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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
 -- 0.000195225 seconds elapsed
 -- 0.000231844 seconds elapsed
 -- 0.000204703 seconds elapsed
 -- 0.000107862 seconds elapsed
 -- 0.000242594 seconds elapsed
 -- 0.000195326 seconds elapsed
 -- 0.0001065 seconds elapsed
 -- 0.000226273 seconds elapsed
 -- 0.000218419 seconds elapsed
 -- 0.000212087 seconds elapsed
 -- 0.000233347 seconds elapsed
 -- 0.000191809 seconds elapsed
 -- 0.000099818 seconds elapsed
 -- 0.000236151 seconds elapsed
 -- 0.000193041 seconds elapsed
 -- 0.000104255 seconds elapsed
 -- 0.000234549 seconds elapsed
 -- 0.000206045 seconds elapsed
 -- 0.000101419 seconds elapsed
 -- 0.000292387 seconds elapsed
 -- 0.000269443 seconds elapsed
 -- 0.000101249 seconds elapsed
 -- 0.000278732 seconds elapsed
 -- 0.000287708 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: