*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[142, 137, 131, 124, 123, 122, 100, 97, 96, 92, 87, 80, 78, 76, 74, 69, 65, 63, 58, 53, 52, 44, 40, 39, 36, 33, 32, 30, 29, 28, 26, 25, 24, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]
[1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 3, 1, 1, 1, 2, 2, 5, 4, 2, 2, 8, 5, 5, 3, 5, 10, 20, 19, 25, 46, 92, 186, 1497, 1271, 1557]
-----------------------------------------------------------------------------
Obtained the variable cliques in 3.072108072 seconds. The maximal size of cliques is 142.
Assembling the SDP...
There are 28349 affine constraints.
SDP assembling time: 4.005771362 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 28349           
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 11818           
  Matrix variables       : 4810 (scalarized: 168300)
  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: 0.02    
GP based matrix reordering started.
GP based matrix reordering terminated.
Optimizer  - threads                : 56              
Optimizer  - solved problem         : the primal      
Optimizer  - Constraints            : 28349           
Optimizer  - Cones                  : 1558            
Optimizer  - Scalar variables       : 15673             conic                  : 4673            
Optimizer  - Semi-definite variables: 3253              scalarized             : 163629          
Factor     - setup time             : 10.58           
Factor     - dense det. time        : 0.00              GP order time          : 3.46            
Factor     - nonzeros before factor : 7.19e+07          after factor           : 8.40e+07        
Factor     - dense dim.             : 0                 flops                  : 6.78e+11        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   3.7e+03  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  10.73 
1   1.4e+03  3.7e-01  3.9e-01  -1.00e+00  -4.119539868e+01  -4.173051858e+01  3.7e-01  13.81 
2   1.0e+03  2.7e-01  4.9e-02  1.07e+00   -2.124823468e+02  -2.122658739e+02  2.7e-01  15.91 
3   2.1e+02  5.7e-02  9.1e-03  2.31e-01   -6.545260493e+02  -6.544922885e+02  5.7e-02  18.32 
4   8.8e+01  2.4e-02  2.8e-03  1.05e+00   -8.313459468e+02  -8.313356874e+02  2.4e-02  20.54 
5   5.0e+01  1.4e-02  1.3e-03  1.04e+00   -8.813043976e+02  -8.812994321e+02  1.4e-02  22.74 
6   1.5e+01  4.1e-03  2.4e-04  1.03e+00   -9.264597519e+02  -9.264588866e+02  4.1e-03  25.13 
7   1.0e+01  2.8e-03  1.3e-04  1.01e+00   -9.325306624e+02  -9.325301541e+02  2.8e-03  27.59 
8   6.4e+00  1.7e-03  6.6e-05  1.01e+00   -9.368688735e+02  -9.368686018e+02  1.7e-03  29.94 
9   1.6e+00  4.2e-04  8.4e-06  1.00e+00   -9.421187531e+02  -9.421187231e+02  4.2e-04  33.05 
10  3.4e-01  9.3e-05  8.9e-07  1.00e+00   -9.433619921e+02  -9.433619900e+02  9.3e-05  36.16 
11  8.3e-02  2.2e-05  1.1e-07  1.00e+00   -9.436059792e+02  -9.436059789e+02  2.2e-05  39.03 
12  4.1e-02  1.1e-05  3.8e-08  1.00e+00   -9.436436101e+02  -9.436436100e+02  1.1e-05  41.45 
13  6.6e-03  1.8e-06  2.4e-09  1.00e+00   -9.436745383e+02  -9.436745383e+02  1.8e-06  44.04 
14  3.0e-03  8.1e-07  7.3e-10  1.00e+00   -9.436775083e+02  -9.436775083e+02  8.1e-07  46.64 
15  5.1e-04  1.4e-07  5.2e-11  1.00e+00   -9.436795526e+02  -9.436795526e+02  1.4e-07  49.20 
16  7.2e-05  2.0e-08  2.8e-12  1.00e+00   -9.436799113e+02  -9.436799113e+02  2.0e-08  51.36 
17  5.0e-07  1.4e-09  1.6e-15  1.00e+00   -9.436799703e+02  -9.436799703e+02  1.3e-10  53.63 
18  2.1e-08  1.7e-07  1.5e-17  1.00e+00   -9.436799707e+02  -9.436799707e+02  5.3e-12  60.23 
Optimizer terminated. Time: 60.26   

SDP solving time: 81.964553472 seconds.
optimum = -943.6799706749035
