*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[200, 101]
[1, 400]
-----------------------------------------------------------------------------
Obtained the variable cliques in 37.231979543 seconds. The maximal size of cliques is 200.
Assembling the SDP...
There are 60801 affine constraints.
SDP assembling time: 5.361055801 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 60801           
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 601             
  Matrix variables       : 401 (scalarized: 2121501)
  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            : 60801           
Optimizer  - Cones                  : 1               
Optimizer  - Scalar variables       : 602               conic                  : 2               
Optimizer  - Semi-definite variables: 401               scalarized             : 2121501         
Factor     - setup time             : 113.05          
Factor     - dense det. time        : 43.24             GP order time          : 10.70           
Factor     - nonzeros before factor : 4.14e+08          after factor           : 7.10e+08        
Factor     - dense dim.             : 0                 flops                  : 1.07e+13        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   4.1e+04  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  114.73
1   5.8e+03  1.4e-01  4.8e-02  -6.08e-01  -1.363162665e+01  -1.358622155e+01  1.4e-01  143.92
2   2.0e+03  4.9e-02  9.1e-03  1.15e+00   -3.056034784e+01  -3.054616711e+01  4.9e-02  167.19
3   1.7e+03  4.1e-02  7.1e-03  9.64e-01   -3.335990178e+01  -3.334860652e+01  4.1e-02  192.43
4   9.6e+02  2.4e-02  3.2e-03  9.75e-01   -4.242210352e+01  -4.241652842e+01  2.4e-02  219.61
5   7.0e+02  1.7e-02  2.0e-03  9.74e-01   -4.932530924e+01  -4.932168133e+01  1.7e-02  244.82
6   5.4e+02  1.3e-02  1.4e-03  9.69e-01   -5.732690042e+01  -5.732433973e+01  1.3e-02  270.67
7   5.0e+02  1.2e-02  1.3e-03  9.35e-01   -6.016021608e+01  -6.015794632e+01  1.2e-02  292.70
8   4.6e+02  1.1e-02  1.1e-03  9.53e-01   -6.021943830e+01  -6.021739961e+01  1.1e-02  315.73
9   4.3e+02  1.0e-02  1.0e-03  9.66e-01   -6.067682866e+01  -6.067496629e+01  1.0e-02  339.78
10  2.8e+02  6.9e-03  5.4e-04  9.72e-01   -6.380641576e+01  -6.380538942e+01  6.9e-03  362.52
11  7.7e+01  1.9e-03  8.1e-05  9.90e-01   -6.823462176e+01  -6.823446716e+01  1.9e-03  385.59
12  5.5e+01  1.3e-03  4.8e-05  9.98e-01   -6.998673244e+01  -6.998664217e+01  1.3e-03  407.67
13  3.6e+01  8.9e-04  2.6e-05  9.98e-01   -7.155531787e+01  -7.155527166e+01  8.9e-04  429.92
14  2.4e+01  6.0e-04  1.5e-05  9.97e-01   -7.299631420e+01  -7.299629004e+01  6.0e-04  452.16
15  1.5e+01  3.7e-04  7.3e-06  9.96e-01   -7.420211691e+01  -7.420210729e+01  3.7e-04  474.57
16  2.6e+00  6.5e-05  5.4e-07  9.95e-01   -7.613402913e+01  -7.613403065e+01  6.5e-05  501.59
17  2.2e+00  5.3e-05  4.1e-07  9.93e-01   -7.626905436e+01  -7.626905575e+01  5.3e-05  524.04
18  1.8e+00  4.3e-05  3.0e-07  9.94e-01   -7.638781456e+01  -7.638781578e+01  4.3e-05  545.98
19  1.4e+00  3.5e-05  2.1e-07  9.95e-01   -7.649838318e+01  -7.649838423e+01  3.5e-05  567.97
20  1.1e+00  2.8e-05  1.5e-07  9.96e-01   -7.658889248e+01  -7.658889338e+01  2.8e-05  589.92
21  8.9e-01  2.2e-05  1.1e-07  9.96e-01   -7.666821460e+01  -7.666821536e+01  2.2e-05  612.05
22  7.5e-01  1.8e-05  8.3e-08  9.97e-01   -7.671685630e+01  -7.671685696e+01  1.8e-05  634.64
23  5.9e-01  1.5e-05  5.8e-08  9.97e-01   -7.677425926e+01  -7.677425981e+01  1.5e-05  656.84
24  3.6e-01  8.8e-06  2.7e-08  9.97e-01   -7.686434219e+01  -7.686434256e+01  8.8e-06  678.80
25  2.8e-01  6.9e-06  1.9e-08  9.93e-01   -7.689911055e+01  -7.689911087e+01  6.9e-06  701.03
26  1.5e-01  3.6e-06  7.3e-09  9.90e-01   -7.696229776e+01  -7.696229788e+01  3.6e-06  724.05
27  1.3e-01  3.3e-06  6.3e-09  9.80e-01   -7.697078308e+01  -7.697078320e+01  3.3e-06  746.17
28  6.4e-02  1.6e-06  2.1e-09  9.78e-01   -7.701247919e+01  -7.701247928e+01  1.6e-06  767.93
29  4.3e-02  1.0e-06  1.2e-09  9.74e-01   -7.702789804e+01  -7.702789811e+01  1.0e-06  789.92
30  1.9e-02  4.8e-07  3.6e-10  9.75e-01   -7.704604618e+01  -7.704604622e+01  4.8e-07  811.77
31  7.1e-03  1.7e-07  8.1e-11  9.79e-01   -7.705695354e+01  -7.705695356e+01  1.7e-07  833.43
32  1.0e-03  2.5e-08  4.5e-12  9.88e-01   -7.706286794e+01  -7.706286794e+01  2.5e-08  858.71
33  3.1e-04  7.8e-09  7.5e-13  9.98e-01   -7.706368773e+01  -7.706368774e+01  7.5e-09  881.87
34  2.0e-05  1.9e-09  1.3e-14  1.00e+00   -7.706402778e+01  -7.706402778e+01  5.0e-10  907.20
35  2.6e-06  2.9e-08  5.8e-16  1.00e+00   -7.706404931e+01  -7.706404931e+01  6.4e-11  931.73
36  4.0e-08  2.9e-07  1.0e-18  1.00e+00   -7.706405241e+01  -7.706405241e+01  9.9e-13  958.51
37  5.8e-10  2.3e-05  6.9e-21  1.00e+00   -7.706405246e+01  -7.706405246e+01  4.0e-15  985.18
Optimizer terminated. Time: 985.46  

SDP solving time: 992.655505709 seconds.
optimum = -77.06405245977919
