*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[205, 197, 196, 191, 189, 186, 178, 177, 158, 155, 145, 128, 120, 101, 100, 93, 84, 81, 76, 73, 69, 61, 52, 51, 49, 44, 43, 41, 40, 35, 33, 31, 30, 29, 28, 25, 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, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 1, 4, 1, 1, 2, 3, 5, 4, 1, 2, 3, 1, 5, 3, 9, 7, 4, 4, 8, 11, 11, 16, 29, 23, 37, 43, 390, 147, 603, 1279]
-----------------------------------------------------------------------------
Obtained the variable cliques in 6.011982417 seconds. The maximal size of cliques is 205.
Assembling the SDP...
There are 33972 affine constraints.
SDP assembling time: 3.444506219 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 33972           
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 5682            
  Matrix variables       : 2691 (scalarized: 299031)
  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: 0.01    
GP based matrix reordering started.
GP based matrix reordering terminated.
Optimizer  - threads                : 56              
Optimizer  - solved problem         : the primal      
Optimizer  - Constraints            : 33972           
Optimizer  - Cones                  : 1280            
Optimizer  - Scalar variables       : 9439              conic                  : 3839            
Optimizer  - Semi-definite variables: 1412              scalarized             : 295194          
Factor     - setup time             : 64.40           
Factor     - dense det. time        : 0.00              GP order time          : 28.04           
Factor     - nonzeros before factor : 2.68e+08          after factor           : 2.97e+08        
Factor     - dense dim.             : 0                 flops                  : 4.66e+12        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   2.7e+03  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  64.69 
1   1.6e+03  5.9e-01  8.6e-01  -7.45e-01  -1.552650750e+00  -2.484478791e+00  5.9e-01  77.43 
2   9.5e+02  3.5e-01  9.5e-02  -2.18e-01  -2.274224330e+01  -2.232171643e+01  3.5e-01  88.73 
3   3.3e+02  1.2e-01  2.9e-02  8.16e-01   -8.519832606e+01  -8.512950923e+01  1.2e-01  101.79
4   5.0e+01  1.9e-02  1.9e-03  5.59e-01   -2.308141775e+02  -2.308048268e+02  1.9e-02  116.25
5   3.4e+01  1.3e-02  1.2e-03  1.04e+00   -2.493748288e+02  -2.493694206e+02  1.3e-02  127.75
6   2.6e+01  9.5e-03  7.8e-04  1.03e+00   -2.560635745e+02  -2.560599152e+02  9.5e-03  139.19
7   1.2e+01  4.5e-03  2.7e-04  1.03e+00   -2.687563512e+02  -2.687549541e+02  4.5e-03  150.85
8   6.2e+00  2.3e-03  9.8e-05  1.02e+00   -2.759227668e+02  -2.759222349e+02  2.3e-03  163.07
9   4.4e+00  1.6e-03  6.2e-05  1.01e+00   -2.780249016e+02  -2.780245653e+02  1.6e-03  181.94
10  2.7e+00  1.0e-03  3.0e-05  1.01e+00   -2.800990497e+02  -2.800988863e+02  1.0e-03  193.00
11  9.9e-01  3.6e-04  6.8e-06  1.00e+00   -2.823004603e+02  -2.823004264e+02  3.6e-04  204.43
12  6.0e-01  2.2e-04  3.2e-06  1.00e+00   -2.828148957e+02  -2.828148808e+02  2.2e-04  215.09
13  4.0e-01  1.5e-04  1.8e-06  1.00e+00   -2.830622399e+02  -2.830622326e+02  1.5e-04  225.58
14  1.3e-01  4.8e-05  3.5e-07  1.00e+00   -2.834040362e+02  -2.834040360e+02  4.8e-05  237.22
15  7.0e-02  2.6e-05  1.4e-07  1.00e+00   -2.834881546e+02  -2.834881549e+02  2.6e-05  248.04
16  3.2e-02  1.2e-05  4.2e-08  1.00e+00   -2.835401821e+02  -2.835401825e+02  1.2e-05  259.72
17  2.1e-02  7.6e-06  2.2e-08  1.00e+00   -2.835545226e+02  -2.835545229e+02  7.6e-06  270.54
18  2.8e-03  1.0e-06  1.1e-09  1.00e+00   -2.835779659e+02  -2.835779660e+02  1.0e-06  286.35
19  1.7e-03  6.4e-07  5.5e-10  1.00e+00   -2.835793429e+02  -2.835793430e+02  6.4e-07  296.96
20  1.0e-03  3.7e-07  2.4e-10  1.00e+00   -2.835802419e+02  -2.835802420e+02  3.7e-07  307.46
21  1.4e-04  4.8e-08  1.2e-11  1.00e+00   -2.835813008e+02  -2.835813009e+02  5.0e-08  320.67
22  6.5e-05  2.2e-08  3.7e-12  1.00e+00   -2.835813861e+02  -2.835813861e+02  2.3e-08  330.98
23  8.2e-06  3.2e-09  1.6e-13  1.00e+00   -2.835814498e+02  -2.835814498e+02  2.9e-09  343.33
24  6.0e-07  1.4e-08  3.2e-15  1.00e+00   -2.835814584e+02  -2.835814584e+02  2.1e-10  354.76
25  1.0e-07  3.6e-08  2.2e-16  1.00e+00   -2.835814589e+02  -2.835814589e+02  3.6e-11  387.46
26  4.5e-08  5.0e-07  9.1e-19  1.00e+00   -2.835814590e+02  -2.835814590e+02  1.1e-12  408.15
27  2.1e-08  1.2e-05  7.6e-20  1.00e+00   -2.835814590e+02  -2.835814590e+02  7.0e-14  419.62
28  2.1e-08  1.2e-05  1.7e-19  1.00e+00   -2.835814590e+02  -2.835814590e+02  6.7e-14  441.61
29  1.7e-08  1.0e-04  1.0e-19  1.00e+00   -2.835814590e+02  -2.835814590e+02  3.3e-14  453.93
Optimizer terminated. Time: 454.06  

SDP solving time: 469.020938481 seconds.
optimum = -283.5814590467542
