*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[231, 218, 217, 215, 214, 189, 181, 180, 166, 144, 132, 129, 127, 124, 109, 105, 102, 101, 91, 87, 75, 70, 69, 64, 58, 56, 51, 47, 46, 45, 44, 43, 40, 39, 38, 37, 35, 33, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]
[1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 2, 2, 1, 2, 5, 2, 2, 3, 3, 2, 6, 6, 2, 5, 7, 6, 6, 8, 16, 19, 17, 19, 28, 34, 83, 598, 268, 342, 224]
-----------------------------------------------------------------------------
Obtained the variable cliques in 10.183163345 seconds. The maximal size of cliques is 231.
Assembling the SDP...
There are 40046 affine constraints.
SDP assembling time: 3.517685154 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 40046           
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 2321            
  Matrix variables       : 1766 (scalarized: 380649)
  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                   : 0.01            
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            : 40046           
Optimizer  - Cones                  : 225             
Optimizer  - Scalar variables       : 2674              conic                  : 674             
Optimizer  - Semi-definite variables: 1542              scalarized             : 379977          
Factor     - setup time             : 109.39          
Factor     - dense det. time        : 0.00              GP order time          : 53.05           
Factor     - nonzeros before factor : 4.29e+08          after factor           : 4.75e+08        
Factor     - dense dim.             : 0                 flops                  : 9.31e+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  109.83
1   5.1e+03  4.2e-01  4.4e-01  -9.71e-01  -6.466826603e+01  -6.514918441e+01  4.2e-01  131.52
2   3.8e+03  3.1e-01  8.1e-02  1.14e+00   -3.042475528e+02  -3.040304337e+02  3.1e-01  149.60
3   2.6e+02  2.1e-02  1.7e-03  6.23e-01   -4.491689688e+02  -4.491542344e+02  2.1e-02  169.51
4   1.4e+02  1.2e-02  8.5e-04  1.02e+00   -4.707267298e+02  -4.707200484e+02  1.2e-02  188.70
5   5.2e+01  4.4e-03  2.2e-04  1.01e+00   -4.852839446e+02  -4.852821872e+02  4.4e-03  207.36
6   1.8e+01  1.5e-03  4.7e-05  1.01e+00   -4.913927875e+02  -4.913923368e+02  1.5e-03  227.42
7   9.6e+00  8.0e-04  1.9e-05  1.00e+00   -4.933355039e+02  -4.933353020e+02  8.0e-04  244.93
8   3.5e+00  2.9e-04  4.5e-06  1.00e+00   -4.948011823e+02  -4.948011293e+02  2.9e-04  263.32
9   1.7e+00  1.4e-04  1.6e-06  1.00e+00   -4.952835516e+02  -4.952835306e+02  1.4e-04  280.88
10  1.1e+00  9.3e-05  8.4e-07  1.00e+00   -4.954558402e+02  -4.954558283e+02  9.3e-05  298.57
11  1.5e-01  1.2e-05  4.2e-08  1.00e+00   -4.957366725e+02  -4.957366720e+02  1.2e-05  317.57
12  1.0e-01  8.3e-06  2.3e-08  1.00e+00   -4.957540856e+02  -4.957540853e+02  8.3e-06  335.47
13  1.4e-02  1.2e-06  1.2e-09  1.00e+00   -4.957831236e+02  -4.957831236e+02  1.2e-06  356.28
14  4.8e-03  4.0e-07  2.5e-10  1.00e+00   -4.957859766e+02  -4.957859766e+02  4.0e-07  375.27
15  6.9e-04  5.8e-08  1.4e-11  1.00e+00   -4.957872930e+02  -4.957872930e+02  5.7e-08  394.56
16  1.2e-04  1.1e-08  1.0e-12  1.00e+00   -4.957874726e+02  -4.957874726e+02  1.0e-08  413.90
17  4.3e-06  6.1e-09  6.7e-15  1.00e+00   -4.957875087e+02  -4.957875087e+02  3.6e-10  433.23
18  7.5e-07  1.3e-07  5.0e-16  1.00e+00   -4.957875097e+02  -4.957875097e+02  6.2e-11  451.91
19  6.5e-08  6.3e-07  7.4e-18  1.00e+00   -4.957875099e+02  -4.957875099e+02  5.4e-12  469.21
20  6.2e-09  8.2e-06  3.0e-18  1.00e+00   -4.957875099e+02  -4.957875099e+02  5.1e-13  491.97
Optimizer terminated. Time: 492.15  

SDP solving time: 502.972693887 seconds.
optimum = -495.78750994632964
