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Sistemas 8x8

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Sistemas de 8 ecuaciones y ocho incognitas con solucion entera o un sólo decimal

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Sistemas 8x8

  1. 1. 1 E1 + 5 x1 + 8 x2 - 3 x3 + 1 x4 - 6 x5 + 7 x6 + 4 x7 + 2 x8 = + 53 E2 - 3 x1 - 8 x2 + 7 x3 + 3 x4 + 4 x5 + 6 x6 + 2 x7 - 9 x8 = - 80 E3 + 1 x1 - 3 x2 - 9 x3 - 4 x4 + 9 x5 + 9 x6 - 2 x7 - 8 x8 = + 53 E4 + 9 x1 + 6 x2 - 8 x3 - 5 x4 - 5 x5 + 6 x6 + 8 x7 + 5 x8 = + 14 E5 + 3 x1 + 3 x2 - 3 x3 + 4 x4 + 7 x5 + 5 x6 + 7 x7 - 5 x8 = - 92 E6 - 8 x1 - 6 x2 - 7 x3 + 2 x4 + 6 x5 - 9 x6 - 4 x6 - 4 x8 = + 38 E7 + 1 x1 + 4 x2 + 9 x3 + 5 x4 - 4 x5 - 6 x6 + 2 x6 - 2 x8 = - 62 E8 + 2 x1 - 4 x2 - 5 x3 + 6 x4 + 2 x5 - 8 x6 + 5 x6 - 2 x8 = - 102 2 E1 - 5 x1 + 7 x2 - 5 x3 + 9 x4 + 2 x5 + 7 x6 + 4 x7 + 5 x8 = + 195 E2 + 3 x1 + 7 x2 - 4 x3 + 1 x4 - 3 x5 - 5 x6 - 4 x7 - 5 x8 = - 65 E3 - 6 x1 - 6 x2 - 7 x3 - 7 x4 + 6 x5 + 5 x6 - 8 x7 + 9 x8 = + 36 E4 - 5 x1 - 8 x2 - 8 x3 + 6 x4 - 7 x5 - 4 x6 - 6 x7 - 2 x8 = - 3 E5 - 3 x1 + 5 x2 - 4 x3 + 6 x4 - 6 x5 - 5 x6 + 7 x7 - 6 x8 = + 64 E6 + 5 x1 - 6 x2 + 8 x3 + 4 x4 + 6 x5 + 2 x6 + 6 x6 + 2 x8 = + 37 E7 + 9 x1 + 3 x2 + 7 x3 + 6 x4 - 2 x5 - 8 x6 + 6 x6 - 4 x8 = - 47 E8 + 4 x1 + 7 x2 + 7 x3 - 6 x4 - 7 x5 - 7 x6 + 6 x6 - 5 x8 = - 111 3 E1 - 7 x1 + 5 x2 + 7 x3 - 4 x4 - 6 x5 - 2 x6 + 6 x7 + 9 x8 = + 215 E2 + 4 x1 + 1 x2 + 4 x3 + 6 x4 - 8 x5 - 3 x6 - 9 x7 - 2 x8 = - 14 E3 + 6 x1 - 8 x2 + 3 x3 + 7 x4 + 2 x5 + 6 x6 - 6 x7 + 8 x8 = + 21 E4 + 5 x1 - 5 x2 + 6 x3 + 9 x4 - 4 x5 + 5 x6 + 8 x7 - 5 x8 = + 85 E5 - 9 x1 - 2 x2 + 6 x3 + 1 x4 - 3 x5 + 3 x6 + 1 x7 + 3 x8 = + 122 E6 + 6 x1 + 3 x2 - 8 x3 + 9 x4 - 9 x5 + 6 x6 + 5 x6 + 7 x8 = + 253 E7 + 2 x1 - 2 x2 + 4 x3 - 2 x4 + 3 x5 + 5 x6 - 2 x6 + 8 x8 = + 53 E8 + 8 x1 + 2 x2 - 6 x3 + 2 x4 + 8 x5 + 8 x6 - 9 x6 - 3 x8 = - 100 4 E1 + 9 x1 - 9 x2 - 2 x3 + 8 x4 + 7 x5 + 6 x6 + 2 x7 + 3 x8 = - 267 E2 - 2 x1 + 8 x2 + 6 x3 + 7 x4 - 2 x5 + 2 x6 - 2 x7 - 8 x8 = + 58 E3 + 6 x1 + 1 x2 - 5 x3 - 4 x4 - 6 x5 - 3 x6 - 9 x7 - 7 x8 = + 168 E4 + 7 x1 + 3 x2 - 6 x3 + 8 x4 + 2 x5 - 6 x6 - 3 x7 + 8 x8 = - 11 E5 + 4 x1 - 8 x2 - 6 x3 + 6 x4 + 4 x5 - 8 x6 + 4 x7 - 7 x8 = - 41 E6 + 2 x1 + 9 x2 + 3 x3 + 3 x4 - 6 x5 - 3 x6 + 2 x6 + 4 x8 = + 40 E7 + 2 x1 - 3 x2 - 2 x3 + 7 x4 - 6 x5 + 1 x6 - 6 x6 + 6 x8 = - 10 E8 + 2 x1 - 3 x2 + 6 x3 + 7 x4 + 4 x5 - 7 x6 - 3 x6 - 3 x8 = - 62
  2. 2. 5 E1 + 6 x1 - 5 x2 - 7 x3 + 8 x4 - 4 x5 - 2 x6 + 4 x7 + 3 x8 = + 130 E2 + 5 x1 + 6 x2 + 8 x3 + 8 x4 + 6 x5 + 6 x6 + 4 x7 + 1 x8 = + 37 E3 - 2 x1 + 6 x2 - 5 x3 - 8 x4 + 2 x5 - 2 x6 - 2 x7 + 8 x8 = - 19 E4 + 2 x1 - 1 x2 + 9 x3 + 7 x4 - 9 x5 - 5 x6 + 3 x7 + 7 x8 = + 93 E5 + 5 x1 + 4 x2 + 8 x3 - 4 x4 - 6 x5 - 6 x6 - 5 x7 + 8 x8 = + 12 E6 - 8 x1 + 2 x2 - 6 x3 - 8 x4 + 2 x5 + 2 x6 - 2 x6 - 5 x8 = - 87 E7 + 3 x1 - 6 x2 + 3 x3 + 5 x4 - 5 x5 - 1 x6 + 3 x6 - 3 x8 = + 51 E8 + 2 x1 + 6 x2 - 5 x3 - 6 x4 - 1 x5 + 6 x6 - 9 x6 + 2 x8 = + 45 6 E1 - 5 x1 - 7 x2 - 4 x3 - 2 x4 - 6 x5 + 4 x6 + 6 x7 - 4 x8 = + 45 E2 + 4 x1 + 8 x2 + 8 x3 - 6 x4 - 5 x5 - 8 x6 - 6 x7 + 6 x8 = - 112 E3 + 4 x1 + 3 x2 - 3 x3 + 1 x4 + 9 x5 + 5 x6 + 7 x7 + 8 x8 = + 87 E4 - 5 x1 - 6 x2 - 8 x3 + 9 x4 + 4 x5 + 9 x6 - 7 x7 - 8 x8 = + 86 E5 + 8 x1 + 8 x2 + 7 x3 + 6 x4 + 7 x5 + 1 x6 + 3 x7 + 6 x8 = + 53 E6 - 5 x1 + 9 x2 + 7 x3 - 3 x4 + 3 x5 - 3 x6 - 4 x6 + 5 x8 = - 128 E7 + 3 x1 + 4 x2 + 3 x3 - 8 x4 - 6 x5 + 3 x6 + 5 x6 - 5 x8 = + 8 E8 - 4 x1 - 2 x2 - 7 x3 + 5 x4 + 7 x5 - 5 x6 - 4 x6 - 3 x8 = - 31 7 E1 - 4 x1 + 4 x2 + 7 x3 - 7 x4 - 2 x5 - 2 x6 - 2 x7 - 6 x8 = + 66 E2 + 4 x1 + 8 x2 + 3 x3 - 8 x4 + 3 x5 + 3 x6 - 9 x7 + 2 x8 = + 49 E3 + 3 x1 + 7 x2 + 6 x3 - 3 x4 - 6 x5 - 8 x6 + 6 x7 - 3 x8 = + 88 E4 + 9 x1 + 5 x2 - 3 x3 + 3 x4 + 7 x5 - 7 x6 + 3 x7 - 7 x8 = + 129 E5 - 6 x1 + 3 x2 + 1 x3 + 2 x4 - 7 x5 - 5 x6 + 3 x7 + 6 x8 = 0 E6 + 1 x1 + 1 x2 + 9 x3 - 8 x4 + 9 x5 - 3 x6 - 3 x6 - 1 x8 = + 54 E7 + 7 x1 - 6 x2 - 5 x3 - 4 x4 - 5 x5 + 8 x6 - 5 x6 + 2 x8 = - 129 E8 - 7 x1 + 5 x2 + 5 x3 - 4 x4 + 7 x5 + 1 x6 + 5 x6 + 2 x8 = - 26 8 E1 + 4 x1 - 2 x2 - 1 x3 + 6 x4 - 2 x5 - 5 x6 + 5 x7 - 7 x8 = + 89 E2 + 3 x1 - 4 x2 + 6 x3 + 8 x4 - 7 x5 + 7 x6 - 8 x7 - 5 x8 = - 73 E3 - 2 x1 - 3 x2 - 8 x3 - 8 x4 - 5 x5 + 5 x6 + 6 x7 + 4 x8 = - 6 E4 + 8 x1 - 4 x2 - 5 x3 + 8 x4 + 2 x5 - 3 x6 + 3 x7 + 8 x8 = + 275 E5 + 5 x1 + 7 x2 + 6 x3 + 8 x4 + 3 x5 - 8 x6 + 9 x7 + 2 x8 = + 174 E6 + 1 x1 - 5 x2 + 8 x3 - 6 x4 + 6 x5 - 7 x6 - 8 x6 - 4 x8 = - 95 E7 - 2 x1 + 6 x2 - 6 x3 - 7 x4 - 9 x5 - 7 x6 + 3 x6 - 6 x8 = - 59 E8 - 3 x1 + 2 x2 + 5 x3 + 2 x4 + 1 x5 - 6 x6 + 8 x6 + 7 x8 = + 89
  3. 3. 9 E1 - 5 x1 + 8 x2 - 3 x3 + 8 x4 + 8 x5 + 3 x6 + 6 x7 - 9 x8 = - 109 E2 - 6 x1 + 8 x2 - 3 x3 + 7 x4 + 8 x5 + 8 x6 + 6 x7 + 9 x8 = - 73 E3 - 6 x1 - 3 x2 - 6 x3 - 5 x4 - 2 x5 + 8 x6 - 4 x7 - 3 x8 = + 95 E4 + 3 x1 + 8 x2 + 5 x3 - 3 x4 - 3 x5 - 8 x6 + 6 x7 - 5 x8 = - 68 E5 + 8 x1 + 4 x2 + 8 x3 - 2 x4 + 8 x5 + 7 x6 - 4 x7 - 8 x8 = - 97 E6 + 5 x1 + 7 x2 + 6 x3 + 3 x4 - 7 x5 - 1 x6 + 5 x6 - 7 x8 = - 77 E7 - 1 x1 + 2 x2 + 7 x3 - 2 x4 + 3 x5 - 3 x6 - 3 x6 + 6 x8 = - 101 E8 + 8 x1 + 2 x2 - 6 x3 - 4 x4 - 3 x5 - 4 x6 + 3 x6 - 5 x8 = + 106 10 E1 - 4 x1 - 7 x2 + 5 x3 + 4 x4 - 3 x5 - 4 x6 - 8 x7 - 7 x8 = - 19 E2 - 3 x1 + 5 x2 - 3 x3 + 6 x4 - 4 x5 - 9 x6 - 6 x7 - 5 x8 = + 2 E3 + 2 x1 + 2 x2 - 1 x3 - 9 x4 - 2 x5 + 4 x6 + 5 x7 - 5 x8 = + 62 E4 - 1 x1 + 9 x2 - 2 x3 + 5 x4 - 5 x5 - 8 x6 + 3 x7 - 4 x8 = + 96 E5 - 2 x1 + 6 x2 - 2 x3 - 3 x4 - 8 x5 - 2 x6 - 5 x7 + 9 x8 = - 15 E6 - 4 x1 - 1 x2 + 4 x3 - 4 x4 - 5 x5 + 8 x6 + 4 x6 - 7 x8 = + 124 E7 + 5 x1 - 5 x2 + 1 x3 - 3 x4 + 5 x5 - 2 x6 - 6 x6 + 9 x8 = - 145 E8 + 3 x1 - 3 x2 + 1 x3 - 4 x4 - 3 x5 - 9 x6 + 6 x6 + 8 x8 = - 59 11 E1 - 3 x1 - 8 x2 - 3 x3 + 1 x4 - 6 x5 - 3 x6 + 2 x7 - 4 x8 = - 86 E2 + 8 x1 - 3 x2 + 3 x3 + 8 x4 + 9 x5 + 2 x6 - 5 x7 - 6 x8 = + 117 E3 - 3 x1 - 7 x2 - 1 x3 - 1 x4 - 8 x5 - 1 x6 - 2 x7 + 8 x8 = - 125 E4 - 8 x1 - 5 x2 + 5 x3 + 2 x4 - 4 x5 + 2 x6 - 2 x7 + 2 x8 = - 96 E5 + 8 x1 + 8 x2 + 5 x3 - 1 x4 + 2 x5 + 1 x6 + 4 x7 - 5 x8 = + 131 E6 - 3 x1 + 6 x2 + 7 x3 - 4 x4 + 5 x5 - 6 x6 + 6 x6 + 3 x8 = - 80 E7 + 5 x1 - 7 x2 + 6 x3 + 6 x4 - 4 x5 - 8 x6 + 2 x6 - 1 x8 = - 108 E8 - 1 x1 + 6 x2 + 8 x3 + 2 x4 - 6 x5 + 6 x6 - 5 x6 - 7 x8 = + 122 12 E1 + 4 x1 + 2 x2 - 7 x3 - 4 x4 - 1 x5 - 6 x6 + 6 x7 + 4 x8 = - 37 E2 + 9 x1 + 3 x2 - 2 x3 + 2 x4 - 8 x5 - 2 x6 + 1 x7 + 3 x8 = - 116 E3 - 8 x1 - 8 x2 - 4 x3 - 1 x4 - 3 x5 - 3 x6 + 7 x7 - 7 x8 = + 78 E4 + 7 x1 - 6 x2 + 5 x3 - 6 x4 - 8 x5 - 8 x6 - 3 x7 + 3 x8 = - 152 E5 - 3 x1 - 1 x2 + 9 x3 - 4 x4 - 6 x5 + 5 x6 - 2 x7 - 5 x8 = - 58 E6 - 1 x1 + 1 x2 - 7 x3 + 7 x4 + 9 x5 - 2 x6 + 8 x6 - 6 x8 = + 119 E7 - 4 x1 - 8 x2 + 4 x3 - 4 x4 + 6 x5 + 6 x6 + 9 x6 - 7 x8 = + 137 E8 + 6 x1 - 8 x2 - 9 x3 + 9 x4 - 3 x5 + 5 x6 + 8 x6 - 4 x8 = + 97
  4. 4. 13 E1 - 3 x1 - 8 x2 - 7 x3 - 4 x4 - 7 x5 + 1 x6 + 8 x7 + 3 x8 = + 36 E2 - 7 x1 + 4 x2 - 9 x3 + 7 x4 + 2 x5 - 7 x6 - 7 x7 + 6 x8 = + 165 E3 - 3 x1 + 8 x2 - 3 x3 + 5 x4 + 7 x5 - 2 x6 + 4 x7 + 4 x8 = + 43 E4 - 6 x1 - 8 x2 + 6 x3 - 4 x4 + 7 x5 + 3 x6 - 4 x7 + 7 x8 = + 181 E5 - 7 x1 - 6 x2 + 1 x3 + 4 x4 + 9 x5 + 8 x6 - 3 x7 + 5 x8 = + 208 E6 - 9 x1 + 5 x2 + 6 x3 + 4 x4 - 3 x5 - 6 x6 + 7 x6 - 4 x8 = - 157 E7 - 9 x1 + 6 x2 - 5 x3 + 3 x4 - 3 x5 + 1 x6 - 8 x6 - 9 x8 = + 50 E8 - 5 x1 - 6 x2 + 6 x3 + 9 x4 + 7 x5 + 2 x6 + 5 x6 - 8 x8 = - 95 14 E1 - 7 x1 - 2 x2 - 4 x3 - 6 x4 - 2 x5 + 2 x6 + 3 x7 + 4 x8 = - 31 E2 + 4 x1 + 4 x2 + 7 x3 - 8 x4 - 6 x5 - 3 x6 + 2 x7 + 5 x8 = - 31 E3 + 8 x1 - 7 x2 - 6 x3 - 3 x4 + 2 x5 + 8 x6 - 1 x7 + 8 x8 = - 13 E4 - 5 x1 - 7 x2 - 3 x3 + 7 x4 - 4 x5 + 6 x6 - 5 x7 + 6 x8 = - 145 E5 + 8 x1 + 4 x2 - 8 x3 + 1 x4 + 8 x5 + 7 x6 + 6 x7 + 7 x8 = + 115 E6 - 7 x1 + 2 x2 - 4 x3 + 1 x4 - 7 x5 + 6 x6 + 2 x6 + 4 x8 = - 77 E7 + 9 x1 - 8 x2 + 2 x3 + 8 x4 + 7 x5 - 3 x6 - 2 x6 - 3 x8 = + 40 E8 + 3 x1 - 4 x2 + 2 x3 - 8 x4 + 8 x5 + 8 x6 + 2 x6 - 7 x8 = + 89 15 E1 + 6 x1 + 4 x2 + 5 x3 - 8 x4 + 8 x5 - 2 x6 + 9 x7 - 4 x8 = + 69 E2 - 5 x1 + 5 x2 - 6 x3 - 3 x4 - 5 x5 - 9 x6 + 8 x7 - 9 x8 = + 32 E3 - 2 x1 + 9 x2 + 4 x3 - 8 x4 + 2 x5 - 4 x6 - 3 x7 - 2 x8 = - 49 E4 + 8 x1 + 7 x2 - 7 x3 - 9 x4 + 3 x5 - 4 x6 - 8 x7 + 4 x8 = - 10 E5 - 2 x1 - 6 x2 + 4 x3 + 7 x4 + 4 x5 + 1 x6 + 2 x7 + 3 x8 = - 60 E6 + 5 x1 + 1 x2 - 7 x3 - 6 x4 - 5 x5 - 1 x6 + 9 x6 + 2 x8 = + 120 E7 + 6 x1 - 8 x2 + 5 x3 - 6 x4 - 4 x5 - 4 x6 + 5 x6 - 5 x8 = + 87 E8 - 7 x1 - 3 x2 + 4 x3 - 5 x4 - 9 x5 + 6 x6 + 6 x6 + 8 x8 = + 43 16 E1 + 5 x1 - 4 x2 - 2 x3 - 1 x4 - 8 x5 - 2 x6 - 4 x7 - 8 x8 = + 111 E2 + 9 x1 + 3 x2 - 5 x3 + 5 x4 - 5 x5 - 2 x6 + 8 x7 + 5 x8 = + 57 E3 + 4 x1 - 8 x2 - 8 x3 - 4 x4 - 7 x5 + 6 x6 - 3 x7 - 2 x8 = + 164 E4 + 2 x1 + 5 x2 + 5 x3 - 2 x4 + 3 x5 + 5 x6 + 3 x7 + 4 x8 = - 41 E5 - 3 x1 - 6 x2 - 8 x3 + 4 x4 + 8 x5 + 8 x6 - 8 x7 - 7 x8 = + 72 E6 - 4 x1 - 2 x2 + 7 x3 - 3 x4 - 9 x5 + 4 x6 - 8 x6 + 9 x8 = - 36 E7 + 6 x1 + 3 x2 - 5 x3 + 6 x4 - 8 x5 - 9 x6 + 1 x6 - 2 x8 = + 50 E8 + 7 x1 + 6 x2 + 2 x3 - 9 x4 + 6 x5 - 7 x6 - 8 x6 - 5 x8 = + 15
  5. 5. 17 E1 + 8 x1 - 5 x2 + 1 x3 - 4 x4 + 4 x5 - 4 x6 - 2 x7 - 8 x8 = - 110 E2 - 4 x1 - 3 x2 - 1 x3 - 5 x4 + 1 x5 + 8 x6 - 5 x7 + 4 x8 = + 11 E3 - 5 x1 + 9 x2 + 2 x3 - 1 x4 - 2 x5 - 6 x6 + 3 x7 + 2 x8 = + 38 E4 - 9 x1 - 1 x2 + 7 x3 - 7 x4 - 6 x5 + 5 x6 + 5 x7 - 4 x8 = + 66 E5 - 8 x1 + 8 x2 - 9 x3 + 8 x4 - 5 x5 - 7 x6 + 2 x7 + 4 x8 = + 158 E6 + 3 x1 - 5 x2 - 8 x3 - 8 x4 + 6 x5 - 9 x6 - 3 x6 - 3 x8 = - 105 E7 + 7 x1 - 6 x2 + 3 x3 - 2 x4 + 6 x5 + 5 x6 + 6 x6 + 9 x8 = - 166 E8 - 8 x1 - 6 x2 - 8 x3 + 4 x4 + 7 x5 + 4 x6 - 4 x6 - 2 x8 = + 106 18 E1 + 5 x1 - 1 x2 + 7 x3 + 5 x4 + 2 x5 + 3 x6 + 3 x7 - 4 x8 = + 78 E2 + 9 x1 + 5 x2 + 8 x3 + 4 x4 + 5 x5 + 8 x6 + 8 x7 - 9 x8 = + 163 E3 - 4 x1 + 6 x2 + 8 x3 - 3 x4 + 9 x5 + 5 x6 - 2 x7 + 9 x8 = - 98 E4 - 3 x1 - 3 x2 + 4 x3 - 4 x4 + 4 x5 - 8 x6 + 1 x7 + 3 x8 = - 115 E5 + 2 x1 - 4 x2 + 8 x3 - 6 x4 - 6 x5 + 7 x6 - 7 x7 - 8 x8 = + 13 E6 - 2 x1 - 5 x2 - 6 x3 - 8 x4 + 6 x5 + 3 x6 + 8 x6 + 5 x8 = - 70 E7 + 3 x1 + 5 x2 - 8 x3 - 3 x4 - 3 x5 + 4 x6 - 5 x6 + 2 x8 = + 31 E8 - 1 x1 + 3 x2 + 3 x3 - 8 x4 + 4 x5 - 5 x6 + 3 x6 - 4 x8 = - 54 19 E1 - 7 x1 - 8 x2 - 6 x3 - 3 x4 - 8 x5 + 7 x6 - 3 x7 - 6 x8 = + 48 E2 + 8 x1 - 3 x2 + 8 x3 + 3 x4 - 3 x5 - 1 x6 + 5 x7 - 3 x8 = - 17 E3 + 2 x1 - 9 x2 - 8 x3 + 6 x4 - 5 x5 + 2 x6 + 5 x7 - 9 x8 = + 169 E4 + 1 x1 - 2 x2 + 4 x3 + 5 x4 - 5 x5 - 4 x6 + 2 x7 + 5 x8 = - 73 E5 - 8 x1 - 6 x2 + 2 x3 + 1 x4 - 6 x5 + 2 x6 + 7 x7 + 3 x8 = - 135 E6 + 6 x1 + 5 x2 + 5 x3 + 3 x4 - 7 x5 + 8 x6 + 8 x6 + 4 x8 = - 149 E7 + 4 x1 - 7 x2 + 7 x3 - 4 x4 + 9 x5 + 2 x6 - 9 x6 - 1 x8 = + 90 E8 - 8 x1 - 9 x2 + 3 x3 + 2 x4 + 1 x5 - 3 x6 - 6 x6 + 3 x8 = + 1 20 E1 - 4 x1 + 4 x2 + 3 x3 - 2 x4 - 3 x5 - 8 x6 + 9 x7 + 7 x8 = + 34 E2 + 5 x1 - 2 x2 - 6 x3 - 8 x4 - 6 x5 - 6 x6 - 2 x7 + 2 x8 = - 13 E3 - 2 x1 + 8 x2 + 7 x3 - 6 x4 - 2 x5 + 3 x6 + 9 x7 + 4 x8 = + 73 E4 + 4 x1 - 8 x2 + 2 x3 - 6 x4 - 6 x5 + 9 x6 - 6 x7 - 3 x8 = - 41 E5 + 8 x1 - 7 x2 - 5 x3 - 1 x4 + 8 x5 + 4 x6 - 2 x7 + 3 x8 = - 65 E6 - 9 x1 - 7 x2 - 4 x3 - 6 x4 + 3 x5 - 2 x6 + 7 x6 - 2 x8 = + 2 E7 - 5 x1 - 7 x2 - 5 x3 + 6 x4 - 4 x5 - 4 x6 - 5 x6 - 7 x8 = - 63 E8 + 7 x1 - 4 x2 - 6 x3 + 2 x4 - 9 x5 + 4 x6 - 3 x6 + 8 x8 = - 142
  6. 6. 21 E1 + 8 x1 + 9 x2 + 6 x3 + 8 x4 - 2 x5 - 1 x6 - 8 x7 + 6 x8 = - 109 E2 - 3 x1 - 6 x2 + 4 x3 + 6 x4 - 3 x5 - 2 x6 - 6 x7 + 6 x8 = - 55 E3 + 2 x1 - 6 x2 + 4 x3 + 7 x4 - 4 x5 - 5 x6 + 1 x7 + 3 x8 = - 139 E4 + 3 x1 - 3 x2 + 3 x3 + 7 x4 - 3 x5 - 5 x6 + 5 x7 + 5 x8 = - 162 E5 - 4 x1 + 3 x2 - 9 x3 - 2 x4 + 9 x5 - 9 x6 - 4 x7 + 8 x8 = - 16 E6 - 6 x1 - 2 x2 + 4 x3 - 5 x4 + 9 x5 + 8 x6 + 5 x6 - 2 x8 = + 8 E7 - 5 x1 + 3 x2 - 5 x3 - 7 x4 - 1 x5 + 8 x6 - 3 x6 - 4 x8 = + 237 E8 + 7 x1 - 3 x2 + 4 x3 + 2 x4 - 1 x5 - 4 x6 - 4 x6 - 5 x8 = - 97 22 E1 + 3 x1 + 1 x2 - 7 x3 + 1 x4 + 6 x5 - 3 x6 + 2 x7 - 6 x8 = - 88 E2 + 5 x1 - 6 x2 - 9 x3 - 3 x4 + 5 x5 - 3 x6 - 8 x7 - 8 x8 = - 38 E3 + 8 x1 - 7 x2 + 5 x3 + 4 x4 - 2 x5 + 2 x6 - 8 x7 + 2 x8 = - 26 E4 - 4 x1 + 2 x2 + 7 x3 - 4 x4 + 5 x5 + 3 x6 - 1 x7 - 6 x8 = - 55 E5 + 9 x1 - 4 x2 - 5 x3 - 9 x4 + 8 x5 + 7 x6 - 2 x7 + 5 x8 = + 103 E6 + 4 x1 + 2 x2 - 6 x3 + 4 x4 - 3 x5 + 5 x6 + 2 x6 + 6 x8 = + 60 E7 + 7 x1 - 1 x2 - 2 x3 + 4 x4 + 4 x5 - 5 x6 - 5 x6 + 7 x8 = - 89 E8 - 7 x1 - 6 x2 + 2 x3 - 7 x4 + 3 x5 - 3 x6 + 6 x6 - 9 x8 = + 63 23 E1 + 1 x1 - 4 x2 + 4 x3 - 6 x4 - 5 x5 + 4 x6 + 8 x7 - 2 x8 = + 61 E2 - 3 x1 - 4 x2 + 5 x3 + 6 x4 - 4 x5 - 8 x6 - 8 x7 + 4 x8 = + 9 E3 + 5 x1 + 8 x2 + 3 x3 - 1 x4 - 9 x5 - 7 x6 + 9 x7 - 3 x8 = - 168 E4 - 3 x1 - 2 x2 + 1 x3 + 8 x4 + 4 x5 + 3 x6 + 6 x7 - 5 x8 = - 74 E5 + 6 x1 - 7 x2 - 9 x3 - 6 x4 - 8 x5 + 6 x6 + 7 x7 + 2 x8 = + 136 E6 + 2 x1 - 2 x2 + 2 x3 + 7 x4 - 4 x5 - 8 x6 - 6 x6 - 4 x8 = - 108 E7 + 9 x1 - 2 x2 + 8 x3 + 3 x4 + 7 x5 + 3 x6 - 8 x6 + 6 x8 = - 41 E8 - 4 x1 - 9 x2 - 9 x3 + 9 x4 - 2 x5 + 3 x6 + 5 x6 + 1 x8 = + 75 24 E1 + 8 x1 - 8 x2 + 2 x3 + 2 x4 - 5 x5 - 9 x6 + 3 x7 - 2 x8 = - 34 E2 + 3 x1 + 7 x2 - 3 x3 - 8 x4 + 2 x5 + 4 x6 + 5 x7 - 9 x8 = - 13 E3 - 3 x1 - 4 x2 - 3 x3 - 8 x4 - 5 x5 - 2 x6 - 3 x7 + 1 x8 = - 110 E4 - 3 x1 - 6 x2 + 5 x3 - 8 x4 + 3 x5 + 6 x6 + 7 x7 + 3 x8 = - 168 E5 + 4 x1 + 2 x2 - 6 x3 - 7 x4 + 9 x5 + 3 x6 - 8 x7 + 8 x8 = + 113 E6 + 5 x1 + 2 x2 + 2 x3 + 6 x4 - 1 x5 + 4 x6 - 8 x6 + 6 x8 = + 119 E7 + 5 x1 - 4 x2 - 9 x3 - 9 x4 - 3 x5 - 8 x6 - 7 x6 - 3 x8 = - 5 E8 + 3 x1 - 1 x2 - 4 x3 + 7 x4 + 3 x5 + 4 x6 + 4 x6 + 4 x8 = + 56
  7. 7. 25 E1 - 7 x1 + 5 x2 + 6 x3 - 4 x4 + 2 x5 + 4 x6 + 1 x7 - 6 x8 = - 58 E2 - 8 x1 - 3 x2 + 1 x3 - 3 x4 + 3 x5 + 8 x6 + 6 x7 - 2 x8 = - 48 E3 + 7 x1 - 4 x2 + 8 x3 + 7 x4 - 8 x5 - 6 x6 + 5 x7 - 3 x8 = + 70 E4 + 6 x1 + 9 x2 + 7 x3 + 2 x4 + 8 x5 - 7 x6 + 7 x7 - 2 x8 = + 87 E5 - 2 x1 - 1 x2 - 4 x3 + 8 x4 - 4 x5 - 8 x6 + 8 x7 - 7 x8 = + 82 E6 - 4 x1 + 3 x2 + 8 x3 - 4 x4 + 1 x5 + 3 x6 - 5 x6 - 2 x8 = - 69 E7 + 2 x1 + 8 x2 + 4 x3 - 8 x4 - 6 x5 + 9 x6 - 9 x6 + 8 x8 = - 145 E8 - 4 x1 + 4 x2 - 5 x3 + 4 x4 + 4 x5 + 3 x6 + 6 x6 + 3 x8 = + 1 26 E1 + 8 x1 + 7 x2 - 3 x3 - 5 x4 + 2 x5 - 7 x6 + 2 x7 - 7 x8 = - 65 E2 - 1 x1 - 5 x2 + 7 x3 + 5 x4 + 5 x5 - 4 x6 - 4 x7 - 3 x8 = + 7 E3 + 1 x1 + 6 x2 - 4 x3 - 8 x4 - 2 x5 - 8 x6 + 4 x7 - 4 x8 = - 36 E4 + 7 x1 - 6 x2 - 8 x3 + 3 x4 + 3 x5 + 7 x6 + 6 x7 - 6 x8 = - 53 E5 + 2 x1 + 7 x2 - 7 x3 + 4 x4 + 4 x5 - 2 x6 + 2 x7 + 3 x8 = - 78 E6 - 4 x1 + 7 x2 - 6 x3 - 4 x4 - 3 x5 - 2 x6 - 7 x6 + 2 x8 = + 59 E7 + 8 x1 + 8 x2 - 8 x3 + 5 x4 - 4 x5 - 3 x6 - 5 x6 - 2 x8 = + 16 E8 - 7 x1 - 7 x2 - 6 x3 + 2 x4 - 8 x5 + 5 x6 + 4 x6 + 6 x8 = + 36 27 E1 - 8 x1 + 2 x2 - 3 x3 - 7 x4 + 9 x5 + 1 x6 - 7 x7 - 2 x8 = + 131 E2 - 4 x1 + 1 x2 - 5 x3 - 7 x4 - 3 x5 - 5 x6 + 5 x7 + 8 x8 = + 105 E3 + 5 x1 + 4 x2 + 6 x3 - 1 x4 - 7 x5 - 2 x6 - 1 x7 + 6 x8 = - 60 E4 - 4 x1 - 6 x2 + 6 x3 - 3 x4 + 9 x5 + 4 x6 + 6 x7 + 3 x8 = + 112 E5 + 3 x1 - 2 x2 - 4 x3 - 7 x4 - 3 x5 - 3 x6 - 8 x7 - 9 x8 = - 30 E6 - 7 x1 - 4 x2 - 6 x3 - 7 x4 - 3 x5 + 1 x6 + 3 x6 - 4 x8 = + 51 E7 - 3 x1 - 2 x2 - 6 x3 - 2 x4 - 4 x5 - 9 x6 + 3 x6 + 2 x8 = + 70 E8 + 9 x1 + 8 x2 - 4 x3 - 7 x4 + 6 x5 - 4 x6 + 7 x6 - 1 x8 = - 83 28 E1 + 7 x1 + 3 x2 + 9 x3 + 6 x4 - 3 x5 - 6 x6 - 7 x7 - 5 x8 = - 43 E2 - 5 x1 + 5 x2 + 4 x3 + 8 x4 + 9 x5 - 2 x6 + 1 x7 + 6 x8 = - 110 E3 + 1 x1 + 9 x2 + 6 x3 - 5 x4 + 7 x5 + 6 x6 - 1 x7 + 4 x8 = - 32 E4 + 1 x1 - 8 x2 - 6 x3 + 2 x4 - 3 x5 + 7 x6 - 2 x7 - 5 x8 = + 174 E5 - 4 x1 + 2 x2 - 2 x3 - 4 x4 - 8 x5 + 7 x6 + 4 x7 - 2 x8 = - 38 E6 + 4 x1 + 2 x2 + 3 x3 + 9 x4 + 9 x5 + 5 x6 + 9 x6 - 5 x8 = + 42 E7 + 4 x1 + 3 x2 - 6 x3 + 7 x4 - 2 x5 - 5 x6 - 5 x6 + 6 x8 = - 19 E8 - 2 x1 + 4 x2 + 4 x3 + 6 x4 + 7 x5 - 7 x6 + 5 x6 - 8 x8 = - 51
  8. 8. 29 E1 - 8 x1 - 2 x2 - 2 x3 + 6 x4 - 5 x5 - 6 x6 + 2 x7 + 5 x8 = + 25 E2 - 7 x1 - 6 x2 - 7 x3 - 5 x4 + 3 x5 - 6 x6 - 5 x7 + 3 x8 = - 28 E3 - 1 x1 - 4 x2 - 7 x3 - 6 x4 - 6 x5 - 5 x6 - 2 x7 - 1 x8 = - 124 E4 + 3 x1 + 3 x2 + 3 x3 - 9 x4 - 6 x5 - 5 x6 - 2 x7 + 5 x8 = - 130 E5 + 5 x1 - 2 x2 - 5 x3 + 6 x4 + 3 x5 - 1 x6 + 8 x7 - 5 x8 = + 37 E6 - 4 x1 + 7 x2 + 2 x3 + 4 x4 + 9 x5 + 4 x6 + 1 x6 - 5 x8 = + 94 E7 + 4 x1 - 1 x2 + 6 x3 - 6 x4 - 3 x5 + 9 x6 - 9 x6 + 4 x8 = - 28 E8 + 6 x1 - 7 x2 + 8 x3 + 6 x4 - 1 x5 - 2 x6 - 9 x6 - 4 x8 = - 12 30 E1 + 6 x1 - 8 x2 - 9 x3 + 6 x4 + 7 x5 - 8 x6 + 7 x7 + 8 x8 = - 22 E2 + 9 x1 + 9 x2 + 4 x3 - 5 x4 + 3 x5 - 8 x6 + 3 x7 + 3 x8 = - 27 E3 - 3 x1 - 7 x2 + 8 x3 + 8 x4 - 1 x5 - 2 x6 + 3 x7 - 6 x8 = + 8 E4 - 7 x1 + 4 x2 + 8 x3 - 3 x4 - 6 x5 + 9 x6 + 2 x7 - 6 x8 = + 28 E5 + 9 x1 - 2 x2 - 5 x3 + 3 x4 - 2 x5 - 5 x6 + 4 x7 + 2 x8 = - 18 E6 - 2 x1 + 8 x2 + 3 x3 - 3 x4 - 4 x5 - 6 x6 - 4 x6 - 4 x8 = + 51 E7 - 4 x1 - 2 x2 + 8 x3 + 4 x4 + 2 x5 + 8 x6 + 8 x6 - 4 x8 = - 32 E8 - 7 x1 + 6 x2 + 7 x3 - 2 x4 - 7 x5 - 3 x6 + 6 x6 + 4 x8 = + 73 31 E1 + 6 x1 + 2 x2 + 4 x3 + 3 x4 + 4 x5 - 3 x6 - 8 x7 + 2 x8 = - 58 E2 + 6 x1 - 5 x2 - 9 x3 + 8 x4 + 4 x5 + 6 x6 + 5 x7 - 5 x8 = + 73 E3 + 7 x1 - 6 x2 + 5 x3 - 2 x4 + 2 x5 + 7 x6 + 7 x7 - 5 x8 = + 81 E4 + 6 x1 - 8 x2 - 7 x3 + 1 x4 + 8 x5 - 4 x6 - 2 x7 - 2 x8 = - 22 E5 - 5 x1 - 3 x2 + 4 x3 + 6 x4 + 7 x5 + 7 x6 - 3 x7 + 5 x8 = - 91 E6 - 3 x1 - 2 x2 + 2 x3 + 7 x4 + 8 x5 + 1 x6 - 2 x6 - 4 x8 = - 136 E7 - 6 x1 + 2 x2 + 3 x3 - 6 x4 + 8 x5 - 8 x6 + 4 x6 - 6 x8 = - 138 E8 - 5 x1 - 5 x2 + 9 x3 + 8 x4 + 3 x5 - 9 x6 + 5 x6 - 1 x8 = - 229 32 E1 - 4 x1 + 2 x2 - 8 x3 + 3 x4 + 9 x5 - 7 x6 + 6 x7 + 6 x8 = + 22 E2 - 5 x1 - 5 x2 - 3 x3 + 2 x4 + 5 x5 - 5 x6 + 8 x7 + 1 x8 = - 84 E3 - 2 x1 + 4 x2 - 5 x3 - 5 x4 + 5 x5 - 3 x6 - 7 x7 + 7 x8 = + 73 E4 - 6 x1 + 8 x2 + 3 x3 - 5 x4 + 2 x5 + 2 x6 + 5 x7 + 9 x8 = + 53 E5 - 3 x1 - 6 x2 - 2 x3 + 7 x4 + 8 x5 + 7 x6 - 5 x7 + 2 x8 = - 29 E6 + 5 x1 - 5 x2 - 3 x3 + 5 x4 + 3 x5 + 5 x6 + 9 x6 - 3 x8 = - 93 E7 + 6 x1 + 3 x2 - 4 x3 - 7 x4 + 6 x5 - 2 x6 + 6 x6 + 5 x8 = - 8 E8 + 5 x1 - 1 x2 + 1 x3 - 3 x4 - 6 x5 + 6 x6 + 5 x6 - 7 x8 = - 85

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