1 | LIB "tst.lib"; |
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2 | tst_init(); |
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3 | |
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4 | LIB"zeta.lib"; |
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5 | "============== A1"; |
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6 | ring R=0,(x,y,z),dp; |
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7 | ideal I=x2+yz; // A_1 |
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8 | list L=resolve(I,"A"); |
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9 | zetaDL(L,1,"local"); |
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10 | zetaDL(L,2); |
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11 | kill L;kill R; |
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12 | |
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13 | "============== A2"; |
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14 | ring R=0,(x,y,z),dp; |
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15 | ideal I=x2-y2+z3; // A_2 |
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16 | list L=resolve(I,"A"); |
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17 | zetaDL(L,1,"local"); |
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18 | kill L;kill R; |
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19 | |
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20 | "============== A3"; |
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21 | ring R=0,(x,y,z),dp; |
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22 | ideal I=x2-y2+z4; // A_3 |
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23 | list L=resolve(I,"A"); |
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24 | zetaDL(L,1,"local"); |
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25 | kill L;kill R; |
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26 | |
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27 | "============== E6"; |
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28 | ring R=0,(x,y,z),dp; |
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29 | ideal I=x3+y4-z2; // E_6 |
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30 | list L=resolve(I,"A"); |
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31 | zetaDL(L,1,"local"); |
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32 | kill L;kill R; |
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33 | |
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34 | "============== E7"; |
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35 | //ring R=0,(x,y,z),dp; |
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36 | //ideal I=x3+xy3-z2; // E_7 long |
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37 | //list L=resolve(I,"A"); |
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38 | //zetaDL(L,1,"local"); |
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39 | //kill L;kill R; |
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40 | |
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41 | "============== E8"; |
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42 | //ring R=0,(x,y,z),dp; |
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43 | //ideal I=x3+y5-z2; // E_8 long |
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44 | //list L=resolve(I,"A"); |
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45 | //zetaDL(L,1,"local"); |
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46 | //kill L;kill R; |
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47 | |
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48 | "============== P8"; |
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49 | ring R=0,(x,y,z),dp; |
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50 | ideal I=x3+y3-z3; // P_8 |
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51 | list L=resolve(I,"A"); |
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52 | zetaDL(L,1,"local"); |
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53 | kill L;kill R; |
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54 | |
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55 | "============== X9"; |
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56 | ring R=0,(x,y,z),dp; |
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57 | ideal I=x4-y4+z2; // X_9 |
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58 | list L=resolve(I,"A"); |
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59 | zetaDL(L,1,"local"); |
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60 | kill L;kill R; |
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61 | |
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62 | "============== J10"; |
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63 | ring R=0,(x,y,z),dp; |
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64 | ideal I=x3+y6-z2; // J_10 |
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65 | list L=resolve(I,"A"); |
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66 | zetaDL(L,1,"local"); |
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67 | kill L;kill R; |
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68 | |
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69 | "============== D4"; |
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70 | ring R=0,(x,y,z),dp; |
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71 | ideal I=x2y-y3+z2; // D_4 |
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72 | list L=resolve(I,"A"); |
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73 | zetaDL(L,1,"local"); |
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74 | kill L;kill R; |
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75 | |
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76 | "============== D5"; |
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77 | ring R=0,(x,y,z),dp; |
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78 | ideal I=x2y-y4+z2; // D_5 |
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79 | list L=resolve(I,"A"); |
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80 | zetaDL(L,1,"local"); |
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81 | kill L;kill R; |
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82 | |
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83 | "============== D6"; |
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84 | ring R=0,(x,y,z),dp; |
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85 | ideal I=x2y-y5+z2; // D_6 |
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86 | list L=resolve(I,"A"); |
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87 | zetaDL(L,1,"local"); |
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88 | kill L;kill R; |
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89 | |
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90 | "============== D7"; |
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91 | ring R=0,(x,y,z),dp; |
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92 | ideal I=x2y-y6+z2; // D_7 |
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93 | list L=resolve(I,"A"); |
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94 | zetaDL(L,1,"local"); |
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95 | kill L;kill R; |
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96 | |
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97 | "============== T444"; |
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98 | ring R=0,(x,y,z),dp; |
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99 | ideal I=x4-y4+z4+xyz; // T_4,4,4 |
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100 | list L=resolve(I,"A"); |
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101 | zetaDL(L,1,"local"); |
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102 | kill L;kill R; |
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103 | |
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104 | "============== T343"; |
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105 | ring R=0,(x,y,z),dp; |
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106 | ideal I=x2y+y4+z3; |
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107 | list L=resolve(I,"A"); |
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108 | zetaDL(L,1,"local"); |
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109 | kill L;kill R; |
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110 | |
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111 | "============== T443"; |
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112 | //ring R=0,(x,y,z),dp; //hier gab es Probleme mit gcd |
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113 | //ideal I=x4-y4+z3; |
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114 | //list L=resolve(I,"A"); |
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115 | //zetaDL(L,1,"local"); |
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116 | //kill L;kill R; |
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117 | |
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118 | "============== W12"; |
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119 | ring R=0,(x,y,z),dp; |
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120 | ideal I=x2y3+y5+x4+z2; //W12 |
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121 | list L=resolve(I,"A"); |
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122 | zetaDL(L,1,"local"); |
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123 | kill L;kill R; |
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124 | |
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125 | "============== T345"; |
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126 | ring R=0,(x,y,z),dp; |
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127 | ideal I=x3+y4+z5+xyz; // T3,4,5 |
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128 | list L=resolve(I,"A"); |
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129 | zetaDL(L,1,"local"); |
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130 | kill L;kill R; |
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131 | |
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132 | "============== U12"; |
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133 | ring R=0,(x,y,z),dp; |
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134 | ideal I=xyz2+z4+x3+y3; // U12 |
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135 | list L=resolve(I,"A"); |
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136 | zetaDL(L,1,"local"); |
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137 | kill L;kill R; |
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138 | |
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139 | "============== U1,0"; |
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140 | ring R=0,(x,y,z),dp; |
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141 | ideal I=xy3+y3z+x3+xz2; // U1,0 |
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142 | list L=resolve(I,"A"); |
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143 | zetaDL(L,1,"local"); |
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144 | kill L;kill R; |
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145 | |
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146 | "============== W13"; |
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147 | ring R=0,(x,y,z),dp; |
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148 | ideal I=y6+xy4+x4+z2; // W13 |
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149 | list L=resolve(I,"A"); |
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150 | zetaDL(L,1,"local"); |
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151 | kill L;kill R; |
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152 | |
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153 | "============== Z12"; |
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154 | ring R=0,(x,y,z),dp; |
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155 | ideal I=x2y3+xy4+x3y+z2; // Z12 |
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156 | list L=resolve(I,"A"); |
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157 | zetaDL(L,1,"local"); |
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158 | kill L;kill R; |
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159 | |
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160 | "============== Z13"; |
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161 | ring R=0,(x,y,z),dp; |
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162 | ideal I=xy5+y6+x3y+z2; // Z13 |
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163 | list L=resolve(I,"A"); |
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164 | zetaDL(L,1,"local"); |
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165 | kill L;kill R; |
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166 | |
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167 | "============== Z11"; |
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168 | ring R=0,(x,y,z),dp; |
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169 | ideal I=xy4+y5+x3y+z2; // Z11 |
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170 | list L=resolve(I,"A"); |
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171 | zetaDL(L,1,"local"); |
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172 | kill L;kill R; |
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173 | |
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174 | "============== xyz"; |
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175 | ring R=0,(x,y,z),dp; |
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176 | ideal I=xyz; |
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177 | list L=resolve(I,"A"); |
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178 | zetaDL(L,1,"local"); |
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179 | kill L;kill R; |
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180 | |
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181 | "============== xy"; |
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182 | ring R=0,(x,y,z),dp; |
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183 | ideal I=xy; |
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184 | list L=resolve(I,"A"); |
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185 | zetaDL(L,1,"local"); |
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186 | kill L;kill R; |
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187 | |
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188 | "============== xz(xy+z)"; |
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189 | ring R=0,(x,y,z),dp; |
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190 | ideal I=xz*(xy+z); |
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191 | list L=resolve(I,"A"); |
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192 | zetaDL(L,1,"local"); |
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193 | kill L;kill R; |
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194 | |
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195 | "============== x2y2z+xyz2"; |
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196 | ring R=0,(x,y,z),dp; |
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197 | ideal I=x2y2z+xyz2; |
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198 | list L=resolve(I,"A"); |
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199 | zetaDL(L,1,"local"); |
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200 | zetaDL(L,2); |
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201 | kill L;kill R; |
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202 | |
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203 | "============== Cayley cubic"; |
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204 | ring R=0,(x,y,z),dp; |
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205 | ideal I=xy+xz+yz+xyz; //Cayley cubic |
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206 | list L=resolve(I,"A"); |
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207 | zetaDL(L,1,"local"); |
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208 | kill L;kill R; |
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209 | |
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210 | "============== E12"; |
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211 | ring R=0,(x,y,z),dp; |
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212 | ideal I=y7+xy5+x3+z2; //E12 |
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213 | list L=resolve(I,"A"); |
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214 | zetaDL(L,1,"local"); |
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215 | kill L;kill R; |
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216 | |
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217 | "============== E13"; |
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218 | ring R=0,(x,y,z),dp; |
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219 | ideal I=y8+xy5+x3+z2; //E13 |
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220 | list L=resolve(I,"A"); |
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221 | zetaDL(L,1,"local"); |
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222 | kill L;kill R; |
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223 | |
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224 | "============== E14"; |
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225 | ring R=0,(x,y,z),dp; |
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226 | ideal I=y8+xy6+x3+z2; //E14 |
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227 | list L=resolve(I,"A"); |
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228 | zetaDL(L,1,"local"); |
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229 | kill L;kill R; |
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230 | |
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231 | "============== Q10"; |
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232 | ring R=0,(x,y,z),dp; |
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233 | ideal I=xy3+y4+x3+yz2; //Q10 |
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234 | list L=resolve(I,"A"); |
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235 | zetaDL(L,1,"local"); |
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236 | kill L;kill R; |
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237 | |
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238 | "============== Q11"; |
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239 | ring R=0,(x,y,z),dp; |
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240 | ideal I=z5+xz3+x3+y2z; //Q11 |
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241 | list L=resolve(I,"A"); |
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242 | zetaDL(L,1,"local"); |
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243 | kill L;kill R; |
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244 | |
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245 | "============== Q12"; |
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246 | ring R=0,(x,y,z),dp; |
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247 | ideal I=xy4+y5+x3+yz2; //Q12 |
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248 | list L=resolve(I,"A"); |
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249 | zetaDL(L,1,"local"); |
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250 | kill L;kill R; |
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251 | |
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252 | "============== S11"; |
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253 | ring R=0,(x,y,z),dp; |
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254 | ideal I=x4+x3z+y2z+xz2; //S11 |
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255 | list L=resolve(I,"A"); |
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256 | zetaDL(L,1,"local"); |
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257 | kill L;kill R; |
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258 | |
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259 | "============== S12"; |
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260 | ring R=0,(x,y,z),dp; |
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261 | ideal I=z5+xz3+x2y+y2z; //S12 |
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262 | list L=resolve(I,"A"); |
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263 | zetaDL(L,1,"local"); |
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264 | kill L;kill R; |
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265 | |
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266 | |
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267 | tst_status(1);$ |
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