*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[200, 101]
[2, 600]
-----------------------------------------------------------------------------
Obtained the variable cliques in 112.574418536 seconds. The maximal size of cliques is 200.
Assembling the SDP...
There are 96251 affine constraints.
SDP assembling time: 6.777295518 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 96251           
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 901             
  Matrix variables       : 602 (scalarized: 3192402)
  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: 0.03    
GP based matrix reordering started.
GP based matrix reordering terminated.
Optimizer  - threads                : 56              
Optimizer  - solved problem         : the primal      
Optimizer  - Constraints            : 96251           
Optimizer  - Cones                  : 1               
Optimizer  - Scalar variables       : 902               conic                  : 2               
Optimizer  - Semi-definite variables: 602               scalarized             : 3192402         
Factor     - setup time             : 203.62          
Factor     - dense det. time        : 88.43             GP order time          : 2.35            
Factor     - nonzeros before factor : 7.03e+08          after factor           : 7.06e+08        
Factor     - dense dim.             : 100               flops                  : 7.05e+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  206.45
1   7.9e+03  1.3e-01  3.8e-02  -5.96e-01  -1.202574367e+01  -1.196693374e+01  1.3e-01  238.38
2   2.9e+03  4.8e-02  8.5e-03  1.15e+00   -2.853343366e+01  -2.851742773e+01  4.8e-02  271.48
3   2.3e+03  3.8e-02  6.1e-03  9.72e-01   -3.165868667e+01  -3.164670044e+01  3.8e-02  322.81
4   1.4e+03  2.2e-02  2.8e-03  9.81e-01   -4.101927242e+01  -4.101341554e+01  2.2e-02  351.01
5   1.1e+03  1.8e-02  2.2e-03  9.69e-01   -4.867821418e+01  -4.867366440e+01  1.8e-02  376.91
6   1.0e+03  1.6e-02  1.9e-03  9.73e-01   -5.124867736e+01  -5.124473273e+01  1.6e-02  403.94
7   9.2e+02  1.5e-02  1.6e-03  9.70e-01   -5.452557434e+01  -5.452211197e+01  1.5e-02  428.81
8   8.4e+02  1.4e-02  1.4e-03  9.60e-01   -5.808598255e+01  -5.808292354e+01  1.4e-02  453.25
9   7.6e+02  1.2e-02  1.3e-03  9.65e-01   -5.921732438e+01  -5.921461613e+01  1.2e-02  478.73
10  7.0e+02  1.1e-02  1.1e-03  9.73e-01   -5.995285428e+01  -5.995043876e+01  1.1e-02  504.44
11  5.4e+02  8.8e-03  7.5e-04  9.80e-01   -6.157107174e+01  -6.156936874e+01  8.8e-03  530.93
12  9.7e+01  1.6e-03  6.4e-05  9.91e-01   -6.789482220e+01  -6.789483248e+01  1.6e-03  562.45
13  8.7e+01  1.4e-03  5.4e-05  1.00e+00   -6.907862201e+01  -6.907863282e+01  1.4e-03  588.09
14  6.6e+01  1.1e-03  3.6e-05  9.99e-01   -7.077679204e+01  -7.077680138e+01  1.1e-03  614.32
15  5.5e+01  9.1e-04  2.8e-05  9.97e-01   -7.167093653e+01  -7.167094580e+01  9.1e-04  640.17
16  1.9e+01  3.1e-04  5.7e-06  9.97e-01   -7.493079154e+01  -7.493079120e+01  3.1e-04  668.08
17  9.6e+00  1.6e-04  2.0e-06  9.95e-01   -7.620076087e+01  -7.620076213e+01  1.6e-04  694.12
18  6.2e+00  1.0e-04  1.0e-06  9.95e-01   -7.668055266e+01  -7.668055391e+01  1.0e-04  720.05
19  4.6e+00  7.5e-05  6.6e-07  9.94e-01   -7.691293365e+01  -7.691293484e+01  7.5e-05  746.99
20  3.1e+00  5.1e-05  3.8e-07  9.92e-01   -7.712126462e+01  -7.712126564e+01  5.1e-05  773.49
21  2.7e+00  4.5e-05  3.1e-07  9.92e-01   -7.717801929e+01  -7.717802024e+01  4.5e-05  799.32
22  1.9e+00  3.2e-05  1.8e-07  9.91e-01   -7.729866920e+01  -7.729866999e+01  3.2e-05  824.74
23  1.3e+00  2.2e-05  1.1e-07  9.92e-01   -7.738658145e+01  -7.738658206e+01  2.2e-05  852.29
24  9.3e-01  1.5e-05  6.2e-08  9.92e-01   -7.744964228e+01  -7.744964274e+01  1.5e-05  877.93
25  3.6e-01  5.9e-06  1.5e-08  9.94e-01   -7.753904696e+01  -7.753904717e+01  5.9e-06  903.15
26  2.6e-01  4.3e-06  9.3e-09  9.97e-01   -7.755546339e+01  -7.755546355e+01  4.3e-06  928.21
27  2.1e-01  3.5e-06  6.8e-09  9.97e-01   -7.756357141e+01  -7.756357154e+01  3.5e-06  953.23
28  1.5e-01  2.5e-06  4.2e-09  9.98e-01   -7.757406156e+01  -7.757406166e+01  2.5e-06  977.91
29  1.2e-01  2.0e-06  3.0e-09  9.98e-01   -7.757943461e+01  -7.757943469e+01  2.0e-06  1002.19
30  9.3e-02  1.5e-06  2.0e-09  9.98e-01   -7.758545732e+01  -7.758545739e+01  1.5e-06  1026.70
31  7.3e-02  1.2e-06  1.4e-09  9.99e-01   -7.758953417e+01  -7.758953422e+01  1.2e-06  1051.26
32  5.2e-02  8.6e-07  8.3e-10  9.99e-01   -7.759394687e+01  -7.759394691e+01  8.6e-07  1075.19
33  4.3e-02  7.0e-07  6.1e-10  9.99e-01   -7.759616821e+01  -7.759616824e+01  7.0e-07  1099.41
34  3.1e-02  5.0e-07  3.7e-10  9.99e-01   -7.759919940e+01  -7.759919942e+01  5.0e-07  1123.86
35  2.4e-02  3.9e-07  2.6e-10  9.99e-01   -7.760103050e+01  -7.760103052e+01  3.9e-07  1148.14
36  1.8e-02  3.0e-07  1.7e-10  9.99e-01   -7.760274996e+01  -7.760274997e+01  3.0e-07  1172.20
37  1.4e-02  2.2e-07  1.1e-10  9.98e-01   -7.760422657e+01  -7.760422658e+01  2.2e-07  1196.46
38  1.0e-02  1.7e-07  7.3e-11  9.96e-01   -7.760545949e+01  -7.760545950e+01  1.7e-07  1219.62
39  8.0e-03  1.3e-07  5.0e-11  9.91e-01   -7.760639085e+01  -7.760639086e+01  1.3e-07  1242.68
40  4.5e-03  7.4e-08  2.1e-11  9.88e-01   -7.760793381e+01  -7.760793382e+01  7.3e-08  1265.77
41  3.6e-03  4.9e-08  1.4e-11  8.90e-01   -7.760819098e+01  -7.760819100e+01  5.0e-08  1288.48
42  1.9e-03  2.6e-08  5.4e-12  9.90e-01   -7.760922449e+01  -7.760922450e+01  2.7e-08  1311.27
43  1.1e-03  1.5e-08  2.2e-12  9.89e-01   -7.760987867e+01  -7.760987868e+01  1.5e-08  1333.93
44  7.7e-04  1.1e-08  1.4e-12  1.00e+00   -7.761011812e+01  -7.761011813e+01  1.1e-08  1356.71
45  3.2e-04  5.0e-09  3.8e-13  9.99e-01   -7.761051541e+01  -7.761051541e+01  4.6e-09  1380.14
46  7.9e-05  5.9e-09  4.7e-14  1.00e+00   -7.761075723e+01  -7.761075723e+01  1.1e-09  1404.14
47  1.6e-05  2.1e-08  4.5e-15  1.00e+00   -7.761082864e+01  -7.761082864e+01  2.3e-10  1428.28
48  6.9e-07  1.4e-07  3.7e-17  1.00e+00   -7.761084735e+01  -7.761084735e+01  9.8e-12  1456.53
49  1.7e-08  2.0e-06  1.9e-19  1.00e+00   -7.761084815e+01  -7.761084815e+01  2.4e-13  1485.05
Optimizer terminated. Time: 1485.40 

SDP solving time: 1498.511660749 seconds.
optimum = -77.61084815345973
