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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
 -- 0.000191459 seconds elapsed
 -- 0.000226794 seconds elapsed
 -- 0.000194874 seconds elapsed
 -- 0.0001068 seconds elapsed
 -- 0.000234028 seconds elapsed
 -- 0.000196417 seconds elapsed
 -- 0.000100669 seconds elapsed
 -- 0.00022435 seconds elapsed
 -- 0.000198371 seconds elapsed
 -- 0.000193923 seconds elapsed
 -- 0.000229058 seconds elapsed
 -- 0.000189274 seconds elapsed
 -- 0.000107351 seconds elapsed
 -- 0.000236553 seconds elapsed
 -- 0.000230582 seconds elapsed
 -- 0.000098565 seconds elapsed
 -- 0.00022923 seconds elapsed
 -- 0.0001977 seconds elapsed
 -- 0.000115346 seconds elapsed
 -- 0.000291305 seconds elapsed
 -- 0.000268943 seconds elapsed
 -- 0.000100909 seconds elapsed
 -- 0.000271087 seconds elapsed
 -- 0.000274804 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: