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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
 -- 0.000159671 seconds elapsed
 -- 0.000212612 seconds elapsed
 -- 0.000133072 seconds elapsed
 -- 0.000085312 seconds elapsed
 -- 0.000169172 seconds elapsed
 -- 0.000122402 seconds elapsed
 -- 0.000073501 seconds elapsed
 -- 0.000157591 seconds elapsed
 -- 0.000164941 seconds elapsed
 -- 0.000184062 seconds elapsed
 -- 0.000153781 seconds elapsed
 -- 0.000162531 seconds elapsed
 -- 0.000088891 seconds elapsed
 -- 0.000170481 seconds elapsed
 -- 0.000217142 seconds elapsed
 -- 0.000092031 seconds elapsed
 -- 0.000187782 seconds elapsed
 -- 0.000128311 seconds elapsed
 -- 0.000096621 seconds elapsed
 -- 0.000199422 seconds elapsed
 -- 0.000172251 seconds elapsed
 -- 0.0000692 seconds elapsed
 -- 0.000184222 seconds elapsed
 -- 0.000176382 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: