*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[171, 156, 155, 151, 150, 134, 133, 122, 116, 107, 101, 95, 92, 77, 76, 69, 64, 61, 58, 55, 54, 53, 52, 50, 43, 41, 40, 34, 33, 32, 31, 30, 29, 28, 27, 26, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1]
[1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 3, 3, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 7, 4, 7, 11, 10, 11, 13, 21, 38, 43, 106, 164, 830, 754, 1202]
-----------------------------------------------------------------------------
Obtained the variable cliques in 4.238203484 seconds. The maximal size of cliques is 171.
Assembling the SDP...
There are 29839 affine constraints.
SDP assembling time: 3.434295418 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 29839           
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 8218            
  Matrix variables       : 3286 (scalarized: 197123)
  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            : 29839           
Optimizer  - Cones                  : 1203            
Optimizer  - Scalar variables       : 11608             conic                  : 3608            
Optimizer  - Semi-definite variables: 2084              scalarized             : 193517          
Factor     - setup time             : 28.08           
Factor     - dense det. time        : 0.00              GP order time          : 11.45           
Factor     - nonzeros before factor : 1.45e+08          after factor           : 1.68e+08        
Factor     - dense dim.             : 0                 flops                  : 1.91e+12        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   3.0e+03  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  28.26 
1   8.9e+02  2.9e-01  2.5e-01  -9.53e-01  -3.209773157e+01  -3.245369975e+01  2.9e-01  35.54 
2   5.8e+02  1.9e-01  3.1e-02  1.02e+00   -1.613940441e+02  -1.612520320e+02  1.9e-01  40.03 
3   2.2e+02  7.1e-02  1.4e-02  3.32e-01   -3.550153535e+02  -3.549776780e+02  7.1e-02  45.04 
4   7.0e+01  2.3e-02  2.9e-03  1.08e+00   -4.323239081e+02  -4.323160270e+02  2.3e-02  50.39 
5   3.9e+01  1.3e-02  1.3e-03  1.04e+00   -4.551871759e+02  -4.551836450e+02  1.3e-02  54.99 
6   2.1e+01  6.8e-03  4.9e-04  1.03e+00   -4.687557916e+02  -4.687542907e+02  6.8e-03  59.66 
7   8.3e+00  2.7e-03  1.3e-04  1.02e+00   -4.778349505e+02  -4.778344957e+02  2.7e-03  65.18 
8   3.8e+00  1.2e-03  4.1e-05  1.01e+00   -4.814879611e+02  -4.814878084e+02  1.2e-03  69.80 
9   7.0e-01  2.3e-04  3.4e-06  1.00e+00   -4.837347027e+02  -4.837346934e+02  2.3e-04  76.34 
10  4.8e-01  1.6e-04  2.0e-06  1.00e+00   -4.838776177e+02  -4.838776119e+02  1.6e-04  80.97 
11  2.0e-01  6.6e-05  5.2e-07  1.00e+00   -4.840653479e+02  -4.840653462e+02  6.6e-05  85.62 
12  5.7e-02  1.9e-05  8.0e-08  1.00e+00   -4.841591955e+02  -4.841591952e+02  1.9e-05  90.21 
13  8.9e-03  2.9e-06  5.0e-09  1.00e+00   -4.841893192e+02  -4.841893192e+02  2.9e-06  95.93 
14  1.2e-03  3.9e-07  2.4e-10  1.00e+00   -4.841937621e+02  -4.841937621e+02  3.9e-07  100.95
15  7.5e-05  2.5e-08  3.8e-12  1.00e+00   -4.841943932e+02  -4.841943932e+02  2.5e-08  106.20
16  1.5e-07  6.0e-10  3.4e-16  1.00e+00   -4.841944350e+02  -4.841944350e+02  5.0e-11  113.14
17  3.4e-10  3.4e-07  4.5e-19  1.00e+00   -4.841944351e+02  -4.841944351e+02  9.8e-14  128.39
Optimizer terminated. Time: 128.47  

SDP solving time: 144.282313025 seconds.
optimum = -484.1944350609697
