Sat Jan 30 10:03:38 2021 Sat Jan 30 10:03:38 2021 Sat Jan 30 10:03:38 2021 Msieve v. 1.53 (SVN 988M) Sat Jan 30 10:03:38 2021 random seeds: 1bb56720 db7c74f0 Sat Jan 30 10:03:38 2021 factoring 87133703947223092259141282501845015369349074998066213283200740423582091240941601265919844330257014735099718685391596057387121657457407019689054795952114480041148891418474773448887389173563191254791 (197 digits) Sat Jan 30 10:03:39 2021 searching for 15-digit factors Sat Jan 30 10:03:40 2021 commencing number field sieve (197-digit input) Sat Jan 30 10:03:40 2021 R0: 16173092699229880893718618465586445357583280647840659957609 Sat Jan 30 10:03:40 2021 R1: -2305843009213693952 Sat Jan 30 10:03:40 2021 A0: 1 Sat Jan 30 10:03:40 2021 A1: 1 Sat Jan 30 10:03:40 2021 A2: 1 Sat Jan 30 10:03:40 2021 A3: 1 Sat Jan 30 10:03:40 2021 A4: 1 Sat Jan 30 10:03:40 2021 skew 1.00, size 1.065e-23, alpha 1.694, combined = 4.017e-14 rroots = 0 Sat Jan 30 10:03:40 2021 Sat Jan 30 10:03:40 2021 commencing relation filtering Sat Jan 30 10:03:40 2021 setting target matrix density to 120.0 Sat Jan 30 10:03:40 2021 estimated available RAM is 32768.0 MB Sat Jan 30 10:03:40 2021 commencing duplicate removal, pass 1 Sat Jan 30 10:15:01 2021 error -15 reading relation 108524375 Sat Jan 30 10:15:45 2021 error -1 reading relation 115851346 Sat Jan 30 10:16:17 2021 error -5 reading relation 121229378 Sat Jan 30 10:17:42 2021 error -1 reading relation 135185100 Sat Jan 30 10:17:42 2021 error -11 reading relation 135186915 Sat Jan 30 10:17:42 2021 error -5 reading relation 135187859 Sat Jan 30 10:17:42 2021 error -15 reading relation 135194593 Sat Jan 30 10:19:02 2021 error -15 reading relation 148457225 Sat Jan 30 10:22:20 2021 error -1 reading relation 181023061 Sat Jan 30 10:24:23 2021 skipped 5408 relations with b > 2^32 Sat Jan 30 10:24:23 2021 skipped 2 relations with composite factors Sat Jan 30 10:24:23 2021 found 8860205 hash collisions in 201161731 relations Sat Jan 30 10:24:28 2021 added 3657741 free relations Sat Jan 30 10:24:28 2021 commencing duplicate removal, pass 2 Sat Jan 30 10:33:04 2021 found 0 duplicates and 204819472 unique relations Sat Jan 30 10:33:04 2021 memory use: 522.4 MB Sat Jan 30 10:33:05 2021 reading ideals above 209911808 Sat Jan 30 10:33:05 2021 commencing singleton removal, initial pass Sat Jan 30 10:47:53 2021 memory use: 3012.0 MB Sat Jan 30 10:47:54 2021 reading all ideals from disk Sat Jan 30 10:49:16 2021 memory use: 3495.8 MB Sat Jan 30 10:49:23 2021 commencing in-memory singleton removal Sat Jan 30 10:49:30 2021 begin with 204819472 relations and 155395880 unique ideals Sat Jan 30 10:50:49 2021 reduce to 147351894 relations and 93072501 ideals in 12 passes Sat Jan 30 10:50:49 2021 max relations containing the same ideal: 43 Sat Jan 30 10:51:07 2021 reading ideals above 720000 Sat Jan 30 10:51:07 2021 commencing singleton removal, initial pass Sat Jan 30 11:05:50 2021 memory use: 3012.0 MB Sat Jan 30 11:05:50 2021 reading all ideals from disk Sat Jan 30 11:08:13 2021 memory use: 6042.6 MB Sat Jan 30 11:08:25 2021 keeping 115502267 ideals with weight <= 200, target excess is 764272 Sat Jan 30 11:08:40 2021 commencing in-memory singleton removal Sat Jan 30 11:08:50 2021 begin with 147351895 relations and 115502267 unique ideals Sat Jan 30 11:10:11 2021 reduce to 147333474 relations and 115483716 ideals in 7 passes Sat Jan 30 11:10:11 2021 max relations containing the same ideal: 200 Sat Jan 30 11:11:06 2021 removing 9738730 relations and 7738730 ideals in 2000000 cliques Sat Jan 30 11:11:09 2021 commencing in-memory singleton removal Sat Jan 30 11:11:19 2021 begin with 137594744 relations and 115483716 unique ideals Sat Jan 30 11:12:45 2021 reduce to 137087579 relations and 107228961 ideals in 8 passes Sat Jan 30 11:12:45 2021 max relations containing the same ideal: 197 Sat Jan 30 11:13:36 2021 removing 7519404 relations and 5519404 ideals in 2000000 cliques Sat Jan 30 11:13:39 2021 commencing in-memory singleton removal Sat Jan 30 11:13:48 2021 begin with 129568175 relations and 107228961 unique ideals Sat Jan 30 11:14:58 2021 reduce to 129227247 relations and 101363346 ideals in 7 passes Sat Jan 30 11:14:58 2021 max relations containing the same ideal: 192 Sat Jan 30 11:15:47 2021 removing 6864122 relations and 4864122 ideals in 2000000 cliques Sat Jan 30 11:15:49 2021 commencing in-memory singleton removal Sat Jan 30 11:15:58 2021 begin with 122363125 relations and 101363346 unique ideals Sat Jan 30 11:16:55 2021 reduce to 122064961 relations and 96196581 ideals in 6 passes Sat Jan 30 11:16:55 2021 max relations containing the same ideal: 187 Sat Jan 30 11:17:41 2021 removing 6532442 relations and 4532442 ideals in 2000000 cliques Sat Jan 30 11:17:43 2021 commencing in-memory singleton removal Sat Jan 30 11:17:51 2021 begin with 115532519 relations and 96196581 unique ideals Sat Jan 30 11:18:45 2021 reduce to 115252289 relations and 91379554 ideals in 6 passes Sat Jan 30 11:18:45 2021 max relations containing the same ideal: 183 Sat Jan 30 11:19:28 2021 removing 6324561 relations and 4324561 ideals in 2000000 cliques Sat Jan 30 11:19:31 2021 commencing in-memory singleton removal Sat Jan 30 11:19:39 2021 begin with 108927728 relations and 91379554 unique ideals Sat Jan 30 11:20:37 2021 reduce to 108657726 relations and 86780627 ideals in 7 passes Sat Jan 30 11:20:37 2021 max relations containing the same ideal: 178 Sat Jan 30 11:21:18 2021 removing 6192294 relations and 4192294 ideals in 2000000 cliques Sat Jan 30 11:21:21 2021 commencing in-memory singleton removal Sat Jan 30 11:21:28 2021 begin with 102465432 relations and 86780627 unique ideals Sat Jan 30 11:22:15 2021 reduce to 102196177 relations and 82314502 ideals in 6 passes Sat Jan 30 11:22:15 2021 max relations containing the same ideal: 169 Sat Jan 30 11:22:53 2021 removing 6099253 relations and 4099253 ideals in 2000000 cliques Sat Jan 30 11:22:56 2021 commencing in-memory singleton removal Sat Jan 30 11:23:02 2021 begin with 96096924 relations and 82314502 unique ideals Sat Jan 30 11:23:46 2021 reduce to 95823578 relations and 77937090 ideals in 6 passes Sat Jan 30 11:23:46 2021 max relations containing the same ideal: 163 Sat Jan 30 11:24:22 2021 removing 6039088 relations and 4039088 ideals in 2000000 cliques Sat Jan 30 11:24:25 2021 commencing in-memory singleton removal Sat Jan 30 11:24:31 2021 begin with 89784490 relations and 77937090 unique ideals Sat Jan 30 11:25:19 2021 reduce to 89503433 relations and 73611639 ideals in 7 passes Sat Jan 30 11:25:19 2021 max relations containing the same ideal: 153 Sat Jan 30 11:25:53 2021 removing 6002896 relations and 4002896 ideals in 2000000 cliques Sat Jan 30 11:25:55 2021 commencing in-memory singleton removal Sat Jan 30 11:26:01 2021 begin with 83500537 relations and 73611639 unique ideals Sat Jan 30 11:26:38 2021 reduce to 83206238 relations and 69308660 ideals in 6 passes Sat Jan 30 11:26:38 2021 max relations containing the same ideal: 148 Sat Jan 30 11:27:10 2021 removing 5988572 relations and 3988572 ideals in 2000000 cliques Sat Jan 30 11:27:13 2021 commencing in-memory singleton removal Sat Jan 30 11:27:18 2021 begin with 77217666 relations and 69308660 unique ideals Sat Jan 30 11:27:52 2021 reduce to 76904852 relations and 65000590 ideals in 6 passes Sat Jan 30 11:27:52 2021 max relations containing the same ideal: 140 Sat Jan 30 11:28:22 2021 removing 5992405 relations and 3992405 ideals in 2000000 cliques Sat Jan 30 11:28:24 2021 commencing in-memory singleton removal Sat Jan 30 11:28:29 2021 begin with 70912447 relations and 65000590 unique ideals Sat Jan 30 11:29:05 2021 reduce to 70576410 relations and 60664337 ideals in 7 passes Sat Jan 30 11:29:05 2021 max relations containing the same ideal: 134 Sat Jan 30 11:29:32 2021 removing 6014459 relations and 4014459 ideals in 2000000 cliques Sat Jan 30 11:29:35 2021 commencing in-memory singleton removal Sat Jan 30 11:29:39 2021 begin with 64561951 relations and 60664337 unique ideals Sat Jan 30 11:30:12 2021 reduce to 64191794 relations and 56270708 ideals in 7 passes Sat Jan 30 11:30:12 2021 max relations containing the same ideal: 126 Sat Jan 30 11:30:37 2021 removing 6057671 relations and 4057671 ideals in 2000000 cliques Sat Jan 30 11:30:39 2021 commencing in-memory singleton removal Sat Jan 30 11:30:43 2021 begin with 58134123 relations and 56270708 unique ideals Sat Jan 30 11:31:12 2021 reduce to 57721375 relations and 51789350 ideals in 7 passes Sat Jan 30 11:31:12 2021 max relations containing the same ideal: 114 Sat Jan 30 11:31:35 2021 removing 6121779 relations and 4121779 ideals in 2000000 cliques Sat Jan 30 11:31:37 2021 commencing in-memory singleton removal Sat Jan 30 11:31:40 2021 begin with 51599596 relations and 51789350 unique ideals Sat Jan 30 11:32:06 2021 reduce to 51130729 relations and 47184739 ideals in 7 passes Sat Jan 30 11:32:06 2021 max relations containing the same ideal: 106 Sat Jan 30 11:32:26 2021 removing 6208787 relations and 4208787 ideals in 2000000 cliques Sat Jan 30 11:32:28 2021 commencing in-memory singleton removal Sat Jan 30 11:32:31 2021 begin with 44921942 relations and 47184739 unique ideals Sat Jan 30 11:32:56 2021 reduce to 44371958 relations and 42407591 ideals in 8 passes Sat Jan 30 11:32:56 2021 max relations containing the same ideal: 95 Sat Jan 30 11:33:14 2021 removing 3838625 relations and 2760814 ideals in 1077811 cliques Sat Jan 30 11:33:16 2021 commencing in-memory singleton removal Sat Jan 30 11:33:18 2021 begin with 40533333 relations and 42407591 unique ideals Sat Jan 30 11:33:38 2021 reduce to 40286511 relations and 39394696 ideals in 7 passes Sat Jan 30 11:33:38 2021 max relations containing the same ideal: 88 Sat Jan 30 11:33:59 2021 relations with 0 large ideals: 60125 Sat Jan 30 11:33:59 2021 relations with 1 large ideals: 8104 Sat Jan 30 11:33:59 2021 relations with 2 large ideals: 89385 Sat Jan 30 11:33:59 2021 relations with 3 large ideals: 653630 Sat Jan 30 11:33:59 2021 relations with 4 large ideals: 2698973 Sat Jan 30 11:33:59 2021 relations with 5 large ideals: 8063315 Sat Jan 30 11:33:59 2021 relations with 6 large ideals: 9925860 Sat Jan 30 11:33:59 2021 relations with 7+ large ideals: 18787119 Sat Jan 30 11:33:59 2021 commencing 2-way merge Sat Jan 30 11:34:22 2021 reduce to 27624267 relation sets and 26732452 unique ideals Sat Jan 30 11:34:22 2021 commencing full merge Sat Jan 30 11:53:24 2021 memory use: 1238.4 MB Sat Jan 30 11:53:24 2021 found 91225 cycles, need 5870084 Sat Jan 30 11:53:24 2021 too few cycles, matrix probably cannot build Sat Jan 30 11:56:55 2021 Sat Jan 30 11:56:55 2021 Sat Jan 30 11:56:55 2021 Msieve v. 1.53 (SVN 988M) Sat Jan 30 11:56:55 2021 random seeds: 3e2174b2 c0db90f5 Sat Jan 30 11:56:55 2021 factoring 87133703947223092259141282501845015369349074998066213283200740423582091240941601265919844330257014735099718685391596057387121657457407019689054795952114480041148891418474773448887389173563191254791 (197 digits) Sat Jan 30 11:56:56 2021 searching for 15-digit factors Sat Jan 30 11:56:57 2021 commencing number field sieve (197-digit input) Sat Jan 30 11:56:57 2021 R0: 16173092699229880893718618465586445357583280647840659957609 Sat Jan 30 11:56:57 2021 R1: -2305843009213693952 Sat Jan 30 11:56:57 2021 A0: 1 Sat Jan 30 11:56:57 2021 A1: 1 Sat Jan 30 11:56:57 2021 A2: 1 Sat Jan 30 11:56:57 2021 A3: 1 Sat Jan 30 11:56:57 2021 A4: 1 Sat Jan 30 11:56:57 2021 skew 1.00, size 1.065e-23, alpha 1.694, combined = 4.017e-14 rroots = 0 Sat Jan 30 11:56:57 2021 Sat Jan 30 11:56:57 2021 commencing relation filtering Sat Jan 30 11:56:57 2021 setting target matrix density to 116.0 Sat Jan 30 11:56:57 2021 estimated available RAM is 32768.0 MB Sat Jan 30 11:56:57 2021 commencing duplicate removal, pass 1 Sat Jan 30 12:07:51 2021 error -15 reading relation 108524375 Sat Jan 30 12:08:35 2021 error -1 reading relation 115851346 Sat Jan 30 12:09:07 2021 error -5 reading relation 121229378 Sat Jan 30 12:10:32 2021 error -1 reading relation 135185100 Sat Jan 30 12:10:32 2021 error -11 reading relation 135186915 Sat Jan 30 12:10:32 2021 error -5 reading relation 135187859 Sat Jan 30 12:10:32 2021 error -15 reading relation 135194593 Sat Jan 30 12:11:52 2021 error -15 reading relation 148457225 Sat Jan 30 12:15:10 2021 error -1 reading relation 181023061 Sat Jan 30 12:17:36 2021 skipped 5408 relations with b > 2^32 Sat Jan 30 12:17:36 2021 skipped 2 relations with composite factors Sat Jan 30 12:17:36 2021 found 9172765 hash collisions in 204819472 relations Sat Jan 30 12:17:36 2021 commencing duplicate removal, pass 2 Sat Jan 30 12:26:12 2021 found 0 duplicates and 204819472 unique relations Sat Jan 30 12:26:12 2021 memory use: 522.4 MB Sat Jan 30 12:26:12 2021 reading ideals above 209911808 Sat Jan 30 12:26:12 2021 commencing singleton removal, initial pass Sat Jan 30 12:41:01 2021 memory use: 3012.0 MB Sat Jan 30 12:41:02 2021 reading all ideals from disk Sat Jan 30 12:42:25 2021 memory use: 3495.8 MB Sat Jan 30 12:42:32 2021 commencing in-memory singleton removal Sat Jan 30 12:42:38 2021 begin with 204819472 relations and 155395880 unique ideals Sat Jan 30 12:43:58 2021 reduce to 147351894 relations and 93072501 ideals in 12 passes Sat Jan 30 12:43:58 2021 max relations containing the same ideal: 43 Sat Jan 30 12:44:15 2021 reading ideals above 720000 Sat Jan 30 12:44:16 2021 commencing singleton removal, initial pass Sat Jan 30 12:58:57 2021 memory use: 3012.0 MB Sat Jan 30 12:58:57 2021 reading all ideals from disk Sat Jan 30 13:01:20 2021 memory use: 6042.6 MB Sat Jan 30 13:01:33 2021 keeping 115502267 ideals with weight <= 200, target excess is 764272 Sat Jan 30 13:01:47 2021 commencing in-memory singleton removal Sat Jan 30 13:01:58 2021 begin with 147351895 relations and 115502267 unique ideals Sat Jan 30 13:03:21 2021 reduce to 147333474 relations and 115483716 ideals in 7 passes Sat Jan 30 13:03:21 2021 max relations containing the same ideal: 200 Sat Jan 30 13:04:17 2021 removing 9738730 relations and 7738730 ideals in 2000000 cliques Sat Jan 30 13:04:20 2021 commencing in-memory singleton removal Sat Jan 30 13:04:30 2021 begin with 137594744 relations and 115483716 unique ideals Sat Jan 30 13:05:59 2021 reduce to 137087579 relations and 107228961 ideals in 8 passes Sat Jan 30 13:05:59 2021 max relations containing the same ideal: 197 Sat Jan 30 13:06:51 2021 removing 7519404 relations and 5519404 ideals in 2000000 cliques Sat Jan 30 13:06:54 2021 commencing in-memory singleton removal Sat Jan 30 13:07:03 2021 begin with 129568175 relations and 107228961 unique ideals Sat Jan 30 13:08:16 2021 reduce to 129227247 relations and 101363346 ideals in 7 passes Sat Jan 30 13:08:16 2021 max relations containing the same ideal: 192 Sat Jan 30 13:09:05 2021 removing 6864122 relations and 4864122 ideals in 2000000 cliques Sat Jan 30 13:09:08 2021 commencing in-memory singleton removal Sat Jan 30 13:09:16 2021 begin with 122363125 relations and 101363346 unique ideals Sat Jan 30 13:10:15 2021 reduce to 122064961 relations and 96196581 ideals in 6 passes Sat Jan 30 13:10:15 2021 max relations containing the same ideal: 187 Sat Jan 30 13:11:01 2021 removing 6532442 relations and 4532442 ideals in 2000000 cliques Sat Jan 30 13:11:04 2021 commencing in-memory singleton removal Sat Jan 30 13:11:12 2021 begin with 115532519 relations and 96196581 unique ideals Sat Jan 30 13:12:07 2021 reduce to 115252289 relations and 91379554 ideals in 6 passes Sat Jan 30 13:12:07 2021 max relations containing the same ideal: 183 Sat Jan 30 13:12:51 2021 removing 6324561 relations and 4324561 ideals in 2000000 cliques Sat Jan 30 13:12:54 2021 commencing in-memory singleton removal Sat Jan 30 13:13:02 2021 begin with 108927728 relations and 91379554 unique ideals Sat Jan 30 13:14:02 2021 reduce to 108657726 relations and 86780627 ideals in 7 passes Sat Jan 30 13:14:02 2021 max relations containing the same ideal: 178 Sat Jan 30 13:14:44 2021 removing 6192294 relations and 4192294 ideals in 2000000 cliques Sat Jan 30 13:14:46 2021 commencing in-memory singleton removal Sat Jan 30 13:14:54 2021 begin with 102465432 relations and 86780627 unique ideals Sat Jan 30 13:15:42 2021 reduce to 102196177 relations and 82314502 ideals in 6 passes Sat Jan 30 13:15:42 2021 max relations containing the same ideal: 169 Sat Jan 30 13:16:21 2021 removing 6099253 relations and 4099253 ideals in 2000000 cliques Sat Jan 30 13:16:24 2021 commencing in-memory singleton removal Sat Jan 30 13:16:30 2021 begin with 96096924 relations and 82314502 unique ideals Sat Jan 30 13:17:15 2021 reduce to 95823578 relations and 77937090 ideals in 6 passes Sat Jan 30 13:17:15 2021 max relations containing the same ideal: 163 Sat Jan 30 13:17:53 2021 removing 6039088 relations and 4039088 ideals in 2000000 cliques Sat Jan 30 13:17:55 2021 commencing in-memory singleton removal Sat Jan 30 13:18:01 2021 begin with 89784490 relations and 77937090 unique ideals Sat Jan 30 13:18:50 2021 reduce to 89503433 relations and 73611639 ideals in 7 passes Sat Jan 30 13:18:50 2021 max relations containing the same ideal: 153 Sat Jan 30 13:19:25 2021 removing 6002896 relations and 4002896 ideals in 2000000 cliques Sat Jan 30 13:19:27 2021 commencing in-memory singleton removal Sat Jan 30 13:19:33 2021 begin with 83500537 relations and 73611639 unique ideals Sat Jan 30 13:20:12 2021 reduce to 83206238 relations and 69308660 ideals in 6 passes Sat Jan 30 13:20:12 2021 max relations containing the same ideal: 148 Sat Jan 30 13:20:44 2021 removing 5988572 relations and 3988572 ideals in 2000000 cliques Sat Jan 30 13:20:46 2021 commencing in-memory singleton removal Sat Jan 30 13:20:52 2021 begin with 77217666 relations and 69308660 unique ideals Sat Jan 30 13:21:27 2021 reduce to 76904852 relations and 65000590 ideals in 6 passes Sat Jan 30 13:21:27 2021 max relations containing the same ideal: 140 Sat Jan 30 13:21:57 2021 removing 5992405 relations and 3992405 ideals in 2000000 cliques Sat Jan 30 13:21:59 2021 commencing in-memory singleton removal Sat Jan 30 13:22:04 2021 begin with 70912447 relations and 65000590 unique ideals Sat Jan 30 13:22:42 2021 reduce to 70576410 relations and 60664337 ideals in 7 passes Sat Jan 30 13:22:42 2021 max relations containing the same ideal: 134 Sat Jan 30 13:23:10 2021 removing 6014459 relations and 4014459 ideals in 2000000 cliques Sat Jan 30 13:23:12 2021 commencing in-memory singleton removal Sat Jan 30 13:23:16 2021 begin with 64561951 relations and 60664337 unique ideals Sat Jan 30 13:23:50 2021 reduce to 64191794 relations and 56270708 ideals in 7 passes Sat Jan 30 13:23:50 2021 max relations containing the same ideal: 126 Sat Jan 30 13:24:16 2021 removing 6057671 relations and 4057671 ideals in 2000000 cliques Sat Jan 30 13:24:18 2021 commencing in-memory singleton removal Sat Jan 30 13:24:22 2021 begin with 58134123 relations and 56270708 unique ideals Sat Jan 30 13:24:52 2021 reduce to 57721375 relations and 51789350 ideals in 7 passes Sat Jan 30 13:24:52 2021 max relations containing the same ideal: 114 Sat Jan 30 13:25:15 2021 removing 6121779 relations and 4121779 ideals in 2000000 cliques Sat Jan 30 13:25:17 2021 commencing in-memory singleton removal Sat Jan 30 13:25:21 2021 begin with 51599596 relations and 51789350 unique ideals Sat Jan 30 13:25:47 2021 reduce to 51130729 relations and 47184739 ideals in 7 passes Sat Jan 30 13:25:47 2021 max relations containing the same ideal: 106 Sat Jan 30 13:26:08 2021 removing 6208787 relations and 4208787 ideals in 2000000 cliques Sat Jan 30 13:26:10 2021 commencing in-memory singleton removal Sat Jan 30 13:26:13 2021 begin with 44921942 relations and 47184739 unique ideals Sat Jan 30 13:26:39 2021 reduce to 44371958 relations and 42407591 ideals in 8 passes Sat Jan 30 13:26:39 2021 max relations containing the same ideal: 95 Sat Jan 30 13:26:57 2021 removing 3838625 relations and 2760814 ideals in 1077811 cliques Sat Jan 30 13:26:59 2021 commencing in-memory singleton removal Sat Jan 30 13:27:01 2021 begin with 40533333 relations and 42407591 unique ideals Sat Jan 30 13:27:21 2021 reduce to 40286511 relations and 39394696 ideals in 7 passes Sat Jan 30 13:27:21 2021 max relations containing the same ideal: 88 Sat Jan 30 13:27:42 2021 relations with 0 large ideals: 60125 Sat Jan 30 13:27:42 2021 relations with 1 large ideals: 8104 Sat Jan 30 13:27:42 2021 relations with 2 large ideals: 89385 Sat Jan 30 13:27:42 2021 relations with 3 large ideals: 653630 Sat Jan 30 13:27:42 2021 relations with 4 large ideals: 2698973 Sat Jan 30 13:27:42 2021 relations with 5 large ideals: 8063315 Sat Jan 30 13:27:42 2021 relations with 6 large ideals: 9925860 Sat Jan 30 13:27:42 2021 relations with 7+ large ideals: 18787119 Sat Jan 30 13:27:42 2021 commencing 2-way merge Sat Jan 30 13:28:05 2021 reduce to 27624267 relation sets and 26732452 unique ideals Sat Jan 30 13:28:05 2021 commencing full merge Sat Jan 30 13:38:37 2021 memory use: 3497.5 MB Sat Jan 30 13:38:43 2021 found 12490101 cycles, need 12464652 Sat Jan 30 13:38:44 2021 weight of 12464652 cycles is about 1446039084 (116.01/cycle) Sat Jan 30 13:38:44 2021 distribution of cycle lengths: Sat Jan 30 13:38:44 2021 1 relations: 514039 Sat Jan 30 13:38:44 2021 2 relations: 709839 Sat Jan 30 13:38:44 2021 3 relations: 833625 Sat Jan 30 13:38:44 2021 4 relations: 881361 Sat Jan 30 13:38:44 2021 5 relations: 908489 Sat Jan 30 13:38:44 2021 6 relations: 905796 Sat Jan 30 13:38:44 2021 7 relations: 892007 Sat Jan 30 13:38:44 2021 8 relations: 859934 Sat Jan 30 13:38:44 2021 9 relations: 811583 Sat Jan 30 13:38:44 2021 10+ relations: 5147979 Sat Jan 30 13:38:44 2021 heaviest cycle: 28 relations Sat Jan 30 13:38:49 2021 commencing cycle optimization Sat Jan 30 13:39:19 2021 start with 113020316 relations Sat Jan 30 13:44:26 2021 pruned 5885449 relations Sat Jan 30 13:44:26 2021 memory use: 2841.5 MB Sat Jan 30 13:44:26 2021 distribution of cycle lengths: Sat Jan 30 13:44:26 2021 1 relations: 514039 Sat Jan 30 13:44:26 2021 2 relations: 725847 Sat Jan 30 13:44:26 2021 3 relations: 870798 Sat Jan 30 13:44:26 2021 4 relations: 922397 Sat Jan 30 13:44:26 2021 5 relations: 960790 Sat Jan 30 13:44:26 2021 6 relations: 957956 Sat Jan 30 13:44:26 2021 7 relations: 946694 Sat Jan 30 13:44:26 2021 8 relations: 909691 Sat Jan 30 13:44:26 2021 9 relations: 857933 Sat Jan 30 13:44:26 2021 10+ relations: 4798507 Sat Jan 30 13:44:26 2021 heaviest cycle: 28 relations Sat Jan 30 13:45:05 2021 RelProcTime: 6488 Sat Jan 30 13:45:07 2021 Sat Jan 30 13:45:07 2021 commencing linear algebra Sat Jan 30 13:45:09 2021 read 12464652 cycles Sat Jan 30 13:45:37 2021 cycles contain 39819138 unique relations Sat Jan 30 13:54:26 2021 read 39819138 relations Sat Jan 30 13:55:54 2021 using 20 quadratic characters above 4294917295 Sat Jan 30 13:58:09 2021 building initial matrix Sat Jan 30 14:05:06 2021 memory use: 5101.4 MB Sat Jan 30 14:07:29 2021 read 12464652 cycles Sat Jan 30 14:07:31 2021 matrix is 12464475 x 12464652 (5680.0 MB) with weight 1624117472 (130.30/col) Sat Jan 30 14:07:31 2021 sparse part has weight 1351858678 (108.46/col) Sat Jan 30 14:09:45 2021 filtering completed in 2 passes Sat Jan 30 14:09:47 2021 matrix is 12464347 x 12464524 (5680.0 MB) with weight 1624113118 (130.30/col) Sat Jan 30 14:09:47 2021 sparse part has weight 1351857143 (108.46/col) Sat Jan 30 14:12:32 2021 matrix starts at (0, 0) Sat Jan 30 14:12:34 2021 matrix is 12464347 x 12464524 (5680.0 MB) with weight 1624113118 (130.30/col) Sat Jan 30 14:12:34 2021 sparse part has weight 1351857143 (108.46/col) Sat Jan 30 14:12:34 2021 saving the first 48 matrix rows for later Sat Jan 30 14:12:35 2021 matrix includes 64 packed rows Sat Jan 30 14:12:37 2021 matrix is 12464299 x 12464524 (5448.5 MB) with weight 1395382421 (111.95/col) Sat Jan 30 14:12:37 2021 sparse part has weight 1303657546 (104.59/col) Sat Jan 30 14:12:37 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Sat Jan 30 14:13:43 2021 commencing Lanczos iteration (16 threads) Sat Jan 30 14:13:43 2021 memory use: 4667.8 MB Sat Jan 30 14:13:58 2021 linear algebra at 0.0%, ETA 32h 2m Sat Jan 30 14:14:03 2021 checkpointing every 390000 dimensions Sun Jan 31 22:04:34 2021 lanczos halted after 197115 iterations (dim = 12464297) Sun Jan 31 22:04:49 2021 recovered 36 nontrivial dependencies Sun Jan 31 22:04:54 2021 BLanczosTime: 116387 Sun Jan 31 22:04:54 2021 Sun Jan 31 22:04:54 2021 commencing square root phase Sun Jan 31 22:04:54 2021 handling dependencies 1 to 64 Sun Jan 31 22:04:54 2021 reading relations for dependency 1 Sun Jan 31 22:05:04 2021 read 6231374 cycles Sun Jan 31 22:05:18 2021 cycles contain 19911572 unique relations Sun Jan 31 22:14:03 2021 read 19911572 relations Sun Jan 31 22:15:24 2021 multiplying 19911572 relations Sun Jan 31 22:21:06 2021 multiply complete, coefficients have about 531.44 million bits Sun Jan 31 22:21:08 2021 initial square root is modulo 58603 Sun Jan 31 22:27:44 2021 GCD is N, no factor found Sun Jan 31 22:27:44 2021 reading relations for dependency 2 Sun Jan 31 22:27:57 2021 read 6233302 cycles Sun Jan 31 22:28:13 2021 cycles contain 19911864 unique relations Sun Jan 31 22:36:49 2021 read 19911864 relations Sun Jan 31 22:38:36 2021 multiplying 19911864 relations Sun Jan 31 22:44:57 2021 multiply complete, coefficients have about 531.45 million bits Sun Jan 31 22:44:58 2021 initial square root is modulo 58613 Sun Jan 31 22:51:43 2021 sqrtTime: 2809 Sun Jan 31 22:51:43 2021 p84 factor: 413020446073576555908361881990070925701150917711393503147365776845747292981180280391 Sun Jan 31 22:51:43 2021 p114 factor: 210967047214173178039146393355471973449025806914666013977964614407460540914655520330127856526117122604831975598401 Sun Jan 31 22:51:43 2021 elapsed time 34:54:48