  24. Mon Aug 17 09:20:07 2020 error -15 reading relation 334852478
  25. Mon Aug 17 09:23:05 2020 skipped 3030 relations with b > 2^32
  26. Mon Aug 17 09:23:05 2020 skipped 1 relations with composite factors
  27. Mon Aug 17 09:23:05 2020 found 27767469 hash collisions in 364893395 relations
  28. Mon Aug 17 09:23:10 2020 added 3657741 free relations
  29. Mon Aug 17 09:23:10 2020 commencing duplicate removal, pass 2
  30. Mon Aug 17 09:38:25 2020 found 1 duplicates and 368551135 unique relations
  31. Mon Aug 17 09:38:25 2020 memory use: 1321.5 MB
  32. Mon Aug 17 09:38:25 2020 reading ideals above 319881216
  33. Mon Aug 17 09:38:25 2020 commencing singleton removal, initial pass
  34. Mon Aug 17 10:04:05 2020 memory use: 6024.0 MB
  35. Mon Aug 17 10:04:05 2020 reading all ideals from disk
  36. Mon Aug 17 10:06:37 2020 memory use: 6409.1 MB
  37. Mon Aug 17 10:06:50 2020 commencing in-memory singleton removal
  38. Mon Aug 17 10:07:02 2020 begin with 368551135 relations and 298188753 unique ideals
  39. Mon Aug 17 10:09:38 2020 reduce to 245062302 relations and 162456185 ideals in 14 passes
  40. Mon Aug 17 10:09:38 2020 max relations containing the same ideal: 44
  41. Mon Aug 17 10:10:07 2020 reading ideals above 720000
  42. Mon Aug 17 10:10:07 2020 commencing singleton removal, initial pass
  43. Mon Aug 17 10:34:03 2020 memory use: 5512.0 MB
  44. Mon Aug 17 10:34:04 2020 reading all ideals from disk
  45. Mon Aug 17 10:37:58 2020 memory use: 9933.1 MB
  46. Mon Aug 17 10:38:20 2020 keeping 195803596 ideals with weight <= 200, target excess is 1176511
  47. Mon Aug 17 10:38:43 2020 commencing in-memory singleton removal
  48. Mon Aug 17 10:39:00 2020 begin with 245062302 relations and 195803596 unique ideals
  49. Mon Aug 17 10:41:47 2020 reduce to 244929372 relations and 195670645 ideals in 9 passes
  50. Mon Aug 17 10:41:47 2020 max relations containing the same ideal: 200
  51. Mon Aug 17 10:43:16 2020 removing 12660579 relations and 10660579 ideals in 2000000 cliques
  52. Mon Aug 17 10:43:21 2020 commencing in-memory singleton removal
  53. Mon Aug 17 10:43:37 2020 begin with 232268793 relations and 195670645 unique ideals
  54. Mon Aug 17 10:45:57 2020 reduce to 231744143 relations and 184479301 ideals in 8 passes
  55. Mon Aug 17 10:45:57 2020 max relations containing the same ideal: 200
  56. Mon Aug 17 10:47:21 2020 removing 9560921 relations and 7560921 ideals in 2000000 cliques
  57. Mon Aug 17 10:47:25 2020 commencing in-memory singleton removal
  58. Mon Aug 17 10:47:41 2020 begin with 222183222 relations and 184479301 unique ideals
  59. Mon Aug 17 10:49:53 2020 reduce to 221851778 relations and 176583769 ideals in 8 passes
  60. Mon Aug 17 10:49:53 2020 max relations containing the same ideal: 196
  61. Mon Aug 17 10:51:14 2020 removing 8589373 relations and 6589373 ideals in 2000000 cliques
  62. Mon Aug 17 10:51:18 2020 commencing in-memory singleton removal
  63. Mon Aug 17 10:51:33 2020 begin with 213262405 relations and 176583769 unique ideals
  64. Mon Aug 17 10:53:08 2020 reduce to 212979161 relations and 169708450 ideals in 6 passes
  65. Mon Aug 17 10:53:08 2020 max relations containing the same ideal: 192
  66. Mon Aug 17 10:54:26 2020 removing 8058579 relations and 6058579 ideals in 2000000 cliques
  67. Mon Aug 17 10:54:29 2020 commencing in-memory singleton removal
  68. Mon Aug 17 10:54:43 2020 begin with 204920582 relations and 169708450 unique ideals
  69. Mon Aug 17 10:56:31 2020 reduce to 204660309 relations and 163387145 ideals in 7 passes
  70. Mon Aug 17 10:56:31 2020 max relations containing the same ideal: 189
  71. Mon Aug 17 10:57:46 2020 removing 7712197 relations and 5712197 ideals in 2000000 cliques
  72. Mon Aug 17 10:57:49 2020 commencing in-memory singleton removal
  73. Mon Aug 17 10:58:03 2020 begin with 196948112 relations and 163387145 unique ideals
  74. Mon Aug 17 10:59:45 2020 reduce to 196701817 relations and 157426339 ideals in 7 passes
  75. Mon Aug 17 10:59:45 2020 max relations containing the same ideal: 184
  76. Mon Aug 17 11:00:58 2020 removing 7472256 relations and 5472256 ideals in 2000000 cliques
  77. Mon Aug 17 11:01:01 2020 commencing in-memory singleton removal
  78. Mon Aug 17 11:01:14 2020 begin with 189229561 relations and 157426339 unique ideals
  79. Mon Aug 17 11:02:52 2020 reduce to 188990613 relations and 151712780 ideals in 7 passes
  80. Mon Aug 17 11:02:52 2020 max relations containing the same ideal: 182
  81. Mon Aug 17 11:04:02 2020 removing 7289320 relations and 5289320 ideals in 2000000 cliques
  82. Mon Aug 17 11:04:05 2020 commencing in-memory singleton removal
  83. Mon Aug 17 11:04:17 2020 begin with 181701293 relations and 151712780 unique ideals
  84. Mon Aug 17 11:05:51 2020 reduce to 181467262 relations and 146187070 ideals in 7 passes
  85. Mon Aug 17 11:05:51 2020 max relations containing the same ideal: 175
  86. Mon Aug 17 11:06:57 2020 removing 7154050 relations and 5154050 ideals in 2000000 cliques
  87. Mon Aug 17 11:07:01 2020 commencing in-memory singleton removal
  88. Mon Aug 17 11:07:13 2020 begin with 174313212 relations and 146187070 unique ideals
  89. Mon Aug 17 11:08:42 2020 reduce to 174080024 relations and 140797475 ideals in 7 passes
  90. Mon Aug 17 11:08:42 2020 max relations containing the same ideal: 170
  91. Mon Aug 17 11:09:46 2020 removing 7051582 relations and 5051582 ideals in 2000000 cliques
  92. Mon Aug 17 11:09:49 2020 commencing in-memory singleton removal
  93. Mon Aug 17 11:10:00 2020 begin with 167028442 relations and 140797475 unique ideals
  94. Mon Aug 17 11:11:38 2020 reduce to 166795680 relations and 135510643 ideals in 8 passes
  95. Mon Aug 17 11:11:38 2020 max relations containing the same ideal: 165
  96. Mon Aug 17 11:12:39 2020 removing 6970810 relations and 4970810 ideals in 2000000 cliques
  97. Mon Aug 17 11:12:43 2020 commencing in-memory singleton removal
  98. Mon Aug 17 11:12:53 2020 begin with 159824870 relations and 135510643 unique ideals
  99. Mon Aug 17 11:14:15 2020 reduce to 159589430 relations and 130301774 ideals in 7 passes
  100. Mon Aug 17 11:14:15 2020 max relations containing the same ideal: 161
  101. Mon Aug 17 11:15:14 2020 removing 6903572 relations and 4903572 ideals in 2000000 cliques
  102. Mon Aug 17 11:15:18 2020 commencing in-memory singleton removal
  103. Mon Aug 17 11:15:28 2020 begin with 152685858 relations and 130301774 unique ideals
  104. Mon Aug 17 11:16:45 2020 reduce to 152446086 relations and 125155657 ideals in 7 passes
  105. Mon Aug 17 11:16:45 2020 max relations containing the same ideal: 158
  106. Mon Aug 17 11:17:42 2020 removing 6851852 relations and 4851852 ideals in 2000000 cliques
  107. Mon Aug 17 11:17:45 2020 commencing in-memory singleton removal
  108. Mon Aug 17 11:17:55 2020 begin with 145594234 relations and 125155657 unique ideals
  109. Mon Aug 17 11:19:08 2020 reduce to 145350879 relations and 120057484 ideals in 7 passes
  110. Mon Aug 17 11:19:08 2020 max relations containing the same ideal: 152
  111. Mon Aug 17 11:20:03 2020 removing 6817804 relations and 4817804 ideals in 2000000 cliques
  112. Mon Aug 17 11:20:06 2020 commencing in-memory singleton removal
  113. Mon Aug 17 11:20:15 2020 begin with 138533075 relations and 120057484 unique ideals
  114. Mon Aug 17 11:21:25 2020 reduce to 138282821 relations and 114986227 ideals in 7 passes
  115. Mon Aug 17 11:21:25 2020 max relations containing the same ideal: 147
  116. Mon Aug 17 11:22:17 2020 removing 6789601 relations and 4789601 ideals in 2000000 cliques
  117. Mon Aug 17 11:22:20 2020 commencing in-memory singleton removal
  118. Mon Aug 17 11:22:28 2020 begin with 131493220 relations and 114986227 unique ideals
  119. Mon Aug 17 11:23:25 2020 reduce to 131234845 relations and 109934789 ideals in 6 passes
  120. Mon Aug 17 11:23:25 2020 max relations containing the same ideal: 142
  121. Mon Aug 17 11:24:14 2020 removing 6775684 relations and 4775684 ideals in 2000000 cliques
  122. Mon Aug 17 11:24:17 2020 commencing in-memory singleton removal
  123. Mon Aug 17 11:24:25 2020 begin with 124459161 relations and 109934789 unique ideals
  124. Mon Aug 17 11:25:18 2020 reduce to 124189601 relations and 104885861 ideals in 6 passes
  125. Mon Aug 17 11:25:18 2020 max relations containing the same ideal: 139
  126. Mon Aug 17 11:26:05 2020 removing 6769336 relations and 4769336 ideals in 2000000 cliques
  127. Mon Aug 17 11:26:07 2020 commencing in-memory singleton removal
  128. Mon Aug 17 11:26:15 2020 begin with 117420265 relations and 104885861 unique ideals
  129. Mon Aug 17 11:27:05 2020 reduce to 117140840 relations and 99833059 ideals in 6 passes
  130. Mon Aug 17 11:27:05 2020 max relations containing the same ideal: 133
  131. Mon Aug 17 11:27:49 2020 removing 6771953 relations and 4771953 ideals in 2000000 cliques
  132. Mon Aug 17 11:27:52 2020 commencing in-memory singleton removal
  133. Mon Aug 17 11:27:59 2020 begin with 110368887 relations and 99833059 unique ideals
  134. Mon Aug 17 11:28:53 2020 reduce to 110075352 relations and 94763208 ideals in 7 passes
  135. Mon Aug 17 11:28:53 2020 max relations containing the same ideal: 128
  136. Mon Aug 17 11:29:35 2020 removing 6776903 relations and 4776903 ideals in 2000000 cliques
  137. Mon Aug 17 11:29:37 2020 commencing in-memory singleton removal
  138. Mon Aug 17 11:29:44 2020 begin with 103298449 relations and 94763208 unique ideals
  139. Mon Aug 17 11:30:27 2020 reduce to 102988609 relations and 89671386 ideals in 6 passes
  140. Mon Aug 17 11:30:27 2020 max relations containing the same ideal: 121
  141. Mon Aug 17 11:31:06 2020 removing 6795565 relations and 4795565 ideals in 2000000 cliques
  142. Mon Aug 17 11:31:08 2020 commencing in-memory singleton removal
  143. Mon Aug 17 11:31:14 2020 begin with 96193044 relations and 89671386 unique ideals
  144. Mon Aug 17 11:32:01 2020 reduce to 95862773 relations and 84539828 ideals in 7 passes
  145. Mon Aug 17 11:32:01 2020 max relations containing the same ideal: 114
  146. Mon Aug 17 11:32:37 2020 removing 6820995 relations and 4820995 ideals in 2000000 cliques
  147. Mon Aug 17 11:32:40 2020 commencing in-memory singleton removal
  148. Mon Aug 17 11:32:45 2020 begin with 89041778 relations and 84539828 unique ideals
  149. Mon Aug 17 11:33:28 2020 reduce to 88685849 relations and 79356392 ideals in 7 passes
  150. Mon Aug 17 11:33:28 2020 max relations containing the same ideal: 110
  151. Mon Aug 17 11:34:02 2020 removing 6861851 relations and 4861851 ideals in 2000000 cliques
  152. Mon Aug 17 11:34:04 2020 commencing in-memory singleton removal
  153. Mon Aug 17 11:34:09 2020 begin with 81823998 relations and 79356392 unique ideals
  154. Mon Aug 17 11:34:48 2020 reduce to 81437795 relations and 74100843 ideals in 7 passes
  155. Mon Aug 17 11:34:48 2020 max relations containing the same ideal: 105
  156. Mon Aug 17 11:35:20 2020 removing 6912371 relations and 4912371 ideals in 2000000 cliques
  157. Mon Aug 17 11:35:23 2020 commencing in-memory singleton removal
  158. Mon Aug 17 11:35:27 2020 begin with 74525424 relations and 74100843 unique ideals
  159. Mon Aug 17 11:36:03 2020 reduce to 74097035 relations and 68750932 ideals in 7 passes
  160. Mon Aug 17 11:36:03 2020 max relations containing the same ideal: 97
  161. Mon Aug 17 11:36:32 2020 removing 6978767 relations and 4978767 ideals in 2000000 cliques
  162. Mon Aug 17 11:36:34 2020 commencing in-memory singleton removal
  163. Mon Aug 17 11:36:38 2020 begin with 67118268 relations and 68750932 unique ideals
  164. Mon Aug 17 11:37:10 2020 reduce to 66632637 relations and 63275315 ideals in 7 passes
  165. Mon Aug 17 11:37:10 2020 max relations containing the same ideal: 92
  166. Mon Aug 17 11:37:36 2020 removing 7051481 relations and 5058912 ideals in 1992569 cliques
  167. Mon Aug 17 11:37:38 2020 commencing in-memory singleton removal
  168. Mon Aug 17 11:37:42 2020 begin with 59581156 relations and 63275315 unique ideals
  169. Mon Aug 17 11:38:13 2020 reduce to 59017629 relations and 57638693 ideals in 8 passes
  170. Mon Aug 17 11:38:13 2020 max relations containing the same ideal: 84
  171. Mon Aug 17 11:38:37 2020 removing 110194 relations and 96011 ideals in 14183 cliques
  172. Mon Aug 17 11:38:38 2020 commencing in-memory singleton removal
  173. Mon Aug 17 11:38:42 2020 begin with 58907435 relations and 57638693 unique ideals
  174. Mon Aug 17 11:38:58 2020 reduce to 58907321 relations and 57542568 ideals in 4 passes
  175. Mon Aug 17 11:38:58 2020 max relations containing the same ideal: 83
  176. Mon Aug 17 11:39:05 2020 relations with 0 large ideals: 92243
  177. Mon Aug 17 11:39:05 2020 relations with 1 large ideals: 23096
  178. Mon Aug 17 11:39:05 2020 relations with 2 large ideals: 286338
  179. Mon Aug 17 11:39:05 2020 relations with 3 large ideals: 1786841
  180. Mon Aug 17 11:39:05 2020 relations with 4 large ideals: 6153991
  181. Mon Aug 17 11:39:05 2020 relations with 5 large ideals: 14459253
  182. Mon Aug 17 11:39:05 2020 relations with 6 large ideals: 15559295
  183. Mon Aug 17 11:39:05 2020 relations with 7+ large ideals: 20546264
  184. Mon Aug 17 11:39:05 2020 commencing 2-way merge
  185. Mon Aug 17 11:39:37 2020 reduce to 38900481 relation sets and 37535728 unique ideals
  186. Mon Aug 17 11:39:38 2020 commencing full merge
  187. Mon Aug 17 12:02:56 2020 memory use: 1743.4 MB
  188. Mon Aug 17 12:02:56 2020 found 222046 cycles, need 8415211
  189. Mon Aug 17 12:02:56 2020 too few cycles, matrix probably cannot build
  190. Mon Aug 17 13:17:13 2020
  191. Mon Aug 17 13:17:13 2020
  192. Mon Aug 17 13:17:13 2020 Msieve v. 1.53 (SVN 988M)
  193. Mon Aug 17 13:17:13 2020 random seeds: 5c38e110 dfa6622f
  194. Mon Aug 17 13:17:13 2020 factoring 1104277160581848243640939839573224306675052031675302549881712558895950976450012717247273586519410180764317597644711240748165018059265723208169780563984379106490188544785108686741059945876344205901471818201 (205 digits)
  195. Mon Aug 17 13:17:14 2020 searching for 15-digit factors
  196. Mon Aug 17 13:17:15 2020 commencing number field sieve (205-digit input)
  197. Mon Aug 17 13:17:15 2020 R0: 2928644930813641516032715844013695341634232321209103400801
  198. Mon Aug 17 13:17:15 2020 R1: -82089011515213367907186323883068205046425814529212416
  199. Mon Aug 17 13:17:15 2020 A0: 1
  200. Mon Aug 17 13:17:15 2020 A1: -1
  201. Mon Aug 17 13:17:15 2020 A2: 1
  202. Mon Aug 17 13:17:15 2020 A3: -1
  203. Mon Aug 17 13:17:15 2020 A4: 1
  204. Mon Aug 17 13:17:15 2020 skew 1.00, size 2.110e-23, alpha 1.694, combined = 6.015e-14 rroots = 0
  205. Mon Aug 17 13:17:15 2020
  206. Mon Aug 17 13:17:15 2020 commencing relation filtering
  207. Mon Aug 17 13:17:15 2020 setting target matrix density to 112.0
  208. Mon Aug 17 13:17:15 2020 estimated available RAM is 32768.0 MB
  209. Mon Aug 17 13:17:15 2020 commencing duplicate removal, pass 1
  210. Mon Aug 17 13:42:38 2020 error -5 reading relation 259851036
  211. Mon Aug 17 13:43:38 2020 error -15 reading relation 270103252
  212. Mon Aug 17 13:45:32 2020 error -15 reading relation 289425154
  213. Mon Aug 17 13:50:01 2020 error -15 reading relation 334852478
  214. Mon Aug 17 13:53:20 2020 skipped 3030 relations with b > 2^32
  215. Mon Aug 17 13:53:20 2020 skipped 1 relations with composite factors
  216. Mon Aug 17 13:53:20 2020 found 28294389 hash collisions in 368551136 relations
  217. Mon Aug 17 13:53:23 2020 commencing duplicate removal, pass 2
  218. Mon Aug 17 14:08:36 2020 found 1 duplicates and 368551135 unique relations
  219. Mon Aug 17 14:08:36 2020 memory use: 1321.5 MB
  220. Mon Aug 17 14:08:36 2020 reading ideals above 319881216
  221. Mon Aug 17 14:08:36 2020 commencing singleton removal, initial pass
  222. Mon Aug 17 14:34:12 2020 memory use: 6024.0 MB
  223. Mon Aug 17 14:34:13 2020 reading all ideals from disk
  224. Mon Aug 17 14:36:44 2020 memory use: 6409.1 MB
  225. Mon Aug 17 14:36:57 2020 commencing in-memory singleton removal
  226. Mon Aug 17 14:37:10 2020 begin with 368551135 relations and 298188753 unique ideals
  227. Mon Aug 17 14:39:45 2020 reduce to 245062302 relations and 162456185 ideals in 14 passes
  228. Mon Aug 17 14:39:45 2020 max relations containing the same ideal: 44
  229. Mon Aug 17 14:40:13 2020 reading ideals above 720000
  230. Mon Aug 17 14:40:14 2020 commencing singleton removal, initial pass
  231. Mon Aug 17 15:04:16 2020 memory use: 5512.0 MB
  232. Mon Aug 17 15:04:16 2020 reading all ideals from disk
  233. Mon Aug 17 15:08:11 2020 memory use: 9933.1 MB
  234. Mon Aug 17 15:08:34 2020 keeping 195803596 ideals with weight <= 200, target excess is 1176511
  235. Mon Aug 17 15:08:58 2020 commencing in-memory singleton removal
  236. Mon Aug 17 15:09:15 2020 begin with 245062302 relations and 195803596 unique ideals
  237. Mon Aug 17 15:12:09 2020 reduce to 244929372 relations and 195670645 ideals in 9 passes
  238. Mon Aug 17 15:12:09 2020 max relations containing the same ideal: 200
  239. Mon Aug 17 15:13:41 2020 removing 12660579 relations and 10660579 ideals in 2000000 cliques
  240. Mon Aug 17 15:13:46 2020 commencing in-memory singleton removal
  241. Mon Aug 17 15:14:02 2020 begin with 232268793 relations and 195670645 unique ideals
  242. Mon Aug 17 15:16:29 2020 reduce to 231744143 relations and 184479301 ideals in 8 passes
  243. Mon Aug 17 15:16:29 2020 max relations containing the same ideal: 200
  244. Mon Aug 17 15:17:56 2020 removing 9560921 relations and 7560921 ideals in 2000000 cliques
  245. Mon Aug 17 15:18:00 2020 commencing in-memory singleton removal
  246. Mon Aug 17 15:18:16 2020 begin with 222183222 relations and 184479301 unique ideals
  247. Mon Aug 17 15:20:35 2020 reduce to 221851778 relations and 176583769 ideals in 8 passes
  248. Mon Aug 17 15:20:35 2020 max relations containing the same ideal: 196
  249. Mon Aug 17 15:21:58 2020 removing 8589373 relations and 6589373 ideals in 2000000 cliques
  250. Mon Aug 17 15:22:02 2020 commencing in-memory singleton removal
  251. Mon Aug 17 15:22:17 2020 begin with 213262405 relations and 176583769 unique ideals
  252. Mon Aug 17 15:23:56 2020 reduce to 212979161 relations and 169708450 ideals in 6 passes
  253. Mon Aug 17 15:23:56 2020 max relations containing the same ideal: 192
  254. Mon Aug 17 15:25:16 2020 removing 8058579 relations and 6058579 ideals in 2000000 cliques
  255. Mon Aug 17 15:25:20 2020 commencing in-memory singleton removal
  256. Mon Aug 17 15:25:34 2020 begin with 204920582 relations and 169708450 unique ideals
  257. Mon Aug 17 15:27:26 2020 reduce to 204660309 relations and 163387145 ideals in 7 passes
  258. Mon Aug 17 15:27:26 2020 max relations containing the same ideal: 189
  259. Mon Aug 17 15:28:43 2020 removing 7712197 relations and 5712197 ideals in 2000000 cliques
  260. Mon Aug 17 15:28:47 2020 commencing in-memory singleton removal
  261. Mon Aug 17 15:29:01 2020 begin with 196948112 relations and 163387145 unique ideals
  262. Mon Aug 17 15:30:47 2020 reduce to 196701817 relations and 157426339 ideals in 7 passes
  263. Mon Aug 17 15:30:47 2020 max relations containing the same ideal: 184
  264. Mon Aug 17 15:32:01 2020 removing 7472256 relations and 5472256 ideals in 2000000 cliques
  265. Mon Aug 17 15:32:05 2020 commencing in-memory singleton removal
  266. Mon Aug 17 15:32:18 2020 begin with 189229561 relations and 157426339 unique ideals
  267. Mon Aug 17 15:34:01 2020 reduce to 188990613 relations and 151712780 ideals in 7 passes
  268. Mon Aug 17 15:34:01 2020 max relations containing the same ideal: 182
  269. Mon Aug 17 15:35:13 2020 removing 7289320 relations and 5289320 ideals in 2000000 cliques
  270. Mon Aug 17 15:35:17 2020 commencing in-memory singleton removal
  271. Mon Aug 17 15:35:29 2020 begin with 181701293 relations and 151712780 unique ideals
  272. Mon Aug 17 15:37:07 2020 reduce to 181467262 relations and 146187070 ideals in 7 passes
  273. Mon Aug 17 15:37:07 2020 max relations containing the same ideal: 175
  274. Mon Aug 17 15:38:16 2020 removing 7154050 relations and 5154050 ideals in 2000000 cliques
  275. Mon Aug 17 15:38:19 2020 commencing in-memory singleton removal
  276. Mon Aug 17 15:38:32 2020 begin with 174313212 relations and 146187070 unique ideals
  277. Mon Aug 17 15:40:05 2020 reduce to 174080024 relations and 140797475 ideals in 7 passes
  278. Mon Aug 17 15:40:05 2020 max relations containing the same ideal: 170
  279. Mon Aug 17 15:41:11 2020 removing 7051582 relations and 5051582 ideals in 2000000 cliques
  280. Mon Aug 17 15:41:15 2020 commencing in-memory singleton removal
  281. Mon Aug 17 15:41:26 2020 begin with 167028442 relations and 140797475 unique ideals
  282. Mon Aug 17 15:43:08 2020 reduce to 166795680 relations and 135510643 ideals in 8 passes
  283. Mon Aug 17 15:43:08 2020 max relations containing the same ideal: 165
  284. Mon Aug 17 15:44:12 2020 removing 6970810 relations and 4970810 ideals in 2000000 cliques
  285. Mon Aug 17 15:44:15 2020 commencing in-memory singleton removal
  286. Mon Aug 17 15:44:26 2020 begin with 159824870 relations and 135510643 unique ideals
  287. Mon Aug 17 15:45:52 2020 reduce to 159589430 relations and 130301774 ideals in 7 passes
  288. Mon Aug 17 15:45:52 2020 max relations containing the same ideal: 161
  289. Mon Aug 17 15:46:53 2020 removing 6903572 relations and 4903572 ideals in 2000000 cliques
  290. Mon Aug 17 15:46:56 2020 commencing in-memory singleton removal
  291. Mon Aug 17 15:47:07 2020 begin with 152685858 relations and 130301774 unique ideals
  292. Mon Aug 17 15:48:27 2020 reduce to 152446086 relations and 125155657 ideals in 7 passes
  293. Mon Aug 17 15:48:27 2020 max relations containing the same ideal: 158
  294. Mon Aug 17 15:49:26 2020 removing 6851852 relations and 4851852 ideals in 2000000 cliques
  295. Mon Aug 17 15:49:29 2020 commencing in-memory singleton removal
  296. Mon Aug 17 15:49:39 2020 begin with 145594234 relations and 125155657 unique ideals
  297. Mon Aug 17 15:50:55 2020 reduce to 145350879 relations and 120057484 ideals in 7 passes
  298. Mon Aug 17 15:50:55 2020 max relations containing the same ideal: 152
  299. Mon Aug 17 15:51:51 2020 removing 6817804 relations and 4817804 ideals in 2000000 cliques
  300. Mon Aug 17 15:51:54 2020 commencing in-memory singleton removal
  301. Mon Aug 17 15:52:03 2020 begin with 138533075 relations and 120057484 unique ideals
  302. Mon Aug 17 15:53:16 2020 reduce to 138282821 relations and 114986227 ideals in 7 passes
  303. Mon Aug 17 15:53:16 2020 max relations containing the same ideal: 147
  304. Mon Aug 17 15:54:09 2020 removing 6789601 relations and 4789601 ideals in 2000000 cliques
  305. Mon Aug 17 15:54:12 2020 commencing in-memory singleton removal
  306. Mon Aug 17 15:54:21 2020 begin with 131493220 relations and 114986227 unique ideals
  307. Mon Aug 17 15:55:20 2020 reduce to 131234845 relations and 109934789 ideals in 6 passes
  308. Mon Aug 17 15:55:20 2020 max relations containing the same ideal: 142
  309. Mon Aug 17 15:56:10 2020 removing 6775684 relations and 4775684 ideals in 2000000 cliques
  310. Mon Aug 17 15:56:13 2020 commencing in-memory singleton removal
  311. Mon Aug 17 15:56:21 2020 begin with 124459161 relations and 109934789 unique ideals
  312. Mon Aug 17 15:57:17 2020 reduce to 124189601 relations and 104885861 ideals in 6 passes
  313. Mon Aug 17 15:57:17 2020 max relations containing the same ideal: 139
  314. Mon Aug 17 15:58:05 2020 removing 6769336 relations and 4769336 ideals in 2000000 cliques
  315. Mon Aug 17 15:58:08 2020 commencing in-memory singleton removal
  316. Mon Aug 17 15:58:16 2020 begin with 117420265 relations and 104885861 unique ideals
  317. Mon Aug 17 15:59:08 2020 reduce to 117140840 relations and 99833059 ideals in 6 passes
  318. Mon Aug 17 15:59:08 2020 max relations containing the same ideal: 133
  319. Mon Aug 17 15:59:54 2020 removing 6771953 relations and 4771953 ideals in 2000000 cliques
  320. Mon Aug 17 15:59:56 2020 commencing in-memory singleton removal
  321. Mon Aug 17 16:00:03 2020 begin with 110368887 relations and 99833059 unique ideals
  322. Mon Aug 17 16:00:59 2020 reduce to 110075352 relations and 94763208 ideals in 7 passes
  323. Mon Aug 17 16:00:59 2020 max relations containing the same ideal: 128
  324. Mon Aug 17 16:01:43 2020 removing 6776903 relations and 4776903 ideals in 2000000 cliques
  325. Mon Aug 17 16:01:46 2020 commencing in-memory singleton removal
  326. Mon Aug 17 16:01:52 2020 begin with 103298449 relations and 94763208 unique ideals
  327. Mon Aug 17 16:02:37 2020 reduce to 102988609 relations and 89671386 ideals in 6 passes
  328. Mon Aug 17 16:02:37 2020 max relations containing the same ideal: 121
  329. Mon Aug 17 16:03:18 2020 removing 6795565 relations and 4795565 ideals in 2000000 cliques
  330. Mon Aug 17 16:03:20 2020 commencing in-memory singleton removal
  331. Mon Aug 17 16:03:26 2020 begin with 96193044 relations and 89671386 unique ideals
  332. Mon Aug 17 16:04:15 2020 reduce to 95862773 relations and 84539828 ideals in 7 passes
  333. Mon Aug 17 16:04:15 2020 max relations containing the same ideal: 114
  334. Mon Aug 17 16:04:53 2020 removing 6820995 relations and 4820995 ideals in 2000000 cliques
  335. Mon Aug 17 16:04:55 2020 commencing in-memory singleton removal
  336. Mon Aug 17 16:05:01 2020 begin with 89041778 relations and 84539828 unique ideals
  337. Mon Aug 17 16:05:46 2020 reduce to 88685849 relations and 79356392 ideals in 7 passes
  338. Mon Aug 17 16:05:46 2020 max relations containing the same ideal: 110
  339. Mon Aug 17 16:06:22 2020 removing 6861851 relations and 4861851 ideals in 2000000 cliques
  340. Mon Aug 17 16:06:24 2020 commencing in-memory singleton removal
  341. Mon Aug 17 16:06:29 2020 begin with 81823998 relations and 79356392 unique ideals
  342. Mon Aug 17 16:07:10 2020 reduce to 81437795 relations and 74100843 ideals in 7 passes
  343. Mon Aug 17 16:07:10 2020 max relations containing the same ideal: 105
  344. Mon Aug 17 16:07:42 2020 removing 6912371 relations and 4912371 ideals in 2000000 cliques
  345. Mon Aug 17 16:07:45 2020 commencing in-memory singleton removal
  346. Mon Aug 17 16:07:49 2020 begin with 74525424 relations and 74100843 unique ideals
  347. Mon Aug 17 16:08:26 2020 reduce to 74097035 relations and 68750932 ideals in 7 passes
  348. Mon Aug 17 16:08:26 2020 max relations containing the same ideal: 97
  349. Mon Aug 17 16:08:56 2020 removing 6978767 relations and 4978767 ideals in 2000000 cliques
  350. Mon Aug 17 16:08:58 2020 commencing in-memory singleton removal
  351. Mon Aug 17 16:09:02 2020 begin with 67118268 relations and 68750932 unique ideals
  352. Mon Aug 17 16:09:35 2020 reduce to 66632637 relations and 63275315 ideals in 7 passes
  353. Mon Aug 17 16:09:35 2020 max relations containing the same ideal: 92
  354. Mon Aug 17 16:10:02 2020 removing 7051481 relations and 5058912 ideals in 1992569 cliques
  355. Mon Aug 17 16:10:04 2020 commencing in-memory singleton removal
  356. Mon Aug 17 16:10:08 2020 begin with 59581156 relations and 63275315 unique ideals
  357. Mon Aug 17 16:10:40 2020 reduce to 59017629 relations and 57638693 ideals in 8 passes
  358. Mon Aug 17 16:10:40 2020 max relations containing the same ideal: 84
  359. Mon Aug 17 16:11:04 2020 removing 110194 relations and 96011 ideals in 14183 cliques
  360. Mon Aug 17 16:11:05 2020 commencing in-memory singleton removal
  361. Mon Aug 17 16:11:09 2020 begin with 58907435 relations and 57638693 unique ideals
  362. Mon Aug 17 16:11:25 2020 reduce to 58907321 relations and 57542568 ideals in 4 passes
  363. Mon Aug 17 16:11:25 2020 max relations containing the same ideal: 83
  364. Mon Aug 17 16:11:33 2020 relations with 0 large ideals: 92243
  365. Mon Aug 17 16:11:33 2020 relations with 1 large ideals: 23096
  366. Mon Aug 17 16:11:33 2020 relations with 2 large ideals: 286338
  367. Mon Aug 17 16:11:33 2020 relations with 3 large ideals: 1786841
  368. Mon Aug 17 16:11:33 2020 relations with 4 large ideals: 6153991
  369. Mon Aug 17 16:11:33 2020 relations with 5 large ideals: 14459253
  370. Mon Aug 17 16:11:33 2020 relations with 6 large ideals: 15559295
  371. Mon Aug 17 16:11:33 2020 relations with 7+ large ideals: 20546264
  372. Mon Aug 17 16:11:33 2020 commencing 2-way merge
  373. Mon Aug 17 16:12:06 2020 reduce to 38900481 relation sets and 37535728 unique ideals
  374. Mon Aug 17 16:12:06 2020 commencing full merge
  375. Mon Aug 17 16:25:32 2020 memory use: 4625.4 MB
  376. Mon Aug 17 16:25:41 2020 found 17493803 cycles, need 17459928
  377. Mon Aug 17 16:25:42 2020 weight of 17459928 cycles is about 1955725239 (112.01/cycle)
  378. Mon Aug 17 16:25:42 2020 distribution of cycle lengths:
  379. Mon Aug 17 16:25:42 2020 1 relations: 825740
  380. Mon Aug 17 16:25:42 2020 2 relations: 1062431
  381. Mon Aug 17 16:25:42 2020 3 relations: 1217555
  382. Mon Aug 17 16:25:42 2020 4 relations: 1258064
  383. Mon Aug 17 16:25:42 2020 5 relations: 1264002
  384. Mon Aug 17 16:25:42 2020 6 relations: 1250190
  385. Mon Aug 17 16:25:42 2020 7 relations: 1216564
  386. Mon Aug 17 16:25:42 2020 8 relations: 1164583
  387. Mon Aug 17 16:25:42 2020 9 relations: 1099182
  388. Mon Aug 17 16:25:42 2020 10+ relations: 7101617
  389. Mon Aug 17 16:25:42 2020 heaviest cycle: 28 relations
  390. Mon Aug 17 16:25:50 2020 commencing cycle optimization
  391. Mon Aug 17 16:26:31 2020 start with 156881049 relations
  392. Mon Aug 17 16:33:37 2020 pruned 7187275 relations
  393. Mon Aug 17 16:33:37 2020 memory use: 4059.1 MB
  394. Mon Aug 17 16:33:37 2020 distribution of cycle lengths:
  395. Mon Aug 17 16:33:37 2020 1 relations: 825740
  396. Mon Aug 17 16:33:37 2020 2 relations: 1085848
  397. Mon Aug 17 16:33:37 2020 3 relations: 1267973
  398. Mon Aug 17 16:33:37 2020 4 relations: 1310276
  399. Mon Aug 17 16:33:37 2020 5 relations: 1327088
  400. Mon Aug 17 16:33:37 2020 6 relations: 1310064
  401. Mon Aug 17 16:33:37 2020 7 relations: 1280052
  402. Mon Aug 17 16:33:37 2020 8 relations: 1219970
  403. Mon Aug 17 16:33:37 2020 9 relations: 1150642
  404. Mon Aug 17 16:33:37 2020 10+ relations: 6682275
  405. Mon Aug 17 16:33:37 2020 heaviest cycle: 28 relations
  406. Mon Aug 17 16:34:32 2020 RelProcTime: 11837
  407. Mon Aug 17 16:34:33 2020
  408. Mon Aug 17 16:34:33 2020 commencing linear algebra
  409. Mon Aug 17 16:34:35 2020 read 17459928 cycles
  410. Mon Aug 17 16:35:17 2020 cycles contain 58137839 unique relations
  411. Mon Aug 17 16:50:48 2020 read 58137839 relations
  412. Mon Aug 17 16:52:55 2020 using 20 quadratic characters above 4294917295
  413. Mon Aug 17 16:56:13 2020 building initial matrix
  414. Mon Aug 17 17:05:32 2020 memory use: 7166.3 MB
  415. Mon Aug 17 17:08:47 2020 read 17459928 cycles
  416. Mon Aug 17 17:08:49 2020 matrix is 17459751 x 17459928 (7753.3 MB) with weight 2219749483 (127.13/col)
  417. Mon Aug 17 17:08:49 2020 sparse part has weight 1840427077 (105.41/col)
  418. Mon Aug 17 17:11:57 2020 filtering completed in 2 passes
  419. Mon Aug 17 17:12:00 2020 matrix is 17459463 x 17459640 (7753.3 MB) with weight 2219739864 (127.14/col)
  420. Mon Aug 17 17:12:00 2020 sparse part has weight 1840423788 (105.41/col)
  421. Mon Aug 17 17:15:46 2020 matrix starts at (0, 0)
  422. Mon Aug 17 17:15:48 2020 matrix is 17459463 x 17459640 (7753.3 MB) with weight 2219739864 (127.14/col)
  423. Mon Aug 17 17:15:48 2020 sparse part has weight 1840423788 (105.41/col)
  424. Mon Aug 17 17:15:48 2020 saving the first 48 matrix rows for later
  425. Mon Aug 17 17:15:50 2020 matrix includes 64 packed rows
  426. Mon Aug 17 17:15:52 2020 matrix is 17459415 x 17459640 (7433.6 MB) with weight 1900408492 (108.85/col)
  427. Mon Aug 17 17:15:52 2020 sparse part has weight 1774074366 (101.61/col)
  428. Mon Aug 17 17:15:52 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  429. Mon Aug 17 17:17:32 2020 commencing Lanczos iteration (16 threads)
  430. Mon Aug 17 17:17:32 2020 memory use: 6381.9 MB
  431. Mon Aug 17 17:17:54 2020 linear algebra at 0.0%, ETA 66h57m
  432. Mon Aug 17 17:18:01 2020 checkpointing every 270000 dimensions
  433. Thu Aug 20 12:28:40 2020 lanczos halted after 276095 iterations (dim = 17459409)
  434. Thu Aug 20 12:28:52 2020 recovered 33 nontrivial dependencies
  435. Thu Aug 20 12:28:59 2020 BLanczosTime: 244466
  436. Thu Aug 20 12:28:59 2020
  437. Thu Aug 20 12:28:59 2020 commencing square root phase
  438. Thu Aug 20 12:28:59 2020 handling dependencies 1 to 64
  439. Thu Aug 20 12:28:59 2020 reading relations for dependency 1
  440. Thu Aug 20 12:29:15 2020 read 8731032 cycles
  441. Thu Aug 20 12:29:33 2020 cycles contain 29067870 unique relations
  442. Thu Aug 20 12:44:55 2020 read 29067870 relations
  443. Thu Aug 20 12:46:50 2020 multiplying 29067870 relations
  444. Thu Aug 20 12:55:30 2020 multiply complete, coefficients have about 756.32 million bits
  445. Thu Aug 20 12:55:32 2020 initial square root is modulo 6100613
  446. Thu Aug 20 13:05:14 2020 GCD is 1, no factor found
  447. Thu Aug 20 13:05:14 2020 reading relations for dependency 2
  448. Thu Aug 20 13:05:32 2020 read 8731348 cycles
  449. Thu Aug 20 13:05:51 2020 cycles contain 29070340 unique relations
  450. Thu Aug 20 13:28:18 2020 read 29070340 relations
  451. Thu Aug 20 13:30:30 2020 multiplying 29070340 relations
  452. Thu Aug 20 13:39:07 2020 multiply complete, coefficients have about 756.39 million bits
  453. Thu Aug 20 13:39:09 2020 initial square root is modulo 6108497
  454. Thu Aug 20 13:48:57 2020 sqrtTime: 4798
  455. Thu Aug 20 13:48:57 2020 p86 factor: 19031680868498272284731172984102702769724256779313011171523839601389687907351464964521
  456. Thu Aug 20 13:48:57 2020 p119 factor: 58023102016683991615568990966765905648579999122238921217021876219672031420133295696899111872386792488450487918902652081
  457. Thu Aug 20 13:48:57 2020 elapsed time 72:31:44
  458.  
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