*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[200, 101]
[2, 1100]
-----------------------------------------------------------------------------
Obtained the variable cliques in 458.948758864 seconds. The maximal size of cliques is 200.
Assembling the SDP...
There are 147251 affine constraints.
SDP assembling time: 19.430785347 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 147251          
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 2601            
  Matrix variables       : 1102 (scalarized: 5818902)
  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                   : 0.02            
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: 0.11    
GP based matrix reordering started.
GP based matrix reordering terminated.
Optimizer  - threads                : 56              
Optimizer  - solved problem         : the primal      
Optimizer  - Constraints            : 147251          
Optimizer  - Cones                  : 1               
Optimizer  - Scalar variables       : 2602              conic                  : 2               
Optimizer  - Semi-definite variables: 1102              scalarized             : 5818902         
Factor     - setup time             : 298.43          
Factor     - dense det. time        : 118.96            GP order time          : 5.66            
Factor     - nonzeros before factor : 9.64e+08          after factor           : 9.88e+08        
Factor     - dense dim.             : 400               flops                  : 8.65e+12        
Factor     - GP saved nzs           : 0                 GP saved flops         : 0.00e+00        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   1.1e+02  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  303.43
1   6.9e+01  6.3e-01  7.3e-01  -9.85e-04  3.587711272e-01   4.237409028e-03   6.3e-01  345.59
2   5.2e+01  4.7e-01  5.9e-01  -3.26e-01  6.539779137e-01   2.000558145e-02   4.7e-01  398.58
3   3.9e+01  3.6e-01  4.8e-01  -3.77e-01  9.992515497e-01   7.854653797e-02   3.6e-01  455.34
4   3.7e+01  3.4e-01  4.6e-01  -4.81e-01  1.059654122e+00   9.136756338e-02   3.4e-01  510.41
5   3.1e+01  2.8e-01  4.0e-01  -4.71e-01  1.294212494e+00   1.020920525e-01   2.8e-01  549.66
6   2.8e+01  2.6e-01  3.7e-01  -4.98e-01  1.309885353e+00   9.442030347e-02   2.6e-01  598.90
7   2.2e+01  2.0e-01  2.8e-01  -3.05e-01  1.546458070e+00   2.949892452e-01   2.0e-01  638.82
8   1.2e+01  1.1e-01  1.7e-01  -3.55e-01  8.295534742e-01   -1.041222416e+00  1.1e-01  694.54
9   1.1e+01  9.6e-02  1.5e-01  5.62e-02   5.878976606e-01   -1.181795798e+00  9.6e-02  734.08
10  6.0e+00  5.5e-02  7.1e-02  1.24e-01   -5.783926918e-01  -1.869234765e+00  5.5e-02  782.35
11  3.3e+00  3.0e-02  3.1e-02  4.90e-01   -1.468791947e+00  -2.268968487e+00  3.0e-02  824.04
12  2.1e+00  1.9e-02  1.5e-02  8.23e-01   -1.975737262e+00  -2.451575609e+00  1.9e-02  862.25
13  9.2e-01  8.4e-03  4.0e-03  1.07e+00   -2.691073411e+00  -2.859601646e+00  8.4e-03  901.94
14  3.0e-01  2.8e-03  6.6e-04  1.29e+00   -4.268230605e+00  -4.309397348e+00  2.8e-03  942.54
15  5.3e-02  4.9e-04  5.1e-05  1.31e+00   -6.057466174e+00  -6.065982210e+00  4.9e-04  987.95
16  1.7e-02  1.5e-04  8.7e-06  1.13e+00   -8.057067512e+00  -8.059584936e+00  1.5e-04  1028.56
17  1.3e-02  1.2e-04  5.6e-06  1.04e+00   -9.240434486e+00  -9.242304899e+00  1.2e-04  1066.77
18  1.0e-02  9.5e-05  4.2e-06  1.03e+00   -9.998053417e+00  -9.999582238e+00  9.5e-05  1104.69
19  6.0e-03  5.5e-05  1.8e-06  1.03e+00   -1.169354189e+01  -1.169440263e+01  5.5e-05  1144.94
20  2.0e-03  1.9e-05  3.5e-07  1.02e+00   -1.370599939e+01  -1.370627721e+01  1.9e-05  1185.27
21  1.2e-03  1.1e-05  1.5e-07  1.01e+00   -1.462505803e+01  -1.462521718e+01  1.1e-05  1223.24
22  7.9e-04  7.2e-06  8.4e-08  1.00e+00   -1.521259548e+01  -1.521270158e+01  7.2e-06  1260.99
23  6.5e-04  5.9e-06  6.3e-08  1.00e+00   -1.550060638e+01  -1.550069337e+01  5.9e-06  1298.67
24  4.6e-04  4.2e-06  3.7e-08  1.00e+00   -1.594291709e+01  -1.594297834e+01  4.2e-06  1336.76
25  3.7e-04  3.4e-06  2.7e-08  1.00e+00   -1.620402050e+01  -1.620407011e+01  3.4e-06  1374.38
26  2.5e-04  2.3e-06  1.5e-08  1.00e+00   -1.663112356e+01  -1.663115637e+01  2.3e-06  1412.45
27  2.0e-04  1.9e-06  1.1e-08  1.00e+00   -1.682489063e+01  -1.682491768e+01  1.9e-06  1450.48
28  1.3e-04  1.2e-06  5.5e-09  1.00e+00   -1.720973686e+01  -1.720975365e+01  1.2e-06  1489.70
29  1.0e-04  9.2e-07  3.8e-09  1.00e+00   -1.738671242e+01  -1.738672566e+01  9.2e-07  1527.83
30  6.0e-05  5.5e-07  1.8e-09  1.00e+00   -1.768546361e+01  -1.768547145e+01  5.5e-07  1566.30
31  4.1e-05  3.7e-07  9.8e-10  1.00e+00   -1.785895040e+01  -1.785895570e+01  3.7e-07  1604.58
32  2.2e-05  2.0e-07  3.9e-10  1.00e+00   -1.804622159e+01  -1.804622444e+01  2.0e-07  1642.79
33  1.2e-05  1.1e-07  1.6e-10  1.00e+00   -1.815872778e+01  -1.815872933e+01  1.1e-07  1680.67
34  5.8e-06  5.3e-08  5.2e-11  1.00e+00   -1.823464716e+01  -1.823464791e+01  5.3e-08  1718.44
35  7.2e-07  6.6e-09  2.3e-12  1.00e+00   -1.830100768e+01  -1.830100778e+01  6.6e-09  1764.07
36  2.5e-07  2.3e-09  4.7e-13  1.00e+00   -1.830879220e+01  -1.830879223e+01  2.3e-09  1802.47
37  3.5e-08  4.0e-10  2.5e-14  1.00e+00   -1.831235610e+01  -1.831235611e+01  3.2e-10  1845.30
38  1.2e-08  5.5e-09  5.0e-15  1.00e+00   -1.831275124e+01  -1.831275124e+01  1.1e-10  1884.10
39  1.0e-09  1.3e-08  1.2e-16  1.00e+00   -1.831294293e+01  -1.831294293e+01  9.2e-12  1924.77
Optimizer terminated. Time: 1925.36 

SDP solving time: 1959.298528152 seconds.
optimum = -18.312942931563995
