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Msieve log of 7p4_338

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Jun 19th, 2022
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  1. Thu Jun 16 08:43:21 2022
  2. Thu Jun 16 08:43:21 2022
  3. Thu Jun 16 08:43:21 2022 Msieve v. 1.52 (SVN unknown)
  4. Thu Jun 16 08:43:21 2022 random seeds: 30e49ad0 8c2725ad
  5. Thu Jun 16 08:43:21 2022 factoring 40163610219963325261908698168315725543710527205495906950565894692963048457252960264218821247847727257524935332555526378042942452539538527605436322858575428931783709877273726423041462668170033957492670534887776342052666307717 (224 digits)
  6. Thu Jun 16 08:43:23 2022 no P-1/P+1/ECM available, skipping
  7. Thu Jun 16 08:43:23 2022 commencing number field sieve (224-digit input)
  8. Thu Jun 16 08:43:23 2022 R0: 88124787089743477593997388358336765364597217
  9. Thu Jun 16 08:43:23 2022 R1: -42277452950578284263485622772148731904
  10. Thu Jun 16 08:43:23 2022 A0: -1
  11. Thu Jun 16 08:43:23 2022 A1: -3
  12. Thu Jun 16 08:43:23 2022 A2: 6
  13. Thu Jun 16 08:43:23 2022 A3: 4
  14. Thu Jun 16 08:43:23 2022 A4: -5
  15. Thu Jun 16 08:43:23 2022 A5: -1
  16. Thu Jun 16 08:43:23 2022 A6: 1
  17. Thu Jun 16 08:43:23 2022 skew 1.00, size 6.266e-013, alpha 3.126, combined = 7.909e-014 rroots = 6
  18. Thu Jun 16 08:43:23 2022
  19. Thu Jun 16 08:43:23 2022 commencing relation filtering
  20. Thu Jun 16 08:43:23 2022 setting target matrix density to 112.0
  21. Thu Jun 16 08:43:23 2022 estimated available RAM is 130978.7 MB
  22. Thu Jun 16 08:43:23 2022 commencing duplicate removal, pass 1
  23. Thu Jun 16 08:44:08 2022 error -9 reading relation 4504950
  24. Thu Jun 16 08:44:16 2022 error -15 reading relation 5305756
  25. Thu Jun 16 08:44:48 2022 error -9 reading relation 8519508
  26. Thu Jun 16 08:45:20 2022 error -9 reading relation 11735541
  27. Thu Jun 16 09:24:57 2022 error -9 reading relation 250027966
  28. Thu Jun 16 09:25:03 2022 error -1 reading relation 250679842
  29. Thu Jun 16 09:25:13 2022 error -1 reading relation 251724630
  30. Thu Jun 16 09:25:15 2022 skipped 711 relations with b > 2^32
  31. Thu Jun 16 09:25:15 2022 found 56791294 hash collisions in 251875706 relations
  32. Thu Jun 16 09:25:29 2022 added 2438358 free relations
  33. Thu Jun 16 09:25:29 2022 commencing duplicate removal, pass 2
  34. Thu Jun 16 09:27:38 2022 found 61075827 duplicates and 193238237 unique relations
  35. Thu Jun 16 09:27:38 2022 memory use: 1449.5 MB
  36. Thu Jun 16 09:27:38 2022 reading ideals above 720000
  37. Thu Jun 16 09:27:39 2022 commencing singleton removal, initial pass
  38. Thu Jun 16 10:10:11 2022 memory use: 5512.0 MB
  39. Thu Jun 16 10:10:11 2022 reading all ideals from disk
  40. Thu Jun 16 10:10:14 2022 memory use: 8021.9 MB
  41. Thu Jun 16 10:10:56 2022 keeping 179387906 ideals with weight <= 200, target excess is 1023997
  42. Thu Jun 16 10:11:40 2022 commencing in-memory singleton removal
  43. Thu Jun 16 10:12:13 2022 begin with 193238237 relations and 179387906 unique ideals
  44. Thu Jun 16 10:17:50 2022 reduce to 128635981 relations and 108537344 ideals in 16 passes
  45. Thu Jun 16 10:17:50 2022 max relations containing the same ideal: 164
  46. Thu Jun 16 10:19:19 2022 removing 11345617 relations and 9345617 ideals in 2000000 cliques
  47. Thu Jun 16 10:19:23 2022 commencing in-memory singleton removal
  48. Thu Jun 16 10:19:41 2022 begin with 117290364 relations and 108537344 unique ideals
  49. Thu Jun 16 10:22:03 2022 reduce to 116478869 relations and 98363628 ideals in 8 passes
  50. Thu Jun 16 10:22:03 2022 max relations containing the same ideal: 154
  51. Thu Jun 16 10:23:23 2022 removing 8710496 relations and 6710496 ideals in 2000000 cliques
  52. Thu Jun 16 10:23:26 2022 commencing in-memory singleton removal
  53. Thu Jun 16 10:23:43 2022 begin with 107768373 relations and 98363628 unique ideals
  54. Thu Jun 16 10:26:08 2022 reduce to 107225491 relations and 91100544 ideals in 9 passes
  55. Thu Jun 16 10:26:08 2022 max relations containing the same ideal: 145
  56. Thu Jun 16 10:27:26 2022 removing 7916902 relations and 5916902 ideals in 2000000 cliques
  57. Thu Jun 16 10:27:29 2022 commencing in-memory singleton removal
  58. Thu Jun 16 10:27:45 2022 begin with 99308589 relations and 91100544 unique ideals
  59. Thu Jun 16 10:29:32 2022 reduce to 98822481 relations and 84688645 ideals in 7 passes
  60. Thu Jun 16 10:29:32 2022 max relations containing the same ideal: 134
  61. Thu Jun 16 10:30:43 2022 removing 7527101 relations and 5527101 ideals in 2000000 cliques
  62. Thu Jun 16 10:30:45 2022 commencing in-memory singleton removal
  63. Thu Jun 16 10:30:59 2022 begin with 91295380 relations and 84688645 unique ideals
  64. Thu Jun 16 10:32:48 2022 reduce to 90828184 relations and 78685523 ideals in 8 passes
  65. Thu Jun 16 10:32:48 2022 max relations containing the same ideal: 130
  66. Thu Jun 16 10:33:52 2022 removing 7295708 relations and 5295708 ideals in 2000000 cliques
  67. Thu Jun 16 10:33:55 2022 commencing in-memory singleton removal
  68. Thu Jun 16 10:34:07 2022 begin with 83532476 relations and 78685523 unique ideals
  69. Thu Jun 16 10:35:47 2022 reduce to 83067977 relations and 72915858 ideals in 8 passes
  70. Thu Jun 16 10:35:47 2022 max relations containing the same ideal: 123
  71. Thu Jun 16 10:36:46 2022 removing 7146204 relations and 5146204 ideals in 2000000 cliques
  72. Thu Jun 16 10:36:49 2022 commencing in-memory singleton removal
  73. Thu Jun 16 10:37:00 2022 begin with 75921773 relations and 72915858 unique ideals
  74. Thu Jun 16 10:38:17 2022 reduce to 75441062 relations and 67278783 ideals in 7 passes
  75. Thu Jun 16 10:38:17 2022 max relations containing the same ideal: 115
  76. Thu Jun 16 10:39:10 2022 removing 7065239 relations and 5065239 ideals in 2000000 cliques
  77. Thu Jun 16 10:39:12 2022 commencing in-memory singleton removal
  78. Thu Jun 16 10:39:23 2022 begin with 68375823 relations and 67278783 unique ideals
  79. Thu Jun 16 10:40:33 2022 reduce to 67870449 relations and 61696529 ideals in 7 passes
  80. Thu Jun 16 10:40:33 2022 max relations containing the same ideal: 108
  81. Thu Jun 16 10:41:22 2022 removing 7018616 relations and 5018616 ideals in 2000000 cliques
  82. Thu Jun 16 10:41:25 2022 commencing in-memory singleton removal
  83. Thu Jun 16 10:41:34 2022 begin with 60851833 relations and 61696529 unique ideals
  84. Thu Jun 16 10:42:36 2022 reduce to 60302437 relations and 56114506 ideals in 7 passes
  85. Thu Jun 16 10:42:36 2022 max relations containing the same ideal: 100
  86. Thu Jun 16 10:43:22 2022 removing 7006242 relations and 5006242 ideals in 2000000 cliques
  87. Thu Jun 16 10:43:24 2022 commencing in-memory singleton removal
  88. Thu Jun 16 10:43:32 2022 begin with 53296195 relations and 56114506 unique ideals
  89. Thu Jun 16 10:44:33 2022 reduce to 52683573 relations and 50478193 ideals in 8 passes
  90. Thu Jun 16 10:44:33 2022 max relations containing the same ideal: 92
  91. Thu Jun 16 10:45:12 2022 removing 4083501 relations and 3065958 ideals in 1017543 cliques
  92. Thu Jun 16 10:45:13 2022 commencing in-memory singleton removal
  93. Thu Jun 16 10:45:20 2022 begin with 48600072 relations and 50478193 unique ideals
  94. Thu Jun 16 10:46:09 2022 reduce to 48369684 relations and 47177998 ideals in 7 passes
  95. Thu Jun 16 10:46:09 2022 max relations containing the same ideal: 85
  96. Thu Jun 16 10:46:51 2022 relations with 0 large ideals: 77564
  97. Thu Jun 16 10:46:51 2022 relations with 1 large ideals: 17382
  98. Thu Jun 16 10:46:51 2022 relations with 2 large ideals: 168245
  99. Thu Jun 16 10:46:51 2022 relations with 3 large ideals: 1105637
  100. Thu Jun 16 10:46:51 2022 relations with 4 large ideals: 4033793
  101. Thu Jun 16 10:46:51 2022 relations with 5 large ideals: 8873406
  102. Thu Jun 16 10:46:51 2022 relations with 6 large ideals: 12368595
  103. Thu Jun 16 10:46:51 2022 relations with 7+ large ideals: 21725062
  104. Thu Jun 16 10:46:51 2022 commencing 2-way merge
  105. Thu Jun 16 10:47:39 2022 reduce to 32365008 relation sets and 31173322 unique ideals
  106. Thu Jun 16 10:47:39 2022 commencing full merge
  107. Thu Jun 16 11:05:59 2022 memory use: 4353.2 MB
  108. Thu Jun 16 11:06:06 2022 found 15064050 cycles, need 14973522
  109. Thu Jun 16 11:06:07 2022 weight of 14973522 cycles is about 1677084742 (112.00/cycle)
  110. Thu Jun 16 11:06:07 2022 distribution of cycle lengths:
  111. Thu Jun 16 11:06:07 2022 1 relations: 849912
  112. Thu Jun 16 11:06:07 2022 2 relations: 1053973
  113. Thu Jun 16 11:06:07 2022 3 relations: 1175501
  114. Thu Jun 16 11:06:07 2022 4 relations: 1179802
  115. Thu Jun 16 11:06:07 2022 5 relations: 1166090
  116. Thu Jun 16 11:06:07 2022 6 relations: 1131206
  117. Thu Jun 16 11:06:07 2022 7 relations: 1081364
  118. Thu Jun 16 11:06:07 2022 8 relations: 1014810
  119. Thu Jun 16 11:06:07 2022 9 relations: 940976
  120. Thu Jun 16 11:06:07 2022 10+ relations: 5379888
  121. Thu Jun 16 11:06:07 2022 heaviest cycle: 28 relations
  122. Thu Jun 16 11:06:28 2022 commencing cycle optimization
  123. Thu Jun 16 11:06:58 2022 start with 123707352 relations
  124. Thu Jun 16 11:13:29 2022 pruned 5442401 relations
  125. Thu Jun 16 11:13:29 2022 memory use: 3282.6 MB
  126. Thu Jun 16 11:13:29 2022 distribution of cycle lengths:
  127. Thu Jun 16 11:13:29 2022 1 relations: 849912
  128. Thu Jun 16 11:13:29 2022 2 relations: 1077005
  129. Thu Jun 16 11:13:29 2022 3 relations: 1222743
  130. Thu Jun 16 11:13:29 2022 4 relations: 1226837
  131. Thu Jun 16 11:13:29 2022 5 relations: 1222779
  132. Thu Jun 16 11:13:29 2022 6 relations: 1182710
  133. Thu Jun 16 11:13:29 2022 7 relations: 1133271
  134. Thu Jun 16 11:13:29 2022 8 relations: 1058523
  135. Thu Jun 16 11:13:29 2022 9 relations: 979764
  136. Thu Jun 16 11:13:29 2022 10+ relations: 5019978
  137. Thu Jun 16 11:13:29 2022 heaviest cycle: 28 relations
  138. Thu Jun 16 11:14:01 2022 RelProcTime: 9038
  139. Thu Jun 16 11:14:01 2022
  140. Thu Jun 16 11:14:01 2022 commencing linear algebra
  141. Thu Jun 16 11:14:05 2022 read 14973522 cycles
  142. Thu Jun 16 11:14:41 2022 cycles contain 47713124 unique relations
  143. Thu Jun 16 11:23:32 2022 read 47713124 relations
  144. Thu Jun 16 11:25:15 2022 using 20 quadratic characters above 2147483054
  145. Thu Jun 16 11:29:05 2022 building initial matrix
  146. Thu Jun 16 11:39:38 2022 memory use: 5993.2 MB
  147. Thu Jun 16 11:40:00 2022 read 14973522 cycles
  148. Thu Jun 16 11:40:04 2022 matrix is 14973344 x 14973522 (6584.3 MB) with weight 1861613863 (124.33/col)
  149. Thu Jun 16 11:40:04 2022 sparse part has weight 1576295963 (105.27/col)
  150. Thu Jun 16 11:45:07 2022 filtering completed in 2 passes
  151. Thu Jun 16 11:45:11 2022 matrix is 14972755 x 14972932 (6584.2 MB) with weight 1861594278 (124.33/col)
  152. Thu Jun 16 11:45:11 2022 sparse part has weight 1576287975 (105.28/col)
  153. Thu Jun 16 11:46:17 2022 matrix starts at (0, 0)
  154. Thu Jun 16 11:46:21 2022 matrix is 14972755 x 14972932 (6584.2 MB) with weight 1861594278 (124.33/col)
  155. Thu Jun 16 11:46:21 2022 sparse part has weight 1576287975 (105.28/col)
  156. Thu Jun 16 11:46:21 2022 saving the first 48 matrix rows for later
  157. Thu Jun 16 11:46:26 2022 matrix includes 64 packed rows
  158. Thu Jun 16 11:46:29 2022 matrix is 14972707 x 14972932 (6338.8 MB) with weight 1603933777 (107.12/col)
  159. Thu Jun 16 11:46:29 2022 sparse part has weight 1511954127 (100.98/col)
  160. Thu Jun 16 11:46:29 2022 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  161. Thu Jun 16 11:48:05 2022 commencing Lanczos iteration (24 threads)
  162. Thu Jun 16 11:48:05 2022 memory use: 5452.0 MB
  163. Thu Jun 16 11:48:36 2022 linear algebra at 0.0%, ETA 79h26m
  164. Thu Jun 16 11:48:46 2022 checkpointing every 190000 dimensions
  165. Sun Jun 19 15:28:15 2022 lanczos halted after 236781 iterations (dim = 14972706)
  166. Sun Jun 19 15:28:36 2022 recovered 35 nontrivial dependencies
  167. Sun Jun 19 15:28:47 2022 BLanczosTime: 274486
  168. Sun Jun 19 15:28:47 2022
  169. Sun Jun 19 15:28:47 2022 commencing square root phase
  170. Sun Jun 19 15:28:47 2022 handling dependencies 1 to 64
  171. Sun Jun 19 15:28:47 2022 reading relations for dependency 1
  172. Sun Jun 19 15:28:53 2022 read 7487530 cycles
  173. Sun Jun 19 15:29:14 2022 cycles contain 23858814 unique relations
  174. Sun Jun 19 15:34:46 2022 read 23858814 relations
  175. Sun Jun 19 15:38:01 2022 multiplying 23858814 relations
  176. Sun Jun 19 16:03:22 2022 multiply complete, coefficients have about 622.95 million bits
  177. Sun Jun 19 16:03:32 2022 initial square root is modulo 388009
  178. Sun Jun 19 16:32:29 2022 Newton iteration failed to converge
  179. Sun Jun 19 16:32:29 2022 algebraic square root failed
  180. Sun Jun 19 16:32:29 2022 reading relations for dependency 2
  181. Sun Jun 19 16:32:36 2022 read 7486850 cycles
  182. Sun Jun 19 16:32:57 2022 cycles contain 23853610 unique relations
  183. Sun Jun 19 16:39:00 2022 read 23853610 relations
  184. Sun Jun 19 16:41:27 2022 multiplying 23853610 relations
  185. Sun Jun 19 17:06:04 2022 multiply complete, coefficients have about 622.81 million bits
  186. Sun Jun 19 17:06:13 2022 initial square root is modulo 386921
  187. Sun Jun 19 17:35:14 2022 found factor: 113698515165499641350336327793086938235821320547093995024223014221583650440357076319694897015161193
  188. Sun Jun 19 17:35:14 2022 reading relations for dependency 3
  189. Sun Jun 19 17:35:18 2022 read 7488759 cycles
  190. Sun Jun 19 17:35:35 2022 cycles contain 23865272 unique relations
  191. Sun Jun 19 17:40:26 2022 read 23865272 relations
  192. Sun Jun 19 17:43:01 2022 multiplying 23865272 relations
  193. Sun Jun 19 18:09:43 2022 multiply complete, coefficients have about 623.11 million bits
  194. Sun Jun 19 18:09:52 2022 initial square root is modulo 389357
  195. Sun Jun 19 18:40:05 2022 Newton iteration failed to converge
  196. Sun Jun 19 18:40:05 2022 algebraic square root failed
  197. Sun Jun 19 18:40:05 2022 reading relations for dependency 4
  198. Sun Jun 19 18:40:08 2022 read 7488669 cycles
  199. Sun Jun 19 18:40:25 2022 cycles contain 23863118 unique relations
  200. Sun Jun 19 18:45:44 2022 read 23863118 relations
  201. Sun Jun 19 18:48:38 2022 multiplying 23863118 relations
  202. Sun Jun 19 19:14:03 2022 multiply complete, coefficients have about 623.07 million bits
  203. Sun Jun 19 19:14:13 2022 initial square root is modulo 389023
  204. Sun Jun 19 19:40:32 2022 sqrtTime: 15105
  205. Sun Jun 19 19:40:32 2022 prp58 factor: 3257692639540513774976804174583784882036362654882898879561
  206. Sun Jun 19 19:40:32 2022 prp69 factor: 108434590569397715268251596421252099121636176190588677930418757884629
  207. Sun Jun 19 19:40:32 2022 prp99 factor: 113698515165499641350336327793086938235821320547093995024223014221583650440357076319694897015161193
  208. Sun Jun 19 19:40:32 2022 elapsed time 82:57:11
  209.  
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