All internal data of the input are included in the returned string.
i1 : phi = (specialCubicTransformation(2,ZZ/33331))!; o1 : RationalMap (cubic birational map from PP^3 to hypersurface in PP^4) |
i2 : str = toExternalString phi; |
i3 : #str o3 = 7432 |
i4 : time phi' = value str; -- used 0.0136545 seconds o4 : RationalMap (cubic birational map from PP^3 to hypersurface in PP^4) |
i5 : time describe phi' -- used 0.00456962 seconds o5 = rational map defined by forms of degree 3 source variety: PP^3 target variety: smooth quadric hypersurface in PP^4 dominance: true birationality: true (the inverse map is already calculated) projective degrees: {1, 3, 4, 2} number of minimal representatives: 1 dimension base locus: 1 degree base locus: 5 coefficient ring: ZZ/33331 |
i6 : time describe inverse phi' -- used 0.00549712 seconds o6 = rational map defined by forms of degree 2 source variety: smooth quadric hypersurface in PP^4 target variety: PP^3 dominance: true birationality: true (the inverse map is already calculated) projective degrees: {2, 4, 3, 1} number of minimal representatives: 1 dimension base locus: 1 degree base locus: 5 coefficient ring: ZZ/33331 |