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4m3_497

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Feb 1st, 2021
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  1. Sat Jan 30 10:14:10 2021
  2. Sat Jan 30 10:14:10 2021
  3. Sat Jan 30 10:14:10 2021 Msieve v. 1.53 (SVN 988M)
  4. Sat Jan 30 10:14:10 2021 random seeds: 82258aa8 cef103e4
  5. Sat Jan 30 10:14:10 2021 factoring 2115240357516914484559642684273269625395912150488160463195851912035367652083596499264505668604724030428034828850662065686290596806131382769059948265851775133651887680161626234373523545738611352918716747064498569204581374825638784647807746502854283202149 (253 digits)
  6. Sat Jan 30 10:14:11 2021 searching for 15-digit factors
  7. Sat Jan 30 10:14:12 2021 commencing number field sieve (253-digit input)
  8. Sat Jan 30 10:14:12 2021 R0: 5575186299632655785383929568162090376495104
  9. Sat Jan 30 10:14:12 2021 R1: -7509466514979724803946715958257547
  10. Sat Jan 30 10:14:12 2021 A0: 1
  11. Sat Jan 30 10:14:12 2021 A1: 1
  12. Sat Jan 30 10:14:12 2021 A2: 1
  13. Sat Jan 30 10:14:12 2021 A3: 1
  14. Sat Jan 30 10:14:12 2021 A4: 1
  15. Sat Jan 30 10:14:12 2021 A5: 1
  16. Sat Jan 30 10:14:12 2021 A6: 1
  17. Sat Jan 30 10:14:12 2021 skew 1.00, size 1.190e-12, alpha 2.428, combined = 1.318e-13 rroots = 0
  18. Sat Jan 30 10:14:12 2021
  19. Sat Jan 30 10:14:12 2021 commencing relation filtering
  20. Sat Jan 30 10:14:12 2021 setting target matrix density to 130.0
  21. Sat Jan 30 10:14:12 2021 estimated available RAM is 32768.0 MB
  22. Sat Jan 30 10:14:12 2021 commencing duplicate removal, pass 1
  23. Sat Jan 30 10:19:18 2021 error -15 reading relation 52279369
  24. Sat Jan 30 10:28:02 2021 error -15 reading relation 141325520
  25. Sat Jan 30 10:28:47 2021 error -1 reading relation 148858171
  26. Sat Jan 30 10:34:51 2021 skipped 747 relations with b > 2^32
  27. Sat Jan 30 10:34:51 2021 skipped 2 relations with composite factors
  28. Sat Jan 30 10:34:51 2021 found 9680159 hash collisions in 210467178 relations
  29. Sat Jan 30 10:34:56 2021 added 2438534 free relations
  30. Sat Jan 30 10:34:56 2021 commencing duplicate removal, pass 2
  31. Sat Jan 30 10:35:44 2021 found 0 duplicates and 212905712 unique relations
  32. Sat Jan 30 10:35:44 2021 memory use: 522.4 MB
  33. Sat Jan 30 10:35:44 2021 reading ideals above 169934848
  34. Sat Jan 30 10:35:44 2021 commencing singleton removal, initial pass
  35. Sat Jan 30 10:50:48 2021 memory use: 5512.0 MB
  36. Sat Jan 30 10:50:49 2021 reading all ideals from disk
  37. Sat Jan 30 10:50:51 2021 memory use: 3703.2 MB
  38. Sat Jan 30 10:50:58 2021 commencing in-memory singleton removal
  39. Sat Jan 30 10:51:05 2021 begin with 212905712 relations and 164677572 unique ideals
  40. Sat Jan 30 10:52:20 2021 reduce to 154704597 relations and 101689588 ideals in 11 passes
  41. Sat Jan 30 10:52:20 2021 max relations containing the same ideal: 46
  42. Sat Jan 30 10:52:31 2021 reading ideals above 720000
  43. Sat Jan 30 10:52:32 2021 commencing singleton removal, initial pass
  44. Sat Jan 30 11:07:36 2021 memory use: 3012.0 MB
  45. Sat Jan 30 11:07:36 2021 reading all ideals from disk
  46. Sat Jan 30 11:07:40 2021 memory use: 6347.2 MB
  47. Sat Jan 30 11:07:53 2021 keeping 119877870 ideals with weight <= 200, target excess is 811891
  48. Sat Jan 30 11:08:08 2021 commencing in-memory singleton removal
  49. Sat Jan 30 11:08:19 2021 begin with 154704597 relations and 119877870 unique ideals
  50. Sat Jan 30 11:09:18 2021 reduce to 154704111 relations and 119877383 ideals in 5 passes
  51. Sat Jan 30 11:09:18 2021 max relations containing the same ideal: 200
  52. Sat Jan 30 11:10:14 2021 removing 9965962 relations and 7965962 ideals in 2000000 cliques
  53. Sat Jan 30 11:10:17 2021 commencing in-memory singleton removal
  54. Sat Jan 30 11:10:27 2021 begin with 144738149 relations and 119877383 unique ideals
  55. Sat Jan 30 11:11:56 2021 reduce to 144224985 relations and 111389586 ideals in 8 passes
  56. Sat Jan 30 11:11:56 2021 max relations containing the same ideal: 198
  57. Sat Jan 30 11:12:47 2021 removing 7674678 relations and 5674678 ideals in 2000000 cliques
  58. Sat Jan 30 11:12:51 2021 commencing in-memory singleton removal
  59. Sat Jan 30 11:13:00 2021 begin with 136550307 relations and 111389586 unique ideals
  60. Sat Jan 30 11:14:12 2021 reduce to 136208450 relations and 105368023 ideals in 7 passes
  61. Sat Jan 30 11:14:12 2021 max relations containing the same ideal: 193
  62. Sat Jan 30 11:15:02 2021 removing 7006045 relations and 5006045 ideals in 2000000 cliques
  63. Sat Jan 30 11:15:05 2021 commencing in-memory singleton removal
  64. Sat Jan 30 11:15:14 2021 begin with 129202405 relations and 105368023 unique ideals
  65. Sat Jan 30 11:16:12 2021 reduce to 128901417 relations and 100056640 ideals in 6 passes
  66. Sat Jan 30 11:16:12 2021 max relations containing the same ideal: 187
  67. Sat Jan 30 11:16:59 2021 removing 6661979 relations and 4661979 ideals in 2000000 cliques
  68. Sat Jan 30 11:17:02 2021 commencing in-memory singleton removal
  69. Sat Jan 30 11:17:10 2021 begin with 122239438 relations and 100056640 unique ideals
  70. Sat Jan 30 11:18:06 2021 reduce to 121959890 relations and 95110879 ideals in 6 passes
  71. Sat Jan 30 11:18:06 2021 max relations containing the same ideal: 181
  72. Sat Jan 30 11:18:50 2021 removing 6445136 relations and 4445136 ideals in 2000000 cliques
  73. Sat Jan 30 11:18:52 2021 commencing in-memory singleton removal
  74. Sat Jan 30 11:19:00 2021 begin with 115514754 relations and 95110879 unique ideals
  75. Sat Jan 30 11:20:10 2021 reduce to 115246757 relations and 90393673 ideals in 8 passes
  76. Sat Jan 30 11:20:10 2021 max relations containing the same ideal: 177
  77. Sat Jan 30 11:20:52 2021 removing 6301385 relations and 4301385 ideals in 2000000 cliques
  78. Sat Jan 30 11:20:55 2021 commencing in-memory singleton removal
  79. Sat Jan 30 11:21:02 2021 begin with 108945372 relations and 90393673 unique ideals
  80. Sat Jan 30 11:21:51 2021 reduce to 108680312 relations and 85822850 ideals in 6 passes
  81. Sat Jan 30 11:21:51 2021 max relations containing the same ideal: 169
  82. Sat Jan 30 11:22:31 2021 removing 6199003 relations and 4199003 ideals in 2000000 cliques
  83. Sat Jan 30 11:22:33 2021 commencing in-memory singleton removal
  84. Sat Jan 30 11:22:40 2021 begin with 102481309 relations and 85822850 unique ideals
  85. Sat Jan 30 11:23:26 2021 reduce to 102216290 relations and 81354423 ideals in 6 passes
  86. Sat Jan 30 11:23:26 2021 max relations containing the same ideal: 165
  87. Sat Jan 30 11:24:04 2021 removing 6130566 relations and 4130566 ideals in 2000000 cliques
  88. Sat Jan 30 11:24:07 2021 commencing in-memory singleton removal
  89. Sat Jan 30 11:24:13 2021 begin with 96085724 relations and 81354423 unique ideals
  90. Sat Jan 30 11:25:03 2021 reduce to 95813220 relations and 76946432 ideals in 7 passes
  91. Sat Jan 30 11:25:03 2021 max relations containing the same ideal: 156
  92. Sat Jan 30 11:25:39 2021 removing 6079135 relations and 4079135 ideals in 2000000 cliques
  93. Sat Jan 30 11:25:41 2021 commencing in-memory singleton removal
  94. Sat Jan 30 11:25:47 2021 begin with 89734085 relations and 76946432 unique ideals
  95. Sat Jan 30 11:26:33 2021 reduce to 89454082 relations and 72582117 ideals in 7 passes
  96. Sat Jan 30 11:26:33 2021 max relations containing the same ideal: 148
  97. Sat Jan 30 11:27:06 2021 removing 6048979 relations and 4048979 ideals in 2000000 cliques
  98. Sat Jan 30 11:27:08 2021 commencing in-memory singleton removal
  99. Sat Jan 30 11:27:14 2021 begin with 83405103 relations and 72582117 unique ideals
  100. Sat Jan 30 11:27:57 2021 reduce to 83112886 relations and 68235104 ideals in 7 passes
  101. Sat Jan 30 11:27:57 2021 max relations containing the same ideal: 142
  102. Sat Jan 30 11:28:28 2021 removing 6033006 relations and 4033006 ideals in 2000000 cliques
  103. Sat Jan 30 11:28:30 2021 commencing in-memory singleton removal
  104. Sat Jan 30 11:28:35 2021 begin with 77079880 relations and 68235104 unique ideals
  105. Sat Jan 30 11:29:09 2021 reduce to 76769848 relations and 63885569 ideals in 6 passes
  106. Sat Jan 30 11:29:09 2021 max relations containing the same ideal: 136
  107. Sat Jan 30 11:29:38 2021 removing 6033293 relations and 4033293 ideals in 2000000 cliques
  108. Sat Jan 30 11:29:40 2021 commencing in-memory singleton removal
  109. Sat Jan 30 11:29:45 2021 begin with 70736555 relations and 63885569 unique ideals
  110. Sat Jan 30 11:30:15 2021 reduce to 70407823 relations and 59515833 ideals in 6 passes
  111. Sat Jan 30 11:30:15 2021 max relations containing the same ideal: 130
  112. Sat Jan 30 11:30:43 2021 removing 6047131 relations and 4047131 ideals in 2000000 cliques
  113. Sat Jan 30 11:30:45 2021 commencing in-memory singleton removal
  114. Sat Jan 30 11:30:49 2021 begin with 64360692 relations and 59515833 unique ideals
  115. Sat Jan 30 11:31:21 2021 reduce to 64002446 relations and 55101624 ideals in 7 passes
  116. Sat Jan 30 11:31:21 2021 max relations containing the same ideal: 120
  117. Sat Jan 30 11:31:45 2021 removing 6073624 relations and 4073624 ideals in 2000000 cliques
  118. Sat Jan 30 11:31:47 2021 commencing in-memory singleton removal
  119. Sat Jan 30 11:31:51 2021 begin with 57928822 relations and 55101624 unique ideals
  120. Sat Jan 30 11:32:16 2021 reduce to 57535361 relations and 50623843 ideals in 6 passes
  121. Sat Jan 30 11:32:16 2021 max relations containing the same ideal: 113
  122. Sat Jan 30 11:32:38 2021 removing 6108955 relations and 4108955 ideals in 2000000 cliques
  123. Sat Jan 30 11:32:40 2021 commencing in-memory singleton removal
  124. Sat Jan 30 11:32:43 2021 begin with 51426406 relations and 50623843 unique ideals
  125. Sat Jan 30 11:33:09 2021 reduce to 50988982 relations and 46064361 ideals in 7 passes
  126. Sat Jan 30 11:33:09 2021 max relations containing the same ideal: 102
  127. Sat Jan 30 11:33:28 2021 removing 6153622 relations and 4153622 ideals in 2000000 cliques
  128. Sat Jan 30 11:33:30 2021 commencing in-memory singleton removal
  129. Sat Jan 30 11:33:33 2021 begin with 44835360 relations and 46064361 unique ideals
  130. Sat Jan 30 11:33:55 2021 reduce to 44335903 relations and 41394733 ideals in 7 passes
  131. Sat Jan 30 11:33:55 2021 max relations containing the same ideal: 92
  132. Sat Jan 30 11:34:12 2021 removing 6210608 relations and 4211232 ideals in 1999376 cliques
  133. Sat Jan 30 11:34:14 2021 commencing in-memory singleton removal
  134. Sat Jan 30 11:34:16 2021 begin with 38125295 relations and 41394733 unique ideals
  135. Sat Jan 30 11:34:37 2021 reduce to 37532956 relations and 36568504 ideals in 8 passes
  136. Sat Jan 30 11:34:37 2021 max relations containing the same ideal: 82
  137. Sat Jan 30 11:34:52 2021 removing 145068 relations and 122410 ideals in 22658 cliques
  138. Sat Jan 30 11:34:53 2021 commencing in-memory singleton removal
  139. Sat Jan 30 11:34:55 2021 begin with 37387888 relations and 36568504 unique ideals
  140. Sat Jan 30 11:35:05 2021 reduce to 37387569 relations and 36445775 ideals in 4 passes
  141. Sat Jan 30 11:35:05 2021 max relations containing the same ideal: 82
  142. Sat Jan 30 11:35:11 2021 relations with 0 large ideals: 61041
  143. Sat Jan 30 11:35:11 2021 relations with 1 large ideals: 13304
  144. Sat Jan 30 11:35:11 2021 relations with 2 large ideals: 115299
  145. Sat Jan 30 11:35:11 2021 relations with 3 large ideals: 786813
  146. Sat Jan 30 11:35:11 2021 relations with 4 large ideals: 2956843
  147. Sat Jan 30 11:35:11 2021 relations with 5 large ideals: 6676817
  148. Sat Jan 30 11:35:11 2021 relations with 6 large ideals: 9510794
  149. Sat Jan 30 11:35:11 2021 relations with 7+ large ideals: 17266658
  150. Sat Jan 30 11:35:11 2021 commencing 2-way merge
  151. Sat Jan 30 11:35:31 2021 reduce to 25410367 relation sets and 24468573 unique ideals
  152. Sat Jan 30 11:35:31 2021 commencing full merge
  153. Sat Jan 30 11:55:45 2021 memory use: 1135.0 MB
  154. Sat Jan 30 11:55:45 2021 found 86938 cycles, need 5420091
  155. Sat Jan 30 11:55:45 2021 too few cycles, matrix probably cannot build
  156. Sat Jan 30 11:57:03 2021
  157. Sat Jan 30 11:57:03 2021
  158. Sat Jan 30 11:57:03 2021 Msieve v. 1.53 (SVN 988M)
  159. Sat Jan 30 11:57:03 2021 random seeds: ca2a1c37 b0bc7d21
  160. Sat Jan 30 11:57:03 2021 factoring 2115240357516914484559642684273269625395912150488160463195851912035367652083596499264505668604724030428034828850662065686290596806131382769059948265851775133651887680161626234373523545738611352918716747064498569204581374825638784647807746502854283202149 (253 digits)
  161. Sat Jan 30 11:57:04 2021 searching for 15-digit factors
  162. Sat Jan 30 11:57:05 2021 commencing number field sieve (253-digit input)
  163. Sat Jan 30 11:57:05 2021 R0: 5575186299632655785383929568162090376495104
  164. Sat Jan 30 11:57:05 2021 R1: -7509466514979724803946715958257547
  165. Sat Jan 30 11:57:05 2021 A0: 1
  166. Sat Jan 30 11:57:05 2021 A1: 1
  167. Sat Jan 30 11:57:05 2021 A2: 1
  168. Sat Jan 30 11:57:05 2021 A3: 1
  169. Sat Jan 30 11:57:05 2021 A4: 1
  170. Sat Jan 30 11:57:05 2021 A5: 1
  171. Sat Jan 30 11:57:05 2021 A6: 1
  172. Sat Jan 30 11:57:05 2021 skew 1.00, size 1.190e-12, alpha 2.428, combined = 1.318e-13 rroots = 0
  173. Sat Jan 30 11:57:05 2021
  174. Sat Jan 30 11:57:05 2021 commencing relation filtering
  175. Sat Jan 30 11:57:05 2021 setting target matrix density to 124.0
  176. Sat Jan 30 11:57:05 2021 estimated available RAM is 32768.0 MB
  177. Sat Jan 30 11:57:05 2021 commencing duplicate removal, pass 1
  178. Sat Jan 30 12:02:11 2021 error -15 reading relation 52279369
  179. Sat Jan 30 12:10:54 2021 error -15 reading relation 141325520
  180. Sat Jan 30 12:11:38 2021 error -1 reading relation 148858171
  181. Sat Jan 30 12:18:10 2021 skipped 747 relations with b > 2^32
  182. Sat Jan 30 12:18:10 2021 skipped 2 relations with composite factors
  183. Sat Jan 30 12:18:10 2021 found 9897027 hash collisions in 212905712 relations
  184. Sat Jan 30 12:18:10 2021 commencing duplicate removal, pass 2
  185. Sat Jan 30 12:18:57 2021 found 0 duplicates and 212905712 unique relations
  186. Sat Jan 30 12:18:57 2021 memory use: 522.4 MB
  187. Sat Jan 30 12:18:57 2021 reading ideals above 169934848
  188. Sat Jan 30 12:18:57 2021 commencing singleton removal, initial pass
  189. Sat Jan 30 12:34:02 2021 memory use: 5512.0 MB
  190. Sat Jan 30 12:34:03 2021 reading all ideals from disk
  191. Sat Jan 30 12:34:05 2021 memory use: 3703.2 MB
  192. Sat Jan 30 12:34:12 2021 commencing in-memory singleton removal
  193. Sat Jan 30 12:34:18 2021 begin with 212905712 relations and 164677572 unique ideals
  194. Sat Jan 30 12:35:30 2021 reduce to 154704597 relations and 101689588 ideals in 11 passes
  195. Sat Jan 30 12:35:30 2021 max relations containing the same ideal: 46
  196. Sat Jan 30 12:35:41 2021 reading ideals above 720000
  197. Sat Jan 30 12:35:41 2021 commencing singleton removal, initial pass
  198. Sat Jan 30 12:50:43 2021 memory use: 3012.0 MB
  199. Sat Jan 30 12:50:43 2021 reading all ideals from disk
  200. Sat Jan 30 12:50:47 2021 memory use: 6347.2 MB
  201. Sat Jan 30 12:51:00 2021 keeping 119877870 ideals with weight <= 200, target excess is 811891
  202. Sat Jan 30 12:51:15 2021 commencing in-memory singleton removal
  203. Sat Jan 30 12:51:25 2021 begin with 154704597 relations and 119877870 unique ideals
  204. Sat Jan 30 12:52:21 2021 reduce to 154704111 relations and 119877383 ideals in 5 passes
  205. Sat Jan 30 12:52:21 2021 max relations containing the same ideal: 200
  206. Sat Jan 30 12:53:14 2021 removing 9965962 relations and 7965962 ideals in 2000000 cliques
  207. Sat Jan 30 12:53:17 2021 commencing in-memory singleton removal
  208. Sat Jan 30 12:53:27 2021 begin with 144738149 relations and 119877383 unique ideals
  209. Sat Jan 30 12:54:51 2021 reduce to 144224985 relations and 111389586 ideals in 8 passes
  210. Sat Jan 30 12:54:51 2021 max relations containing the same ideal: 198
  211. Sat Jan 30 12:55:40 2021 removing 7674678 relations and 5674678 ideals in 2000000 cliques
  212. Sat Jan 30 12:55:43 2021 commencing in-memory singleton removal
  213. Sat Jan 30 12:55:52 2021 begin with 136550307 relations and 111389586 unique ideals
  214. Sat Jan 30 12:57:00 2021 reduce to 136208450 relations and 105368023 ideals in 7 passes
  215. Sat Jan 30 12:57:00 2021 max relations containing the same ideal: 193
  216. Sat Jan 30 12:57:48 2021 removing 7006045 relations and 5006045 ideals in 2000000 cliques
  217. Sat Jan 30 12:57:51 2021 commencing in-memory singleton removal
  218. Sat Jan 30 12:58:00 2021 begin with 129202405 relations and 105368023 unique ideals
  219. Sat Jan 30 12:58:55 2021 reduce to 128901417 relations and 100056640 ideals in 6 passes
  220. Sat Jan 30 12:58:55 2021 max relations containing the same ideal: 187
  221. Sat Jan 30 12:59:40 2021 removing 6661979 relations and 4661979 ideals in 2000000 cliques
  222. Sat Jan 30 12:59:43 2021 commencing in-memory singleton removal
  223. Sat Jan 30 12:59:51 2021 begin with 122239438 relations and 100056640 unique ideals
  224. Sat Jan 30 13:00:43 2021 reduce to 121959890 relations and 95110879 ideals in 6 passes
  225. Sat Jan 30 13:00:43 2021 max relations containing the same ideal: 181
  226. Sat Jan 30 13:01:25 2021 removing 6445136 relations and 4445136 ideals in 2000000 cliques
  227. Sat Jan 30 13:01:28 2021 commencing in-memory singleton removal
  228. Sat Jan 30 13:01:35 2021 begin with 115514754 relations and 95110879 unique ideals
  229. Sat Jan 30 13:02:40 2021 reduce to 115246757 relations and 90393673 ideals in 8 passes
  230. Sat Jan 30 13:02:40 2021 max relations containing the same ideal: 177
  231. Sat Jan 30 13:03:21 2021 removing 6301385 relations and 4301385 ideals in 2000000 cliques
  232. Sat Jan 30 13:03:24 2021 commencing in-memory singleton removal
  233. Sat Jan 30 13:03:31 2021 begin with 108945372 relations and 90393673 unique ideals
  234. Sat Jan 30 13:04:17 2021 reduce to 108680312 relations and 85822850 ideals in 6 passes
  235. Sat Jan 30 13:04:17 2021 max relations containing the same ideal: 169
  236. Sat Jan 30 13:04:56 2021 removing 6199003 relations and 4199003 ideals in 2000000 cliques
  237. Sat Jan 30 13:04:59 2021 commencing in-memory singleton removal
  238. Sat Jan 30 13:05:05 2021 begin with 102481309 relations and 85822850 unique ideals
  239. Sat Jan 30 13:05:49 2021 reduce to 102216290 relations and 81354423 ideals in 6 passes
  240. Sat Jan 30 13:05:49 2021 max relations containing the same ideal: 165
  241. Sat Jan 30 13:06:25 2021 removing 6130566 relations and 4130566 ideals in 2000000 cliques
  242. Sat Jan 30 13:06:28 2021 commencing in-memory singleton removal
  243. Sat Jan 30 13:06:34 2021 begin with 96085724 relations and 81354423 unique ideals
  244. Sat Jan 30 13:07:21 2021 reduce to 95813220 relations and 76946432 ideals in 7 passes
  245. Sat Jan 30 13:07:21 2021 max relations containing the same ideal: 156
  246. Sat Jan 30 13:07:55 2021 removing 6079135 relations and 4079135 ideals in 2000000 cliques
  247. Sat Jan 30 13:07:58 2021 commencing in-memory singleton removal
  248. Sat Jan 30 13:08:04 2021 begin with 89734085 relations and 76946432 unique ideals
  249. Sat Jan 30 13:08:47 2021 reduce to 89454082 relations and 72582117 ideals in 7 passes
  250. Sat Jan 30 13:08:47 2021 max relations containing the same ideal: 148
  251. Sat Jan 30 13:09:20 2021 removing 6048979 relations and 4048979 ideals in 2000000 cliques
  252. Sat Jan 30 13:09:22 2021 commencing in-memory singleton removal
  253. Sat Jan 30 13:09:27 2021 begin with 83405103 relations and 72582117 unique ideals
  254. Sat Jan 30 13:10:07 2021 reduce to 83112886 relations and 68235104 ideals in 7 passes
  255. Sat Jan 30 13:10:07 2021 max relations containing the same ideal: 142
  256. Sat Jan 30 13:10:38 2021 removing 6033006 relations and 4033006 ideals in 2000000 cliques
  257. Sat Jan 30 13:10:40 2021 commencing in-memory singleton removal
  258. Sat Jan 30 13:10:45 2021 begin with 77079880 relations and 68235104 unique ideals
  259. Sat Jan 30 13:11:16 2021 reduce to 76769848 relations and 63885569 ideals in 6 passes
  260. Sat Jan 30 13:11:16 2021 max relations containing the same ideal: 136
  261. Sat Jan 30 13:11:45 2021 removing 6033293 relations and 4033293 ideals in 2000000 cliques
  262. Sat Jan 30 13:11:47 2021 commencing in-memory singleton removal
  263. Sat Jan 30 13:11:52 2021 begin with 70736555 relations and 63885569 unique ideals
  264. Sat Jan 30 13:12:21 2021 reduce to 70407823 relations and 59515833 ideals in 6 passes
  265. Sat Jan 30 13:12:21 2021 max relations containing the same ideal: 130
  266. Sat Jan 30 13:12:47 2021 removing 6047131 relations and 4047131 ideals in 2000000 cliques
  267. Sat Jan 30 13:12:49 2021 commencing in-memory singleton removal
  268. Sat Jan 30 13:12:53 2021 begin with 64360692 relations and 59515833 unique ideals
  269. Sat Jan 30 13:13:24 2021 reduce to 64002446 relations and 55101624 ideals in 7 passes
  270. Sat Jan 30 13:13:24 2021 max relations containing the same ideal: 120
  271. Sat Jan 30 13:13:47 2021 removing 6073624 relations and 4073624 ideals in 2000000 cliques
  272. Sat Jan 30 13:13:49 2021 commencing in-memory singleton removal
  273. Sat Jan 30 13:13:53 2021 begin with 57928822 relations and 55101624 unique ideals
  274. Sat Jan 30 13:14:16 2021 reduce to 57535361 relations and 50623843 ideals in 6 passes
  275. Sat Jan 30 13:14:16 2021 max relations containing the same ideal: 113
  276. Sat Jan 30 13:14:38 2021 removing 6108955 relations and 4108955 ideals in 2000000 cliques
  277. Sat Jan 30 13:14:40 2021 commencing in-memory singleton removal
  278. Sat Jan 30 13:14:43 2021 begin with 51426406 relations and 50623843 unique ideals
  279. Sat Jan 30 13:15:07 2021 reduce to 50988982 relations and 46064361 ideals in 7 passes
  280. Sat Jan 30 13:15:07 2021 max relations containing the same ideal: 102
  281. Sat Jan 30 13:15:26 2021 removing 6153622 relations and 4153622 ideals in 2000000 cliques
  282. Sat Jan 30 13:15:28 2021 commencing in-memory singleton removal
  283. Sat Jan 30 13:15:31 2021 begin with 44835360 relations and 46064361 unique ideals
  284. Sat Jan 30 13:15:51 2021 reduce to 44335903 relations and 41394733 ideals in 7 passes
  285. Sat Jan 30 13:15:51 2021 max relations containing the same ideal: 92
  286. Sat Jan 30 13:16:08 2021 removing 6210608 relations and 4211232 ideals in 1999376 cliques
  287. Sat Jan 30 13:16:10 2021 commencing in-memory singleton removal
  288. Sat Jan 30 13:16:12 2021 begin with 38125295 relations and 41394733 unique ideals
  289. Sat Jan 30 13:16:32 2021 reduce to 37532956 relations and 36568504 ideals in 8 passes
  290. Sat Jan 30 13:16:32 2021 max relations containing the same ideal: 82
  291. Sat Jan 30 13:16:46 2021 removing 145068 relations and 122410 ideals in 22658 cliques
  292. Sat Jan 30 13:16:47 2021 commencing in-memory singleton removal
  293. Sat Jan 30 13:16:50 2021 begin with 37387888 relations and 36568504 unique ideals
  294. Sat Jan 30 13:16:59 2021 reduce to 37387569 relations and 36445775 ideals in 4 passes
  295. Sat Jan 30 13:16:59 2021 max relations containing the same ideal: 82
  296. Sat Jan 30 13:17:04 2021 relations with 0 large ideals: 61041
  297. Sat Jan 30 13:17:04 2021 relations with 1 large ideals: 13304
  298. Sat Jan 30 13:17:04 2021 relations with 2 large ideals: 115299
  299. Sat Jan 30 13:17:04 2021 relations with 3 large ideals: 786813
  300. Sat Jan 30 13:17:04 2021 relations with 4 large ideals: 2956843
  301. Sat Jan 30 13:17:04 2021 relations with 5 large ideals: 6676817
  302. Sat Jan 30 13:17:04 2021 relations with 6 large ideals: 9510794
  303. Sat Jan 30 13:17:04 2021 relations with 7+ large ideals: 17266658
  304. Sat Jan 30 13:17:04 2021 commencing 2-way merge
  305. Sat Jan 30 13:17:24 2021 reduce to 25410367 relation sets and 24468573 unique ideals
  306. Sat Jan 30 13:17:24 2021 commencing full merge
  307. Sat Jan 30 13:27:56 2021 memory use: 3525.6 MB
  308. Sat Jan 30 13:28:02 2021 found 11522409 cycles, need 11518773
  309. Sat Jan 30 13:28:02 2021 weight of 11518773 cycles is about 1428584087 (124.02/cycle)
  310. Sat Jan 30 13:28:02 2021 distribution of cycle lengths:
  311. Sat Jan 30 13:28:02 2021 1 relations: 434960
  312. Sat Jan 30 13:28:02 2021 2 relations: 632365
  313. Sat Jan 30 13:28:02 2021 3 relations: 770559
  314. Sat Jan 30 13:28:02 2021 4 relations: 815267
  315. Sat Jan 30 13:28:02 2021 5 relations: 840131
  316. Sat Jan 30 13:28:02 2021 6 relations: 845742
  317. Sat Jan 30 13:28:02 2021 7 relations: 829340
  318. Sat Jan 30 13:28:02 2021 8 relations: 796935
  319. Sat Jan 30 13:28:02 2021 9 relations: 747867
  320. Sat Jan 30 13:28:02 2021 10+ relations: 4805607
  321. Sat Jan 30 13:28:02 2021 heaviest cycle: 28 relations
  322. Sat Jan 30 13:28:07 2021 commencing cycle optimization
  323. Sat Jan 30 13:28:34 2021 start with 106049401 relations
  324. Sat Jan 30 13:33:17 2021 pruned 5527563 relations
  325. Sat Jan 30 13:33:17 2021 memory use: 2650.8 MB
  326. Sat Jan 30 13:33:17 2021 distribution of cycle lengths:
  327. Sat Jan 30 13:33:17 2021 1 relations: 434960
  328. Sat Jan 30 13:33:17 2021 2 relations: 647083
  329. Sat Jan 30 13:33:17 2021 3 relations: 803114
  330. Sat Jan 30 13:33:17 2021 4 relations: 851676
  331. Sat Jan 30 13:33:17 2021 5 relations: 886883
  332. Sat Jan 30 13:33:17 2021 6 relations: 891885
  333. Sat Jan 30 13:33:17 2021 7 relations: 879974
  334. Sat Jan 30 13:33:17 2021 8 relations: 841929
  335. Sat Jan 30 13:33:17 2021 9 relations: 790237
  336. Sat Jan 30 13:33:17 2021 10+ relations: 4491032
  337. Sat Jan 30 13:33:17 2021 heaviest cycle: 28 relations
  338. Sat Jan 30 13:33:44 2021 RelProcTime: 5799
  339. Sat Jan 30 13:33:44 2021
  340. Sat Jan 30 13:33:44 2021 commencing linear algebra
  341. Sat Jan 30 13:33:46 2021 read 11518773 cycles
  342. Sat Jan 30 13:34:11 2021 cycles contain 36927676 unique relations
  343. Sat Jan 30 13:36:38 2021 read 36927676 relations
  344. Sat Jan 30 13:37:55 2021 using 20 quadratic characters above 4294917295
  345. Sat Jan 30 13:39:57 2021 building initial matrix
  346. Sat Jan 30 13:46:31 2021 memory use: 4747.3 MB
  347. Sat Jan 30 13:46:43 2021 read 11518773 cycles
  348. Sat Jan 30 13:46:44 2021 matrix is 11518596 x 11518773 (5545.8 MB) with weight 1570989786 (136.39/col)
  349. Sat Jan 30 13:46:44 2021 sparse part has weight 1327100357 (115.21/col)
  350. Sat Jan 30 13:48:45 2021 filtering completed in 2 passes
  351. Sat Jan 30 13:48:46 2021 matrix is 11518541 x 11518718 (5545.8 MB) with weight 1570988156 (136.39/col)
  352. Sat Jan 30 13:48:46 2021 sparse part has weight 1327099997 (115.21/col)
  353. Sat Jan 30 13:49:26 2021 matrix starts at (0, 0)
  354. Sat Jan 30 13:49:27 2021 matrix is 11518541 x 11518718 (5545.8 MB) with weight 1570988156 (136.39/col)
  355. Sat Jan 30 13:49:27 2021 sparse part has weight 1327099997 (115.21/col)
  356. Sat Jan 30 13:49:27 2021 saving the first 48 matrix rows for later
  357. Sat Jan 30 13:49:28 2021 matrix includes 64 packed rows
  358. Sat Jan 30 13:49:29 2021 matrix is 11518493 x 11518718 (5318.3 MB) with weight 1363643144 (118.38/col)
  359. Sat Jan 30 13:49:29 2021 sparse part has weight 1278974113 (111.03/col)
  360. Sat Jan 30 13:49:29 2021 using block size 8192 and superblock size 1351680 for processor cache size 14080 kB
  361. Sat Jan 30 13:50:30 2021 commencing Lanczos iteration (10 threads)
  362. Sat Jan 30 13:50:30 2021 memory use: 4566.1 MB
  363. Sat Jan 30 13:50:50 2021 linear algebra at 0.0%, ETA 39h57m
  364. Sat Jan 30 13:50:57 2021 checkpointing every 290000 dimensions
  365. Mon Feb 1 09:08:02 2021 lanczos halted after 182152 iterations (dim = 11518491)
  366. Mon Feb 1 09:08:13 2021 recovered 36 nontrivial dependencies
  367. Mon Feb 1 09:08:15 2021 BLanczosTime: 156871
  368. Mon Feb 1 09:08:15 2021
  369. Mon Feb 1 09:08:15 2021 commencing square root phase
  370. Mon Feb 1 09:08:15 2021 handling dependencies 1 to 64
  371. Mon Feb 1 09:08:15 2021 reading relations for dependency 1
  372. Mon Feb 1 09:08:17 2021 read 5757712 cycles
  373. Mon Feb 1 09:08:29 2021 cycles contain 18458914 unique relations
  374. Mon Feb 1 09:09:51 2021 read 18458914 relations
  375. Mon Feb 1 09:11:08 2021 multiplying 18458914 relations
  376. Mon Feb 1 09:20:11 2021 multiply complete, coefficients have about 480.15 million bits
  377. Mon Feb 1 09:20:13 2021 initial square root is modulo 412419367
  378. Mon Feb 1 09:30:03 2021 sqrtTime: 1308
  379. Mon Feb 1 09:30:03 2021 p110 factor: 33282325839230622131117390810912865176923802246998981830448662948858059087195223739086604472329614857070727957
  380. Mon Feb 1 09:30:03 2021 p143 factor: 63554463342932402530808403453648610837594985173595198346978362218423175474733431970653532929098131349510370580569564800178055304570101948899857
  381. Mon Feb 1 09:30:03 2021 elapsed time 45:33:00
  382.  
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