*********************************** 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 4.182925646 seconds. The maximal size of cliques is 171.
Assembling the SDP...
There are 30784 affine constraints.
SDP assembling time: 3.290200094 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       : 4704            
  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       : 11018             conic                  : 6518            
Optimizer  - Semi-definite variables: 2124              scalarized             : 180519          
Factor     - setup time             : 22.14           
Factor     - dense det. time        : 0.00              GP order time          : 6.83            
Factor     - nonzeros before factor : 1.36e+08          after factor           : 1.54e+08        
Factor     - dense dim.             : 0                 flops                  : 1.72e+12        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   1.3e+04  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  22.30 
1   5.7e+03  4.5e-01  4.8e-01  -1.00e+00  -7.150103507e+01  -7.199444330e+01  4.5e-01  29.56 
2   4.3e+03  3.4e-01  7.6e-02  1.18e+00   -3.497828796e+02  -3.495310377e+02  3.4e-01  34.10 
3   3.9e+02  3.1e-02  2.0e-03  6.90e-01   -4.635355361e+02  -4.635107800e+02  3.1e-02  41.16 
4   8.9e+01  7.1e-03  3.9e-04  1.00e+00   -4.880388364e+02  -4.880352762e+02  7.1e-03  46.84 
5   4.2e+01  3.3e-03  1.4e-04  1.01e+00   -4.930693509e+02  -4.930679706e+02  3.3e-03  53.63 
6   5.8e+00  4.6e-04  8.7e-06  1.00e+00   -4.961675268e+02  -4.961674579e+02  4.6e-04  60.50 
7   3.8e+00  3.0e-04  4.7e-06  1.00e+00   -4.963584250e+02  -4.963583821e+02  3.0e-04  65.43 
8   6.0e-01  4.7e-05  3.0e-07  1.00e+00   -4.966184017e+02  -4.966183973e+02  4.7e-05  72.13 
9   3.8e-01  3.0e-05  1.5e-07  1.00e+00   -4.966330957e+02  -4.966330930e+02  3.0e-05  76.88 
10  6.9e-02  5.5e-06  1.2e-08  1.00e+00   -4.966548313e+02  -4.966548309e+02  5.5e-06  83.19 
11  3.8e-02  3.0e-06  4.8e-09  1.00e+00   -4.966566145e+02  -4.966566142e+02  3.0e-06  87.82 
12  5.1e-03  4.0e-07  2.4e-10  1.00e+00   -4.966585867e+02  -4.966585866e+02  4.0e-07  94.77 
13  2.6e-03  2.0e-07  8.4e-11  1.00e+00   -4.966587401e+02  -4.966587401e+02  2.0e-07  99.94 
14  1.5e-03  1.2e-07  3.6e-11  1.00e+00   -4.966588074e+02  -4.966588074e+02  1.2e-07  104.55
15  1.8e-04  1.5e-08  1.6e-12  1.00e+00   -4.966588829e+02  -4.966588829e+02  1.5e-08  109.16
16  4.3e-06  5.2e-09  5.8e-15  1.00e+00   -4.966588934e+02  -4.966588934e+02  3.4e-10  114.78
17  1.4e-06  1.6e-07  1.1e-15  1.00e+00   -4.966588936e+02  -4.966588936e+02  1.1e-10  119.56
18  3.6e-08  4.6e-07  1.7e-18  1.00e+00   -4.966588937e+02  -4.966588937e+02  2.9e-12  124.96
19  9.9e-09  1.9e-05  1.5e-19  1.00e+00   -4.966588937e+02  -4.966588937e+02  7.9e-13  140.75
Optimizer terminated. Time: 140.82  

SDP solving time: 159.703002807 seconds.
optimum = -496.6588936789696
