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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
 -- 0.000110819 seconds elapsed
 -- 0.000121941 seconds elapsed
 -- 0.000113344 seconds elapsed
 -- 0.00005813 seconds elapsed
 -- 0.000139353 seconds elapsed
 -- 0.000111731 seconds elapsed
 -- 0.000057148 seconds elapsed
 -- 0.000126479 seconds elapsed
 -- 0.000112232 seconds elapsed
 -- 0.000101551 seconds elapsed
 -- 0.000120427 seconds elapsed
 -- 0.000104138 seconds elapsed
 -- 0.00006867 seconds elapsed
 -- 0.000129624 seconds elapsed
 -- 0.000107793 seconds elapsed
 -- 0.000055825 seconds elapsed
 -- 0.000125617 seconds elapsed
 -- 0.000113253 seconds elapsed
 -- 0.000056937 seconds elapsed
 -- 0.000148231 seconds elapsed
 -- 0.000145766 seconds elapsed
 -- 0.000056025 seconds elapsed
 -- 0.000164991 seconds elapsed
 -- 0.000150924 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: