[7fe9f8b] | 1 | LIB "tst.lib"; tst_init(); tst_ignore("// ** loaded "); tst_ignore("// ** _ is no standard basis"); |
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| 2 | LIB "derham.lib"; |
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| 3 | |
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| 4 | //---------------------------------------- |
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| 5 | //EXAMPLE 1 |
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| 6 | //---------------------------------------- |
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| 7 | ring r=0,(x,y),dp; |
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| 8 | poly f=y2-x3-2x+3; |
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| 9 | list L=deRhamCohomology(f); |
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| 10 | L; |
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| 11 | kill r, L; |
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| 12 | |
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| 13 | //---------------------------------------- |
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| 14 | //EXAMPLE 2 |
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| 15 | //---------------------------------------- |
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| 16 | ring r=0,(x,y),dp; |
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| 17 | poly f=y2-x3-x; |
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| 18 | list L=deRhamCohomology(f); |
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| 19 | L; |
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| 20 | kill r, L; |
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| 21 | |
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| 22 | //---------------------------------------- |
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| 23 | //EXAMPLE 3 |
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| 24 | //---------------------------------------- |
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| 25 | ring r=0,(x,y),dp; |
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| 26 | list C=list(x2-1,(x+1)*y,y*(y2+2x+1)); |
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| 27 | list L=deRhamCohomology(C); |
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| 28 | L; |
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| 29 | kill r, L; |
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| 30 | |
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| 31 | //---------------------------------------- |
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| 32 | //EXAMPLE 4 |
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| 33 | //---------------------------------------- |
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| 34 | ring r=0,(x,y,z),dp; |
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| 35 | list C=list(x*(x-1),y,z*(z-1),z*(x-1)); |
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| 36 | list L=deRhamCohomology(C); |
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| 37 | L; |
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| 38 | kill r, L; |
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| 39 | |
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| 40 | //---------------------------------------- |
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| 41 | //EXAMPLE 5 |
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| 42 | //---------------------------------------- |
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| 43 | ring r=0,(x,y,z),dp; |
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| 44 | list C=list(x*y,y*z); |
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| 45 | list L=deRhamCohomology(C,"Vdres"); |
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| 46 | L; |
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| 47 | kill r, L; |
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| 48 | |
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| 49 | //---------------------------------------- |
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| 50 | //EXAMPLE 6 |
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| 51 | //---------------------------------------- |
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| 52 | ring r=0,(x,y,z,u),dp; |
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| 53 | list C=list(x,y,z,u); |
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| 54 | list L=deRhamCohomology(C); |
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| 55 | L; |
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| 56 | kill r, L; |
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| 57 | |
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| 58 | //---------------------------------------- |
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| 59 | //EXAMPLE 7 |
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| 60 | //---------------------------------------- |
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| 61 | ring r=0,(x,y,z),dp; |
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| 62 | poly f=x3+y3+z3; |
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| 63 | list L=deRhamCohomology(f); |
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| 64 | L; |
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| 65 | kill r, L; |
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| 66 | |
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| 67 | //---------------------------------------- |
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| 68 | //EXAMPLE 8 |
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| 69 | //---------------------------------------- |
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| 70 | ring r=0,(x,y,z),dp; |
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| 71 | poly f=x2+y2+z2; |
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| 72 | list L=deRhamCohomology(f,"Vdres"); |
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| 73 | L; |
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| 74 | kill r, L; |
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| 75 | |
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| 76 | //---------------------------------------- |
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| 77 | //EXAMPLE 9 |
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| 78 | //---------------------------------------- |
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| 79 | ring r=0,(x,y,z,u),dp; |
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| 80 | list C=list(x2+y2+z2,u); |
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| 81 | list L=deRhamCohomology(C); |
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| 82 | L; |
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| 83 | kill r, L; |
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| 84 | |
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| 85 | |
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| 86 | //---------------------------------------- |
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| 87 | //EXAMPLE 10 |
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| 88 | //---------------------------------------- |
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| 89 | ring r=0,(x,y,z),dp; |
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| 90 | list C=list((x*(y-1),y2-1)); |
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| 91 | list L=deRhamCohomology(C); |
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| 92 | L; |
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| 93 | kill r, L; |
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| 94 | |
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| 95 | tst_status(1);$ |
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