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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
 -- 0.000127101 seconds elapsed
 -- 0.000136651 seconds elapsed
 -- 0.00011128 seconds elapsed
 -- 0.00007232 seconds elapsed
 -- 0.000146601 seconds elapsed
 -- 0.00010687 seconds elapsed
 -- 0.00007586 seconds elapsed
 -- 0.000138552 seconds elapsed
 -- 0.00010898 seconds elapsed
 -- 0.000127941 seconds elapsed
 -- 0.000130341 seconds elapsed
 -- 0.00010718 seconds elapsed
 -- 0.00005676 seconds elapsed
 -- 0.000126312 seconds elapsed
 -- 0.000105471 seconds elapsed
 -- 0.00005417 seconds elapsed
 -- 0.000159571 seconds elapsed
 -- 0.00010917 seconds elapsed
 -- 0.00005688 seconds elapsed
 -- 0.000151081 seconds elapsed
 -- 0.0001388 seconds elapsed
 -- 0.00005821 seconds elapsed
 -- 0.000159531 seconds elapsed
 -- 0.00015459 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: