tropDef -- The co-complex of tropical faces of the deformation polytope.

i1 : R=QQ[x_0..x_3]

o1 = R

o1 : PolynomialRing

i2 : I=ideal(x_0*x_1,x_2*x_3)

o2 = ideal (x x , x x )
             0 1   2 3

o2 : Ideal of R

i3 : C=idealToComplex I

o3 = 1: x x  x x  x x  x x  
         0 2  1 2  0 3  1 3

o3 : complex of dim 1 embedded in dim 3 (printing facets)
     equidimensional, simplicial, F-vector {1, 4, 4, 0, 0}, Euler = -1

i4 : PT1C=PT1 C

o4 = 3: y y y y y y y y  
         0 1 2 3 4 5 6 7

o4 : complex of dim 3 embedded in dim 3 (printing facets)
     equidimensional, non-simplicial, F-vector {1, 8, 14, 8, 1}, Euler = 0

i5 : tropDefC=tropDef(C,PT1C)

o5 = 1: y y  y y  y y  y y  
         0 3  6 7  2 5  1 4

o5 : co-complex of dim 1 embedded in dim 3 (printing facets)
     equidimensional, non-simplicial, F-vector {0, 0, 4, 4, 1}, Euler = -1

i6 : tropDefC.grading

o6 = | -1 0  0  |
     | 1  0  0  |
     | -1 2  0  |
     | 0  -1 -1 |
     | 2  -1 -1 |
     | 0  1  -1 |
     | 0  -1 1  |
     | -1 0  2  |

              8        3
o6 : Matrix ZZ  <--- ZZ