1 | LIB "tst.lib"; |
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2 | tst_init(); |
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3 | |
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4 | LIB "primdec.lib"; |
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5 | |
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6 | ring r=32003,(a,b,c,d,e,f),(C,dp); |
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7 | ideal i= |
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8 | a2cdf2, |
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9 | b2cdf2, |
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10 | a2bdf2, |
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11 | b3df2, |
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12 | a3df2, |
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13 | ab2df2, |
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14 | a2cde, |
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15 | b2cde, |
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16 | a2bde, |
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17 | b3de, |
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18 | a3de, |
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19 | ab2de, |
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20 | a2cd2, |
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21 | b2cd2, |
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22 | a2bd2, |
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23 | b3d2, |
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24 | a3d2, |
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25 | ab2d2, |
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26 | a2c2f2, |
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27 | b2c2f2, |
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28 | a2bcf2, |
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29 | b3cf2, |
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30 | a3cf2, |
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31 | ab2cf2, |
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32 | a2b2f2, |
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33 | b4f2, |
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34 | a3bf2, |
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35 | ab3f2, |
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36 | a4f2; |
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37 | |
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38 | list pr1=minAssGTZ(i); |
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39 | ideal i1=radical(i); |
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40 | ideal i2=equiRadical(i); |
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41 | list pr2= primdecGTZ(i); |
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42 | list pr3=minAssChar(i,1); |
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43 | list pr4=primdecSY(i,1); |
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44 | matrix m=char_series(i); |
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45 | pr1; |
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46 | i1; |
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47 | i2; |
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48 | pr2; |
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49 | pr3; |
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50 | pr4; |
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51 | m; |
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52 | testPrimary(pr2,i); |
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53 | kill r; |
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54 | |
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55 | ring r=0,(a,b,c,d,e,f),(C,dp); |
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56 | ideal i= |
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57 | a2cdf2, |
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58 | b2cdf2, |
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59 | a2bdf2, |
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60 | b3df2, |
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61 | a3df2, |
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62 | ab2df2, |
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63 | a2cde, |
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64 | b2cde, |
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65 | a2bde, |
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66 | b3de, |
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67 | a3de, |
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68 | ab2de, |
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69 | a2cd2, |
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70 | b2cd2, |
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71 | a2bd2, |
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72 | b3d2, |
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73 | a3d2, |
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74 | ab2d2, |
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75 | a2c2f2, |
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76 | b2c2f2, |
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77 | a2bcf2, |
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78 | b3cf2, |
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79 | a3cf2, |
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80 | ab2cf2, |
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81 | a2b2f2, |
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82 | b4f2, |
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83 | a3bf2, |
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84 | ab3f2, |
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85 | a4f2; |
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86 | |
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87 | list pr1=minAssGTZ(i); |
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88 | ideal i1=radical(i); |
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89 | ideal i2=equiRadical(i); |
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90 | list pr2= primdecGTZ(i); |
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91 | list pr3=minAssChar(i,1); |
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92 | list pr4=primdecSY(i,1); |
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93 | matrix m=char_series(i); |
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94 | pr1; |
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95 | i1; |
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96 | i2; |
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97 | pr2; |
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98 | pr3; |
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99 | pr4; |
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100 | m; |
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101 | testPrimary(pr2,i); |
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102 | kill r; |
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103 | |
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104 | |
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105 | |
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106 | ring r=32003,(x,y,z),(C,dp); |
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107 | ideal i= |
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108 | xy2z2-1xy2z+xyz2-1xyz, |
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109 | xy3z+xy2z, |
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110 | xy4-1xy2, |
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111 | x2yz2-1x2yz, |
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112 | x2y3-1x2y2, |
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113 | x4z3-1x4z2+2x3z3-2x3z2+x2z3-1x2z2, |
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114 | x2y2z, |
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115 | x4yz+x3yz, |
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116 | 2x4y2+6x3y2+6x2y2+xy3+xy2, |
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117 | x5z+x4z2+x4z+2x3z2-1x3z+x2z2-1x2z, |
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118 | x6y+3x5y+3x4y+x3y; |
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119 | |
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120 | list pr1=minAssGTZ(i); |
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121 | ideal i1=radical(i); |
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122 | ideal i2=equiRadical(i); |
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123 | list pr2= primdecGTZ(i); |
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124 | list pr3=minAssChar(i,1); |
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125 | list pr4=primdecSY(i,1); |
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126 | matrix m=char_series(i); |
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127 | pr1; |
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128 | i1; |
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129 | i2; |
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130 | pr2; |
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131 | pr3; |
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132 | pr4; |
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133 | m; |
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134 | testPrimary(pr2,i); |
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135 | kill r; |
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136 | |
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137 | |
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138 | ring r=0,(x,y,z),(C,dp); |
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139 | ideal i= |
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140 | xy2z2-1xy2z+xyz2-1xyz, |
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141 | xy3z+xy2z, |
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142 | xy4-1xy2, |
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143 | x2yz2-1x2yz, |
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144 | x2y3-1x2y2, |
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145 | x4z3-1x4z2+2x3z3-2x3z2+x2z3-1x2z2, |
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146 | x2y2z, |
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147 | x4yz+x3yz, |
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148 | 2x4y2+6x3y2+6x2y2+xy3+xy2, |
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149 | x5z+x4z2+x4z+2x3z2-1x3z+x2z2-1x2z, |
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150 | x6y+3x5y+3x4y+x3y; |
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151 | |
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152 | list pr1=minAssGTZ(i); |
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153 | ideal i1=radical(i); |
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154 | ideal i2=equiRadical(i); |
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155 | list pr2= primdecGTZ(i); |
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156 | list pr3=minAssChar(i,1); |
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157 | list pr4=primdecSY(i,1); |
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158 | matrix m=char_series(i); |
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159 | pr1; |
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160 | i1; |
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161 | i2; |
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162 | pr2; |
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163 | pr3; |
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164 | pr4; |
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165 | m; |
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166 | testPrimary(pr2,i); |
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167 | kill r; |
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168 | |
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169 | ring r = 32003,(b,c,d,e,f,g,h,j,k,l),(C,dp); |
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170 | ideal i= |
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171 | (l-k)^9, |
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172 | (l-k)^8*(l-b), |
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173 | (l-k)^7*(l-c), |
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174 | (l-k)^6*(l-d), |
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175 | (l-k)^5*(l-e), |
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176 | (l-k)^4*(l-f), |
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177 | (l-k)^3*(l-g), |
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178 | (l-k)^2*(l-h), |
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179 | (l-k)*(l-j); |
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180 | |
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181 | list pr1=minAssGTZ(i); |
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182 | ideal i1=radical(i); |
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183 | ideal i2=equiRadical(i); |
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184 | list pr2= primdecGTZ(i); |
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185 | list pr3=minAssChar(i,1); |
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186 | list pr4=primdecSY(i,1); |
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187 | matrix m=char_series(i); |
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188 | pr1; |
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189 | i1; |
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190 | i2; |
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191 | pr2; |
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192 | pr3; |
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193 | pr4; |
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194 | m; |
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195 | testPrimary(pr2,i); |
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196 | kill r; |
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197 | |
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198 | // new example from Gerhard/Agnes |
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199 | ring R=3,(x,y),lp; |
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200 | ideal i=y4-x3-x,x9-x,y9-y; |
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201 | list pr1=minAssGTZ(i); |
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202 | ideal i1=radical(i); |
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203 | ideal i2=equiRadical(i); |
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204 | list pr2= primdecGTZ(i); |
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205 | list pr3=minAssChar(i,1); |
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206 | list pr4=primdecSY(i,1); |
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207 | matrix m=char_series(i); |
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208 | pr1; |
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209 | i1; |
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210 | i2; |
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211 | pr2; |
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212 | pr3; |
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213 | pr4; |
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214 | m; |
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215 | testPrimary(pr2,i); |
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216 | |
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217 | tst_status(1);$ |
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