? Phi is a lite version of describe Phi. The latter has a different behavior than describe(RationalMap), since it performs computations.
i1 : Phi = multirationalMap graph rationalMap PP_(ZZ/65521)^(1,4); o1 : MultirationalMap (rational map from 4-dimensional subvariety of PP^4 x PP^5 to PP^4 x PP^5) |
i2 : time ? Phi -- used 0.000409378 seconds o2 = multi-rational map consisting of 2 rational maps source variety: 4-dimensional subvariety of PP^4 x PP^5 cut out by 9 target variety: PP^4 x PP^5 ------------------------------------------------------------------------ hypersurfaces of multi-degrees (0,2)^1 (1,1)^8 |
i3 : image Phi; o3 : ProjectiveVariety, 4-dimensional subvariety of PP^4 x PP^5 |
i4 : time ? Phi -- used 0.000396963 seconds o4 = multi-rational map consisting of 2 rational maps source variety: 4-dimensional subvariety of PP^4 x PP^5 cut out by 9 hypersurfaces of multi-degrees (0,2)^1 (1,1)^8 target variety: PP^4 x PP^5 dominance: false image: 4-dimensional subvariety of PP^4 x PP^5 cut out by 9 hypersurfaces of multi-degrees (0,2)^1 (1,1)^8 |
i5 : time describe Phi -- used 3.16297 seconds o5 = multi-rational map consisting of 2 rational maps source variety: 4-dimensional subvariety of PP^4 x PP^5 cut out by 9 hypersurfaces of multi-degrees (0,2)^1 (1,1)^8 target variety: PP^4 x PP^5 base locus: empty subscheme of PP^4 x PP^5 dominance: false image: 4-dimensional subvariety of PP^4 x PP^5 cut out by 9 hypersurfaces of multi-degrees (0,2)^1 (1,1)^8 multidegree: {51, 51, 51, 51, 51} degree: 1 degree sequence (map 1/2): [(1,0), (0,2)] degree sequence (map 2/2): [(0,1), (2,0)] coefficient ring: ZZ/65521 |
i6 : time ? Phi -- used 0.000564758 seconds o6 = multi-rational map consisting of 2 rational maps source variety: 4-dimensional subvariety of PP^4 x PP^5 cut out by 9 hypersurfaces of multi-degrees (0,2)^1 (1,1)^8 target variety: PP^4 x PP^5 base locus: empty subscheme of PP^4 x PP^5 dominance: false image: 4-dimensional subvariety of PP^4 x PP^5 cut out by 9 hypersurfaces of multi-degrees (0,2)^1 (1,1)^8 multidegree: {51, 51, 51, 51, 51} degree: 1 |