[Indigo]<CaminoReal>DeltaCad!1

BEGINCAD
DIMENSION
3
INPUTVARIABLES
(P,Q,R)
MINPOLYVARIABLE
(U)
FIELDELEMENTVARIABLE
(U)
INPUTPOLYNOMIALS
(
256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 $
)
BASIS
(
256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 $
)
CONTENTS
(
)
PROJECTION
(
82944 P Q^2 - 3072 P^4 $ ,
256 $ ,
330225942528 Q^8 + 293534171136 P^3 Q^6 + 86973087744 P^6 Q^4 + 8589934592
P^9 Q^2 $ ,
56623104 P Q^2 - 2097152 P^4 $
)

CELLS

BEGINCELL
INDEX
(1,1,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
(- 1 )
( 1 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 > 0 ) ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(1,1,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
256 U^3 - 128 U^2 - 128 U - 23 $ ,
(1 , 3/2)
POINT
(
(- 1 )
(- 1 )
( U )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 > 0 ) ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(1,1,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
(- 1 )
( 3 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 > 0 ) ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(1,2,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 8 $ ,
(-3/4 , -1/2)
POINT
(
(- 1 )
( U )
(- 1/2 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 = 0 ) ) ) & ( ( 6 R - P^2
< 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,2,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 8 $ ,
(-3/4 , -1/2)
POINT
(
(- 1 )
( U )
(- 1/12 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 = 0 ) ) ) & ( ( 6 R - P^2
< 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 = 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,2,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 8 $ ,
(-3/4 , -1/2)
POINT
(
(- 1 )
( U )
( 1/2 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 = 0 ) ) ) & ( ( ( ( 6 R - P
^2 < 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) ) | ( 6 R - P^2 = 0
) | ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) ) )
| ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 = 0 ) ) | ( (
( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) & ( 256
R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) )
) ) $
ENDCELL

BEGINCELL
INDEX
(1,2,4)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 8 $ ,
(-3/4 , -1/2)
POINT
(
(- 1 )
( U )
( 2/3 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 = 0 ) ) ) & ( ( ( 6 R - P^
2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P
^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,2,5)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 8 $ ,
(-3/4 , -1/2)
POINT
(
(- 1 )
( U )
( 2 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 = 0 ) ) ) & ( ( ( 6 R - P^
2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P
^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,3,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
(- 1/4 )
(- 2 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) | ( Q = 0 ) | (
( Q > 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) ) & ( Q < 0 ) ) ) & ( ( ( 6 R - P^2
< 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,3,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
65536 U^3 - 32768 U^2 + 1792 U + 37 $ ,
(-1 , 0)
POINT
(
(- 1 )
(- 1/4 )
( U )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) | ( Q = 0 ) | (
( Q > 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) ) & ( Q < 0 ) ) ) & ( ( ( 6 R - P^2
< 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,3,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
(- 1/4 )
( 1/16 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) | ( Q = 0 ) | (
( Q > 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) ) & ( Q < 0 ) ) ) & ( ( ( ( 6 R - P^2 < 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128
P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) | ( ( 6 R
- P^2 < 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 = 0 ) ) | ( ( ( ( 6 R -
P^2 < 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) ) | ( 6 R - P^2 =
0 ) | ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) )
) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,3,4)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
65536 U^3 - 32768 U^2 + 1792 U + 37 $ ,
(1/16 , 3/32)
POINT
(
(- 1 )
(- 1/4 )
( U )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) | ( Q = 0 ) | (
( Q > 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) ) & ( Q < 0 ) ) ) & ( ( ( ( 6 R - P^2 < 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) ) | ( 6 R - P^2 = 0
) | ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) ) ) &
( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2
= 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,3,5)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
(- 1/4 )
( 3/8 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) | ( Q = 0 ) | (
( Q > 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) ) & ( Q < 0 ) ) ) & ( ( ( ( ( 6 R -
P^2 < 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) ) | ( 6 R - P^2 =
0 ) | ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) ) )
& ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^
2 < 0 ) ) | ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 = 0
) ) | ( ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 )
) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,3,6)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
65536 U^3 - 32768 U^2 + 1792 U + 37 $ ,
(3/8 , 7/16)
POINT
(
(- 1 )
(- 1/4 )
( U )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) | ( Q = 0 ) | (
( Q > 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) ) & ( Q < 0 ) ) ) & ( ( ( 6 R - P^2
> 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,3,7)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
(- 1/4 )
( 3/2 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) | ( Q = 0 ) | (
( Q > 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) ) & ( Q < 0 ) ) ) & ( ( ( 6 R - P^2
> 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,4,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
(0)
(- 1/8 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( Q = 0 ) ) & ( ( ( 6 R - P^2 < 0 ) & ( 48 R^2 - 16 P^2 R
+ 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^
4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,4,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
(0)
(0)
)
DEFININGFORMULA
( ( ( P < 0 ) & ( Q = 0 ) ) & ( ( ( 6 R - P^2 < 0 ) & ( 48 R^2 - 16 P^2 R
+ 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^
4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,4,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
(0)
( 1/8 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( Q = 0 ) ) & ( ( ( ( 6 R - P^2 < 0 ) & ( 48 R^2 - 16 P^2
R + 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P
^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) | ( ( 6 R - P^2 < 0 ) & ( 48 R^2 - 16
P^2 R + 9 P Q^2 + P^4 = 0 ) ) | ( ( ( 6 R - P^2 < 0 ) & ( 48 R^2 - 16 P^
2 R + 9 P Q^2 + P^4 < 0 ) ) | ( 6 R - P^2 = 0 ) | ( ( 6 R - P^2 > 0 ) & (
48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) ) ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,4,4)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
(0)
( 1/4 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( Q = 0 ) ) & ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R +
9 P Q^2 + P^4 = 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,4,5)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
(0)
( 5/4 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( Q = 0 ) ) & ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R +
9 P Q^2 + P^4 > 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,5,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
( 1/2 )
(- 9/128 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q > 0 ) & ( ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) | (
Q = 0 ) | ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) ) ) ) & ( ( ( 6 R - P^2
< 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,5,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
256 U^2 - 144 U - 11 $ ,
(-35/512 , -17/256)
POINT
(
(- 1 )
( 1/2 )
( U )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q > 0 ) & ( ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) | (
Q = 0 ) | ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) ) ) ) & ( ( ( 6 R - P^2
< 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,5,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
( 1/2 )
(- 33/512 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q > 0 ) & ( ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) | (
Q = 0 ) | ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) ) ) ) & ( ( ( ( 6 R - P^2 < 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128
P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) | ( ( 6 R
- P^2 < 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 = 0 ) ) | ( ( ( ( 6 R -
P^2 < 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) ) | ( 6 R - P^2 =
0 ) | ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) )
) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,5,4)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
( 1/2 )
(- 1/16 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q > 0 ) & ( ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) | (
Q = 0 ) | ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) ) ) ) & ( ( ( ( 6 R - P^2 < 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) ) | ( 6 R - P^2 = 0
) | ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) ) ) &
( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2
= 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,5,5)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
( 1/2 )
( 1/2 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q > 0 ) & ( ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) | (
Q = 0 ) | ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) ) ) ) & ( ( ( ( ( 6 R -
P^2 < 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) ) | ( 6 R - P^2 =
0 ) | ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) ) )
& ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^
2 < 0 ) ) | ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 = 0
) ) | ( ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 )
) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,5,6)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
256 U^2 - 144 U - 11 $ ,
(1/2 , 1)
POINT
(
(- 1 )
( 1/2 )
( U )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q > 0 ) & ( ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) | (
Q = 0 ) | ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) ) ) ) & ( ( ( 6 R - P^2
> 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,5,7)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
( 1/2 )
( 3 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q > 0 ) & ( ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) | (
Q = 0 ) | ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) ) ) ) & ( ( ( 6 R - P^2
> 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,6,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 8 $ ,
(1/2 , 3/4)
POINT
(
(- 1 )
( U )
(- 1/2 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 = 0 ) ) ) & ( ( 6 R - P^2
< 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,6,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 8 $ ,
(1/2 , 3/4)
POINT
(
(- 1 )
( U )
(- 1/12 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 = 0 ) ) ) & ( ( 6 R - P^2
< 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 = 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,6,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 8 $ ,
(1/2 , 3/4)
POINT
(
(- 1 )
( U )
( 1/2 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 = 0 ) ) ) & ( ( ( ( 6 R - P
^2 < 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) ) | ( 6 R - P^2 = 0
) | ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) ) )
| ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 = 0 ) ) | ( (
( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) & ( 256
R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) )
) ) $
ENDCELL

BEGINCELL
INDEX
(1,6,4)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 8 $ ,
(1/2 , 3/4)
POINT
(
(- 1 )
( U )
( 2/3 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 = 0 ) ) ) & ( ( ( 6 R - P^
2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P
^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,6,5)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 8 $ ,
(1/2 , 3/4)
POINT
(
(- 1 )
( U )
( 2 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 = 0 ) ) ) & ( ( ( 6 R - P^
2 > 0 ) & ( 48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P
^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,7,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
( 2 )
( 3/2 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 > 0 ) ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(1,7,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
( 2 )
( 2 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 > 0 ) ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(1,7,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
( 2 )
( 3 )
)
DEFININGFORMULA
( ( ( P < 0 ) & ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 > 0 ) ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(2,1,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(0)
(- 1 )
(0)
)
DEFININGFORMULA
( ( ( P = 0 ) & ( Q < 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16
P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(2,1,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
256 U^3 - 27 $ ,
(0 , 1)
POINT
(
(0)
(- 1 )
( U )
)
DEFININGFORMULA
( ( ( P = 0 ) & ( Q < 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16
P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(2,1,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(0)
(- 1 )
( 3 )
)
DEFININGFORMULA
( ( ( P = 0 ) & ( Q < 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16
P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(2,2,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(0)
(0)
(- 1 )
)
DEFININGFORMULA
( ( ( P = 0 ) & ( Q = 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16
P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(2,2,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(0)
(0)
(0)
)
DEFININGFORMULA
( ( ( P = 0 ) & ( Q = 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16
P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(2,2,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(0)
(0)
( 2 )
)
DEFININGFORMULA
( ( ( P = 0 ) & ( Q = 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16
P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(2,3,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(0)
( 2 )
(0)
)
DEFININGFORMULA
( ( ( P = 0 ) & ( Q > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16
P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(2,3,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
16 U^3 - 27 $ ,
(0 , 2)
POINT
(
(0)
( 2 )
( U )
)
DEFININGFORMULA
( ( ( P = 0 ) & ( Q > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16
P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(2,3,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(0)
( 2 )
( 5 )
)
DEFININGFORMULA
( ( ( P = 0 ) & ( Q > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16
P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,1,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
(- 1/4 )
(- 2 )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( Q < 0 ) & ( 27 Q^2 - P^3 > 0 ) ) ) & ( 256 R^3 - 128
P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,1,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
65536 U^3 - 32768 U^2 + 6400 U - 91 $ ,
(0 , 1/8)
POINT
(
( 1 )
(- 1/4 )
( U )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( Q < 0 ) & ( 27 Q^2 - P^3 > 0 ) ) ) & ( 256 R^3 - 128
P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,1,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
(- 1/4 )
( 3 )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( Q < 0 ) & ( 27 Q^2 - P^3 > 0 ) ) ) & ( 256 R^3 - 128
P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,2,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 1 $ ,
(-1/4 , -3/16)
POINT
(
( 1 )
( U )
(0)
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( Q < 0 ) & ( 27 Q^2 - P^3 = 0 ) ) ) & ( 256 R^3 - 128
P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,2,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
1289945088 U^6 - 1289945088 U^5 + 394149888 U^4 - 13810176 U^3 - 8688384 U^2 + 1848960 U - 214621 $ ,
(-1/4 , -1/8)
POINT
(
( 1 )
( 1146617856/4725745 U^5 - 1000864512/4725745 U^4 + 207180288/4725745 U^3 + 4938624/945149 U^2 - 3698043/4725745 U + 450121/9451490 )
(- 1146617856/4725745 U^5 + 1000864512/4725745 U^4 - 207180288/4725745 U^3 -
4938624/945149 U^2 + 8423788/4725745 U - 450121/9451490 )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( Q < 0 ) & ( 27 Q^2 - P^3 = 0 ) ) ) & ( 256 R^3 - 128
P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,2,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 1 $ ,
(-1/4 , -3/16)
POINT
(
( 1 )
( U )
( 9/8 )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( Q < 0 ) & ( 27 Q^2 - P^3 = 0 ) ) ) & ( 256 R^3 - 128
P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,3,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
(- 1/16 )
(0)
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( ( ( Q < 0 ) & ( 27 Q^2 - P^3 < 0 ) ) | ( Q = 0 ) | ( (
Q > 0 ) & ( 27 Q^2 - P^3 < 0 ) ) ) & ( Q < 0 ) ) ) & ( 256 R^3 - 128 P^
2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,3,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
16777216 U^3 - 8388608 U^2 + 1085440 U - 1051 $ ,
(0 , 1/32)
POINT
(
( 1 )
(- 1/16 )
( U )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( ( ( Q < 0 ) & ( 27 Q^2 - P^3 < 0 ) ) | ( Q = 0 ) | ( (
Q > 0 ) & ( 27 Q^2 - P^3 < 0 ) ) ) & ( Q < 0 ) ) ) & ( 256 R^3 - 128 P^
2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,3,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
(- 1/16 )
( 17/16 )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( ( ( Q < 0 ) & ( 27 Q^2 - P^3 < 0 ) ) | ( Q = 0 ) | ( (
Q > 0 ) & ( 27 Q^2 - P^3 < 0 ) ) ) & ( Q < 0 ) ) ) & ( 256 R^3 - 128 P^
2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,4,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
(0)
(- 1/8 )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( Q = 0 ) ) & ( ( ( 6 R - P^2 < 0 ) & ( 48 R^2 - 16 P^2 R
+ 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^
4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(3,4,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
(0)
(0)
)
DEFININGFORMULA
( ( ( P > 0 ) & ( Q = 0 ) ) & ( ( ( 6 R - P^2 < 0 ) & ( 48 R^2 - 16 P^2 R
+ 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P^
4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(3,4,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
(0)
( 1/8 )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( Q = 0 ) ) & ( ( ( ( 6 R - P^2 < 0 ) & ( 48 R^2 - 16 P^2
R + 9 P Q^2 + P^4 > 0 ) ) & ( 256 R^3 - 128 P^2 R^2 + 144 P Q^2 R + 16 P
^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) | ( ( 6 R - P^2 < 0 ) & ( 48 R^2 - 16
P^2 R + 9 P Q^2 + P^4 = 0 ) ) | ( ( ( 6 R - P^2 < 0 ) & ( 48 R^2 - 16 P^
2 R + 9 P Q^2 + P^4 < 0 ) ) | ( 6 R - P^2 = 0 ) | ( ( 6 R - P^2 > 0 ) & (
48 R^2 - 16 P^2 R + 9 P Q^2 + P^4 < 0 ) ) ) ) ) $
ENDCELL

BEGINCELL
INDEX
(3,4,4)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
(0)
( 1/4 )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( Q = 0 ) ) & ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R +
9 P Q^2 + P^4 = 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(3,4,5)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
(0)
( 5/4 )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( Q = 0 ) ) & ( ( 6 R - P^2 > 0 ) & ( 48 R^2 - 16 P^2 R +
9 P Q^2 + P^4 > 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(3,5,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
( 1/8 )
(0)
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( Q > 0 ) & ( ( ( Q < 0 ) & ( 27 Q^2 - P^3 < 0 ) ) | (
Q = 0 ) | ( ( Q > 0 ) & ( 27 Q^2 - P^3 < 0 ) ) ) ) ) & ( 256 R^3 - 128 P^
2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,5,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
1048576 U^3 - 524288 U^2 + 74752 U - 283 $ ,
(0 , 1/32)
POINT
(
( 1 )
( 1/8 )
( U )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( Q > 0 ) & ( ( ( Q < 0 ) & ( 27 Q^2 - P^3 < 0 ) ) | (
Q = 0 ) | ( ( Q > 0 ) & ( 27 Q^2 - P^3 < 0 ) ) ) ) ) & ( 256 R^3 - 128 P^
2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,5,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
( 1/8 )
( 17/16 )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( Q > 0 ) & ( ( ( Q < 0 ) & ( 27 Q^2 - P^3 < 0 ) ) | (
Q = 0 ) | ( ( Q > 0 ) & ( 27 Q^2 - P^3 < 0 ) ) ) ) ) & ( 256 R^3 - 128 P^
2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,6,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 1 $ ,
(3/16 , 1/4)
POINT
(
( 1 )
( U )
(0)
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( Q > 0 ) & ( 27 Q^2 - P^3 = 0 ) ) ) & ( 256 R^3 - 128
P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,6,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
1289945088 U^6 - 1289945088 U^5 + 394149888 U^4 - 13810176 U^3 - 8688384 U^2 + 1848960 U - 214621 $ ,
(3/16 , 1/4)
POINT
(
( 1 )
( 1146617856/4725745 U^5 - 1000864512/4725745 U^4 + 207180288/4725745 U^3 + 4938624/945149 U^2 - 3698043/4725745 U + 450121/9451490 )
(- 1146617856/4725745 U^5 + 1000864512/4725745 U^4 - 207180288/4725745 U^3 -
4938624/945149 U^2 + 8423788/4725745 U - 450121/9451490 )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( Q > 0 ) & ( 27 Q^2 - P^3 = 0 ) ) ) & ( 256 R^3 - 128
P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,6,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 1 $ ,
(3/16 , 1/4)
POINT
(
( 1 )
( U )
( 9/8 )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( Q > 0 ) & ( 27 Q^2 - P^3 = 0 ) ) ) & ( 256 R^3 - 128
P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,7,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
( 5/4 )
(- 2 )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( Q > 0 ) & ( 27 Q^2 - P^3 > 0 ) ) ) & ( 256 R^3 - 128
P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 < 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,7,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
65536 U^3 - 32768 U^2 + 61696 U - 18475 $ ,
(0 , 1)
POINT
(
( 1 )
( 5/4 )
( U )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( Q > 0 ) & ( 27 Q^2 - P^3 > 0 ) ) ) & ( 256 R^3 - 128
P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 = 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,7,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
( 5/4 )
( 3 )
)
DEFININGFORMULA
( ( ( P > 0 ) & ( ( Q > 0 ) & ( 27 Q^2 - P^3 > 0 ) ) ) & ( 256 R^3 - 128
P^2 R^2 + 144 P Q^2 R + 16 P^4 R - 27 Q^4 - 4 P^3 Q^2 > 0 ) ) $
ENDCELL

INDUCEDCAD
BEGINCAD
DIMENSION
2
INPUTVARIABLES
(P,Q)
MINPOLYVARIABLE
(U)
FIELDELEMENTVARIABLE
(U)
INPUTPOLYNOMIALS
(
82944 P Q^2 - 3072 P^4 $ ,
256 $ ,
330225942528 Q^8 + 293534171136 P^3 Q^6 + 86973087744 P^6 Q^4 + 8589934592
P^9 Q^2 $ ,
56623104 P Q^2 - 2097152 P^4 $
)
BASIS
(
Q $ ,
27 Q^2 - P^3 $ ,
27 Q^2 + 8 P^3 $
)
CONTENTS
(
3072 P $ ,
2097152 P $
)
PROJECTION
(
1 $ ,
- P^3 $ ,
8 P^3 $ ,
27 $ ,
108 P^3 $ ,
59049 P^6 $ ,
27 $ ,
- 864 P^3 $
)

CELLS

BEGINCELL
INDEX
(1,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
(- 1 )
)
DEFININGFORMULA
( ( P < 0 ) & ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 > 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 8 $ ,
(-3/4 , -1/2)
POINT
(
(- 1 )
( U )
)
DEFININGFORMULA
( ( P < 0 ) & ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 = 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
(- 1/4 )
)
DEFININGFORMULA
( ( P < 0 ) & ( ( ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) | ( Q = 0 ) | ( (
Q > 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) ) & ( Q < 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,4)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
(0)
)
DEFININGFORMULA
( ( P < 0 ) & ( Q = 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(1,5)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
( 1/2 )
)
DEFININGFORMULA
( ( P < 0 ) & ( ( Q > 0 ) & ( ( ( Q < 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) | (
Q = 0 ) | ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 < 0 ) ) ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,6)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 8 $ ,
(1/2 , 3/4)
POINT
(
(- 1 )
( U )
)
DEFININGFORMULA
( ( P < 0 ) & ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 = 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(1,7)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
( 2 )
)
DEFININGFORMULA
( ( P < 0 ) & ( ( Q > 0 ) & ( 27 Q^2 + 8 P^3 > 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(2,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(0)
(- 1 )
)
DEFININGFORMULA
( ( P = 0 ) & ( Q < 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(2,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(0)
(0)
)
DEFININGFORMULA
( ( P = 0 ) & ( Q = 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(2,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(0)
( 2 )
)
DEFININGFORMULA
( ( P = 0 ) & ( Q > 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
(- 1/4 )
)
DEFININGFORMULA
( ( P > 0 ) & ( ( Q < 0 ) & ( 27 Q^2 - P^3 > 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(3,2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 1 $ ,
(-1/4 , -3/16)
POINT
(
( 1 )
( U )
)
DEFININGFORMULA
( ( P > 0 ) & ( ( Q < 0 ) & ( 27 Q^2 - P^3 = 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(3,3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
(- 1/16 )
)
DEFININGFORMULA
( ( P > 0 ) & ( ( ( ( Q < 0 ) & ( 27 Q^2 - P^3 < 0 ) ) | ( Q = 0 ) | ( (
Q > 0 ) & ( 27 Q^2 - P^3 < 0 ) ) ) & ( Q < 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(3,4)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
(0)
)
DEFININGFORMULA
( ( P > 0 ) & ( Q = 0 ) ) $
ENDCELL

BEGINCELL
INDEX
(3,5)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
( 1/8 )
)
DEFININGFORMULA
( ( P > 0 ) & ( ( Q > 0 ) & ( ( ( Q < 0 ) & ( 27 Q^2 - P^3 < 0 ) ) | ( Q
= 0 ) | ( ( Q > 0 ) & ( 27 Q^2 - P^3 < 0 ) ) ) ) ) $
ENDCELL

BEGINCELL
INDEX
(3,6)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
27 U^2 - 1 $ ,
(3/16 , 1/4)
POINT
(
( 1 )
( U )
)
DEFININGFORMULA
( ( P > 0 ) & ( ( Q > 0 ) & ( 27 Q^2 - P^3 = 0 ) ) ) $
ENDCELL

BEGINCELL
INDEX
(3,7)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
( 5/4 )
)
DEFININGFORMULA
( ( P > 0 ) & ( ( Q > 0 ) & ( 27 Q^2 - P^3 > 0 ) ) ) $
ENDCELL

INDUCEDCAD
BEGINCAD
DIMENSION
1
INPUTVARIABLES
(P)
MINPOLYVARIABLE
(U)
FIELDELEMENTVARIABLE
(U)
INPUTPOLYNOMIALS
(
3072 P $ ,
2097152 P $ ,
1 $ ,
- P^3 $ ,
8 P^3 $ ,
27 $ ,
108 P^3 $ ,
59049 P^6 $ ,
27 $ ,
- 864 P^3 $
)
BASIS
(
P $
)
CONTENTS
(
)
PROJECTION
(
)

CELLS

BEGINCELL
INDEX
(1)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(- 1 )
)
DEFININGFORMULA
( P < 0 ) $
ENDCELL

BEGINCELL
INDEX
(2)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
(0)
)
DEFININGFORMULA
( P = 0 ) $
ENDCELL

BEGINCELL
INDEX
(3)
SAMPLEPOINT
PRIMITIVESAMPLEPOINT
PRIMITIVEELEMENT
U $ ,
(0 , 0)
POINT
(
( 1 )
)
DEFININGFORMULA
( P > 0 ) $
ENDCELL

ENDCAD
ENDCAD
ENDCAD