VGIT PROGRAM VERSION 0.6.11
By Patricio Gallardo and Jesus Martinez-Garcia
VGIT of Hypersurfaces
Solving the problem


This is a problem of VGIT, we parametrize pairs of hypersurfaces in projective space and divisors given by restriction of hypersurfaces in that projective space
Dimension:  1
Degree:  4
The are 7 walls, including the first and last
There are 6 chambers
The walls are:
[0, 1/2, 4/5, 1, 8/7, 7/5, 2]
The chambers are:
[1/10, 17/28, 9/10, 15/14, 67/56, 52/35]
Both walls and chambers:
[0, 1/10, 1/2, 17/28, 4/5, 9/10, 1, 15/14, 8/7, 67/56, 7/5, 52/35, 2]
The fundamental set of one-parameter subgroups is
(1, 0, -1)
(7, -2, -5)
(1, 1, -2)
(2, -1, -1)
(5, 2, -7)
(5, -1, -4)
(4, 1, -5)



WARNING: At t= 17/28  the pair N^+ ((7, -2, -5), (0, 0, 1)) is different
Previous pair:  (MonFrozenSet([(1, 3, 0), (2, 1, 1), (3, 0, 1), (4, 0, 0), (2, 2, 0), (2, 0, 2), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
Pair at t= 17/28 : (MonFrozenSet([(2, 1, 1), (3, 1, 0), (4, 0, 0), (2, 2, 0), (2, 0, 2), (3, 0, 1)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
WARNING: At t= 4/5  the pair N^+ ((7, -2, -5), (0, 0, 1)) is different
Previous pair:  (MonFrozenSet([(1, 3, 0), (2, 1, 1), (3, 0, 1), (4, 0, 0), (2, 2, 0), (2, 0, 2), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
Pair at t= 4/5 : (MonFrozenSet([(2, 1, 1), (3, 1, 0), (4, 0, 0), (2, 2, 0), (2, 0, 2), (3, 0, 1)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
WARNING: At t= 9/10  the pair N^+ ((1, 0, -1), (0, 0, 1)) is different
Previous pair:  (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 0, 2), (3, 0, 1), (4, 0, 0), (1, 2, 1), (2, 1, 1), (2, 2, 0), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
Pair at t= 9/10 : (MonFrozenSet([(1, 3, 0), (2, 2, 0), (3, 1, 0), (4, 0, 0), (2, 1, 1), (3, 0, 1)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
WARNING: At t= 9/10  the pair N^+ ((5, 2, -7), (0, 0, 1)) is different
Previous pair:  (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0), (2, 1, 1), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
Pair at t= 9/10 : (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
WARNING: At t= 1  the pair N^+ ((1, 0, -1), (0, 0, 1)) is different
Previous pair:  (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 0, 2), (3, 0, 1), (4, 0, 0), (1, 2, 1), (2, 1, 1), (2, 2, 0), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
Pair at t= 1 : (MonFrozenSet([(1, 3, 0), (2, 2, 0), (3, 1, 0), (4, 0, 0), (2, 1, 1), (3, 0, 1)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
WARNING: At t= 1  the pair N^+ ((5, 2, -7), (0, 0, 1)) is different
Previous pair:  (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0), (2, 1, 1), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
Pair at t= 1 : (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
WARNING: At t= 15/14  the pair N^+ ((5, 2, -7), (0, 0, 1)) is different
Previous pair:  (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0), (2, 1, 1), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
Pair at t= 15/14 : (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
WARNING: At t= 8/7  the pair N^+ ((5, 2, -7), (0, 0, 1)) is different
Previous pair:  (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0), (2, 1, 1), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
Pair at t= 8/7 : (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
WARNING: At t= 67/56  the pair N^+ ((4, 1, -5), (0, 0, 1)) is different
Previous pair:  (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0), (2, 1, 1), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
Pair at t= 67/56 : (MonFrozenSet([(3, 1, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
WARNING: At t= 67/56  the pair N^+ ((1, 1, -2), (0, 0, 1)) is different
Previous pair:  (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0), (0, 3, 1), (1, 2, 1), (2, 1, 1), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
Pair at t= 67/56 : (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 1, 0), (4, 0, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
WARNING: At t= 7/5  the pair N^+ ((4, 1, -5), (0, 0, 1)) is different
Previous pair:  (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0), (2, 1, 1), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
Pair at t= 7/5 : (MonFrozenSet([(3, 1, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
WARNING: At t= 7/5  the pair N^+ ((1, 1, -2), (0, 0, 1)) is different
Previous pair:  (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0), (0, 3, 1), (1, 2, 1), (2, 1, 1), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
Pair at t= 7/5 : (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 1, 0), (4, 0, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
WARNING: At t= 7/5  the pair N^+ ((5, -1, -4), (1, 0, 0)) is different
Previous pair:  (MonFrozenSet([(0, 4, 0), (1, 1, 2), (2, 0, 2), (3, 0, 1), (1, 2, 1), (1, 3, 0), (2, 1, 1), (2, 2, 0), (3, 1, 0), (4, 0, 0)]), MonFrozenSet([(1, 0, 0)]))
Pair at t= 7/5 : (MonFrozenSet([(0, 4, 0), (1, 1, 2), (2, 0, 2), (3, 0, 1), (1, 0, 3), (0, 3, 1), (1, 3, 0), (2, 1, 1), (2, 2, 0), (3, 1, 0), (1, 2, 1), (4, 0, 0)]), MonFrozenSet([(1, 0, 0)]))
WARNING: At t= 52/35  the pair N^+ ((5, -1, -4), (1, 0, 0)) is different
Previous pair:  (MonFrozenSet([(0, 4, 0), (1, 1, 2), (2, 0, 2), (3, 0, 1), (1, 2, 1), (1, 3, 0), (2, 1, 1), (2, 2, 0), (3, 1, 0), (4, 0, 0)]), MonFrozenSet([(1, 0, 0)]))
Pair at t= 52/35 : (MonFrozenSet([(0, 4, 0), (1, 1, 2), (2, 0, 2), (3, 0, 1), (1, 0, 3), (0, 3, 1), (1, 3, 0), (2, 1, 1), (2, 2, 0), (3, 1, 0), (1, 2, 1), (4, 0, 0)]), MonFrozenSet([(1, 0, 0)]))
WARNING: At t= 52/35  the pair N^+ ((1, 1, -2), (0, 0, 1)) is different
Previous pair:  (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0), (0, 3, 1), (1, 2, 1), (2, 1, 1), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
Pair at t= 52/35 : (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 1, 0), (4, 0, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
WARNING: At t= 2  the pair N^+ ((1, 1, -2), (0, 0, 1)) is different
Previous pair:  (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0), (0, 3, 1), (1, 2, 1), (2, 1, 1), (3, 1, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
Pair at t= 2 : (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 1, 0), (4, 0, 0)]), MonFrozenSet([(0, 0, 1), (0, 1, 0), (1, 0, 0)]))
WARNING: At t= 2  the pair N^+ ((2, -1, -1), (1, 0, 0)) is different
Previous pair:  (MonFrozenSet([(1, 1, 2), (2, 0, 2), (3, 0, 1), (1, 0, 3), (1, 3, 0), (2, 1, 1), (2, 2, 0), (3, 1, 0), (1, 2, 1), (4, 0, 0)]), MonFrozenSet([(1, 0, 0)]))
Pair at t= 2 : (MonFrozenSet([(0, 0, 4), (0, 1, 3), (2, 0, 2), (3, 0, 1), (1, 0, 3), (0, 4, 0), (1, 1, 2), (1, 2, 1), (2, 1, 1), (2, 2, 0), (3, 1, 0), (1, 3, 0), (4, 0, 0), (0, 2, 2), (0, 3, 1)]), MonFrozenSet([(1, 0, 0)]))
WARNING: At t= 2  the pair N^+ ((1, 1, -2), (0, 1, 0)) is different
Previous pair:  (MonFrozenSet([(0, 4, 0), (1, 3, 0), (2, 2, 0), (3, 0, 1), (4, 0, 0), (0, 3, 1), (1, 2, 1), (2, 1, 1), (3, 1, 0)]), MonFrozenSet([(0, 1, 0), (1, 0, 0)]))
Pair at t= 2 : (MonFrozenSet([(0, 4, 0), (1, 1, 2), (2, 0, 2), (3, 0, 1), (1, 2, 1), (0, 3, 1), (1, 3, 0), (2, 1, 1), (2, 2, 0), (3, 1, 0), (4, 0, 0), (0, 2, 2)]), MonFrozenSet([(0, 1, 0), (1, 0, 0)]))
unused one-parameter subgroups:
OPS_set([])
Solution for t= 0  which is a wall.
((1, 0, -1), (0, 0, 1)) New
((1, 1, -2), (0, 0, 1)) New



++++++++++++++++++++++++++++++++++++++++++++++
( 1 )  OPS= (1, 0, -1) 
Variable:x_ 2 


N^+( (1, 0, -1) ,x_ 2 )
Monomials variety (general element): (0, 4, 0) , (1, 3, 0) , (2, 0, 2) , (3, 0, 1) , (4, 0, 0) , (1, 2, 1) , (2, 1, 1) , (2, 2, 0) , (3, 1, 0) , 
Monomials divisor (general element): (0, 0, 1) , (0, 1, 0) , (1, 0, 0) , 

The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (1, 0, -1) ,x_ 2 )
Monomials variety (potential closed orbit): (0, 4, 0) , (1, 2, 1) , (2, 0, 2) , 
Monomials divisor (potential closed orbit): (0, 0, 1) , 


++++++++++++++++++++++++++++++++++++++++++++++
( 2 )  OPS= (1, 1, -2) 
Variable:x_ 2 


N^+( (1, 1, -2) ,x_ 2 )
Monomials variety (general element): (0, 4, 0) , (1, 3, 0) , (2, 2, 0) , (3, 0, 1) , (4, 0, 0) , (0, 3, 1) , (1, 2, 1) , (2, 1, 1) , (3, 1, 0) , 
Monomials divisor (general element): (0, 0, 1) , (0, 1, 0) , (1, 0, 0) , 

The pair is not semistable
========================================================

Solution for t= 1/10  which is a chamber.
((7, -2, -5), (0, 0, 1)) New
((1, 0, -1), (0, 1, 0)) New
((1, 1, -2), (0, 0, 1)) New



++++++++++++++++++++++++++++++++++++++++++++++
( 1 )  OPS= (7, -2, -5) 
Variable:x_ 2 


N^+( (7, -2, -5) ,x_ 2 )
Monomials variety (general element): (1, 3, 0) , (2, 1, 1) , (3, 0, 1) , (4, 0, 0) , (2, 2, 0) , (2, 0, 2) , (3, 1, 0) , 
Monomials divisor (general element): (0, 0, 1) , (0, 1, 0) , (1, 0, 0) , 

The pair is not semistable
++++++++++++++++++++++++++++++++++++++++++++++
( 2 )  OPS= (1, 0, -1) 
Variable:x_ 1 


N^+( (1, 0, -1) ,x_ 1 )
Monomials variety (general element): (0, 4, 0) , (1, 3, 0) , (2, 0, 2) , (3, 0, 1) , (4, 0, 0) , (1, 2, 1) , (2, 1, 1) , (2, 2, 0) , (3, 1, 0) , 
Monomials divisor (general element): (0, 1, 0) , (1, 0, 0) , 

The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (1, 0, -1) ,x_ 1 )
Monomials variety (potential closed orbit): (0, 4, 0) , (1, 2, 1) , (2, 0, 2) , 
Monomials divisor (potential closed orbit): (0, 1, 0) , 


++++++++++++++++++++++++++++++++++++++++++++++
( 3 )  OPS= (1, 1, -2) 
Variable:x_ 2 


N^+( (1, 1, -2) ,x_ 2 )
Monomials variety (general element): (0, 4, 0) , (1, 3, 0) , (2, 2, 0) , (3, 0, 1) , (4, 0, 0) , (0, 3, 1) , (1, 2, 1) , (2, 1, 1) , (3, 1, 0) , 
Monomials divisor (general element): (0, 0, 1) , (0, 1, 0) , (1, 0, 0) , 

The pair is not semistable
========================================================

Solution for t= 1/2  which is a wall.
((1, 0, -1), (0, 1, 0)) Same
((2, -1, -1), (1, 0, 0)) New
((5, -1, -4), (0, 0, 1)) New
((4, 1, -5), (1, 0, 0)) New
((1, 1, -2), (0, 0, 1)) Same but becomes semistable
Disappeared: ((7, -2, -5), (0, 0, 1))



++++++++++++++++++++++++++++++++++++++++++++++
( 1 )  OPS= (2, -1, -1) 
Variable:x_ 0 


N^+( (2, -1, -1) ,x_ 0 )
Monomials variety (general element): (1, 1, 2) , (2, 0, 2) , (3, 0, 1) , (1, 0, 3) , (1, 3, 0) , (2, 1, 1) , (2, 2, 0) , (3, 1, 0) , (1, 2, 1) , (4, 0, 0) , 
Monomials divisor (general element): (1, 0, 0) , 

The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (2, -1, -1) ,x_ 0 )
Monomials variety (potential closed orbit): (1, 1, 2) , (1, 2, 1) , (1, 0, 3) , (1, 3, 0) , 
Monomials divisor (potential closed orbit): (1, 0, 0) , 


++++++++++++++++++++++++++++++++++++++++++++++
( 2 )  OPS= (5, -1, -4) 
Variable:x_ 2 


N^+( (5, -1, -4) ,x_ 2 )
Monomials variety (general element): (1, 3, 0) , (2, 1, 1) , (3, 0, 1) , (4, 0, 0) , (2, 2, 0) , (2, 0, 2) , (3, 1, 0) , 
Monomials divisor (general element): (0, 0, 1) , (0, 1, 0) , (1, 0, 0) , 

The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (5, -1, -4) ,x_ 2 )
Monomials variety (potential closed orbit): (1, 3, 0) , (2, 0, 2) , 
Monomials divisor (potential closed orbit): (0, 0, 1) , 


++++++++++++++++++++++++++++++++++++++++++++++
( 3 )  OPS= (4, 1, -5) 
Variable:x_ 0 


N^+( (4, 1, -5) ,x_ 0 )
Monomials variety (general element): (0, 4, 0) , (1, 3, 0) , (2, 0, 2) , (3, 0, 1) , (4, 0, 0) , (0, 3, 1) , (1, 2, 1) , (2, 1, 1) , (2, 2, 0) , (3, 1, 0) , 
Monomials divisor (general element): (1, 0, 0) , 

The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (4, 1, -5) ,x_ 0 )
Monomials variety (potential closed orbit): (0, 3, 1) , (2, 0, 2) , 
Monomials divisor (potential closed orbit): (1, 0, 0) , 


++++++++++++++++++++++++++++++++++++++++++++++
( 4 )  OPS= (1, 1, -2) 
Variable:x_ 2 


The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (1, 1, -2) ,x_ 2 )
Monomials variety (potential closed orbit): (0, 3, 1) , (1, 2, 1) , (2, 1, 1) , (3, 0, 1) , 
Monomials divisor (potential closed orbit): (0, 0, 1) , 


========================================================

Solution for t= 17/28  which is a chamber.
((1, 0, -1), (0, 1, 0)) Same
((2, -1, -1), (1, 0, 0)) Same
((4, 1, -5), (1, 0, 0)) Same
((1, 1, -2), (0, 1, 0)) New
((7, -2, -5), (0, 0, 1)) New
((5, 2, -7), (0, 0, 1)) New
Disappeared: ((5, -1, -4), (0, 0, 1))
Disappeared: ((1, 1, -2), (0, 0, 1))



++++++++++++++++++++++++++++++++++++++++++++++
( 1 )  OPS= (1, 1, -2) 
Variable:x_ 1 


N^+( (1, 1, -2) ,x_ 1 )
Monomials variety (general element): (0, 4, 0) , (1, 3, 0) , (2, 2, 0) , (3, 0, 1) , (4, 0, 0) , (0, 3, 1) , (1, 2, 1) , (2, 1, 1) , (3, 1, 0) , 
Monomials divisor (general element): (0, 1, 0) , (1, 0, 0) , 

The pair is not semistable
++++++++++++++++++++++++++++++++++++++++++++++
( 2 )  OPS= (7, -2, -5) 
Variable:x_ 2 


N^+( (7, -2, -5) ,x_ 2 )
Monomials variety (general element): (2, 1, 1) , (3, 1, 0) , (4, 0, 0) , (2, 2, 0) , (2, 0, 2) , (3, 0, 1) , 
Monomials divisor (general element): (0, 0, 1) , (0, 1, 0) , (1, 0, 0) , 

The pair is not semistable
++++++++++++++++++++++++++++++++++++++++++++++
( 3 )  OPS= (5, 2, -7) 
Variable:x_ 2 


N^+( (5, 2, -7) ,x_ 2 )
Monomials variety (general element): (0, 4, 0) , (1, 3, 0) , (2, 2, 0) , (3, 0, 1) , (4, 0, 0) , (2, 1, 1) , (3, 1, 0) , 
Monomials divisor (general element): (0, 0, 1) , (0, 1, 0) , (1, 0, 0) , 

The pair is not semistable
========================================================

Solution for t= 4/5  which is a wall.
((1, 0, -1), (0, 1, 0)) Same
((2, -1, -1), (1, 0, 0)) Same
((4, 1, -5), (0, 0, 1)) New
((1, 1, -2), (0, 1, 0)) Same
((5, 2, -7), (1, 0, 0)) New
((7, -2, -5), (0, 0, 1)) Same
((5, -1, -4), (1, 0, 0)) New
Disappeared: ((5, 2, -7), (0, 0, 1))
Disappeared: ((4, 1, -5), (1, 0, 0))



++++++++++++++++++++++++++++++++++++++++++++++
( 1 )  OPS= (4, 1, -5) 
Variable:x_ 2 


N^+( (4, 1, -5) ,x_ 2 )
Monomials variety (general element): (0, 4, 0) , (1, 3, 0) , (2, 2, 0) , (3, 0, 1) , (4, 0, 0) , (2, 1, 1) , (3, 1, 0) , 
Monomials divisor (general element): (0, 0, 1) , (0, 1, 0) , (1, 0, 0) , 

The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (4, 1, -5) ,x_ 2 )
Monomials variety (potential closed orbit): (0, 4, 0) , (2, 1, 1) , 
Monomials divisor (potential closed orbit): (0, 0, 1) , 


++++++++++++++++++++++++++++++++++++++++++++++
( 2 )  OPS= (5, 2, -7) 
Variable:x_ 0 


N^+( (5, 2, -7) ,x_ 0 )
Monomials variety (general element): (0, 4, 0) , (1, 3, 0) , (2, 0, 2) , (3, 0, 1) , (4, 0, 0) , (0, 3, 1) , (1, 2, 1) , (2, 1, 1) , (2, 2, 0) , (3, 1, 0) , 
Monomials divisor (general element): (1, 0, 0) , 

The pair is not semistable
++++++++++++++++++++++++++++++++++++++++++++++
( 3 )  OPS= (5, -1, -4) 
Variable:x_ 0 


N^+( (5, -1, -4) ,x_ 0 )
Monomials variety (general element): (0, 4, 0) , (1, 1, 2) , (2, 0, 2) , (3, 0, 1) , (1, 2, 1) , (1, 3, 0) , (2, 1, 1) , (2, 2, 0) , (3, 1, 0) , (4, 0, 0) , 
Monomials divisor (general element): (1, 0, 0) , 

The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (5, -1, -4) ,x_ 0 )
Monomials variety (potential closed orbit): (0, 4, 0) , (1, 1, 2) , 
Monomials divisor (potential closed orbit): (1, 0, 0) , 


========================================================

Solution for t= 9/10  which is a chamber.
((1, 0, -1), (0, 0, 1)) New
((2, -1, -1), (1, 0, 0)) Same
((2, -1, -1), (0, 0, 1)) New
((1, 1, -2), (0, 1, 0)) Same
((1, 0, -1), (0, 1, 0)) Same
((5, 2, -7), (1, 0, 0)) Same
((5, 2, -7), (0, 0, 1)) New
((5, -1, -4), (1, 0, 0)) Same
Disappeared: ((4, 1, -5), (0, 0, 1))
Disappeared: ((7, -2, -5), (0, 0, 1))



++++++++++++++++++++++++++++++++++++++++++++++
( 1 )  OPS= (1, 0, -1) 
Variable:x_ 2 


N^+( (1, 0, -1) ,x_ 2 )
Monomials variety (general element): (1, 3, 0) , (2, 2, 0) , (3, 1, 0) , (4, 0, 0) , (2, 1, 1) , (3, 0, 1) , 
Monomials divisor (general element): (0, 0, 1) , (0, 1, 0) , (1, 0, 0) , 

The pair is not semistable
++++++++++++++++++++++++++++++++++++++++++++++
( 2 )  OPS= (2, -1, -1) 
Variable:x_ 2 


N^+( (2, -1, -1) ,x_ 2 )
Monomials variety (general element): (2, 1, 1) , (3, 1, 0) , (4, 0, 0) , (2, 2, 0) , (2, 0, 2) , (3, 0, 1) , 
Monomials divisor (general element): (0, 0, 1) , (0, 1, 0) , (1, 0, 0) , 

The pair is not semistable
++++++++++++++++++++++++++++++++++++++++++++++
( 3 )  OPS= (5, 2, -7) 
Variable:x_ 2 


N^+( (5, 2, -7) ,x_ 2 )
Monomials variety (general element): (0, 4, 0) , (1, 3, 0) , (2, 2, 0) , (3, 0, 1) , (4, 0, 0) , (3, 1, 0) , 
Monomials divisor (general element): (0, 0, 1) , (0, 1, 0) , (1, 0, 0) , 

The pair is not semistable
========================================================

Solution for t= 1  which is a wall.
((1, 0, -1), (1, 0, 0)) New
((1, 0, -1), (0, 0, 1)) New
((2, -1, -1), (1, 0, 0)) New
((2, -1, -1), (0, 0, 1)) New
((1, 1, -2), (0, 1, 0)) New
((1, 0, -1), (0, 1, 0)) New
((5, 2, -7), (0, 0, 1)) New



++++++++++++++++++++++++++++++++++++++++++++++
( 1 )  OPS= (1, 0, -1) 
Variable:x_ 0 


N^+( (1, 0, -1) ,x_ 0 )
Monomials variety (general element): (0, 4, 0) , (1, 1, 2) , (2, 0, 2) , (3, 0, 1) , (1, 2, 1) , (0, 3, 1) , (1, 3, 0) , (2, 1, 1) , (2, 2, 0) , (3, 1, 0) , (4, 0, 0) , 
Monomials divisor (general element): (1, 0, 0) , 

The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (1, 0, -1) ,x_ 0 )
Monomials variety (potential closed orbit): (0, 3, 1) , (1, 1, 2) , 
Monomials divisor (potential closed orbit): (1, 0, 0) , 


++++++++++++++++++++++++++++++++++++++++++++++
( 2 )  OPS= (1, 0, -1) 
Variable:x_ 2 


N^+( (1, 0, -1) ,x_ 2 )
Monomials variety (general element): (1, 3, 0) , (2, 2, 0) , (3, 1, 0) , (4, 0, 0) , (2, 1, 1) , (3, 0, 1) , 
Monomials divisor (general element): (0, 0, 1) , (0, 1, 0) , (1, 0, 0) , 

The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (1, 0, -1) ,x_ 2 )
Monomials variety (potential closed orbit): (1, 3, 0) , (2, 1, 1) , 
Monomials divisor (potential closed orbit): (0, 0, 1) , 


++++++++++++++++++++++++++++++++++++++++++++++
( 3 )  OPS= (2, -1, -1) 
Variable:x_ 0 


N^+( (2, -1, -1) ,x_ 0 )
Monomials variety (general element): (1, 1, 2) , (2, 0, 2) , (3, 0, 1) , (1, 0, 3) , (1, 3, 0) , (2, 1, 1) , (2, 2, 0) , (3, 1, 0) , (1, 2, 1) , (4, 0, 0) , 
Monomials divisor (general element): (1, 0, 0) , 

The pair is not semistable
++++++++++++++++++++++++++++++++++++++++++++++
( 4 )  OPS= (2, -1, -1) 
Variable:x_ 2 


N^+( (2, -1, -1) ,x_ 2 )
Monomials variety (general element): (2, 1, 1) , (3, 1, 0) , (4, 0, 0) , (2, 2, 0) , (2, 0, 2) , (3, 0, 1) , 
Monomials divisor (general element): (0, 0, 1) , (0, 1, 0) , (1, 0, 0) , 

The pair is not semistable
++++++++++++++++++++++++++++++++++++++++++++++
( 5 )  OPS= (1, 1, -2) 
Variable:x_ 1 


N^+( (1, 1, -2) ,x_ 1 )
Monomials variety (general element): (0, 4, 0) , (1, 3, 0) , (2, 2, 0) , (3, 0, 1) , (4, 0, 0) , (0, 3, 1) , (1, 2, 1) , (2, 1, 1) , (3, 1, 0) , 
Monomials divisor (general element): (0, 1, 0) , (1, 0, 0) , 

The pair is not semistable
++++++++++++++++++++++++++++++++++++++++++++++
( 6 )  OPS= (1, 0, -1) 
Variable:x_ 1 


N^+( (1, 0, -1) ,x_ 1 )
Monomials variety (general element): (0, 4, 0) , (1, 3, 0) , (2, 0, 2) , (3, 0, 1) , (4, 0, 0) , (1, 2, 1) , (2, 1, 1) , (2, 2, 0) , (3, 1, 0) , 
Monomials divisor (general element): (0, 1, 0) , (1, 0, 0) , 

The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (1, 0, -1) ,x_ 1 )
Monomials variety (potential closed orbit): (0, 4, 0) , (1, 2, 1) , (2, 0, 2) , 
Monomials divisor (potential closed orbit): (0, 1, 0) , 


++++++++++++++++++++++++++++++++++++++++++++++
( 7 )  OPS= (5, 2, -7) 
Variable:x_ 2 


N^+( (5, 2, -7) ,x_ 2 )
Monomials variety (general element): (0, 4, 0) , (1, 3, 0) , (2, 2, 0) , (3, 0, 1) , (4, 0, 0) , (3, 1, 0) , 
Monomials divisor (general element): (0, 0, 1) , (0, 1, 0) , (1, 0, 0) , 

The pair is not semistable
========================================================

Solution for t= 15/14  which is a chamber.
((1, 0, -1), (1, 0, 0)) Same
((1, 0, -1), (0, 1, 0)) Same
((2, -1, -1), (1, 0, 0)) Same
((2, -1, -1), (0, 0, 1)) Same
((1, 1, -2), (0, 1, 0)) Same
((5, 2, -7), (0, 0, 1)) Same
Disappeared: ((1, 0, -1), (0, 0, 1))



========================================================

Solution for t= 8/7  which is a wall.
((1, 0, -1), (1, 0, 0)) Same
((1, 0, -1), (0, 1, 0)) Same
((2, -1, -1), (0, 0, 1)) Same
((1, 1, -2), (0, 1, 0)) Same
((7, -2, -5), (1, 0, 0)) New
((5, 2, -7), (0, 0, 1)) Same but becomes semistable
Disappeared: ((2, -1, -1), (1, 0, 0))



++++++++++++++++++++++++++++++++++++++++++++++
( 1 )  OPS= (7, -2, -5) 
Variable:x_ 0 


N^+( (7, -2, -5) ,x_ 0 )
Monomials variety (general element): (0, 4, 0) , (1, 1, 2) , (2, 0, 2) , (3, 0, 1) , (1, 0, 3) , (1, 3, 0) , (2, 1, 1) , (2, 2, 0) , (3, 1, 0) , (1, 2, 1) , (4, 0, 0) , 
Monomials divisor (general element): (1, 0, 0) , 

The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (7, -2, -5) ,x_ 0 )
Monomials variety (potential closed orbit): (0, 4, 0) , (1, 0, 3) , 
Monomials divisor (potential closed orbit): (1, 0, 0) , 


++++++++++++++++++++++++++++++++++++++++++++++
( 2 )  OPS= (5, 2, -7) 
Variable:x_ 2 


The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (5, 2, -7) ,x_ 2 )
Monomials variety (potential closed orbit): (0, 4, 0) , (3, 0, 1) , 
Monomials divisor (potential closed orbit): (0, 0, 1) , 


========================================================

Solution for t= 67/56  which is a chamber.
((1, 0, -1), (1, 0, 0)) Same
((1, 0, -1), (0, 1, 0)) Same
((2, -1, -1), (0, 0, 1)) Same
((4, 1, -5), (0, 0, 1)) New
((1, 1, -2), (0, 1, 0)) Same
((7, -2, -5), (1, 0, 0)) Same
((1, 1, -2), (0, 0, 1)) New
Disappeared: ((5, 2, -7), (0, 0, 1))



++++++++++++++++++++++++++++++++++++++++++++++
( 1 )  OPS= (4, 1, -5) 
Variable:x_ 2 


N^+( (4, 1, -5) ,x_ 2 )
Monomials variety (general element): (3, 1, 0) , (1, 3, 0) , (2, 2, 0) , (3, 0, 1) , (4, 0, 0) , 
Monomials divisor (general element): (0, 0, 1) , (0, 1, 0) , (1, 0, 0) , 

The pair is not semistable
++++++++++++++++++++++++++++++++++++++++++++++
( 2 )  OPS= (1, 1, -2) 
Variable:x_ 2 


N^+( (1, 1, -2) ,x_ 2 )
Monomials variety (general element): (0, 4, 0) , (1, 3, 0) , (2, 2, 0) , (3, 1, 0) , (4, 0, 0) , 
Monomials divisor (general element): (0, 0, 1) , (0, 1, 0) , (1, 0, 0) , 

The pair is not semistable
========================================================

Solution for t= 7/5  which is a wall.
((1, 0, -1), (0, 1, 0)) Same
((2, -1, -1), (0, 0, 1)) Same
((4, 1, -5), (0, 0, 1)) Same but becomes semistable
((1, 1, -2), (0, 1, 0)) Same
((1, 1, -2), (0, 0, 1)) Same
((5, -1, -4), (1, 0, 0)) New
Disappeared: ((1, 0, -1), (1, 0, 0))
Disappeared: ((7, -2, -5), (1, 0, 0))



++++++++++++++++++++++++++++++++++++++++++++++
( 1 )  OPS= (4, 1, -5) 
Variable:x_ 2 


The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (4, 1, -5) ,x_ 2 )
Monomials variety (potential closed orbit): (1, 3, 0) , (3, 0, 1) , 
Monomials divisor (potential closed orbit): (0, 0, 1) , 


++++++++++++++++++++++++++++++++++++++++++++++
( 2 )  OPS= (5, -1, -4) 
Variable:x_ 0 


N^+( (5, -1, -4) ,x_ 0 )
Monomials variety (general element): (0, 4, 0) , (1, 1, 2) , (2, 0, 2) , (3, 0, 1) , (1, 0, 3) , (0, 3, 1) , (1, 3, 0) , (2, 1, 1) , (2, 2, 0) , (3, 1, 0) , (1, 2, 1) , (4, 0, 0) , 
Monomials divisor (general element): (1, 0, 0) , 

The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (5, -1, -4) ,x_ 0 )
Monomials variety (potential closed orbit): (0, 3, 1) , (1, 0, 3) , 
Monomials divisor (potential closed orbit): (1, 0, 0) , 


========================================================

Solution for t= 52/35  which is a chamber.
((5, -1, -4), (1, 0, 0)) Same
((2, -1, -1), (0, 0, 1)) Same
((1, 0, -1), (0, 1, 0)) Same
((1, 1, -2), (0, 1, 0)) Same
((1, 1, -2), (0, 0, 1)) Same
Disappeared: ((4, 1, -5), (0, 0, 1))



========================================================

Solution for t= 2  which is a wall.
((2, -1, -1), (0, 0, 1)) Same but becomes semistable
((1, 1, -2), (0, 0, 1)) Same but becomes semistable
((2, -1, -1), (1, 0, 0)) New
((1, 1, -2), (0, 1, 0)) Same but becomes semistable
Disappeared: ((5, -1, -4), (1, 0, 0))
Disappeared: ((1, 0, -1), (0, 1, 0))



++++++++++++++++++++++++++++++++++++++++++++++
( 1 )  OPS= (2, -1, -1) 
Variable:x_ 2 


The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (2, -1, -1) ,x_ 2 )
Monomials variety (potential closed orbit): (2, 1, 1) , (2, 2, 0) , (2, 0, 2) , 
Monomials divisor (potential closed orbit): (0, 0, 1) , (0, 1, 0) , 


++++++++++++++++++++++++++++++++++++++++++++++
( 2 )  OPS= (1, 1, -2) 
Variable:x_ 2 


The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (1, 1, -2) ,x_ 2 )
Monomials variety (potential closed orbit): (0, 4, 0) , (1, 3, 0) , (2, 2, 0) , (3, 1, 0) , (4, 0, 0) , 
Monomials divisor (potential closed orbit): (0, 0, 1) , 


++++++++++++++++++++++++++++++++++++++++++++++
( 3 )  OPS= (2, -1, -1) 
Variable:x_ 0 


N^+( (2, -1, -1) ,x_ 0 )
Monomials variety (general element): (0, 0, 4) , (0, 1, 3) , (2, 0, 2) , (3, 0, 1) , (1, 0, 3) , (0, 4, 0) , (1, 1, 2) , (1, 2, 1) , (2, 1, 1) , (2, 2, 0) , (3, 1, 0) , (1, 3, 0) , (4, 0, 0) , (0, 2, 2) , (0, 3, 1) , 
Monomials divisor (general element): (1, 0, 0) , 

The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (2, -1, -1) ,x_ 0 )
Monomials variety (potential closed orbit): (0, 0, 4) , (0, 1, 3) , (0, 2, 2) , (0, 3, 1) , (0, 4, 0) , 
Monomials divisor (potential closed orbit): (1, 0, 0) , 


++++++++++++++++++++++++++++++++++++++++++++++
( 4 )  OPS= (1, 1, -2) 
Variable:x_ 1 


The pair is strictly semistable
The potential closed orbit associated to this pair is:
N^0( (1, 1, -2) ,x_ 1 )
Monomials variety (potential closed orbit): (0, 2, 2) , (1, 1, 2) , (2, 0, 2) , 
Monomials divisor (potential closed orbit): (0, 1, 0) , (1, 0, 0) , 


========================================================

reached the end
