| 1 | LIB "tst.lib"; |
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| 2 | tst_init(); |
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| 3 | |
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| 4 | LIB"normal.lib"; |
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| 5 | |
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| 6 | ring r=31991,(a,b,c,d,e),dp; |
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| 7 | ideal i= |
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| 8 | 5abcde-a5-b5-c5-d5-e5, |
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| 9 | ab3c+bc3d+a3be+cd3e+ade3, |
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| 10 | a2bc2+b2cd2+a2d2e+ab2e2+c2de2, |
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| 11 | abc5-b4c2d-2a2b2cde+ac3d2e-a4de2+bcd2e3+abe5, |
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| 12 | ab2c4-b5cd-a2b3de+2abc2d2e+ad4e2-a2bce3-cde5, |
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| 13 | a3b2cd-bc2d4+ab2c3e-b5de-d6e+3abcd2e2-a2be4-de6, |
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| 14 | a4b2c-abc2d3-ab5e-b3c2de-ad5e+2a2bcde2+cd2e4, |
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| 15 | b6c+bc6+a2b4e-3ab2c2de+c4d2e-a3cde2-abd3e2+bce5; |
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| 16 | |
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| 17 | list pr=normal(i); |
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| 18 | pr; |
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| 19 | def r1=pr[1][1]; |
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| 20 | setring r1; |
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| 21 | norid; normap; |
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| 22 | kill r,r1; |
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| 23 | |
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| 24 | ring r=32003,(x,y,z),wp(2,3,6); |
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| 25 | ideal i=zy2-zx3-x6; |
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| 26 | list pr=normalC(i); |
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| 27 | pr; |
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| 28 | def r1=pr[1][1]; |
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| 29 | setring r1; |
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| 30 | norid; normap; |
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| 31 | kill r,r1; |
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| 32 | |
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| 33 | ring r=32003,(x,y,z),dp; |
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| 34 | ideal i=(x-y)*(x-z)*(y-z); |
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| 35 | |
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| 36 | list pr=normalC(i); |
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| 37 | pr; |
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| 38 | def r1=pr[1][1]; |
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| 39 | def r2=pr[1][2]; |
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| 40 | setring r1; |
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| 41 | norid; normap; |
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| 42 | kill r,r1; |
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| 43 | |
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| 44 | ring r=32003,(b,s,t,u,v,w,x,y,z),dp; |
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| 45 | |
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| 46 | ideal k= |
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| 47 | wy-vz, |
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| 48 | vx-uy, |
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| 49 | tv-sw, |
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| 50 | su-bv, |
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| 51 | tuy-bvz; |
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| 52 | ideal j=x2y2+x2z2+y2z2; |
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| 53 | ideal i=mstd(intersect(j,k))[2]; |
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| 54 | list pr=normalC(i); |
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| 55 | pr; |
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| 56 | def r1=pr[1][1]; |
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| 57 | def r4=pr[1][4]; |
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| 58 | setring r1; |
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| 59 | norid; normap; |
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| 60 | setring r4; |
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| 61 | norid; normap; |
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| 62 | |
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| 63 | kill r,r1; |
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| 64 | |
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| 65 | |
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| 66 | example deltaLoc; |
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| 67 | example genus; |
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| 68 | |
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| 69 | tst_status(1);$ |
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| 70 | |
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| 71 | |
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| 72 | // This is the example Theo 3 which is still broken due to the broken |
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| 73 | // minor command |
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| 74 | ring r=32003,(x,y,z),wp(3,5,15); |
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| 75 | ideal i=z*(y3-x5)+x10; |
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| 76 | list pr=normalC(i); |
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| 77 | pr; |
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| 78 | def r1=pr[1][1]; |
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| 79 | setring r1; |
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| 80 | norid; normap; |
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| 81 | kill r, r1; |
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