*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[87, 84, 80, 78, 75, 74, 72, 58, 48, 47, 46, 40, 37, 35, 30, 26, 25, 18, 11, 10, 6, 5, 4, 3, 2, 1]
[2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 94, 1, 3, 12, 66, 179, 381, 359]
-----------------------------------------------------------------------------
Obtained the variable cliques in 0.742258415 seconds. The maximal size of cliques is 87.
Assembling the SDP...
There are 8833 affine constraints.
SDP assembling time: 3.167181537 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 8833            
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 1201            
  Matrix variables       : 1114 (scalarized: 49304)
  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            : 8833            
Optimizer  - Cones                  : 360             
Optimizer  - Scalar variables       : 2279              conic                  : 1079            
Optimizer  - Semi-definite variables: 755               scalarized             : 48227           
Factor     - setup time             : 2.21            
Factor     - dense det. time        : 0.55              GP order time          : 0.87            
Factor     - nonzeros before factor : 9.50e+06          after factor           : 9.92e+06        
Factor     - dense dim.             : 0                 flops                  : 2.65e+10        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   4.1e+03  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  2.25  
1   9.4e+02  2.3e-01  1.1e-01  -7.90e-01  -2.904734722e+01  -2.903364832e+01  2.3e-01  3.02  
2   4.8e+02  1.2e-01  3.3e-02  1.20e+00   -6.337824398e+01  -6.335070388e+01  1.2e-01  3.44  
3   2.8e+02  6.9e-02  1.5e-02  9.12e-01   -7.168685649e+01  -7.167060171e+01  6.9e-02  3.89  
4   4.0e+01  9.7e-03  8.6e-04  9.74e-01   -8.560416811e+01  -8.560303860e+01  9.7e-03  4.44  
5   3.0e+01  7.3e-03  5.6e-04  1.01e+00   -8.842771277e+01  -8.842690722e+01  7.3e-03  4.85  
6   1.1e+01  2.7e-03  1.2e-04  1.01e+00   -9.156178657e+01  -9.156144789e+01  2.7e-03  5.33  
7   4.6e+00  1.1e-03  3.3e-05  9.98e-01   -9.325797371e+01  -9.325783677e+01  1.1e-03  5.76  
8   7.5e-01  1.8e-04  2.2e-06  9.95e-01   -9.445691721e+01  -9.445689241e+01  1.8e-04  6.39  
9   1.1e-01  2.8e-05  1.3e-07  9.97e-01   -9.469177864e+01  -9.469177589e+01  2.8e-05  6.93  
10  5.3e-02  1.3e-05  4.3e-08  9.99e-01   -9.471132938e+01  -9.471132818e+01  1.3e-05  7.34  
11  4.3e-03  1.1e-06  1.0e-09  1.00e+00   -9.472753111e+01  -9.472753103e+01  1.1e-06  7.86  
12  6.0e-04  1.5e-07  5.2e-11  1.00e+00   -9.472870372e+01  -9.472870371e+01  1.5e-07  8.27  
13  1.2e-06  8.2e-10  3.7e-15  1.00e+00   -9.472890172e+01  -9.472890172e+01  2.9e-10  8.90  
14  2.7e-09  2.6e-07  3.3e-19  1.00e+00   -9.472890220e+01  -9.472890220e+01  6.5e-13  9.53  
Optimizer terminated. Time: 9.54    

SDP solving time: 12.553026154 seconds.
optimum = -94.72890220082611
