Jacobian Conjecture Explorer

Jacobian Determinant (det J)
< 0 1 > 2
The Jacobian Conjecture states that if a polynomial map from ℂ² to ℂ² has a constant non-zero Jacobian determinant, it has a polynomial inverse. Try to find a map with a constant Jacobian (uniform color) that folds over itself (not invertible).
u = x
v = y

u = P(x,y) Coefficients

1.0
0.0
0.0
0.0
0.0

v = Q(x,y) Coefficients

0.0
1.0
0.0
0.0