*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[200, 101]
[3, 400]
-----------------------------------------------------------------------------
Obtained the variable cliques in 68.582761046 seconds. The maximal size of cliques is 200.
Assembling the SDP...
There are 90901 affine constraints.
SDP assembling time: 5.906555438 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 90901           
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 801             
  Matrix variables       : 403 (scalarized: 2162103)
  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            : 90901           
Optimizer  - Cones                  : 1               
Optimizer  - Scalar variables       : 802               conic                  : 2               
Optimizer  - Semi-definite variables: 403               scalarized             : 2162103         
Factor     - setup time             : 222.65          
Factor     - dense det. time        : 94.46             GP order time          : 10.06           
Factor     - nonzeros before factor : 7.93e+08          after factor           : 1.11e+09        
Factor     - dense dim.             : 0                 flops                  : 1.68e+13        
Factor     - GP saved nzs           : 6.19e+07          GP saved flops         : 1.52e+12        
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  224.52
1   5.9e+03  1.4e-01  5.2e-02  -6.46e-01  -1.352014437e+01  -1.348897956e+01  1.4e-01  265.57
2   2.0e+03  4.9e-02  9.5e-03  1.16e+00   -3.034426965e+01  -3.033271451e+01  4.9e-02  301.14
3   1.7e+03  4.1e-02  7.2e-03  9.71e-01   -3.226659056e+01  -3.225743118e+01  4.1e-02  339.93
4   1.3e+03  3.3e-02  5.2e-03  9.72e-01   -3.608918985e+01  -3.608243004e+01  3.3e-02  373.64
5   8.9e+02  2.2e-02  2.9e-03  9.80e-01   -4.333099234e+01  -4.332712667e+01  2.2e-02  408.44
6   7.7e+02  1.9e-02  2.4e-03  9.64e-01   -4.853496795e+01  -4.853184239e+01  1.9e-02  443.19
7   6.0e+02  1.4e-02  1.6e-03  9.50e-01   -5.728334058e+01  -5.728115601e+01  1.4e-02  478.41
8   5.5e+02  1.3e-02  1.5e-03  9.37e-01   -6.034596374e+01  -6.034403972e+01  1.3e-02  510.74
9   5.0e+02  1.2e-02  1.3e-03  9.35e-01   -6.195219293e+01  -6.195046761e+01  1.2e-02  545.35
10  4.6e+02  1.1e-02  1.1e-03  9.48e-01   -6.268728456e+01  -6.268572911e+01  1.1e-02  578.80
11  4.0e+02  9.8e-03  9.3e-04  9.61e-01   -6.362163123e+01  -6.362033303e+01  9.8e-03  611.79
12  2.8e+02  6.8e-03  5.5e-04  9.72e-01   -6.630733565e+01  -6.630654616e+01  6.8e-03  644.36
13  6.5e+01  1.6e-03  6.0e-05  9.85e-01   -7.227136651e+01  -7.227118406e+01  1.6e-03  681.90
14  4.4e+01  1.1e-03  3.5e-05  9.97e-01   -7.402964301e+01  -7.402953788e+01  1.1e-03  714.33
15  3.1e+01  7.6e-04  2.1e-05  9.94e-01   -7.561556404e+01  -7.561550399e+01  7.6e-04  748.36
16  2.3e+01  5.7e-04  1.3e-05  9.90e-01   -7.668078064e+01  -7.668074365e+01  5.7e-04  781.14
17  1.3e+01  3.2e-04  5.8e-06  9.87e-01   -7.831926114e+01  -7.831924813e+01  3.2e-04  813.66
18  8.4e+00  2.1e-04  3.0e-06  9.87e-01   -7.917713858e+01  -7.917713362e+01  2.1e-04  846.22
19  2.6e+00  6.3e-05  5.2e-07  9.89e-01   -8.032863212e+01  -8.032863299e+01  6.3e-05  880.88
20  1.3e+00  3.1e-05  1.8e-07  9.92e-01   -8.063525112e+01  -8.063525213e+01  3.1e-05  915.03
21  5.1e-01  1.3e-05  4.7e-08  9.91e-01   -8.081692177e+01  -8.081692239e+01  1.3e-05  949.31
22  1.6e-01  4.0e-06  8.6e-09  9.90e-01   -8.090761292e+01  -8.090761319e+01  4.0e-06  982.96
23  8.2e-02  2.0e-06  3.0e-09  9.94e-01   -8.092992699e+01  -8.092992714e+01  2.0e-06  1016.29
24  2.2e-02  5.3e-07  4.2e-10  9.95e-01   -8.094675929e+01  -8.094675934e+01  5.3e-07  1052.97
25  1.4e-02  3.3e-07  2.1e-10  9.93e-01   -8.094910734e+01  -8.094910737e+01  3.3e-07  1086.58
26  7.6e-03  1.9e-07  8.7e-11  9.93e-01   -8.095086201e+01  -8.095086203e+01  1.9e-07  1119.14
27  4.5e-03  1.1e-07  4.0e-11  9.94e-01   -8.095178382e+01  -8.095178384e+01  1.1e-07  1150.74
28  3.1e-03  7.5e-08  2.2e-11  9.96e-01   -8.095223317e+01  -8.095223317e+01  7.5e-08  1183.51
29  2.2e-03  5.5e-08  1.4e-11  9.96e-01   -8.095249299e+01  -8.095249299e+01  5.4e-08  1216.03
30  1.7e-03  4.2e-08  9.5e-12  9.83e-01   -8.095265512e+01  -8.095265512e+01  4.2e-08  1248.77
31  1.3e-03  3.2e-08  6.4e-12  9.93e-01   -8.095278946e+01  -8.095278947e+01  3.2e-08  1279.43
32  1.1e-03  2.6e-08  4.7e-12  9.86e-01   -8.095287934e+01  -8.095287934e+01  2.6e-08  1310.68
33  7.5e-04  1.8e-08  2.7e-12  9.95e-01   -8.095300862e+01  -8.095300862e+01  1.8e-08  1341.91
34  5.7e-04  1.4e-08  1.7e-12  1.00e+00   -8.095309001e+01  -8.095309002e+01  1.3e-08  1372.95
35  3.5e-04  1.1e-08  8.4e-13  1.00e+00   -8.095318945e+01  -8.095318945e+01  8.2e-09  1404.57
36  2.7e-04  8.0e-09  5.7e-13  1.00e+00   -8.095323342e+01  -8.095323342e+01  6.3e-09  1435.58
37  1.7e-04  8.6e-09  3.0e-13  1.00e+00   -8.095328796e+01  -8.095328796e+01  4.1e-09  1466.29
38  1.3e-04  5.4e-09  1.8e-13  1.00e+00   -8.095331954e+01  -8.095331954e+01  3.0e-09  1496.64
39  8.7e-05  6.1e-09  1.1e-13  1.00e+00   -8.095334758e+01  -8.095334758e+01  2.1e-09  1528.22
40  4.8e-05  1.5e-08  4.3e-14  1.00e+00   -8.095337840e+01  -8.095337840e+01  1.1e-09  1558.52
41  3.0e-05  2.3e-08  2.2e-14  1.00e+00   -8.095339370e+01  -8.095339370e+01  7.1e-10  1589.39
42  2.0e-05  1.8e-08  1.2e-14  1.00e+00   -8.095340240e+01  -8.095340240e+01  4.9e-10  1620.46
43  7.5e-06  1.1e-07  2.7e-15  1.00e+00   -8.095341439e+01  -8.095341439e+01  1.8e-10  1652.06
44  4.6e-06  6.6e-08  1.3e-15  1.00e+00   -8.095341726e+01  -8.095341726e+01  1.1e-10  1683.24
45  8.5e-07  2.1e-07  1.1e-16  1.00e+00   -8.095342126e+01  -8.095342126e+01  2.1e-11  1717.67
46  3.2e-08  1.5e-06  8.0e-19  1.00e+00   -8.095342220e+01  -8.095342220e+01  7.7e-13  1755.76
47  5.9e-10  9.9e-05  7.6e-21  1.00e+00   -8.095342223e+01  -8.095342223e+01  1.5e-14  1794.09
Optimizer terminated. Time: 1794.50 

SDP solving time: 1803.306171798 seconds.
optimum = -80.95342223229193
