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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
 -- 0.000066334 seconds elapsed
 -- 0.000065917 seconds elapsed
 -- 0.000058084 seconds elapsed
 -- 0.000045291 seconds elapsed
 -- 0.000079542 seconds elapsed
 -- 0.000056875 seconds elapsed
 -- 0.000034208 seconds elapsed
 -- 0.000069917 seconds elapsed
 -- 0.000054333 seconds elapsed
 -- 0.0000665 seconds elapsed
 -- 0.000065417 seconds elapsed
 -- 0.000056 seconds elapsed
 -- 0.000031959 seconds elapsed
 -- 0.000066375 seconds elapsed
 -- 0.0000535 seconds elapsed
 -- 0.000030917 seconds elapsed
 -- 0.000067875 seconds elapsed
 -- 0.0000545 seconds elapsed
 -- 0.000039917 seconds elapsed
 -- 0.000087958 seconds elapsed
 -- 0.000077417 seconds elapsed
 -- 0.000041208 seconds elapsed
 -- 0.00009525 seconds elapsed
 -- 0.000089917 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: