[5c0183] | 1 | /* |
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| 2 | input ideal: |
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| 3 | |
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| 4 | i[1]=xz2-y2t |
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| 5 | i[2]=x2y-z2t |
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| 6 | i[3]=yz3-x2t2 |
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| 7 | |
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| 8 | current ring: |
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| 9 | |
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| 10 | // characteristic : 0 |
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| 11 | // number of vars : 4 |
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| 12 | // block 1 : ordering IS(0) |
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| 13 | // block 2 : ordering dp |
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| 14 | // : names x y z t |
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| 15 | // block 3 : ordering C |
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| 16 | // block 4 : ordering IS(1) |
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| 17 | |
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| 18 | |
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| 19 | trivial syzygies: |
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| 20 | |
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| 21 | 1. SYZ x2y*gen(1)+xz2*gen(2)-y2t*gen(2)-z2t*gen(1) |
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| 22 | 2. SYZ yz3*gen(1)-x2t2*gen(1)+xz2*gen(3)-y2t*gen(3) |
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| 23 | 3. SYZ yz3*gen(2)-x2t2*gen(2)+x2y*gen(3)-z2t*gen(3) |
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| 24 | */ |
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| 25 | echo = 2; |
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| 26 | |
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| 27 | "ndebug?: ", system("with", "ndebug"); |
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| 28 | "om_ndebug?: ", system("with", "om_ndebug"); |
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| 29 | |
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| 30 | if( system("with", "ndebug") ) |
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| 31 | { |
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| 32 | "Loading the Release version!"; |
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[1114d2] | 33 | LIB("syzextra.so"); |
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[5c0183] | 34 | } |
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| 35 | else |
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| 36 | { |
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| 37 | "Loading the Debug version!"; |
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[b5d6f0] | 38 | LIB("syzextra.so"); |
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[5c0183] | 39 | } |
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| 40 | |
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| 41 | noop(); |
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| 42 | |
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| 43 | ring r = 0,(x, y, z, t), (dp, C); |
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| 44 | |
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| 45 | |
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| 46 | DetailedPrint(r); |
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| 47 | |
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| 48 | vector p = 3*(x +y +z) * gen(5); |
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| 49 | |
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| 50 | DetailedPrint(p, 3); |
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| 51 | |
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| 52 | // vector v =3 *xyz * [0, 0, 1, x, y, z];v;DetailedPrint(v, 2); |
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| 53 | |
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| 54 | leadmonom(p); |
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| 55 | leadcomp(p); |
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| 56 | leadrawexp(p); |
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| 57 | |
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| 58 | |
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| 59 | ideal i; |
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| 60 | |
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| 61 | i[1]=xz2-y2t; |
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| 62 | i[2]=x2y-z2t; |
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| 63 | i[3]=yz3-x2t2; |
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| 64 | |
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| 65 | DetailedPrint(i, 2); |
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| 66 | |
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| 67 | // std(i); |
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| 68 | |
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| 69 | |
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| 70 | def S = MakeInducedSchreyerOrdering(1); setring S; |
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| 71 | |
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| 72 | DetailedPrint(basering); |
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| 73 | |
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| 74 | module i; |
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| 75 | |
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| 76 | i[1]=xz2-y2t; |
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| 77 | i[2]=x2y-z2t; |
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| 78 | i[3]=yz3-x2t2; |
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| 79 | |
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| 80 | DetailedPrint(i, 2); |
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| 81 | |
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| 82 | |
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| 83 | // def l = res(i, 0); DetailedPrint(l); |
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| 84 | |
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| 85 | def L = lead(i); |
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| 86 | L; |
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| 87 | |
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| 88 | homog(L); |
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| 89 | attrib(L, "isHomog"); |
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| 90 | |
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| 91 | DetailedPrint(L[1] + L[2] + L[3]); |
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| 92 | |
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| 93 | SetInducedReferrence(L); |
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| 94 | |
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| 95 | DetailedPrint(basering); |
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| 96 | |
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| 97 | |
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| 98 | print( GetInducedData() ); |
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| 99 | |
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| 100 | "a??"; |
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| 101 | vector a = [-1,-2,-3,-4]; |
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| 102 | "a: "; |
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| 103 | DetailedPrint(a, 4); |
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| 104 | |
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| 105 | vector v = yz3*gen(2)-x2t2*gen(2)+xz2*gen(4)-y2t*gen(4); |
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| 106 | v; |
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| 107 | |
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| 108 | DetailedPrint(v, 4); |
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| 109 | |
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| 110 | |
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| 111 | DetailedPrint(yz3 * L[1]); |
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| 112 | |
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| 113 | DetailedPrint(x2t2 * L[1]); |
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| 114 | |
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| 115 | DetailedPrint(xz2 * L[3]); |
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| 116 | |
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| 117 | DetailedPrint(y2t * L[3]); |
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| 118 | |
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| 119 | DetailedPrint(yz3 * L[1] + 2* x2t2 * L[1] + 3 * xz2 * L[3] + 4*y2t * L[3], 4); |
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| 120 | |
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| 121 | |
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| 122 | |
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| 123 | x2y*gen(2)+xz2*gen(3)-y2t*gen(3)-z2t*gen(2); |
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| 124 | DetailedPrint(_); |
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| 125 | // xz2*gen(3)+x2y*gen(2)-y2t*gen(3)-z2t*gen(2); |
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| 126 | |
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| 127 | |
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| 128 | yz3*gen(2)-x2t2*gen(2)+xz2*gen(4)-y2t*gen(4); |
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| 129 | DetailedPrint(_); |
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| 130 | // xz2*gen(4)+yz3*gen(2)-y2t*gen(4)-x2t2*gen(2) |
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| 131 | |
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| 132 | |
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| 133 | yz3*gen(3)-x2t2*gen(3)+x2y*gen(4)-z2t*gen(4); |
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| 134 | DetailedPrint(_); |
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| 135 | // x2y*gen(4)+yz3*gen(3)-z2t*gen(4)-x2t2*gen(3) |
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| 136 | |
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[643877c] | 137 | exit; |
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| 138 | |
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[5c0183] | 139 | |
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