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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
 -- 0.000186987 seconds elapsed
 -- 0.00016725 seconds elapsed
 -- 0.000159732 seconds elapsed
 -- 0.000121851 seconds elapsed
 -- 0.000198257 seconds elapsed
 -- 0.00017418 seconds elapsed
 -- 0.000093313 seconds elapsed
 -- 0.00018271 seconds elapsed
 -- 0.000165166 seconds elapsed
 -- 0.000277772 seconds elapsed
 -- 0.000296629 seconds elapsed
 -- 0.000247258 seconds elapsed
 -- 0.000124466 seconds elapsed
 -- 0.000295128 seconds elapsed
 -- 0.00026271 seconds elapsed
 -- 0.000123987 seconds elapsed
 -- 0.000293982 seconds elapsed
 -- 0.00024017 seconds elapsed
 -- 0.000148498 seconds elapsed
 -- 0.000344061 seconds elapsed
 -- 0.000336316 seconds elapsed
 -- 0.000123511 seconds elapsed
 -- 0.00031301 seconds elapsed
 -- 0.000356825 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: