*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[205, 197, 196, 191, 189, 186, 178, 177, 158, 155, 145, 128, 120, 101, 100, 93, 84, 81, 76, 73, 69, 61, 52, 51, 49, 44, 43, 41, 40, 35, 33, 31, 30, 29, 28, 25, 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, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 1, 4, 1, 1, 2, 3, 5, 4, 1, 2, 3, 1, 5, 3, 9, 7, 4, 4, 8, 11, 11, 16, 29, 23, 37, 43, 390, 147, 603, 1279]
-----------------------------------------------------------------------------
Obtained the variable cliques in 6.442946395 seconds. The maximal size of cliques is 205.
Assembling the SDP...
There are 33972 affine constraints.
SDP assembling time: 3.3769408 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 33972           
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 2982            
  Matrix variables       : 2691 (scalarized: 299031)
  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            : 33972           
Optimizer  - Cones                  : 1280            
Optimizer  - Scalar variables       : 6739              conic                  : 3839            
Optimizer  - Semi-definite variables: 1412              scalarized             : 295194          
Factor     - setup time             : 64.62           
Factor     - dense det. time        : 0.00              GP order time          : 29.30           
Factor     - nonzeros before factor : 2.68e+08          after factor           : 2.97e+08        
Factor     - dense dim.             : 0                 flops                  : 4.70e+12        
Factor     - GP saved nzs           : 9.15e+05          GP saved flops         : 4.06e+10        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   1.1e+04  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  64.91 
1   4.2e+03  3.8e-01  3.6e-01  -9.95e-01  -5.900930527e+01  -5.937827048e+01  3.8e-01  77.58 
2   2.9e+03  2.7e-01  9.3e-02  1.25e+00   -2.163945871e+02  -2.162750095e+02  2.7e-01  87.01 
3   1.7e+02  1.6e-02  1.3e-03  7.92e-01   -2.741663149e+02  -2.741580746e+02  1.6e-02  98.29 
4   1.1e+02  1.1e-02  7.5e-04  1.03e+00   -2.842578423e+02  -2.842529667e+02  1.1e-02  108.08
5   4.8e+01  4.4e-03  2.2e-04  1.02e+00   -2.910093161e+02  -2.910078065e+02  4.4e-03  118.01
6   2.6e+01  2.3e-03  9.2e-05  1.01e+00   -2.934766179e+02  -2.934759421e+02  2.3e-03  127.47
7   1.3e+01  1.2e-03  3.5e-05  1.00e+00   -2.949813259e+02  -2.949810384e+02  1.2e-03  137.13
8   7.5e+00  6.9e-04  1.6e-05  1.00e+00   -2.957365402e+02  -2.957363983e+02  6.9e-04  146.56
9   1.0e+00  9.6e-05  8.6e-07  1.00e+00   -2.966630996e+02  -2.966630898e+02  9.6e-05  157.04
10  8.5e-01  7.8e-05  6.3e-07  9.99e-01   -2.967133705e+02  -2.967133627e+02  7.8e-05  165.99
11  5.7e-01  5.2e-05  3.4e-07  1.00e+00   -2.967809674e+02  -2.967809624e+02  5.2e-05  175.42
12  2.0e-01  1.8e-05  7.0e-08  1.00e+00   -2.968585954e+02  -2.968585938e+02  1.8e-05  184.92
13  7.1e-02  6.5e-06  1.5e-08  1.00e+00   -2.968823436e+02  -2.968823430e+02  6.5e-06  194.56
14  2.5e-02  2.3e-06  3.2e-09  1.00e+00   -2.968907219e+02  -2.968907217e+02  2.3e-06  203.69
15  7.1e-03  6.5e-07  4.9e-10  1.00e+00   -2.968939215e+02  -2.968939214e+02  6.5e-07  213.30
16  7.6e-04  7.0e-08  1.7e-11  1.00e+00   -2.968950064e+02  -2.968950064e+02  7.0e-08  225.06
17  6.8e-04  6.2e-08  1.4e-11  1.00e+00   -2.968950201e+02  -2.968950201e+02  6.2e-08  234.70
18  5.9e-04  5.4e-08  1.2e-11  1.00e+00   -2.968950341e+02  -2.968950341e+02  5.4e-08  244.50
19  3.5e-04  3.3e-08  5.5e-12  1.00e+00   -2.968950716e+02  -2.968950716e+02  3.3e-08  253.87
20  3.6e-05  4.6e-09  1.8e-13  1.00e+00   -2.968951229e+02  -2.968951229e+02  3.3e-09  264.47
21  6.1e-06  1.4e-08  1.2e-14  1.00e+00   -2.968951278e+02  -2.968951278e+02  5.6e-10  275.17
22  1.1e-06  1.0e-07  9.0e-16  1.00e+00   -2.968951286e+02  -2.968951286e+02  9.7e-11  285.04
23  5.6e-09  5.5e-07  6.7e-19  1.00e+00   -2.968951288e+02  -2.968951288e+02  5.1e-13  296.20
Optimizer terminated. Time: 296.36  

SDP solving time: 309.204279222 seconds.
optimum = -296.8951288025641
