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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
 -- 0.000104206 seconds elapsed
 -- 0.000133431 seconds elapsed
 -- 0.000107481 seconds elapsed
 -- 0.000054723 seconds elapsed
 -- 0.000135594 seconds elapsed
 -- 0.000110268 seconds elapsed
 -- 0.000056937 seconds elapsed
 -- 0.000117652 seconds elapsed
 -- 0.000104236 seconds elapsed
 -- 0.000107061 seconds elapsed
 -- 0.00013823 seconds elapsed
 -- 0.000126357 seconds elapsed
 -- 0.000056486 seconds elapsed
 -- 0.000147326 seconds elapsed
 -- 0.000113905 seconds elapsed
 -- 0.000053851 seconds elapsed
 -- 0.000136677 seconds elapsed
 -- 0.000102933 seconds elapsed
 -- 0.000056466 seconds elapsed
 -- 0.000153079 seconds elapsed
 -- 0.000160723 seconds elapsed
 -- 0.000054604 seconds elapsed
 -- 0.000147908 seconds elapsed
 -- 0.000159019 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: