1 | LIB "tst.lib"; |
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2 | tst_init(); option(Imap); |
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3 | |
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4 | ring r0 = 0, (a,b,x,y), lp; |
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5 | poly p = 1 + a + a2 + b + ab + ax + ay + bx + x + y + xy; p; |
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6 | |
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7 | ring r1 = (0, a), (b, x, y), lp; |
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8 | poly p = 1 + a + a2 + b + ab + ax + ay + bx + x + y + xy; p; |
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9 | |
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10 | ring r2 = (0, a, b), (x, y), lp; |
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11 | poly p = 1 + a + a2 + b + ab + ax + ay + bx + x + y + xy; p; |
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12 | |
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13 | ring s0 = 32003, (a,b,x,y), lp; |
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14 | poly p = 1 + a + a2 + b + ab + ax + ay + bx + x + y + xy; p; |
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15 | |
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16 | ring s1 = (32003, a), (b, x, y), lp; |
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17 | poly p = 1 + a + a2 + b + ab + ax + ay + bx + x + y + xy; p; |
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18 | |
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19 | ring s2 = (32003, a,b), (x, y), lp; |
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20 | poly p = 1 + a + a2 + b + ab + ax + ay + bx + x + y + xy; p; |
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21 | |
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22 | ring t0 = 7, (a,b,x,y), lp; |
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23 | poly p = 1 + a + a2 + b + ab + ax + ay + bx + x + y + xy; p; |
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24 | |
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25 | ring t1 = (7, a), (b, x, y), lp; |
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26 | poly p = 1 + a + a2 + b + ab + ax + ay + bx + x + y + xy; p; |
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27 | |
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28 | ring t2 = (7, a,b), (x, y), lp; |
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29 | poly p = 1 + a + a2 + b + ab + ax + ay + bx + x + y + xy; p; |
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30 | |
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31 | ring f0 = (0, a) , (b, x, y), lp; minpoly = a2 + 1; |
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32 | poly p = 1 + a + a2 + b + ab + ax + ay + bx + x + y + xy; p; |
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33 | |
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34 | ring f1 = (7, a) , (b, x, y), lp; minpoly = a2 + 1; |
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35 | poly p = 1 + a + a2 + b + ab + ax + ay + bx + x + y + xy; p; |
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36 | |
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37 | ring f2 = (49, a), (b, x, y), lp; |
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38 | poly p = 1 + a + a2 + b + ab + ax + ay + bx + x + y + xy; p; |
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39 | |
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40 | |
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41 | |
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42 | setring r0; |
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43 | imap(r0, p); |
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44 | imap (r1, p); |
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45 | imap(r2, p); |
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46 | imap(s0, p); |
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47 | imap (s1, p); |
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48 | imap(s2, p); |
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49 | imap(t0, p); |
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50 | imap (t1, p); |
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51 | imap(t2, p); |
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52 | imap(f2, p); |
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53 | imap(f1, p); |
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54 | imap(f0, p); |
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55 | |
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56 | setring r1; |
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57 | imap(r0, p); |
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58 | imap (r1, p); |
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59 | imap(r2, p); |
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60 | imap(s0, p); |
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61 | imap (s1, p); |
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62 | imap(s2, p); |
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63 | imap(t0, p); |
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64 | imap (t1, p); |
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65 | imap(t2, p); |
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66 | imap(f2, p); |
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67 | imap(f1, p); |
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68 | imap(f0, p); |
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69 | |
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70 | setring r2; |
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71 | imap(r0, p); |
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72 | imap (r1, p); |
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73 | imap(r2, p); |
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74 | imap(s0, p); |
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75 | imap (s1, p); |
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76 | imap(s2, p); |
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77 | imap(t0, p); |
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78 | imap (t1, p); |
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79 | imap(t2, p); |
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80 | imap(f2, p); |
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81 | imap(f1, p); |
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82 | imap(f0, p); |
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83 | |
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84 | setring s0; |
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85 | imap(r0, p); |
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86 | imap (r1, p); |
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87 | imap(r2, p); |
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88 | imap(s0, p); |
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89 | imap (s1, p); |
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90 | imap(s2, p); |
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91 | imap(t0, p); |
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92 | imap (t1, p); |
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93 | imap(t2, p); |
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94 | imap(f2, p); |
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95 | imap(f1, p); |
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96 | imap(f0, p); |
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97 | |
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98 | setring s1; |
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99 | imap(r0, p); |
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100 | imap (r1, p); |
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101 | imap(r2, p); |
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102 | imap(s0, p); |
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103 | imap (s1, p); |
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104 | imap(s2, p); |
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105 | imap(t0, p); |
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106 | imap (t1, p); |
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107 | imap(t2, p); |
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108 | imap(f2, p); |
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109 | imap(f1, p); |
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110 | imap(f0, p); |
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111 | |
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112 | setring s2; |
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113 | imap(r0, p); |
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114 | imap (r1, p); |
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115 | imap(r2, p); |
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116 | imap(s0, p); |
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117 | imap (s1, p); |
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118 | imap(s2, p); |
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119 | imap(t0, p); |
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120 | imap (t1, p); |
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121 | imap(t2, p); |
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122 | imap(f2, p); |
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123 | imap(f1, p); |
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124 | imap(f0, p); |
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125 | |
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126 | setring t0; |
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127 | imap(r0, p); |
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128 | imap (r1, p); |
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129 | imap(r2, p); |
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130 | imap(s0, p); |
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131 | imap (s1, p); |
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132 | imap(s2, p); |
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133 | imap(t0, p); |
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134 | imap (t1, p); |
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135 | imap(t2, p); |
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136 | imap(f2, p); |
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137 | imap(f1, p); |
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138 | imap(f0, p); |
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139 | |
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140 | setring t1; |
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141 | imap(r0, p); |
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142 | imap (r1, p); |
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143 | imap(r2, p); |
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144 | imap(s0, p); |
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145 | imap (s1, p); |
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146 | imap(s2, p); |
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147 | imap(t0, p); |
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148 | imap (t1, p); |
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149 | imap(t2, p); |
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150 | imap(f2, p); |
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151 | imap(f1, p); |
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152 | imap(f0, p); |
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153 | |
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154 | setring t2; |
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155 | imap(r0, p); |
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156 | imap (r1, p); |
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157 | imap(r2, p); |
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158 | imap(s0, p); |
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159 | imap (s1, p); |
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160 | imap(s2, p); |
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161 | imap(t0, p); |
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162 | imap (t1, p); |
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163 | imap(t2, p); |
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164 | imap(f2, p); |
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165 | imap(f1, p); |
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166 | imap(f0, p); |
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167 | |
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168 | setring f2; |
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169 | imap(r0, p); |
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170 | imap (r1, p); |
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171 | imap(r2, p); |
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172 | imap(s0, p); |
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173 | imap (s1, p); |
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174 | imap(s2, p); |
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175 | imap(t0, p); |
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176 | imap (t1, p); |
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177 | imap(t2, p); |
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178 | imap(f2, p); |
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179 | imap(f1, p); |
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180 | imap(f0, p); |
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181 | |
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182 | setring f1; |
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183 | imap(r0, p); |
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184 | imap (r1, p); |
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185 | imap(r2, p); |
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186 | imap(s0, p); |
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187 | imap (s1, p); |
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188 | imap(s2, p); |
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189 | imap(t0, p); |
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190 | imap (t1, p); |
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191 | imap(t2, p); |
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192 | imap(f2, p); |
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193 | imap(f1, p); |
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194 | imap(f0, p); |
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195 | |
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196 | setring f0; |
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197 | imap(r0, p); |
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198 | imap (r1, p); |
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199 | imap(r2, p); |
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200 | imap(s0, p); |
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201 | imap (s1, p); |
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202 | imap(s2, p); |
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203 | imap(t0, p); |
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204 | imap (t1, p); |
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205 | imap(t2, p); |
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206 | imap(f2, p); |
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207 | imap(f1, p); |
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208 | imap(f0, p); |
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209 | |
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210 | setring r0; |
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211 | fetch(r0, p); |
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212 | fetch (r1, p); |
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213 | fetch(r2, p); |
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214 | fetch(s0, p); |
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215 | fetch (s1, p); |
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216 | fetch(s2, p); |
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217 | fetch(t0, p); |
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218 | fetch (t1, p); |
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219 | fetch(t2, p); |
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220 | fetch(f2, p); |
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221 | fetch(f1, p); |
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222 | fetch(f0, p); |
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223 | |
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224 | setring r1; |
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225 | fetch(r0, p); |
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226 | fetch (r1, p); |
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227 | fetch(r2, p); |
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228 | fetch(s0, p); |
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229 | fetch (s1, p); |
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230 | fetch(s2, p); |
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231 | fetch(t0, p); |
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232 | fetch (t1, p); |
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233 | fetch(t2, p); |
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234 | fetch(f2, p); |
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235 | fetch(f1, p); |
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236 | fetch(f0, p); |
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237 | |
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238 | setring r2; |
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239 | fetch(r0, p); |
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240 | fetch (r1, p); |
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241 | fetch(r2, p); |
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242 | fetch(s0, p); |
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243 | fetch (s1, p); |
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244 | fetch(s2, p); |
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245 | fetch(t0, p); |
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246 | fetch (t1, p); |
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247 | fetch(t2, p); |
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248 | fetch(f2, p); |
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249 | fetch(f1, p); |
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250 | fetch(f0, p); |
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251 | |
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252 | setring s0; |
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253 | fetch(r0, p); |
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254 | fetch (r1, p); |
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255 | fetch(r2, p); |
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256 | fetch(s0, p); |
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257 | fetch (s1, p); |
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258 | fetch(s2, p); |
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259 | fetch(t0, p); |
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260 | fetch (t1, p); |
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261 | fetch(t2, p); |
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262 | fetch(f2, p); |
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263 | fetch(f1, p); |
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264 | fetch(f0, p); |
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265 | |
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266 | setring s1; |
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267 | fetch(r0, p); |
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268 | fetch (r1, p); |
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269 | fetch(r2, p); |
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270 | fetch(s0, p); |
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271 | fetch (s1, p); |
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272 | fetch(s2, p); |
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273 | fetch(t0, p); |
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274 | fetch (t1, p); |
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275 | fetch(t2, p); |
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276 | fetch(f2, p); |
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277 | fetch(f1, p); |
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278 | fetch(f0, p); |
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279 | |
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280 | setring s2; |
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281 | fetch(r0, p); |
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282 | fetch (r1, p); |
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283 | fetch(r2, p); |
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284 | fetch(s0, p); |
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285 | fetch (s1, p); |
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286 | fetch(s2, p); |
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287 | fetch(t0, p); |
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288 | fetch (t1, p); |
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289 | fetch(t2, p); |
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290 | fetch(f2, p); |
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291 | fetch(f1, p); |
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292 | fetch(f0, p); |
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293 | |
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294 | setring t0; |
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295 | fetch(r0, p); |
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296 | fetch (r1, p); |
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297 | fetch(r2, p); |
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298 | fetch(s0, p); |
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299 | fetch (s1, p); |
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300 | fetch(s2, p); |
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301 | fetch(t0, p); |
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302 | fetch (t1, p); |
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303 | fetch(t2, p); |
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304 | fetch(f2, p); |
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305 | fetch(f1, p); |
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306 | fetch(f0, p); |
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307 | |
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308 | setring t1; |
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309 | fetch(r0, p); |
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310 | fetch (r1, p); |
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311 | fetch(r2, p); |
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312 | fetch(s0, p); |
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313 | fetch (s1, p); |
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314 | fetch(s2, p); |
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315 | fetch(t0, p); |
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316 | fetch (t1, p); |
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317 | fetch(t2, p); |
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318 | fetch(f2, p); |
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319 | fetch(f1, p); |
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320 | fetch(f0, p); |
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321 | |
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322 | setring t2; |
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323 | fetch(r0, p); |
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324 | fetch (r1, p); |
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325 | fetch(r2, p); |
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326 | fetch(s0, p); |
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327 | fetch (s1, p); |
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328 | fetch(s2, p); |
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329 | fetch(t0, p); |
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330 | fetch (t1, p); |
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331 | fetch(t2, p); |
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332 | fetch(f2, p); |
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333 | fetch(f1, p); |
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334 | fetch(f0, p); |
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335 | |
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336 | setring f2; |
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337 | fetch(r0, p); |
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338 | fetch (r1, p); |
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339 | fetch(r2, p); |
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340 | fetch(s0, p); |
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341 | fetch (s1, p); |
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342 | fetch(s2, p); |
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343 | fetch(t0, p); |
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344 | fetch (t1, p); |
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345 | fetch(t2, p); |
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346 | fetch(f2, p); |
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347 | fetch(f1, p); |
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348 | fetch(f0, p); |
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349 | |
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350 | setring f1; |
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351 | fetch(r0, p); |
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352 | fetch (r1, p); |
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353 | fetch(r2, p); |
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354 | fetch(s0, p); |
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355 | fetch (s1, p); |
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356 | fetch(s2, p); |
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357 | fetch(t0, p); |
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358 | fetch (t1, p); |
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359 | fetch(t2, p); |
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360 | fetch(f2, p); |
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361 | fetch(f1, p); |
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362 | fetch(f0, p); |
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363 | |
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364 | setring f0; |
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365 | fetch(r0, p); |
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366 | fetch (r1, p); |
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367 | fetch(r2, p); |
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368 | fetch(s0, p); |
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369 | fetch (s1, p); |
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370 | fetch(s2, p); |
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371 | fetch(t0, p); |
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372 | fetch (t1, p); |
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373 | fetch(t2, p); |
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374 | fetch(f2, p); |
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375 | fetch(f1, p); |
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376 | fetch(f0, p); |
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377 | |
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378 | setring r0; |
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379 | map m_r0 = r0,maxideal(1); m_r0(p); |
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380 | map m_r1 = r1,maxideal(1); m_r1(p); |
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381 | map m_r2 = r2,maxideal(1); m_r2(p); |
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382 | map m_s0 = s0,maxideal(1); m_s0(p); |
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383 | map m_s1 = s1,maxideal(1); m_s1(p); |
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384 | map m_s2 = s2,maxideal(1); m_s2(p); |
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385 | map m_t0 = t0,maxideal(1); m_t0(p); |
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386 | map m_t1 = t1,maxideal(1); m_t1(p); |
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387 | map m_t2 = t2,maxideal(1); m_t2(p); |
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388 | map m_f2 = f2,maxideal(1); m_f2(p); |
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389 | map m_f1 = f1,maxideal(1); m_f1(p); |
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390 | map m_f0 = f0,maxideal(1); m_f0(p); |
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391 | |
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392 | setring r1; |
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393 | map m_r0 = r0,maxideal(1); m_r0(p); |
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394 | map m_r1 = r1,maxideal(1); m_r1(p); |
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395 | map m_r2 = r2,maxideal(1); m_r2(p); |
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396 | map m_s0 = s0,maxideal(1); m_s0(p); |
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397 | map m_s1 = s1,maxideal(1); m_s1(p); |
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398 | map m_s2 = s2,maxideal(1); m_s2(p); |
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399 | map m_t0 = t0,maxideal(1); m_t0(p); |
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400 | map m_t1 = t1,maxideal(1); m_t1(p); |
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401 | map m_t2 = t2,maxideal(1); m_t2(p); |
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402 | map m_f2 = f2,maxideal(1); m_f2(p); |
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403 | map m_f1 = f1,maxideal(1); m_f1(p); |
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404 | map m_f0 = f0,maxideal(1); m_f0(p); |
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405 | |
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406 | setring r2; |
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407 | map m_r0 = r0,maxideal(1); m_r0(p); |
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408 | map m_r1 = r1,maxideal(1); m_r1(p); |
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409 | map m_r2 = r2,maxideal(1); m_r2(p); |
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410 | map m_s0 = s0,maxideal(1); m_s0(p); |
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411 | map m_s1 = s1,maxideal(1); m_s1(p); |
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412 | map m_s2 = s2,maxideal(1); m_s2(p); |
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413 | map m_t0 = t0,maxideal(1); m_t0(p); |
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414 | map m_t1 = t1,maxideal(1); m_t1(p); |
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415 | map m_t2 = t2,maxideal(1); m_t2(p); |
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416 | map m_f2 = f2,maxideal(1); m_f2(p); |
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417 | map m_f1 = f1,maxideal(1); m_f1(p); |
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418 | map m_f0 = f0,maxideal(1); m_f0(p); |
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419 | |
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420 | setring s0; |
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421 | map m_r0 = r0,maxideal(1); m_r0(p); |
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422 | map m_r1 = r1,maxideal(1); m_r1(p); |
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423 | map m_r2 = r2,maxideal(1); m_r2(p); |
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424 | map m_s0 = s0,maxideal(1); m_s0(p); |
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425 | map m_s1 = s1,maxideal(1); m_s1(p); |
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426 | map m_s2 = s2,maxideal(1); m_s2(p); |
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427 | map m_t0 = t0,maxideal(1); m_t0(p); |
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428 | map m_t1 = t1,maxideal(1); m_t1(p); |
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429 | map m_t2 = t2,maxideal(1); m_t2(p); |
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430 | map m_f2 = f2,maxideal(1); m_f2(p); |
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431 | map m_f1 = f1,maxideal(1); m_f1(p); |
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432 | map m_f0 = f0,maxideal(1); m_f0(p); |
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433 | |
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434 | setring s1; |
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435 | map m_r0 = r0,maxideal(1); m_r0(p); |
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436 | map m_r1 = r1,maxideal(1); m_r1(p); |
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437 | map m_r2 = r2,maxideal(1); m_r2(p); |
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438 | map m_s0 = s0,maxideal(1); m_s0(p); |
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439 | map m_s1 = s1,maxideal(1); m_s1(p); |
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440 | map m_s2 = s2,maxideal(1); m_s2(p); |
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441 | map m_t0 = t0,maxideal(1); m_t0(p); |
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442 | map m_t1 = t1,maxideal(1); m_t1(p); |
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443 | map m_t2 = t2,maxideal(1); m_t2(p); |
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444 | map m_f2 = f2,maxideal(1); m_f2(p); |
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445 | map m_f1 = f1,maxideal(1); m_f1(p); |
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446 | map m_f0 = f0,maxideal(1); m_f0(p); |
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447 | |
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448 | setring s2; |
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449 | map m_r0 = r0,maxideal(1); m_r0(p); |
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450 | map m_r1 = r1,maxideal(1); m_r1(p); |
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451 | map m_r2 = r2,maxideal(1); m_r2(p); |
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452 | map m_s0 = s0,maxideal(1); m_s0(p); |
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453 | map m_s1 = s1,maxideal(1); m_s1(p); |
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454 | map m_s2 = s2,maxideal(1); m_s2(p); |
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455 | map m_t0 = t0,maxideal(1); m_t0(p); |
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456 | map m_t1 = t1,maxideal(1); m_t1(p); |
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457 | map m_t2 = t2,maxideal(1); m_t2(p); |
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458 | map m_f2 = f2,maxideal(1); m_f2(p); |
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459 | map m_f1 = f1,maxideal(1); m_f1(p); |
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460 | map m_f0 = f0,maxideal(1); m_f0(p); |
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461 | |
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462 | setring t0; |
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463 | map m_r0 = r0,maxideal(1); m_r0(p); |
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464 | map m_r1 = r1,maxideal(1); m_r1(p); |
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465 | map m_r2 = r2,maxideal(1); m_r2(p); |
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466 | map m_s0 = s0,maxideal(1); m_s0(p); |
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467 | map m_s1 = s1,maxideal(1); m_s1(p); |
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468 | map m_s2 = s2,maxideal(1); m_s2(p); |
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469 | map m_t0 = t0,maxideal(1); m_t0(p); |
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470 | map m_t1 = t1,maxideal(1); m_t1(p); |
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471 | map m_t2 = t2,maxideal(1); m_t2(p); |
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472 | map m_f2 = f2,maxideal(1); m_f2(p); |
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473 | map m_f1 = f1,maxideal(1); m_f1(p); |
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474 | map m_f0 = f0,maxideal(1); m_f0(p); |
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475 | |
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476 | setring t1; |
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477 | map m_r0 = r0,maxideal(1); m_r0(p); |
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478 | map m_r1 = r1,maxideal(1); m_r1(p); |
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479 | map m_r2 = r2,maxideal(1); m_r2(p); |
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480 | map m_s0 = s0,maxideal(1); m_s0(p); |
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481 | map m_s1 = s1,maxideal(1); m_s1(p); |
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482 | map m_s2 = s2,maxideal(1); m_s2(p); |
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483 | map m_t0 = t0,maxideal(1); m_t0(p); |
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484 | map m_t1 = t1,maxideal(1); m_t1(p); |
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485 | map m_t2 = t2,maxideal(1); m_t2(p); |
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486 | map m_f2 = f2,maxideal(1); m_f2(p); |
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487 | map m_f1 = f1,maxideal(1); m_f1(p); |
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488 | map m_f0 = f0,maxideal(1); m_f0(p); |
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489 | |
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490 | setring t2; |
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491 | map m_r0 = r0,maxideal(1); m_r0(p); |
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492 | map m_r1 = r1,maxideal(1); m_r1(p); |
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493 | map m_r2 = r2,maxideal(1); m_r2(p); |
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494 | map m_s0 = s0,maxideal(1); m_s0(p); |
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495 | map m_s1 = s1,maxideal(1); m_s1(p); |
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496 | map m_s2 = s2,maxideal(1); m_s2(p); |
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497 | map m_t0 = t0,maxideal(1); m_t0(p); |
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498 | map m_t1 = t1,maxideal(1); m_t1(p); |
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499 | map m_t2 = t2,maxideal(1); m_t2(p); |
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500 | map m_f2 = f2,maxideal(1); m_f2(p); |
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501 | map m_f1 = f1,maxideal(1); m_f1(p); |
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502 | map m_f0 = f0,maxideal(1); m_f0(p); |
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503 | |
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504 | setring f2; |
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505 | map m_r0 = r0,maxideal(1); m_r0(p); |
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506 | map m_r1 = r1,maxideal(1); m_r1(p); |
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507 | map m_r2 = r2,maxideal(1); m_r2(p); |
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508 | map m_s0 = s0,maxideal(1); m_s0(p); |
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509 | map m_s1 = s1,maxideal(1); m_s1(p); |
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510 | map m_s2 = s2,maxideal(1); m_s2(p); |
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511 | map m_t0 = t0,maxideal(1); m_t0(p); |
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512 | map m_t1 = t1,maxideal(1); m_t1(p); |
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513 | map m_t2 = t2,maxideal(1); m_t2(p); |
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514 | map m_f2 = f2,maxideal(1); m_f2(p); |
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515 | map m_f1 = f1,maxideal(1); m_f1(p); |
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516 | map m_f0 = f0,maxideal(1); m_f0(p); |
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517 | |
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518 | setring f1; |
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519 | map m_r0 = r0,maxideal(1); m_r0(p); |
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520 | map m_r1 = r1,maxideal(1); m_r1(p); |
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521 | map m_r2 = r2,maxideal(1); m_r2(p); |
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522 | map m_s0 = s0,maxideal(1); m_s0(p); |
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523 | map m_s1 = s1,maxideal(1); m_s1(p); |
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524 | map m_s2 = s2,maxideal(1); m_s2(p); |
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525 | map m_t0 = t0,maxideal(1); m_t0(p); |
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526 | map m_t1 = t1,maxideal(1); m_t1(p); |
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527 | map m_t2 = t2,maxideal(1); m_t2(p); |
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528 | map m_f2 = f2,maxideal(1); m_f2(p); |
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529 | map m_f1 = f1,maxideal(1); m_f1(p); |
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530 | map m_f0 = f0,maxideal(1); m_f0(p); |
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531 | |
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532 | setring f0; |
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533 | map m_r0 = r0,maxideal(1); m_r0(p); |
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534 | map m_r1 = r1,maxideal(1); m_r1(p); |
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535 | map m_r2 = r2,maxideal(1); m_r2(p); |
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536 | map m_s0 = s0,maxideal(1); m_s0(p); |
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537 | map m_s1 = s1,maxideal(1); m_s1(p); |
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538 | map m_s2 = s2,maxideal(1); m_s2(p); |
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539 | map m_t0 = t0,maxideal(1); m_t0(p); |
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540 | map m_t1 = t1,maxideal(1); m_t1(p); |
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541 | map m_t2 = t2,maxideal(1); m_t2(p); |
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542 | map m_f2 = f2,maxideal(1); m_f2(p); |
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543 | map m_f1 = f1,maxideal(1); m_f1(p); |
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544 | map m_f0 = f0,maxideal(1); m_f0(p); |
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545 | |
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546 | // an example (fixed in 2-0-5, Jan 2004) |
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547 | ring S=(0,a),(x,u),lp; |
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548 | poly q=(a2+1)*x2u2; |
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549 | ring K=(0,a,u),(x),lp; |
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550 | imap(S,q); |
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551 | |
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552 | tst_status(1);$ |
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