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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
 -- 0.000104387 seconds elapsed
 -- 0.000118081 seconds elapsed
 -- 0.000092746 seconds elapsed
 -- 0.000054949 seconds elapsed
 -- 0.000107285 seconds elapsed
 -- 0.000085766 seconds elapsed
 -- 0.000055734 seconds elapsed
 -- 0.000103251 seconds elapsed
 -- 0.000087526 seconds elapsed
 -- 0.00010118 seconds elapsed
 -- 0.000097042 seconds elapsed
 -- 0.000089377 seconds elapsed
 -- 0.000050812 seconds elapsed
 -- 0.000111013 seconds elapsed
 -- 0.000082955 seconds elapsed
 -- 0.000057442 seconds elapsed
 -- 0.000111569 seconds elapsed
 -- 0.000081288 seconds elapsed
 -- 0.000058068 seconds elapsed
 -- 0.000134315 seconds elapsed
 -- 0.00013474 seconds elapsed
 -- 0.000043123 seconds elapsed
 -- 0.000123187 seconds elapsed
 -- 0.000122551 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: