ID: 8.0 Parent: 3.0 Tree
Blown up to:
13.0 14.0
x4 x1^2+x2^2+x3^2-1
PDER
VAR\IND x1 x2 x1^2+x2^2+x3^2-1 x4
x1 1 0 0 0
x2 0 1 0 0
x3 -2*x6*x1 -2*x6*x2 x6 0
x4 0 0 0 1
x6 4*x6^3*x1 4*x6^3*x2 -2*x6^3 0
FOCUS
(x1^2+x2^2+x3^2-1)^2*x4^2-x4^4
2*x1
2*x2
DEP
2*x6*x3-1
MAP
x1 x1
x2 x2
x3 x3
x4 x4
IMAP
x1 x1
x2 x2
x3 x3
x4 x4
x6 1/2/x3
STACK
WBO (dim: 4)
J
(x1^2+x2^2+x3^2-1)^2*x4^2-x4^4 4
c 4
Nempty
(E,a)empty
C empty
TBO (dim: 4)
J
(x1^2+x2^2+x3^2-1)^2*x4^2-x4^4 4
Nempty
Eempty
EMempty
C empty
SBO (dim: 4)
J
(x1^2+x2^2+x3^2-1)^2*x4^2-x4^4 4
Nempty
Hempty
Eempty
C empty
WBO (dim: 3)
J
x1^4+2*x1^2*x2^2+2*x1^2*x3^2-2*x1^2+x2^4+2*x2^2*x3^2-2*x2^2+x3^4-2*x3^2+1 2
c 1
N
x4
(E,a)empty
C empty
TBO (dim: 3)
J
x1^4+2*x1^2*x2^2+2*x1^2*x3^2-2*x1^2+x2^4+2*x2^2*x3^2-2*x2^2+x3^4-2*x3^2+1 2
N
x4
Eempty
EMempty
C empty
SBO (dim: 3)
J
x1^4+2*x1^2*x2^2+2*x1^2*x3^2-2*x1^2+x2^4+2*x2^2*x3^2-2*x2^2+x3^4-2*x3^2+1 2
N
x4
Hempty
Eempty
C empty
Blown up to:
13.0 14.0
x4 x1^2+x2^2+x3^2-1
ID: 8.0 Parent: 3.0 Tree