*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[145, 143, 142, 141, 136, 122, 116, 107, 99, 95, 90, 77, 76, 71, 68, 62, 53, 47, 45, 44, 38, 36, 34, 32, 31, 28, 26, 25, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 11, 8, 7, 6, 5, 4, 3, 2, 1]
[1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 5, 1, 1, 1, 6, 2, 2, 1, 100, 1, 1, 4, 11, 60, 198, 354, 372]
-----------------------------------------------------------------------------
Obtained the variable cliques in 2.72941843 seconds. The maximal size of cliques is 145.
Assembling the SDP...
There are 17479 affine constraints.
SDP assembling time: 3.219259517 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 17479           
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 1301            
  Matrix variables       : 1156 (scalarized: 150745)
  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: 0.00    
GP based matrix reordering started.
GP based matrix reordering terminated.
Optimizer  - threads                : 56              
Optimizer  - solved problem         : the primal      
Optimizer  - Constraints            : 17479           
Optimizer  - Cones                  : 373             
Optimizer  - Scalar variables       : 2418              conic                  : 1118            
Optimizer  - Semi-definite variables: 784               scalarized             : 149629          
Factor     - setup time             : 16.45           
Factor     - dense det. time        : 6.07              GP order time          : 3.05            
Factor     - nonzeros before factor : 6.97e+07          after factor           : 7.99e+07        
Factor     - dense dim.             : 0                 flops                  : 6.38e+11        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   6.1e+03  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  16.58 
1   1.3e+03  2.2e-01  1.1e-01  -7.35e-01  -2.700317471e+01  -2.699218784e+01  2.2e-01  20.74 
2   6.9e+02  1.1e-01  3.2e-02  1.19e+00   -5.924175259e+01  -5.921522130e+01  1.1e-01  23.42 
3   1.3e+02  2.1e-02  2.7e-03  8.97e-01   -7.751698269e+01  -7.751286865e+01  2.1e-02  26.54 
4   2.1e+01  3.4e-03  1.8e-04  1.04e+00   -8.701773043e+01  -8.701736516e+01  3.4e-03  30.05 
5   1.5e+01  2.5e-03  1.1e-04  9.96e-01   -8.889442580e+01  -8.889417571e+01  2.5e-03  32.69 
6   9.1e+00  1.5e-03  5.3e-05  9.97e-01   -9.034911647e+01  -9.034896668e+01  1.5e-03  35.77 
7   6.6e+00  1.1e-03  3.3e-05  9.97e-01   -9.103664055e+01  -9.103653691e+01  1.1e-03  38.40 
8   7.2e-01  1.2e-04  1.2e-06  9.97e-01   -9.266906269e+01  -9.266904424e+01  1.2e-04  42.16 
9   5.5e-01  9.0e-05  7.7e-07  9.93e-01   -9.275940475e+01  -9.275939159e+01  9.0e-05  44.80 
10  9.6e-02  1.6e-05  5.5e-08  9.95e-01   -9.295246062e+01  -9.295245821e+01  1.6e-05  48.47 
11  7.4e-02  1.2e-05  3.8e-08  9.99e-01   -9.295961521e+01  -9.295961343e+01  1.2e-05  51.15 
12  1.1e-02  1.8e-06  2.1e-09  9.99e-01   -9.298106727e+01  -9.298106709e+01  1.8e-06  54.77 
13  5.4e-03  8.9e-07  7.8e-10  1.00e+00   -9.298257014e+01  -9.298257006e+01  8.9e-07  57.41 
14  2.9e-04  4.7e-08  9.5e-12  1.00e+00   -9.298410376e+01  -9.298410376e+01  4.7e-08  61.12 
15  1.5e-05  3.4e-09  1.2e-13  1.00e+00   -9.298418407e+01  -9.298418407e+01  2.5e-09  65.72 
16  1.5e-07  2.6e-08  1.1e-16  1.00e+00   -9.298418862e+01  -9.298418862e+01  2.5e-11  69.19 
17  2.0e-10  2.3e-06  2.8e-21  1.00e+00   -9.298418867e+01  -9.298418867e+01  3.4e-14  73.03 
Optimizer terminated. Time: 73.08   

SDP solving time: 77.626515718 seconds.
optimum = -92.98418866752151
