*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[200, 101]
[1, 600]
-----------------------------------------------------------------------------
Obtained the variable cliques in 87.275249055 seconds. The maximal size of cliques is 200.
Assembling the SDP...
There are 81201 affine constraints.
SDP assembling time: 6.917965059 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 81201           
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 801             
  Matrix variables       : 601 (scalarized: 3172101)
  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                   : 0.01            
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: 0.02    
GP based matrix reordering started.
GP based matrix reordering terminated.
Optimizer  - threads                : 56              
Optimizer  - solved problem         : the primal      
Optimizer  - Constraints            : 81201           
Optimizer  - Cones                  : 1               
Optimizer  - Scalar variables       : 802               conic                  : 2               
Optimizer  - Semi-definite variables: 601               scalarized             : 3172101         
Factor     - setup time             : 135.57          
Factor     - dense det. time        : 52.64             GP order time          : 2.36            
Factor     - nonzeros before factor : 5.14e+08          after factor           : 5.17e+08        
Factor     - dense dim.             : 100               flops                  : 4.39e+12        
Factor     - GP saved nzs           : 1.50e+06          GP saved flops         : 3.80e+10        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   6.1e+04  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  138.11
1   8.4e+03  1.4e-01  4.6e-02  -6.34e-01  -1.251134468e+01  -1.247134322e+01  1.4e-01  164.15
2   3.0e+03  4.9e-02  9.2e-03  1.15e+00   -3.019397031e+01  -3.018007735e+01  4.9e-02  183.95
3   2.5e+03  4.2e-02  7.2e-03  9.49e-01   -3.365859896e+01  -3.364734382e+01  4.2e-02  207.35
4   1.4e+03  2.4e-02  3.2e-03  9.68e-01   -4.426296097e+01  -4.425752191e+01  2.4e-02  233.30
5   1.1e+03  1.8e-02  2.1e-03  9.76e-01   -5.164923706e+01  -5.164557864e+01  1.8e-02  255.67
6   9.8e+02  1.6e-02  1.8e-03  9.65e-01   -5.568901621e+01  -5.568580856e+01  1.6e-02  279.06
7   8.9e+02  1.5e-02  1.6e-03  9.59e-01   -5.857340285e+01  -5.857057292e+01  1.5e-02  299.22
8   8.2e+02  1.3e-02  1.4e-03  9.59e-01   -6.122356160e+01  -6.122105493e+01  1.3e-02  320.06
9   7.5e+02  1.2e-02  1.3e-03  9.55e-01   -6.440889918e+01  -6.440667860e+01  1.2e-02  342.14
10  6.8e+02  1.1e-02  1.1e-03  9.63e-01   -6.432033523e+01  -6.431835802e+01  1.1e-02  364.10
11  4.8e+02  7.9e-03  6.6e-04  9.73e-01   -6.755132456e+01  -6.755008714e+01  7.9e-03  384.34
12  2.1e+02  3.4e-03  1.9e-04  9.92e-01   -7.129401657e+01  -7.129361184e+01  3.4e-03  404.32
13  1.5e+02  2.4e-03  1.1e-04  9.98e-01   -7.300931885e+01  -7.300906753e+01  2.4e-03  424.59
14  1.1e+02  1.9e-03  7.7e-05  9.98e-01   -7.417091534e+01  -7.417074163e+01  1.9e-03  444.83
15  7.0e+01  1.2e-03  3.8e-05  9.98e-01   -7.608583713e+01  -7.608574981e+01  1.2e-03  464.76
16  4.7e+01  7.8e-04  2.1e-05  9.97e-01   -7.743814327e+01  -7.743809598e+01  7.8e-04  484.69
17  2.1e+01  3.4e-04  6.2e-06  9.96e-01   -7.937128482e+01  -7.937127267e+01  3.4e-04  505.61
18  6.7e+00  1.1e-04  1.2e-06  9.94e-01   -8.086266889e+01  -8.086266748e+01  1.1e-04  527.48
19  3.2e+00  5.2e-05  3.9e-07  9.95e-01   -8.138945075e+01  -8.138945048e+01  5.2e-05  548.80
20  2.7e+00  4.4e-05  3.0e-07  9.97e-01   -8.148445997e+01  -8.148445986e+01  4.4e-05  569.07
21  2.3e+00  3.7e-05  2.3e-07  9.97e-01   -8.157553935e+01  -8.157553934e+01  3.7e-05  589.79
22  1.8e+00  2.9e-05  1.6e-07  9.97e-01   -8.168509354e+01  -8.168509364e+01  2.9e-05  609.97
23  1.6e+00  2.6e-05  1.4e-07  9.97e-01   -8.173256728e+01  -8.173256740e+01  2.6e-05  629.89
24  1.2e+00  1.9e-05  8.8e-08  9.97e-01   -8.184458159e+01  -8.184458175e+01  1.9e-05  649.53
25  1.0e+00  1.7e-05  7.3e-08  9.97e-01   -8.188567264e+01  -8.188567281e+01  1.7e-05  669.36
26  7.1e-01  1.2e-05  4.2e-08  9.96e-01   -8.198870677e+01  -8.198870696e+01  1.2e-05  689.23
27  5.6e-01  9.1e-06  2.9e-08  9.86e-01   -8.204674222e+01  -8.204674243e+01  9.1e-06  709.34
28  3.2e-01  5.2e-06  1.2e-08  9.80e-01   -8.214531562e+01  -8.214531583e+01  5.2e-06  729.27
29  2.1e-01  3.5e-06  6.8e-09  9.68e-01   -8.219878886e+01  -8.219878905e+01  3.5e-06  749.28
30  8.0e-02  1.3e-06  1.6e-09  9.65e-01   -8.227669841e+01  -8.227669851e+01  1.3e-06  772.43
31  4.0e-02  6.5e-07  5.8e-10  9.64e-01   -8.230897149e+01  -8.230897155e+01  6.5e-07  792.12
32  9.7e-03  1.6e-07  7.4e-11  9.76e-01   -8.233593660e+01  -8.233593663e+01  1.6e-07  817.05
33  3.6e-03  5.9e-08  1.7e-11  9.90e-01   -8.234253175e+01  -8.234253176e+01  5.9e-08  836.73
34  4.3e-04  7.5e-09  6.8e-13  9.97e-01   -8.234610330e+01  -8.234610330e+01  7.0e-09  861.83
35  6.6e-05  4.3e-09  4.1e-14  1.00e+00   -8.234654794e+01  -8.234654795e+01  1.1e-09  884.12
36  8.3e-06  3.3e-08  1.8e-15  1.00e+00   -8.234661875e+01  -8.234661875e+01  1.4e-10  905.87
37  1.2e-07  1.4e-07  3.2e-18  1.00e+00   -8.234662896e+01  -8.234662896e+01  2.0e-12  930.33
38  4.5e-09  9.6e-06  2.2e-20  1.00e+00   -8.234662910e+01  -8.234662910e+01  7.5e-14  952.47
Optimizer terminated. Time: 952.76  

SDP solving time: 964.561788591 seconds.
optimum = -82.34662910260488
