*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[171, 161, 159, 155, 144, 133, 129, 122, 121, 97, 83, 82, 79, 72, 69, 64, 61, 54, 53, 49, 47, 45, 44, 43, 41, 39, 38, 35, 33, 30, 29, 28, 27, 26, 25, 23, 22, 21, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]
[1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 4, 1, 2, 3, 1, 3, 2, 4, 3, 10, 2, 6, 9, 7, 11, 17, 27, 28, 49, 100, 163, 836, 798, 2172]
-----------------------------------------------------------------------------
Obtained the variable cliques in 4.323338677 seconds. The maximal size of cliques is 171.
Assembling the SDP...
There are 30784 affine constraints.
SDP assembling time: 3.40591489 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 30784           
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 9204            
  Matrix variables       : 4296 (scalarized: 187035)
  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            : 30784           
Optimizer  - Cones                  : 2173            
Optimizer  - Scalar variables       : 15518             conic                  : 6518            
Optimizer  - Semi-definite variables: 2124              scalarized             : 180519          
Factor     - setup time             : 20.40           
Factor     - dense det. time        : 0.00              GP order time          : 4.83            
Factor     - nonzeros before factor : 1.36e+08          after factor           : 1.65e+08        
Factor     - dense dim.             : 0                 flops                  : 1.87e+12        
Factor     - GP saved nzs           : -1.39e+06         GP saved flops         : 5.11e+10        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   3.2e+03  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  20.57 
1   9.0e+02  2.9e-01  2.4e-01  -9.80e-01  -3.673584198e+01  -3.707020084e+01  2.9e-01  26.27 
2   5.7e+02  1.8e-01  3.3e-02  1.07e+00   -1.757400341e+02  -1.756154984e+02  1.8e-01  30.47 
3   2.3e+02  7.3e-02  1.4e-02  3.90e-01   -3.581507522e+02  -3.581123281e+02  7.3e-02  34.66 
4   7.4e+01  2.3e-02  2.9e-03  1.02e+00   -4.352062094e+02  -4.351978014e+02  2.3e-02  38.71 
5   3.4e+01  1.1e-02  9.5e-04  1.03e+00   -4.596225216e+02  -4.596194422e+02  1.1e-02  42.69 
6   8.0e+00  2.5e-03  1.2e-04  1.02e+00   -4.757366630e+02  -4.757363012e+02  2.5e-03  47.61 
7   4.1e+00  1.3e-03  4.4e-05  1.01e+00   -4.779953230e+02  -4.779951752e+02  1.3e-03  51.90 
8   9.9e-01  3.1e-04  5.3e-06  1.00e+00   -4.798922545e+02  -4.798922374e+02  3.1e-04  57.36 
9   5.1e-01  1.6e-04  2.0e-06  1.00e+00   -4.801527977e+02  -4.801527902e+02  1.6e-04  61.68 
10  1.2e-01  3.7e-05  2.2e-07  1.00e+00   -4.803618373e+02  -4.803618361e+02  3.7e-05  69.79 
11  1.8e-02  5.9e-06  1.4e-08  1.00e+00   -4.804085760e+02  -4.804085759e+02  5.9e-06  74.29 
12  3.3e-04  1.0e-07  3.3e-11  1.00e+00   -4.804168720e+02  -4.804168720e+02  1.0e-07  78.96 
13  3.2e-04  1.0e-07  3.2e-11  1.00e+00   -4.804168748e+02  -4.804168748e+02  1.0e-07  82.62 
14  2.6e-04  8.3e-08  2.3e-11  1.00e+00   -4.804169022e+02  -4.804169022e+02  8.3e-08  86.21 
15  3.8e-05  1.2e-08  1.3e-12  1.00e+00   -4.804170041e+02  -4.804170041e+02  1.2e-08  90.80 
16  4.2e-06  2.2e-09  4.7e-14  1.00e+00   -4.804170188e+02  -4.804170188e+02  1.3e-09  95.07 
17  1.8e-06  1.3e-08  1.3e-14  1.00e+00   -4.804170199e+02  -4.804170199e+02  5.7e-10  112.47
18  4.4e-09  2.0e-08  1.3e-18  1.00e+00   -4.804170207e+02  -4.804170207e+02  1.3e-12  116.71
Optimizer terminated. Time: 116.78  

SDP solving time: 137.558445974 seconds.
optimum = -480.417020667082
