*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[200, 101]
[3, 600]
-----------------------------------------------------------------------------
Obtained the variable cliques in 141.669897505 seconds. The maximal size of cliques is 200.
Assembling the SDP...
There are 111301 affine constraints.
SDP assembling time: 7.101104423 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 111301          
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 1001            
  Matrix variables       : 603 (scalarized: 3212703)
  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                   : 0.02            
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: 0.04    
GP based matrix reordering started.
GP based matrix reordering terminated.
Optimizer  - threads                : 56              
Optimizer  - solved problem         : the primal      
Optimizer  - Constraints            : 111301          
Optimizer  - Cones                  : 1               
Optimizer  - Scalar variables       : 1002              conic                  : 2               
Optimizer  - Semi-definite variables: 603               scalarized             : 3212703         
Factor     - setup time             : 247.80          
Factor     - dense det. time        : 113.74            GP order time          : 2.34            
Factor     - nonzeros before factor : 8.92e+08          after factor           : 8.96e+08        
Factor     - dense dim.             : 100               flops                  : 9.72e+12        
Factor     - GP saved nzs           : 0                 GP saved flops         : 0.00e+00        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   6.1e+04  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  250.74
1   8.2e+03  1.3e-01  4.2e-02  -6.08e-01  -1.248383668e+01  -1.243196104e+01  1.3e-01  286.91
2   2.9e+03  4.8e-02  8.6e-03  1.15e+00   -2.944440235e+01  -2.942962841e+01  4.8e-02  315.05
3   2.5e+03  4.2e-02  7.1e-03  9.64e-01   -3.209630657e+01  -3.208398474e+01  4.2e-02  355.61
4   1.4e+03  2.3e-02  3.1e-03  9.75e-01   -4.212113359e+01  -4.211535328e+01  2.3e-02  393.39
5   1.1e+03  1.7e-02  2.0e-03  9.76e-01   -4.979236233e+01  -4.978840901e+01  1.7e-02  422.60
6   9.7e+02  1.6e-02  1.8e-03  9.74e-01   -5.203717454e+01  -5.203368989e+01  1.6e-02  456.79
7   8.8e+02  1.4e-02  1.6e-03  9.69e-01   -5.521680156e+01  -5.521373113e+01  1.4e-02  484.35
8   8.1e+02  1.3e-02  1.4e-03  9.59e-01   -5.882904846e+01  -5.882634532e+01  1.3e-02  516.86
9   7.5e+02  1.2e-02  1.2e-03  9.57e-01   -6.081430588e+01  -6.081188126e+01  1.2e-02  545.55
10  6.6e+02  1.1e-02  1.0e-03  9.70e-01   -6.080422457e+01  -6.080213617e+01  1.1e-02  572.71
11  1.6e+02  2.6e-03  1.3e-04  9.80e-01   -6.707254786e+01  -6.707231433e+01  2.6e-03  606.16
12  1.1e+02  1.8e-03  7.7e-05  9.98e-01   -6.934269330e+01  -6.934254806e+01  1.8e-03  637.72
13  7.1e+01  1.2e-03  3.8e-05  9.99e-01   -7.158322167e+01  -7.158314813e+01  1.2e-03  664.49
14  3.4e+01  5.6e-04  1.3e-05  9.99e-01   -7.409350675e+01  -7.409348106e+01  5.6e-04  691.46
15  2.6e+01  4.3e-04  8.8e-06  9.96e-01   -7.497386173e+01  -7.497384508e+01  4.3e-04  722.57
16  5.6e+00  9.2e-05  8.9e-07  9.95e-01   -7.721255745e+01  -7.721255738e+01  9.2e-05  760.48
17  1.4e+00  2.3e-05  1.1e-07  9.94e-01   -7.787346643e+01  -7.787346690e+01  2.3e-05  794.71
18  9.1e-01  1.5e-05  5.9e-08  9.97e-01   -7.795366662e+01  -7.795366697e+01  1.5e-05  819.96
19  4.6e-01  7.5e-06  2.1e-08  9.97e-01   -7.802678122e+01  -7.802678143e+01  7.5e-06  845.86
20  3.2e-01  5.3e-06  1.3e-08  9.96e-01   -7.804984340e+01  -7.804984356e+01  5.3e-06  870.93
21  2.0e-01  3.3e-06  6.1e-09  9.97e-01   -7.807009619e+01  -7.807009630e+01  3.3e-06  895.93
22  1.1e-01  1.8e-06  2.6e-09  9.96e-01   -7.808489451e+01  -7.808489458e+01  1.8e-06  921.33
23  3.0e-02  4.9e-07  3.6e-10  9.97e-01   -7.809898780e+01  -7.809898782e+01  4.9e-07  952.82
24  1.8e-02  2.9e-07  1.6e-10  9.95e-01   -7.810117759e+01  -7.810117760e+01  2.9e-07  978.90
25  1.2e-02  2.0e-07  9.6e-11  9.93e-01   -7.810210430e+01  -7.810210431e+01  2.0e-07  1004.97
26  8.8e-03  1.4e-07  5.7e-11  9.93e-01   -7.810275612e+01  -7.810275613e+01  1.4e-07  1030.09
27  4.0e-03  6.5e-08  1.7e-11  9.94e-01   -7.810362883e+01  -7.810362883e+01  6.5e-08  1055.62
28  3.2e-03  4.6e-08  1.1e-11  9.54e-01   -7.810371031e+01  -7.810371032e+01  4.6e-08  1080.76
29  1.7e-03  1.7e-08  3.4e-12  9.63e-01   -7.810394195e+01  -7.810394197e+01  2.0e-08  1105.98
30  1.1e-03  9.9e-09  1.6e-12  1.01e+00   -7.810407864e+01  -7.810407866e+01  1.2e-08  1131.28
31  8.9e-04  7.8e-09  1.1e-12  1.00e+00   -7.810413982e+01  -7.810413983e+01  9.6e-09  1156.19
32  5.6e-04  5.3e-09  5.7e-13  1.00e+00   -7.810423004e+01  -7.810423005e+01  6.1e-09  1181.11
33  4.6e-04  4.3e-09  4.2e-13  1.00e+00   -7.810426163e+01  -7.810426163e+01  5.0e-09  1206.62
34  3.5e-04  3.2e-09  2.8e-13  1.00e+00   -7.810429861e+01  -7.810429862e+01  3.7e-09  1231.79
35  2.6e-04  4.1e-09  1.8e-13  1.00e+00   -7.810432791e+01  -7.810432791e+01  2.8e-09  1256.71
36  2.2e-04  4.3e-09  1.4e-13  1.00e+00   -7.810434552e+01  -7.810434552e+01  2.4e-09  1282.10
37  1.5e-04  5.0e-09  7.8e-14  1.00e+00   -7.810437415e+01  -7.810437415e+01  1.6e-09  1307.15
38  1.2e-04  4.4e-09  5.3e-14  1.00e+00   -7.810439011e+01  -7.810439011e+01  1.2e-09  1332.57
39  8.1e-05  5.3e-09  3.1e-14  1.00e+00   -7.810440854e+01  -7.810440854e+01  8.7e-10  1357.89
40  5.8e-05  5.6e-09  1.9e-14  1.00e+00   -7.810442255e+01  -7.810442255e+01  6.2e-10  1383.05
41  4.1e-05  4.3e-09  1.1e-14  1.00e+00   -7.810443419e+01  -7.810443419e+01  4.4e-10  1407.83
42  2.9e-05  6.0e-09  6.7e-15  1.00e+00   -7.810444316e+01  -7.810444316e+01  3.1e-10  1432.91
43  1.9e-05  9.2e-09  3.7e-15  1.00e+00   -7.810445111e+01  -7.810445111e+01  2.1e-10  1458.46
44  1.0e-05  3.8e-08  1.5e-15  1.00e+00   -7.810445904e+01  -7.810445904e+01  1.2e-10  1484.41
45  4.2e-06  8.2e-08  3.8e-16  1.00e+00   -7.810446535e+01  -7.810446535e+01  4.6e-11  1510.40
46  2.0e-06  7.7e-08  1.3e-16  1.00e+00   -7.810446782e+01  -7.810446782e+01  2.2e-11  1536.16
47  4.8e-07  2.3e-07  1.5e-17  1.00e+00   -7.810446967e+01  -7.810446967e+01  5.3e-12  1564.13
48  6.1e-08  1.3e-06  7.4e-19  1.00e+00   -7.810447022e+01  -7.810447022e+01  6.8e-13  1595.00
49  2.4e-09  2.7e-05  6.3e-21  1.00e+00   -7.810447030e+01  -7.810447030e+01  2.7e-14  1627.22
Optimizer terminated. Time: 1627.58 

SDP solving time: 1641.504717125 seconds.
optimum = -78.10447030005663
