*********************************** 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 0.788920392 seconds. The maximal size of cliques is 89.
Assembling the SDP...
There are 7789 affine constraints.
SDP assembling time: 3.345147056 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       : 701             
  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       : 897               conic                  : 197             
Optimizer  - Semi-definite variables: 547               scalarized             : 40757           
Factor     - setup time             : 1.96            
Factor     - dense det. time        : 0.54              GP order time          : 0.64            
Factor     - nonzeros before factor : 9.69e+06          after factor           : 1.15e+07        
Factor     - dense dim.             : 0                 flops                  : 3.48e+10        
Factor     - GP saved nzs           : 2.58e+05          GP saved flops         : 7.34e+08        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   3.5e+03  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  2.00  
1   7.9e+02  2.3e-01  1.1e-01  -7.04e-01  -2.970293713e+01  -2.969159785e+01  2.3e-01  2.75  
2   3.9e+02  1.1e-01  3.2e-02  1.20e+00   -6.264083069e+01  -6.261466534e+01  1.1e-01  3.19  
3   7.3e+01  2.1e-02  2.7e-03  9.07e-01   -8.070885906e+01  -8.070558470e+01  2.1e-02  3.81  
4   3.3e+01  9.4e-03  8.3e-04  1.03e+00   -8.700227184e+01  -8.700099946e+01  9.4e-03  4.28  
5   7.1e+00  2.0e-03  8.2e-05  1.01e+00   -9.175284611e+01  -9.175252038e+01  2.0e-03  4.80  
6   3.5e+00  1.0e-03  2.9e-05  9.94e-01   -9.318941473e+01  -9.318927971e+01  1.0e-03  5.22  
7   1.2e+00  3.5e-04  6.2e-06  9.95e-01   -9.408233428e+01  -9.408229770e+01  3.5e-04  5.66  
8   4.8e-01  1.4e-04  1.6e-06  9.96e-01   -9.439123358e+01  -9.439122259e+01  1.4e-04  6.05  
9   3.6e-02  1.1e-05  3.1e-08  9.98e-01   -9.457286809e+01  -9.457286677e+01  1.1e-05  6.63  
10  2.9e-02  8.4e-06  2.2e-08  9.99e-01   -9.457578834e+01  -9.457578735e+01  8.4e-06  7.06  
11  4.3e-03  1.2e-06  1.3e-09  9.99e-01   -9.458519709e+01  -9.458519699e+01  1.2e-06  7.62  
12  3.0e-03  8.7e-07  7.6e-10  1.00e+00   -9.458569850e+01  -9.458569843e+01  8.7e-07  8.03  
13  3.9e-04  1.1e-07  3.6e-11  1.00e+00   -9.458670187e+01  -9.458670187e+01  1.1e-07  8.58  
14  2.4e-04  6.9e-08  1.8e-11  1.00e+00   -9.458675696e+01  -9.458675696e+01  6.9e-08  9.01  
15  3.0e-05  8.9e-09  7.6e-13  1.00e+00   -9.458683624e+01  -9.458683623e+01  8.6e-09  9.58  
16  2.6e-05  8.1e-09  6.2e-13  1.00e+00   -9.458683767e+01  -9.458683767e+01  7.5e-09  9.97  
17  3.8e-06  8.1e-09  3.5e-14  1.00e+00   -9.458684604e+01  -9.458684604e+01  1.1e-09  10.49 
18  2.9e-06  1.2e-08  2.3e-14  1.00e+00   -9.458684640e+01  -9.458684640e+01  8.3e-10  10.89 
19  3.6e-07  7.5e-08  1.0e-15  1.00e+00   -9.458684739e+01  -9.458684739e+01  1.0e-10  11.52 
20  2.7e-07  1.4e-07  6.7e-16  1.00e+00   -9.458684743e+01  -9.458684743e+01  7.8e-11  11.95 
21  2.8e-08  5.1e-07  2.3e-17  1.00e+00   -9.458684753e+01  -9.458684753e+01  8.2e-12  12.52 
Optimizer terminated. Time: 12.53   

SDP solving time: 14.902021477 seconds.
optimum = -94.5868475303437
