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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
 -- 0.000099542 seconds elapsed
 -- 0.000114401 seconds elapsed
 -- 0.000100731 seconds elapsed
 -- 0.000057021 seconds elapsed
 -- 0.000126281 seconds elapsed
 -- 0.000106772 seconds elapsed
 -- 0.00005386 seconds elapsed
 -- 0.000111881 seconds elapsed
 -- 0.00010357 seconds elapsed
 -- 0.000101661 seconds elapsed
 -- 0.000118121 seconds elapsed
 -- 0.000102542 seconds elapsed
 -- 0.000055021 seconds elapsed
 -- 0.000117601 seconds elapsed
 -- 0.000099581 seconds elapsed
 -- 0.00005276 seconds elapsed
 -- 0.000112521 seconds elapsed
 -- 0.000115852 seconds elapsed
 -- 0.00005567 seconds elapsed
 -- 0.000140922 seconds elapsed
 -- 0.000144211 seconds elapsed
 -- 0.000051712 seconds elapsed
 -- 0.000143501 seconds elapsed
 -- 0.00014965 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: