*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[175, 174, 173, 162, 155, 149, 141, 139, 135, 124, 119, 98, 90, 69, 68, 61, 56, 55, 54, 53, 52, 49, 44, 11, 8, 7, 6, 5, 4, 3, 2, 1]
[1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 200, 3, 14, 39, 101, 162, 257, 296, 128]
-----------------------------------------------------------------------------
Obtained the variable cliques in 5.849322947 seconds. The maximal size of cliques is 175.
Assembling the SDP...
There are 24237 affine constraints.
SDP assembling time: 3.331219972 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 24237           
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 2601            
  Matrix variables       : 1226 (scalarized: 213338)
  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            : 24237           
Optimizer  - Cones                  : 129             
Optimizer  - Scalar variables       : 2986              conic                  : 386             
Optimizer  - Semi-definite variables: 1098              scalarized             : 212954          
Factor     - setup time             : 90.19           
Factor     - dense det. time        : 13.72             GP order time          : 58.98           
Factor     - nonzeros before factor : 1.43e+08          after factor           : 1.64e+08        
Factor     - dense dim.             : 0                 flops                  : 1.87e+12        
Factor     - GP saved nzs           : 3.49e+06          GP saved flops         : 8.39e+10        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   5.1e+02  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  90.37 
1   3.4e+02  6.7e-01  8.3e-01  4.46e-01   -3.970478372e-02  -4.981384513e-01  6.7e-01  96.30 
2   1.1e+02  2.1e-01  1.9e-01  -2.94e-01  -1.189304310e+01  -1.224152752e+01  2.1e-01  103.31
3   4.1e+01  8.1e-02  2.3e-02  1.12e+00   -3.465291959e+01  -3.460190704e+01  8.1e-02  109.34
4   9.5e+00  1.8e-02  2.8e-03  8.06e-01   -8.953616651e+01  -8.952930789e+01  1.8e-02  115.76
5   3.0e+00  5.9e-03  5.8e-04  9.93e-01   -1.325428602e+02  -1.325430606e+02  5.9e-03  122.17
6   1.7e+00  3.4e-03  2.6e-04  1.02e+00   -1.490073712e+02  -1.490079512e+02  3.4e-03  128.13
7   1.4e+00  2.8e-03  2.0e-04  1.02e+00   -1.522795494e+02  -1.522801297e+02  2.8e-03  134.03
8   7.0e-01  1.4e-03  6.9e-05  1.02e+00   -1.623513867e+02  -1.623518342e+02  1.4e-03  139.95
9   4.3e-01  8.4e-04  3.4e-05  1.01e+00   -1.665679871e+02  -1.665683301e+02  8.4e-04  145.96
10  2.5e-01  5.0e-04  1.6e-05  1.01e+00   -1.695504496e+02  -1.695506871e+02  5.0e-04  151.77
11  1.1e-01  2.2e-04  4.7e-06  1.00e+00   -1.720106106e+02  -1.720107383e+02  2.2e-04  157.59
12  3.4e-02  6.6e-05  8.0e-07  1.00e+00   -1.734727908e+02  -1.734728351e+02  6.6e-05  163.97
13  1.5e-02  3.0e-05  2.4e-07  1.00e+00   -1.738269583e+02  -1.738269803e+02  3.0e-05  169.82
14  7.7e-03  1.5e-05  8.8e-08  1.00e+00   -1.739775327e+02  -1.739775441e+02  1.5e-05  175.57
15  2.9e-04  5.7e-07  6.4e-10  1.00e+00   -1.741257245e+02  -1.741257249e+02  5.7e-07  183.90
16  2.1e-04  4.1e-07  4.0e-10  1.00e+00   -1.741270932e+02  -1.741270934e+02  4.1e-07  189.75
17  2.5e-05  4.9e-08  1.7e-11  1.00e+00   -1.741302589e+02  -1.741302589e+02  4.9e-08  197.11
18  4.2e-06  8.3e-09  1.2e-12  1.00e+00   -1.741306293e+02  -1.741306293e+02  8.3e-09  203.96
19  1.6e-08  5.7e-10  2.5e-16  1.00e+00   -1.741307069e+02  -1.741307069e+02  3.2e-11  211.66
20  1.2e-09  1.1e-07  4.7e-21  1.00e+00   -1.741307072e+02  -1.741307072e+02  6.7e-14  237.73
Optimizer terminated. Time: 237.82  

SDP solving time: 243.873113031 seconds.
optimum = -174.13070721008455
