jumpingNumbers(..., Interval => ...) -- interval for jumping numbers

i1 : R = QQ[x,y];

i2 : I = monomialIdeal(y^2,x^3);

o2 : MonomialIdeal of R

i3 : jumpingNumbers(I) -- default: interval [5/6, 2]
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4

       5  7  4  3  5  11                                2           2        2           2        3           2   2    3        
o3 = {{-, -, -, -, -, --, 2}, {ideal (y, x), ideal (y, x ), ideal (y , x*y, x ), ideal (y , x*y, x ), ideal (y , x y, x ), ideal
       6  6  3  2  3   6
     ----------------------------------------------------------------------------------------------------------------------------
       3     2   2    4           3     2   3    4
     (y , x*y , x y, x ), ideal (y , x*y , x y, x )}}

o3 : List

i4 : jumpingNumbers(I,Interval=>{1,3/2}) -- [1,3/2]
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4

       7  4  3               2           2        2           2        3
o4 = {{-, -, -}, {ideal (y, x ), ideal (y , x*y, x ), ideal (y , x*y, x )}}
       6  3  2

o4 : List

i5 : jumpingNumbers(I,IntervalType=>"Open") -- (5/6,2)
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4

       7  4  3  5  11               2           2        2           2        3           2   2    3           3     2   2  
o5 = {{-, -, -, -, --}, {ideal (y, x ), ideal (y , x*y, x ), ideal (y , x*y, x ), ideal (y , x y, x ), ideal (y , x*y , x y,
       6  3  2  3   6
     ----------------------------------------------------------------------------------------------------------------------------
      4
     x )}}

o5 : List

i6 : jumpingNumbers(I,Interval=>{1,3/2},IntervalType=>"ClosedOpen") -- [1,3/2)
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4
Using Normaliz integer input types is deprecated, please use rees_algebra instead of 3
Using Normaliz integer input types is deprecated, please use inequalities instead of 4

       7  4               2           2        2
o6 = {{-, -}, {ideal (y, x ), ideal (y , x*y, x )}}
       6  3

o6 : List