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  1. Fri May 22 12:02:18 2020
  2. Fri May 22 12:02:18 2020
  3. Fri May 22 12:02:18 2020 Msieve v. 1.53 (SVN 988M)
  4. Fri May 22 12:02:18 2020 random seeds: 27818b3c f9fee380
  5. Fri May 22 12:02:18 2020 factoring 1072609373587905644574781335932462772082149493443403747442823292720265777748699899644232298781682953408790819608613005638150040965914839007413621139040855180730328949874949556882812588197956199020348789166561 (208 digits)
  6. Fri May 22 12:02:19 2020 searching for 15-digit factors
  7. Fri May 22 12:02:20 2020 commencing number field sieve (208-digit input)
  8. Fri May 22 12:02:20 2020 R0: 189346944970101852517263210377265319981640642
  9. Fri May 22 12:02:20 2020 R1: -13760339565944651953121
  10. Fri May 22 12:02:20 2020 A0: 1
  11. Fri May 22 12:02:20 2020 A1: 3
  12. Fri May 22 12:02:20 2020 A2: -3
  13. Fri May 22 12:02:20 2020 A3: -4
  14. Fri May 22 12:02:20 2020 A4: 1
  15. Fri May 22 12:02:20 2020 A5: 1
  16. Fri May 22 12:02:20 2020 skew 1.00, size 4.430e-15, alpha 2.379, combined = 2.491e-12 rroots = 5
  17. Fri May 22 12:02:20 2020
  18. Fri May 22 12:02:20 2020 commencing relation filtering
  19. Fri May 22 12:02:20 2020 setting target matrix density to 130.0
  20. Fri May 22 12:02:20 2020 estimated available RAM is 32768.0 MB
  21. Fri May 22 12:02:20 2020 commencing duplicate removal, pass 1
  22. Fri May 22 12:14:10 2020 error -15 reading relation 118123880
  23. Fri May 22 12:15:15 2020 skipped 55 relations with b > 2^32
  24. Fri May 22 12:15:15 2020 found 7193655 hash collisions in 129294738 relations
  25. Fri May 22 12:15:20 2020 added 2926300 free relations
  26. Fri May 22 12:15:21 2020 commencing duplicate removal, pass 2
  27. Fri May 22 12:15:51 2020 found 0 duplicates and 132221038 unique relations
  28. Fri May 22 12:15:51 2020 memory use: 394.4 MB
  29. Fri May 22 12:15:51 2020 reading ideals above 720000
  30. Fri May 22 12:15:51 2020 commencing singleton removal, initial pass
  31. Fri May 22 12:28:14 2020 memory use: 2756.0 MB
  32. Fri May 22 12:28:14 2020 reading all ideals from disk
  33. Fri May 22 12:30:11 2020 memory use: 4890.3 MB
  34. Fri May 22 12:30:20 2020 keeping 94517106 ideals with weight <= 200, target excess is 679175
  35. Fri May 22 12:30:31 2020 commencing in-memory singleton removal
  36. Fri May 22 12:30:39 2020 begin with 132221038 relations and 94517106 unique ideals
  37. Fri May 22 12:31:49 2020 reduce to 106435426 relations and 67271019 ideals in 9 passes
  38. Fri May 22 12:31:49 2020 max relations containing the same ideal: 181
  39. Fri May 22 12:32:21 2020 removing 6389032 relations and 4389032 ideals in 2000000 cliques
  40. Fri May 22 12:32:24 2020 commencing in-memory singleton removal
  41. Fri May 22 12:32:30 2020 begin with 100046394 relations and 67271019 unique ideals
  42. Fri May 22 12:33:12 2020 reduce to 99711754 relations and 62539135 ideals in 6 passes
  43. Fri May 22 12:33:12 2020 max relations containing the same ideal: 175
  44. Fri May 22 12:33:42 2020 removing 5367489 relations and 3367489 ideals in 2000000 cliques
  45. Fri May 22 12:33:44 2020 commencing in-memory singleton removal
  46. Fri May 22 12:33:49 2020 begin with 94344265 relations and 62539135 unique ideals
  47. Fri May 22 12:34:28 2020 reduce to 94127952 relations and 58950700 ideals in 6 passes
  48. Fri May 22 12:34:28 2020 max relations containing the same ideal: 170
  49. Fri May 22 12:34:57 2020 removing 5086228 relations and 3086228 ideals in 2000000 cliques
  50. Fri May 22 12:34:59 2020 commencing in-memory singleton removal
  51. Fri May 22 12:35:04 2020 begin with 89041724 relations and 58950700 unique ideals
  52. Fri May 22 12:35:35 2020 reduce to 88863057 relations and 55682068 ideals in 5 passes
  53. Fri May 22 12:35:35 2020 max relations containing the same ideal: 163
  54. Fri May 22 12:36:02 2020 removing 4928143 relations and 2928143 ideals in 2000000 cliques
  55. Fri May 22 12:36:04 2020 commencing in-memory singleton removal
  56. Fri May 22 12:36:09 2020 begin with 83934914 relations and 55682068 unique ideals
  57. Fri May 22 12:36:37 2020 reduce to 83775139 relations and 52590759 ideals in 5 passes
  58. Fri May 22 12:36:37 2020 max relations containing the same ideal: 157
  59. Fri May 22 12:37:03 2020 removing 4820506 relations and 2820506 ideals in 2000000 cliques
  60. Fri May 22 12:37:05 2020 commencing in-memory singleton removal
  61. Fri May 22 12:37:10 2020 begin with 78954633 relations and 52590759 unique ideals
  62. Fri May 22 12:37:36 2020 reduce to 78806098 relations and 49618524 ideals in 5 passes
  63. Fri May 22 12:37:36 2020 max relations containing the same ideal: 151
  64. Fri May 22 12:38:00 2020 removing 4740275 relations and 2740275 ideals in 2000000 cliques
  65. Fri May 22 12:38:02 2020 commencing in-memory singleton removal
  66. Fri May 22 12:38:06 2020 begin with 74065823 relations and 49618524 unique ideals
  67. Fri May 22 12:38:31 2020 reduce to 73923614 relations and 46732871 ideals in 5 passes
  68. Fri May 22 12:38:31 2020 max relations containing the same ideal: 145
  69. Fri May 22 12:38:53 2020 removing 4678014 relations and 2678014 ideals in 2000000 cliques
  70. Fri May 22 12:38:55 2020 commencing in-memory singleton removal
  71. Fri May 22 12:38:59 2020 begin with 69245600 relations and 46732871 unique ideals
  72. Fri May 22 12:39:22 2020 reduce to 69106047 relations and 43911992 ideals in 5 passes
  73. Fri May 22 12:39:22 2020 max relations containing the same ideal: 140
  74. Fri May 22 12:39:43 2020 removing 4623837 relations and 2623837 ideals in 2000000 cliques
  75. Fri May 22 12:39:45 2020 commencing in-memory singleton removal
  76. Fri May 22 12:39:48 2020 begin with 64482210 relations and 43911992 unique ideals
  77. Fri May 22 12:40:09 2020 reduce to 64343388 relations and 41146034 ideals in 5 passes
  78. Fri May 22 12:40:09 2020 max relations containing the same ideal: 133
  79. Fri May 22 12:40:29 2020 removing 4579728 relations and 2579728 ideals in 2000000 cliques
  80. Fri May 22 12:40:30 2020 commencing in-memory singleton removal
  81. Fri May 22 12:40:34 2020 begin with 59763660 relations and 41146034 unique ideals
  82. Fri May 22 12:40:57 2020 reduce to 59623941 relations and 38423177 ideals in 6 passes
  83. Fri May 22 12:40:57 2020 max relations containing the same ideal: 129
  84. Fri May 22 12:41:15 2020 removing 4540442 relations and 2540442 ideals in 2000000 cliques
  85. Fri May 22 12:41:17 2020 commencing in-memory singleton removal
  86. Fri May 22 12:41:20 2020 begin with 55083499 relations and 38423177 unique ideals
  87. Fri May 22 12:41:38 2020 reduce to 54940164 relations and 35735591 ideals in 5 passes
  88. Fri May 22 12:41:38 2020 max relations containing the same ideal: 122
  89. Fri May 22 12:41:54 2020 removing 4511840 relations and 2511840 ideals in 2000000 cliques
  90. Fri May 22 12:41:56 2020 commencing in-memory singleton removal
  91. Fri May 22 12:41:58 2020 begin with 50428324 relations and 35735591 unique ideals
  92. Fri May 22 12:42:21 2020 reduce to 50277894 relations and 33069236 ideals in 7 passes
  93. Fri May 22 12:42:21 2020 max relations containing the same ideal: 113
  94. Fri May 22 12:42:36 2020 removing 4484341 relations and 2484341 ideals in 2000000 cliques
  95. Fri May 22 12:42:37 2020 commencing in-memory singleton removal
  96. Fri May 22 12:42:40 2020 begin with 45793553 relations and 33069236 unique ideals
  97. Fri May 22 12:42:55 2020 reduce to 45635925 relations and 30422890 ideals in 5 passes
  98. Fri May 22 12:42:55 2020 max relations containing the same ideal: 107
  99. Fri May 22 12:43:08 2020 removing 4460622 relations and 2460622 ideals in 2000000 cliques
  100. Fri May 22 12:43:09 2020 commencing in-memory singleton removal
  101. Fri May 22 12:43:11 2020 begin with 41175303 relations and 30422890 unique ideals
  102. Fri May 22 12:43:27 2020 reduce to 41005327 relations and 27787112 ideals in 6 passes
  103. Fri May 22 12:43:27 2020 max relations containing the same ideal: 97
  104. Fri May 22 12:43:39 2020 removing 4442704 relations and 2442704 ideals in 2000000 cliques
  105. Fri May 22 12:43:41 2020 commencing in-memory singleton removal
  106. Fri May 22 12:43:42 2020 begin with 36562623 relations and 27787112 unique ideals
  107. Fri May 22 12:43:56 2020 reduce to 36375732 relations and 25151214 ideals in 6 passes
  108. Fri May 22 12:43:56 2020 max relations containing the same ideal: 91
  109. Fri May 22 12:44:07 2020 removing 4430135 relations and 2430135 ideals in 2000000 cliques
  110. Fri May 22 12:44:08 2020 commencing in-memory singleton removal
  111. Fri May 22 12:44:10 2020 begin with 31945597 relations and 25151214 unique ideals
  112. Fri May 22 12:44:19 2020 reduce to 31735923 relations and 22503769 ideals in 5 passes
  113. Fri May 22 12:44:19 2020 max relations containing the same ideal: 87
  114. Fri May 22 12:44:28 2020 removing 4422179 relations and 2422179 ideals in 2000000 cliques
  115. Fri May 22 12:44:30 2020 commencing in-memory singleton removal
  116. Fri May 22 12:44:31 2020 begin with 27313744 relations and 22503769 unique ideals
  117. Fri May 22 12:44:41 2020 reduce to 27074069 relations and 19832043 ideals in 6 passes
  118. Fri May 22 12:44:41 2020 max relations containing the same ideal: 73
  119. Fri May 22 12:44:48 2020 removing 4420723 relations and 2420723 ideals in 2000000 cliques
  120. Fri May 22 12:44:50 2020 commencing in-memory singleton removal
  121. Fri May 22 12:44:51 2020 begin with 22653346 relations and 19832043 unique ideals
  122. Fri May 22 12:44:59 2020 reduce to 22370372 relations and 17114750 ideals in 6 passes
  123. Fri May 22 12:44:59 2020 max relations containing the same ideal: 64
  124. Fri May 22 12:45:05 2020 removing 4422460 relations and 2422460 ideals in 2000000 cliques
  125. Fri May 22 12:45:06 2020 commencing in-memory singleton removal
  126. Fri May 22 12:45:07 2020 begin with 17947912 relations and 17114750 unique ideals
  127. Fri May 22 12:45:13 2020 reduce to 17604401 relations and 14329136 ideals in 6 passes
  128. Fri May 22 12:45:13 2020 max relations containing the same ideal: 57
  129. Fri May 22 12:45:18 2020 removing 4432005 relations and 2432005 ideals in 2000000 cliques
  130. Fri May 22 12:45:19 2020 commencing in-memory singleton removal
  131. Fri May 22 12:45:19 2020 begin with 13172396 relations and 14329136 unique ideals
  132. Fri May 22 12:45:25 2020 reduce to 12729910 relations and 11423115 ideals in 8 passes
  133. Fri May 22 12:45:25 2020 max relations containing the same ideal: 44
  134. Fri May 22 12:45:28 2020 removing 1392965 relations and 874014 ideals in 518951 cliques
  135. Fri May 22 12:45:29 2020 commencing in-memory singleton removal
  136. Fri May 22 12:45:30 2020 begin with 11336945 relations and 11423115 unique ideals
  137. Fri May 22 12:45:33 2020 reduce to 11137962 relations and 10341023 ideals in 6 passes
  138. Fri May 22 12:45:33 2020 max relations containing the same ideal: 41
  139. Fri May 22 12:45:36 2020 removing 48683 relations and 39588 ideals in 9095 cliques
  140. Fri May 22 12:45:37 2020 commencing in-memory singleton removal
  141. Fri May 22 12:45:37 2020 begin with 11089279 relations and 10341023 unique ideals
  142. Fri May 22 12:45:39 2020 reduce to 11089063 relations and 10301219 ideals in 4 passes
  143. Fri May 22 12:45:39 2020 max relations containing the same ideal: 41
  144. Fri May 22 12:45:41 2020 relations with 0 large ideals: 53988
  145. Fri May 22 12:45:41 2020 relations with 1 large ideals: 28288
  146. Fri May 22 12:45:41 2020 relations with 2 large ideals: 274158
  147. Fri May 22 12:45:41 2020 relations with 3 large ideals: 1099392
  148. Fri May 22 12:45:41 2020 relations with 4 large ideals: 2314125
  149. Fri May 22 12:45:41 2020 relations with 5 large ideals: 2922202
  150. Fri May 22 12:45:41 2020 relations with 6 large ideals: 2719414
  151. Fri May 22 12:45:41 2020 relations with 7+ large ideals: 1677496
  152. Fri May 22 12:45:41 2020 commencing 2-way merge
  153. Fri May 22 12:45:45 2020 reduce to 8728928 relation sets and 7941084 unique ideals
  154. Fri May 22 12:45:45 2020 commencing full merge
  155. Fri May 22 12:49:46 2020 memory use: 378.0 MB
  156. Fri May 22 12:49:46 2020 found 99612 cycles, need 2131875
  157. Fri May 22 12:49:46 2020 too few cycles, matrix probably cannot build
  158. Fri May 22 13:05:01 2020
  159. Fri May 22 13:05:01 2020
  160. Fri May 22 13:05:01 2020 Msieve v. 1.53 (SVN 988M)
  161. Fri May 22 13:05:01 2020 random seeds: 40e541d5 707acf54
  162. Fri May 22 13:05:01 2020 factoring 1072609373587905644574781335932462772082149493443403747442823292720265777748699899644232298781682953408790819608613005638150040965914839007413621139040855180730328949874949556882812588197956199020348789166561 (208 digits)
  163. Fri May 22 13:05:02 2020 searching for 15-digit factors
  164. Fri May 22 13:05:03 2020 commencing number field sieve (208-digit input)
  165. Fri May 22 13:05:03 2020 R0: 189346944970101852517263210377265319981640642
  166. Fri May 22 13:05:03 2020 R1: -13760339565944651953121
  167. Fri May 22 13:05:03 2020 A0: 1
  168. Fri May 22 13:05:03 2020 A1: 3
  169. Fri May 22 13:05:03 2020 A2: -3
  170. Fri May 22 13:05:03 2020 A3: -4
  171. Fri May 22 13:05:03 2020 A4: 1
  172. Fri May 22 13:05:03 2020 A5: 1
  173. Fri May 22 13:05:03 2020 skew 1.00, size 4.430e-15, alpha 2.379, combined = 2.491e-12 rroots = 5
  174. Fri May 22 13:05:03 2020
  175. Fri May 22 13:05:03 2020 commencing relation filtering
  176. Fri May 22 13:05:03 2020 setting target matrix density to 124.0
  177. Fri May 22 13:05:03 2020 estimated available RAM is 32768.0 MB
  178. Fri May 22 13:05:03 2020 commencing duplicate removal, pass 1
  179. Fri May 22 13:16:32 2020 error -15 reading relation 118123880
  180. Fri May 22 13:18:01 2020 skipped 55 relations with b > 2^32
  181. Fri May 22 13:18:01 2020 found 7506995 hash collisions in 132221038 relations
  182. Fri May 22 13:18:01 2020 commencing duplicate removal, pass 2
  183. Fri May 22 13:18:32 2020 found 0 duplicates and 132221038 unique relations
  184. Fri May 22 13:18:32 2020 memory use: 394.4 MB
  185. Fri May 22 13:18:32 2020 reading ideals above 720000
  186. Fri May 22 13:18:32 2020 commencing singleton removal, initial pass
  187. Fri May 22 13:30:57 2020 memory use: 2756.0 MB
  188. Fri May 22 13:30:57 2020 reading all ideals from disk
  189. Fri May 22 13:32:52 2020 memory use: 4890.3 MB
  190. Fri May 22 13:33:02 2020 keeping 94517106 ideals with weight <= 200, target excess is 679175
  191. Fri May 22 13:33:12 2020 commencing in-memory singleton removal
  192. Fri May 22 13:33:20 2020 begin with 132221038 relations and 94517106 unique ideals
  193. Fri May 22 13:34:26 2020 reduce to 106435426 relations and 67271019 ideals in 9 passes
  194. Fri May 22 13:34:26 2020 max relations containing the same ideal: 181
  195. Fri May 22 13:34:57 2020 removing 6389032 relations and 4389032 ideals in 2000000 cliques
  196. Fri May 22 13:35:00 2020 commencing in-memory singleton removal
  197. Fri May 22 13:35:05 2020 begin with 100046394 relations and 67271019 unique ideals
  198. Fri May 22 13:35:45 2020 reduce to 99711754 relations and 62539135 ideals in 6 passes
  199. Fri May 22 13:35:45 2020 max relations containing the same ideal: 175
  200. Fri May 22 13:36:14 2020 removing 5367489 relations and 3367489 ideals in 2000000 cliques
  201. Fri May 22 13:36:17 2020 commencing in-memory singleton removal
  202. Fri May 22 13:36:22 2020 begin with 94344265 relations and 62539135 unique ideals
  203. Fri May 22 13:36:59 2020 reduce to 94127952 relations and 58950700 ideals in 6 passes
  204. Fri May 22 13:36:59 2020 max relations containing the same ideal: 170
  205. Fri May 22 13:37:26 2020 removing 5086228 relations and 3086228 ideals in 2000000 cliques
  206. Fri May 22 13:37:29 2020 commencing in-memory singleton removal
  207. Fri May 22 13:37:33 2020 begin with 89041724 relations and 58950700 unique ideals
  208. Fri May 22 13:38:02 2020 reduce to 88863057 relations and 55682068 ideals in 5 passes
  209. Fri May 22 13:38:02 2020 max relations containing the same ideal: 163
  210. Fri May 22 13:38:28 2020 removing 4928143 relations and 2928143 ideals in 2000000 cliques
  211. Fri May 22 13:38:30 2020 commencing in-memory singleton removal
  212. Fri May 22 13:38:35 2020 begin with 83934914 relations and 55682068 unique ideals
  213. Fri May 22 13:39:02 2020 reduce to 83775139 relations and 52590759 ideals in 5 passes
  214. Fri May 22 13:39:02 2020 max relations containing the same ideal: 157
  215. Fri May 22 13:39:26 2020 removing 4820506 relations and 2820506 ideals in 2000000 cliques
  216. Fri May 22 13:39:29 2020 commencing in-memory singleton removal
  217. Fri May 22 13:39:33 2020 begin with 78954633 relations and 52590759 unique ideals
  218. Fri May 22 13:39:58 2020 reduce to 78806098 relations and 49618524 ideals in 5 passes
  219. Fri May 22 13:39:58 2020 max relations containing the same ideal: 151
  220. Fri May 22 13:40:21 2020 removing 4740275 relations and 2740275 ideals in 2000000 cliques
  221. Fri May 22 13:40:23 2020 commencing in-memory singleton removal
  222. Fri May 22 13:40:27 2020 begin with 74065823 relations and 49618524 unique ideals
  223. Fri May 22 13:40:51 2020 reduce to 73923614 relations and 46732871 ideals in 5 passes
  224. Fri May 22 13:40:51 2020 max relations containing the same ideal: 145
  225. Fri May 22 13:41:12 2020 removing 4678014 relations and 2678014 ideals in 2000000 cliques
  226. Fri May 22 13:41:14 2020 commencing in-memory singleton removal
  227. Fri May 22 13:41:18 2020 begin with 69245600 relations and 46732871 unique ideals
  228. Fri May 22 13:41:40 2020 reduce to 69106047 relations and 43911992 ideals in 5 passes
  229. Fri May 22 13:41:40 2020 max relations containing the same ideal: 140
  230. Fri May 22 13:42:00 2020 removing 4623837 relations and 2623837 ideals in 2000000 cliques
  231. Fri May 22 13:42:01 2020 commencing in-memory singleton removal
  232. Fri May 22 13:42:05 2020 begin with 64482210 relations and 43911992 unique ideals
  233. Fri May 22 13:42:25 2020 reduce to 64343388 relations and 41146034 ideals in 5 passes
  234. Fri May 22 13:42:25 2020 max relations containing the same ideal: 133
  235. Fri May 22 13:42:43 2020 removing 4579728 relations and 2579728 ideals in 2000000 cliques
  236. Fri May 22 13:42:45 2020 commencing in-memory singleton removal
  237. Fri May 22 13:42:48 2020 begin with 59763660 relations and 41146034 unique ideals
  238. Fri May 22 13:43:11 2020 reduce to 59623941 relations and 38423177 ideals in 6 passes
  239. Fri May 22 13:43:11 2020 max relations containing the same ideal: 129
  240. Fri May 22 13:43:28 2020 removing 4540442 relations and 2540442 ideals in 2000000 cliques
  241. Fri May 22 13:43:30 2020 commencing in-memory singleton removal
  242. Fri May 22 13:43:32 2020 begin with 55083499 relations and 38423177 unique ideals
  243. Fri May 22 13:43:49 2020 reduce to 54940164 relations and 35735591 ideals in 5 passes
  244. Fri May 22 13:43:49 2020 max relations containing the same ideal: 122
  245. Fri May 22 13:44:05 2020 removing 4511840 relations and 2511840 ideals in 2000000 cliques
  246. Fri May 22 13:44:07 2020 commencing in-memory singleton removal
  247. Fri May 22 13:44:09 2020 begin with 50428324 relations and 35735591 unique ideals
  248. Fri May 22 13:44:31 2020 reduce to 50277894 relations and 33069236 ideals in 7 passes
  249. Fri May 22 13:44:31 2020 max relations containing the same ideal: 113
  250. Fri May 22 13:44:45 2020 removing 4484341 relations and 2484341 ideals in 2000000 cliques
  251. Fri May 22 13:44:46 2020 commencing in-memory singleton removal
  252. Fri May 22 13:44:49 2020 begin with 45793553 relations and 33069236 unique ideals
  253. Fri May 22 13:45:02 2020 reduce to 45635925 relations and 30422890 ideals in 5 passes
  254. Fri May 22 13:45:02 2020 max relations containing the same ideal: 107
  255. Fri May 22 13:45:15 2020 removing 4460622 relations and 2460622 ideals in 2000000 cliques
  256. Fri May 22 13:45:17 2020 commencing in-memory singleton removal
  257. Fri May 22 13:45:19 2020 begin with 41175303 relations and 30422890 unique ideals
  258. Fri May 22 13:45:33 2020 reduce to 41005327 relations and 27787112 ideals in 6 passes
  259. Fri May 22 13:45:33 2020 max relations containing the same ideal: 97
  260. Fri May 22 13:45:45 2020 removing 4442704 relations and 2442704 ideals in 2000000 cliques
  261. Fri May 22 13:45:46 2020 commencing in-memory singleton removal
  262. Fri May 22 13:45:48 2020 begin with 36562623 relations and 27787112 unique ideals
  263. Fri May 22 13:46:01 2020 reduce to 36375732 relations and 25151214 ideals in 6 passes
  264. Fri May 22 13:46:01 2020 max relations containing the same ideal: 91
  265. Fri May 22 13:46:11 2020 removing 4430135 relations and 2430135 ideals in 2000000 cliques
  266. Fri May 22 13:46:12 2020 commencing in-memory singleton removal
  267. Fri May 22 13:46:14 2020 begin with 31945597 relations and 25151214 unique ideals
  268. Fri May 22 13:46:23 2020 reduce to 31735923 relations and 22503769 ideals in 5 passes
  269. Fri May 22 13:46:23 2020 max relations containing the same ideal: 87
  270. Fri May 22 13:46:31 2020 removing 4422179 relations and 2422179 ideals in 2000000 cliques
  271. Fri May 22 13:46:33 2020 commencing in-memory singleton removal
  272. Fri May 22 13:46:34 2020 begin with 27313744 relations and 22503769 unique ideals
  273. Fri May 22 13:46:43 2020 reduce to 27074069 relations and 19832043 ideals in 6 passes
  274. Fri May 22 13:46:43 2020 max relations containing the same ideal: 73
  275. Fri May 22 13:46:51 2020 removing 4420723 relations and 2420723 ideals in 2000000 cliques
  276. Fri May 22 13:46:52 2020 commencing in-memory singleton removal
  277. Fri May 22 13:46:53 2020 begin with 22653346 relations and 19832043 unique ideals
  278. Fri May 22 13:47:00 2020 reduce to 22370372 relations and 17114750 ideals in 6 passes
  279. Fri May 22 13:47:00 2020 max relations containing the same ideal: 64
  280. Fri May 22 13:47:06 2020 removing 4422460 relations and 2422460 ideals in 2000000 cliques
  281. Fri May 22 13:47:08 2020 commencing in-memory singleton removal
  282. Fri May 22 13:47:08 2020 begin with 17947912 relations and 17114750 unique ideals
  283. Fri May 22 13:47:14 2020 reduce to 17604401 relations and 14329136 ideals in 6 passes
  284. Fri May 22 13:47:14 2020 max relations containing the same ideal: 57
  285. Fri May 22 13:47:19 2020 removing 4432005 relations and 2432005 ideals in 2000000 cliques
  286. Fri May 22 13:47:20 2020 commencing in-memory singleton removal
  287. Fri May 22 13:47:20 2020 begin with 13172396 relations and 14329136 unique ideals
  288. Fri May 22 13:47:26 2020 reduce to 12729910 relations and 11423115 ideals in 8 passes
  289. Fri May 22 13:47:26 2020 max relations containing the same ideal: 44
  290. Fri May 22 13:47:29 2020 removing 1392965 relations and 874014 ideals in 518951 cliques
  291. Fri May 22 13:47:30 2020 commencing in-memory singleton removal
  292. Fri May 22 13:47:30 2020 begin with 11336945 relations and 11423115 unique ideals
  293. Fri May 22 13:47:34 2020 reduce to 11137962 relations and 10341023 ideals in 6 passes
  294. Fri May 22 13:47:34 2020 max relations containing the same ideal: 41
  295. Fri May 22 13:47:36 2020 removing 48683 relations and 39588 ideals in 9095 cliques
  296. Fri May 22 13:47:37 2020 commencing in-memory singleton removal
  297. Fri May 22 13:47:37 2020 begin with 11089279 relations and 10341023 unique ideals
  298. Fri May 22 13:47:40 2020 reduce to 11089063 relations and 10301219 ideals in 4 passes
  299. Fri May 22 13:47:40 2020 max relations containing the same ideal: 41
  300. Fri May 22 13:47:41 2020 relations with 0 large ideals: 53988
  301. Fri May 22 13:47:41 2020 relations with 1 large ideals: 28288
  302. Fri May 22 13:47:41 2020 relations with 2 large ideals: 274158
  303. Fri May 22 13:47:41 2020 relations with 3 large ideals: 1099392
  304. Fri May 22 13:47:41 2020 relations with 4 large ideals: 2314125
  305. Fri May 22 13:47:41 2020 relations with 5 large ideals: 2922202
  306. Fri May 22 13:47:41 2020 relations with 6 large ideals: 2719414
  307. Fri May 22 13:47:41 2020 relations with 7+ large ideals: 1677496
  308. Fri May 22 13:47:41 2020 commencing 2-way merge
  309. Fri May 22 13:47:45 2020 reduce to 8728928 relation sets and 7941084 unique ideals
  310. Fri May 22 13:47:45 2020 commencing full merge
  311. Fri May 22 13:50:22 2020 memory use: 921.8 MB
  312. Fri May 22 13:50:23 2020 found 3635176 cycles, need 3625284
  313. Fri May 22 13:50:23 2020 weight of 3625284 cycles is about 449647387 (124.03/cycle)
  314. Fri May 22 13:50:23 2020 distribution of cycle lengths:
  315. Fri May 22 13:50:23 2020 1 relations: 109765
  316. Fri May 22 13:50:23 2020 2 relations: 167087
  317. Fri May 22 13:50:23 2020 3 relations: 233772
  318. Fri May 22 13:50:23 2020 4 relations: 263483
  319. Fri May 22 13:50:23 2020 5 relations: 276342
  320. Fri May 22 13:50:23 2020 6 relations: 272202
  321. Fri May 22 13:50:23 2020 7 relations: 260681
  322. Fri May 22 13:50:23 2020 8 relations: 243666
  323. Fri May 22 13:50:23 2020 9 relations: 223541
  324. Fri May 22 13:50:23 2020 10+ relations: 1574745
  325. Fri May 22 13:50:23 2020 heaviest cycle: 28 relations
  326. Fri May 22 13:50:25 2020 commencing cycle optimization
  327. Fri May 22 13:50:32 2020 start with 35094351 relations
  328. Fri May 22 13:52:12 2020 pruned 2538730 relations
  329. Fri May 22 13:52:12 2020 memory use: 812.5 MB
  330. Fri May 22 13:52:12 2020 distribution of cycle lengths:
  331. Fri May 22 13:52:12 2020 1 relations: 109765
  332. Fri May 22 13:52:12 2020 2 relations: 172675
  333. Fri May 22 13:52:12 2020 3 relations: 247290
  334. Fri May 22 13:52:12 2020 4 relations: 280548
  335. Fri May 22 13:52:12 2020 5 relations: 299242
  336. Fri May 22 13:52:12 2020 6 relations: 294556
  337. Fri May 22 13:52:12 2020 7 relations: 283600
  338. Fri May 22 13:52:12 2020 8 relations: 262694
  339. Fri May 22 13:52:12 2020 9 relations: 239961
  340. Fri May 22 13:52:12 2020 10+ relations: 1434953
  341. Fri May 22 13:52:12 2020 heaviest cycle: 28 relations
  342. Fri May 22 13:52:22 2020 RelProcTime: 2839
  343. Fri May 22 13:52:22 2020
  344. Fri May 22 13:52:22 2020 commencing linear algebra
  345. Fri May 22 13:52:23 2020 read 3625284 cycles
  346. Fri May 22 13:52:30 2020 cycles contain 10763442 unique relations
  347. Fri May 22 13:55:15 2020 read 10763442 relations
  348. Fri May 22 13:55:35 2020 using 20 quadratic characters above 4294917295
  349. Fri May 22 13:56:13 2020 building initial matrix
  350. Fri May 22 13:58:05 2020 memory use: 1366.5 MB
  351. Fri May 22 13:58:17 2020 read 3625284 cycles
  352. Fri May 22 13:58:18 2020 matrix is 3625107 x 3625284 (1699.2 MB) with weight 485140833 (133.82/col)
  353. Fri May 22 13:58:18 2020 sparse part has weight 405558079 (111.87/col)
  354. Fri May 22 13:58:51 2020 filtering completed in 2 passes
  355. Fri May 22 13:58:51 2020 matrix is 3625003 x 3625180 (1699.2 MB) with weight 485136711 (133.82/col)
  356. Fri May 22 13:58:51 2020 sparse part has weight 405556324 (111.87/col)
  357. Fri May 22 13:59:54 2020 matrix starts at (0, 0)
  358. Fri May 22 13:59:55 2020 matrix is 3625003 x 3625180 (1699.2 MB) with weight 485136711 (133.82/col)
  359. Fri May 22 13:59:55 2020 sparse part has weight 405556324 (111.87/col)
  360. Fri May 22 13:59:55 2020 saving the first 48 matrix rows for later
  361. Fri May 22 13:59:55 2020 matrix includes 64 packed rows
  362. Fri May 22 13:59:55 2020 matrix is 3624955 x 3625180 (1626.4 MB) with weight 418185487 (115.36/col)
  363. Fri May 22 13:59:55 2020 sparse part has weight 390086496 (107.60/col)
  364. Fri May 22 13:59:55 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  365. Fri May 22 14:00:13 2020 commencing Lanczos iteration (16 threads)
  366. Fri May 22 14:00:13 2020 memory use: 1366.1 MB
  367. Fri May 22 14:00:16 2020 linear algebra at 0.0%, ETA 1h59m
  368. Fri May 22 14:00:17 2020 checkpointing every 1820000 dimensions
  369. Fri May 22 16:08:01 2020 lanczos halted after 57324 iterations (dim = 3624954)
  370. Fri May 22 16:08:06 2020 recovered 35 nontrivial dependencies
  371. Fri May 22 16:08:07 2020 BLanczosTime: 8145
  372. Fri May 22 16:08:07 2020
  373. Fri May 22 16:08:07 2020 commencing square root phase
  374. Fri May 22 16:08:07 2020 handling dependencies 1 to 64
  375. Fri May 22 16:08:07 2020 reading relations for dependency 1
  376. Fri May 22 16:08:11 2020 read 1812986 cycles
  377. Fri May 22 16:08:14 2020 cycles contain 5381778 unique relations
  378. Fri May 22 16:09:16 2020 read 5381778 relations
  379. Fri May 22 16:09:35 2020 multiplying 5381778 relations
  380. Fri May 22 16:11:20 2020 multiply complete, coefficients have about 132.27 million bits
  381. Fri May 22 16:11:21 2020 initial square root is modulo 55849
  382. Fri May 22 16:13:12 2020 GCD is 1, no factor found
  383. Fri May 22 16:13:12 2020 reading relations for dependency 2
  384. Fri May 22 16:13:13 2020 read 1811823 cycles
  385. Fri May 22 16:13:16 2020 cycles contain 5380346 unique relations
  386. Fri May 22 16:13:41 2020 read 5380346 relations
  387. Fri May 22 16:14:00 2020 multiplying 5380346 relations
  388. Fri May 22 16:15:49 2020 multiply complete, coefficients have about 132.24 million bits
  389. Fri May 22 16:15:49 2020 initial square root is modulo 55691
  390. Fri May 22 16:17:41 2020 GCD is N, no factor found
  391. Fri May 22 16:17:41 2020 reading relations for dependency 3
  392. Fri May 22 16:17:42 2020 read 1813898 cycles
  393. Fri May 22 16:17:45 2020 cycles contain 5384806 unique relations
  394. Fri May 22 16:18:10 2020 read 5384806 relations
  395. Fri May 22 16:18:29 2020 multiplying 5384806 relations
  396. Fri May 22 16:20:17 2020 multiply complete, coefficients have about 132.34 million bits
  397. Fri May 22 16:20:17 2020 initial square root is modulo 56171
  398. Fri May 22 16:22:12 2020 sqrtTime: 845
  399. Fri May 22 16:22:12 2020 p93 factor: 572953373044495283057250917562066047361835662938762101930382324005700595686660803497762375181
  400. Fri May 22 16:22:12 2020 p115 factor: 1872070964323666381686418863674108844166886306317659807756326549077681341361501172852075481954579712271118194194981
  401. Fri May 22 16:22:12 2020 elapsed time 03:17:11
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