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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
 -- 0.000110571 seconds elapsed
 -- 0.000145041 seconds elapsed
 -- 0.000143041 seconds elapsed
 -- 0.000071881 seconds elapsed
 -- 0.000138052 seconds elapsed
 -- 0.000107491 seconds elapsed
 -- 0.000069241 seconds elapsed
 -- 0.000126551 seconds elapsed
 -- 0.000109021 seconds elapsed
 -- 0.000123301 seconds elapsed
 -- 0.000127542 seconds elapsed
 -- 0.000121812 seconds elapsed
 -- 0.000080041 seconds elapsed
 -- 0.000147952 seconds elapsed
 -- 0.000126581 seconds elapsed
 -- 0.000060751 seconds elapsed
 -- 0.000144012 seconds elapsed
 -- 0.000108342 seconds elapsed
 -- 0.000056901 seconds elapsed
 -- 0.000153601 seconds elapsed
 -- 0.000142271 seconds elapsed
 -- 0.000057361 seconds elapsed
 -- 0.000149832 seconds elapsed
 -- 0.000151232 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: