*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[89, 88, 79, 78, 77, 68, 57, 55, 46, 45, 11, 9, 8, 7, 6, 5, 4, 3, 2, 1]
[1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 100, 1, 1, 5, 14, 50, 93, 135, 136, 65]
-----------------------------------------------------------------------------
Obtained the variable cliques in 0.795864235 seconds. The maximal size of cliques is 89.
Assembling the SDP...
There are 7789 affine constraints.
SDP assembling time: 3.149197357 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 7789            
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 1301            
  Matrix variables       : 612 (scalarized: 40952)
  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                   : 0.00            
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: 0.00    
GP based matrix reordering started.
GP based matrix reordering terminated.
Optimizer  - threads                : 56              
Optimizer  - solved problem         : the primal      
Optimizer  - Constraints            : 7789            
Optimizer  - Cones                  : 66              
Optimizer  - Scalar variables       : 1497              conic                  : 197             
Optimizer  - Semi-definite variables: 547               scalarized             : 40757           
Factor     - setup time             : 2.18            
Factor     - dense det. time        : 0.56              GP order time          : 0.79            
Factor     - nonzeros before factor : 9.70e+06          after factor           : 1.14e+07        
Factor     - dense dim.             : 0                 flops                  : 3.18e+10        
Factor     - GP saved nzs           : 7.31e+05          GP saved flops         : 4.15e+09        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   2.2e+02  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  2.22  
1   1.5e+02  6.9e-01  7.7e-01  -2.42e-01  -9.997491741e-02  -3.791646357e-01  6.9e-01  2.76  
2   2.6e+01  1.2e-01  7.7e-02  -1.88e-01  -2.234351753e+00  -2.398944247e+00  1.2e-01  3.43  
3   1.7e+01  7.7e-02  2.3e-02  1.06e+00   -1.501950859e+01  -1.498917680e+01  7.7e-02  3.86  
4   1.1e+01  5.2e-02  1.6e-02  6.10e-01   -2.635901599e+01  -2.635438166e+01  5.2e-02  4.29  
5   1.1e+00  5.0e-03  3.2e-04  1.19e+00   -5.621665933e+01  -5.621270460e+01  5.0e-03  4.96  
6   6.4e-01  2.9e-03  1.7e-04  1.05e+00   -6.774045084e+01  -6.773890774e+01  2.9e-03  5.38  
7   2.7e-01  1.2e-03  5.4e-05  1.04e+00   -7.532418419e+01  -7.532402876e+01  1.2e-03  5.83  
8   7.1e-02  3.3e-04  8.2e-06  1.02e+00   -7.933752869e+01  -7.933762095e+01  3.3e-04  6.35  
9   9.9e-03  4.6e-05  4.8e-07  1.00e+00   -8.064473001e+01  -8.064476785e+01  4.6e-05  7.00  
10  3.4e-03  1.6e-05  9.9e-08  1.00e+00   -8.076890026e+01  -8.076891371e+01  1.6e-05  7.45  
11  3.3e-04  1.5e-06  2.9e-09  1.00e+00   -8.082912035e+01  -8.082912168e+01  1.5e-06  8.00  
12  2.2e-04  1.0e-06  1.6e-09  1.00e+00   -8.083115734e+01  -8.083115824e+01  1.0e-06  8.43  
13  2.0e-05  9.1e-08  4.3e-11  1.00e+00   -8.083501065e+01  -8.083501072e+01  9.1e-08  9.01  
14  3.1e-06  1.4e-08  2.7e-12  1.00e+00   -8.083532974e+01  -8.083532975e+01  1.4e-08  9.48  
15  1.2e-08  3.6e-10  6.5e-16  1.00e+00   -8.083538603e+01  -8.083538603e+01  5.8e-11  10.12 
Optimizer terminated. Time: 10.14   

SDP solving time: 12.528317703 seconds.
optimum = -80.83538602501453
