1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
|
\documentclass{article}
\usepackage{axiom}
\begin{document}
\title{\$SPAD/src/input TSETCATButcher.input}
\author{The Axiom Team}
\maketitle
\begin{abstract}
\end{abstract}
\eject
\tableofcontents
\eject
<<*>>=
-----------------------------------------------------------------------------
--% Domains Definitions
-----------------------------------------------------------------------------
)clear all
ls : List Symbol := [b1,x,y,z,t,v,u,w];
V := OVAR(ls);
R := Integer;
E := IndexedExponents V;
P := NSMP(R, V);
LP := List(P);
-----------------------------------------------------------------------------
--% Initialisations
-----------------------------------------------------------------------------
b1: P := 'b1;
x: P := 'x;
y: P := 'y;
z: P := 'z;
t: P := 't;
u: P := 'u;
v: P := 'v;
w: P := 'w;
f0 := b1 + y + z - t - w;
f1 := 2*z*u + 2*y*v + 2*t*w - 2*w**2 - w - 1 ;
f2 := 3*z*u**2 + 3*y*v**2 - 3*t*w**2 + 3*w**3 + 3*w**2 - t + 4*w ;
f3 := 6*x*z*v - 6*t*w**2 + 6*w**3 - 3*t*w + 6*w**2 - t + 4*w ;
f4 := 4*z*u**3+ 4*y*v**3+ 4*t*w**3- 4*w**4 - 6*w**3+ 4*t*w- 10*w**2- w- 1 ;
f5 := 8*x*z*u*v +8*t*w**3 -8*w**4 +4*t*w**2 -12*w**3 +4*t*w -14*w**2 -3*w -1 ;
f6 := 12*x*z*v**2+12*t*w**3 -12*w**4 +12*t*w**2 -18*w**3 +8*t*w -14*w**2 -w -1;
f7 := -24*t*w**3 + 24*w**4 - 24*t*w**2 + 36*w**3 - 8*t*w + 26*w**2 + 7*w + 1 ;
lp := [f0,f1,f2,f3,f4,f5,f6,f7];
-----------------------------------------------------------------------------
--% Computations
-----------------------------------------------------------------------------
T := WUTSET(R,E,V,P);
medialSet(lp)$T
characteristicSet(lp)$T
characteristicSerie(lp)$T
zeroSetSplit(lp)$T
T := REGSET(R,E,V,P)
zeroSetSplit(lp)$T
ST := SREGSET(R,E,V,P)
zeroSetSplit(lp)$ST
lmpack := LAZM3PK(R,E,V,P,T,ST);
zeroSetSplit(lp,false)$lmpack
@
\eject
\begin{thebibliography}{99}
\bibitem{1} nothing
\end{thebibliography}
\end{document}
|
