1 | LIB "tst.lib"; |
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2 | tst_init(); |
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3 | |
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4 | LIB "nets.lib"; |
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5 | |
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6 | |
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7 | ring r1=101,(x,y,z),lp; |
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8 | list L=111, x+y, x3y-z, y+3z4; |
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9 | print("list L=111, x+y, x3y-z, y+3z4"); |
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10 | netList(L); |
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11 | kill r1; |
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12 | |
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13 | ring r1=101,(x,y,z),lp; |
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14 | number a= 5; |
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15 | netNumber(a); |
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16 | kill r1; |
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17 | |
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18 | ring r=0,x,lp; |
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19 | netCoefficientRing(r); |
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20 | kill r; |
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21 | |
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22 | |
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23 | ring r=0,x,lp; |
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24 | int n=2; |
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25 | int m=5; |
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26 | netPrimePower(n,m); |
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27 | kill r; |
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28 | |
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29 | |
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30 | ring r = 32003,(x,y,z),dp; |
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31 | netRing(r); |
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32 | kill r; |
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33 | |
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34 | ring r = 32003,(x(1..10)),dp; |
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35 | netRing(r); |
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36 | kill r; |
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37 | |
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38 | ring r = 32003,(x(1..5)(1..8)),dp; |
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39 | netRing(r); |
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40 | kill r; |
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41 | |
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42 | ring r = 0,(a,b,c,d),lp; |
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43 | netRing(r); |
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44 | |
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45 | kill r; |
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46 | ring r = 7,(x,y,z),ds; |
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47 | netRing(r); |
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48 | |
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49 | |
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50 | kill r; |
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51 | ring r = 7,(x(1..6)),(lp(3),dp); |
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52 | netRing(r); |
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53 | |
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54 | kill r; |
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55 | ring r = 0,(x,y,z,a,b,c),(ds(3), dp(3)); |
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56 | netRing(r); |
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57 | |
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58 | kill r; |
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59 | ring r = 0,(x,y,z),(c,wp(2,1,3)); |
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60 | netRing(r); |
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61 | |
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62 | kill r; |
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63 | ring r = (7,a,b,c),(x,y,z),Dp; |
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64 | netRing(r); |
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65 | |
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66 | kill r; |
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67 | ring r = (7,a),(x,y,z),dp; |
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68 | minpoly = a^2+a+3; |
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69 | netRing(r); |
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70 | |
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71 | kill r; |
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72 | ring r = (7^2,a),(x,y,z),dp; |
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73 | netRing(r); |
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74 | |
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75 | kill r; |
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76 | ring r = real,(x,y,z),dp; |
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77 | netRing(r); |
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78 | |
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79 | kill r; |
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80 | ring r = (real,50),(x,y,z),dp; |
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81 | netRing(r); |
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82 | |
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83 | kill r; |
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84 | ring r = (real,10,50),(x,y,z),dp; |
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85 | netRing(r); |
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86 | |
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87 | kill r; |
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88 | ring r = (complex,30,j),(x,y,z),dp; |
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89 | netRing(r); |
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90 | |
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91 | kill r; |
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92 | ring r = complex,(x,y,z),dp; |
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93 | netRing(r); |
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94 | |
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95 | kill r; |
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96 | ring R = 7,(x,y,z), dp; |
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97 | qring r = std(maxideal(2)); |
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98 | netRing(r); |
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99 | |
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100 | |
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101 | kill r; |
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102 | ring r1=101,(x,y,z),lp; |
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103 | ring r2=103,(a,b,c),lp; |
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104 | map f=r1,ab,ac,bc; |
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105 | netMap(f); |
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106 | kill r1,r2; |
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107 | |
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108 | |
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109 | int a=111111; |
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110 | int b=22222; |
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111 | int c=3333; |
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112 | int d=444; |
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113 | bigintmat M[2][2]=a,b,c,d; |
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114 | netBigIntMat(M); |
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115 | kill a,b,c,d,M; |
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116 | |
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117 | ring r; |
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118 | bigint a=1111111111111111; |
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119 | bigint b=2222222222222222; |
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120 | bigint c=3333333333333333; |
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121 | bigint d=44; |
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122 | bigintmat M[2][2]=a,b,c,d; |
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123 | netBigIntMatShort(M); |
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124 | kill a,b,c,d,M; |
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125 | |
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126 | |
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127 | int a=111111; |
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128 | int b=222222; |
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129 | int c=333333; |
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130 | int d=444444; |
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131 | intmat M[2][2]=a,b,c,d; |
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132 | netIntMat(M); |
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133 | kill a,b,c,d,M; |
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134 | |
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135 | |
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136 | int a=111111; |
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137 | int b=222222; |
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138 | int c=333333; |
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139 | int d=444444; |
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140 | intvec V=a,b,c,d; |
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141 | netIntVector(V); |
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142 | kill a,b,c,d,V; |
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143 | |
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144 | int a=111111; |
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145 | int b=222222; |
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146 | int c=333333; |
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147 | int d=444444; |
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148 | intvec V=a,b,c,d; |
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149 | netIntVectorShort(V,4); |
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150 | kill a,b,c,d,V; |
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151 | |
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152 | |
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153 | ring r1=101,(x,y,z),lp; |
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154 | poly a=2x3y4+300xy-234z23; |
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155 | poly b=2x3y4z; |
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156 | poly c=x3y4z5; |
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157 | poly d=5x6y7z10; |
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158 | poly e=2x3y; |
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159 | poly f=4y5z8; |
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160 | matrix M[2][3]=a,b,c,d,e,f; |
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161 | print(M); |
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162 | netmatrix(M); |
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163 | kill r1; |
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164 | |
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165 | ring r1=101,(x,y,z),lp; |
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166 | poly a=2x3y4+300xy-234z23+z25+z26+z27+z28+z29+z30+z^30000+z^30001+z^30002+z^30003; |
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167 | poly b=2x3y4z; |
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168 | poly c=x3y4z5; |
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169 | poly d=5x6y7z10; |
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170 | poly e=2x3y-2x3y4+300xy-234z23; |
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171 | poly f=4y5z8; |
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172 | matrix M[2][3]=a,b,c,d,e,f; |
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173 | netmatrixShort(M, 10); |
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174 | kill r1; |
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175 | |
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176 | setring r; |
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177 | |
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178 | int j=5; |
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179 | netInt(j); |
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180 | |
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181 | |
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182 | bigint M=5; |
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183 | netBigInt(M); |
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184 | kill M; |
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185 | |
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186 | string M="Hallo"; |
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187 | netString(M); |
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188 | kill M; |
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189 | |
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190 | |
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191 | |
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192 | ring r1=101,(x,y,z),lp; |
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193 | poly a=2x3y4; |
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194 | poly b=2x3y4z; |
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195 | poly c=x3y4z5; |
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196 | poly d=5x6y7z10; |
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197 | poly e=2x3y; |
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198 | poly f=4y5z8; |
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199 | vector V=[a,b,c,d,e,f]; |
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200 | netvector(V); |
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201 | kill r1; |
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202 | |
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203 | |
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204 | ring r1=101,(x,y,z),lp; |
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205 | poly a=2x3y4; |
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206 | poly b=2x3y4z-5x6y7z10; |
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207 | poly c=x3y4z5; |
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208 | poly d=5x6y7z10; |
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209 | poly e=2x3y; |
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210 | poly f=4y5z8+5x6y7z10; |
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211 | vector V=[a,b,c,d,e,f]; |
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212 | netvectorShort(V); |
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213 | kill r1; |
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214 | |
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215 | |
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216 | |
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217 | ring r=32003,(x,y,z),lp; |
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218 | poly p=x4+4y4+4z4-x3-3y3-3z3+1x2+2y2+z2-x-1y-z1; |
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219 | p; |
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220 | netPoly(p); |
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221 | kill p; |
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222 | |
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223 | poly p2=x3yz+xy3z+xyz3-2x2yz-2xy2z-2xyz2+1xyz+x1yzxy1z; |
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224 | p2; |
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225 | netPoly(p2); |
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226 | |
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227 | poly p=x+y+z-x2-3y-4z4+xy+xz+2xy-x2y-xz2-y2z2; |
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228 | p; |
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229 | netPoly(p); |
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230 | kill r; |
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231 | |
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232 | |
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233 | ring r=32003,(x(1..10)),lp; |
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234 | poly p=x(1)*x(2)*x(3)+2*x(1)^2+2*x(1)*x(2); |
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235 | p; |
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236 | netPoly(p); |
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237 | kill p; |
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238 | |
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239 | poly p=x(1)^2*x(2)^3*x(3)^4-2*x(1)^1*x(2)^2+2*x(1)*x(2)*x(10); |
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240 | p; |
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241 | netPoly(p); |
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242 | kill r; |
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243 | |
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244 | ring r=7,(x,y,z),lp; |
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245 | poly p=17x2+24y; |
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246 | p; |
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247 | netPoly(p); |
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248 | kill r; |
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249 | |
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250 | ring r=(7,a,b,c),(x,y,z),Dp; |
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251 | poly p=2ax2+by-cz3; |
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252 | p; |
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253 | netPoly(p); |
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254 | kill r; |
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255 | |
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256 | ring r=(7,a),(x,y,z),dp; |
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257 | minpoly = a^2+a+3; |
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258 | poly p=2ax2+y-az3; |
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259 | p; |
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260 | netPoly(p); |
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261 | kill r; |
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262 | |
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263 | ring r = (complex,30,j),(x,y,z),dp; |
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264 | poly p=2x2+y-z3+20*j; |
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265 | p; |
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266 | netPoly(p); |
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267 | kill r; |
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268 | |
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269 | |
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270 | |
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271 | ring r; |
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272 | ideal I=2x3y4,2x3y4z+x3y4z5,5x6y7z10-2x3y+4y5z8; |
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273 | netIdeal(I); |
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274 | |
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275 | tst_status(1);$ |
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276 | |
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277 | |
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