*********************************** 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 10.161548885 seconds. The maximal size of cliques is 231.
Assembling the SDP...
There are 40046 affine constraints.
SDP assembling time: 3.530091235 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       : 5321            
  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       : 5674              conic                  : 674             
Optimizer  - Semi-definite variables: 1542              scalarized             : 379977          
Factor     - setup time             : 106.36          
Factor     - dense det. time        : 0.00              GP order time          : 51.74           
Factor     - nonzeros before factor : 4.29e+08          after factor           : 4.87e+08        
Factor     - dense dim.             : 0                 flops                  : 9.74e+12        
Factor     - GP saved nzs           : -1.65e+06         GP saved flops         : 6.19e+10        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   3.0e+03  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  106.68
1   8.3e+02  2.8e-01  2.5e-01  -8.73e-01  -1.912573811e+01  -1.955096105e+01  2.8e-01  131.99
2   5.5e+02  1.8e-01  3.0e-02  8.45e-01   -9.950182161e+01  -9.935132950e+01  1.8e-01  149.10
3   2.3e+02  7.7e-02  1.5e-02  2.19e-01   -2.413358722e+02  -2.412870252e+02  7.7e-02  165.99
4   5.9e+01  2.0e-02  2.6e-03  9.83e-01   -3.985976352e+02  -3.985923390e+02  2.0e-02  185.72
5   3.3e+01  1.1e-02  1.1e-03  1.04e+00   -4.317526852e+02  -4.317506261e+02  1.1e-02  204.76
6   2.8e+01  9.4e-03  8.9e-04  1.03e+00   -4.371435916e+02  -4.371419451e+02  9.4e-03  223.64
7   1.5e+01  4.9e-03  3.5e-04  1.02e+00   -4.542261883e+02  -4.542255848e+02  4.9e-03  241.16
8   9.9e+00  3.3e-03  1.9e-04  1.01e+00   -4.611104373e+02  -4.611101469e+02  3.3e-03  258.44
9   3.6e+00  1.2e-03  4.3e-05  1.01e+00   -4.702337014e+02  -4.702336707e+02  1.2e-03  276.71
10  1.4e+00  4.6e-04  1.0e-05  1.00e+00   -4.737757576e+02  -4.737757634e+02  4.6e-04  295.96
11  2.5e-01  8.2e-05  8.2e-07  1.00e+00   -4.756068017e+02  -4.756068077e+02  8.2e-05  317.51
12  2.2e-01  7.2e-05  6.7e-07  1.00e+00   -4.756601480e+02  -4.756601534e+02  7.2e-05  336.92
13  6.4e-02  2.1e-05  1.1e-07  1.00e+00   -4.759078355e+02  -4.759078375e+02  2.1e-05  358.00
14  5.1e-02  1.7e-05  7.8e-08  1.00e+00   -4.759285535e+02  -4.759285551e+02  1.7e-05  375.46
15  6.9e-03  2.3e-06  3.9e-09  1.00e+00   -4.760020170e+02  -4.760020172e+02  2.3e-06  396.95
16  1.1e-03  3.7e-07  2.5e-10  1.00e+00   -4.760110591e+02  -4.760110591e+02  3.7e-07  417.56
17  2.1e-04  7.0e-08  2.1e-11  1.00e+00   -4.760124436e+02  -4.760124436e+02  7.0e-08  435.46
18  7.5e-07  3.8e-10  4.3e-15  1.00e+00   -4.760127681e+02  -4.760127681e+02  2.5e-10  456.76
19  6.0e-09  7.8e-08  2.7e-18  1.00e+00   -4.760127693e+02  -4.760127693e+02  2.1e-12  508.72
Optimizer terminated. Time: 508.87  

SDP solving time: 520.611290601 seconds.
optimum = -476.0127693138827
