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SubalgebraBases :: generators(SAGBIBasis)

generators(SAGBIBasis) -- Returns a partial sagbi generating set

Synopsis

Description

Returns the current list of sagbiGenerators of the underlying Subring. If the SAGBIBasis is not a complete sagbi basis (for example it is obtained from a partial computation) then the generators obtained from this command may not be a generating set for the original subring.

i1 : R = QQ[x,y];
i2 : S = subring {x*y, x^2*y, x^3*y};
i3 : gens S

o3 = | xy x2y x3y |

             1       3
o3 : Matrix R  <--- R
i4 : SB = sagbi(S, Limit => 3);
i5 : gens SB

o5 = | xy x2y |

             1       2
o5 : Matrix R  <--- R
i6 : isSAGBI S
 -- 0.000137073 seconds elapsed
 -- 0.000150437 seconds elapsed
 -- 0.000130738 seconds elapsed
 -- 0.000072597 seconds elapsed
 -- 0.000156859 seconds elapsed
 -- 0.000133188 seconds elapsed
 -- 0.000073007 seconds elapsed
 -- 0.000157041 seconds elapsed
 -- 0.000132218 seconds elapsed
 -- 0.000134174 seconds elapsed
 -- 0.000153853 seconds elapsed
 -- 0.000129238 seconds elapsed
 -- 0.000071521 seconds elapsed
 -- 0.000154984 seconds elapsed
 -- 0.00013251 seconds elapsed
 -- 0.000069962 seconds elapsed
 -- 0.000150138 seconds elapsed
 -- 0.000129585 seconds elapsed
 -- 0.000071321 seconds elapsed
 -- 0.000181735 seconds elapsed
 -- 0.000177183 seconds elapsed
 -- 0.00007283 seconds elapsed
 -- 0.000173389 seconds elapsed
 -- 0.000176918 seconds elapsed
timing raw subduction
timing raw subduction
timing raw subduction
timing raw subduction
timing raw subduction
timing raw subduction
timing raw subduction
timing raw subduction

o6 = true
i7 : isSAGBI SB

o7 = false

See also

Ways to use this method: