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9p2_305

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Jan 28th, 2021
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  1. Tue Jan 26 16:42:19 2021
  2. Tue Jan 26 16:42:19 2021
  3. Tue Jan 26 16:42:19 2021 Msieve v. 1.53 (SVN 988M)
  4. Tue Jan 26 16:42:19 2021 random seeds: c0a3e798 4a1d8a3d
  5. Tue Jan 26 16:42:19 2021 factoring 3998420810613790680189683942094769582386693898466037730713972378590172672863889187795369574170340157475974430752825666187484315151760278646910335700964732050527712495849869147337510214329921493618786220969053491 (211 digits)
  6. Tue Jan 26 16:42:19 2021 searching for 15-digit factors
  7. Tue Jan 26 16:42:21 2021 commencing number field sieve (211-digit input)
  8. Tue Jan 26 16:42:21 2021 R0: 16173092699229880893718618465586445357583280647840659957609
  9. Tue Jan 26 16:42:21 2021 R1: -2305843009213693952
  10. Tue Jan 26 16:42:21 2021 A0: 1
  11. Tue Jan 26 16:42:21 2021 A1: -1
  12. Tue Jan 26 16:42:21 2021 A2: 1
  13. Tue Jan 26 16:42:21 2021 A3: -1
  14. Tue Jan 26 16:42:21 2021 A4: 1
  15. Tue Jan 26 16:42:21 2021 skew 1.00, size 1.065e-23, alpha 1.694, combined = 4.017e-14 rroots = 0
  16. Tue Jan 26 16:42:21 2021
  17. Tue Jan 26 16:42:21 2021 commencing relation filtering
  18. Tue Jan 26 16:42:21 2021 setting target matrix density to 124.0
  19. Tue Jan 26 16:42:21 2021 estimated available RAM is 32768.0 MB
  20. Tue Jan 26 16:42:21 2021 commencing duplicate removal, pass 1
  21. Tue Jan 26 16:52:07 2021 error -15 reading relation 94239699
  22. Tue Jan 26 16:52:07 2021 error -15 reading relation 94245695
  23. Tue Jan 26 16:52:08 2021 error -15 reading relation 94426010
  24. Tue Jan 26 16:57:10 2021 error -11 reading relation 144494428
  25. Tue Jan 26 17:02:35 2021 error -5 reading relation 198432724
  26. Tue Jan 26 17:03:20 2021 error -15 reading relation 205939424
  27. Tue Jan 26 17:03:30 2021 error -11 reading relation 207546718
  28. Tue Jan 26 17:03:39 2021 skipped 5569 relations with b > 2^32
  29. Tue Jan 26 17:03:39 2021 skipped 4 relations with composite factors
  30. Tue Jan 26 17:03:39 2021 found 9547714 hash collisions in 209065368 relations
  31. Tue Jan 26 17:03:44 2021 added 3657741 free relations
  32. Tue Jan 26 17:03:45 2021 commencing duplicate removal, pass 2
  33. Tue Jan 26 17:12:40 2021 found 0 duplicates and 212723109 unique relations
  34. Tue Jan 26 17:12:40 2021 memory use: 522.4 MB
  35. Tue Jan 26 17:12:40 2021 reading ideals above 209649664
  36. Tue Jan 26 17:12:40 2021 commencing singleton removal, initial pass
  37. Tue Jan 26 17:27:57 2021 memory use: 3012.0 MB
  38. Tue Jan 26 17:27:58 2021 reading all ideals from disk
  39. Tue Jan 26 17:29:24 2021 memory use: 3657.4 MB
  40. Tue Jan 26 17:29:32 2021 commencing in-memory singleton removal
  41. Tue Jan 26 17:29:39 2021 begin with 212723109 relations and 157544959 unique ideals
  42. Tue Jan 26 17:30:58 2021 reduce to 158378350 relations and 98995171 ideals in 11 passes
  43. Tue Jan 26 17:30:58 2021 max relations containing the same ideal: 46
  44. Tue Jan 26 17:31:17 2021 reading ideals above 720000
  45. Tue Jan 26 17:31:17 2021 commencing singleton removal, initial pass
  46. Tue Jan 26 17:46:52 2021 memory use: 3012.0 MB
  47. Tue Jan 26 17:46:53 2021 reading all ideals from disk
  48. Tue Jan 26 17:49:27 2021 memory use: 6492.0 MB
  49. Tue Jan 26 17:49:40 2021 keeping 121342254 ideals with weight <= 200, target excess is 819431
  50. Tue Jan 26 17:49:56 2021 commencing in-memory singleton removal
  51. Tue Jan 26 17:50:08 2021 begin with 158378350 relations and 121342254 unique ideals
  52. Tue Jan 26 17:51:24 2021 reduce to 158366022 relations and 121329857 ideals in 6 passes
  53. Tue Jan 26 17:51:24 2021 max relations containing the same ideal: 200
  54. Tue Jan 26 17:52:21 2021 removing 9360892 relations and 7360892 ideals in 2000000 cliques
  55. Tue Jan 26 17:52:25 2021 commencing in-memory singleton removal
  56. Tue Jan 26 17:52:35 2021 begin with 149005130 relations and 121329857 unique ideals
  57. Tue Jan 26 17:54:00 2021 reduce to 148560227 relations and 113516651 ideals in 7 passes
  58. Tue Jan 26 17:54:00 2021 max relations containing the same ideal: 198
  59. Tue Jan 26 17:54:54 2021 removing 7252413 relations and 5252413 ideals in 2000000 cliques
  60. Tue Jan 26 17:54:57 2021 commencing in-memory singleton removal
  61. Tue Jan 26 17:55:07 2021 begin with 141307814 relations and 113516651 unique ideals
  62. Tue Jan 26 17:56:26 2021 reduce to 141009190 relations and 107961220 ideals in 7 passes
  63. Tue Jan 26 17:56:26 2021 max relations containing the same ideal: 195
  64. Tue Jan 26 17:57:18 2021 removing 6642067 relations and 4642067 ideals in 2000000 cliques
  65. Tue Jan 26 17:57:20 2021 commencing in-memory singleton removal
  66. Tue Jan 26 17:57:30 2021 begin with 134367123 relations and 107961220 unique ideals
  67. Tue Jan 26 17:58:34 2021 reduce to 134106722 relations and 103054939 ideals in 6 passes
  68. Tue Jan 26 17:58:34 2021 max relations containing the same ideal: 189
  69. Tue Jan 26 17:59:23 2021 removing 6329612 relations and 4329612 ideals in 2000000 cliques
  70. Tue Jan 26 17:59:26 2021 commencing in-memory singleton removal
  71. Tue Jan 26 17:59:35 2021 begin with 127777110 relations and 103054939 unique ideals
  72. Tue Jan 26 18:00:36 2021 reduce to 127535197 relations and 98479968 ideals in 6 passes
  73. Tue Jan 26 18:00:36 2021 max relations containing the same ideal: 185
  74. Tue Jan 26 18:01:23 2021 removing 6132516 relations and 4132516 ideals in 2000000 cliques
  75. Tue Jan 26 18:01:26 2021 commencing in-memory singleton removal
  76. Tue Jan 26 18:01:34 2021 begin with 121402681 relations and 98479968 unique ideals
  77. Tue Jan 26 18:02:32 2021 reduce to 121168387 relations and 94109664 ideals in 6 passes
  78. Tue Jan 26 18:02:32 2021 max relations containing the same ideal: 182
  79. Tue Jan 26 18:03:17 2021 removing 6005110 relations and 4005110 ideals in 2000000 cliques
  80. Tue Jan 26 18:03:19 2021 commencing in-memory singleton removal
  81. Tue Jan 26 18:03:27 2021 begin with 115163277 relations and 94109664 unique ideals
  82. Tue Jan 26 18:04:13 2021 reduce to 114934038 relations and 89871743 ideals in 5 passes
  83. Tue Jan 26 18:04:13 2021 max relations containing the same ideal: 175
  84. Tue Jan 26 18:04:57 2021 removing 5912891 relations and 3912891 ideals in 2000000 cliques
  85. Tue Jan 26 18:04:59 2021 commencing in-memory singleton removal
  86. Tue Jan 26 18:05:07 2021 begin with 109021147 relations and 89871743 unique ideals
  87. Tue Jan 26 18:05:58 2021 reduce to 108789914 relations and 85723890 ideals in 6 passes
  88. Tue Jan 26 18:05:58 2021 max relations containing the same ideal: 169
  89. Tue Jan 26 18:06:39 2021 removing 5846182 relations and 3846182 ideals in 2000000 cliques
  90. Tue Jan 26 18:06:41 2021 commencing in-memory singleton removal
  91. Tue Jan 26 18:06:48 2021 begin with 102943732 relations and 85723890 unique ideals
  92. Tue Jan 26 18:07:36 2021 reduce to 102708719 relations and 81638735 ideals in 6 passes
  93. Tue Jan 26 18:07:36 2021 max relations containing the same ideal: 161
  94. Tue Jan 26 18:08:15 2021 removing 5803738 relations and 3803738 ideals in 2000000 cliques
  95. Tue Jan 26 18:08:18 2021 commencing in-memory singleton removal
  96. Tue Jan 26 18:08:24 2021 begin with 96904981 relations and 81638735 unique ideals
  97. Tue Jan 26 18:09:02 2021 reduce to 96663874 relations and 77589743 ideals in 5 passes
  98. Tue Jan 26 18:09:02 2021 max relations containing the same ideal: 154
  99. Tue Jan 26 18:09:38 2021 removing 5777340 relations and 3777340 ideals in 2000000 cliques
  100. Tue Jan 26 18:09:40 2021 commencing in-memory singleton removal
  101. Tue Jan 26 18:09:46 2021 begin with 90886534 relations and 77589743 unique ideals
  102. Tue Jan 26 18:10:28 2021 reduce to 90633591 relations and 73554603 ideals in 6 passes
  103. Tue Jan 26 18:10:28 2021 max relations containing the same ideal: 148
  104. Tue Jan 26 18:11:03 2021 removing 5767730 relations and 3767730 ideals in 2000000 cliques
  105. Tue Jan 26 18:11:05 2021 commencing in-memory singleton removal
  106. Tue Jan 26 18:11:11 2021 begin with 84865861 relations and 73554603 unique ideals
  107. Tue Jan 26 18:11:49 2021 reduce to 84600493 relations and 69516204 ideals in 6 passes
  108. Tue Jan 26 18:11:49 2021 max relations containing the same ideal: 143
  109. Tue Jan 26 18:12:22 2021 removing 5770461 relations and 3770461 ideals in 2000000 cliques
  110. Tue Jan 26 18:12:24 2021 commencing in-memory singleton removal
  111. Tue Jan 26 18:12:29 2021 begin with 78830032 relations and 69516204 unique ideals
  112. Tue Jan 26 18:13:05 2021 reduce to 78546388 relations and 65455894 ideals in 6 passes
  113. Tue Jan 26 18:13:05 2021 max relations containing the same ideal: 143
  114. Tue Jan 26 18:13:35 2021 removing 5789942 relations and 3789942 ideals in 2000000 cliques
  115. Tue Jan 26 18:13:37 2021 commencing in-memory singleton removal
  116. Tue Jan 26 18:13:42 2021 begin with 72756446 relations and 65455894 unique ideals
  117. Tue Jan 26 18:14:15 2021 reduce to 72451130 relations and 61353780 ideals in 6 passes
  118. Tue Jan 26 18:14:15 2021 max relations containing the same ideal: 131
  119. Tue Jan 26 18:14:43 2021 removing 5826772 relations and 3826772 ideals in 2000000 cliques
  120. Tue Jan 26 18:14:45 2021 commencing in-memory singleton removal
  121. Tue Jan 26 18:14:49 2021 begin with 66624358 relations and 61353780 unique ideals
  122. Tue Jan 26 18:15:24 2021 reduce to 66288841 relations and 57183235 ideals in 7 passes
  123. Tue Jan 26 18:15:24 2021 max relations containing the same ideal: 124
  124. Tue Jan 26 18:15:50 2021 removing 5877241 relations and 3877241 ideals in 2000000 cliques
  125. Tue Jan 26 18:15:52 2021 commencing in-memory singleton removal
  126. Tue Jan 26 18:15:56 2021 begin with 60411600 relations and 57183235 unique ideals
  127. Tue Jan 26 18:16:23 2021 reduce to 60038522 relations and 52923182 ideals in 6 passes
  128. Tue Jan 26 18:16:23 2021 max relations containing the same ideal: 114
  129. Tue Jan 26 18:16:46 2021 removing 5942341 relations and 3942341 ideals in 2000000 cliques
  130. Tue Jan 26 18:16:48 2021 commencing in-memory singleton removal
  131. Tue Jan 26 18:16:52 2021 begin with 54096181 relations and 52923182 unique ideals
  132. Tue Jan 26 18:17:19 2021 reduce to 53675869 relations and 48548438 ideals in 7 passes
  133. Tue Jan 26 18:17:19 2021 max relations containing the same ideal: 107
  134. Tue Jan 26 18:17:40 2021 removing 6032590 relations and 4032590 ideals in 2000000 cliques
  135. Tue Jan 26 18:17:42 2021 commencing in-memory singleton removal
  136. Tue Jan 26 18:17:45 2021 begin with 47643279 relations and 48548438 unique ideals
  137. Tue Jan 26 18:18:09 2021 reduce to 47155023 relations and 44012088 ideals in 7 passes
  138. Tue Jan 26 18:18:09 2021 max relations containing the same ideal: 102
  139. Tue Jan 26 18:18:28 2021 removing 6147723 relations and 4147723 ideals in 2000000 cliques
  140. Tue Jan 26 18:18:30 2021 commencing in-memory singleton removal
  141. Tue Jan 26 18:18:33 2021 begin with 41007300 relations and 44012088 unique ideals
  142. Tue Jan 26 18:18:56 2021 reduce to 40419576 relations and 39255688 ideals in 8 passes
  143. Tue Jan 26 18:18:56 2021 max relations containing the same ideal: 89
  144. Tue Jan 26 18:19:12 2021 removing 1011052 relations and 797704 ideals in 213348 cliques
  145. Tue Jan 26 18:19:13 2021 commencing in-memory singleton removal
  146. Tue Jan 26 18:19:16 2021 begin with 39408524 relations and 39255688 unique ideals
  147. Tue Jan 26 18:19:32 2021 reduce to 39390252 relations and 38439622 ideals in 6 passes
  148. Tue Jan 26 18:19:32 2021 max relations containing the same ideal: 88
  149. Tue Jan 26 18:19:38 2021 relations with 0 large ideals: 64478
  150. Tue Jan 26 18:19:38 2021 relations with 1 large ideals: 9464
  151. Tue Jan 26 18:19:38 2021 relations with 2 large ideals: 109200
  152. Tue Jan 26 18:19:38 2021 relations with 3 large ideals: 762986
  153. Tue Jan 26 18:19:38 2021 relations with 4 large ideals: 2998792
  154. Tue Jan 26 18:19:38 2021 relations with 5 large ideals: 8365862
  155. Tue Jan 26 18:19:38 2021 relations with 6 large ideals: 9928824
  156. Tue Jan 26 18:19:38 2021 relations with 7+ large ideals: 17150646
  157. Tue Jan 26 18:19:38 2021 commencing 2-way merge
  158. Tue Jan 26 18:20:00 2021 reduce to 27125348 relation sets and 26174718 unique ideals
  159. Tue Jan 26 18:20:00 2021 commencing full merge
  160. Tue Jan 26 18:38:01 2021 memory use: 1213.8 MB
  161. Tue Jan 26 18:38:01 2021 found 95895 cycles, need 5809631
  162. Tue Jan 26 18:38:01 2021 too few cycles, matrix probably cannot build
  163. Tue Jan 26 19:07:46 2021
  164. Tue Jan 26 19:07:46 2021
  165. Tue Jan 26 19:07:46 2021 Msieve v. 1.53 (SVN 988M)
  166. Tue Jan 26 19:07:46 2021 random seeds: 0eb29903 7c1294ce
  167. Tue Jan 26 19:07:46 2021 factoring 3998420810613790680189683942094769582386693898466037730713972378590172672863889187795369574170340157475974430752825666187484315151760278646910335700964732050527712495849869147337510214329921493618786220969053491 (211 digits)
  168. Tue Jan 26 19:07:46 2021 searching for 15-digit factors
  169. Tue Jan 26 19:07:47 2021 commencing number field sieve (211-digit input)
  170. Tue Jan 26 19:07:47 2021 R0: 16173092699229880893718618465586445357583280647840659957609
  171. Tue Jan 26 19:07:47 2021 R1: -2305843009213693952
  172. Tue Jan 26 19:07:47 2021 A0: 1
  173. Tue Jan 26 19:07:47 2021 A1: -1
  174. Tue Jan 26 19:07:47 2021 A2: 1
  175. Tue Jan 26 19:07:47 2021 A3: -1
  176. Tue Jan 26 19:07:47 2021 A4: 1
  177. Tue Jan 26 19:07:47 2021 skew 1.00, size 1.065e-23, alpha 1.694, combined = 4.017e-14 rroots = 0
  178. Tue Jan 26 19:07:47 2021
  179. Tue Jan 26 19:07:47 2021 commencing relation filtering
  180. Tue Jan 26 19:07:47 2021 setting target matrix density to 120.0
  181. Tue Jan 26 19:07:47 2021 estimated available RAM is 32768.0 MB
  182. Tue Jan 26 19:07:47 2021 commencing duplicate removal, pass 1
  183. Tue Jan 26 19:17:13 2021 error -15 reading relation 94239699
  184. Tue Jan 26 19:17:13 2021 error -15 reading relation 94245695
  185. Tue Jan 26 19:17:14 2021 error -15 reading relation 94426010
  186. Tue Jan 26 19:22:16 2021 error -11 reading relation 144494428
  187. Tue Jan 26 19:27:42 2021 error -5 reading relation 198432724
  188. Tue Jan 26 19:28:27 2021 error -15 reading relation 205939424
  189. Tue Jan 26 19:28:37 2021 error -11 reading relation 207546718
  190. Tue Jan 26 19:29:09 2021 skipped 5569 relations with b > 2^32
  191. Tue Jan 26 19:29:09 2021 skipped 4 relations with composite factors
  192. Tue Jan 26 19:29:09 2021 found 9870778 hash collisions in 212723109 relations
  193. Tue Jan 26 19:29:09 2021 commencing duplicate removal, pass 2
  194. Tue Jan 26 19:38:04 2021 found 0 duplicates and 212723109 unique relations
  195. Tue Jan 26 19:38:04 2021 memory use: 522.4 MB
  196. Tue Jan 26 19:38:04 2021 reading ideals above 209649664
  197. Tue Jan 26 19:38:04 2021 commencing singleton removal, initial pass
  198. Tue Jan 26 19:53:21 2021 memory use: 3012.0 MB
  199. Tue Jan 26 19:53:22 2021 reading all ideals from disk
  200. Tue Jan 26 19:54:48 2021 memory use: 3657.4 MB
  201. Tue Jan 26 19:54:56 2021 commencing in-memory singleton removal
  202. Tue Jan 26 19:55:03 2021 begin with 212723109 relations and 157544959 unique ideals
  203. Tue Jan 26 19:56:22 2021 reduce to 158378350 relations and 98995171 ideals in 11 passes
  204. Tue Jan 26 19:56:22 2021 max relations containing the same ideal: 46
  205. Tue Jan 26 19:56:41 2021 reading ideals above 720000
  206. Tue Jan 26 19:56:41 2021 commencing singleton removal, initial pass
  207. Tue Jan 26 20:12:16 2021 memory use: 3012.0 MB
  208. Tue Jan 26 20:12:17 2021 reading all ideals from disk
  209. Tue Jan 26 20:14:50 2021 memory use: 6492.0 MB
  210. Tue Jan 26 20:15:04 2021 keeping 121342254 ideals with weight <= 200, target excess is 819431
  211. Tue Jan 26 20:15:20 2021 commencing in-memory singleton removal
  212. Tue Jan 26 20:15:31 2021 begin with 158378350 relations and 121342254 unique ideals
  213. Tue Jan 26 20:16:47 2021 reduce to 158366022 relations and 121329857 ideals in 6 passes
  214. Tue Jan 26 20:16:47 2021 max relations containing the same ideal: 200
  215. Tue Jan 26 20:17:44 2021 removing 9360892 relations and 7360892 ideals in 2000000 cliques
  216. Tue Jan 26 20:17:48 2021 commencing in-memory singleton removal
  217. Tue Jan 26 20:17:59 2021 begin with 149005130 relations and 121329857 unique ideals
  218. Tue Jan 26 20:19:22 2021 reduce to 148560227 relations and 113516651 ideals in 7 passes
  219. Tue Jan 26 20:19:22 2021 max relations containing the same ideal: 198
  220. Tue Jan 26 20:20:16 2021 removing 7252413 relations and 5252413 ideals in 2000000 cliques
  221. Tue Jan 26 20:20:19 2021 commencing in-memory singleton removal
  222. Tue Jan 26 20:20:29 2021 begin with 141307814 relations and 113516651 unique ideals
  223. Tue Jan 26 20:21:48 2021 reduce to 141009190 relations and 107961220 ideals in 7 passes
  224. Tue Jan 26 20:21:48 2021 max relations containing the same ideal: 195
  225. Tue Jan 26 20:22:39 2021 removing 6642067 relations and 4642067 ideals in 2000000 cliques
  226. Tue Jan 26 20:22:42 2021 commencing in-memory singleton removal
  227. Tue Jan 26 20:22:52 2021 begin with 134367123 relations and 107961220 unique ideals
  228. Tue Jan 26 20:23:56 2021 reduce to 134106722 relations and 103054939 ideals in 6 passes
  229. Tue Jan 26 20:23:56 2021 max relations containing the same ideal: 189
  230. Tue Jan 26 20:24:45 2021 removing 6329612 relations and 4329612 ideals in 2000000 cliques
  231. Tue Jan 26 20:24:48 2021 commencing in-memory singleton removal
  232. Tue Jan 26 20:24:56 2021 begin with 127777110 relations and 103054939 unique ideals
  233. Tue Jan 26 20:25:57 2021 reduce to 127535197 relations and 98479968 ideals in 6 passes
  234. Tue Jan 26 20:25:57 2021 max relations containing the same ideal: 185
  235. Tue Jan 26 20:26:44 2021 removing 6132516 relations and 4132516 ideals in 2000000 cliques
  236. Tue Jan 26 20:26:47 2021 commencing in-memory singleton removal
  237. Tue Jan 26 20:26:55 2021 begin with 121402681 relations and 98479968 unique ideals
  238. Tue Jan 26 20:27:52 2021 reduce to 121168387 relations and 94109664 ideals in 6 passes
  239. Tue Jan 26 20:27:52 2021 max relations containing the same ideal: 182
  240. Tue Jan 26 20:28:37 2021 removing 6005110 relations and 4005110 ideals in 2000000 cliques
  241. Tue Jan 26 20:28:39 2021 commencing in-memory singleton removal
  242. Tue Jan 26 20:28:47 2021 begin with 115163277 relations and 94109664 unique ideals
  243. Tue Jan 26 20:29:33 2021 reduce to 114934038 relations and 89871743 ideals in 5 passes
  244. Tue Jan 26 20:29:33 2021 max relations containing the same ideal: 175
  245. Tue Jan 26 20:30:16 2021 removing 5912891 relations and 3912891 ideals in 2000000 cliques
  246. Tue Jan 26 20:30:18 2021 commencing in-memory singleton removal
  247. Tue Jan 26 20:30:26 2021 begin with 109021147 relations and 89871743 unique ideals
  248. Tue Jan 26 20:31:17 2021 reduce to 108789914 relations and 85723890 ideals in 6 passes
  249. Tue Jan 26 20:31:17 2021 max relations containing the same ideal: 169
  250. Tue Jan 26 20:31:57 2021 removing 5846182 relations and 3846182 ideals in 2000000 cliques
  251. Tue Jan 26 20:31:59 2021 commencing in-memory singleton removal
  252. Tue Jan 26 20:32:06 2021 begin with 102943732 relations and 85723890 unique ideals
  253. Tue Jan 26 20:32:54 2021 reduce to 102708719 relations and 81638735 ideals in 6 passes
  254. Tue Jan 26 20:32:54 2021 max relations containing the same ideal: 161
  255. Tue Jan 26 20:33:32 2021 removing 5803738 relations and 3803738 ideals in 2000000 cliques
  256. Tue Jan 26 20:33:35 2021 commencing in-memory singleton removal
  257. Tue Jan 26 20:33:42 2021 begin with 96904981 relations and 81638735 unique ideals
  258. Tue Jan 26 20:34:19 2021 reduce to 96663874 relations and 77589743 ideals in 5 passes
  259. Tue Jan 26 20:34:19 2021 max relations containing the same ideal: 154
  260. Tue Jan 26 20:34:55 2021 removing 5777340 relations and 3777340 ideals in 2000000 cliques
  261. Tue Jan 26 20:34:58 2021 commencing in-memory singleton removal
  262. Tue Jan 26 20:35:04 2021 begin with 90886534 relations and 77589743 unique ideals
  263. Tue Jan 26 20:35:46 2021 reduce to 90633591 relations and 73554603 ideals in 6 passes
  264. Tue Jan 26 20:35:46 2021 max relations containing the same ideal: 148
  265. Tue Jan 26 20:36:20 2021 removing 5767730 relations and 3767730 ideals in 2000000 cliques
  266. Tue Jan 26 20:36:22 2021 commencing in-memory singleton removal
  267. Tue Jan 26 20:36:28 2021 begin with 84865861 relations and 73554603 unique ideals
  268. Tue Jan 26 20:37:07 2021 reduce to 84600493 relations and 69516204 ideals in 6 passes
  269. Tue Jan 26 20:37:07 2021 max relations containing the same ideal: 143
  270. Tue Jan 26 20:37:39 2021 removing 5770461 relations and 3770461 ideals in 2000000 cliques
  271. Tue Jan 26 20:37:41 2021 commencing in-memory singleton removal
  272. Tue Jan 26 20:37:46 2021 begin with 78830032 relations and 69516204 unique ideals
  273. Tue Jan 26 20:38:22 2021 reduce to 78546388 relations and 65455894 ideals in 6 passes
  274. Tue Jan 26 20:38:22 2021 max relations containing the same ideal: 143
  275. Tue Jan 26 20:38:52 2021 removing 5789942 relations and 3789942 ideals in 2000000 cliques
  276. Tue Jan 26 20:38:54 2021 commencing in-memory singleton removal
  277. Tue Jan 26 20:38:59 2021 begin with 72756446 relations and 65455894 unique ideals
  278. Tue Jan 26 20:39:31 2021 reduce to 72451130 relations and 61353780 ideals in 6 passes
  279. Tue Jan 26 20:39:31 2021 max relations containing the same ideal: 131
  280. Tue Jan 26 20:39:59 2021 removing 5826772 relations and 3826772 ideals in 2000000 cliques
  281. Tue Jan 26 20:40:01 2021 commencing in-memory singleton removal
  282. Tue Jan 26 20:40:06 2021 begin with 66624358 relations and 61353780 unique ideals
  283. Tue Jan 26 20:40:40 2021 reduce to 66288841 relations and 57183235 ideals in 7 passes
  284. Tue Jan 26 20:40:40 2021 max relations containing the same ideal: 124
  285. Tue Jan 26 20:41:06 2021 removing 5877241 relations and 3877241 ideals in 2000000 cliques
  286. Tue Jan 26 20:41:08 2021 commencing in-memory singleton removal
  287. Tue Jan 26 20:41:12 2021 begin with 60411600 relations and 57183235 unique ideals
  288. Tue Jan 26 20:41:38 2021 reduce to 60038522 relations and 52923182 ideals in 6 passes
  289. Tue Jan 26 20:41:38 2021 max relations containing the same ideal: 114
  290. Tue Jan 26 20:42:02 2021 removing 5942341 relations and 3942341 ideals in 2000000 cliques
  291. Tue Jan 26 20:42:04 2021 commencing in-memory singleton removal
  292. Tue Jan 26 20:42:07 2021 begin with 54096181 relations and 52923182 unique ideals
  293. Tue Jan 26 20:42:35 2021 reduce to 53675869 relations and 48548438 ideals in 7 passes
  294. Tue Jan 26 20:42:35 2021 max relations containing the same ideal: 107
  295. Tue Jan 26 20:42:55 2021 removing 6032590 relations and 4032590 ideals in 2000000 cliques
  296. Tue Jan 26 20:42:57 2021 commencing in-memory singleton removal
  297. Tue Jan 26 20:43:00 2021 begin with 47643279 relations and 48548438 unique ideals
  298. Tue Jan 26 20:43:24 2021 reduce to 47155023 relations and 44012088 ideals in 7 passes
  299. Tue Jan 26 20:43:24 2021 max relations containing the same ideal: 102
  300. Tue Jan 26 20:43:43 2021 removing 6147723 relations and 4147723 ideals in 2000000 cliques
  301. Tue Jan 26 20:43:45 2021 commencing in-memory singleton removal
  302. Tue Jan 26 20:43:47 2021 begin with 41007300 relations and 44012088 unique ideals
  303. Tue Jan 26 20:44:10 2021 reduce to 40419576 relations and 39255688 ideals in 8 passes
  304. Tue Jan 26 20:44:10 2021 max relations containing the same ideal: 89
  305. Tue Jan 26 20:44:26 2021 removing 1011052 relations and 797704 ideals in 213348 cliques
  306. Tue Jan 26 20:44:27 2021 commencing in-memory singleton removal
  307. Tue Jan 26 20:44:30 2021 begin with 39408524 relations and 39255688 unique ideals
  308. Tue Jan 26 20:44:46 2021 reduce to 39390252 relations and 38439622 ideals in 6 passes
  309. Tue Jan 26 20:44:46 2021 max relations containing the same ideal: 88
  310. Tue Jan 26 20:44:52 2021 relations with 0 large ideals: 64478
  311. Tue Jan 26 20:44:52 2021 relations with 1 large ideals: 9464
  312. Tue Jan 26 20:44:52 2021 relations with 2 large ideals: 109200
  313. Tue Jan 26 20:44:52 2021 relations with 3 large ideals: 762986
  314. Tue Jan 26 20:44:52 2021 relations with 4 large ideals: 2998792
  315. Tue Jan 26 20:44:52 2021 relations with 5 large ideals: 8365862
  316. Tue Jan 26 20:44:52 2021 relations with 6 large ideals: 9928824
  317. Tue Jan 26 20:44:52 2021 relations with 7+ large ideals: 17150646
  318. Tue Jan 26 20:44:52 2021 commencing 2-way merge
  319. Tue Jan 26 20:45:14 2021 reduce to 27125348 relation sets and 26174718 unique ideals
  320. Tue Jan 26 20:45:14 2021 commencing full merge
  321. Tue Jan 26 20:55:36 2021 memory use: 3398.3 MB
  322. Tue Jan 26 20:55:42 2021 found 12122251 cycles, need 12106918
  323. Tue Jan 26 20:55:43 2021 weight of 12106918 cycles is about 1452935234 (120.01/cycle)
  324. Tue Jan 26 20:55:43 2021 distribution of cycle lengths:
  325. Tue Jan 26 20:55:43 2021 1 relations: 463334
  326. Tue Jan 26 20:55:43 2021 2 relations: 648354
  327. Tue Jan 26 20:55:43 2021 3 relations: 774736
  328. Tue Jan 26 20:55:43 2021 4 relations: 823781
  329. Tue Jan 26 20:55:43 2021 5 relations: 852047
  330. Tue Jan 26 20:55:43 2021 6 relations: 859742
  331. Tue Jan 26 20:55:43 2021 7 relations: 849422
  332. Tue Jan 26 20:55:43 2021 8 relations: 820766
  333. Tue Jan 26 20:55:43 2021 9 relations: 780767
  334. Tue Jan 26 20:55:43 2021 10+ relations: 5233969
  335. Tue Jan 26 20:55:43 2021 heaviest cycle: 28 relations
  336. Tue Jan 26 20:55:49 2021 commencing cycle optimization
  337. Tue Jan 26 20:56:18 2021 start with 113407551 relations
  338. Tue Jan 26 21:01:32 2021 pruned 6107395 relations
  339. Tue Jan 26 21:01:33 2021 memory use: 2808.2 MB
  340. Tue Jan 26 21:01:33 2021 distribution of cycle lengths:
  341. Tue Jan 26 21:01:33 2021 1 relations: 463334
  342. Tue Jan 26 21:01:33 2021 2 relations: 663272
  343. Tue Jan 26 21:01:33 2021 3 relations: 809462
  344. Tue Jan 26 21:01:33 2021 4 relations: 862830
  345. Tue Jan 26 21:01:33 2021 5 relations: 902453
  346. Tue Jan 26 21:01:33 2021 6 relations: 909797
  347. Tue Jan 26 21:01:33 2021 7 relations: 904900
  348. Tue Jan 26 21:01:33 2021 8 relations: 870645
  349. Tue Jan 26 21:01:33 2021 9 relations: 828010
  350. Tue Jan 26 21:01:33 2021 10+ relations: 4892215
  351. Tue Jan 26 21:01:33 2021 heaviest cycle: 28 relations
  352. Tue Jan 26 21:02:11 2021 RelProcTime: 6864
  353. Tue Jan 26 21:02:11 2021
  354. Tue Jan 26 21:02:11 2021 commencing linear algebra
  355. Tue Jan 26 21:02:13 2021 read 12106918 cycles
  356. Tue Jan 26 21:02:41 2021 cycles contain 38958547 unique relations
  357. Tue Jan 26 21:11:49 2021 read 38958547 relations
  358. Tue Jan 26 21:13:15 2021 using 20 quadratic characters above 4294917295
  359. Tue Jan 26 21:15:26 2021 building initial matrix
  360. Tue Jan 26 21:22:14 2021 memory use: 5015.8 MB
  361. Tue Jan 26 21:24:37 2021 read 12106918 cycles
  362. Tue Jan 26 21:24:38 2021 matrix is 12106741 x 12106918 (5670.3 MB) with weight 1622058818 (133.98/col)
  363. Tue Jan 26 21:24:38 2021 sparse part has weight 1353265629 (111.78/col)
  364. Tue Jan 26 21:26:51 2021 filtering completed in 2 passes
  365. Tue Jan 26 21:26:53 2021 matrix is 12106667 x 12106844 (5670.3 MB) with weight 1622056302 (133.98/col)
  366. Tue Jan 26 21:26:53 2021 sparse part has weight 1353264902 (111.78/col)
  367. Tue Jan 26 21:29:38 2021 matrix starts at (0, 0)
  368. Tue Jan 26 21:29:39 2021 matrix is 12106667 x 12106844 (5670.3 MB) with weight 1622056302 (133.98/col)
  369. Tue Jan 26 21:29:39 2021 sparse part has weight 1353264902 (111.78/col)
  370. Tue Jan 26 21:29:39 2021 saving the first 48 matrix rows for later
  371. Tue Jan 26 21:29:41 2021 matrix includes 64 packed rows
  372. Tue Jan 26 21:29:42 2021 matrix is 12106619 x 12106844 (5434.0 MB) with weight 1396447024 (115.34/col)
  373. Tue Jan 26 21:29:42 2021 sparse part has weight 1303408982 (107.66/col)
  374. Tue Jan 26 21:29:42 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  375. Tue Jan 26 21:30:47 2021 commencing Lanczos iteration (16 threads)
  376. Tue Jan 26 21:30:47 2021 memory use: 4658.2 MB
  377. Tue Jan 26 21:31:02 2021 linear algebra at 0.0%, ETA 31h 5m
  378. Tue Jan 26 21:31:07 2021 checkpointing every 390000 dimensions
  379. Thu Jan 28 03:49:21 2021 lanczos halted after 191460 iterations (dim = 12106616)
  380. Thu Jan 28 03:49:31 2021 recovered 36 nontrivial dependencies
  381. Thu Jan 28 03:49:36 2021 BLanczosTime: 110845
  382. Thu Jan 28 03:49:36 2021
  383. Thu Jan 28 03:49:36 2021 commencing square root phase
  384. Thu Jan 28 03:49:36 2021 handling dependencies 1 to 64
  385. Thu Jan 28 03:49:36 2021 reading relations for dependency 1
  386. Thu Jan 28 03:49:47 2021 read 6054541 cycles
  387. Thu Jan 28 03:50:00 2021 cycles contain 19481730 unique relations
  388. Thu Jan 28 03:59:05 2021 read 19481730 relations
  389. Thu Jan 28 04:00:21 2021 multiplying 19481730 relations
  390. Thu Jan 28 04:05:44 2021 multiply complete, coefficients have about 519.84 million bits
  391. Thu Jan 28 04:05:45 2021 initial square root is modulo 2126011903
  392. Thu Jan 28 04:11:35 2021 GCD is N, no factor found
  393. Thu Jan 28 04:11:35 2021 reading relations for dependency 2
  394. Thu Jan 28 04:11:48 2021 read 6051305 cycles
  395. Thu Jan 28 04:12:01 2021 cycles contain 19476080 unique relations
  396. Thu Jan 28 04:21:06 2021 read 19476080 relations
  397. Thu Jan 28 04:22:23 2021 multiplying 19476080 relations
  398. Thu Jan 28 04:27:46 2021 multiply complete, coefficients have about 519.69 million bits
  399. Thu Jan 28 04:27:47 2021 initial square root is modulo 2112490823
  400. Thu Jan 28 04:33:25 2021 sqrtTime: 2629
  401. Thu Jan 28 04:33:25 2021 p86 factor: 33886426314493237523028241894757682498248211508090019580110200268685617316223681971361
  402. Thu Jan 28 04:33:25 2021 p126 factor: 117994762076863341795841668644284580240977816180109740040527432511305895847688485830043935916539250426826401980016279610453331
  403. Thu Jan 28 04:33:25 2021 elapsed time 33:25:39
  404.  
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