*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[200, 101]
[2, 400]
-----------------------------------------------------------------------------
Obtained the variable cliques in 51.454618024 seconds. The maximal size of cliques is 200.
Assembling the SDP...
There are 75851 affine constraints.
SDP assembling time: 5.37790879 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 75851           
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 701             
  Matrix variables       : 402 (scalarized: 2141802)
  Integer variables      : 0               

Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 0
Eliminator terminated.
Eliminator - tries                  : 1                 time                   : 0.00            
Lin. dep.  - tries                  : 1                 time                   : 0.01            
Lin. dep.  - primal attempts        : 1                 successes              : 1               
Lin. dep.  - dual attempts          : 0                 successes              : 0               
Lin. dep.  - primal deps.           : 0                 dual deps.             : 0               
Presolve terminated. Time: 0.02    
GP based matrix reordering started.
GP based matrix reordering terminated.
Optimizer  - threads                : 56              
Optimizer  - solved problem         : the primal      
Optimizer  - Constraints            : 75851           
Optimizer  - Cones                  : 1               
Optimizer  - Scalar variables       : 702               conic                  : 2               
Optimizer  - Semi-definite variables: 402               scalarized             : 2141802         
Factor     - setup time             : 169.57          
Factor     - dense det. time        : 72.00             GP order time          : 10.78           
Factor     - nonzeros before factor : 6.03e+08          after factor           : 9.10e+08        
Factor     - dense dim.             : 0                 flops                  : 1.37e+13        
Factor     - GP saved nzs           : 1.50e+07          GP saved flops         : 1.73e+11        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   4.1e+04  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  171.45
1   6.1e+03  1.5e-01  6.2e-02  -7.14e-01  -1.357394216e+01  -1.357430870e+01  1.5e-01  209.19
2   2.1e+03  5.1e-02  1.1e-02  1.17e+00   -3.140099300e+01  -3.139229587e+01  5.1e-02  245.48
3   1.1e+03  2.6e-02  4.0e-03  9.56e-01   -4.216475438e+01  -4.216120602e+01  2.6e-02  285.74
4   7.9e+02  1.9e-02  2.5e-03  9.72e-01   -4.975463770e+01  -4.975238036e+01  1.9e-02  321.55
5   7.2e+02  1.8e-02  2.2e-03  9.54e-01   -5.318526535e+01  -5.318330897e+01  1.8e-02  348.88
6   6.5e+02  1.6e-02  1.9e-03  9.46e-01   -5.721976487e+01  -5.721809797e+01  1.6e-02  376.49
7   5.9e+02  1.4e-02  1.7e-03  9.42e-01   -6.014427124e+01  -6.014285002e+01  1.4e-02  404.24
8   5.4e+02  1.3e-02  1.5e-03  9.44e-01   -6.245505237e+01  -6.245381148e+01  1.3e-02  431.78
9   5.0e+02  1.2e-02  1.3e-03  9.44e-01   -6.442822368e+01  -6.442712980e+01  1.2e-02  459.53
10  4.5e+02  1.1e-02  1.1e-03  9.57e-01   -6.460024115e+01  -6.459926803e+01  1.1e-02  486.46
11  2.1e+02  5.0e-03  3.5e-04  9.69e-01   -6.857383345e+01  -6.857349865e+01  5.0e-03  518.16
12  8.4e+01  2.1e-03  9.4e-05  9.91e-01   -7.205744133e+01  -7.205736248e+01  2.1e-03  548.79
13  6.0e+01  1.5e-03  5.7e-05  9.97e-01   -7.354610223e+01  -7.354605911e+01  1.5e-03  579.02
14  4.3e+01  1.1e-03  3.5e-05  9.98e-01   -7.483724915e+01  -7.483722727e+01  1.1e-03  609.30
15  2.7e+01  6.7e-04  1.8e-05  9.98e-01   -7.643021062e+01  -7.643020354e+01  6.7e-04  639.65
16  2.1e+01  5.2e-04  1.2e-05  9.97e-01   -7.715640176e+01  -7.715639903e+01  5.2e-04  670.27
17  6.1e+00  1.5e-04  1.9e-06  9.96e-01   -7.923047377e+01  -7.923047393e+01  1.5e-04  703.54
18  3.4e+00  8.4e-05  8.0e-07  9.91e-01   -7.980001651e+01  -7.980001762e+01  8.4e-05  734.10
19  1.3e+00  3.3e-05  2.0e-07  9.93e-01   -8.026551722e+01  -8.026551824e+01  3.3e-05  765.19
20  4.1e-01  1.0e-05  3.4e-08  9.95e-01   -8.048306440e+01  -8.048306490e+01  1.0e-05  801.99
21  3.0e-01  7.3e-06  2.1e-08  9.91e-01   -8.051170995e+01  -8.051171033e+01  7.3e-06  832.92
22  1.6e-01  4.0e-06  8.5e-09  9.91e-01   -8.054566683e+01  -8.054566707e+01  4.0e-06  863.40
23  9.7e-02  2.4e-06  3.9e-09  9.93e-01   -8.056267654e+01  -8.056267669e+01  2.4e-06  893.09
24  6.4e-02  1.6e-06  2.1e-09  9.92e-01   -8.057147813e+01  -8.057147823e+01  1.6e-06  923.53
25  3.5e-02  8.6e-07  8.6e-10  9.95e-01   -8.057920114e+01  -8.057920120e+01  8.6e-07  953.39
26  2.8e-02  6.9e-07  6.1e-10  9.96e-01   -8.058121643e+01  -8.058121648e+01  6.9e-07  982.80
27  2.3e-02  5.7e-07  4.6e-10  9.96e-01   -8.058259332e+01  -8.058259337e+01  5.7e-07  1012.50
28  1.5e-02  3.7e-07  2.5e-10  9.97e-01   -8.058499830e+01  -8.058499833e+01  3.7e-07  1044.55
29  1.1e-02  2.7e-07  1.5e-10  9.98e-01   -8.058631883e+01  -8.058631885e+01  2.7e-07  1074.21
30  9.4e-03  2.3e-07  1.2e-10  9.98e-01   -8.058697544e+01  -8.058697546e+01  2.3e-07  1103.50
31  5.4e-03  1.3e-07  5.1e-11  9.98e-01   -8.058843623e+01  -8.058843624e+01  1.3e-07  1134.16
32  3.6e-03  8.9e-08  2.9e-11  9.99e-01   -8.058925282e+01  -8.058925283e+01  8.9e-08  1163.86
33  2.5e-03  6.2e-08  1.7e-11  9.99e-01   -8.058979048e+01  -8.058979048e+01  6.2e-08  1193.22
34  1.9e-03  4.8e-08  1.1e-11  9.99e-01   -8.059013668e+01  -8.059013668e+01  4.7e-08  1222.53
35  9.4e-04  2.3e-08  3.8e-12  9.98e-01   -8.059075438e+01  -8.059075438e+01  2.3e-08  1253.19
36  7.1e-04  1.8e-08  2.5e-12  9.98e-01   -8.059092932e+01  -8.059092932e+01  1.8e-08  1281.94
37  3.2e-04  9.8e-09  7.4e-13  9.47e-01   -8.059122562e+01  -8.059122562e+01  7.6e-09  1309.54
38  1.7e-04  6.2e-09  2.8e-13  1.01e+00   -8.059136527e+01  -8.059136527e+01  4.0e-09  1336.84
39  7.9e-05  5.3e-09  9.1e-14  1.00e+00   -8.059145009e+01  -8.059145009e+01  1.9e-09  1364.22
40  5.5e-05  9.8e-09  5.3e-14  1.00e+00   -8.059147391e+01  -8.059147391e+01  1.3e-09  1391.44
41  1.9e-05  1.6e-08  1.1e-14  1.00e+00   -8.059151049e+01  -8.059151049e+01  4.7e-10  1418.66
42  5.2e-06  1.5e-07  1.6e-15  1.00e+00   -8.059152580e+01  -8.059152580e+01  1.3e-10  1447.67
43  2.6e-07  2.2e-07  1.7e-17  1.00e+00   -8.059153161e+01  -8.059153161e+01  6.3e-12  1480.83
44  9.8e-10  4.5e-06  3.9e-21  1.00e+00   -8.059153192e+01  -8.059153192e+01  2.4e-14  1514.72
Optimizer terminated. Time: 1515.07 

SDP solving time: 1523.924590618 seconds.
optimum = -80.59153192044592
