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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
 -- 0.00010303 seconds elapsed
 -- 0.000122911 seconds elapsed
 -- 0.000110509 seconds elapsed
 -- 0.0000588 seconds elapsed
 -- 0.000123721 seconds elapsed
 -- 0.0001077 seconds elapsed
 -- 0.00005396 seconds elapsed
 -- 0.000114551 seconds elapsed
 -- 0.00013059 seconds elapsed
 -- 0.000120001 seconds elapsed
 -- 0.0001255 seconds elapsed
 -- 0.00010713 seconds elapsed
 -- 0.0000528 seconds elapsed
 -- 0.000120391 seconds elapsed
 -- 0.00010369 seconds elapsed
 -- 0.00005866 seconds elapsed
 -- 0.000121951 seconds elapsed
 -- 0.00010587 seconds elapsed
 -- 0.00005731 seconds elapsed
 -- 0.000143041 seconds elapsed
 -- 0.00014526 seconds elapsed
 -- 0.00005944 seconds elapsed
 -- 0.00015303 seconds elapsed
 -- 0.000166252 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: