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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
 -- 0.000134951 seconds elapsed
 -- 0.00014364 seconds elapsed
 -- 0.000129804 seconds elapsed
 -- 0.000062831 seconds elapsed
 -- 0.000140288 seconds elapsed
 -- 0.000113051 seconds elapsed
 -- 0.000060698 seconds elapsed
 -- 0.000134114 seconds elapsed
 -- 0.00011007 seconds elapsed
 -- 0.000121362 seconds elapsed
 -- 0.000134787 seconds elapsed
 -- 0.000114103 seconds elapsed
 -- 0.00006033 seconds elapsed
 -- 0.000143884 seconds elapsed
 -- 0.000142023 seconds elapsed
 -- 0.000059876 seconds elapsed
 -- 0.000145289 seconds elapsed
 -- 0.000113603 seconds elapsed
 -- 0.000060572 seconds elapsed
 -- 0.000167341 seconds elapsed
 -- 0.000148055 seconds elapsed
 -- 0.00006143 seconds elapsed
 -- 0.000166381 seconds elapsed
 -- 0.000157931 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: