Changeset a6d69d2 in git
- Timestamp:
- May 23, 2014, 2:52:29 PM (9 years ago)
- Branches:
- (u'spielwiese', '8e0ad00ce244dfd0756200662572aef8402f13d5')
- Children:
- 2ea660d4ec8b661cc57d8934746490a5a49ae1e3
- Parents:
- 093a11192762bd3c0db4017b7894f61818055c0d
- git-author:
- Martin Lee <martinlee84@web.de>2014-05-23 14:52:29+02:00
- git-committer:
- Martin Lee <martinlee84@web.de>2014-06-04 11:54:57+02:00
- Location:
- Tst/Short
- Files:
-
- 2 edited
Legend:
- Unmodified
- Added
- Removed
-
Tst/Short/charseries.tst
r093a11 ra6d69d2 59 59 kill r; 60 60 61 ring r=0,(a,b,c,d,e,f,g,h,j),dp; 62 ideal i= d*b-e*a, c*e-f*b, g*e-h*d, h*f-j*e; 63 char_series (i); 64 65 kill r; 66 61 67 // examples from J. Kroeker 62 68 ring r=0,(x,y,z),dp; -
Tst/Short/charseries_p.tst
r093a11 ra6d69d2 152 152 char_series (K); 153 153 154 154 kill r; 155 156 ring r=32003,(a,b,c,d,e,f,g,h),dp; 157 ideal i= -1*a-1*d+e+f+h, 158 -2*a^2+2*a*d+2*c*e+2*b*f-1*a-1, 159 3*a^3-3*a^2*d+3*c^2*e+3*b^2*f+3*a^2+4*a-1*d, 160 6*a^3-6*a^2*d+6*b*e*g+6*a^2-3*a*d+4*a-1*d, 161 -4*a^4+4*a^3*d+4*c^3*e+4*b^3*f-6*a^3-10*a^2+4*a*d-1*a-1, 162 -8*a^4+8*a^3*d+8*b*c*e*g-12*a^3+4*a^2*d-14*a^2+4*a*d-3*a-1, 163 -12*a^4+12*a^3*d+12*b^2*e*g-18*a^3+12*a^2*d-14*a^2+8*a*d-1*a-1, 164 24*a^4-24*a^3*d+36*a^3-24*a^2*d+26*a^2-8*a*d+7*a+1; 165 char_series (i); 166 167 kill r; 168 169 ring r=31991,(a,b,c,d),dp; 170 ideal i= a*b*c-b*c*d-c*d*a-d*a*b, a^3-b^3-a^3*b^3+c^3+d^3, a*b+b*c+c*d+d*a, 171 a^2, c*a*b+a*b+a+b; 172 char_series (i); 173 174 kill r; 175 176 ring r=31991,(x,y,z),dp; 177 ideal i= x^3-y^2, x^3-z^2, y^3-z^2; 178 char_series (i); 179 180 kill r; 181 182 ring r=31991,(a,b,c,d,e,f),dp; 183 ideal i=a*b*c+a*b+a*e,a-b*d*e,d*e*f+f,f-e,a-a*b; 184 char_series (i); 185 186 kill r; 187 188 ring r=31991,(x,y,z),dp; 189 ideal i=x^3-x^2+y^2, x-y^3, x*y*z+z^3; 190 char_series (i); 191 192 kill r; 193 194 ring r=31991,(x,y,z,t),dp; 195 ideal i= t^2+x*t^2-y*t-x*y*t+x*y+3*y, x*t+z-x*y, z*t-2*y^2-x*y-1; 196 char_series (i); 197 198 kill r; 199 200 ring r=31991,(d,c,b,a),dp; 201 ideal i= a*b*c-b*c*d-c*d*a-d*a*b, a^3-b^3-a^3*b^3+c^3+d^3, 202 a*b+b*c+c*d+d*a, a^2, c*a*b+a*b+a+b; 203 char_series (i); 204 205 kill r; 206 207 ring r=31991, (a,b,c,d,e,f,g,h,k,j), dp; 208 ideal I= -j+a^2*b^2*c^2*d^2*e+a^2*b^2*c^2*d^2*f+a^2*b^2*c^2*d*e^2+2*a^2*b^2*c^2*d*e*f+a^2*b^2*c^2*d*f^2+a^2*b^2*c^2*e^2*f+a^2*b^2*c^2*e*f^2+a^2*d*h-b^2*f*g*c^2*e*k*g-h-k, 209 2*a*d*h+2*a*b^2*c^2*e*f^2+2*a*b^2*c^2*d*f^2+2*a*b^2*c^2*e^2*f+4*a*b^2*c^2*d*e*f+2*a*b^2*c^2*d^2*f+2*a*b^2*c^2*d*e^2+2*a*b^2*c^2*d^2*e, 210 -2*b*c^2*e*f*g^2*k+2*a^2*b*c^2*e*f^2+2*a^2*b*c^2*d*f^2+2*a^2*b*c^2*e^2*f+4*a^2*b*c^2*d*e*f+2*a^2*b*c^2*d^2*f+2*a^2*b*c^2*d*e^2+2*a^2*b*c^2*d^2*e, 211 -2*b^2*c*e*f*g^2*k+2*a^2*b^2*c*e*f^2+2*a^2*b^2*c*d*f^2+2*a^2*b^2*c*e^2*f+4*a^2*b^2*c*d*e*f+2*a^2*b^2*c*d^2*f+2*a^2*b^2*c*d*e^2+2*a^2*b^2*c*d^2*e, 212 a^2*h+a^2*b^2*c^2*f^2+2*a^2*b^2*c^2*e*f+2*a^2*b^2*c^2*d*f+a^2*b^2*c^2*e^2+2*a^2*b^2*c^2*d*e, 213 -b^2*c^2*f*g^2*k+a^2*b^2*c^2*f^2+2*a^2*b^2*c^2*e*f+2*a^2*b^2*c^2*d*f+2*a^2*b^2*c^2*d*e+a^2*b^2*c^2*d^2, 214 -b^2*c^2*e*g^2*k+2*a^2*b^2*c^2*e*f+2*a^2*b^2*c^2*d*f+a^2*b^2*c^2*e^2+2*a^2*b^2*c^2*d*e+a^2*b^2*c^2*d^2, 215 -2*b^2*c^2*e*f*g*k, 216 a^2*d-1, 217 -b^2*c^2*e*f*g^2-1; 218 char_series (I); 219 220 kill r; 221 222 ring r= 31991, (a,b,c,d,e,f,g,h,i,j),dp; 223 ideal I= 224 -6*b*c^2*e*f*g^2+2*a^2*b*c^2*e*f^2+2*a^2*b*c^2*d*f^2+2*a^2*b*c^2*e^2*f+4*a^2*b*c^2*d*e*f+2*a^2*b*c^2*d^2*f+2*a^2*b*c^2*d*e^2+2*a^2*b*c^2*d^2*e, 225 -j-b^2*c^2*e*f*g^2-1+a^2*d*h-h+a^2*b^2*c^2*e*f^2+a^2*b^2*c^2*d*f^2+a^2*b^2*c^2*e^2*f+2*a^2*b^2*c^2*d*e*f+a^2*b^2*c^2*d^2*f+a^2*b^2*c^2*d*e^2+a^2*b^2*c^2*d^2*e, 226 -8*b^2*c*e*f*g^2+2*a^2*b^2*c*e*f^2+2*a^2*b^2*c*d*f^2+2*a^2*b^2*c*e^2*f+4*a^2*b^2*c*d*e*f+2*a^2*b^2*c*d^2*f+2*a^2*b^2*c*d*e^2+2*a^2*b^2*c*d^2*e, 227 -16*b^2*c^2*e*f*g, 228 -7*b^2*c^2*e*g^2+2*a^2*b^2*c^2*e*f+2*a^2*b^2*c^2*d*f+a^2*b^2*c^2*e^2+2*a^2*b^2*c^2*d*e+a^2*b^2*c^2*d^2, 229 -6*b^2*c^2*f*g^2+a^2*b^2*c^2*f^2+2*a^2*b^2*c^2*e*f+2*a^2*b^2*c^2*d*f+2*a^2*b^2*c^2*d*e+a^2*b^2*c^2*d^2, 230 a^2*d-1, 231 -b^2*c^2*e*f*g^2-1, 232 2*a*d*h+2*a*b^2*c^2*e*f^2+2*a*b^2*c^2*d*f^2+2*a*b^2*c^2*e^2*f+4*a*b^2*c^2*d*e*f+2*a*b^2*c^2*d^2*f+2*a*b^2*c^2*d*e^2+2*a*b^2*c^2*d^2*e, 233 a^2*h+a^2*b^2*c^2*f^2+2*a^2*b^2*c^2*e*f+2*a^2*b^2*c^2*d*f+a^2*b^2*c^2*e^2+2*a^2*b^2*c^2*d*e; 234 char_series (I); 235 236 kill r; 237 238 ring r=31991,(a,b,c,x,y,z),dp; 239 ideal I=a*(x+y+z)-(x-y-z), 240 b*(x+z)-(x+y-z), 241 c*(x-y+z)-(x+y); 242 char_series (I); 243 244 kill r; 245 246 ring rr=31991,(a,b,c,d,e,f,g,h,j,k,l,m,n,o,p,q,r),dp; 247 ideal I=d*k, 248 e*g+d*j+c*k+l, 249 b*h, 250 e*l, 251 b*f+b*g+a*h+d*h+b*k+h+o, 252 a*f+d*f+a*g+d*g+c*h+e*h+b*j+a*k+d*k+b*l+f+g+k+m+n+q, 253 c*f+e*f+c*g+e*g+a*j+d*j+c*k+e*k+a*l+d*l+j+l+p+r-1, 254 c*j+e*j+c*l+e*l, 255 e*j+c*l+2*e*l, 256 e*f+e*g+d*j+c*k+2*e*k+a*l+2*d*l+l+r, 257 d*f+d*g+e*h+a*k+2*d*k+b*l+k+q, 258 d*h+b*k, 259 e*k+d*l, 260 2*c*j+e*j+c*l, 261 c*f+2*c*g+e*g+a*j+d*j+c*k+2*j+l+p, 262 a*g+d*g+c*h+b*j+f+2*g+k+n, 263 b*g+h, 264 e*j+c*l, 265 d*g+k; 266 char_series (I); 267 268 kill rr; 269 270 ring rr=31991,(r,s,t,u,v,w,x,y,z),dp; 271 ideal i= 272 s*u+r*v, 273 t*u+r*w, 274 t*v+s*w, 275 s*x+r*y, 276 t*x+r*z, 277 t*y+s*z, 278 v*x+u*y, 279 w*x+u*z, 280 w*y+v*z; 281 char_series (i); 282 283 kill rr; 284 285 ring r=31991,(a,b,c,d,e,f),dp; 286 ideal i= 287 a*d*e*f+3/2*b*e^2*f-1/2*c*e*f^2, 288 a*d^2*f+5/4*b*d*e*f+1/4*c*d*f^2, 289 a*d^2*e+3/4*b*d*e^2+7/4*c*d*e*f, 290 a*c*d*e+3/2*b*c*e^2-1/2*c^2*e*f, 291 a*c*d^2+5/4*b*c*d*e+1/4*c^2*d*f, 292 a*b*d*f+3/2*b^2*e*f-1/2*b*c*f^2, 293 a*b*d*e+3/4*b^2*e^2-a*c*d*f+1/2*b*c*e*f-1/4*c^2*f^2, 294 a*b*d^2+3/4*b^2*d*e+7/4*b*c*d*f, 295 a*b*c*d+3/2*b^2*c*e-1/2*b*c^2*f, 296 a^2*d*f+5/4*a*b*e*f+1/4*a*c*f^2, 297 a^2*d*e+3/4*a*b*e^2+7/4*a*c*e*f, 298 a^2*d^2-9/16*b^2*e^2+2*a*c*d*f-9/8*b*c*e*f+7/16*c^2*f^2, 299 a^2*c*d+5/4*a*b*c*e+1/4*a*c^2*f, 300 a^2*b*d+3/4*a*b^2*e+7/4*a*b*c*f, 301 b*c^3*d+1/4*c*d^3*e, 302 b^2*c^2*e-1/3*b*c^3*f+2/3*c*d^2*e*f, 303 b^2*c^2*d-1/2*a*d^4-3/8*b*d^3*e-1/8*c*d^3*f, 304 b^3*c*e-1/3*b^2*c^2*f+2/3*b*d^2*e*f, 305 b^3*c*d+3/4*b*d^3*f, 306 a*c^3*e-1/3*c*d*e^3, 307 a*c^3*d-3/4*b*c^3*e-1/2*c*d^2*e^2+1/4*c^4*f, 308 a*b*c^2*f-c*d*e*f^2, 309 a*b*c^2*e-c*d*e^2*f, 310 a*b^2*c*f-b*d*e*f^2, 311 a*b^3*f-3*b*d*f^3, 312 a*b^3*d+3/4*b^4*e-1/4*b^3*c*f-3/2*b*d^2*f^2, 313 a^2*c^2*e-2/3*a*d*e^3-1/2*b*e^4+1/6*c*e^3*f, 314 a^2*b*c*f+3/2*b*e^2*f^2-1/2*c*e*f^3, 315 a^2*b*c*e+3/2*b*e^3*f-1/2*c*e^2*f^2, 316 a^2*b^2*f-2*a*d*f^3+3/2*b*e*f^3-1/2*c*f^4, 317 a^3*c*e+4/3*a*e^3*f, 318 a^3*b*f+4*a*e*f^3, 319 a^4*d+3/4*a^3*b*e+1/4*a^3*c*f-2*a*e^2*f^2; 320 char_series (i); 321 322 kill r; 323 324 ring r=31991,(x,y),dp; 325 ideal i= x^2, x*y; 326 char_series (i); 155 327 156 328 tst_status(1); $
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