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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
 -- 0.000103785 seconds elapsed
 -- 0.000100853 seconds elapsed
 -- 0.000103449 seconds elapsed
 -- 0.000055837 seconds elapsed
 -- 0.00010854 seconds elapsed
 -- 0.000117678 seconds elapsed
 -- 0.000054942 seconds elapsed
 -- 0.000101636 seconds elapsed
 -- 0.000096317 seconds elapsed
 -- 0.000097271 seconds elapsed
 -- 0.000103244 seconds elapsed
 -- 0.000101888 seconds elapsed
 -- 0.000053894 seconds elapsed
 -- 0.000114643 seconds elapsed
 -- 0.000119468 seconds elapsed
 -- 0.000056514 seconds elapsed
 -- 0.000106918 seconds elapsed
 -- 0.000100993 seconds elapsed
 -- 0.000055733 seconds elapsed
 -- 0.000132364 seconds elapsed
 -- 0.000139206 seconds elapsed
 -- 0.000054229 seconds elapsed
 -- 0.000151816 seconds elapsed
 -- 0.00015043 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: