*********************************** TSSOS ***********************************
TSSOS is launching...
-----------------------------------------------------------------------------
The clique sizes of varibles:
[200, 101]
[2, 1100]
-----------------------------------------------------------------------------
Obtained the variable cliques in 409.853124372 seconds. The maximal size of cliques is 200.
Assembling the SDP...
There are 147251 affine constraints.
SDP assembling time: 11.50598978 seconds.
Solving the SDP...
Problem
  Name                   :                 
  Objective sense        : maximize        
  Type                   : CONIC (conic optimization problem)
  Constraints            : 147251          
  Affine conic cons.     : 0               
  Disjunctive cons.      : 0               
  Cones                  : 0               
  Scalar variables       : 1401            
  Matrix variables       : 1102 (scalarized: 5818902)
  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            : 147251          
Optimizer  - Cones                  : 1               
Optimizer  - Scalar variables       : 1402              conic                  : 2               
Optimizer  - Semi-definite variables: 1102              scalarized             : 5818902         
Factor     - setup time             : 300.40          
Factor     - dense det. time        : 121.69            GP order time          : 5.51            
Factor     - nonzeros before factor : 9.63e+08          after factor           : 9.69e+08        
Factor     - dense dim.             : 100               flops                  : 8.46e+12        
Factor     - GP saved nzs           : 0                 GP saved flops         : 0.00e+00        
ITE PFEAS    DFEAS    GFEAS    PRSTATUS   POBJ              DOBJ              MU       TIME  
0   1.1e+05  1.0e+00  1.0e+00  0.00e+00   -0.000000000e+00  -0.000000000e+00  1.0e+00  305.28
1   1.3e+04  1.2e-01  3.0e-02  -5.82e-01  -1.065813203e+01  -1.058720154e+01  1.2e-01  350.84
2   5.3e+03  4.7e-02  7.9e-03  1.16e+00   -2.602147105e+01  -2.600234694e+01  4.7e-02  399.31
3   4.6e+03  4.1e-02  6.5e-03  9.78e-01   -2.961695683e+01  -2.960099410e+01  4.1e-02  448.34
4   3.0e+03  2.7e-02  3.6e-03  9.93e-01   -3.466726876e+01  -3.465800798e+01  2.7e-02  484.66
5   2.1e+03  1.9e-02  2.2e-03  9.96e-01   -4.219497079e+01  -4.218919670e+01  1.9e-02  534.35
6   2.0e+03  1.8e-02  2.0e-03  9.82e-01   -4.704642019e+01  -4.704121036e+01  1.8e-02  571.08
7   1.8e+03  1.6e-02  1.7e-03  9.81e-01   -5.150232008e+01  -5.149770817e+01  1.6e-02  616.02
8   1.6e+03  1.5e-02  1.5e-03  9.78e-01   -5.590233974e+01  -5.589825811e+01  1.5e-02  654.45
9   1.5e+03  1.3e-02  1.3e-03  9.79e-01   -5.794859347e+01  -5.794496086e+01  1.3e-02  693.95
10  1.4e+03  1.2e-02  1.2e-03  9.84e-01   -5.908431098e+01  -5.908106134e+01  1.2e-02  740.70
11  1.3e+03  1.1e-02  1.0e-03  9.90e-01   -5.968356514e+01  -5.968067552e+01  1.1e-02  776.74
12  7.8e+02  7.0e-03  5.3e-04  9.94e-01   -6.252127353e+01  -6.251975885e+01  7.0e-03  834.13
13  1.5e+02  1.4e-03  4.7e-05  1.00e+00   -6.817124054e+01  -6.817102437e+01  1.4e-03  886.78
14  1.0e+02  9.2e-04  2.6e-05  1.00e+00   -7.001332144e+01  -7.001319447e+01  9.2e-04  921.16
15  7.8e+01  7.0e-04  1.8e-05  9.99e-01   -7.132838397e+01  -7.132829563e+01  7.0e-04  955.53
16  5.6e+01  5.0e-04  1.1e-05  9.98e-01   -7.254174184e+01  -7.254168702e+01  5.0e-04  990.81
17  3.0e+01  2.7e-04  4.3e-06  9.97e-01   -7.412744370e+01  -7.412741974e+01  2.7e-04  1026.04
18  2.0e+01  1.8e-04  2.3e-06  9.97e-01   -7.486564987e+01  -7.486563688e+01  1.8e-04  1061.59
19  4.9e+00  4.4e-05  2.9e-07  9.97e-01   -7.591470165e+01  -7.591470074e+01  4.4e-05  1104.32
20  2.8e+00  2.5e-05  1.3e-07  9.98e-01   -7.607984860e+01  -7.607984827e+01  2.5e-05  1142.04
21  1.6e+00  1.5e-05  5.6e-08  9.97e-01   -7.617652237e+01  -7.617652225e+01  1.5e-05  1178.54
22  1.3e+00  1.2e-05  3.9e-08  9.96e-01   -7.620591878e+01  -7.620591872e+01  1.2e-05  1212.93
23  6.2e-01  5.5e-06  1.3e-08  9.97e-01   -7.626196976e+01  -7.626196976e+01  5.5e-06  1246.83
24  4.0e-01  3.6e-06  6.9e-09  9.98e-01   -7.628055066e+01  -7.628055067e+01  3.6e-06  1281.48
25  2.4e-01  2.2e-06  3.2e-09  9.98e-01   -7.629456341e+01  -7.629456342e+01  2.2e-06  1315.83
26  5.3e-02  4.8e-07  3.3e-10  9.99e-01   -7.631130690e+01  -7.631130690e+01  4.8e-07  1352.29
27  4.3e-02  3.8e-07  2.4e-10  1.00e+00   -7.631251876e+01  -7.631251877e+01  3.8e-07  1386.51
28  3.3e-02  3.0e-07  1.7e-10  1.00e+00   -7.631361513e+01  -7.631361514e+01  3.0e-07  1420.76
29  2.9e-02  2.6e-07  1.3e-10  1.00e+00   -7.631429078e+01  -7.631429079e+01  2.6e-07  1455.05
30  2.5e-02  2.3e-07  1.1e-10  1.00e+00   -7.631478925e+01  -7.631478925e+01  2.3e-07  1489.60
31  2.2e-02  1.9e-07  8.6e-11  1.00e+00   -7.631534551e+01  -7.631534551e+01  1.9e-07  1524.42
32  1.6e-02  1.4e-07  5.3e-11  1.00e+00   -7.631628139e+01  -7.631628139e+01  1.4e-07  1559.24
33  1.3e-02  1.1e-07  4.0e-11  1.00e+00   -7.631676843e+01  -7.631676843e+01  1.1e-07  1594.09
34  8.8e-03  7.9e-08  2.3e-11  1.00e+00   -7.631752357e+01  -7.631752357e+01  7.9e-08  1629.21
35  7.0e-03  6.3e-08  1.6e-11  1.00e+00   -7.631793957e+01  -7.631793957e+01  6.3e-08  1664.23
36  5.2e-03  4.7e-08  1.0e-11  1.00e+00   -7.631838832e+01  -7.631838832e+01  4.6e-08  1699.36
37  4.2e-03  3.8e-08  7.4e-12  1.00e+00   -7.631867464e+01  -7.631867464e+01  3.7e-08  1734.28
38  2.5e-03  2.3e-08  3.3e-12  9.97e-01   -7.631919205e+01  -7.631919205e+01  2.2e-08  1770.44
39  1.7e-03  1.6e-08  1.9e-12  9.96e-01   -7.631951628e+01  -7.631951628e+01  1.5e-08  1805.33
40  1.1e-03  1.2e-08  9.7e-13  9.96e-01   -7.631978899e+01  -7.631978899e+01  9.6e-09  1840.14
41  7.8e-04  1.0e-08  6.1e-13  9.97e-01   -7.631994050e+01  -7.631994050e+01  7.1e-09  1874.98
42  4.8e-04  6.9e-09  3.0e-13  9.98e-01   -7.632011083e+01  -7.632011083e+01  4.4e-09  1909.71
43  2.6e-04  1.0e-08  1.2e-13  9.99e-01   -7.632024992e+01  -7.632024992e+01  2.5e-09  1944.37
44  1.1e-04  1.2e-08  3.6e-14  1.00e+00   -7.632035578e+01  -7.632035578e+01  1.1e-09  1979.54
45  4.3e-05  7.2e-08  8.5e-15  1.00e+00   -7.632041208e+01  -7.632041208e+01  4.1e-10  2016.00
46  2.0e-05  1.2e-07  2.6e-15  1.00e+00   -7.632043298e+01  -7.632043298e+01  1.9e-10  2050.84
47  6.7e-06  1.5e-07  5.2e-16  1.00e+00   -7.632044503e+01  -7.632044503e+01  6.4e-11  2087.33
48  2.1e-06  3.2e-07  9.3e-17  1.00e+00   -7.632044935e+01  -7.632044935e+01  2.0e-11  2124.67
49  2.1e-07  1.2e-06  2.8e-18  1.00e+00   -7.632045129e+01  -7.632045129e+01  2.0e-12  2164.41
50  9.5e-09  1.5e-05  3.8e-20  1.00e+00   -7.632045150e+01  -7.632045150e+01  9.2e-14  2207.16
Optimizer terminated. Time: 2207.72 

SDP solving time: 2237.444430035 seconds.
optimum = -76.32045150189163
