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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
 -- 0.000158254 seconds elapsed
 -- 0.000191684 seconds elapsed
 -- 0.000157399 seconds elapsed
 -- 0.000088307 seconds elapsed
 -- 0.000174095 seconds elapsed
 -- 0.000184946 seconds elapsed
 -- 0.000084538 seconds elapsed
 -- 0.000159931 seconds elapsed
 -- 0.000151422 seconds elapsed
 -- 0.000176522 seconds elapsed
 -- 0.000165092 seconds elapsed
 -- 0.000156592 seconds elapsed
 -- 0.000100326 seconds elapsed
 -- 0.000191529 seconds elapsed
 -- 0.000160199 seconds elapsed
 -- 0.000091967 seconds elapsed
 -- 0.000215563 seconds elapsed
 -- 0.000161639 seconds elapsed
 -- 0.000104149 seconds elapsed
 -- 0.000238145 seconds elapsed
 -- 0.000217232 seconds elapsed
 -- 0.000084671 seconds elapsed
 -- 0.000217215 seconds elapsed
 -- 0.000242295 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: