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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
 -- 0.000132136 seconds elapsed
 -- 0.000139604 seconds elapsed
 -- 0.000122166 seconds elapsed
 -- 0.000072781 seconds elapsed
 -- 0.000152918 seconds elapsed
 -- 0.000124674 seconds elapsed
 -- 0.000067565 seconds elapsed
 -- 0.000138799 seconds elapsed
 -- 0.000123021 seconds elapsed
 -- 0.000131812 seconds elapsed
 -- 0.000140677 seconds elapsed
 -- 0.000129127 seconds elapsed
 -- 0.000073236 seconds elapsed
 -- 0.000145062 seconds elapsed
 -- 0.00012237 seconds elapsed
 -- 0.000074268 seconds elapsed
 -- 0.000144961 seconds elapsed
 -- 0.000141828 seconds elapsed
 -- 0.000071208 seconds elapsed
 -- 0.000183755 seconds elapsed
 -- 0.000172174 seconds elapsed
 -- 0.000066209 seconds elapsed
 -- 0.000176592 seconds elapsed
 -- 0.000174003 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: