/usr/share/axiom-20140801/input/paff.input is in axiom-test 20140801-6.
This file is owned by root:root, with mode 0o644.
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)spool paff.output
)set message test on
)set message auto off
)clear all
--S 1 of 26
K:= PACRAT
--R
--R
--R (1) PseudoAlgebraicClosureOfRationalNumber
--R Type: Domain
--E 1
--S 2 of 26
symb:=[x,y,z]
--R
--R
--R (2) [x,y,z]
--R Type: List(OrderedVariableList([x,y,z]))
--E 2
--S 3 of 26
PolyRing:=DMP(symb,K)
--R
--R
--R (3)
--R DistributedMultivariatePolynomial([x,y,z],PseudoAlgebraicClosureOfRationalNum
--R ber)
--R Type: Domain
--E 3
--S 4 of 26
E:=DIRPROD(#symb,NNI)
--R
--R
--R (4) DirectProduct(3,NonNegativeInteger)
--R Type: Domain
--E 4
--S 5 of 26
ProjPt := ProjectivePlane(K)
--R
--R
--R (5) ProjectivePlane(PseudoAlgebraicClosureOfRationalNumber)
--R Type: Domain
--E 5
--S 6 of 26
AFP:= AffinePlane(K)
--R
--R
--R (6) AffinePlane(PseudoAlgebraicClosureOfRationalNumber)
--R Type: Domain
--E 6
--S 7 of 26
BLMET := BLQT
--R
--R
--R (7) BlowUpWithQuadTrans
--R Type: Domain
--E 7
--S 8 of 26
PCS := NeitherSparseOrDensePowerSeries(K)
--R
--R
--R (8)
--R NeitherSparseOrDensePowerSeries(PseudoAlgebraicClosureOfRationalNumber)
--R Type: Domain
--E 8
--S 9 of 26
Plc:= PLACES K
--R
--R
--R (9) Places(PseudoAlgebraicClosureOfRationalNumber)
--R Type: Domain
--E 9
--S 10 of 26
DIVISOR:= DIV Plc
--R
--R
--R (10) Divisor(Places(PseudoAlgebraicClosureOfRationalNumber))
--R Type: Domain
--E 10
--S 11 of 26
InfClsPoint := InfClsPt(K,symb,BLMET)
--R
--R
--R (11)
--R InfClsPt(PseudoAlgebraicClosureOfRationalNumber,[x,y,z],BlowUpWithQuadTrans)
--R Type: Domain
--E 11
--S 12 of 26
DesTree := DesingTree InfClsPoint
--R
--R
--R (12)
--R DesingTree(InfClsPt(PseudoAlgebraicClosureOfRationalNumber,[x,y,z],BlowUpWith
--R QuadTrans))
--R Type: Domain
--E 12
--S 13 of 26
BB:=BlowUpPackage(K,symb,PolyRing,E,BLMET)
--R
--R
--R (13)
--R BlowUpPackage(PseudoAlgebraicClosureOfRationalNumber,[x,y,z],DistributedMulti
--R variatePolynomial([x,y,z],PseudoAlgebraicClosureOfRationalNumber),DirectProdu
--R ct(3,NonNegativeInteger),BlowUpWithQuadTrans)
--R Type: Domain
--E 13
--S 14 of 26
P:= GeneralPackageForAlgebraicFunctionField(K,symb,PolyRing,E,ProjPt, _
PCS,Plc,DIVISOR,InfClsPoint,DesTree,BLMET)
--R
--R
--R (14)
--R GeneralPackageForAlgebraicFunctionField(PseudoAlgebraicClosureOfRationalNumbe
--R r,[x,y,z],DistributedMultivariatePolynomial([x,y,z],PseudoAlgebraicClosureOfR
--R ationalNumber),DirectProduct(3,NonNegativeInteger),ProjectivePlane(PseudoAlge
--R braicClosureOfRationalNumber),NeitherSparseOrDensePowerSeries(PseudoAlgebraic
--R ClosureOfRationalNumber),Places(PseudoAlgebraicClosureOfRationalNumber),Divis
--R or(Places(PseudoAlgebraicClosureOfRationalNumber)),InfClsPt(PseudoAlgebraicCl
--R osureOfRationalNumber,[x,y,z],BlowUpWithQuadTrans),DesingTree(InfClsPt(Pseudo
--R AlgebraicClosureOfRationalNumber,[x,y,z],BlowUpWithQuadTrans)),BlowUpWithQuad
--R Trans)
--R Type: Domain
--E 14
--S 15 of 26
ParamPackFC := _
LocalParametrizationOfSimplePointPackage(K,symb,PolyRing,E,ProjPt,PCS,Plc)
--R
--R
--R (15)
--R LocalParametrizationOfSimplePointPackage(PseudoAlgebraicClosureOfRationalNumb
--R er,[x,y,z],DistributedMultivariatePolynomial([x,y,z],PseudoAlgebraicClosureOf
--R RationalNumber),DirectProduct(3,NonNegativeInteger),ProjectivePlane(PseudoAlg
--R ebraicClosureOfRationalNumber),NeitherSparseOrDensePowerSeries(PseudoAlgebrai
--R cClosureOfRationalNumber),Places(PseudoAlgebraicClosureOfRationalNumber))
--R Type: Domain
--E 15
--S 16 of 26
ParamPack := ParametrizationPackage(K,symb,PolyRing,E,ProjPt,PCS,Plc)
--R
--R
--R (16)
--R ParametrizationPackage(PseudoAlgebraicClosureOfRationalNumber,[x,y,z],Distrib
--R utedMultivariatePolynomial([x,y,z],PseudoAlgebraicClosureOfRationalNumber),Di
--R rectProduct(3,NonNegativeInteger),ProjectivePlane(PseudoAlgebraicClosureOfRat
--R ionalNumber),NeitherSparseOrDensePowerSeries(PseudoAlgebraicClosureOfRational
--R Number),Places(PseudoAlgebraicClosureOfRationalNumber))
--R Type: Domain
--E 16
--S 17 of 26
RatSingPack := ProjectiveAlgebraicSetPackage(K,symb,PolyRing,E,ProjPt)
--R
--R
--R (17)
--R ProjectiveAlgebraicSetPackage(PseudoAlgebraicClosureOfRationalNumber,[x,y,z],
--R DistributedMultivariatePolynomial([x,y,z],PseudoAlgebraicClosureOfRationalNum
--R ber),DirectProduct(3,NonNegativeInteger),ProjectivePlane(PseudoAlgebraicClosu
--R reOfRationalNumber))
--R Type: Domain
--E 17
--S 18 of 26
IntDivPack := IntersectionDivisorPackage(K,symb,PolyRing,E,ProjPt,PCS,_
Plc,DIVISOR,InfClsPoint,DesTree,BLMET)
--R
--R
--R (18)
--R IntersectionDivisorPackage(PseudoAlgebraicClosureOfRationalNumber,[x,y,z],Dis
--R tributedMultivariatePolynomial([x,y,z],PseudoAlgebraicClosureOfRationalNumber
--R ),DirectProduct(3,NonNegativeInteger),ProjectivePlane(PseudoAlgebraicClosureO
--R fRationalNumber),NeitherSparseOrDensePowerSeries(PseudoAlgebraicClosureOfRati
--R onalNumber),Places(PseudoAlgebraicClosureOfRationalNumber),Divisor(Places(Pse
--R udoAlgebraicClosureOfRationalNumber)),InfClsPt(PseudoAlgebraicClosureOfRation
--R alNumber,[x,y,z],BlowUpWithQuadTrans),DesingTree(InfClsPt(PseudoAlgebraicClos
--R ureOfRationalNumber,[x,y,z],BlowUpWithQuadTrans)),BlowUpWithQuadTrans)
--R Type: Domain
--E 18
--S 19 of 26
IntFrmPack := InterpolateFormsPackage(K,symb,PolyRing,E,ProjPt,PCS,Plc,DIVISOR)
--R
--R
--R (19)
--R InterpolateFormsPackage(PseudoAlgebraicClosureOfRationalNumber,[x,y,z],Distri
--R butedMultivariatePolynomial([x,y,z],PseudoAlgebraicClosureOfRationalNumber),D
--R irectProduct(3,NonNegativeInteger),ProjectivePlane(PseudoAlgebraicClosureOfRa
--R tionalNumber),NeitherSparseOrDensePowerSeries(PseudoAlgebraicClosureOfRationa
--R lNumber),Places(PseudoAlgebraicClosureOfRationalNumber),Divisor(Places(Pseudo
--R AlgebraicClosureOfRationalNumber)))
--R Type: Domain
--E 19
--S 20 of 26
DesTrPack:= DesingTreePackage(K,symb,PolyRing,E,ProjPt,PCS,Plc,DIVISOR,_
InfClsPoint,DesTree,BLMET)
--R
--R
--R (20)
--R DesingTreePackage(PseudoAlgebraicClosureOfRationalNumber,[x,y,z],DistributedM
--R ultivariatePolynomial([x,y,z],PseudoAlgebraicClosureOfRationalNumber),DirectP
--R roduct(3,NonNegativeInteger),ProjectivePlane(PseudoAlgebraicClosureOfRational
--R Number),NeitherSparseOrDensePowerSeries(PseudoAlgebraicClosureOfRationalNumbe
--R r),Places(PseudoAlgebraicClosureOfRationalNumber),Divisor(Places(PseudoAlgebr
--R aicClosureOfRationalNumber)),InfClsPt(PseudoAlgebraicClosureOfRationalNumber,
--R [x,y,z],BlowUpWithQuadTrans),DesingTree(InfClsPt(PseudoAlgebraicClosureOfRati
--R onalNumber,[x,y,z],BlowUpWithQuadTrans)),BlowUpWithQuadTrans)
--R Type: Domain
--E 20
--S 21 of 26
PackPoly := PackageForPoly(K,PolyRing,E,#symb)
--R
--R
--R (21)
--R PackageForPoly(PseudoAlgebraicClosureOfRationalNumber,DistributedMultivariate
--R Polynomial([x,y,z],PseudoAlgebraicClosureOfRationalNumber),DirectProduct(3,No
--R nNegativeInteger),3)
--R Type: Domain
--E 21
--S 22 of 26
BB:= BlowUpPackage(K,symb,PolyRing,E, BLMET)
--R
--R
--R (22)
--R BlowUpPackage(PseudoAlgebraicClosureOfRationalNumber,[x,y,z],DistributedMulti
--R variatePolynomial([x,y,z],PseudoAlgebraicClosureOfRationalNumber),DirectProdu
--R ct(3,NonNegativeInteger),BlowUpWithQuadTrans)
--R Type: Domain
--E 22
--S 23 of 26
LinSer := LinearSystemFromPowerSeriesPackage(K,PCS)
--R
--R
--R (23)
--R LinearSystemFromPowerSeriesPackage(PseudoAlgebraicClosureOfRationalNumber,Nei
--R therSparseOrDensePowerSeries(PseudoAlgebraicClosureOfRationalNumber))
--R Type: Domain
--E 23
--S 24 of 26
f:PolyRing:= x**28*z**8 + 4*x**26*z**10 + 6*x**24*z**12 + 4*x**22*z**14 + _
4*x**21*y**9*z**6 + x**20*z**16 + 12*x**19*y**9*z**8 + _
12*x**17*y**9*z**10 + 4*x**15*y**9*z**12 + 6*x**14*y**18*z**4 + _
12*x**12*y**18*z**6 + 6*x**10*y**18*z**8 + 4*x**7*y**27*z*z + _
4*x**5*y**27*z**4 + y**36 + (-2*y**20*z**16)
--R
--R
--R (24)
--R 28 8 26 10 24 12 22 14 21 9 6 20 16 19 9 8
--R x z + 4x z + 6x z + 4x z + 4x y z + x z + 12x y z
--R +
--R 17 9 10 15 9 12 14 18 4 12 18 6 10 18 8 7 27 2
--R 12x y z + 4x y z + 6x y z + 12x y z + 6x y z + 4x y z
--R +
--R 5 27 4 36 20 16
--R 4x y z + y - 2y z
--IType: DistributedMultivariatePolynomial(...
--E 24
--S 25 of 26
fh:=homogenize(f,3)$P
--R
--R
--R (25)
--R 28 8 26 10 24 12 22 14 21 9 6 20 16 19 9 8
--R x z + 4x z + 6x z + 4x z + 4x y z + x z + 12x y z
--R +
--R 17 9 10 15 9 12 14 18 4 12 18 6 10 18 8 7 27 2
--R 12x y z + 4x y z + 6x y z + 12x y z + 6x y z + 4x y z
--R +
--R 5 27 4 36 20 16
--R 4x y z + y - 2y z
--IType: DistributedMultivariatePolynomial([x,y,z],...
--E 25
--S 26 of 26
setCurve(fh)$P
--R
--R
--R (26)
--R 28 8 26 10 24 12 22 14 21 9 6 20 16 19 9 8
--R x z + 4x z + 6x z + 4x z + 4x y z + x z + 12x y z
--R +
--R 17 9 10 15 9 12 14 18 4 12 18 6 10 18 8 7 27 2
--R 12x y z + 4x y z + 6x y z + 12x y z + 6x y z + 4x y z
--R +
--R 5 27 4 36 20 16
--R 4x y z + y - 2y z
--IType: DistributedMultivariatePolynomial([x,y,z],...
--E 26
)spool
)lisp (bye)
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