*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[200, 101]
[3, 1100]
-----------------------------------------------------------------------------
Obtained the variable cliques in 522.046537154 seconds. The maximal size of cliques is 200.
Assembling the SDP...
There are 162301 affine constraints.
SDP assembling time: 11.947160949 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 162301          
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 1501            
  Matrix variables       : 1103 (scalarized: 5839203)
  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: 0.05    
GP based matrix reordering started.
GP based matrix reordering terminated.
Optimizer  - threads                : 56              
Optimizer  - solved problem         : the primal      
Optimizer  - Constraints            : 162301          
Optimizer  - Cones                  : 1               
Optimizer  - Scalar variables       : 1502              conic                  : 2               
Optimizer  - Semi-definite variables: 1103              scalarized             : 5839203         
Factor     - setup time             : 346.06          
Factor     - dense det. time        : 146.06            GP order time          : 5.44            
Factor     - nonzeros before factor : 1.15e+09          after factor           : 1.16e+09        
Factor     - dense dim.             : 100               flops                  : 1.11e+13        
Factor     - GP saved nzs           : 0                 GP saved flops         : 0.00e+00        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   1.1e+05  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  351.01
1   1.7e+04  1.5e-01  6.0e-02  -6.95e-01  -1.383237909e+01  -1.382412921e+01  1.5e-01  401.64
2   5.8e+03  5.2e-02  1.0e-02  1.16e+00   -3.187969604e+01  -3.186923239e+01  5.2e-02  449.99
3   2.9e+03  2.6e-02  3.7e-03  9.56e-01   -4.478255921e+01  -4.477851497e+01  2.6e-02  511.80
4   2.0e+03  1.8e-02  2.3e-03  9.81e-01   -5.621501097e+01  -5.621239894e+01  1.8e-02  572.53
5   1.9e+03  1.7e-02  2.0e-03  9.79e-01   -5.995997055e+01  -5.995767257e+01  1.7e-02  613.33
6   1.7e+03  1.5e-02  1.8e-03  9.78e-01   -6.289858575e+01  -6.289655670e+01  1.5e-02  663.26
7   1.6e+03  1.4e-02  1.5e-03  9.82e-01   -6.460966662e+01  -6.460786282e+01  1.4e-02  704.26
8   1.4e+03  1.3e-02  1.3e-03  9.84e-01   -6.638232987e+01  -6.638073528e+01  1.3e-02  749.83
9   1.3e+03  1.2e-02  1.2e-03  9.84e-01   -6.775608283e+01  -6.775464720e+01  1.2e-02  797.88
10  1.1e+03  1.0e-02  9.8e-04  9.89e-01   -6.819363332e+01  -6.819242601e+01  1.0e-02  836.62
11  8.0e+02  7.2e-03  5.8e-04  9.94e-01   -7.076806888e+01  -7.076732059e+01  7.2e-03  875.87
12  1.5e+02  1.3e-03  4.8e-05  9.98e-01   -7.652481855e+01  -7.652471561e+01  1.3e-03  921.91
13  1.0e+02  9.0e-04  2.6e-05  1.00e+00   -7.819834182e+01  -7.819827997e+01  9.0e-04  962.25
14  4.4e+01  4.0e-04  7.7e-06  1.00e+00   -8.058547852e+01  -8.058545661e+01  4.0e-04  1002.98
15  2.7e+01  2.4e-04  3.8e-06  9.97e-01   -8.181597625e+01  -8.181596535e+01  2.4e-04  1042.20
16  1.7e+01  1.5e-04  1.8e-06  9.97e-01   -8.261415688e+01  -8.261415163e+01  1.5e-04  1081.04
17  6.5e+00  5.8e-05  4.4e-07  9.98e-01   -8.339205118e+01  -8.339205013e+01  5.8e-05  1121.01
18  2.9e+00  2.6e-05  1.3e-07  9.98e-01   -8.368858303e+01  -8.368858284e+01  2.6e-05  1163.12
19  2.1e+00  1.9e-05  8.5e-08  9.95e-01   -8.374960493e+01  -8.374960485e+01  1.9e-05  1202.54
20  1.4e+00  1.2e-05  4.3e-08  9.96e-01   -8.381458643e+01  -8.381458642e+01  1.2e-05  1241.47
21  1.0e+00  9.1e-06  2.8e-08  9.95e-01   -8.384494561e+01  -8.384494563e+01  9.1e-06  1281.12
22  4.1e-01  3.7e-06  7.2e-09  9.96e-01   -8.389736376e+01  -8.389736379e+01  3.7e-06  1321.74
23  1.3e-01  1.2e-06  1.3e-09  9.97e-01   -8.392213956e+01  -8.392213958e+01  1.2e-06  1361.50
24  1.0e-01  9.3e-07  9.2e-10  9.98e-01   -8.392496447e+01  -8.392496448e+01  9.3e-07  1400.30
25  7.3e-02  6.5e-07  5.4e-10  9.97e-01   -8.392788625e+01  -8.392788626e+01  6.5e-07  1440.19
26  6.1e-02  5.5e-07  4.2e-10  9.96e-01   -8.392897460e+01  -8.392897461e+01  5.5e-07  1479.05
27  4.7e-02  4.2e-07  2.8e-10  9.95e-01   -8.393029604e+01  -8.393029605e+01  4.2e-07  1519.31
28  2.9e-02  2.6e-07  1.4e-10  9.96e-01   -8.393201505e+01  -8.393201505e+01  2.6e-07  1558.58
29  2.2e-02  2.0e-07  9.1e-11  9.96e-01   -8.393266762e+01  -8.393266762e+01  2.0e-07  1597.46
30  1.0e-02  9.3e-08  2.9e-11  9.96e-01   -8.393380124e+01  -8.393380125e+01  9.3e-08  1636.19
31  8.1e-03  7.3e-08  2.0e-11  9.97e-01   -8.393402130e+01  -8.393402130e+01  7.3e-08  1674.74
32  3.6e-03  3.3e-08  5.9e-12  9.98e-01   -8.393446294e+01  -8.393446294e+01  3.2e-08  1713.96
33  1.5e-03  1.5e-08  1.6e-12  9.97e-01   -8.393466770e+01  -8.393466770e+01  1.3e-08  1754.56
34  1.2e-03  1.1e-08  1.1e-12  1.00e+00   -8.393470555e+01  -8.393470555e+01  1.0e-08  1793.31
35  8.8e-04  9.0e-09  7.2e-13  1.00e+00   -8.393473938e+01  -8.393473938e+01  7.8e-09  1832.40
36  6.7e-04  7.3e-09  4.7e-13  1.00e+00   -8.393476517e+01  -8.393476517e+01  5.9e-09  1871.57
37  5.4e-04  7.5e-09  3.5e-13  1.00e+00   -8.393478289e+01  -8.393478289e+01  4.8e-09  1910.48
38  3.9e-04  5.4e-09  2.1e-13  1.00e+00   -8.393480473e+01  -8.393480473e+01  3.5e-09  1949.14
39  3.2e-04  5.3e-09  1.6e-13  1.00e+00   -8.393481635e+01  -8.393481635e+01  2.9e-09  1987.63
40  2.4e-04  5.0e-09  1.0e-13  1.00e+00   -8.393483032e+01  -8.393483032e+01  2.2e-09  2026.89
41  1.8e-04  1.4e-08  6.5e-14  1.00e+00   -8.393484361e+01  -8.393484361e+01  1.6e-09  2065.73
42  1.3e-04  2.3e-08  4.3e-14  1.00e+00   -8.393485297e+01  -8.393485297e+01  1.2e-09  2105.97
43  1.0e-04  2.9e-08  2.9e-14  1.00e+00   -8.393486089e+01  -8.393486089e+01  9.2e-10  2144.40
44  7.1e-05  1.2e-08  1.7e-14  1.00e+00   -8.393486976e+01  -8.393486976e+01  6.4e-10  2182.99
45  6.1e-05  1.3e-08  1.3e-14  1.00e+00   -8.393487295e+01  -8.393487295e+01  5.5e-10  2220.87
46  4.3e-05  6.8e-08  7.8e-15  1.00e+00   -8.393487899e+01  -8.393487899e+01  3.9e-10  2259.01
47  2.6e-05  4.5e-08  3.7e-15  1.00e+00   -8.393488546e+01  -8.393488546e+01  2.3e-10  2296.93
48  2.4e-05  4.1e-08  3.2e-15  1.00e+00   -8.393488650e+01  -8.393488650e+01  2.1e-10  2335.15
49  1.9e-05  3.3e-08  2.3e-15  1.00e+00   -8.393488872e+01  -8.393488872e+01  1.7e-10  2373.83
50  1.1e-05  6.7e-08  9.8e-16  1.00e+00   -8.393489268e+01  -8.393489268e+01  9.7e-11  2412.42
51  7.1e-06  1.7e-07  5.4e-16  1.00e+00   -8.393489468e+01  -8.393489468e+01  6.6e-11  2450.35
52  3.3e-06  1.5e-07  1.7e-16  1.00e+00   -8.393489706e+01  -8.393489706e+01  3.1e-11  2488.51
53  2.1e-06  2.0e-07  8.8e-17  1.00e+00   -8.393489792e+01  -8.393489792e+01  2.0e-11  2526.38
54  9.1e-07  1.1e-06  2.5e-17  1.00e+00   -8.393489882e+01  -8.393489882e+01  8.6e-12  2564.47
55  4.4e-07  1.7e-06  8.8e-18  1.00e+00   -8.393489922e+01  -8.393489922e+01  4.2e-12  2602.58
56  2.1e-07  3.3e-06  2.8e-18  1.00e+00   -8.393489942e+01  -8.393489942e+01  2.0e-12  2640.47
57  1.5e-07  3.8e-06  1.7e-18  1.00e+00   -8.393489948e+01  -8.393489948e+01  1.4e-12  2678.46
58  8.2e-08  1.6e-05  6.5e-19  1.00e+00   -8.393489954e+01  -8.393489954e+01  7.9e-13  2716.86
59  6.1e-08  2.4e-05  4.6e-19  1.00e+00   -8.393489956e+01  -8.393489956e+01  5.9e-13  2755.05
60  3.0e-08  6.8e-05  2.3e-19  1.00e+00   -8.393489959e+01  -8.393489959e+01  2.9e-13  2795.14
61  1.1e-08  8.4e-05  4.5e-20  1.00e+00   -8.393489961e+01  -8.393489961e+01  1.0e-13  2834.09
Optimizer terminated. Time: 2834.68 

SDP solving time: 2866.536457973 seconds.
optimum = -83.93489960937191
