*********************************** 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 5.486812476 seconds. The maximal size of cliques is 193.
Assembling the SDP...
There are 32065 affine constraints.
SDP assembling time: 3.407906626 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       : 6196            
  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       : 8813              conic                  : 2813            
Optimizer  - Semi-definite variables: 1866              scalarized             : 235540          
Factor     - setup time             : 56.83           
Factor     - dense det. time        : 0.00              GP order time          : 34.60           
Factor     - nonzeros before factor : 2.01e+08          after factor           : 2.30e+08        
Factor     - dense dim.             : 0                 flops                  : 3.02e+12        
Factor     - GP saved nzs           : -3.53e+06         GP saved flops         : 6.39e+10        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   2.9e+03  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  57.03 
1   7.9e+02  2.7e-01  2.3e-01  -8.08e-01  -2.028454043e+01  -2.062993489e+01  2.7e-01  67.76 
2   5.1e+02  1.7e-01  2.8e-02  9.08e-01   -1.039985424e+02  -1.038598693e+02  1.7e-01  74.21 
3   2.2e+02  7.5e-02  1.5e-02  2.60e-01   -2.508102340e+02  -2.507630942e+02  7.5e-02  80.69 
4   5.5e+01  1.9e-02  2.5e-03  1.10e+00   -3.990380884e+02  -3.990350296e+02  1.9e-02  88.41 
5   3.1e+01  1.1e-02  1.1e-03  1.05e+00   -4.265688642e+02  -4.265676566e+02  1.1e-02  94.93 
6   2.4e+01  8.1e-03  7.3e-04  1.03e+00   -4.352009882e+02  -4.352002124e+02  8.1e-03  101.29
7   9.8e+00  3.3e-03  2.0e-04  1.02e+00   -4.524818105e+02  -4.524816026e+02  3.3e-03  108.33
8   5.5e+00  1.9e-03  8.3e-05  1.01e+00   -4.588683469e+02  -4.588682815e+02  1.9e-03  114.56
9   3.5e+00  1.2e-03  4.3e-05  1.01e+00   -4.617030976e+02  -4.617030773e+02  1.2e-03  120.95
10  2.0e+00  6.9e-04  1.9e-05  1.00e+00   -4.638786955e+02  -4.638786971e+02  6.9e-04  127.24
11  8.6e-01  3.0e-04  5.4e-06  1.00e+00   -4.656070925e+02  -4.656071011e+02  3.0e-04  133.63
12  4.6e-01  1.6e-04  2.1e-06  1.00e+00   -4.662228033e+02  -4.662228101e+02  1.6e-04  139.93
13  2.5e-01  8.7e-05  8.7e-07  1.00e+00   -4.665289576e+02  -4.665289621e+02  8.7e-05  146.38
14  1.0e-01  3.4e-05  2.2e-07  1.00e+00   -4.667629285e+02  -4.667629307e+02  3.4e-05  152.57
15  1.6e-02  5.6e-06  1.4e-08  1.00e+00   -4.668890223e+02  -4.668890228e+02  5.6e-06  161.71
16  7.7e-03  2.6e-06  4.6e-09  1.00e+00   -4.669021342e+02  -4.669021344e+02  2.6e-06  167.76
17  1.1e-03  3.7e-07  2.4e-10  1.00e+00   -4.669119766e+02  -4.669119766e+02  3.7e-07  175.78
18  6.5e-04  2.2e-07  1.1e-10  1.00e+00   -4.669125817e+02  -4.669125817e+02  2.2e-07  182.91
19  9.3e-05  3.2e-08  6.1e-12  1.00e+00   -4.669133768e+02  -4.669133769e+02  3.2e-08  190.68
20  1.3e-05  4.8e-09  3.2e-13  1.00e+00   -4.669134891e+02  -4.669134891e+02  4.5e-09  197.55
21  4.1e-07  1.9e-09  1.8e-15  1.00e+00   -4.669135070e+02  -4.669135070e+02  1.4e-10  204.43
22  1.1e-09  8.3e-08  1.1e-18  1.00e+00   -4.669135075e+02  -4.669135075e+02  5.1e-13  223.67
Optimizer terminated. Time: 223.78  

SDP solving time: 238.349028873 seconds.
optimum = -466.9135075240619
