source: git/Tst/New/stdZtests.tst @ 2a4bc6e

fieker-DuValspielwiese
Last change on this file since 2a4bc6e was 2a4bc6e, checked in by Adi Popescu <adi_popescum@…>, 9 years ago
Add tests
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1LIB "tst.lib";
2tst_init();
3
4LIB("primdec.lib");
5
6
7//Singular Trac #636
8
9ring r=integer,(t,a,b,c,d,e,f,g,h,i,j),ws(1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1);
10ideal inI=
113,
12gh+2fi+ej,
13dh+2ci+bj,
14df+2cg+aj,
15de+2bg+ai,
16ce+2bf+ah;
17std(inI);
18
19//Github Adi #39
20 
21
22ring rng = (integer),(x,y,z),(ls(3),C);
23ideal J = -2xz3+x2yz,3z-2xy-3xy2;
24ideal gJ = std(J);
25"Zweite:";
26ideal ggJ = std(gJ);
27gJ;ggJ;
28reduce(J,gJ);
29
30
31
32//Github Adi #32
33
34ring rng = (integer),(x,y,z),dp;
35ideal I = -25*x^3+104*x*y^3-23*y^2*z-128;
36ideal J = -118*x*y^3*z+50*x*y^2*z^2-50*x*y*z-49*y,149*x*y^2*z^2-142*y^2-112;
37ideal gI =  std(I);
38ideal gJ =  std(J);
39reduce (I,gI );
40reduce (J,gJ );
41
42option(redSB);
43
44
45ring rng = (integer),(x,y,z),(dp(3),C);
46ideal I = -27*x+25*z,-46*x*z+35*x,21*x-42;
47ideal gI =  std(I);
48ideal ggI =  std(gI);
49reduce (I,gI );
50
51
52//Github Adi #33
53
54
55ring rng = (integer),(x,y,z),dp;
56option(redSB);
57option(redTail);
58ideal I = -5*z^2-y*z^2, x^3*y*z-z^2+1, y^2*z^2+5*x^2*y*z;
59ideal gI =  std(I);
60ideal ggI =  std(gI);
61gI;
62ggI;
63reduce(I,gI);
64
65
66ring rng = (integer),(x,y,z),(dp(3),C);
67option(redSB);
68option(redTail);
69ideal I = -5*x*z^2-73*y*z^2, 68*x^3*y*z-129*x*z^2+98, 11*y^3*z^2+85*x^2*y*z;
70ideal gI =  std(I);
71ideal ggI =  std(gI);
72gI;
73ggI;
74reduce(I,gI);
75
76
77option(redSB);
78
79
80ring rng = (integer),(x,y,z),(dp(3),C);
81ideal I = -49*y^2+40*z^2+17,-34*z^2-3,-25*y*z-28*z;
82ideal gI =  std(I);
83ideal ggI =  std(gI);
84gI;
85ggI;
86reduce(I,gI);
87
88//Github Adi #36
89
90ring rng = (0),(x,y,z),(ls(3),C);
91ideal I =
92(68/23)*z-(142/133)*y*z-(64/37)*x*y+(65/71)*x*y*z^2+(1/3)*x^2*y*z,(-2/7)*x*y*z-(61/91)*x*y^2*z;
93ideal J = (3/53)*x*z+(47/44)*x*y^2*z,(-40/107)*x*z^2+22*x*z^3;
94ideal gI = std(I);
95ideal ggI = std(gI);
96ideal gJ = std(J);
97ideal ggJ = std(gJ);
98gI;ggI;gJ;ggJ;
99reduce (I,gI );
100reduce (J,gJ );
101
102
103//Github Adi #37
104
105ring rng = (integer),(x,y,z),dp;
106ideal i = -5*z^2-y*z^2, x^3*y*z-z^2+1, y^2*z^2+5*x^2*y*z;
107ideal gI =  std(i);
108ideal ggI =  std(gI);
109gI;ggI;
110reduce(i,gI);
111
112
113
114//Github Adi #39
115//Problem mit ls aber kein problem mit ds,Ds,lp,dp
116//ls solved: in posinL11Ring one should take the Fdeg instead of pLmCmp
117
118option(redSB);
119
120
121ring rng = (integer),(x,y,z),(ls(3),C);
122ideal I = 1+7*y*z^3,-4*x+2*x*z+14*x^2,-9-10*z^2+8*x*z;
123ideal J = -14*x*z^3+5*x^2*y*z,15*z-7*x*y+12*x*y*z^2-11*x*y^2;
124ideal gI =  std(I);
125ideal ggI =  std(gI);
126ideal gJ =  std(J);
127ideal ggJ =  std(gJ);
128reduce (I,gI );
129reduce (J,gJ );
130idealsEqual(gI,ggI );
131idealsEqual(gJ,ggJ );
132
133
134
135//Github Adi #39
136//redtail hat Problemen wenn man im posinL11Ring pLmCmp nimmt statt FDeg
137
138
139ring rng = (integer),(x,y,z),(ls(3),C);
140option("redTail");
141option(redSB);
142ideal I = -14*y*z^2+7*x-11*x*y,-15*x*y,-8*y^2*z^2+5*x*y*z,5*y*z^2-15*y^2*z+8*x^2*z^2+3*x^2*y^2;
143ideal gI =  std(I);
144ideal ggI =  std(gI);
145reduce(I,gI);
146idealsEqual(gI,ggI );
147gI;
148
149
150//Github Adi #40
151
152ring rng = (integer),(x,y,z),(ls(3),C);
153ideal I = -10*x*y*z,12*z^2-8*y-14*x*z+14*x^2*y*z,-7*y^4+4*x^2+9*x^2*y;
154ideal J = -1+7*y^3*z,-15+14*x+14*x*y*z,15*z+7*x-10*x*z+5*x*y^2;
155ideal gI =  std(I);
156gI;
157reduce(I,gI);
158ideal gJ =  std(J);
159gJ;
160reduce(J,gJ);
161       
162ring rng = (integer),(x,y,z),(ls(3),C);
163ideal I = 7*x*z+3*x*z^2-x^2,4*z+6*z^2+2*y;
164ideal J = 5-5*z^2+3*y^2*z;
165ideal gI =  std(I);
166gI;
167reduce(I,gI);
168ideal gJ =  std(J);
169gJ;
170reduce(J,gJ);     
171
172
173
174//Github Adi #27
175
176ring rng = (integer),(y(1..4),x(1..3)),dp;
177ideal I  = 12*y(3)*y(4)+19*y(1)+6*y(4),2*x(3)*y(4)-2*y(1)+7,2*y(1)*y(3)+y(1)-7*y(3)+6,7*x(3)*y(3)-6*x(3)-6*y(3)-3,y(1)^2+126*y(3)*y(4)+196*y(1)+60*y(4),x(3)*y(1)-3,x(3)*y(3)*y(4)+30*y(3)*y(4)+48*y(1)+15*y(4)+3,48*y(3)*y(4)^2-76*y(1)*y(4)+24*y(4)^2+266*y(4),48*y(3)^2*y(4)+48*y(3)*y(4)+12*y(4),48*y(1)*y(3)*y(4)+24*y(1)*y(4)-168*y(3)*y(4)-84*y(4),48*x(3)*y(3)*y(4)-76*x(3)*y(1)-48*y(1)*y(3)+24*x(3)*y(4)+266*x(3)-24*y(1)+168*y(3)+84,-266*x(3)*y(4)+168*y(3)*y(4)+84*y(4),266*x(3)*y(3)+168*y(3)^2-228*x(3)-60*y(3)-72,336*x(3)*y(3)*y(4)-60*x(3)*y(4)-144*y(3)*y(4)-72*y(4),-266*x(3)^2-168*x(3)*y(3)+144*x(3)+144*y(3)+72,-168*y(3)^2*y(4)+266*y(1)*y(3)+60*y(3)*y(4)-228*y(1)-931*y(3)+72*y(4)+798,-168*y(3)^3-24*y(3)^2+102*y(3)+36,-168*y(1)*y(3)^2+60*y(1)*y(3)+588*y(3)^2+72*y(1)-210*y(3)-252,168*x(3)*y(3)^2+168*x(3)*y(3)-144*y(3)^2+42*x(3)-144*y(3)-36,28*x(3)*y(3)*y(4)-28*y(1)*y(3)+14*x(3)*y(4)-24*y(3)*y(4)+24*y(1)+98*y(3)-12*y(4)-84,-28*x(3)*y(3)^2+10*x(3)*y(3)+12*x(3),-28*x(3)*y(1)*y(3)+24*x(3)*y(1)+98*x(3)*y(3)-84*x(3),28*x(3)^2*y(3)+14*x(3)^2-24*x(3)*y(3)-12*x(3),48*y(1)*y(4)^2-84*y(4)^2,48*y(1)*y(3)*y(4)+24*y(1)*y(4)-84*y(3)*y(4)+72*y(4),72*y(4)^2,48*x(3)*y(1)*y(4)-84*x(3)*y(4)-72*y(4),-48*y(1)^2*y(3)-24*y(1)^2+252*y(1)*y(3)+72*y(3)*y(4)+12*y(1)-294*y(3)+36*y(4)+252,-8*y(1)^2*y(4)+504*y(3)*y(4)^2-756*y(1)*y(4)+252*y(4)^2+2744*y(4),504*y(3)^2*y(4)+492*y(3)*y(4)+120*y(4),504*y(1)*y(3)*y(4)+240*y(1)*y(4)-1764*y(3)*y(4)-840*y(4),-8*x(3)*y(1)^2+504*x(3)*y(3)*y(4)-756*x(3)*y(1)-504*y(1)*y(3)+252*x(3)*y(4)+2744*x(3)-240*y(1)+1764*y(3)+840,168*y(1)*y(3)*y(4)-144*y(1)*y(4)-294*y(3)*y(4)+252*y(4),168*y(1)*y(3)^2-60*y(1)*y(3)-294*y(3)^2-72*y(1)+504*y(3)-216,252*y(3)*y(4)-216*y(4),-168*x(3)*y(1)*y(3)-84*x(3)*y(1)+294*x(3)*y(3)+144*y(1)*y(3)-252*x(3)+72*y(1)-252*y(3)+216,-28*x(3)*y(1)*y(4)-2744*x(3)*y(4)+24*y(1)*y(4)+1764*y(3)*y(4)+840*y(4),28*x(3)*y(1)*y(3)-24*x(3)*y(1)+2744*x(3)*y(3)+1764*y(3)^2-2352*x(3)-672*y(3)-720,3528*x(3)*y(3)*y(4)-672*x(3)*y(4)-1512*y(3)*y(4)-720*y(4),-28*x(3)^2*y(1)-2744*x(3)^2+24*x(3)*y(1)-1764*x(3)*y(3)+1512*x(3)+1512*y(3)+720,28*y(1)^2*y(3)-1764*y(3)^2*y(4)-24*y(1)^2+2646*y(1)*y(3)+630*y(3)*y(4)-2268*y(1)-9604*y(3)+756*y(4)+8232,-1764*y(3)^3-210*y(3)^2+1056*y(3)+360,-1764*y(1)*y(3)^2+672*y(1)*y(3)+6174*y(3)^2+720*y(1)-2352*y(3)-2520,1764*x(3)*y(3)^2+1722*x(3)*y(3)-1512*y(3)^2+420*x(3)-1476*y(3)-360,24*x(3)*y(4)^2+24*y(1)*y(4),24*x(3)*y(3)*y(4)+38*x(3)*y(1)+24*y(1)*y(3)+12*x(3)*y(4)+12*y(1),24*x(3)*y(1)*y(4),24*x(3)^2*y(4),-24*y(1)*y(3)*y(4)+38*y(1)^2-12*y(1)*y(4)-133*y(1),-24*y(1)*y(3)^2-24*y(1)*y(3)-6*y(1),-24*y(1)^2*y(3)-12*y(1)^2+84*y(1)*y(3)+42*y(1),-24*x(3)*y(1)*y(3)-12*x(3)*y(1)+84*x(3)*y(3)+42*x(3),-4*x(3)*y(1)*y(4)-4*y(1)^2+14*x(3)*y(4)+14*y(1),-4*x(3)*y(1)*y(3)-2*x(3)*y(1),-4*x(3)*y(1)^2+14*x(3)*y(1),-4*x(3)^2*y(1)+14*x(3)^2,84*x(3)*y(3)*y(4)+133*x(3)*y(1)-72*x(3)*y(4)-114*y(1),84*x(3)*y(3)^2-30*x(3)*y(3)-36*x(3),-84*x(3)*y(1)*y(3)-42*x(3)*y(1)+72*y(1)*y(3)+36*y(1),-84*x(3)^2*y(3)-42*x(3)^2+72*x(3)*y(3)+36*x(3),-14*x(3)^2*y(4)-14*x(3)*y(1)+12*x(3)*y(4)+12*y(1),14*x(3)^2*y(3)-12*x(3)^2,-14*x(3)^2*y(1)+12*x(3)*y(1),-14*x(3)^3+12*x(3)^2,28*x(3)*y(1)*y(3)-5*x(3)*y(1)-49*x(3)*y(3)-12*y(1)*y(3)+42*x(3)-6*y(1),-24*y(1)^2*y(4)+42*y(1)*y(4),-24*y(1)^2*y(3)-12*y(1)^2+42*y(1)*y(3)-36*y(1),-36*y(1)*y(4),-36*x(3)*y(4),-252*x(3)*y(4)^2-252*y(1)*y(4),-4*x(3)*y(1)^2-252*x(3)*y(3)*y(4)-392*x(3)*y(1)-252*y(1)*y(3)-120*x(3)*y(4)-120*y(1),-252*x(3)*y(1)*y(4),-252*x(3)^2*y(4),-4*y(1)^3+252*y(1)*y(3)*y(4)-378*y(1)^2+126*y(1)*y(4)+1372*y(1),252*y(1)*y(3)^2+246*y(1)*y(3)+60*y(1),252*y(1)^2*y(3)+120*y(1)^2-882*y(1)*y(3)-420*y(1),252*x(3)*y(1)*y(3)+120*x(3)*y(1)-882*x(3)*y(3)-420*x(3),-14*x(3)*y(1)^2-882*x(3)*y(3)*y(4)-1372*x(3)*y(1)+12*y(1)^2+756*x(3)*y(4)+1176*y(1),-882*x(3)*y(3)^2+336*x(3)*y(3)+360*x(3),882*x(3)*y(1)*y(3)+420*x(3)*y(1)-756*y(1)*y(3)-360*y(1),882*x(3)^2*y(3)+420*x(3)^2-756*x(3)*y(3)-360*x(3),-38*x(3)*y(4)^2+24*y(3)*y(4)^2+12*y(4)^2,24*y(3)^2*y(4)+24*y(3)*y(4)+6*y(4),24*x(3)*y(3)*y(4)^2+12*x(3)*y(4)^2,-38*x(3)^2*y(4),-24*y(3)^2*y(4)^2+38*y(1)*y(3)*y(4)-12*y(3)*y(4)^2-133*y(3)*y(4),-24*y(3)^3*y(4)-24*y(3)^2*y(4)-6*y(3)*y(4),-24*y(1)*y(3)^2*y(4)-12*y(1)*y(3)*y(4)+84*y(3)^2*y(4)+42*y(3)*y(4),38*x(3)*y(1)*y(3)+12*x(3)*y(3)*y(4)-133*x(3)*y(3)-12*y(1)*y(3)+6*x(3)*y(4)-6*y(1)+42*y(3)+21,4*x(3)*y(3)*y(4)^2-4*y(1)*y(3)*y(4)+2*x(3)*y(4)^2+120*y(3)*y(4)^2-192*y(1)*y(4)+14*y(3)*y(4)+60*y(4)^2+672*y(4),120*y(3)^2*y(4)+120*y(3)*y(4)+30*y(4),120*y(1)*y(3)*y(4)+60*y(1)*y(4)-420*y(3)*y(4)-210*y(4),4*x(3)^2*y(3)*y(4)-4*x(3)*y(1)*y(3)+2*x(3)^2*y(4)+120*x(3)*y(3)*y(4)-192*x(3)*y(1)+14*x(3)*y(3)-120*y(1)*y(3)+60*x(3)*y(4)+672*x(3)-60*y(1)+420*y(3)+210,114*x(3)*y(4)-72*y(3)*y(4)-36*y(4),-133*x(3)*y(3)^2+114*x(3)*y(3)+42*y(3)^2-15*y(3)-18,-84*x(3)*y(3)^2*y(4)+72*y(3)^2*y(4)-36*x(3)*y(4)+36*y(3)*y(4),133*x(3)^2*y(3)-156*x(3)*y(3)-21*x(3)+36*y(3)+18,-684*x(3)*y(4)+432*y(3)*y(4)+216*y(4),14*x(3)*y(3)^2+660*x(3)*y(3)+420*y(3)^2-576*x(3)-150*y(3)-180,14*x(3)^2*y(3)*y(4)-12*x(3)^2*y(4)+840*x(3)*y(3)*y(4)-150*x(3)*y(4)-360*y(3)*y(4)-180*y(4),-14*x(3)^2*y(3)-672*x(3)^2-408*x(3)*y(3)+366*x(3)+360*y(3)+180,12*x(3)*y(3)*y(4)-432*y(3)^2*y(4)+672*y(1)*y(3)+6*x(3)*y(4)+144*y(3)*y(4)-576*y(1)-2352*y(3)+180*y(4)+2016,-14*x(3)*y(3)^3+5*x(3)*y(3)^2-420*y(3)^3+6*x(3)*y(3)-60*y(3)^2+255*y(3)+90,-14*x(3)*y(1)*y(3)^2+12*x(3)*y(1)*y(3)+49*x(3)*y(3)^2-420*y(1)*y(3)^2-42*x(3)*y(3)+150*y(1)*y(3)+1470*y(3)^2+180*y(1)-525*y(3)-630,14*x(3)^2*y(3)^2+7*x(3)^2*y(3)+408*x(3)*y(3)^2+414*x(3)*y(3)-360*y(3)^2+105*x(3)-360*y(3)-90,-24*y(1)*y(3)*y(4)^2+42*y(3)*y(4)^2,-24*y(1)*y(3)^2*y(4)-12*y(1)*y(3)*y(4)+42*y(3)^2*y(4)-36*y(3)*y(4),-36*y(3)*y(4)^2,12*x(3)*y(1)*y(4)+36*x(3)*y(4)-18*y(4),4*x(3)*y(1)*y(4)^2+392*x(3)*y(4)^2+120*y(1)*y(4)^2-252*y(3)*y(4)^2-336*y(4)^2,120*y(1)*y(3)*y(4)-252*y(3)^2*y(4)+60*y(1)*y(4)-456*y(3)*y(4)+120*y(4),-252*x(3)*y(3)*y(4)^2-120*x(3)*y(4)^2+180*y(4)^2,4*x(3)^2*y(1)*y(4)+392*x(3)^2*y(4)+120*x(3)*y(1)*y(4)-216*x(3)*y(4)-180*y(4),-4*y(1)^2*y(3)*y(4)+252*y(3)^2*y(4)^2-378*y(1)*y(3)*y(4)+126*y(3)*y(4)^2+1372*y(3)*y(4),252*y(3)^3*y(4)+246*y(3)^2*y(4)+60*y(3)*y(4),252*y(1)*y(3)^2*y(4)+120*y(1)*y(3)*y(4)-882*y(3)^2*y(4)-420*y(3)*y(4),-4*x(3)*y(1)^2*y(3)-378*x(3)*y(1)*y(3)-120*y(1)^2*y(3)-120*x(3)*y(3)*y(4)-60*y(1)^2+1372*x(3)*y(3)+756*y(1)*y(3)-60*x(3)*y(4)+180*y(3)*y(4)+90*y(1)-1176*y(3)+90*y(4)+420,-12*x(3)*y(1)*y(4)+432*y(1)*y(3)*y(4)-1176*x(3)*y(4)-360*y(1)*y(4)+1008*y(4),14*x(3)*y(1)*y(3)^2-12*x(3)*y(1)*y(3)+1372*x(3)*y(3)^2+420*y(1)*y(3)^2-1176*x(3)*y(3)-150*y(1)*y(3)-1176*y(3)^2-180*y(1)+1428*y(3)-360,882*x(3)*y(3)^2*y(4)-756*y(3)^2*y(4)+360*x(3)*y(4)+270*y(3)*y(4)-540*y(4),-14*x(3)^2*y(1)*y(3)-1372*x(3)^2*y(3)-408*x(3)*y(1)*y(3)-210*x(3)*y(1)+2352*x(3)*y(3)+360*y(1)*y(3)-420*x(3)+180*y(1)-1008*y(3)+360,-12*x(3)*y(3)*y(4)^2-19*x(3)*y(1)*y(4)+6*y(1)*y(4),-12*x(3)*y(3)^2*y(4)-19*x(3)*y(1)*y(3)-6*x(3)*y(3)*y(4)+6*y(1)*y(3)+3*y(1),6*x(3)*y(1)*y(4),6*x(3)^2*y(4),2*x(3)^2*y(4)^2+2*x(3)*y(1)*y(4)+60*x(3)*y(4)^2+60*y(1)*y(4),2*x(3)*y(1)*y(3)+60*x(3)*y(3)*y(4)+96*x(3)*y(1)+60*y(1)*y(3)+30*x(3)*y(4)+30*y(1),2*x(3)^2*y(1)*y(4)+60*x(3)*y(1)*y(4),2*x(3)^3*y(4)+60*x(3)^2*y(4),-4*x(3)*y(1)*y(3)*y(4)-x(3)*y(1)*y(4)+7*x(3)*y(3)*y(4)-60*y(1)*y(3)*y(4)+96*y(1)^2-30*y(1)*y(4)-336*y(1),-2*x(3)*y(1)*y(3)^2-x(3)*y(1)*y(3)-60*y(1)*y(3)^2-60*y(1)*y(3)-15*y(1),-2*x(3)*y(1)^2*y(3)+7*x(3)*y(1)*y(3)-60*y(1)^2*y(3)-30*y(1)^2+210*y(1)*y(3)+105*y(1),-2*x(3)^2*y(1)*y(3)+7*x(3)^2*y(3)-60*x(3)*y(1)*y(3)-30*x(3)*y(1)+210*x(3)*y(3)+105*x(3),-6*x(3)^2*y(4)+216*x(3)*y(3)*y(4)+336*x(3)*y(1)-180*x(3)*y(4)-288*y(1),7*x(3)^2*y(3)^2-6*x(3)^2*y(3)+210*x(3)*y(3)^2-75*x(3)*y(3)-90*x(3),-7*x(3)^2*y(1)*y(3)-204*x(3)*y(1)*y(3)-105*x(3)*y(1)+180*y(1)*y(3)+90*y(1),-7*x(3)^3*y(3)-204*x(3)^2*y(3)-105*x(3)^2+180*x(3)*y(3)+90*x(3),-2*x(3)*y(1)^2*y(4)-126*x(3)*y(3)*y(4)^2-196*x(3)*y(1)*y(4)-60*y(1)^2*y(4)+168*y(1)*y(4),-2*x(3)*y(1)^2*y(3)-126*x(3)*y(3)^2*y(4)-196*x(3)*y(1)*y(3)-60*y(1)^2*y(3)-60*x(3)*y(3)*y(4)-30*y(1)^2+168*y(1)*y(3)-60*y(1),60*x(3)*y(1)*y(4)-90*y(1)*y(4),60*x(3)^2*y(4)-90*x(3)*y(4);
178ideal J  = std(I);
179J;
180reduce(I,J);
181
182
183//Github Adi #20
184
185ring rng = (integer),(xw,xq,xk),(lp(2),lp(1),C);
186ideal I = -4*xk+10;
187ideal J = -7*xw+4*xk,-13;
188ideal IJ = intersect(I,J);
189ideal stdIstdJ = intersect(std(I),std(J) );
190reduce(IJ,stdIstdJ);
191reduce(stdIstdJ,IJ);
192
193
194//Github Adi #42
195
196ring rng = (integer),(x,y,z),(dp(1),dp(2),C);
197ideal I = 20*x*z+7*y^2;
198ideal J = 6*x*y+20*z+6,-5*x-16*y-11,8*x*y+2*y^2;
199ideal gI =  std(I);
200gI;
201ideal ggI =  std(gI);
202ideal gJ =  std(J);
203gJ;
204ideal ggJ =  std(gJ);
205std(reduce (I,gI )  );
206std(reduce (J,gJ )  );
207size(gJ)== size(ggJ );
208   
209
210
211
212
213//Github Adi #38
214
215ring rng =  (integer),(x(1),x(3),x(4),x(5)),(dp(4),C);
216ideal Q = x(4)^2-x(3)*x(5),
217x(3)*x(4)-x(5),
218x(3)^2-x(4),
219x(1)^2-121*x(5)^2-11*x(5)-1;
220Q = std(Q);
221qring qr = Q;
222ideal a = x(5)-2;
223ideal j = 6,x(5)-2,x(4)+2,x(3)-2,x(1)+3;
224ideal aJJ = quotient(a*j,j); // ?
225aJJ;
226std(aJJ);
227aJJ;
228
229//segfaults
230//ok mit neue posinL11Ring
231
232ring rng = (integer),(x(1),x(2),x(3)),(ls(3),C);
233ideal I = -3*x(1)-10*x(1)*x(3);
234ideal J = -9*x(2)+9*x(1)*x(2),-3*x(2)*x(3)^2+10*x(1)*x(3)^2+10*x(1)^2*x(2);
235ideal gI =  std(I);
236ideal ggI =  std(gI);
237ideal gJ =  std(J);
238ideal ggJ =  std(gJ);
239gI;
240gJ;
241std(reduce (I,gI )  );
242std(reduce (J,gJ )  );
243
244
245
246//ok now
247
248ring rng = (integer),(x(1),x(2)),(ls(2),C);
249ideal I = -41*x(1)-10*x(1)^3*x(2),-22*x(2)^2-12*x(1)^3;
250ideal J = 14,35*x(1)*x(2)+12*x(1)*x(2)^3;
251ideal gI =  std(I);
252ideal ggI =  std(gI);
253ideal gJ =  std(J);
254gI;
255gJ;
256std(reduce (I,gI )  );
257std(reduce (J,gJ )  );
258
259//ok now
260
261ring rng = (integer),(x(1),x(2)),(ls(2),C);
262ideal I = -22-24*x(1)^3,4*x(1)*x(2)^2-19*x(1)^2*x(2);
263ideal J = 16*x(1)*x(2),12-31*x(1)-43*x(1)*x(2);
264ideal gI =  std(I);
265ideal ggI =  std(gI);
266ideal gJ =  std(J);
267gI;
268gJ;
269std(reduce (I,gI )  );
270std(reduce (J,gJ )  );
271
272//in the new posinL11Ring works smooth, in the other one takes forever
273
274ring rng = (integer),(x(1),x(2)),(ls(2),C);
275ideal I = -11*x(2),3*x(2)^2+8*x(1)*x(2)+3*x(1)*x(2)^2+12*x(1)^3,8*x(1)*x(2)^2-15*x(1)^3;
276ideal J = -2*x(1)-11*x(1)^2+10*x(1)^2*x(2),-13*x(1)*x(2)-10*x(1)^3;
277ideal gI =  std(I);
278ideal ggI =  std(gI);
279ideal gJ =  std(J);
280gI;
281gJ;
282std(reduce (I,gI )  );
283std(reduce (J,gJ )  );
284
285//ok now
286
287ring rng = (integer),(x(1),x(2)),(ls(2),C);
288ideal I = -10,15*x(1)*x(2)+8*x(1)*x(2)^2;
289ideal J = 2*x(1)^2*x(2),-3+2*x(1)*x(2);
290ideal gI =  std(I);
291ideal gJ =  std(J);
292gI;
293gJ;
294std(reduce (I,gI )  );
295std(reduce (J,gJ )  );
296
297//ok now
298
299ring rng = (integer),(x(1)),(ls(1),C);
300ideal I = -12+2*x(1)^2;
301ideal J = -6*x(1)^2+11*x(1)^4,-15;
302ideal gI =  std(I);
303ideal gJ =  std(J);
304gI;
305gJ;
306std(reduce (I,gI )  );
307std(reduce (J,gJ )  );
308
309//Github Adi #47
310
311ring R = integer,x,dp;
312reduce(x,std(2*x));
313
314ring S = integer,x,ls;
315reduce(x,std(2*x));
316
317//Github Adi #46
318
319ring rng = integer,x,ds;
320ideal J = -7, -3-15*x^2, -6+18*x-x^2;
321ideal gJ =  std(J);
322reduce(J,gJ);
323
324//Github Adi #49
325
326ring rng = (integer),(x,y,z),(dp(3),C);
327ideal Q = x,yz2+5;
328qring QR = std(Q);
329poly a = z;
330std(a);
331ideal J = 5,z,x;
332ideal aJJ =  quotient( a*J, J );
333aJJ;
334
335//Github Adi #50
336
337ring rng = (integer),(x(1)),(lp(1),C);
338ideal I = 4*x(1)^3+35*x(1)^2+24*x(1),45*x(1),35;
339ideal J = 18*x(1)^3+43*x(1)^2,-7*x(1)-10,-12*x(1)^2-20*x(1)+13;
340ideal I_J =  intersect(I,J);
341size(I_J);
342
343//Github Adi #21
344
345ring r = integer,(a,d,g,h,i,j),ws(-1,-1,-1,-1,-1,-1);
346ideal inI= gh+2i, dh+j, d+2g+aj, d+2g+ai;
347ideal g= std(inI);
348reduce(inI,g);
349///
350ring rng = (integer),(x,y,z),(ws(-1,-1,-1),C);
351ideal I  = 6yz-6,6xy-6yz-8y;
352ideal gI  =std(I);
353reduce(I,gI);
354///
355ring rng = (integer),(x,y,z),(ws(-1,-1,-1),C);
356ideal I  = -10x+15y,4y-7;
357ideal gI  =std(I);
358reduce(I,gI);
359///
360ring rng = (integer),(x,y,z),(ws(-1,-1,-1),C);
361ideal I  = 9x-14y,15z-2;
362ideal gI  =std(I);
363reduce(I,gI);
364///
365ring rng = (integer),(x,y),(ws(-1,-1),C);
366ideal I  = 8x+7,-6x-13y;
367ideal gI  =std(I);
368reduce(I,gI);
369
370// Singular bug #648
371
372ring r=integer,(t,x(1..4)),ws(1,-1,-11,-3,-19);
373ideal inJ =
374 3,
375 t*x(3)*x(4)+2*t*x(1)*x(2),
376 t*x(1)*x(2)^2+2*t^3*x(1)*x(2)*x(3),
377 x(1)^2*x(2)*x(3)*x(4)+2*t^2*x(1)^3*x(2)*x(3);
378ideal J =
379 x(1)^2*x(2)*x(3)*x(4)-t*x(1)^2*x(2)^3+5*t*x(1)^2*x(2)*x(3)*x(4)+16*t^3*x(1)*x(2)*x(3)^2*x(4)-2*x(1)^3*x(2)^2-1536*x(1)^3*x(3)*x(4)+32*t^2*x(1)^2*x(3)^2*x(4),
380 t*x(1)*x(2)^2+2*x(1)^2*x(2)+2*t^3*x(1)*x(2)*x(3)-192*x(1)^3+4*t^2*x(1)^2*x(3),
381 t*x(3)*x(4)-3*t^2*x(3)*x(4)-t*x(1)*x(2)-2*x(1)^2,
382 3-t;
383reduce(inJ,J);
384
385//Github Adi #48
386
387ring rng = integer,x,ds;
388ideal I = -8*x+2*x^2, -16+9*x^2-x^3;
389ideal gI =  std(I);
390gI;
391std(gI);
392reduce(I,gI);
393
394//Github Adi #43
395
396ring rng = integer,(x),lp;
397short = 0 ;
398ideal J = -10*x^2-9*x,-8*x^2-4;
399       ideal gJ =  std(J);
400       ideal ggJ =  std(gJ);
401reduce (J,gJ );
402
403ring rng = integer,x,lp;
404option(noredSB) ;
405option(noredTail) ;
406ideal I   = -8*x^3+7*x^2-7*x, 8*x^2+10*x-2;
407ideal gI  =  std(I);
408ideal ggI =  std(gI);
409reduce (I,gI ); // <>0 !!
410gI;
411ggI;
412
413ring rng = integer,x,lp;
414short = 0 ;
415ideal I = 8*x^3-4,-10*x^3+9*x;
416       ideal gI =  std(I);
417       ideal ggI =  std(gI);
418reduce (I,gI );
419size(gI)== size(ggI) ;
420gI;
421ggI;
422
423//Github Adi #25
424
425ring r = integer,(a,d,g,h,i,j),ws(-1,-1,-1,-1,-1,-1);
426ideal inI= gh+2i, dh+j, d+2g+aj, d+2g+ai;
427ideal g= std(inI);
428g;
429reduce(inI,g);
430
431ring rng = (integer),(x,y,z),(ws(-1,-1,-1),C);
432ideal I = 6yz-6,6xy-6yz-8y;
433ideal gI =std(I);
434I;gI;
435reduce(I,gI);
436
437//Yue's Bug
438
439 ring r = 0,(t,x(1..4)),ws(1,-1,-1,-1,-1);
440 ideal I =
441 2*x(1)^2+3*x(1)*x(2)+24*x(3)*x(4),
442 8*x(1)^3+x(2)*x(3)*x(4)+18*x(3)^2*x(4);
443 I = std(I);
444 ring s = integer,(t,x(1..4)),ws(1,-1,-1,-1,-1);
445 ideal I = fetch(r,I);
446 ideal J = I,2-t;
447 ideal J2 = std(J);
448 J2;
449 reduce(J,J2);
450 std(J2);
451 
452//Infinite reduction small example
453
454  ring r = integer,(t,x,y),(dp(1),ds);
455  ideal i = 6+y+x2,4+x;
456  ideal gi = std(i);
457  gi;
458  reduce(i,gi);
459       
460tst_status(1);$;     
461
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