*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[193, 173, 172, 156, 153, 145, 141, 140, 135, 128, 125, 111, 92, 91, 88, 77, 72, 71, 66, 64, 62, 60, 53, 49, 47, 45, 44, 43, 42, 38, 37, 36, 33, 32, 31, 28, 27, 26, 25, 24, 23, 22, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]
[1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 4, 4, 3, 2, 2, 2, 4, 2, 3, 1, 8, 11, 14, 7, 11, 15, 24, 24, 57, 101, 468, 301, 751, 937]
-----------------------------------------------------------------------------
Obtained the variable cliques in 5.283397626 seconds. The maximal size of cliques is 193.
Assembling the SDP...
There are 32065 affine constraints.
SDP assembling time: 3.318052667 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 32065           
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 3196            
  Matrix variables       : 2803 (scalarized: 238351)
  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            : 32065           
Optimizer  - Cones                  : 938             
Optimizer  - Scalar variables       : 5813              conic                  : 2813            
Optimizer  - Semi-definite variables: 1866              scalarized             : 235540          
Factor     - setup time             : 63.61           
Factor     - dense det. time        : 0.00              GP order time          : 40.18           
Factor     - nonzeros before factor : 2.01e+08          after factor           : 2.25e+08        
Factor     - dense dim.             : 0                 flops                  : 3.06e+12        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   1.2e+04  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  63.80 
1   4.7e+03  4.1e-01  4.0e-01  -1.01e+00  -6.525828549e+01  -6.567749309e+01  4.1e-01  74.33 
2   3.5e+03  3.0e-01  9.7e-02  1.19e+00   -2.802890150e+02  -2.801266809e+02  3.0e-01  84.68 
3   2.3e+02  1.9e-02  1.1e-03  6.36e-01   -4.449352085e+02  -4.449201801e+02  1.9e-02  94.65 
4   1.3e+02  1.1e-02  6.5e-04  1.02e+00   -4.677747752e+02  -4.677676106e+02  1.1e-02  101.44
5   6.0e+01  5.1e-03  2.5e-04  1.01e+00   -4.807442860e+02  -4.807416961e+02  5.1e-03  110.35
6   1.7e+01  1.4e-03  4.2e-05  1.01e+00   -4.887228107e+02  -4.887223078e+02  1.4e-03  118.55
7   5.5e+00  4.7e-04  8.5e-06  1.00e+00   -4.914794032e+02  -4.914792873e+02  4.7e-04  126.60
8   2.7e+00  2.3e-04  3.0e-06  9.99e-01   -4.922249390e+02  -4.922248913e+02  2.3e-04  133.39
9   4.5e-01  3.9e-05  2.3e-07  1.00e+00   -4.928212910e+02  -4.928212886e+02  3.9e-05  143.13
10  2.4e-01  2.1e-05  9.0e-08  1.00e+00   -4.928854943e+02  -4.928854930e+02  2.1e-05  149.94
11  3.8e-02  3.2e-06  5.5e-09  1.00e+00   -4.929445667e+02  -4.929445665e+02  3.2e-06  157.82
12  1.6e-02  1.4e-06  1.5e-09  1.00e+00   -4.929508039e+02  -4.929508039e+02  1.4e-06  164.83
13  2.3e-03  1.9e-07  8.1e-11  1.00e+00   -4.929546916e+02  -4.929546916e+02  1.9e-07  172.68
14  3.7e-04  3.2e-08  5.3e-12  1.00e+00   -4.929552113e+02  -4.929552113e+02  3.1e-08  179.79
15  2.0e-05  3.0e-09  7.0e-14  1.00e+00   -4.929553060e+02  -4.929553060e+02  1.7e-09  187.72
16  3.6e-06  2.8e-08  5.1e-15  1.00e+00   -4.929553104e+02  -4.929553104e+02  3.1e-10  195.63
17  1.2e-07  2.3e-07  3.2e-17  1.00e+00   -4.929553113e+02  -4.929553113e+02  1.0e-11  204.84
18  3.6e-09  5.8e-06  3.4e-19  1.00e+00   -4.929553114e+02  -4.929553114e+02  3.1e-13  212.85
Optimizer terminated. Time: 212.94  

SDP solving time: 225.894182843 seconds.
optimum = -492.95531137871785
