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gchilders

5m3_373

Feb 17th, 2022
227
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  1. Wed Feb 16 19:25:27 2022
  2. Wed Feb 16 19:25:27 2022
  3. Wed Feb 16 19:25:27 2022 Msieve v. 1.54 (SVN unknown)
  4. Wed Feb 16 19:25:27 2022 random seeds: 38956330 be75d5f4
  5. Wed Feb 16 19:25:27 2022 factoring 290961223000327543188716395914664424841608981460453242172266422476223239580433550710580773083145966176985838567091775586459271620326333725303401904563174497987824429616505954406660516262403257518036900285455779351582992036483 (225 digits)
  6. Wed Feb 16 19:25:27 2022 no P-1/P+1/ECM available, skipping
  7. Wed Feb 16 19:25:27 2022 commencing number field sieve (225-digit input)
  8. Wed Feb 16 19:25:27 2022 R0: 21684043449710088680149056017398834228515625
  9. Wed Feb 16 19:25:27 2022 R1: -381520424476945831628649898809
  10. Wed Feb 16 19:25:27 2022 A0: -3
  11. Wed Feb 16 19:25:27 2022 A1: 0
  12. Wed Feb 16 19:25:27 2022 A2: 0
  13. Wed Feb 16 19:25:27 2022 A3: 0
  14. Wed Feb 16 19:25:27 2022 A4: 0
  15. Wed Feb 16 19:25:27 2022 A5: 0
  16. Wed Feb 16 19:25:27 2022 A6: 5
  17. Wed Feb 16 19:25:27 2022 skew 0.92, size 8.156e-13, alpha 1.421, combined = 9.853e-14 rroots = 2
  18. Wed Feb 16 19:25:27 2022
  19. Wed Feb 16 19:25:27 2022 commencing relation filtering
  20. Wed Feb 16 19:25:27 2022 setting target matrix density to 110.0
  21. Wed Feb 16 19:25:27 2022 estimated available RAM is 515600.8 MB
  22. Wed Feb 16 19:25:27 2022 commencing duplicate removal, pass 1
  23. Wed Feb 16 19:41:26 2022 skipped 738 relations with b > 2^32
  24. Wed Feb 16 19:41:26 2022 skipped 53 relations with composite factors
  25. Wed Feb 16 19:41:26 2022 found 8862323 hash collisions in 201135493 relations
  26. Wed Feb 16 19:41:35 2022 added 1218728 free relations
  27. Wed Feb 16 19:41:35 2022 commencing duplicate removal, pass 2
  28. Wed Feb 16 19:42:11 2022 found 0 duplicates and 202354221 unique relations
  29. Wed Feb 16 19:42:11 2022 memory use: 522.4 MB
  30. Wed Feb 16 19:42:11 2022 reading ideals above 720000
  31. Wed Feb 16 19:42:11 2022 commencing singleton removal, initial pass
  32. Wed Feb 16 19:58:55 2022 memory use: 5512.0 MB
  33. Wed Feb 16 19:58:55 2022 reading all ideals from disk
  34. Wed Feb 16 19:58:56 2022 memory use: 8361.6 MB
  35. Wed Feb 16 19:59:04 2022 keeping 182528077 ideals with weight <= 200, target excess is 1055370
  36. Wed Feb 16 19:59:15 2022 commencing in-memory singleton removal
  37. Wed Feb 16 19:59:21 2022 begin with 202354221 relations and 182528077 unique ideals
  38. Wed Feb 16 20:00:33 2022 reduce to 142557036 relations and 117555127 ideals in 14 passes
  39. Wed Feb 16 20:00:33 2022 max relations containing the same ideal: 166
  40. Wed Feb 16 20:01:04 2022 removing 10827438 relations and 8827438 ideals in 2000000 cliques
  41. Wed Feb 16 20:01:07 2022 commencing in-memory singleton removal
  42. Wed Feb 16 20:01:11 2022 begin with 131729598 relations and 117555127 unique ideals
  43. Wed Feb 16 20:01:47 2022 reduce to 131047044 relations and 108032740 ideals in 8 passes
  44. Wed Feb 16 20:01:47 2022 max relations containing the same ideal: 159
  45. Wed Feb 16 20:02:16 2022 removing 8358811 relations and 6358811 ideals in 2000000 cliques
  46. Wed Feb 16 20:02:19 2022 commencing in-memory singleton removal
  47. Wed Feb 16 20:02:22 2022 begin with 122688233 relations and 108032740 unique ideals
  48. Wed Feb 16 20:02:51 2022 reduce to 122228783 relations and 101207179 ideals in 7 passes
  49. Wed Feb 16 20:02:51 2022 max relations containing the same ideal: 152
  50. Wed Feb 16 20:03:18 2022 removing 7620042 relations and 5620042 ideals in 2000000 cliques
  51. Wed Feb 16 20:03:21 2022 commencing in-memory singleton removal
  52. Wed Feb 16 20:03:24 2022 begin with 114608741 relations and 101207179 unique ideals
  53. Wed Feb 16 20:03:51 2022 reduce to 114198975 relations and 95170930 ideals in 7 passes
  54. Wed Feb 16 20:03:51 2022 max relations containing the same ideal: 146
  55. Wed Feb 16 20:04:16 2022 removing 7262972 relations and 5262972 ideals in 2000000 cliques
  56. Wed Feb 16 20:04:19 2022 commencing in-memory singleton removal
  57. Wed Feb 16 20:04:22 2022 begin with 106936003 relations and 95170930 unique ideals
  58. Wed Feb 16 20:04:47 2022 reduce to 106544920 relations and 89510568 ideals in 7 passes
  59. Wed Feb 16 20:04:47 2022 max relations containing the same ideal: 140
  60. Wed Feb 16 20:05:11 2022 removing 7053215 relations and 5053215 ideals in 2000000 cliques
  61. Wed Feb 16 20:05:13 2022 commencing in-memory singleton removal
  62. Wed Feb 16 20:05:16 2022 begin with 99491705 relations and 89510568 unique ideals
  63. Wed Feb 16 20:05:39 2022 reduce to 99104474 relations and 84063433 ideals in 7 passes
  64. Wed Feb 16 20:05:39 2022 max relations containing the same ideal: 132
  65. Wed Feb 16 20:06:02 2022 removing 6922290 relations and 4922290 ideals in 2000000 cliques
  66. Wed Feb 16 20:06:04 2022 commencing in-memory singleton removal
  67. Wed Feb 16 20:06:07 2022 begin with 92182184 relations and 84063433 unique ideals
  68. Wed Feb 16 20:06:28 2022 reduce to 91788075 relations and 78739862 ideals in 7 passes
  69. Wed Feb 16 20:06:28 2022 max relations containing the same ideal: 125
  70. Wed Feb 16 20:06:50 2022 removing 6842474 relations and 4842474 ideals in 2000000 cliques
  71. Wed Feb 16 20:06:52 2022 commencing in-memory singleton removal
  72. Wed Feb 16 20:06:54 2022 begin with 84945601 relations and 78739862 unique ideals
  73. Wed Feb 16 20:07:14 2022 reduce to 84535641 relations and 73479620 ideals in 7 passes
  74. Wed Feb 16 20:07:14 2022 max relations containing the same ideal: 119
  75. Wed Feb 16 20:07:33 2022 removing 6812160 relations and 4812160 ideals in 2000000 cliques
  76. Wed Feb 16 20:07:36 2022 commencing in-memory singleton removal
  77. Wed Feb 16 20:07:38 2022 begin with 77723481 relations and 73479620 unique ideals
  78. Wed Feb 16 20:07:56 2022 reduce to 77290346 relations and 68225381 ideals in 7 passes
  79. Wed Feb 16 20:07:56 2022 max relations containing the same ideal: 113
  80. Wed Feb 16 20:08:14 2022 removing 6806484 relations and 4806484 ideals in 2000000 cliques
  81. Wed Feb 16 20:08:16 2022 commencing in-memory singleton removal
  82. Wed Feb 16 20:08:18 2022 begin with 70483862 relations and 68225381 unique ideals
  83. Wed Feb 16 20:08:36 2022 reduce to 70014401 relations and 62938860 ideals in 8 passes
  84. Wed Feb 16 20:08:36 2022 max relations containing the same ideal: 105
  85. Wed Feb 16 20:08:53 2022 removing 6832830 relations and 4832830 ideals in 2000000 cliques
  86. Wed Feb 16 20:08:55 2022 commencing in-memory singleton removal
  87. Wed Feb 16 20:08:57 2022 begin with 63181571 relations and 62938860 unique ideals
  88. Wed Feb 16 20:09:11 2022 reduce to 62663447 relations and 57575235 ideals in 7 passes
  89. Wed Feb 16 20:09:11 2022 max relations containing the same ideal: 97
  90. Wed Feb 16 20:09:27 2022 removing 6895126 relations and 4895126 ideals in 2000000 cliques
  91. Wed Feb 16 20:09:28 2022 commencing in-memory singleton removal
  92. Wed Feb 16 20:09:30 2022 begin with 55768321 relations and 57575235 unique ideals
  93. Wed Feb 16 20:09:44 2022 reduce to 55178376 relations and 52074218 ideals in 8 passes
  94. Wed Feb 16 20:09:44 2022 max relations containing the same ideal: 90
  95. Wed Feb 16 20:09:58 2022 removing 6641244 relations and 4761316 ideals in 1879928 cliques
  96. Wed Feb 16 20:10:00 2022 commencing in-memory singleton removal
  97. Wed Feb 16 20:10:01 2022 begin with 48537132 relations and 52074218 unique ideals
  98. Wed Feb 16 20:10:14 2022 reduce to 47914061 relations and 46671571 ideals in 8 passes
  99. Wed Feb 16 20:10:14 2022 max relations containing the same ideal: 84
  100. Wed Feb 16 20:10:26 2022 removing 139626 relations and 121366 ideals in 18260 cliques
  101. Wed Feb 16 20:10:27 2022 commencing in-memory singleton removal
  102. Wed Feb 16 20:10:28 2022 begin with 47774435 relations and 46671571 unique ideals
  103. Wed Feb 16 20:10:34 2022 reduce to 47774121 relations and 46549891 ideals in 4 passes
  104. Wed Feb 16 20:10:34 2022 max relations containing the same ideal: 84
  105. Wed Feb 16 20:10:40 2022 relations with 0 large ideals: 39820
  106. Wed Feb 16 20:10:40 2022 relations with 1 large ideals: 13749
  107. Wed Feb 16 20:10:40 2022 relations with 2 large ideals: 189495
  108. Wed Feb 16 20:10:40 2022 relations with 3 large ideals: 1232859
  109. Wed Feb 16 20:10:40 2022 relations with 4 large ideals: 4376570
  110. Wed Feb 16 20:10:40 2022 relations with 5 large ideals: 9374954
  111. Wed Feb 16 20:10:40 2022 relations with 6 large ideals: 12614436
  112. Wed Feb 16 20:10:40 2022 relations with 7+ large ideals: 19932238
  113. Wed Feb 16 20:10:40 2022 commencing 2-way merge
  114. Wed Feb 16 20:10:57 2022 reduce to 31511911 relation sets and 30287681 unique ideals
  115. Wed Feb 16 20:10:57 2022 commencing full merge
  116. Wed Feb 16 20:18:30 2022 memory use: 4015.0 MB
  117. Wed Feb 16 20:18:32 2022 found 14635332 cycles, need 14525881
  118. Wed Feb 16 20:18:35 2022 weight of 14525881 cycles is about 1598090604 (110.02/cycle)
  119. Wed Feb 16 20:18:35 2022 distribution of cycle lengths:
  120. Wed Feb 16 20:18:35 2022 1 relations: 923579
  121. Wed Feb 16 20:18:35 2022 2 relations: 1096811
  122. Wed Feb 16 20:18:35 2022 3 relations: 1182041
  123. Wed Feb 16 20:18:35 2022 4 relations: 1170532
  124. Wed Feb 16 20:18:35 2022 5 relations: 1161841
  125. Wed Feb 16 20:18:35 2022 6 relations: 1127962
  126. Wed Feb 16 20:18:35 2022 7 relations: 1073670
  127. Wed Feb 16 20:18:35 2022 8 relations: 1007511
  128. Wed Feb 16 20:18:35 2022 9 relations: 921046
  129. Wed Feb 16 20:18:35 2022 10+ relations: 4860888
  130. Wed Feb 16 20:18:35 2022 heaviest cycle: 28 relations
  131. Wed Feb 16 20:18:38 2022 commencing cycle optimization
  132. Wed Feb 16 20:18:56 2022 start with 115051843 relations
  133. Wed Feb 16 20:21:23 2022 pruned 4989548 relations
  134. Wed Feb 16 20:21:24 2022 memory use: 3155.2 MB
  135. Wed Feb 16 20:21:24 2022 distribution of cycle lengths:
  136. Wed Feb 16 20:21:24 2022 1 relations: 923579
  137. Wed Feb 16 20:21:24 2022 2 relations: 1123505
  138. Wed Feb 16 20:21:24 2022 3 relations: 1232252
  139. Wed Feb 16 20:21:24 2022 4 relations: 1219185
  140. Wed Feb 16 20:21:24 2022 5 relations: 1218554
  141. Wed Feb 16 20:21:24 2022 6 relations: 1178834
  142. Wed Feb 16 20:21:24 2022 7 relations: 1124465
  143. Wed Feb 16 20:21:24 2022 8 relations: 1049018
  144. Wed Feb 16 20:21:24 2022 9 relations: 955401
  145. Wed Feb 16 20:21:24 2022 10+ relations: 4501088
  146. Wed Feb 16 20:21:24 2022 heaviest cycle: 28 relations
  147. Wed Feb 16 20:21:38 2022 RelProcTime: 3371
  148. Wed Feb 16 20:21:38 2022
  149. Wed Feb 16 20:21:38 2022 commencing linear algebra
  150. Wed Feb 16 20:21:38 2022 using VBITS=384
  151. Wed Feb 16 20:21:39 2022 read 14525881 cycles
  152. Wed Feb 16 20:21:57 2022 cycles contain 47077383 unique relations
  153. Wed Feb 16 20:24:29 2022 read 47077383 relations
  154. Wed Feb 16 20:25:27 2022 using 20 quadratic characters above 4294917295
  155. Wed Feb 16 20:27:38 2022 building initial matrix
  156. Wed Feb 16 20:33:42 2022 memory use: 6098.8 MB
  157. Wed Feb 16 20:33:45 2022 read 14525881 cycles
  158. Wed Feb 16 20:33:47 2022 matrix is 14525703 x 14525881 (6326.2 MB) with weight 1823566654 (125.54/col)
  159. Wed Feb 16 20:33:47 2022 sparse part has weight 1498602267 (103.17/col)
  160. Wed Feb 16 20:35:16 2022 filtering completed in 2 passes
  161. Wed Feb 16 20:35:18 2022 matrix is 14524734 x 14524903 (6326.2 MB) with weight 1823532388 (125.55/col)
  162. Wed Feb 16 20:35:18 2022 sparse part has weight 1498589863 (103.17/col)
  163. Wed Feb 16 20:35:40 2022 matrix starts at (0, 0)
  164. Wed Feb 16 20:35:41 2022 matrix is 14524734 x 14524903 (6326.2 MB) with weight 1823532388 (125.55/col)
  165. Wed Feb 16 20:35:41 2022 sparse part has weight 1498589863 (103.17/col)
  166. Wed Feb 16 20:35:41 2022 saving the first 368 matrix rows for later
  167. Wed Feb 16 20:35:43 2022 matrix includes 384 packed rows
  168. Wed Feb 16 20:35:49 2022 matrix is 14524366 x 14524903 (5932.8 MB) with weight 1331128097 (91.64/col)
  169. Wed Feb 16 20:35:49 2022 sparse part has weight 1264757789 (87.08/col)
  170. Wed Feb 16 20:35:49 2022 using GPU 1 (Tesla V100-PCIE-32GB)
  171. Wed Feb 16 20:35:49 2022 selected card has CUDA arch 7.0
  172. Wed Feb 16 20:36:39 2022 commencing Lanczos iteration
  173. Wed Feb 16 20:36:40 2022 memory use: 15079.3 MB
  174. Wed Feb 16 20:36:46 2022 linear algebra at 0.0%, ETA 8h45m
  175. Wed Feb 16 20:36:49 2022 checkpointing every 1900000 dimensions
  176. Thu Feb 17 04:28:45 2022 lanczos halted after 37900 iterations (dim = 14524362)
  177. Thu Feb 17 04:30:22 2022 recovered 34 nontrivial dependencies
  178. Thu Feb 17 04:30:22 2022 BLanczosTime: 29324
  179. Thu Feb 17 04:30:22 2022
  180. Thu Feb 17 04:30:22 2022 commencing square root phase
  181. Thu Feb 17 04:30:22 2022 handling dependencies 1 to 64
  182. Thu Feb 17 04:30:22 2022 reading relations for dependency 1
  183. Thu Feb 17 04:30:23 2022 read 7263185 cycles
  184. Thu Feb 17 04:30:33 2022 cycles contain 23541504 unique relations
  185. Thu Feb 17 04:31:59 2022 read 23541504 relations
  186. Thu Feb 17 04:33:11 2022 multiplying 23541504 relations
  187. Thu Feb 17 04:45:49 2022 multiply complete, coefficients have about 665.01 million bits
  188. Thu Feb 17 04:45:51 2022 initial square root is modulo 925033
  189. Thu Feb 17 04:58:54 2022 GCD is N, no factor found
  190. Thu Feb 17 04:58:54 2022 reading relations for dependency 2
  191. Thu Feb 17 04:58:55 2022 read 7260421 cycles
  192. Thu Feb 17 04:59:05 2022 cycles contain 23532072 unique relations
  193. Thu Feb 17 05:00:32 2022 read 23532072 relations
  194. Thu Feb 17 05:01:43 2022 multiplying 23532072 relations
  195. Thu Feb 17 05:14:17 2022 multiply complete, coefficients have about 664.73 million bits
  196. Thu Feb 17 05:14:18 2022 initial square root is modulo 919939
  197. Thu Feb 17 05:27:09 2022 sqrtTime: 3407
  198. Thu Feb 17 05:27:09 2022 p81 factor: 414909386583412739386811114757555978544647405137565914645983226582546177128195987
  199. Thu Feb 17 05:27:09 2022 p144 factor: 701264498728888483015847332794765699418656805935212791450560647107442212638707157840780504490701500767264508675019345430842146377148572944809809
  200. Thu Feb 17 05:27:09 2022 elapsed time 10:01:42
  201.  
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