*********************************** 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 0.75840427 seconds. The maximal size of cliques is 87.
Assembling the SDP...
There are 8833 affine constraints.
SDP assembling time: 3.100707211 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       : 1801            
  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       : 2879              conic                  : 1079            
Optimizer  - Semi-definite variables: 755               scalarized             : 48227           
Factor     - setup time             : 2.31            
Factor     - dense det. time        : 0.67              GP order time          : 0.86            
Factor     - nonzeros before factor : 9.52e+06          after factor           : 1.01e+07        
Factor     - dense dim.             : 0                 flops                  : 2.66e+10        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   2.6e+02  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  2.36  
1   1.7e+02  6.6e-01  6.1e-01  -3.92e-02  8.408969931e-02   1.242412937e-02   6.6e-01  2.90  
2   6.6e+01  2.6e-01  2.3e-01  -1.03e-01  -6.960842996e-01  -9.999132089e-01  2.6e-01  3.38  
3   3.3e+01  1.3e-01  2.2e-02  3.12e-01   -7.762938248e+00  -7.607209053e+00  1.3e-01  3.79  
4   5.1e+00  2.0e-02  3.5e-03  4.71e-01   -3.269121666e+01  -3.269188957e+01  2.0e-02  4.34  
5   1.5e+00  5.9e-03  5.9e-04  9.95e-01   -6.227180944e+01  -6.227292310e+01  5.9e-03  4.83  
6   5.7e-01  2.2e-03  1.4e-04  1.02e+00   -7.305319566e+01  -7.305381873e+01  2.2e-03  5.28  
7   2.1e-01  8.1e-04  3.1e-05  1.01e+00   -7.804460582e+01  -7.804488542e+01  8.1e-04  5.72  
8   3.4e-02  1.3e-04  2.1e-06  1.00e+00   -8.061242397e+01  -8.061249642e+01  1.3e-04  6.33  
9   1.9e-02  7.3e-05  8.8e-07  1.00e+00   -8.084897295e+01  -8.084901445e+01  7.3e-05  6.73  
10  1.3e-03  5.1e-06  1.6e-08  1.00e+00   -8.111684148e+01  -8.111684412e+01  5.1e-06  7.35  
11  7.4e-04  2.9e-06  6.9e-09  1.00e+00   -8.112429818e+01  -8.112429974e+01  2.9e-06  7.74  
12  2.6e-05  1.0e-07  4.7e-11  1.00e+00   -8.113404960e+01  -8.113404966e+01  1.0e-07  8.36  
13  1.5e-05  5.9e-08  2.1e-11  1.00e+00   -8.113419565e+01  -8.113419568e+01  5.9e-08  8.75  
14  2.2e-06  8.6e-09  1.1e-12  1.00e+00   -8.113437110e+01  -8.113437110e+01  8.5e-09  9.23  
15  4.2e-08  8.6e-10  3.0e-15  1.00e+00   -8.113440112e+01  -8.113440112e+01  1.6e-10  9.75  
16  4.7e-11  4.2e-08  9.1e-20  1.00e+00   -8.113440170e+01  -8.113440170e+01  1.8e-13  10.40 
Optimizer terminated. Time: 10.41   

SDP solving time: 13.440785951 seconds.
optimum = -81.13440170056441
