*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[142, 137, 131, 124, 123, 122, 100, 97, 96, 92, 87, 80, 78, 76, 74, 69, 65, 63, 58, 53, 52, 44, 40, 39, 36, 33, 32, 30, 29, 28, 26, 25, 24, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]
[1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 2, 2, 5, 4, 2, 2, 8, 5, 5, 3, 5, 10, 20, 19, 25, 46, 92, 186, 1497, 1271, 1557]
-----------------------------------------------------------------------------
Obtained the variable cliques in 2.80197488 seconds. The maximal size of cliques is 142.
Assembling the SDP...
There are 28349 affine constraints.
SDP assembling time: 3.273911295 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 28349           
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 5818            
  Matrix variables       : 4810 (scalarized: 168300)
  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: 0.01    
GP based matrix reordering started.
GP based matrix reordering terminated.
Optimizer  - threads                : 56              
Optimizer  - solved problem         : the primal      
Optimizer  - Constraints            : 28349           
Optimizer  - Cones                  : 1558            
Optimizer  - Scalar variables       : 9673              conic                  : 4673            
Optimizer  - Semi-definite variables: 3253              scalarized             : 163629          
Factor     - setup time             : 11.23           
Factor     - dense det. time        : 0.00              GP order time          : 3.60            
Factor     - nonzeros before factor : 7.19e+07          after factor           : 8.24e+07        
Factor     - dense dim.             : 0                 flops                  : 6.55e+11        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   1.5e+04  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  11.37 
1   7.2e+03  4.9e-01  5.6e-01  -9.67e-01  -7.741741414e+01  -7.798447686e+01  4.9e-01  14.39 
2   6.0e+03  4.1e-01  7.9e-02  9.82e-01   -4.917058294e+02  -4.913817980e+02  4.1e-01  16.54 
3   5.9e+02  4.0e-02  2.4e-03  4.58e-01   -8.922951228e+02  -8.922606880e+02  4.0e-02  19.21 
4   1.4e+02  9.5e-03  6.2e-04  1.01e+00   -9.650591350e+02  -9.650542637e+02  9.5e-03  21.39 
5   7.6e+01  5.2e-03  2.7e-04  1.01e+00   -9.776372195e+02  -9.776349793e+02  5.2e-03  23.43 
6   3.1e+01  2.1e-03  7.8e-05  1.01e+00   -9.850004318e+02  -9.849997227e+02  2.1e-03  25.63 
7   5.0e+00  3.4e-04  5.9e-06  1.00e+00   -9.889825561e+02  -9.889825294e+02  3.4e-04  28.25 
8   4.1e+00  2.8e-04  4.4e-06  1.00e+00   -9.891069026e+02  -9.891068812e+02  2.8e-04  30.31 
9   7.8e-01  5.3e-05  3.6e-07  1.00e+00   -9.895566476e+02  -9.895566435e+02  5.3e-05  33.02 
10  1.1e-01  7.5e-06  1.9e-08  1.00e+00   -9.896401556e+02  -9.896401551e+02  7.5e-06  35.63 
11  1.1e-01  7.3e-06  1.9e-08  1.00e+00   -9.896404229e+02  -9.896404224e+02  7.3e-06  37.68 
12  7.7e-02  5.2e-06  1.1e-08  1.00e+00   -9.896441413e+02  -9.896441410e+02  5.2e-06  39.74 
13  1.1e-02  7.7e-07  6.4e-10  1.00e+00   -9.896519591e+02  -9.896519591e+02  7.7e-07  42.29 
14  3.9e-03  2.7e-07  1.3e-10  1.00e+00   -9.896528162e+02  -9.896528162e+02  2.7e-07  44.69 
15  5.2e-04  3.6e-08  6.3e-12  1.00e+00   -9.896532126e+02  -9.896532126e+02  3.5e-08  47.07 
16  7.3e-05  6.7e-09  3.3e-13  1.00e+00   -9.896532669e+02  -9.896532669e+02  4.9e-09  49.43 
17  1.1e-05  1.2e-08  1.9e-14  1.00e+00   -9.896532742e+02  -9.896532742e+02  7.2e-10  51.62 
18  2.1e-07  1.4e-07  9.2e-18  1.00e+00   -9.896532754e+02  -9.896532754e+02  1.4e-11  54.29 
19  1.4e-07  1.4e-06  2.6e-17  1.00e+00   -9.896532754e+02  -9.896532754e+02  9.5e-12  61.73 
20  1.6e-08  8.4e-06  6.9e-18  1.00e+00   -9.896532754e+02  -9.896532754e+02  1.1e-12  64.22 
Optimizer terminated. Time: 64.26   

SDP solving time: 84.258399781 seconds.
optimum = -989.6532754494826
