1 | LIB "tst.lib"; |
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2 | tst_init(); |
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3 | LIB "gitfan.lib"; |
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4 | |
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5 | intmat Q[5][10] = |
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6 | 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, |
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7 | 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, |
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8 | 0, 1, 1, 0, 0, 0, -1, 1, 0, 0, |
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9 | 0, 1, 0, 1, 0, -1, 0, 0, 1, 0, |
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10 | 0, 0, 1, 1, -1, 0, 0, 0, 0, 1; |
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11 | cone mov = movingCone(Q); |
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12 | mov; |
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13 | rays(mov); |
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14 | |
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15 | |
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16 | intmat Q[3][4] = |
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17 | 1,0,1,0, |
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18 | 0,1,0,1, |
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19 | 0,0,1,1; |
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20 | GKZfan(Q); |
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21 | |
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22 | ring R = 0,T(1..10),wp(1,1,1,1,1,1,1,1,1,1); |
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23 | ideal J = |
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24 | T(5)*T(10)-T(6)*T(9)+T(7)*T(8), |
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25 | T(1)*T(9)-T(2)*T(7)+T(4)*T(5), |
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26 | T(1)*T(8)-T(2)*T(6)+T(3)*T(5), |
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27 | T(1)*T(10)-T(3)*T(7)+T(4)*T(6), |
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28 | T(2)*T(10)-T(3)*T(9)+T(4)*T(8); |
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29 | intmat Q[5][10] = |
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30 | 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, |
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31 | 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, |
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32 | 0, 1, 1, 0, 0, 0, -1, 1, 0, 0, |
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33 | 0, 1, 0, 1, 0, -1, 0, 0, 1, 0, |
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34 | 0, 0, 1, 1, -1, 0, 0, 0, 0, 1; |
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35 | list simplexSymmetryGroup = G25Action(); |
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36 | list simplexOrbitRepresentatives = intvec( 1, 2, 3, 4, 5 ), |
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37 | intvec( 1, 2, 3, 5, 6 ), |
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38 | intvec( 1, 2, 3, 5, 7 ), |
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39 | intvec( 1, 2, 3, 5, 10 ), |
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40 | intvec( 1, 2, 3, 7, 9 ), |
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41 | intvec( 1, 2, 6, 9, 10 ), |
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42 | intvec( 1, 2, 3, 4, 5, 6 ), |
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43 | intvec( 1, 2, 3, 4, 5, 10 ), |
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44 | intvec( 1, 2, 3, 5, 6, 8 ), |
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45 | intvec( 1, 2, 3, 5, 6, 9 ), |
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46 | intvec( 1, 2, 3, 5, 7, 10 ), |
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47 | intvec( 1, 2, 3, 7, 9, 10 ), |
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48 | intvec( 1, 2, 3, 4, 5, 6, 7 ), |
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49 | intvec( 1, 2, 3, 4, 5, 6, 8 ), |
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50 | intvec( 1, 2, 3, 4, 5, 6, 9 ), |
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51 | intvec( 1, 2, 3, 5, 6, 9, 10 ), |
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52 | intvec( 1, 2, 3, 4, 5, 6, 7, 8 ), |
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53 | intvec( 1, 2, 3, 4, 5, 6, 9, 10 ), |
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54 | intvec( 1, 2, 3, 4, 5, 6, 7, 8, 9 ), |
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55 | intvec( 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ); |
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56 | list afaceOrbitRepresentatives=afaces(J,simplexOrbitRepresentatives); |
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57 | list fulldimAfaceOrbitRepresentatives=fullDimImages(afaceOrbitRepresentatives,Q); |
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58 | list afaceOrbits=computeAfaceOrbits(fulldimAfaceOrbitRepresentatives,simplexSymmetryGroup); |
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59 | apply(afaceOrbits,size); |
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60 | list minAfaceOrbits = minimalAfaceOrbits(afaceOrbits); |
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61 | apply(minAfaceOrbits,size); |
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62 | list listOfOrbitConeOrbits = orbitConeOrbits(minAfaceOrbits,Q); |
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63 | apply(listOfOrbitConeOrbits,size); |
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64 | list listOfMinimalOrbitConeOrbits = minimalOrbitConeOrbits(listOfOrbitConeOrbits); |
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65 | size(listOfMinimalOrbitConeOrbits); |
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66 | list Asigma = groupActionOnQImage(simplexSymmetryGroup,Q); |
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67 | list actionOnOrbitconeIndices = groupActionOnHashes(Asigma,listOfOrbitConeOrbits); |
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68 | list OClist = listOfOrbitConeOrbits[1]; |
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69 | for (int i =2;i<=size(listOfOrbitConeOrbits);i++){ |
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70 | OClist = OClist + listOfOrbitConeOrbits[i]; |
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71 | } |
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72 | cone mov = coneViaPoints(transpose(Q)); |
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73 | mov = canonicalizeCone(mov); |
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74 | list Sigma = GITfanParallelSymmetric(OClist, Q, mov, actionOnOrbitconeIndices); |
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75 | Sigma; |
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76 | |
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77 | ring R = 0,T(1..10),wp(1,1,1,1,1,1,1,1,1,1); |
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78 | ideal J = |
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79 | T(5)*T(10)-T(6)*T(9)+T(7)*T(8), |
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80 | T(1)*T(9)-T(2)*T(7)+T(4)*T(5), |
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81 | T(1)*T(8)-T(2)*T(6)+T(3)*T(5), |
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82 | T(1)*T(10)-T(3)*T(7)+T(4)*T(6), |
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83 | T(2)*T(10)-T(3)*T(9)+T(4)*T(8); |
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84 | intmat Q[5][10] = |
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85 | 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, |
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86 | 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, |
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87 | 0, 1, 1, 0, 0, 0, -1, 1, 0, 0, |
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88 | 0, 1, 0, 1, 0, -1, 0, 0, 1, 0, |
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89 | 0, 0, 1, 1, -1, 0, 0, 0, 0, 1; |
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90 | list AF= afaces(J); |
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91 | list OC = orbitCones(AF,Q); |
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92 | list generatorsG = permutationFromIntvec(intvec( 1, 3, 2, 4, 6, 5, 7, 8, 10, 9 )), |
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93 | permutationFromIntvec(intvec( 5, 7, 1, 6, 9, 2, 8, 4, 10, 3 )); |
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94 | list Asigmagens = groupActionOnQImage(generatorsG,Q); |
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95 | list actionOnOrbitconeIndicesForGenerators = groupActionOnHashes(Asigmagens,OC); |
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96 | string elementInTermsOfGenerators = |
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97 | "(x2^-1*x1^-1)^3*x1^-1"; |
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98 | evaluateProduct(actionOnOrbitconeIndicesForGenerators, elementInTermsOfGenerators); |
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99 | |
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100 | tst_status(1);$ |
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