Thu Jan 23 06:53:50 2020 Msieve v. 1.54 (SVN 1028) Thu Jan 23 06:53:50 2020 random seeds: 04c825ef a55908fe Thu Jan 23 06:53:50 2020 factoring 1965019802697060542275450444802183027080005878031066941684484661827646380403642517782424400325651752940332681599691997754129394072404762629108619472221001579824980918516720494843789151045572326793462450538230301 (211 digits) Thu Jan 23 06:53:51 2020 no P-1/P+1/ECM available, skipping Thu Jan 23 06:53:51 2020 commencing number field sieve (211-digit input) Thu Jan 23 06:53:51 2020 R0: 2923602405716568564338475449381171413803636207598822186175234 Thu Jan 23 06:53:51 2020 R1: -1 Thu Jan 23 06:53:51 2020 A0: 1 Thu Jan 23 06:53:51 2020 A1: -10 Thu Jan 23 06:53:51 2020 A2: -10 Thu Jan 23 06:53:51 2020 A3: 25 Thu Jan 23 06:53:51 2020 A4: 25 Thu Jan 23 06:53:51 2020 skew 0.45, size 7.490e-25, alpha 2.175, combined = 8.295e-15 rroots = 4 Thu Jan 23 06:53:51 2020 Thu Jan 23 06:53:51 2020 commencing relation filtering Thu Jan 23 06:53:51 2020 setting target matrix density to 90.0 Thu Jan 23 06:53:51 2020 estimated available RAM is 128858.2 MB Thu Jan 23 06:53:51 2020 commencing duplicate removal, pass 1 Thu Jan 23 06:54:33 2020 Thu Jan 23 06:54:33 2020 Thu Jan 23 06:54:33 2020 Msieve v. 1.54 (SVN 1028) Thu Jan 23 06:54:33 2020 random seeds: f04f299f 2900f49f Thu Jan 23 06:54:33 2020 factoring 1965019802697060542275450444802183027080005878031066941684484661827646380403642517782424400325651752940332681599691997754129394072404762629108619472221001579824980918516720494843789151045572326793462450538230301 (211 digits) Thu Jan 23 06:54:34 2020 no P-1/P+1/ECM available, skipping Thu Jan 23 06:54:34 2020 commencing number field sieve (211-digit input) Thu Jan 23 06:54:34 2020 R0: 2923602405716568564338475449381171413803636207598822186175234 Thu Jan 23 06:54:34 2020 R1: -1 Thu Jan 23 06:54:34 2020 A0: 1 Thu Jan 23 06:54:34 2020 A1: -10 Thu Jan 23 06:54:34 2020 A2: -10 Thu Jan 23 06:54:34 2020 A3: 25 Thu Jan 23 06:54:34 2020 A4: 25 Thu Jan 23 06:54:34 2020 skew 0.45, size 7.490e-25, alpha 2.175, combined = 8.295e-15 rroots = 4 Thu Jan 23 06:54:34 2020 Thu Jan 23 06:54:34 2020 commencing relation filtering Thu Jan 23 06:54:34 2020 setting target matrix density to 90.0 Thu Jan 23 06:54:34 2020 estimated available RAM is 128858.2 MB Thu Jan 23 06:54:34 2020 commencing duplicate removal, pass 1 Thu Jan 23 06:57:01 2020 error -15 reading relation 19549284 ..... Thu Jan 23 07:14:38 2020 error -5 reading relation 159894750 Thu Jan 23 07:20:49 2020 skipped 34018 relations with b > 2^32 Thu Jan 23 07:20:49 2020 skipped 5 relations with composite factors Thu Jan 23 07:20:49 2020 found 9556194 hash collisions in 209214404 relations Thu Jan 23 07:20:49 2020 commencing duplicate removal, pass 2 Thu Jan 23 07:21:39 2020 found 0 duplicates and 209214404 unique relations Thu Jan 23 07:21:39 2020 memory use: 522.4 MB Thu Jan 23 07:21:39 2020 reading ideals above 720000 Thu Jan 23 07:21:39 2020 commencing singleton removal, initial pass Thu Jan 23 07:47:05 2020 memory use: 6024.0 MB Thu Jan 23 07:47:05 2020 reading all ideals from disk Thu Jan 23 07:47:10 2020 memory use: 8856.2 MB Thu Jan 23 07:47:37 2020 keeping 213659473 ideals with weight <= 200, target excess is 1107482 Thu Jan 23 07:48:08 2020 commencing in-memory singleton removal Thu Jan 23 07:48:29 2020 begin with 209214404 relations and 213659473 unique ideals Thu Jan 23 07:52:39 2020 reduce to 121201018 relations and 115618436 ideals in 18 passes Thu Jan 23 07:52:39 2020 max relations containing the same ideal: 145 Thu Jan 23 07:53:44 2020 removing 8745947 relations and 7745947 ideals in 1000000 cliques Thu Jan 23 07:53:47 2020 commencing in-memory singleton removal Thu Jan 23 07:53:58 2020 begin with 112455071 relations and 115618436 unique ideals Thu Jan 23 07:55:42 2020 reduce to 111919055 relations and 107330062 ideals in 9 passes Thu Jan 23 07:55:42 2020 max relations containing the same ideal: 140 Thu Jan 23 07:56:40 2020 removing 6515466 relations and 5515466 ideals in 1000000 cliques Thu Jan 23 07:56:42 2020 commencing in-memory singleton removal Thu Jan 23 07:56:53 2020 begin with 105403589 relations and 107330062 unique ideals Thu Jan 23 07:58:20 2020 reduce to 105077778 relations and 101485587 ideals in 8 passes Thu Jan 23 07:58:20 2020 max relations containing the same ideal: 135 Thu Jan 23 07:59:14 2020 removing 5810175 relations and 4810175 ideals in 1000000 cliques Thu Jan 23 07:59:16 2020 commencing in-memory singleton removal Thu Jan 23 07:59:26 2020 begin with 99267603 relations and 101485587 unique ideals Thu Jan 23 08:00:48 2020 reduce to 98992128 relations and 96397130 ideals in 8 passes Thu Jan 23 08:00:48 2020 max relations containing the same ideal: 127 Thu Jan 23 08:01:40 2020 removing 5434115 relations and 4434115 ideals in 1000000 cliques Thu Jan 23 08:01:42 2020 commencing in-memory singleton removal Thu Jan 23 08:01:52 2020 begin with 93558013 relations and 96397130 unique ideals Thu Jan 23 08:02:58 2020 reduce to 93303013 relations and 91705620 ideals in 7 passes Thu Jan 23 08:02:58 2020 max relations containing the same ideal: 122 Thu Jan 23 08:03:46 2020 removing 1989499 relations and 1676786 ideals in 312713 cliques Thu Jan 23 08:03:48 2020 commencing in-memory singleton removal Thu Jan 23 08:03:57 2020 begin with 91313514 relations and 91705620 unique ideals Thu Jan 23 08:05:01 2020 reduce to 91280265 relations and 89995478 ideals in 7 passes Thu Jan 23 08:05:01 2020 max relations containing the same ideal: 119 Thu Jan 23 08:06:00 2020 relations with 0 large ideals: 96823 Thu Jan 23 08:06:00 2020 relations with 1 large ideals: 11785 Thu Jan 23 08:06:00 2020 relations with 2 large ideals: 129017 Thu Jan 23 08:06:00 2020 relations with 3 large ideals: 1000837 Thu Jan 23 08:06:00 2020 relations with 4 large ideals: 4503837 Thu Jan 23 08:06:00 2020 relations with 5 large ideals: 15349254 Thu Jan 23 08:06:00 2020 relations with 6 large ideals: 21321974 Thu Jan 23 08:06:00 2020 relations with 7+ large ideals: 48866738 Thu Jan 23 08:06:00 2020 commencing 2-way merge Thu Jan 23 08:07:09 2020 reduce to 60261556 relation sets and 58976769 unique ideals Thu Jan 23 08:07:09 2020 commencing full merge Thu Jan 23 08:27:57 2020 memory use: 7251.7 MB Thu Jan 23 08:28:12 2020 found 29302969 cycles, need 29168969 Thu Jan 23 08:28:26 2020 weight of 29168969 cycles is about 2625335979 (90.00/cycle) Thu Jan 23 08:28:26 2020 distribution of cycle lengths: Thu Jan 23 08:28:26 2020 1 relations: 2766585 Thu Jan 23 08:28:26 2020 2 relations: 3004545 Thu Jan 23 08:28:26 2020 3 relations: 2988057 Thu Jan 23 08:28:26 2020 4 relations: 2791359 Thu Jan 23 08:28:26 2020 5 relations: 2517578 Thu Jan 23 08:28:26 2020 6 relations: 2253701 Thu Jan 23 08:28:26 2020 7 relations: 1980201 Thu Jan 23 08:28:26 2020 8 relations: 1734227 Thu Jan 23 08:28:26 2020 9 relations: 1515797 Thu Jan 23 08:28:26 2020 10+ relations: 7616919 Thu Jan 23 08:28:26 2020 heaviest cycle: 28 relations Thu Jan 23 08:28:46 2020 commencing cycle optimization Thu Jan 23 08:29:52 2020 start with 201192656 relations Thu Jan 23 08:36:34 2020 pruned 6584160 relations Thu Jan 23 08:36:36 2020 memory use: 5851.4 MB Thu Jan 23 08:36:36 2020 distribution of cycle lengths: Thu Jan 23 08:36:36 2020 1 relations: 2766585 Thu Jan 23 08:36:36 2020 2 relations: 3067205 Thu Jan 23 08:36:36 2020 3 relations: 3111561 Thu Jan 23 08:36:36 2020 4 relations: 2883932 Thu Jan 23 08:36:36 2020 5 relations: 2609387 Thu Jan 23 08:36:36 2020 6 relations: 2307937 Thu Jan 23 08:36:36 2020 7 relations: 2021991 Thu Jan 23 08:36:36 2020 8 relations: 1751677 Thu Jan 23 08:36:36 2020 9 relations: 1522295 Thu Jan 23 08:36:36 2020 10+ relations: 7126399 Thu Jan 23 08:36:36 2020 heaviest cycle: 28 relations Thu Jan 23 08:37:49 2020 RelProcTime: 6195 Thu Jan 23 08:37:49 2020 elapsed time 01:43:16 Thu Jan 23 09:28:07 2020 Thu Jan 23 09:28:07 2020 Thu Jan 23 09:28:07 2020 Msieve v. 1.54 (SVN 1028) Thu Jan 23 09:28:07 2020 random seeds: a623ed40 f91f4d32 Thu Jan 23 09:28:07 2020 factoring 1965019802697060542275450444802183027080005878031066941684484661827646380403642517782424400325651752940332681599691997754129394072404762629108619472221001579824980918516720494843789151045572326793462450538230301 (211 digits) Thu Jan 23 09:28:08 2020 no P-1/P+1/ECM available, skipping Thu Jan 23 09:28:08 2020 commencing number field sieve (211-digit input) Thu Jan 23 09:28:08 2020 R0: 2923602405716568564338475449381171413803636207598822186175234 Thu Jan 23 09:28:08 2020 R1: -1 Thu Jan 23 09:28:08 2020 A0: 1 Thu Jan 23 09:28:08 2020 A1: -10 Thu Jan 23 09:28:08 2020 A2: -10 Thu Jan 23 09:28:08 2020 A3: 25 Thu Jan 23 09:28:08 2020 A4: 25 Thu Jan 23 09:28:08 2020 skew 0.45, size 7.490e-25, alpha 2.175, combined = 8.295e-15 rroots = 4 Thu Jan 23 09:28:08 2020 Thu Jan 23 09:28:08 2020 commencing linear algebra Thu Jan 23 09:28:12 2020 read 29168969 cycles Thu Jan 23 09:29:09 2020 cycles contain 90424170 unique relations Thu Jan 23 09:36:24 2020 read 90424170 relations Thu Jan 23 09:39:07 2020 using 20 quadratic characters above 4294917295 Thu Jan 23 09:45:22 2020 building initial matrix Thu Jan 23 09:58:51 2020 memory use: 11305.3 MB Thu Jan 23 09:59:04 2020 read 29168969 cycles Thu Jan 23 09:59:08 2020 matrix is 29168792 x 29168969 (10843.8 MB) with weight 3080365221 (105.60/col) Thu Jan 23 09:59:08 2020 sparse part has weight 2521777211 (86.45/col) Thu Jan 23 10:07:04 2020 filtering completed in 2 passes Thu Jan 23 10:07:09 2020 matrix is 29162987 x 29163160 (10843.4 MB) with weight 3080207464 (105.62/col) Thu Jan 23 10:07:09 2020 sparse part has weight 2521731499 (86.47/col) Thu Jan 23 10:08:24 2020 matrix starts at (0, 0) Thu Jan 23 10:08:28 2020 matrix is 29162987 x 29163160 (10843.4 MB) with weight 3080207464 (105.62/col) Thu Jan 23 10:08:28 2020 sparse part has weight 2521731499 (86.47/col) Thu Jan 23 10:08:28 2020 saving the first 112 matrix rows for later Thu Jan 23 10:08:33 2020 matrix includes 128 packed rows Thu Jan 23 10:08:40 2020 matrix is 29162875 x 29163160 (10168.1 MB) with weight 2434801718 (83.49/col) Thu Jan 23 10:08:40 2020 sparse part has weight 2315551237 (79.40/col) Thu Jan 23 10:08:40 2020 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB Thu Jan 23 10:10:26 2020 commencing Lanczos iteration (10 threads) Thu Jan 23 10:10:26 2020 memory use: 11907.2 MB Thu Jan 23 10:11:22 2020 linear algebra at 0.0%, ETA 270h22m Thu Jan 23 10:11:39 2020 checkpointing every 110000 dimensions Mon Feb 3 08:07:04 2020 lanczos halted after 229205 iterations (dim = 29162873) Mon Feb 3 08:08:00 2020 recovered 35 nontrivial dependencies Mon Feb 3 08:08:03 2020 BLanczosTime: 945595 Mon Feb 3 08:08:03 2020 Mon Feb 3 08:08:03 2020 commencing square root phase Mon Feb 3 08:08:03 2020 reading relations for dependency 1 Mon Feb 3 08:08:06 2020 read 14579873 cycles Mon Feb 3 08:08:32 2020 cycles contain 45205522 unique relations Mon Feb 3 08:12:29 2020 read 45205522 relations Mon Feb 3 08:15:53 2020 multiplying 45205522 relations Mon Feb 3 08:34:51 2020 multiply complete, coefficients have about 1409.86 million bits Mon Feb 3 08:34:55 2020 initial square root is modulo 2109857 Mon Feb 3 08:58:00 2020 GCD is 1, no factor found Mon Feb 3 08:58:00 2020 reading relations for dependency 2 Mon Feb 3 08:58:03 2020 read 14580194 cycles Mon Feb 3 08:58:27 2020 cycles contain 45211444 unique relations Mon Feb 3 09:02:22 2020 read 45211444 relations Mon Feb 3 09:05:46 2020 multiplying 45211444 relations Mon Feb 3 09:24:45 2020 multiply complete, coefficients have about 1410.04 million bits Mon Feb 3 09:24:49 2020 initial square root is modulo 2113703 Mon Feb 3 09:48:13 2020 sqrtTime: 6010 Mon Feb 3 09:48:13 2020 p86 factor: 25822548244299880006391249505592569731337769069672690296006992583112443319353229235941 Mon Feb 3 09:48:13 2020 p125 factor: 76097052239250743628646066953269717664413797368576928648747487396621406664383446306987339367155281257014361063842022979551961 Mon Feb 3 09:48:13 2020 elapsed time 264:20:06