Wed Jul 13 10:11:32 2016 Wed Jul 13 10:11:32 2016 Wed Jul 13 10:11:32 2016 Msieve v. 1.53 (SVN 988M) Wed Jul 13 10:11:32 2016 random seeds: 8f69c6a9 e4822e02 Wed Jul 13 10:11:32 2016 factoring 1569630521453298162733528526627720178247343960144643027702133936606107638512181715196396131904875949610765297519768488942124008998277456434008457023246204287911685135742816789216538969124689805983682452298298845446347902171 (223 digits) Wed Jul 13 10:11:33 2016 searching for 15-digit factors Wed Jul 13 10:11:34 2016 commencing number field sieve (223-digit input) Wed Jul 13 10:11:34 2016 R0: 139353667211683681 Wed Jul 13 10:11:34 2016 R1: 466174441982187842026106684822878420992 Wed Jul 13 10:11:34 2016 A0: 48 Wed Jul 13 10:11:34 2016 A1: 0 Wed Jul 13 10:11:34 2016 A2: 0 Wed Jul 13 10:11:34 2016 A3: 0 Wed Jul 13 10:11:34 2016 A4: 0 Wed Jul 13 10:11:34 2016 A5: 0 Wed Jul 13 10:11:34 2016 A6: 1 Wed Jul 13 10:11:34 2016 skew 1.91, size 1.484e-11, alpha 0.798, combined = 8.550e-13 rroots = 0 Wed Jul 13 10:11:34 2016 Wed Jul 13 10:11:34 2016 commencing relation filtering Wed Jul 13 10:11:34 2016 setting target matrix density to 120.0 Wed Jul 13 10:11:34 2016 estimated available RAM is 16384.0 MB Wed Jul 13 10:11:34 2016 commencing duplicate removal, pass 1 Wed Jul 13 10:23:44 2016 error -9 reading relation 105920719 Wed Jul 13 10:38:28 2016 error -9 reading relation 233126557 Wed Jul 13 10:38:30 2016 error -15 reading relation 233404212 Wed Jul 13 10:38:30 2016 error -15 reading relation 233498754 Wed Jul 13 10:38:33 2016 error -5 reading relation 233934470 Wed Jul 13 10:39:21 2016 error -9 reading relation 240904756 Wed Jul 13 10:39:28 2016 error -9 reading relation 241915461 Wed Jul 13 10:40:10 2016 error -9 reading relation 248065594 Wed Jul 13 10:40:29 2016 skipped 16 relations with b > 2^32 Wed Jul 13 10:40:29 2016 skipped 3 relations with composite factors Wed Jul 13 10:40:29 2016 found 43131147 hash collisions in 250916546 relations Wed Jul 13 10:40:36 2016 added 2438315 free relations Wed Jul 13 10:40:36 2016 commencing duplicate removal, pass 2 Wed Jul 13 10:44:06 2016 found 38909333 duplicates and 214445528 unique relations Wed Jul 13 10:44:06 2016 memory use: 1321.5 MB Wed Jul 13 10:44:06 2016 reading ideals above 116588544 Wed Jul 13 10:44:06 2016 commencing singleton removal, initial pass Wed Jul 13 11:03:42 2016 memory use: 5512.0 MB Wed Jul 13 11:03:43 2016 reading all ideals from disk Wed Jul 13 11:04:01 2016 memory use: 3726.5 MB Wed Jul 13 11:04:09 2016 commencing in-memory singleton removal Wed Jul 13 11:04:17 2016 begin with 214445528 relations and 164753975 unique ideals Wed Jul 13 11:05:37 2016 reduce to 151700489 relations and 96450085 ideals in 12 passes Wed Jul 13 11:05:37 2016 max relations containing the same ideal: 35 Wed Jul 13 11:05:49 2016 reading ideals above 720000 Wed Jul 13 11:05:50 2016 commencing singleton removal, initial pass Wed Jul 13 11:23:46 2016 memory use: 3012.0 MB Wed Jul 13 11:23:46 2016 reading all ideals from disk Wed Jul 13 11:24:16 2016 memory use: 5820.4 MB Wed Jul 13 11:24:30 2016 keeping 109010001 ideals with weight <= 200, target excess is 757358 Wed Jul 13 11:24:42 2016 commencing in-memory singleton removal Wed Jul 13 11:24:54 2016 begin with 151700489 relations and 109010001 unique ideals Wed Jul 13 11:25:43 2016 reduce to 151699947 relations and 109009459 ideals in 5 passes Wed Jul 13 11:25:43 2016 max relations containing the same ideal: 200 Wed Jul 13 11:26:32 2016 removing 9456791 relations and 7456791 ideals in 2000000 cliques Wed Jul 13 11:26:36 2016 commencing in-memory singleton removal Wed Jul 13 11:26:47 2016 begin with 142243156 relations and 109009459 unique ideals Wed Jul 13 11:27:53 2016 reduce to 141794625 relations and 101096260 ideals in 7 passes Wed Jul 13 11:27:53 2016 max relations containing the same ideal: 197 Wed Jul 13 11:28:41 2016 removing 7221603 relations and 5221603 ideals in 2000000 cliques Wed Jul 13 11:28:44 2016 commencing in-memory singleton removal Wed Jul 13 11:28:54 2016 begin with 134573022 relations and 101096260 unique ideals Wed Jul 13 11:29:56 2016 reduce to 134273189 relations and 95570335 ideals in 7 passes Wed Jul 13 11:29:56 2016 max relations containing the same ideal: 193 Wed Jul 13 11:30:39 2016 removing 6590831 relations and 4590831 ideals in 2000000 cliques Wed Jul 13 11:30:42 2016 commencing in-memory singleton removal Wed Jul 13 11:30:51 2016 begin with 127682358 relations and 95570335 unique ideals Wed Jul 13 11:31:40 2016 reduce to 127426176 relations and 90719649 ideals in 6 passes Wed Jul 13 11:31:40 2016 max relations containing the same ideal: 188 Wed Jul 13 11:32:21 2016 removing 6255850 relations and 4255850 ideals in 2000000 cliques Wed Jul 13 11:32:24 2016 commencing in-memory singleton removal Wed Jul 13 11:32:32 2016 begin with 121170326 relations and 90719649 unique ideals Wed Jul 13 11:33:26 2016 reduce to 120937241 relations and 86227195 ideals in 7 passes Wed Jul 13 11:33:26 2016 max relations containing the same ideal: 184 Wed Jul 13 11:34:05 2016 removing 6040124 relations and 4040124 ideals in 2000000 cliques Wed Jul 13 11:34:08 2016 commencing in-memory singleton removal Wed Jul 13 11:34:16 2016 begin with 114897117 relations and 86227195 unique ideals Wed Jul 13 11:35:00 2016 reduce to 114677643 relations and 81964157 ideals in 6 passes Wed Jul 13 11:35:00 2016 max relations containing the same ideal: 177 Wed Jul 13 11:35:37 2016 removing 5885328 relations and 3885328 ideals in 2000000 cliques Wed Jul 13 11:35:40 2016 commencing in-memory singleton removal Wed Jul 13 11:35:47 2016 begin with 108792315 relations and 81964157 unique ideals Wed Jul 13 11:36:28 2016 reduce to 108581194 relations and 77864276 ideals in 6 passes Wed Jul 13 11:36:28 2016 max relations containing the same ideal: 173 Wed Jul 13 11:37:04 2016 removing 5769166 relations and 3769166 ideals in 2000000 cliques Wed Jul 13 11:37:06 2016 commencing in-memory singleton removal Wed Jul 13 11:37:13 2016 begin with 102812028 relations and 77864276 unique ideals Wed Jul 13 11:37:51 2016 reduce to 102603146 relations and 73882640 ideals in 6 passes Wed Jul 13 11:37:51 2016 max relations containing the same ideal: 166 Wed Jul 13 11:38:25 2016 removing 5677452 relations and 3677452 ideals in 2000000 cliques Wed Jul 13 11:38:27 2016 commencing in-memory singleton removal Wed Jul 13 11:38:34 2016 begin with 96925694 relations and 73882640 unique ideals Wed Jul 13 11:39:10 2016 reduce to 96718261 relations and 69993923 ideals in 6 passes Wed Jul 13 11:39:10 2016 max relations containing the same ideal: 159 Wed Jul 13 11:39:40 2016 removing 5606792 relations and 3606792 ideals in 2000000 cliques Wed Jul 13 11:39:43 2016 commencing in-memory singleton removal Wed Jul 13 11:39:49 2016 begin with 91111469 relations and 69993923 unique ideals Wed Jul 13 11:40:17 2016 reduce to 90902648 relations and 66174251 ideals in 5 passes Wed Jul 13 11:40:17 2016 max relations containing the same ideal: 153 Wed Jul 13 11:40:46 2016 removing 5550844 relations and 3550844 ideals in 2000000 cliques Wed Jul 13 11:40:48 2016 commencing in-memory singleton removal Wed Jul 13 11:40:54 2016 begin with 85351804 relations and 66174251 unique ideals Wed Jul 13 11:41:35 2016 reduce to 85138047 relations and 62405284 ideals in 8 passes Wed Jul 13 11:41:35 2016 max relations containing the same ideal: 145 Wed Jul 13 11:42:01 2016 removing 5501370 relations and 3501370 ideals in 2000000 cliques Wed Jul 13 11:42:03 2016 commencing in-memory singleton removal Wed Jul 13 11:42:09 2016 begin with 79636677 relations and 62405284 unique ideals Wed Jul 13 11:42:37 2016 reduce to 79416218 relations and 58678709 ideals in 6 passes Wed Jul 13 11:42:37 2016 max relations containing the same ideal: 140 Wed Jul 13 11:43:02 2016 removing 5466393 relations and 3466393 ideals in 2000000 cliques Wed Jul 13 11:43:04 2016 commencing in-memory singleton removal Wed Jul 13 11:43:09 2016 begin with 73949825 relations and 58678709 unique ideals Wed Jul 13 11:43:35 2016 reduce to 73721741 relations and 54979075 ideals in 6 passes Wed Jul 13 11:43:35 2016 max relations containing the same ideal: 133 Wed Jul 13 11:43:58 2016 removing 5438534 relations and 3438534 ideals in 2000000 cliques Wed Jul 13 11:44:00 2016 commencing in-memory singleton removal Wed Jul 13 11:44:04 2016 begin with 68283207 relations and 54979075 unique ideals Wed Jul 13 11:44:27 2016 reduce to 68043421 relations and 51294918 ideals in 6 passes Wed Jul 13 11:44:27 2016 max relations containing the same ideal: 126 Wed Jul 13 11:44:49 2016 removing 5421055 relations and 3421055 ideals in 2000000 cliques Wed Jul 13 11:44:51 2016 commencing in-memory singleton removal Wed Jul 13 11:44:54 2016 begin with 62622366 relations and 51294918 unique ideals Wed Jul 13 11:45:19 2016 reduce to 62367400 relations and 47612201 ideals in 7 passes Wed Jul 13 11:45:19 2016 max relations containing the same ideal: 121 Wed Jul 13 11:45:39 2016 removing 5412557 relations and 3412557 ideals in 2000000 cliques Wed Jul 13 11:45:41 2016 commencing in-memory singleton removal Wed Jul 13 11:45:44 2016 begin with 56954843 relations and 47612201 unique ideals Wed Jul 13 11:46:03 2016 reduce to 56681613 relations and 43918933 ideals in 6 passes Wed Jul 13 11:46:03 2016 max relations containing the same ideal: 111 Wed Jul 13 11:46:21 2016 removing 5408169 relations and 3408169 ideals in 2000000 cliques Wed Jul 13 11:46:23 2016 commencing in-memory singleton removal Wed Jul 13 11:46:25 2016 begin with 51273444 relations and 43918933 unique ideals Wed Jul 13 11:46:42 2016 reduce to 50975696 relations and 40203959 ideals in 6 passes Wed Jul 13 11:46:42 2016 max relations containing the same ideal: 104 Wed Jul 13 11:46:58 2016 removing 5415450 relations and 3415450 ideals in 2000000 cliques Wed Jul 13 11:46:59 2016 commencing in-memory singleton removal Wed Jul 13 11:47:02 2016 begin with 45560246 relations and 40203959 unique ideals Wed Jul 13 11:47:16 2016 reduce to 45231309 relations and 36448454 ideals in 6 passes Wed Jul 13 11:47:16 2016 max relations containing the same ideal: 94 Wed Jul 13 11:47:30 2016 removing 5428563 relations and 3428563 ideals in 2000000 cliques Wed Jul 13 11:47:32 2016 commencing in-memory singleton removal Wed Jul 13 11:47:34 2016 begin with 39802746 relations and 36448454 unique ideals Wed Jul 13 11:47:46 2016 reduce to 39431946 relations and 32635136 ideals in 6 passes Wed Jul 13 11:47:46 2016 max relations containing the same ideal: 86 Wed Jul 13 11:47:58 2016 removing 5450326 relations and 3450326 ideals in 2000000 cliques Wed Jul 13 11:47:59 2016 commencing in-memory singleton removal Wed Jul 13 11:48:01 2016 begin with 33981620 relations and 32635136 unique ideals Wed Jul 13 11:48:13 2016 reduce to 33552074 relations and 28736972 ideals in 8 passes Wed Jul 13 11:48:13 2016 max relations containing the same ideal: 80 Wed Jul 13 11:48:23 2016 removing 5486196 relations and 3486196 ideals in 2000000 cliques Wed Jul 13 11:48:25 2016 commencing in-memory singleton removal Wed Jul 13 11:48:26 2016 begin with 28065878 relations and 28736972 unique ideals Wed Jul 13 11:48:37 2016 reduce to 27548255 relations and 24707609 ideals in 9 passes Wed Jul 13 11:48:37 2016 max relations containing the same ideal: 69 Wed Jul 13 11:48:45 2016 removing 5448576 relations and 3486466 ideals in 1962110 cliques Wed Jul 13 11:48:46 2016 commencing in-memory singleton removal Wed Jul 13 11:48:47 2016 begin with 22099679 relations and 24707609 unique ideals Wed Jul 13 11:48:54 2016 reduce to 21438771 relations and 20520389 ideals in 8 passes Wed Jul 13 11:48:54 2016 max relations containing the same ideal: 58 Wed Jul 13 11:49:00 2016 removing 221762 relations and 181916 ideals in 39846 cliques Wed Jul 13 11:49:01 2016 commencing in-memory singleton removal Wed Jul 13 11:49:02 2016 begin with 21217009 relations and 20520389 unique ideals Wed Jul 13 11:49:06 2016 reduce to 21214605 relations and 20336063 ideals in 5 passes Wed Jul 13 11:49:06 2016 max relations containing the same ideal: 58 Wed Jul 13 11:49:08 2016 relations with 0 large ideals: 57591 Wed Jul 13 11:49:08 2016 relations with 1 large ideals: 21770 Wed Jul 13 11:49:08 2016 relations with 2 large ideals: 233949 Wed Jul 13 11:49:08 2016 relations with 3 large ideals: 1225118 Wed Jul 13 11:49:08 2016 relations with 4 large ideals: 3369225 Wed Jul 13 11:49:08 2016 relations with 5 large ideals: 5397057 Wed Jul 13 11:49:08 2016 relations with 6 large ideals: 5322540 Wed Jul 13 11:49:08 2016 relations with 7+ large ideals: 5587355 Wed Jul 13 11:49:08 2016 commencing 2-way merge Wed Jul 13 11:49:16 2016 reduce to 14472669 relation sets and 13594127 unique ideals Wed Jul 13 11:49:16 2016 commencing full merge Wed Jul 13 11:54:28 2016 memory use: 1819.5 MB Wed Jul 13 11:54:30 2016 found 6456055 cycles, need 6434327 Wed Jul 13 11:54:30 2016 weight of 6434327 cycles is about 772666609 (120.09/cycle) Wed Jul 13 11:54:30 2016 distribution of cycle lengths: Wed Jul 13 11:54:30 2016 1 relations: 217453 Wed Jul 13 11:54:30 2016 2 relations: 323780 Wed Jul 13 11:54:30 2016 3 relations: 406871 Wed Jul 13 11:54:30 2016 4 relations: 443756 Wed Jul 13 11:54:30 2016 5 relations: 471760 Wed Jul 13 11:54:30 2016 6 relations: 479851 Wed Jul 13 11:54:30 2016 7 relations: 472928 Wed Jul 13 11:54:30 2016 8 relations: 456861 Wed Jul 13 11:54:30 2016 9 relations: 427178 Wed Jul 13 11:54:30 2016 10+ relations: 2733889 Wed Jul 13 11:54:30 2016 heaviest cycle: 28 relations Wed Jul 13 11:54:32 2016 commencing cycle optimization Wed Jul 13 11:54:45 2016 start with 60203688 relations Wed Jul 13 11:57:08 2016 pruned 3234559 relations Wed Jul 13 11:57:08 2016 memory use: 1497.4 MB Wed Jul 13 11:57:08 2016 distribution of cycle lengths: Wed Jul 13 11:57:08 2016 1 relations: 217453 Wed Jul 13 11:57:08 2016 2 relations: 331370 Wed Jul 13 11:57:08 2016 3 relations: 424281 Wed Jul 13 11:57:08 2016 4 relations: 464456 Wed Jul 13 11:57:08 2016 5 relations: 498997 Wed Jul 13 11:57:08 2016 6 relations: 508236 Wed Jul 13 11:57:08 2016 7 relations: 504131 Wed Jul 13 11:57:08 2016 8 relations: 484181 Wed Jul 13 11:57:08 2016 9 relations: 453099 Wed Jul 13 11:57:08 2016 10+ relations: 2548123 Wed Jul 13 11:57:08 2016 heaviest cycle: 28 relations Wed Jul 13 11:57:17 2016 RelProcTime: 6343 Wed Jul 13 11:57:17 2016 Wed Jul 13 11:57:17 2016 commencing linear algebra Wed Jul 13 11:57:18 2016 read 6434327 cycles Wed Jul 13 11:57:31 2016 cycles contain 20799405 unique relations Wed Jul 13 12:01:17 2016 read 20799405 relations Wed Jul 13 12:01:46 2016 using 20 quadratic characters above 4294917295 Wed Jul 13 12:03:01 2016 building initial matrix Wed Jul 13 12:06:58 2016 memory use: 2665.3 MB Wed Jul 13 12:07:04 2016 read 6434327 cycles Wed Jul 13 12:07:05 2016 matrix is 6434150 x 6434327 (2975.1 MB) with weight 857626355 (133.29/col) Wed Jul 13 12:07:05 2016 sparse part has weight 715566922 (111.21/col) Wed Jul 13 12:08:02 2016 filtering completed in 2 passes Wed Jul 13 12:08:03 2016 matrix is 6434018 x 6434195 (2975.1 MB) with weight 857621161 (133.29/col) Wed Jul 13 12:08:03 2016 sparse part has weight 715564923 (111.21/col) Wed Jul 13 12:08:23 2016 matrix starts at (0, 0) Wed Jul 13 12:08:24 2016 matrix is 6434018 x 6434195 (2975.1 MB) with weight 857621161 (133.29/col) Wed Jul 13 12:08:24 2016 sparse part has weight 715564923 (111.21/col) Wed Jul 13 12:08:24 2016 saving the first 48 matrix rows for later Wed Jul 13 12:08:25 2016 matrix includes 64 packed rows Wed Jul 13 12:08:25 2016 matrix is 6433970 x 6434195 (2866.2 MB) with weight 731914996 (113.75/col) Wed Jul 13 12:08:25 2016 sparse part has weight 687013205 (106.78/col) Wed Jul 13 12:08:25 2016 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB Wed Jul 13 12:08:57 2016 commencing Lanczos iteration (4 threads) Wed Jul 13 12:08:57 2016 memory use: 2432.7 MB Wed Jul 13 12:09:20 2016 linear algebra at 0.0%, ETA 25h56m Wed Jul 13 12:09:27 2016 checkpointing every 260000 dimensions Thu Jul 14 14:30:41 2016 lanczos halted after 101746 iterations (dim = 6433966) Thu Jul 14 14:30:52 2016 recovered 36 nontrivial dependencies Thu Jul 14 14:30:53 2016 BLanczosTime: 95616 Thu Jul 14 14:30:53 2016 Thu Jul 14 14:30:53 2016 commencing square root phase Thu Jul 14 14:30:53 2016 handling dependencies 1 to 64 Thu Jul 14 14:30:53 2016 reading relations for dependency 1 Thu Jul 14 14:30:56 2016 read 3218526 cycles Thu Jul 14 14:31:01 2016 cycles contain 10398932 unique relations Thu Jul 14 14:34:08 2016 read 10398932 relations Thu Jul 14 14:34:46 2016 multiplying 10398932 relations Thu Jul 14 14:39:47 2016 multiply complete, coefficients have about 260.61 million bits Thu Jul 14 14:39:48 2016 warning: no irreducible prime found, switching to small primes Thu Jul 14 14:39:48 2016 initial square root is modulo 53 Thu Jul 14 14:47:55 2016 GCD is 1, no factor found Thu Jul 14 14:47:55 2016 reading relations for dependency 2 Thu Jul 14 14:47:58 2016 read 3216358 cycles Thu Jul 14 14:48:04 2016 cycles contain 10398066 unique relations Thu Jul 14 14:51:11 2016 read 10398066 relations Thu Jul 14 14:51:51 2016 multiplying 10398066 relations Thu Jul 14 14:56:51 2016 multiply complete, coefficients have about 260.58 million bits Thu Jul 14 14:56:52 2016 warning: no irreducible prime found, switching to small primes Thu Jul 14 14:56:52 2016 initial square root is modulo 53 Thu Jul 14 15:04:58 2016 Newton iteration failed to converge Thu Jul 14 15:04:58 2016 algebraic square root failed Thu Jul 14 15:04:58 2016 reading relations for dependency 3 Thu Jul 14 15:05:01 2016 read 3217129 cycles Thu Jul 14 15:05:06 2016 cycles contain 10399562 unique relations Thu Jul 14 15:08:17 2016 read 10399562 relations Thu Jul 14 15:08:56 2016 multiplying 10399562 relations Thu Jul 14 15:13:57 2016 multiply complete, coefficients have about 260.63 million bits Thu Jul 14 15:13:58 2016 warning: no irreducible prime found, switching to small primes Thu Jul 14 15:13:58 2016 initial square root is modulo 53 Thu Jul 14 15:22:05 2016 found factor: 35231433735468785592857312672895419335794060023406392083 Thu Jul 14 15:22:05 2016 reading relations for dependency 4 Thu Jul 14 15:22:07 2016 read 3216196 cycles Thu Jul 14 15:22:13 2016 cycles contain 10397164 unique relations Thu Jul 14 15:25:20 2016 read 10397164 relations Thu Jul 14 15:26:00 2016 multiplying 10397164 relations Thu Jul 14 15:31:00 2016 multiply complete, coefficients have about 260.57 million bits Thu Jul 14 15:31:01 2016 warning: no irreducible prime found, switching to small primes Thu Jul 14 15:31:01 2016 initial square root is modulo 53 Thu Jul 14 15:39:07 2016 found factor: 35231433735468785592857312672895419335794060023406392083 Thu Jul 14 15:39:07 2016 reading relations for dependency 5 Thu Jul 14 15:39:10 2016 read 3217419 cycles Thu Jul 14 15:39:16 2016 cycles contain 10399892 unique relations Thu Jul 14 15:42:23 2016 read 10399892 relations Thu Jul 14 15:43:00 2016 multiplying 10399892 relations Thu Jul 14 15:48:02 2016 multiply complete, coefficients have about 260.63 million bits Thu Jul 14 15:48:03 2016 warning: no irreducible prime found, switching to small primes Thu Jul 14 15:48:03 2016 initial square root is modulo 53 Thu Jul 14 15:56:09 2016 Newton iteration failed to converge Thu Jul 14 15:56:09 2016 algebraic square root failed Thu Jul 14 15:56:09 2016 reading relations for dependency 6 Thu Jul 14 15:56:12 2016 read 3218559 cycles Thu Jul 14 15:56:17 2016 cycles contain 10402382 unique relations Thu Jul 14 15:59:25 2016 read 10402382 relations Thu Jul 14 16:00:02 2016 multiplying 10402382 relations Thu Jul 14 16:05:03 2016 multiply complete, coefficients have about 260.69 million bits Thu Jul 14 16:05:04 2016 warning: no irreducible prime found, switching to small primes Thu Jul 14 16:05:04 2016 initial square root is modulo 53 Thu Jul 14 16:13:10 2016 Newton iteration failed to converge Thu Jul 14 16:13:10 2016 algebraic square root failed Thu Jul 14 16:13:10 2016 reading relations for dependency 7 Thu Jul 14 16:13:13 2016 read 3218788 cycles Thu Jul 14 16:13:18 2016 cycles contain 10400020 unique relations Thu Jul 14 16:16:25 2016 read 10400020 relations Thu Jul 14 16:17:03 2016 multiplying 10400020 relations Thu Jul 14 16:22:04 2016 multiply complete, coefficients have about 260.63 million bits Thu Jul 14 16:22:05 2016 warning: no irreducible prime found, switching to small primes Thu Jul 14 16:22:05 2016 initial square root is modulo 53 Thu Jul 14 16:30:10 2016 Newton iteration failed to converge Thu Jul 14 16:30:10 2016 algebraic square root failed Thu Jul 14 16:30:10 2016 reading relations for dependency 8 Thu Jul 14 16:30:13 2016 read 3217805 cycles Thu Jul 14 16:30:19 2016 cycles contain 10404650 unique relations Thu Jul 14 16:33:26 2016 read 10404650 relations Thu Jul 14 16:34:03 2016 multiplying 10404650 relations Thu Jul 14 16:39:05 2016 multiply complete, coefficients have about 260.75 million bits Thu Jul 14 16:39:06 2016 warning: no irreducible prime found, switching to small primes Thu Jul 14 16:39:06 2016 initial square root is modulo 53 Thu Jul 14 16:47:12 2016 sqrtTime: 8179 Thu Jul 14 16:47:12 2016 p56 factor: 35231433735468785592857312672895419335794060023406392083 Thu Jul 14 16:47:12 2016 p79 factor: 5923396417111037047160456096766421509450916715042265564225690708028497451059859 Thu Jul 14 16:47:12 2016 p88 factor: 7521359021229631714662575793468665860401601125274026503256364387409199541291496158366243 Thu Jul 14 16:47:12 2016 elapsed time 30:35:40