[b35b93] | 1 | option(prot); |
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| 2 | ring cy=0,(a,b,c,d,e),dp; |
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| 3 | int n=5; |
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| 4 | |
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| 5 | ideal i= |
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| 6 | a^n+b,b^n+c,c^n+d,d^n+e,a+b+c+e; |
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| 7 | i=std(i); |
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| 8 | qring q=i; |
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| 9 | poly p2=de+ab; |
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| 10 | poly p3=cde+abc; |
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| 11 | poly p4=bcde+abde+abce+abcd; |
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| 12 | poly p5=a+b+c+d; |
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| 13 | |
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| 14 | module m1= |
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| 15 | p2*gen(2), |
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| 16 | p2*gen(1)+p3*gen(2), |
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| 17 | p3*gen(1)+p4*gen(2), |
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| 18 | p4*gen(1)+p5*gen(2), |
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| 19 | p5*gen(1); |
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| 20 | option(redSB); |
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| 21 | option(); |
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| 22 | module j=std(m1); |
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| 23 | option(noredSB); |
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| 24 | option(noredTail); |
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| 25 | option(); |
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| 26 | module k=std(m1); |
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| 27 | j; |
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| 28 | k; |
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| 29 | int h=size(j); |
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| 30 | h; |
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| 31 | size(k); |
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| 32 | int s; |
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| 33 | for(s=1;s<=h;s=s+1) |
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| 34 | { |
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| 35 | NF(k[s],j); |
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| 36 | } |
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| 37 | for(s=1;s<=h;s=s+1) |
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| 38 | { |
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| 39 | NF(j[s],k); |
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| 40 | } |
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| 41 | kill cy,h,s,n; |
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| 42 | |
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| 43 | ring s1=(0,a),(x,y,z,w),dp; |
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| 44 | ideal i0=(a2-1)*x2-z10-z20,(a+1)*xy3-z10-z30,y6-(a+1)*xy3w40; |
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| 45 | option(); |
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| 46 | ideal i = std(i0); |
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| 47 | option(redTail); |
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| 48 | option(); |
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| 49 | ideal i1 = std(i0); |
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| 50 | i; |
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| 51 | i1; |
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| 52 | int h=size(i); |
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| 53 | h; |
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| 54 | size(i1); |
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| 55 | int s; |
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| 56 | for(s=1;s<=h;s=s+1) |
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| 57 | { |
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| 58 | NF(i1[s],i); |
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| 59 | } |
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| 60 | for(s=1;s<=h;s=s+1) |
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| 61 | { |
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| 62 | NF(i[s],i1); |
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| 63 | } |
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| 64 | kill s1,h,s; |
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| 65 | |
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| 66 | |
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| 67 | ring s2=(0,a),(x,y,z,w),dp; |
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| 68 | minpoly=8a4+1; |
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| 69 | ideal j0=(a2-1)*x2-z10-z20,(a+1)*xy3-z10-z30,y6-(a+1)*xy3w40; |
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| 70 | option(noredTail); |
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| 71 | option(); |
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| 72 | ideal i = std(j0); |
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| 73 | option(redTail); |
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| 74 | option(); |
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| 75 | ideal i1 = std(j0); |
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| 76 | i; |
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| 77 | i1; |
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| 78 | int h=size(i); |
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| 79 | h; |
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| 80 | size(i1); |
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| 81 | int s; |
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| 82 | for(s=1;s<=h;s=s+1) |
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| 83 | { |
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| 84 | NF(i1[s],i); |
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| 85 | } |
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| 86 | for(s=1;s<=h;s=s+1) |
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| 87 | { |
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| 88 | NF(i[s],i1); |
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| 89 | } |
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| 90 | kill s2,h,s; |
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| 91 | |
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| 92 | |
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| 93 | ring s3=(32003,a),(x,y,z,w),dp; |
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| 94 | ideal k0=(a2-1)*x2-z10-z20,(a+1)*xy3-z10-z30,y6-(a+1)*xy3w40; |
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| 95 | option(noredTail); |
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| 96 | option(); |
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| 97 | ideal i = std(k0); |
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| 98 | option(redTail); |
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| 99 | option(); |
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| 100 | ideal i1 = std(k0); |
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| 101 | i; |
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| 102 | i1; |
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| 103 | int h=size(i); |
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| 104 | h; |
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| 105 | size(i1); |
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| 106 | int s; |
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| 107 | for(s=1;s<=h;s=s+1) |
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| 108 | { |
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| 109 | NF(i1[s],i); |
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| 110 | } |
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| 111 | for(s=1;s<=h;s=s+1) |
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| 112 | { |
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| 113 | NF(i[s],i1); |
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| 114 | } |
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| 115 | kill s3,h,s; |
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| 116 | |
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| 117 | |
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| 118 | ring s4=(32003,a),(x,y,z,w),dp; |
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| 119 | minpoly=8a4+1; |
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| 120 | ideal l0=(a2-1)*x2-z10-z20,(a+1)*xy3-z10-z30,y6-(a+1)*xy3w40; |
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| 121 | option(noredTail); |
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| 122 | option(); |
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| 123 | ideal i = std(l0); |
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| 124 | option(redTail); |
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| 125 | option(); |
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| 126 | ideal i1 = std(l0); |
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| 127 | i; |
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| 128 | i1; |
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| 129 | int h=size(i); |
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| 130 | h; |
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| 131 | size(i1); |
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| 132 | int s; |
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| 133 | for(s=1;s<=h;s=s+1) |
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| 134 | { |
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| 135 | NF(i1[s],i); |
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| 136 | } |
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| 137 | for(s=1;s<=h;s=s+1) |
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| 138 | { |
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| 139 | NF(i[s],i1); |
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| 140 | } |
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| 141 | kill s4,h,s; |
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| 142 | |
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| 143 | int m,n; |
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| 144 | ring r1 = 0,(z,y,x),ds; |
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| 145 | poly s1=2x5y+7x2y4+3x2yz3; |
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| 146 | poly s2=1x2y2z2+3z8; |
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| 147 | poly s3=4xy5+2x2y2z3+11x10; |
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| 148 | ideal i=s1,s2,s3; |
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| 149 | option(noredTail); |
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| 150 | option(); |
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| 151 | ideal j=std(i); |
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| 152 | hilb(j,1); |
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| 153 | option(redSB); |
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| 154 | option(); |
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| 155 | ideal j1=std(i); |
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| 156 | hilb(j1,1); |
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| 157 | option(redTail); |
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| 158 | ideal j2=std(i); |
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| 159 | hilb(j2,1); |
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| 160 | |
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| 161 | n=size(j); |
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| 162 | number x1,x2; |
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| 163 | for(m=1;m<=n;m=m+1) |
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| 164 | { |
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| 165 | x1=leadcoef(j1[m]); |
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| 166 | x2=leadcoef(j2[m]); |
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| 167 | if(x1 != x2) |
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| 168 | { |
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| 169 | "?????"; |
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| 170 | j2[m]=x1*j2[m]; |
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| 171 | j1[m]=x2*j1[m]; |
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| 172 | } |
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| 173 | j1[m]-j2[m]; |
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| 174 | NF(j[m],j1); |
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| 175 | NF(j1[m],j); |
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| 176 | } |
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| 177 | j2; |
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| 178 | option(noredSB); |
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| 179 | option(noredTail); |
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| 180 | kill r1; |
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| 181 | |
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| 182 | ring r4 =0,(a,b,c,d,e),ds; |
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| 183 | n=6; |
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| 184 | poly s1=a+b+c+d+ea; |
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| 185 | poly s2=de+1cd+1bc+1ae+1ab; |
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| 186 | poly s3=cde+1bcd+1ade+1abe+1abc; |
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| 187 | poly s4=bcde+1acde+1abde+1abce+1abcd; |
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| 188 | poly s5=abcde; |
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| 189 | ideal i=s1,s2,s3,s4,s5,b^n,c^n,d^n,e^n; |
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| 190 | ideal j=std(i); |
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| 191 | option(redTail); |
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| 192 | ideal j1=std(i); |
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| 193 | option(redSB); |
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| 194 | ideal j2=std(i); |
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| 195 | |
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| 196 | n=size(j); |
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| 197 | number x1,x2; |
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| 198 | for(m=1;m<=n;m=m+1) |
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| 199 | { |
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| 200 | x1=leadcoef(j1[m]); |
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| 201 | x2=leadcoef(j2[m]); |
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| 202 | x1*lead(j2[m])-x2*lead(j1[m]); |
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| 203 | x2=leadcoef(j[m]); |
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| 204 | x1*lead(j[m])-x2*lead(j1[m]); |
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| 205 | NF(j[m],j2); |
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| 206 | NF(j2[m],j); |
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| 207 | } |
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| 208 | j2; |
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| 209 | |
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| 210 | kill r4; |
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| 211 | |
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| 212 | option(noredTail); |
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| 213 | ring r= |
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| 214 | 0,(x,y,z),ls; |
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| 215 | poly f=x5+y11+xy9+x3y9+z6-z2x2y2; |
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| 216 | ideal i=jacob(f); |
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| 217 | ideal j=std(i); |
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| 218 | option(redTail); |
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| 219 | ideal j1=std(i); |
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| 220 | n=size(j); |
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| 221 | number x1,x2; |
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| 222 | for(m=1;m<=n;m=m+1) |
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| 223 | { |
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| 224 | x1=leadcoef(j1[m]); |
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| 225 | x2=leadcoef(j[m]); |
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| 226 | x1*lead(j[m])-x2*lead(j1[m]); |
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| 227 | } |
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| 228 | option(noredSB); |
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| 229 | |
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| 230 | ring r1 = 0,(z,y,x),dp; |
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| 231 | ideal i = x2y2-z4,y2z2-x4; |
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| 232 | i=std(i); |
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| 233 | qring s=i; |
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| 234 | poly s1=2x5y+7x2y3; |
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| 235 | poly s2=1x2y2+3z7; |
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| 236 | poly s3=4xy5+2x2yz3; |
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| 237 | poly s4=x6+y6+z6; |
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| 238 | module m0= |
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| 239 | s1*gen(1)+s4*gen(2),s2*gen(2)+s3*gen(3), |
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| 240 | s2*gen(1)+s1*gen(2),s3*gen(2)-s4*gen(3); |
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| 241 | option(noredTail); |
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| 242 | module m1=std(m0); |
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| 243 | option(redSB); |
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| 244 | option(redTail); |
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| 245 | module m2=std(m0); |
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| 246 | m1; |
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| 247 | m2; |
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| 248 | int cc; |
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| 249 | for(cc=1;cc<31;cc=cc+1) |
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| 250 | { |
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| 251 | NF(m1[cc],m2); |
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| 252 | NF(m2[cc],m1); |
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| 253 | } |
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| 254 | |
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[46976a6] | 255 | LIB "tst.lib";tst_status(1);$ |
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