groebnerFan -- the fan of all groebner bases of an ideal

i1 : R = QQ[symbol a..symbol f];

i2 : I = pfaffians(4, genericSkewMatrix(R,4))

o2 = ideal(c*d - b*e + a*f)

o2 : Ideal of R

i3 : P = groebnerFan(I)
LP algorithm being used: "cddgmp".
LP algorithm being used: "cddgmp".

o3 = PolymakeObject{...11...}

o3 : PolymakeObject

i4 : peek P

o4 = PolymakeObject{AMBIENT_DIM => 6                                            }
                    CONES => {{}, {0}, {1}, {2}, {0, 1}, {0, 2}, {1, 2}}
                    DIM => 6
                    F_VECTOR => {1, 3, 3}
                    LINEALITY_DIM => 4
                    LINEALITY_SPACE => | 1 0 0 0 0  -1 |
                                       | 0 1 0 0 -1 0  |
                                       | 0 0 1 0 1  1  |
                                       | 0 0 0 1 1  1  |
                    MAXIMAL_CONES => {{}, {0}, {1}, {2}, {0, 1}, {0, 2}, {1, 2}}
                    N_RAYS => 3
                    ORTH_LINEALITY_SPACE => | 1 0 -1 -1 0 1 |
                                            | 0 1 -1 -1 1 0 |
                    PURE => 1
                    RAYS => | -2 1  1  1  1  -2 |
                            | 1  -2 1  1  -2 1  |
                            | 1  1  -2 -2 1  1  |