20200122, 21:17  #474 
"Daniel Jackson"
May 2011
14285714285714285714
601 Posts 
Bug, or extra difficult C32?
Code:
[redacted]>yafu 35189596991651349423592303646371 01/22/20 16:09:52 v1.35beta @ PC, System/Build Info: Using GMPECM 7.0.4, Powered by GMP 6.1.2 detected Intel(R) Core(TM) i57200U CPU @ 2.50GHz detected L1 = 32768 bytes, L2 = 3145728 bytes, CL = 64 bytes measured cpu frequency ~= 2713.790970 using 1 random witnesses for RabinMiller PRP checks =============================================================== ======= Welcome to YAFU (Yet Another Factoring Utility) ======= ======= bbuhrow@gmail.com ======= ======= Type help at any time, or quit to quit ======= =============================================================== cached 78498 primes. pmax = 999983 >> fac: factoring 35189596991651349423592303646371 fac: using pretesting plan: normal fac: using tune info for qs/gnfs crossover input from file = 2796044857275887821399497502568105270613421180922414012239946414416977541361 input to yafu = 35189596991651349423592303646371 input from file = 1232303098349565488323549547654987653712936781422417554389046984422399307445611657870694737242026156670443188757334873375979 input to yafu = 35189596991651349423592303646371 div: primes less than 10000 fmt: 1000000 iterations 93%rho: x^2 + 3, starting 1000 iterations on C32 rho: x^2 + 2, starting 1000 iterations on C32 rho: x^2 + 1, starting 1000 iterations on C32 fac: trivial ECM work to do... skipping to sieve method fac: QS time estimation from tune data = 0.00 sec fac: GNFS time estimation from tune data = 2.46 sec n = 35189596991651349423592303646371 (32 digits and 105 bits) ==== sieve params ==== factor base: 200 primes (max prime = 2803) large prime cutoff: 140150 (50 * pmax) sieve interval: 1 blocks of size 16384 multiplier is 1 trial factoring cutoff at 42 bits ==== sieving in progress ==== 0 relations found: 0 full + 0 from 0 partial, using 2048 polys QS elapsed time = 0.2451 seconds. rho: x^2 + 3, starting 2000 iterations on C32 rho: x^2 + 2, starting 2000 iterations on C32 rho: x^2 + 1, starting 2000 iterations on C32 rho: x^2 + 3, starting 4000 iterations on C32 rho: x^2 + 2, starting 4000 iterations on C32 rho: x^2 + 1, starting 4000 iterations on C32 rho: x^2 + 3, starting 8000 iterations on C32 rho: x^2 + 2, starting 8000 iterations on C32 rho: x^2 + 1, starting 8000 iterations on C32 rho: x^2 + 3, starting 16000 iterations on C32 rho: x^2 + 2, starting 16000 iterations on C32 rho: x^2 + 1, starting 16000 iterations on C32 rho: x^2 + 3, starting 32000 iterations on C32 rho: x^2 + 2, starting 32000 iterations on C32 rho: x^2 + 1, starting 32000 iterations on C32 rho: x^2 + 3, starting 64000 iterations on C32 rho: x^2 + 2, starting 64000 iterations on C32 rho: x^2 + 1, starting 64000 iterations on C32 rho: x^2 + 3, starting 128000 iterations on C32 rho: x^2 + 2, starting 128000 iterations on C32 rho: found prp16 factor = 4500717012380129 pretesting / qs ratio was 0.01 Total factoring time = 33.6523 seconds ***factors found*** P16 = 4500717012380129 P16 = 7818664647178499 ans = 1 Number is from this Aliquot sequence. I noticed that YAFU was getting stuck, so I ran it by itself, and got the above output. Last fiddled with by Stargate38 on 20200122 at 21:33 Reason: fix link 
20200122, 21:54  #475  
"Ben"
Feb 2007
2·5·7·47 Posts 
Quote:
I can confirm that it doesn't work in the current wip version of yafu. Looks like it fails both the tiny_siqs and smallmpqs routines. Once it fails like this, aliqueit goes into an infinite loop of increasing rho until it succeeds, which is why it took so long. I will look into it. 

20200215, 14:55  #476 
Nov 2008
912_{16} Posts 
Don't think this one's turned up before:
Code:
02/15/20 06:53:28 v1.35beta @ BLACKBOX2, 02/15/20 06:53:28 v1.35beta @ BLACKBOX2, **************************** 02/15/20 06:53:28 v1.35beta @ BLACKBOX2, Starting factorization of 283490451127452436661826524180114011280898553856966902146606889753248396992859405461 02/15/20 06:53:28 v1.35beta @ BLACKBOX2, using pretesting plan: custom 02/15/20 06:53:28 v1.35beta @ BLACKBOX2, custom pretest ratio is: 0.3200 02/15/20 06:53:28 v1.35beta @ BLACKBOX2, using tune info for qs/gnfs crossover 02/15/20 06:53:28 v1.35beta @ BLACKBOX2, **************************** 02/15/20 06:53:28 v1.35beta @ BLACKBOX2, rho: x^2 + 3, starting 1000 iterations on C84 02/15/20 06:53:28 v1.35beta @ BLACKBOX2, rho: x^2 + 2, starting 1000 iterations on C84 02/15/20 06:53:28 v1.35beta @ BLACKBOX2, rho: x^2 + 1, starting 1000 iterations on C84 02/15/20 06:53:28 v1.35beta @ BLACKBOX2, pm1: starting B1 = 150K, B2 = gmpecm default on C84 02/15/20 06:53:28 v1.35beta @ BLACKBOX2, current ECM pretesting depth: 0.00 02/15/20 06:53:28 v1.35beta @ BLACKBOX2, scheduled 30 curves at B1=2000 toward target pretesting depth of 26.88 02/15/20 06:53:29 v1.35beta @ BLACKBOX2, Finished 30 curves using Lenstra ECM method on C84 input, B1=2k, B2=gmpecm default 02/15/20 06:53:29 v1.35beta @ BLACKBOX2, current ECM pretesting depth: 15.18 02/15/20 06:53:29 v1.35beta @ BLACKBOX2, scheduled 74 curves at B1=11000 toward target pretesting depth of 26.88 02/15/20 06:53:30 v1.35beta @ BLACKBOX2, Finished 74 curves using Lenstra ECM method on C84 input, B1=11k, B2=gmpecm default 02/15/20 06:53:30 v1.35beta @ BLACKBOX2, current ECM pretesting depth: 20.24 02/15/20 06:53:30 v1.35beta @ BLACKBOX2, scheduled 214 curves at B1=50000 toward target pretesting depth of 26.88 02/15/20 06:53:41 v1.35beta @ BLACKBOX2, Finished 214 curves using Lenstra ECM method on C84 input, B1=50k, B2=gmpecm default 02/15/20 06:53:41 v1.35beta @ BLACKBOX2, pm1: starting B1 = 3750K, B2 = gmpecm default on C84 02/15/20 06:53:42 v1.35beta @ BLACKBOX2, current ECM pretesting depth: 25.33 02/15/20 06:53:42 v1.35beta @ BLACKBOX2, scheduled 134 curves at B1=250000 toward target pretesting depth of 26.88 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, Finished 134 curves using Lenstra ECM method on C84 input, B1=250k, B2=gmpecm default 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, final ECM pretested depth: 26.89 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, scheduler: switching to sieve method 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, starting SIQS on c84: 283490451127452436661826524180114011280898553856966902146606889753248396992859405461 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, random seeds: 2046990139, 898121269 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, ==== sieve params ==== 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, n = 85 digits, 280 bits 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, factor base: 58144 primes (max prime = 1534151) 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, single large prime cutoff: 145744345 (95 * pmax) 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, double large prime range from 2353619290801 to 494840324470507 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, allocating 7 large prime slices of factor base 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, buckets hold 2048 elements 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, large prime hashtables have 1376256 bytes 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, using SSE4.1 enabled 32k sieve core 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, sieve interval: 12 blocks of size 32768 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, polynomial A has ~ 11 factors 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, using multiplier of 5 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, using SPV correction of 20 bits, starting at offset 34 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, trial factoring cutoff at 90 bits 02/15/20 06:54:05 v1.35beta @ BLACKBOX2, ==== sieving started ( 4 threads) ==== 02/15/20 06:55:52 v1.35beta @ BLACKBOX2, trial division touched 16004277 sieve locations out of 130513895424 02/15/20 06:55:52 v1.35beta @ BLACKBOX2, total reports = 16004277, total surviving reports = 7342494 02/15/20 06:55:52 v1.35beta @ BLACKBOX2, total blocks sieved = 3982968, avg surviving reports per block = 1.84 02/15/20 06:55:52 v1.35beta @ BLACKBOX2, brentrho: 12 failures, 385696 attempts, 4588609 outside range, 2123784 prp, 365793 useful 02/15/20 06:55:52 v1.35beta @ BLACKBOX2, 59371 relations found: 19817 full + 39554 from 590381 partial, using 165957 polys (442 A polys) 02/15/20 06:55:52 v1.35beta @ BLACKBOX2, on average, sieving found 3.68 rels/poly and 5685.53 rels/sec 02/15/20 06:55:52 v1.35beta @ BLACKBOX2, trial division touched 16004277 sieve locations out of 130513895424 02/15/20 06:55:52 v1.35beta @ BLACKBOX2, ==== post processing stage (msieve1.38) ==== 02/15/20 06:55:52 v1.35beta @ BLACKBOX2, QS elapsed time = 107.3248 seconds. 02/15/20 06:55:53 v1.35beta @ BLACKBOX2, begin singleton removal with 610198 relations 02/15/20 06:55:53 v1.35beta @ BLACKBOX2, reduce to 126503 relations in 10 passes 02/15/20 06:55:53 v1.35beta @ BLACKBOX2, failed to read relation 1721 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, recovered 116386 relations 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, recovered 81331 polynomials 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, attempting to build 49759 cycles 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, found 49759 cycles from 116386 relations in 4 passes 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, distribution of cycle lengths: 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, length 1 : 18164 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, length 2 : 12283 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, length 3 : 8768 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, length 4 : 5048 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, length 5 : 2813 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, length 6 : 1435 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, length 7 : 685 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, length 9+: 563 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, largest cycle: 14 relations 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, matrix is 58144 x 49759 (10.2 MB) with weight 2267696 (45.57/col) 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, sparse part has weight 2267696 (45.57/col) 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, filtering completed in 2 passes 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, matrix is 46827 x 39699 (8.7 MB) with weight 1968324 (49.58/col) 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, sparse part has weight 1968324 (49.58/col) 02/15/20 06:55:54 v1.35beta @ BLACKBOX2, matrix must have more columns than rows 02/15/20 06:55:56 v1.35beta @ BLACKBOX2, begin singleton removal with 610198 relations 02/15/20 06:55:56 v1.35beta @ BLACKBOX2, reduce to 126504 relations in 10 passes 02/15/20 06:55:56 v1.35beta @ BLACKBOX2, failed to read relation 1721 02/15/20 06:55:56 v1.35beta @ BLACKBOX2, recovered 116386 relations 02/15/20 06:55:56 v1.35beta @ BLACKBOX2, recovered 81331 polynomials 02/15/20 06:55:56 v1.35beta @ BLACKBOX2, attempting to build 49759 cycles 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, found 49759 cycles from 116386 relations in 4 passes 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, distribution of cycle lengths: 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, length 1 : 18164 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, length 2 : 12283 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, length 3 : 8768 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, length 4 : 5048 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, length 5 : 2813 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, length 6 : 1435 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, length 7 : 685 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, length 9+: 563 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, largest cycle: 14 relations 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, matrix is 58144 x 49759 (10.2 MB) with weight 2267696 (45.57/col) 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, sparse part has weight 2267696 (45.57/col) 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, filtering completed in 2 passes 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, matrix is 46827 x 39699 (8.7 MB) with weight 1968324 (49.58/col) 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, sparse part has weight 1968324 (49.58/col) 02/15/20 06:55:57 v1.35beta @ BLACKBOX2, matrix must have more columns than rows 02/15/20 06:55:58 v1.35beta @ BLACKBOX2, begin singleton removal with 610198 relations 02/15/20 06:55:58 v1.35beta @ BLACKBOX2, reduce to 126504 relations in 10 passes 02/15/20 06:55:58 v1.35beta @ BLACKBOX2, failed to read relation 1721 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, recovered 116386 relations 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, recovered 81331 polynomials 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, attempting to build 49759 cycles 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, found 49759 cycles from 116386 relations in 4 passes 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, distribution of cycle lengths: 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, length 1 : 18164 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, length 2 : 12283 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, length 3 : 8768 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, length 4 : 5048 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, length 5 : 2813 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, length 6 : 1435 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, length 7 : 685 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, length 9+: 563 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, largest cycle: 14 relations 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, matrix is 58144 x 49759 (10.2 MB) with weight 2267696 (45.57/col) 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, sparse part has weight 2267696 (45.57/col) 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, filtering completed in 2 passes 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, matrix is 46827 x 39699 (8.7 MB) with weight 1968324 (49.58/col) 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, sparse part has weight 1968324 (49.58/col) 02/15/20 06:55:59 v1.35beta @ BLACKBOX2, matrix must have more columns than rows 02/15/20 06:56:01 v1.35beta @ BLACKBOX2, begin singleton removal with 610198 relations 02/15/20 06:56:01 v1.35beta @ BLACKBOX2, reduce to 126504 relations in 10 passes 02/15/20 06:56:01 v1.35beta @ BLACKBOX2, failed to read relation 1721 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, recovered 116386 relations 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, recovered 81331 polynomials 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, attempting to build 49759 cycles 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, found 49759 cycles from 116386 relations in 4 passes 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, distribution of cycle lengths: 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, length 1 : 18164 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, length 2 : 12283 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, length 3 : 8768 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, length 4 : 5048 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, length 5 : 2813 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, length 6 : 1435 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, length 7 : 685 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, length 9+: 563 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, largest cycle: 14 relations 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, matrix is 58144 x 49759 (10.2 MB) with weight 2267696 (45.57/col) 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, sparse part has weight 2267696 (45.57/col) 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, filtering completed in 2 passes 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, matrix is 46827 x 39699 (8.7 MB) with weight 1968324 (49.58/col) 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, sparse part has weight 1968324 (49.58/col) 02/15/20 06:56:02 v1.35beta @ BLACKBOX2, matrix must have more columns than rows 02/15/20 06:56:04 v1.35beta @ BLACKBOX2, begin singleton removal with 610198 relations 02/15/20 06:56:04 v1.35beta @ BLACKBOX2, reduce to 126504 relations in 10 passes 02/15/20 06:56:04 v1.35beta @ BLACKBOX2, failed to read relation 1721 02/15/20 06:56:04 v1.35beta @ BLACKBOX2, recovered 116386 relations 02/15/20 06:56:04 v1.35beta @ BLACKBOX2, recovered 81331 polynomials 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, attempting to build 49759 cycles 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, found 49759 cycles from 116386 relations in 4 passes 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, distribution of cycle lengths: 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, length 1 : 18164 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, length 2 : 12283 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, length 3 : 8768 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, length 4 : 5048 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, length 5 : 2813 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, length 6 : 1435 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, length 7 : 685 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, length 9+: 563 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, largest cycle: 14 relations 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, matrix is 58144 x 49759 (10.2 MB) with weight 2267696 (45.57/col) 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, sparse part has weight 2267696 (45.57/col) 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, filtering completed in 2 passes 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, matrix is 46827 x 39699 (8.7 MB) with weight 1968324 (49.58/col) 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, sparse part has weight 1968324 (49.58/col) 02/15/20 06:56:05 v1.35beta @ BLACKBOX2, matrix must have more columns than rows 02/15/20 06:56:06 v1.35beta @ BLACKBOX2, begin singleton removal with 610198 relations 02/15/20 06:56:06 v1.35beta @ BLACKBOX2, reduce to 126504 relations in 10 passes 02/15/20 06:56:06 v1.35beta @ BLACKBOX2, failed to read relation 1721 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, recovered 116386 relations 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, recovered 81331 polynomials 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, attempting to build 49759 cycles 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, found 49759 cycles from 116386 relations in 4 passes 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, distribution of cycle lengths: 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, length 1 : 18164 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, length 2 : 12283 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, length 3 : 8768 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, length 4 : 5048 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, length 5 : 2813 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, length 6 : 1435 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, length 7 : 685 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, length 9+: 563 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, largest cycle: 14 relations 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, matrix is 58144 x 49759 (10.2 MB) with weight 2267696 (45.57/col) 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, sparse part has weight 2267696 (45.57/col) 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, filtering completed in 2 passes 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, matrix is 46827 x 39699 (8.7 MB) with weight 1968324 (49.58/col) 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, sparse part has weight 1968324 (49.58/col) 02/15/20 06:56:07 v1.35beta @ BLACKBOX2, matrix must have more columns than rows 02/15/20 06:56:09 v1.35beta @ BLACKBOX2, begin singleton removal with 610198 relations 02/15/20 06:56:09 v1.35beta @ BLACKBOX2, reduce to 126504 relations in 10 passes 02/15/20 06:56:09 v1.35beta @ BLACKBOX2, failed to read relation 1721 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, recovered 116386 relations 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, recovered 81331 polynomials 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, attempting to build 49759 cycles 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, found 49759 cycles from 116386 relations in 4 passes 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, distribution of cycle lengths: 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, length 1 : 18164 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, length 2 : 12283 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, length 3 : 8768 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, length 4 : 5048 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, length 5 : 2813 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, length 6 : 1435 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, length 7 : 685 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, length 9+: 563 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, largest cycle: 14 relations 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, matrix is 58144 x 49759 (10.2 MB) with weight 2267696 (45.57/col) 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, sparse part has weight 2267696 (45.57/col) 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, filtering completed in 2 passes 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, matrix is 46827 x 39699 (8.7 MB) with weight 1968324 (49.58/col) 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, sparse part has weight 1968324 (49.58/col) 02/15/20 06:56:10 v1.35beta @ BLACKBOX2, matrix must have more columns than rows 02/15/20 06:56:12 v1.35beta @ BLACKBOX2, begin singleton removal with 610198 relations 02/15/20 06:56:12 v1.35beta @ BLACKBOX2, reduce to 126504 relations in 10 passes 02/15/20 06:56:12 v1.35beta @ BLACKBOX2, failed to read relation 1721 02/15/20 06:56:12 v1.35beta @ BLACKBOX2, recovered 116386 relations 02/15/20 06:56:12 v1.35beta @ BLACKBOX2, recovered 81331 polynomials 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, attempting to build 49759 cycles 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, found 49759 cycles from 116386 relations in 4 passes 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, distribution of cycle lengths: 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, length 1 : 18164 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, length 2 : 12283 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, length 3 : 8768 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, length 4 : 5048 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, length 5 : 2813 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, length 6 : 1435 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, length 7 : 685 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, length 9+: 563 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, largest cycle: 14 relations 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, matrix is 58144 x 49759 (10.2 MB) with weight 2267696 (45.57/col) 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, sparse part has weight 2267696 (45.57/col) 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, filtering completed in 2 passes 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, matrix is 46827 x 39699 (8.7 MB) with weight 1968324 (49.58/col) 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, sparse part has weight 1968324 (49.58/col) 02/15/20 06:56:13 v1.35beta @ BLACKBOX2, matrix must have more columns than rows 02/15/20 06:56:14 v1.35beta @ BLACKBOX2, begin singleton removal with 610198 relations 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, reduce to 126504 relations in 10 passes 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, failed to read relation 1721 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, recovered 116386 relations 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, recovered 81331 polynomials 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, attempting to build 49759 cycles 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, found 49759 cycles from 116386 relations in 4 passes 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, distribution of cycle lengths: 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, length 1 : 18164 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, length 2 : 12283 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, length 3 : 8768 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, length 4 : 5048 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, length 5 : 2813 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, length 6 : 1435 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, length 7 : 685 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, length 9+: 563 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, largest cycle: 14 relations 02/15/20 06:56:15 v1.35beta @ BLACKBOX2, matrix is 58144 x 49759 (10.2 MB) with weight 2267696 (45.57/col) 02/15/20 06:56:15 v1.35 
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