# 
# Test de Posso
# 
# Nombre de solutions reelles par Inbox : 12 dans [-1.0e8,1.0e8]^6
# Solution 1 [precision: 9.24e-14]
# B = 7.41537586308 + [-4.619e-14,+4.619e-14]
# D = 0.685140764325 + [-1.555e-15,+1.555e-15]
# F = -1.42823698704 + [-1.177e-14,+1.2e-14]
# b = 0.262973036228 + [-1.166e-15,+1.222e-15]
# d = 1.28670837615 + [-1.777e-15,+1.777e-15]
# f = 0.788496583913 + [-4.33e-15,+4.33e-15]
# 
# Solution 2 [precision: 7.81e-10]
# B = 0.685140764325 + [-2.097e-11,+2.097e-11]
# D = 7.41537586308 + [-3.905e-10,+3.905e-10]
# F = -1.42823698704 + [-9.791e-11,+9.791e-11]
# b = 1.28670837615 + [-9.423e-12,+9.423e-12]
# d = 0.262973036228 + [-7.798e-13,+7.798e-13]
# f = 0.788496583913 + [-4.773e-13,+4.774e-13]
# 
# Solution 3 [precision: 1.78e-14]
# B = 2.91749550129 + [-8.882e-15,+8.882e-15]
# D = 2.91749550129 + [-7.55e-15,+7.994e-15]
# F = 1.6391651671 + [-2.887e-15,+3.109e-15]
# b = 0.489771154404 + [-6.107e-16,+6.662e-16]
# d = 0.489771154404 + [-4.441e-16,+4.997e-16]
# f = 0.719313463212 + [-6.662e-16,+7.772e-16]
# 
# Solution 4 [precision: 5.77e-11]
# B = 0.682832053768 + [-2.884e-11,+2.884e-11]
# D = 0.1523562219 + [-6.721e-12,+6.721e-12]
# F = 0.218104692906 + [-3.131e-12,+3.131e-12]
# b = 1.28960705449 + [-1.446e-11,+1.446e-11]
# d = 3.50557990149 + [-1.903e-12,+1.903e-12]
# f = 2.75987868999 + [-3.158e-13,+3.158e-13]
# 
# Solution 5 [precision: 7.54e-09]
# B = 0.229639663386 + [-1.28e-09,+1.28e-09]
# D = 1.00000000001 + [-3.769e-09,+3.769e-09]
# F = 0.229639663386 + [-3.271e-10,+3.271e-10]
# b = 2.66666666667 + [-1.132e-09,+1.132e-09]
# d = 1 + [-6.363e-11,+6.363e-11]
# f = 2.66666666667 + [-6.286e-11,+6.286e-11]
# 
# Solution 6 [precision: 1.19e-10]
# B = -0.229639663385 + [-1.808e-11,+1.808e-11]
# D = 1 + [-5.911e-11,+5.911e-11]
# F = -0.229639663385 + [-1.92e-11,+1.92e-11]
# b = 2.66666666667 + [-5.605e-11,+5.605e-11]
# d = 1.00000000001 + [-2.513e-12,+2.513e-12]
# f = 2.66666666667 + [-1.49e-12,+1.49e-12]
# 
# Solution 7 [precision: 1.98e-12]
# B = 0.1523562219 + [-2.236e-13,+2.236e-13]
# D = 0.682832053768 + [-6.872e-13,+6.873e-13]
# F = 0.218104692906 + [-7.692e-14,+7.694e-14]
# b = 3.50557990149 + [-9.868e-13,+9.868e-13]
# d = 1.28960705449 + [-2.088e-14,+2.088e-14]
# f = 2.75987868999 + [-7.55e-15,+7.994e-15]
# 
# Solution 8 [precision: 2.16e-09]
# B = 1.00000000001 + [-1.08e-09,+1.08e-09]
# D = 0.229639663386 + [-2.331e-10,+2.331e-10]
# F = 0.229639663386 + [-7.361e-11,+7.361e-11]
# b = 1 + [-3.551e-10,+3.551e-10]
# d = 2.66666666667 + [-4.357e-11,+4.357e-11]
# f = 2.66666666667 + [-8.204e-12,+8.205e-12]
# 
# Solution 9 [precision: 1.6e-14]
# B = 1 + [-6.551e-15,+6.662e-15]
# D = -0.229639663385 + [-1.222e-15,+1.25e-15]
# F = -0.229639663385 + [-2.11e-15,+2.138e-15]
# b = 1 + [-2.998e-15,+3.109e-15]
# d = 2.66666666667 + [-5.33e-15,+5.33e-15]
# f = 2.66666666667 + [-7.994e-15,+7.994e-15]
# 
# Solution 10 [precision: 4.91e-12]
# B = -0.939577877923 + [-1.217e-12,+1.217e-12]
# D = -1.23453643482 + [-2.451e-12,+2.451e-12]
# F = 0.329897478022 + [-2.842e-13,+2.842e-13]
# b = 1.04242498342 + [-2.818e-13,+2.818e-13]
# d = 0.868955211374 + [-3.098e-14,+3.098e-14]
# f = 2.09450147083 + [-2.754e-14,+2.798e-14]
# 
# Solution 11 [precision: 3.78e-12]
# B = -1.05046092941 + [-1.888e-12,+1.888e-12]
# D = -1.05046092941 + [-1.313e-12,+1.314e-12]
# F = 0.316513023528 + [-3.775e-15,+3.831e-15]
# b = 0.967713346223 + [-4.303e-13,+4.303e-13]
# d = 0.967713346223 + [-4.552e-14,+4.552e-14]
# f = 2.15314003867 + [-1.777e-15,+2.221e-15]
# 
# Solution 12 [precision: 1.93e-13]
# B = -1.23453643482 + [-9.637e-14,+9.659e-14]
# D = -0.939577877923 + [-3.376e-14,+3.387e-14]
# F = 0.329897478022 + [-1.105e-14,+1.111e-14]
# b = 0.868955211374 + [-1.477e-14,+1.477e-14]
# d = 1.04242498342 + [-7.106e-15,+7.328e-15]
# f = 2.09450147083 + [-1.288e-14,+1.333e-14]
# 



# Domains
var B >= -1.0e8, <= 1.0e8;
var D >= -1.0e8, <= 1.0e8;
var F >= -1.0e8, <= 1.0e8;
var b >= -1.0e8, <= 1.0e8;
var d >= -1.0e8, <= 1.0e8;
var f >= -1.0e8, <= 1.0e8;

subject to

cons1 : 3*(b-d)*(B-D) + (B+D)-6*F+4 = 0;

cons2 : 3*(b-d)*(B+D-2*F) + 5*(B-D) = 0;

cons3 : 3*(b-d)^2 - 6*(b+d) + 4*f + 3 = 0;

cons4 : B^2*b^3 = 1;
cons5 : D^2*d^3 = 1;
cons6 : F^2*f^3 = 1;

solve;
display B, D, F, b, d, f;