i1 : E = matrix({{ 5, 0, 1, 0, 1},
{ 0, 2, 1, 0, 0},
{ 1, 1, 1, 0, 0},
{ 0, 0, 0, 2, 1},
{ 1, 0, 0, 1, 1}})
o1 =  5 0 1 0 1 
 0 2 1 0 0 
 1 1 1 0 0 
 0 0 0 2 1 
 1 0 0 1 1 
5 5
o1 : Matrix ZZ < ZZ

i2 : F = matrix({{4,5,10,5,10}})
o2 =  4 5 10 5 10 
1 5
o2 : Matrix ZZ < ZZ

i3 : MultiplierIdeals(F,E,BiggestJN => 1)
1
o3 = Jumping number:  Multiplicity: 1 Multiplier ideal:  1 1 2 1 2  Maximal jumping divisor: { 1 0 1 0 1 }
2 Minimal jumping divisor: { 1 0 1 0 1 }
7
Jumping number:  Multiplicity: 2 Multiplier ideal:  2 2 4 2 4  Maximal jumping divisor: { 0 0 1 0 1 }
10 Minimal jumping divisor: { 0 0 1 0 1 }
9
Jumping number:  Multiplicity: 2 Multiplier ideal:  2 3 5 3 5  Maximal jumping divisor: { 0 0 1 0 1 }
10 Minimal jumping divisor: { 0 0 1 0 1 }
Jumping number: 1 Multiplicity: 1 Multiplier ideal:  3 3 6 3 6  Maximal jumping divisor: { 1 1 1 1 1 }
Minimal jumping divisor: { 1 0 1 0 1 }
o3 : Type of HashTable
