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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
 -- 0.000220102 seconds elapsed
 -- 0.000239939 seconds elapsed
 -- 0.00020303 seconds elapsed
 -- 0.000099536 seconds elapsed
 -- 0.000225674 seconds elapsed
 -- 0.000207208 seconds elapsed
 -- 0.000104355 seconds elapsed
 -- 0.000215674 seconds elapsed
 -- 0.000200224 seconds elapsed
 -- 0.000190767 seconds elapsed
 -- 0.000225864 seconds elapsed
 -- 0.000195457 seconds elapsed
 -- 0.000100888 seconds elapsed
 -- 0.000247844 seconds elapsed
 -- 0.000196619 seconds elapsed
 -- 0.000107131 seconds elapsed
 -- 0.000234679 seconds elapsed
 -- 0.000216004 seconds elapsed
 -- 0.000101229 seconds elapsed
 -- 0.00026722 seconds elapsed
 -- 0.000278551 seconds elapsed
 -- 0.000098754 seconds elapsed
 -- 0.000289312 seconds elapsed
 -- 0.000287538 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: