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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
 -- 0.00020995 seconds elapsed
 -- 0.000178701 seconds elapsed
 -- 0.000179194 seconds elapsed
 -- 0.00011006 seconds elapsed
 -- 0.000215362 seconds elapsed
 -- 0.000175175 seconds elapsed
 -- 0.000096304 seconds elapsed
 -- 0.000192258 seconds elapsed
 -- 0.000161052 seconds elapsed
 -- 0.00018565 seconds elapsed
 -- 0.0002013 seconds elapsed
 -- 0.000158387 seconds elapsed
 -- 0.000097878 seconds elapsed
 -- 0.000196039 seconds elapsed
 -- 0.000161104 seconds elapsed
 -- 0.000091954 seconds elapsed
 -- 0.000197203 seconds elapsed
 -- 0.000155455 seconds elapsed
 -- 0.00009985 seconds elapsed
 -- 0.000251794 seconds elapsed
 -- 0.000214725 seconds elapsed
 -- 0.000091224 seconds elapsed
 -- 0.000226339 seconds elapsed
 -- 0.000213453 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: