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)
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i2 : str = toExternalString phi;
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i3 : #str
o3 = 6927
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i4 : time phi' = value str;
-- used 0.0199782s (cpu); 0.0192169s (thread); 0s (gc)
o4 : RationalMap (cubic birational map from PP^3 to hypersurface in PP^4)
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i5 : time describe phi'
-- used 0.00487199s (cpu); 0.00526896s (thread); 0s (gc)
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
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i6 : time describe inverse phi'
-- used 0.00331101s (cpu); 0.00384624s (thread); 0s (gc)
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
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