[2f01bc] | 1 | LIB "tst.lib"; |
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| 2 | tst_init(); |
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| 3 | option(prot); |
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| 4 | ring r; |
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| 5 | ideal i=xy+yz+xz,x3,y3,z3; |
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| 6 | list I=mres(i,0); |
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| 7 | I; |
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| 8 | kill r; |
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| 9 | ring an=32003,(w,x,y,z),(dp,C); |
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| 10 | ideal i= |
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| 11 | 1w2xy+1w2xz+1w2yz+1wxyz+1x2yz+1xy2z+1xyz2, |
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| 12 | 1w4x+1w4z+1w3yz+1w2xyz+1wx2yz+1x2y2z+1xy2z2, |
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| 13 | 1w6+1w5z+1w4xz+1w3xyz+1w2xy2z+1wx2y2z+1x2y2z2; |
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| 14 | list I=mres(i,0); |
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| 15 | I; |
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| 16 | kill an; |
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| 17 | ring an=32003,(w,x,y,z),(dp,c); |
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| 18 | ideal i= |
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| 19 | wx2+y3, |
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| 20 | xy2+z3, |
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| 21 | yz2+w3, |
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| 22 | zw2+x3, |
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| 23 | xyz+yzw+zwx+wxy; |
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| 24 | list I=mres(i,0); |
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| 25 | I; |
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| 26 | kill an; |
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| 27 | ring an=32003,(w,x,y,z),(dp,c); |
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| 28 | ideal i= |
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| 29 | wx+y2, |
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| 30 | xy+z2, |
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| 31 | yz+w2, |
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| 32 | zw+x2, |
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| 33 | xy+yz+zw+wx; |
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| 34 | list I=mres(i,0); |
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| 35 | I; |
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| 36 | kill an; |
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| 37 | ring an=32003,(x,y,z),(dp,c); |
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| 38 | ideal i= |
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| 39 | zx2+y3, |
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| 40 | xy2+z3, |
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| 41 | yz2+x3, |
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| 42 | x2y+y2z+z2x; |
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| 43 | list I=mres(i,0); |
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| 44 | I; |
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| 45 | kill an; |
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| 46 | ring cyc5 = 32003,(f,a,b,c,d,e),dp; |
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| 47 | ideal i= |
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| 48 | a+b+c+d+e, |
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| 49 | de+1cd+1bc+1ae+1ab, |
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| 50 | cde+1bcd+1ade+1abe+1abc, |
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| 51 | bcde+1acde+1abde+1abce+1abcd, |
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| 52 | abcde-f5; |
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| 53 | //std(i); |
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| 54 | list I=mres(i,0); |
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| 55 | I; |
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| 56 | kill cyc5; |
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| 57 | ring r=32003,(y,t,x,z,w),dp; |
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| 58 | ideal i=6*t^5*x^3*z^4+5*x^5*z^7+4*t^4*y*z^3*w^4, |
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| 59 | 5*t^3*x^2*y^7*z^4+5*t^6*x*y^3*z^3*w^3+4*t^5*x^5*y*w^5, |
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| 60 | 2*t^8*z^6+6*t^5*y*z^7*w+6*t^4*y^2*z^3*w^5; |
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| 61 | //i; |
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| 62 | //option(prot); |
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| 63 | //ideal j=std(i); |
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| 64 | //$ |
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| 65 | list I=mres(i,0); |
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| 66 | I; |
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| 67 | kill r; |
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| 68 | ring cyc5 =32003,(a,b,c,d,e,f),dp; |
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| 69 | ideal i= |
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| 70 | a5-b5, |
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| 71 | b5-c5, |
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| 72 | c5-d5, |
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| 73 | d5-e5, |
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| 74 | a4*b+b4*c+c4*d+d4*e+a*e4; |
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| 75 | list I=mres(i,0); |
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| 76 | I; |
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| 77 | kill cyc5; |
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| 78 | ring an=32003,(t,x,y,z,w),(dp,C); |
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| 79 | ideal i= |
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| 80 | 2t3x5y2z+t5x2yw3+2x2yw8, |
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| 81 | 3t6x2yz2+9t3y2zw5+2xy3z2w5, |
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| 82 | t3x5y2z2+tx2y3w6+2t5zw6; |
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| 83 | list I=mres(i,0); |
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| 84 | I; |
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| 85 | kill an; |
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| 86 | ring r=0,(x,y,z,t,w),dp; |
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| 87 | ideal i=6*t^5*x^3*z+5*x^5*z^4+4*t^4*y*w^4, |
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| 88 | 5*x*y^6*z^4+5*t^3*y^2*z^3*w^3+4*t^2*x^4*w^5, |
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| 89 | 2*t^4*z^3+6*t*y*z^4*w+6*y^2*w^5; |
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| 90 | list I=mres(i,0); |
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| 91 | I; |
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| 92 | kill r; |
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| 93 | ring r=32003,(x,y,z),(C,dp); |
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| 94 | ideal i=xy+yz+xz,x3,y3,z3; |
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| 95 | list I=mres(i,0); |
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| 96 | I; |
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| 97 | kill r; |
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| 98 | ring an=32003,(w,x,y,z),(C,dp); |
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| 99 | ideal i= |
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| 100 | 1w2xy+1w2xz+1w2yz+1wxyz+1x2yz+1xy2z+1xyz2, |
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| 101 | 1w4x+1w4z+1w3yz+1w2xyz+1wx2yz+1x2y2z+1xy2z2, |
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| 102 | 1w6+1w5z+1w4xz+1w3xyz+1w2xy2z+1wx2y2z+1x2y2z2; |
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| 103 | list I=mres(i,0); |
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| 104 | I; |
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| 105 | kill an; |
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| 106 | ring an=32003,(w,x,y,z),(C,dp); |
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| 107 | ideal i= |
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| 108 | wx2+y3, |
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| 109 | xy2+z3, |
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| 110 | yz2+w3, |
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| 111 | zw2+x3, |
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| 112 | xyz+yzw+zwx+wxy; |
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| 113 | list I=mres(i,0); |
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| 114 | I; |
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| 115 | kill an; |
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| 116 | ring an=32003,(w,x,y,z),(C,dp); |
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| 117 | ideal i= |
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| 118 | wx+y2, |
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| 119 | xy+z2, |
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| 120 | yz+w2, |
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| 121 | zw+x2, |
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| 122 | xy+yz+zw+wx; |
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| 123 | list I=mres(i,0); |
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| 124 | I; |
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| 125 | kill an; |
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| 126 | ring an=32003,(x,y,z),(C,dp); |
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| 127 | ideal i= |
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| 128 | zx2+y3, |
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| 129 | xy2+z3, |
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| 130 | yz2+x3, |
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| 131 | x2y+y2z+z2x; |
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| 132 | list I=mres(i,0); |
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| 133 | I; |
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| 134 | kill an; |
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| 135 | ring cyc5 = 32003,(f,a,b,c,d,e),(C,dp); |
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| 136 | ideal i= |
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| 137 | a+b+c+d+e, |
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| 138 | de+1cd+1bc+1ae+1ab, |
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| 139 | cde+1bcd+1ade+1abe+1abc, |
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| 140 | bcde+1acde+1abde+1abce+1abcd, |
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| 141 | abcde-f5; |
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| 142 | //std(i); |
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| 143 | list I=mres(i,0); |
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| 144 | I; |
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| 145 | kill cyc5; |
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| 146 | ring r=32003,(y,t,x,z,w),(C,dp); |
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| 147 | ideal i=6*t^5*x^3*z^4+5*x^5*z^7+4*t^4*y*z^3*w^4, |
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| 148 | 5*t^3*x^2*y^7*z^4+5*t^6*x*y^3*z^3*w^3+4*t^5*x^5*y*w^5, |
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| 149 | 2*t^8*z^6+6*t^5*y*z^7*w+6*t^4*y^2*z^3*w^5; |
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| 150 | //i; |
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| 151 | //option(prot); |
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| 152 | //ideal j=std(i); |
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| 153 | //$ |
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| 154 | list I=mres(i,0); |
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| 155 | I; |
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| 156 | kill r; |
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| 157 | ring cyc5 =32003,(a,b,c,d,e,f),(C,dp); |
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| 158 | ideal i= |
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| 159 | a5-b5, |
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| 160 | b5-c5, |
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| 161 | c5-d5, |
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| 162 | d5-e5, |
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| 163 | a4*b+b4*c+c4*d+d4*e+a*e4; |
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| 164 | list I=mres(i,0); |
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| 165 | I; |
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| 166 | kill cyc5; |
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| 167 | ring an=32003,(t,x,y,z,w),(C,dp); |
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| 168 | ideal i= |
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| 169 | 2t3x5y2z+t5x2yw3+2x2yw8, |
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| 170 | 3t6x2yz2+9t3y2zw5+2xy3z2w5, |
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| 171 | t3x5y2z2+tx2y3w6+2t5zw6; |
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| 172 | list I=mres(i,0); |
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| 173 | I; |
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| 174 | kill an; |
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| 175 | ring r=0,(x,y,z,t,w),(C,dp); |
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| 176 | ideal i=6*t^5*x^3*z+5*x^5*z^4+4*t^4*y*w^4, |
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| 177 | 5*x*y^6*z^4+5*t^3*y^2*z^3*w^3+4*t^2*x^4*w^5, |
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| 178 | 2*t^4*z^3+6*t*y*z^4*w+6*y^2*w^5; |
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| 179 | list I=mres(i,0); |
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| 180 | I; |
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| 181 | kill r; |
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| 182 | LIB "tst.lib";tst_status(1);$; |
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