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Sistemas 7x7

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Edgar Mata
Edgar Mata

Sistemas de 7 ecuaciones y 7 incognitas con soluciones enteras o un sólo decimal.

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1 E1 + 4 x1 - 7 x2 + 7 x3 + 7 x4 - 8 x5 - 4 x6 + 4 x7 = - 1 E2 + 2 x1 + 8 x2 + 2 x3 + 3 x4 - 6 x5 + 2 x6 - 2 x7 = + 82 E3 - 6 x1 + 7 x2 - 4 x3 - 9 x4 + 9 x5 + 7 x6 + 7 x7 = + 51 E4 - 6 x1 + 7 x2 + 2 x3 + 6 x4 + 3 x5 - 4 x6 + 8 x7 = + 90 E5 - 8 x1 - 2 x2 - 7 x3 + 4 x4 + 8 x5 - 4 x6 + 1 x7 = - 36 E6 + 9 x1 + 4 x2 + 3 x3 - 6 x4 + 6 x5 + 7 x6 - 3 x6 = - 72 E7 + 2 x1 - 8 x2 + 5 x3 + 3 x4 + 6 x5 - 4 x6 + 4 x6 = - 103 2 E1 + 3 x1 + 1 x2 + 5 x3 + 6 x4 + 2 x5 - 5 x6 - 3 x7 = + 14 E2 - 3 x1 + 7 x2 + 8 x3 - 9 x4 - 6 x5 - 3 x6 + 5 x7 = - 136 E3 - 5 x1 - 8 x2 - 5 x3 + 8 x4 - 2 x5 + 7 x6 - 2 x7 = + 88 E4 - 9 x1 + 4 x2 - 6 x3 + 2 x4 - 3 x5 + 7 x6 + 7 x7 = + 15 E5 + 7 x1 - 3 x2 - 3 x3 - 8 x4 - 2 x5 - 8 x6 - 9 x7 = - 18 E6 - 6 x1 - 6 x2 + 9 x3 - 8 x4 + 8 x5 - 6 x6 - 2 x6 = + 126 E7 + 5 x1 + 3 x2 + 4 x3 + 4 x4 - 2 x5 - 8 x6 - 6 x6 = - 38 3 E1 + 6 x1 - 1 x2 - 9 x3 - 2 x4 + 3 x5 - 4 x6 + 8 x7 = + 25 E2 - 2 x1 + 2 x2 + 6 x3 - 5 x4 + 6 x5 - 3 x6 - 2 x7 = + 6 E3 + 2 x1 + 5 x2 + 8 x3 + 2 x4 - 5 x5 + 8 x6 + 2 x7 = - 112 E4 + 5 x1 - 6 x2 + 2 x3 - 1 x4 + 3 x5 + 7 x6 + 2 x7 = - 128 E5 + 5 x1 + 3 x2 + 7 x3 + 5 x4 + 4 x5 - 5 x6 - 9 x7 = + 10 E6 - 2 x1 + 7 x2 + 4 x3 - 8 x4 - 7 x5 - 6 x6 - 2 x6 = + 96 E7 + 3 x1 - 8 x2 - 5 x3 + 7 x4 - 4 x5 - 6 x6 + 9 x6 = - 12 4 E1 + 9 x1 + 2 x2 + 8 x3 - 7 x4 - 7 x5 - 2 x6 - 8 x7 = - 49 E2 - 2 x1 + 7 x2 - 5 x3 + 3 x4 - 9 x5 - 3 x6 - 1 x7 = + 2 E3 - 7 x1 - 1 x2 + 6 x3 + 7 x4 + 6 x5 + 6 x6 - 8 x7 = + 135 E4 + 2 x1 + 6 x2 - 4 x3 - 6 x4 - 4 x5 - 6 x6 - 8 x7 = - 48 E5 - 2 x1 - 8 x2 + 5 x3 - 8 x4 - 2 x5 + 2 x6 + 4 x7 = - 140 E6 - 2 x1 - 5 x2 + 8 x3 + 4 x4 + 3 x5 - 3 x6 + 2 x6 = + 7 E7 + 5 x1 - 8 x2 - 2 x3 + 6 x4 + 6 x5 + 6 x6 + 8 x6 = + 46
5 E1 + 7 x1 - 4 x2 + 2 x3 + 1 x4 + 8 x5 + 6 x6 - 7 x7 = - 23 E2 + 7 x1 + 1 x2 + 9 x3 + 2 x4 - 3 x5 + 4 x6 + 5 x7 = - 5 E3 + 2 x1 - 1 x2 + 4 x3 + 7 x4 + 3 x5 - 6 x6 - 5 x7 = - 50 E4 - 4 x1 + 9 x2 + 3 x3 - 9 x4 - 5 x5 + 3 x6 - 5 x7 = - 111 E5 - 5 x1 - 8 x2 + 9 x3 - 5 x4 - 7 x5 - 6 x6 + 2 x7 = + 28 E6 - 7 x1 + 4 x2 - 6 x3 - 6 x4 - 9 x5 + 3 x6 - 2 x6 = + 30 E7 + 2 x1 - 1 x2 + 3 x3 + 6 x4 - 8 x5 - 5 x6 + 7 x6 = + 47 6 E1 - 7 x1 - 6 x2 + 6 x3 - 2 x4 + 8 x5 + 5 x6 - 6 x7 = - 70 E2 + 1 x1 - 7 x2 + 1 x3 + 2 x4 + 2 x5 + 4 x6 - 4 x7 = - 65 E3 - 4 x1 - 9 x2 - 7 x3 - 7 x4 - 5 x5 + 4 x6 + 3 x7 = + 25 E4 + 4 x1 + 1 x2 + 2 x3 + 3 x4 - 7 x5 + 5 x6 + 2 x7 = + 91 E5 - 8 x1 - 6 x2 - 6 x3 - 2 x4 - 6 x5 + 7 x6 + 2 x7 = + 14 E6 - 4 x1 + 4 x2 - 6 x3 - 8 x4 + 5 x5 + 3 x6 + 4 x6 = + 88 E7 - 1 x1 - 7 x2 + 7 x3 - 3 x4 + 2 x5 - 9 x6 + 9 x6 = - 9 7 E1 - 9 x1 - 3 x2 + 7 x3 - 8 x4 - 4 x5 - 6 x6 + 1 x7 = - 110 E2 - 8 x1 + 4 x2 - 2 x3 + 7 x4 - 7 x5 - 7 x6 - 6 x7 = - 62 E3 + 6 x1 + 1 x2 + 7 x3 + 5 x4 - 7 x5 + 5 x6 - 7 x7 = + 79 E4 - 5 x1 + 3 x2 - 4 x3 + 4 x4 - 5 x5 + 5 x6 - 2 x7 = + 17 E5 - 2 x1 + 4 x2 + 6 x3 + 9 x4 - 3 x5 + 9 x6 + 6 x7 = - 74 E6 - 7 x1 - 6 x2 + 2 x3 + 1 x4 + 7 x5 + 7 x6 + 6 x6 = - 143 E7 - 5 x1 - 4 x2 + 6 x3 - 8 x4 + 7 x5 + 5 x6 + 2 x6 = - 50 8 E1 - 4 x1 + 4 x2 + 9 x3 - 6 x4 - 4 x5 - 3 x6 - 5 x7 = - 154 E2 - 4 x1 + 9 x2 + 6 x3 - 6 x4 - 2 x5 + 5 x6 + 7 x7 = - 9 E3 - 6 x1 + 4 x2 + 3 x3 + 1 x4 + 3 x5 + 2 x6 + 9 x7 = + 30 E4 - 4 x1 + 5 x2 - 5 x3 - 6 x4 + 5 x5 - 5 x6 - 4 x7 = - 53 E5 - 3 x1 + 2 x2 + 6 x3 + 3 x4 - 4 x5 - 5 x6 - 3 x7 = - 102 E6 - 6 x1 - 1 x2 + 4 x3 + 2 x4 - 7 x5 - 6 x6 - 6 x6 = - 141 E7 + 5 x1 - 8 x2 - 7 x3 - 5 x4 - 8 x5 - 7 x6 + 7 x6 = + 82
9 E1 - 9 x1 + 3 x2 - 9 x3 - 2 x4 + 3 x5 - 4 x6 - 9 x7 = - 50 E2 + 2 x1 + 6 x2 + 4 x3 + 5 x4 + 4 x5 + 7 x6 - 3 x7 = + 3 E3 + 7 x1 + 7 x2 + 5 x3 - 8 x4 + 7 x5 + 2 x6 - 5 x7 = - 104 E4 + 4 x1 + 9 x2 + 2 x3 - 4 x4 - 5 x5 + 3 x6 - 6 x7 = - 29 E5 + 4 x1 - 6 x2 + 7 x3 - 9 x4 + 5 x5 - 3 x6 + 2 x7 = - 71 E6 + 4 x1 + 5 x2 - 4 x3 + 6 x4 + 7 x5 - 3 x6 + 7 x6 = + 18 E7 - 5 x1 - 7 x2 + 5 x3 + 8 x4 - 4 x5 + 6 x6 + 8 x6 = + 147 10 E1 - 1 x1 + 6 x2 + 2 x3 - 6 x4 - 6 x5 - 4 x6 - 5 x7 = + 4 E2 - 6 x1 + 3 x2 - 2 x3 + 8 x4 + 8 x5 - 9 x6 + 3 x7 = - 61 E3 - 6 x1 - 6 x2 - 4 x3 - 1 x4 - 8 x5 + 9 x6 + 6 x7 = + 39 E4 - 8 x1 + 2 x2 + 2 x3 + 4 x4 + 2 x5 - 2 x6 - 7 x7 = - 121 E5 + 3 x1 - 4 x2 - 8 x3 - 1 x4 + 2 x5 - 2 x6 + 6 x7 = + 68 E6 + 5 x1 - 5 x2 + 7 x3 + 4 x4 + 3 x5 + 8 x6 - 3 x6 = - 18 E7 - 4 x1 + 3 x2 - 5 x3 + 4 x4 + 8 x5 + 7 x6 - 7 x6 = - 215 11 E1 + 2 x1 + 3 x2 - 7 x3 - 2 x4 - 4 x5 + 5 x6 + 2 x7 = - 55 E2 - 3 x1 + 3 x2 + 5 x3 - 6 x4 + 7 x5 - 3 x6 - 3 x7 = - 27 E3 - 5 x1 - 6 x2 - 3 x3 + 7 x4 - 5 x5 + 4 x6 - 8 x7 = + 32 E4 + 6 x1 - 5 x2 - 2 x3 + 8 x4 - 7 x5 + 7 x6 + 8 x7 = + 20 E5 + 3 x1 + 9 x2 - 8 x3 - 6 x4 + 4 x5 - 3 x6 - 5 x7 = - 24 E6 - 6 x1 - 7 x2 + 4 x3 - 7 x4 - 8 x5 + 5 x6 - 6 x6 = - 69 E7 - 4 x1 + 9 x2 - 5 x3 + 6 x4 + 9 x5 + 7 x6 - 9 x6 = + 7 12 E1 - 5 x1 - 5 x2 + 5 x3 - 5 x4 + 3 x5 + 4 x6 - 5 x7 = - 11 E2 + 4 x1 + 7 x2 + 5 x3 - 7 x4 - 4 x5 + 9 x6 + 4 x7 = - 60 E3 + 5 x1 - 2 x2 + 5 x3 - 6 x4 - 2 x5 + 2 x6 - 2 x7 = - 32 E4 + 2 x1 - 4 x2 - 6 x3 - 4 x4 + 5 x5 - 7 x6 + 2 x7 = + 89 E5 + 3 x1 - 2 x2 - 8 x3 - 2 x4 - 8 x5 + 9 x6 - 3 x7 = - 12 E6 + 9 x1 + 2 x2 - 3 x3 + 9 x4 - 5 x5 + 6 x6 - 2 x6 = - 7 E7 + 7 x1 - 6 x2 - 1 x3 + 3 x4 - 4 x5 - 7 x6 - 5 x6 = - 10
13 E1 + 8 x1 + 1 x2 - 5 x3 - 4 x4 + 9 x5 - 6 x6 - 8 x7 = + 111 E2 + 2 x1 - 8 x2 + 2 x3 - 5 x4 - 5 x5 + 2 x6 - 6 x7 = + 32 E3 - 5 x1 - 6 x2 - 4 x3 - 7 x4 - 4 x5 - 5 x6 + 5 x7 = - 102 E4 + 2 x1 + 8 x2 + 7 x3 + 3 x4 - 6 x5 + 7 x6 - 7 x7 = + 27 E5 + 7 x1 - 5 x2 - 5 x3 + 6 x4 + 9 x5 - 5 x6 - 4 x7 = + 126 E6 + 3 x1 - 8 x2 + 4 x3 - 4 x4 + 7 x5 - 3 x6 + 5 x6 = + 108 E7 + 2 x1 + 8 x2 - 5 x3 - 1 x4 - 8 x5 + 8 x6 + 6 x6 = - 130 14 E1 + 8 x1 - 3 x2 - 2 x3 + 5 x4 - 6 x5 + 3 x6 - 3 x7 = + 47 E2 - 3 x1 + 6 x2 - 6 x3 + 2 x4 + 8 x5 + 1 x6 - 4 x7 = + 18 E3 + 5 x1 + 7 x2 + 3 x3 - 3 x4 + 5 x5 + 8 x6 + 5 x7 = + 45 E4 - 3 x1 - 8 x2 + 8 x3 + 4 x4 - 4 x5 - 3 x6 - 4 x7 = - 112 E5 - 4 x1 + 3 x2 - 7 x3 + 5 x4 + 8 x5 - 7 x6 + 2 x7 = + 9 E6 - 1 x1 - 6 x2 + 8 x3 - 7 x4 + 7 x5 - 3 x6 - 8 x6 = - 130 E7 + 2 x1 + 1 x2 - 3 x3 - 1 x4 - 3 x5 + 5 x6 - 8 x6 = + 34 15 E1 - 5 x1 + 8 x2 + 3 x3 + 6 x4 - 2 x5 - 9 x6 - 8 x7 = + 83 E2 + 9 x1 + 4 x2 - 8 x3 + 2 x4 + 3 x5 - 7 x6 - 7 x7 = + 67 E3 + 6 x1 + 9 x2 - 1 x3 + 3 x4 + 5 x5 + 2 x6 + 6 x7 = + 6 E4 - 7 x1 + 3 x2 + 2 x3 + 1 x4 - 5 x5 + 7 x6 - 7 x7 = + 90 E5 - 6 x1 - 6 x2 - 2 x3 - 3 x4 - 4 x5 - 3 x6 - 8 x7 = + 33 E6 + 4 x1 - 6 x2 + 8 x3 - 7 x4 - 9 x5 + 6 x6 + 4 x6 = - 147 E7 + 4 x1 + 3 x2 + 4 x3 + 7 x4 - 8 x5 - 5 x6 + 8 x6 = - 30 16 E1 - 3 x1 + 5 x2 + 4 x3 + 2 x4 - 2 x5 + 8 x6 + 8 x7 = - 41 E2 - 2 x1 - 1 x2 - 8 x3 + 5 x4 + 5 x5 + 5 x6 - 4 x7 = + 41 E3 + 9 x1 + 9 x2 + 2 x3 - 6 x4 - 3 x5 + 2 x6 - 6 x7 = - 11 E4 + 6 x1 - 3 x2 + 3 x3 - 2 x4 - 1 x5 - 3 x6 - 9 x7 = + 7 E5 + 7 x1 - 8 x2 - 6 x3 - 4 x4 + 8 x5 + 1 x6 - 4 x7 = + 169 E6 - 4 x1 - 8 x2 - 6 x3 + 5 x4 - 5 x5 - 1 x6 - 9 x6 = + 2 E7 - 1 x1 + 3 x2 + 3 x3 + 5 x4 - 5 x5 - 7 x6 - 2 x6 = - 104
17 E1 - 5 x1 - 2 x2 + 7 x3 + 1 x4 - 8 x5 + 8 x6 - 3 x7 = + 93 E2 - 4 x1 + 5 x2 - 8 x3 - 6 x4 + 2 x5 - 8 x6 + 2 x7 = - 85 E3 - 4 x1 - 4 x2 + 2 x3 - 3 x4 + 4 x5 - 7 x6 + 3 x7 = - 58 E4 + 7 x1 - 2 x2 + 7 x3 + 4 x4 - 3 x5 + 4 x6 + 5 x7 = + 49 E5 - 5 x1 - 5 x2 - 8 x3 - 4 x4 + 4 x5 + 5 x6 - 8 x7 = - 30 E6 - 6 x1 + 5 x2 + 2 x3 - 3 x4 - 8 x5 + 2 x6 + 4 x6 = + 17 E7 - 2 x1 + 9 x2 - 5 x3 - 7 x4 - 4 x5 - 7 x6 + 3 x6 = - 17 18 E1 + 4 x1 - 7 x2 + 3 x3 + 2 x4 - 7 x5 - 5 x6 - 4 x7 = + 1 E2 - 6 x1 - 8 x2 - 1 x3 + 4 x4 + 6 x5 + 3 x6 + 5 x7 = - 43 E3 + 6 x1 - 5 x2 - 2 x3 - 1 x4 - 2 x5 - 5 x6 - 8 x7 = - 110 E4 - 7 x1 - 7 x2 - 3 x3 - 4 x4 - 4 x5 - 8 x6 - 2 x7 = - 27 E5 + 2 x1 - 5 x2 - 4 x3 - 9 x4 + 2 x5 + 6 x6 + 4 x7 = - 111 E6 - 2 x1 + 1 x2 + 4 x3 + 3 x4 + 6 x5 - 3 x6 + 5 x6 = + 26 E7 + 2 x1 - 9 x2 + 1 x3 + 3 x4 + 6 x5 + 5 x6 + 2 x6 = - 96 19 E1 + 4 x1 + 8 x2 - 8 x3 + 7 x4 + 3 x5 - 2 x6 - 3 x7 = + 129 E2 + 5 x1 - 4 x2 - 3 x3 - 7 x4 + 5 x5 + 8 x6 + 3 x7 = + 29 E3 - 7 x1 - 4 x2 + 7 x3 - 6 x4 - 7 x5 - 4 x6 + 8 x7 = - 157 E4 + 6 x1 - 2 x2 + 7 x3 - 2 x4 + 4 x5 - 8 x6 - 4 x7 = - 91 E5 + 2 x1 + 4 x2 + 2 x3 + 2 x4 - 6 x5 + 8 x6 - 2 x7 = + 70 E6 + 5 x1 + 5 x2 - 7 x3 + 2 x4 - 5 x5 + 2 x6 - 7 x6 = + 59 E7 - 1 x1 + 5 x2 - 3 x3 + 7 x4 - 6 x5 - 8 x6 - 6 x6 = - 8 20 E1 + 8 x1 + 5 x2 - 7 x3 - 3 x4 + 6 x5 + 2 x6 + 5 x7 = + 50 E2 - 8 x1 + 6 x2 + 7 x3 - 5 x4 - 8 x5 + 3 x6 + 2 x7 = - 28 E3 + 8 x1 - 8 x2 + 4 x3 + 4 x4 - 4 x5 + 6 x6 + 5 x7 = + 64 E4 + 7 x1 - 3 x2 + 5 x3 + 1 x4 - 6 x5 - 7 x6 + 4 x7 = - 19 E5 + 7 x1 - 7 x2 - 3 x3 + 7 x4 - 7 x5 - 5 x6 - 2 x7 = - 45 E6 + 7 x1 + 9 x2 - 3 x3 - 3 x4 - 3 x5 + 2 x6 - 1 x6 = + 58 E7 - 6 x1 - 2 x2 + 4 x3 - 2 x4 - 3 x5 - 1 x6 - 4 x6 = - 9
21 E1 - 7 x1 - 4 x2 + 8 x3 - 4 x4 - 3 x5 + 5 x6 + 1 x7 = + 112 E2 + 7 x1 - 2 x2 - 1 x3 - 8 x4 + 8 x5 - 2 x6 - 1 x7 = + 7 E3 - 6 x1 + 7 x2 + 8 x3 + 7 x4 - 2 x5 - 4 x6 + 9 x7 = + 32 E4 - 2 x1 - 6 x2 - 7 x3 - 5 x4 + 4 x5 - 2 x6 - 5 x7 = - 43 E5 + 2 x1 - 8 x2 + 8 x3 - 4 x4 - 8 x5 - 6 x6 - 6 x7 = + 158 E6 + 6 x1 + 3 x2 - 9 x3 - 6 x4 - 2 x5 - 2 x6 + 6 x6 = + 19 E7 - 4 x1 + 9 x2 + 2 x3 - 7 x4 + 9 x5 + 5 x6 + 6 x6 = - 38 22 E1 - 8 x1 + 4 x2 + 3 x3 + 8 x4 - 2 x5 + 6 x6 - 2 x7 = + 64 E2 + 5 x1 - 5 x2 + 3 x3 - 9 x4 + 5 x5 - 5 x6 - 7 x7 = - 79 E3 + 7 x1 - 9 x2 + 4 x3 + 8 x4 + 7 x5 - 5 x6 + 4 x7 = - 14 E4 + 6 x1 + 2 x2 - 5 x3 + 7 x4 - 3 x5 - 6 x6 + 7 x7 = - 12 E5 + 5 x1 + 9 x2 - 3 x3 - 9 x4 + 6 x5 + 3 x6 + 4 x7 = - 14 E6 + 9 x1 - 6 x2 + 3 x3 - 8 x4 - 3 x5 - 9 x6 + 9 x6 = - 123 E7 + 3 x1 - 8 x2 + 2 x3 - 4 x4 + 8 x5 + 2 x6 - 7 x6 = - 10 23 E1 + 8 x1 - 3 x2 + 2 x3 - 3 x4 - 6 x5 - 9 x6 - 5 x7 = + 1 E2 + 2 x1 - 2 x2 - 8 x3 + 3 x4 + 3 x5 - 4 x6 + 7 x7 = + 110 E3 - 7 x1 - 8 x2 + 3 x3 + 3 x4 + 7 x5 - 3 x6 - 4 x7 = + 28 E4 - 5 x1 + 9 x2 - 7 x3 - 5 x4 + 5 x5 + 6 x6 - 7 x7 = - 30 E5 + 5 x1 - 3 x2 + 3 x3 + 7 x4 + 5 x5 + 4 x6 + 6 x7 = + 64 E6 + 8 x1 - 9 x2 + 8 x3 + 8 x4 + 5 x5 + 8 x6 + 5 x6 = + 63 E7 - 5 x1 + 6 x2 + 8 x3 + 3 x4 + 5 x5 + 8 x6 - 9 x6 = - 92 24 E1 - 4 x1 - 7 x2 - 8 x3 + 1 x4 + 6 x5 + 7 x6 + 7 x7 = - 49 E2 + 8 x1 - 4 x2 - 8 x3 - 6 x4 - 6 x5 - 9 x6 + 1 x7 = + 47 E3 - 8 x1 - 7 x2 - 8 x3 - 9 x4 - 1 x5 + 8 x6 - 3 x7 = - 45 E4 + 4 x1 - 6 x2 - 8 x3 - 8 x4 - 1 x5 - 3 x6 + 7 x7 = - 45 E5 + 3 x1 - 8 x2 + 6 x3 + 2 x4 + 6 x5 + 2 x6 + 9 x7 = - 130 E6 - 8 x1 - 7 x2 - 2 x3 + 7 x4 + 4 x5 - 2 x6 + 5 x6 = - 65 E7 - 3 x1 + 6 x2 - 1 x3 + 8 x4 - 2 x5 + 8 x6 - 5 x6 = + 131
25 E1 + 2 x1 - 6 x2 + 8 x3 - 3 x4 - 8 x5 - 3 x6 - 9 x7 = - 103 E2 + 4 x1 + 6 x2 - 9 x3 + 4 x4 - 2 x5 + 9 x6 + 6 x7 = + 123 E3 - 8 x1 + 2 x2 - 5 x3 + 1 x4 + 2 x5 + 5 x6 + 8 x7 = + 175 E4 - 9 x1 + 8 x2 - 7 x3 + 7 x4 - 2 x5 - 8 x6 + 1 x7 = + 19 E5 + 6 x1 - 2 x2 - 6 x3 - 3 x4 + 7 x5 - 2 x6 + 6 x7 = + 32 E6 + 4 x1 + 7 x2 + 8 x3 + 5 x4 - 5 x5 - 3 x6 + 3 x6 = - 117 E7 + 3 x1 - 7 x2 + 6 x3 - 9 x4 - 3 x5 + 4 x6 - 7 x6 = - 21 26 E1 - 6 x1 - 6 x2 - 8 x3 - 7 x4 + 4 x5 + 7 x6 - 6 x7 = + 63 E2 - 6 x1 + 8 x2 + 6 x3 - 8 x4 - 9 x5 - 2 x6 - 6 x7 = + 18 E3 + 7 x1 - 3 x2 + 2 x3 + 2 x4 - 6 x5 - 7 x6 - 9 x7 = + 77 E4 + 9 x1 - 8 x2 + 6 x3 - 4 x4 - 5 x5 - 2 x6 + 4 x7 = + 29 E5 - 2 x1 + 8 x2 - 3 x3 + 5 x4 + 2 x5 + 1 x6 + 7 x7 = - 79 E6 + 4 x1 - 8 x2 + 3 x3 + 2 x4 + 2 x5 + 2 x6 + 3 x6 = - 14 E7 + 8 x1 + 6 x2 - 9 x3 - 7 x4 - 4 x5 + 6 x6 + 1 x6 = + 38 27 E1 - 4 x1 + 3 x2 + 9 x3 - 8 x4 - 8 x5 + 9 x6 - 6 x7 = - 69 E2 - 1 x1 - 6 x2 + 9 x3 - 6 x4 + 5 x5 - 3 x6 + 4 x7 = + 33 E3 - 8 x1 + 5 x2 - 3 x3 + 4 x4 - 3 x5 - 3 x6 - 2 x7 = + 5 E4 + 5 x1 - 1 x2 - 1 x3 - 3 x4 - 6 x5 + 4 x6 + 8 x7 = + 8 E5 + 7 x1 + 2 x2 + 6 x3 + 8 x4 - 8 x5 - 4 x6 + 2 x7 = - 56 E6 + 3 x1 - 4 x2 + 9 x3 - 2 x4 + 9 x5 - 5 x6 - 4 x6 = - 29 E7 + 7 x1 - 8 x2 + 5 x3 - 4 x4 - 7 x5 + 5 x6 - 2 x6 = - 13 28 E1 + 8 x1 + 2 x2 - 5 x3 + 7 x4 - 6 x5 + 4 x6 + 6 x7 = + 147 E2 + 3 x1 + 8 x2 + 2 x3 - 3 x4 + 7 x5 - 9 x6 + 5 x7 = - 57 E3 - 1 x1 - 4 x2 - 5 x3 - 8 x4 - 7 x5 - 4 x6 + 3 x7 = - 79 E4 - 7 x1 - 8 x2 - 3 x3 + 5 x4 + 9 x5 - 4 x6 + 4 x7 = - 86 E5 + 5 x1 - 2 x2 - 4 x3 - 4 x4 + 5 x5 - 7 x6 - 4 x7 = - 170 E6 + 5 x1 + 8 x2 - 5 x3 - 6 x4 + 4 x5 + 4 x6 + 3 x6 = + 2 E7 + 4 x1 + 6 x2 + 8 x3 - 7 x4 - 2 x5 - 6 x6 - 2 x6 = - 43
29 E1 - 1 x1 + 3 x2 + 8 x3 + 8 x4 + 2 x5 - 4 x6 - 6 x7 = + 108 E2 - 5 x1 + 8 x2 - 8 x3 + 8 x4 - 2 x5 - 5 x6 - 3 x7 = + 76 E3 - 5 x1 - 3 x2 + 5 x3 - 2 x4 - 1 x5 + 6 x6 - 7 x7 = + 2 E4 + 4 x1 - 8 x2 - 4 x3 + 9 x4 - 3 x5 + 2 x6 + 1 x7 = - 105 E5 + 6 x1 + 2 x2 + 2 x3 + 5 x4 + 4 x5 - 5 x6 - 2 x7 = + 55 E6 + 4 x1 - 3 x2 + 4 x3 - 8 x4 + 7 x5 + 3 x6 + 9 x6 = - 9 E7 - 8 x1 - 4 x2 + 7 x3 - 8 x4 - 9 x5 + 9 x6 + 1 x6 = - 93 30 E1 - 6 x1 - 6 x2 + 7 x3 + 2 x4 + 1 x5 + 8 x6 - 5 x7 = - 28 E2 - 8 x1 + 6 x2 + 4 x3 - 2 x4 - 2 x5 - 3 x6 + 9 x7 = + 6 E3 - 7 x1 + 7 x2 - 9 x3 + 3 x4 + 6 x5 - 1 x6 + 9 x7 = + 164 E4 + 6 x1 - 3 x2 + 5 x3 - 4 x4 - 2 x5 + 6 x6 + 3 x7 = - 48 E5 + 8 x1 - 4 x2 - 4 x3 - 9 x4 - 2 x5 + 5 x6 - 5 x7 = - 56 E6 - 6 x1 - 6 x2 + 5 x3 + 6 x4 - 2 x5 + 5 x6 + 1 x6 = - 17 E7 - 1 x1 - 6 x2 + 2 x3 + 2 x4 - 7 x5 + 6 x6 + 4 x6 = - 51 31 E1 - 4 x1 - 5 x2 + 8 x3 + 9 x4 - 2 x5 - 1 x6 + 1 x7 = - 49 E2 - 3 x1 - 4 x2 + 1 x3 + 4 x4 + 5 x5 + 6 x6 + 6 x7 = - 136 E3 + 2 x1 + 8 x2 - 5 x3 + 4 x4 + 2 x5 - 8 x6 - 2 x7 = + 30 E4 - 7 x1 - 4 x2 - 8 x3 + 7 x4 + 1 x5 - 8 x6 - 3 x7 = + 74 E5 - 4 x1 - 8 x2 - 1 x3 + 6 x4 + 9 x5 - 3 x6 - 2 x7 = - 69 E6 - 4 x1 - 4 x2 - 5 x3 + 7 x4 - 6 x5 - 8 x6 - 4 x6 = + 106 E7 + 6 x1 + 9 x2 - 2 x3 - 4 x4 + 8 x5 - 5 x6 + 3 x6 = - 41 32 E1 - 6 x1 + 7 x2 - 6 x3 + 9 x4 + 3 x5 - 5 x6 - 7 x7 = + 28 E2 + 8 x1 - 3 x2 + 7 x3 + 7 x4 - 8 x5 + 2 x6 - 2 x7 = - 116 E3 - 3 x1 - 4 x2 + 1 x3 - 3 x4 - 3 x5 - 7 x6 - 9 x7 = - 12 E4 - 8 x1 + 3 x2 - 5 x3 + 8 x4 + 7 x5 - 8 x6 + 7 x7 = + 65 E5 + 6 x1 - 4 x2 - 6 x3 + 1 x4 + 3 x5 - 2 x6 + 6 x7 = + 44 E6 - 2 x1 - 2 x2 - 3 x3 + 4 x4 - 8 x5 + 5 x6 + 1 x6 = - 70 E7 - 8 x1 - 1 x2 - 2 x3 + 6 x4 + 3 x5 - 5 x6 - 3 x6 = - 22

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Sistemas 7x7

  • 1. 1 E1 + 4 x1 - 7 x2 + 7 x3 + 7 x4 - 8 x5 - 4 x6 + 4 x7 = - 1 E2 + 2 x1 + 8 x2 + 2 x3 + 3 x4 - 6 x5 + 2 x6 - 2 x7 = + 82 E3 - 6 x1 + 7 x2 - 4 x3 - 9 x4 + 9 x5 + 7 x6 + 7 x7 = + 51 E4 - 6 x1 + 7 x2 + 2 x3 + 6 x4 + 3 x5 - 4 x6 + 8 x7 = + 90 E5 - 8 x1 - 2 x2 - 7 x3 + 4 x4 + 8 x5 - 4 x6 + 1 x7 = - 36 E6 + 9 x1 + 4 x2 + 3 x3 - 6 x4 + 6 x5 + 7 x6 - 3 x6 = - 72 E7 + 2 x1 - 8 x2 + 5 x3 + 3 x4 + 6 x5 - 4 x6 + 4 x6 = - 103 2 E1 + 3 x1 + 1 x2 + 5 x3 + 6 x4 + 2 x5 - 5 x6 - 3 x7 = + 14 E2 - 3 x1 + 7 x2 + 8 x3 - 9 x4 - 6 x5 - 3 x6 + 5 x7 = - 136 E3 - 5 x1 - 8 x2 - 5 x3 + 8 x4 - 2 x5 + 7 x6 - 2 x7 = + 88 E4 - 9 x1 + 4 x2 - 6 x3 + 2 x4 - 3 x5 + 7 x6 + 7 x7 = + 15 E5 + 7 x1 - 3 x2 - 3 x3 - 8 x4 - 2 x5 - 8 x6 - 9 x7 = - 18 E6 - 6 x1 - 6 x2 + 9 x3 - 8 x4 + 8 x5 - 6 x6 - 2 x6 = + 126 E7 + 5 x1 + 3 x2 + 4 x3 + 4 x4 - 2 x5 - 8 x6 - 6 x6 = - 38 3 E1 + 6 x1 - 1 x2 - 9 x3 - 2 x4 + 3 x5 - 4 x6 + 8 x7 = + 25 E2 - 2 x1 + 2 x2 + 6 x3 - 5 x4 + 6 x5 - 3 x6 - 2 x7 = + 6 E3 + 2 x1 + 5 x2 + 8 x3 + 2 x4 - 5 x5 + 8 x6 + 2 x7 = - 112 E4 + 5 x1 - 6 x2 + 2 x3 - 1 x4 + 3 x5 + 7 x6 + 2 x7 = - 128 E5 + 5 x1 + 3 x2 + 7 x3 + 5 x4 + 4 x5 - 5 x6 - 9 x7 = + 10 E6 - 2 x1 + 7 x2 + 4 x3 - 8 x4 - 7 x5 - 6 x6 - 2 x6 = + 96 E7 + 3 x1 - 8 x2 - 5 x3 + 7 x4 - 4 x5 - 6 x6 + 9 x6 = - 12 4 E1 + 9 x1 + 2 x2 + 8 x3 - 7 x4 - 7 x5 - 2 x6 - 8 x7 = - 49 E2 - 2 x1 + 7 x2 - 5 x3 + 3 x4 - 9 x5 - 3 x6 - 1 x7 = + 2 E3 - 7 x1 - 1 x2 + 6 x3 + 7 x4 + 6 x5 + 6 x6 - 8 x7 = + 135 E4 + 2 x1 + 6 x2 - 4 x3 - 6 x4 - 4 x5 - 6 x6 - 8 x7 = - 48 E5 - 2 x1 - 8 x2 + 5 x3 - 8 x4 - 2 x5 + 2 x6 + 4 x7 = - 140 E6 - 2 x1 - 5 x2 + 8 x3 + 4 x4 + 3 x5 - 3 x6 + 2 x6 = + 7 E7 + 5 x1 - 8 x2 - 2 x3 + 6 x4 + 6 x5 + 6 x6 + 8 x6 = + 46
  • 2. 5 E1 + 7 x1 - 4 x2 + 2 x3 + 1 x4 + 8 x5 + 6 x6 - 7 x7 = - 23 E2 + 7 x1 + 1 x2 + 9 x3 + 2 x4 - 3 x5 + 4 x6 + 5 x7 = - 5 E3 + 2 x1 - 1 x2 + 4 x3 + 7 x4 + 3 x5 - 6 x6 - 5 x7 = - 50 E4 - 4 x1 + 9 x2 + 3 x3 - 9 x4 - 5 x5 + 3 x6 - 5 x7 = - 111 E5 - 5 x1 - 8 x2 + 9 x3 - 5 x4 - 7 x5 - 6 x6 + 2 x7 = + 28 E6 - 7 x1 + 4 x2 - 6 x3 - 6 x4 - 9 x5 + 3 x6 - 2 x6 = + 30 E7 + 2 x1 - 1 x2 + 3 x3 + 6 x4 - 8 x5 - 5 x6 + 7 x6 = + 47 6 E1 - 7 x1 - 6 x2 + 6 x3 - 2 x4 + 8 x5 + 5 x6 - 6 x7 = - 70 E2 + 1 x1 - 7 x2 + 1 x3 + 2 x4 + 2 x5 + 4 x6 - 4 x7 = - 65 E3 - 4 x1 - 9 x2 - 7 x3 - 7 x4 - 5 x5 + 4 x6 + 3 x7 = + 25 E4 + 4 x1 + 1 x2 + 2 x3 + 3 x4 - 7 x5 + 5 x6 + 2 x7 = + 91 E5 - 8 x1 - 6 x2 - 6 x3 - 2 x4 - 6 x5 + 7 x6 + 2 x7 = + 14 E6 - 4 x1 + 4 x2 - 6 x3 - 8 x4 + 5 x5 + 3 x6 + 4 x6 = + 88 E7 - 1 x1 - 7 x2 + 7 x3 - 3 x4 + 2 x5 - 9 x6 + 9 x6 = - 9 7 E1 - 9 x1 - 3 x2 + 7 x3 - 8 x4 - 4 x5 - 6 x6 + 1 x7 = - 110 E2 - 8 x1 + 4 x2 - 2 x3 + 7 x4 - 7 x5 - 7 x6 - 6 x7 = - 62 E3 + 6 x1 + 1 x2 + 7 x3 + 5 x4 - 7 x5 + 5 x6 - 7 x7 = + 79 E4 - 5 x1 + 3 x2 - 4 x3 + 4 x4 - 5 x5 + 5 x6 - 2 x7 = + 17 E5 - 2 x1 + 4 x2 + 6 x3 + 9 x4 - 3 x5 + 9 x6 + 6 x7 = - 74 E6 - 7 x1 - 6 x2 + 2 x3 + 1 x4 + 7 x5 + 7 x6 + 6 x6 = - 143 E7 - 5 x1 - 4 x2 + 6 x3 - 8 x4 + 7 x5 + 5 x6 + 2 x6 = - 50 8 E1 - 4 x1 + 4 x2 + 9 x3 - 6 x4 - 4 x5 - 3 x6 - 5 x7 = - 154 E2 - 4 x1 + 9 x2 + 6 x3 - 6 x4 - 2 x5 + 5 x6 + 7 x7 = - 9 E3 - 6 x1 + 4 x2 + 3 x3 + 1 x4 + 3 x5 + 2 x6 + 9 x7 = + 30 E4 - 4 x1 + 5 x2 - 5 x3 - 6 x4 + 5 x5 - 5 x6 - 4 x7 = - 53 E5 - 3 x1 + 2 x2 + 6 x3 + 3 x4 - 4 x5 - 5 x6 - 3 x7 = - 102 E6 - 6 x1 - 1 x2 + 4 x3 + 2 x4 - 7 x5 - 6 x6 - 6 x6 = - 141 E7 + 5 x1 - 8 x2 - 7 x3 - 5 x4 - 8 x5 - 7 x6 + 7 x6 = + 82
  • 3. 9 E1 - 9 x1 + 3 x2 - 9 x3 - 2 x4 + 3 x5 - 4 x6 - 9 x7 = - 50 E2 + 2 x1 + 6 x2 + 4 x3 + 5 x4 + 4 x5 + 7 x6 - 3 x7 = + 3 E3 + 7 x1 + 7 x2 + 5 x3 - 8 x4 + 7 x5 + 2 x6 - 5 x7 = - 104 E4 + 4 x1 + 9 x2 + 2 x3 - 4 x4 - 5 x5 + 3 x6 - 6 x7 = - 29 E5 + 4 x1 - 6 x2 + 7 x3 - 9 x4 + 5 x5 - 3 x6 + 2 x7 = - 71 E6 + 4 x1 + 5 x2 - 4 x3 + 6 x4 + 7 x5 - 3 x6 + 7 x6 = + 18 E7 - 5 x1 - 7 x2 + 5 x3 + 8 x4 - 4 x5 + 6 x6 + 8 x6 = + 147 10 E1 - 1 x1 + 6 x2 + 2 x3 - 6 x4 - 6 x5 - 4 x6 - 5 x7 = + 4 E2 - 6 x1 + 3 x2 - 2 x3 + 8 x4 + 8 x5 - 9 x6 + 3 x7 = - 61 E3 - 6 x1 - 6 x2 - 4 x3 - 1 x4 - 8 x5 + 9 x6 + 6 x7 = + 39 E4 - 8 x1 + 2 x2 + 2 x3 + 4 x4 + 2 x5 - 2 x6 - 7 x7 = - 121 E5 + 3 x1 - 4 x2 - 8 x3 - 1 x4 + 2 x5 - 2 x6 + 6 x7 = + 68 E6 + 5 x1 - 5 x2 + 7 x3 + 4 x4 + 3 x5 + 8 x6 - 3 x6 = - 18 E7 - 4 x1 + 3 x2 - 5 x3 + 4 x4 + 8 x5 + 7 x6 - 7 x6 = - 215 11 E1 + 2 x1 + 3 x2 - 7 x3 - 2 x4 - 4 x5 + 5 x6 + 2 x7 = - 55 E2 - 3 x1 + 3 x2 + 5 x3 - 6 x4 + 7 x5 - 3 x6 - 3 x7 = - 27 E3 - 5 x1 - 6 x2 - 3 x3 + 7 x4 - 5 x5 + 4 x6 - 8 x7 = + 32 E4 + 6 x1 - 5 x2 - 2 x3 + 8 x4 - 7 x5 + 7 x6 + 8 x7 = + 20 E5 + 3 x1 + 9 x2 - 8 x3 - 6 x4 + 4 x5 - 3 x6 - 5 x7 = - 24 E6 - 6 x1 - 7 x2 + 4 x3 - 7 x4 - 8 x5 + 5 x6 - 6 x6 = - 69 E7 - 4 x1 + 9 x2 - 5 x3 + 6 x4 + 9 x5 + 7 x6 - 9 x6 = + 7 12 E1 - 5 x1 - 5 x2 + 5 x3 - 5 x4 + 3 x5 + 4 x6 - 5 x7 = - 11 E2 + 4 x1 + 7 x2 + 5 x3 - 7 x4 - 4 x5 + 9 x6 + 4 x7 = - 60 E3 + 5 x1 - 2 x2 + 5 x3 - 6 x4 - 2 x5 + 2 x6 - 2 x7 = - 32 E4 + 2 x1 - 4 x2 - 6 x3 - 4 x4 + 5 x5 - 7 x6 + 2 x7 = + 89 E5 + 3 x1 - 2 x2 - 8 x3 - 2 x4 - 8 x5 + 9 x6 - 3 x7 = - 12 E6 + 9 x1 + 2 x2 - 3 x3 + 9 x4 - 5 x5 + 6 x6 - 2 x6 = - 7 E7 + 7 x1 - 6 x2 - 1 x3 + 3 x4 - 4 x5 - 7 x6 - 5 x6 = - 10
  • 4. 13 E1 + 8 x1 + 1 x2 - 5 x3 - 4 x4 + 9 x5 - 6 x6 - 8 x7 = + 111 E2 + 2 x1 - 8 x2 + 2 x3 - 5 x4 - 5 x5 + 2 x6 - 6 x7 = + 32 E3 - 5 x1 - 6 x2 - 4 x3 - 7 x4 - 4 x5 - 5 x6 + 5 x7 = - 102 E4 + 2 x1 + 8 x2 + 7 x3 + 3 x4 - 6 x5 + 7 x6 - 7 x7 = + 27 E5 + 7 x1 - 5 x2 - 5 x3 + 6 x4 + 9 x5 - 5 x6 - 4 x7 = + 126 E6 + 3 x1 - 8 x2 + 4 x3 - 4 x4 + 7 x5 - 3 x6 + 5 x6 = + 108 E7 + 2 x1 + 8 x2 - 5 x3 - 1 x4 - 8 x5 + 8 x6 + 6 x6 = - 130 14 E1 + 8 x1 - 3 x2 - 2 x3 + 5 x4 - 6 x5 + 3 x6 - 3 x7 = + 47 E2 - 3 x1 + 6 x2 - 6 x3 + 2 x4 + 8 x5 + 1 x6 - 4 x7 = + 18 E3 + 5 x1 + 7 x2 + 3 x3 - 3 x4 + 5 x5 + 8 x6 + 5 x7 = + 45 E4 - 3 x1 - 8 x2 + 8 x3 + 4 x4 - 4 x5 - 3 x6 - 4 x7 = - 112 E5 - 4 x1 + 3 x2 - 7 x3 + 5 x4 + 8 x5 - 7 x6 + 2 x7 = + 9 E6 - 1 x1 - 6 x2 + 8 x3 - 7 x4 + 7 x5 - 3 x6 - 8 x6 = - 130 E7 + 2 x1 + 1 x2 - 3 x3 - 1 x4 - 3 x5 + 5 x6 - 8 x6 = + 34 15 E1 - 5 x1 + 8 x2 + 3 x3 + 6 x4 - 2 x5 - 9 x6 - 8 x7 = + 83 E2 + 9 x1 + 4 x2 - 8 x3 + 2 x4 + 3 x5 - 7 x6 - 7 x7 = + 67 E3 + 6 x1 + 9 x2 - 1 x3 + 3 x4 + 5 x5 + 2 x6 + 6 x7 = + 6 E4 - 7 x1 + 3 x2 + 2 x3 + 1 x4 - 5 x5 + 7 x6 - 7 x7 = + 90 E5 - 6 x1 - 6 x2 - 2 x3 - 3 x4 - 4 x5 - 3 x6 - 8 x7 = + 33 E6 + 4 x1 - 6 x2 + 8 x3 - 7 x4 - 9 x5 + 6 x6 + 4 x6 = - 147 E7 + 4 x1 + 3 x2 + 4 x3 + 7 x4 - 8 x5 - 5 x6 + 8 x6 = - 30 16 E1 - 3 x1 + 5 x2 + 4 x3 + 2 x4 - 2 x5 + 8 x6 + 8 x7 = - 41 E2 - 2 x1 - 1 x2 - 8 x3 + 5 x4 + 5 x5 + 5 x6 - 4 x7 = + 41 E3 + 9 x1 + 9 x2 + 2 x3 - 6 x4 - 3 x5 + 2 x6 - 6 x7 = - 11 E4 + 6 x1 - 3 x2 + 3 x3 - 2 x4 - 1 x5 - 3 x6 - 9 x7 = + 7 E5 + 7 x1 - 8 x2 - 6 x3 - 4 x4 + 8 x5 + 1 x6 - 4 x7 = + 169 E6 - 4 x1 - 8 x2 - 6 x3 + 5 x4 - 5 x5 - 1 x6 - 9 x6 = + 2 E7 - 1 x1 + 3 x2 + 3 x3 + 5 x4 - 5 x5 - 7 x6 - 2 x6 = - 104
  • 5. 17 E1 - 5 x1 - 2 x2 + 7 x3 + 1 x4 - 8 x5 + 8 x6 - 3 x7 = + 93 E2 - 4 x1 + 5 x2 - 8 x3 - 6 x4 + 2 x5 - 8 x6 + 2 x7 = - 85 E3 - 4 x1 - 4 x2 + 2 x3 - 3 x4 + 4 x5 - 7 x6 + 3 x7 = - 58 E4 + 7 x1 - 2 x2 + 7 x3 + 4 x4 - 3 x5 + 4 x6 + 5 x7 = + 49 E5 - 5 x1 - 5 x2 - 8 x3 - 4 x4 + 4 x5 + 5 x6 - 8 x7 = - 30 E6 - 6 x1 + 5 x2 + 2 x3 - 3 x4 - 8 x5 + 2 x6 + 4 x6 = + 17 E7 - 2 x1 + 9 x2 - 5 x3 - 7 x4 - 4 x5 - 7 x6 + 3 x6 = - 17 18 E1 + 4 x1 - 7 x2 + 3 x3 + 2 x4 - 7 x5 - 5 x6 - 4 x7 = + 1 E2 - 6 x1 - 8 x2 - 1 x3 + 4 x4 + 6 x5 + 3 x6 + 5 x7 = - 43 E3 + 6 x1 - 5 x2 - 2 x3 - 1 x4 - 2 x5 - 5 x6 - 8 x7 = - 110 E4 - 7 x1 - 7 x2 - 3 x3 - 4 x4 - 4 x5 - 8 x6 - 2 x7 = - 27 E5 + 2 x1 - 5 x2 - 4 x3 - 9 x4 + 2 x5 + 6 x6 + 4 x7 = - 111 E6 - 2 x1 + 1 x2 + 4 x3 + 3 x4 + 6 x5 - 3 x6 + 5 x6 = + 26 E7 + 2 x1 - 9 x2 + 1 x3 + 3 x4 + 6 x5 + 5 x6 + 2 x6 = - 96 19 E1 + 4 x1 + 8 x2 - 8 x3 + 7 x4 + 3 x5 - 2 x6 - 3 x7 = + 129 E2 + 5 x1 - 4 x2 - 3 x3 - 7 x4 + 5 x5 + 8 x6 + 3 x7 = + 29 E3 - 7 x1 - 4 x2 + 7 x3 - 6 x4 - 7 x5 - 4 x6 + 8 x7 = - 157 E4 + 6 x1 - 2 x2 + 7 x3 - 2 x4 + 4 x5 - 8 x6 - 4 x7 = - 91 E5 + 2 x1 + 4 x2 + 2 x3 + 2 x4 - 6 x5 + 8 x6 - 2 x7 = + 70 E6 + 5 x1 + 5 x2 - 7 x3 + 2 x4 - 5 x5 + 2 x6 - 7 x6 = + 59 E7 - 1 x1 + 5 x2 - 3 x3 + 7 x4 - 6 x5 - 8 x6 - 6 x6 = - 8 20 E1 + 8 x1 + 5 x2 - 7 x3 - 3 x4 + 6 x5 + 2 x6 + 5 x7 = + 50 E2 - 8 x1 + 6 x2 + 7 x3 - 5 x4 - 8 x5 + 3 x6 + 2 x7 = - 28 E3 + 8 x1 - 8 x2 + 4 x3 + 4 x4 - 4 x5 + 6 x6 + 5 x7 = + 64 E4 + 7 x1 - 3 x2 + 5 x3 + 1 x4 - 6 x5 - 7 x6 + 4 x7 = - 19 E5 + 7 x1 - 7 x2 - 3 x3 + 7 x4 - 7 x5 - 5 x6 - 2 x7 = - 45 E6 + 7 x1 + 9 x2 - 3 x3 - 3 x4 - 3 x5 + 2 x6 - 1 x6 = + 58 E7 - 6 x1 - 2 x2 + 4 x3 - 2 x4 - 3 x5 - 1 x6 - 4 x6 = - 9
  • 6. 21 E1 - 7 x1 - 4 x2 + 8 x3 - 4 x4 - 3 x5 + 5 x6 + 1 x7 = + 112 E2 + 7 x1 - 2 x2 - 1 x3 - 8 x4 + 8 x5 - 2 x6 - 1 x7 = + 7 E3 - 6 x1 + 7 x2 + 8 x3 + 7 x4 - 2 x5 - 4 x6 + 9 x7 = + 32 E4 - 2 x1 - 6 x2 - 7 x3 - 5 x4 + 4 x5 - 2 x6 - 5 x7 = - 43 E5 + 2 x1 - 8 x2 + 8 x3 - 4 x4 - 8 x5 - 6 x6 - 6 x7 = + 158 E6 + 6 x1 + 3 x2 - 9 x3 - 6 x4 - 2 x5 - 2 x6 + 6 x6 = + 19 E7 - 4 x1 + 9 x2 + 2 x3 - 7 x4 + 9 x5 + 5 x6 + 6 x6 = - 38 22 E1 - 8 x1 + 4 x2 + 3 x3 + 8 x4 - 2 x5 + 6 x6 - 2 x7 = + 64 E2 + 5 x1 - 5 x2 + 3 x3 - 9 x4 + 5 x5 - 5 x6 - 7 x7 = - 79 E3 + 7 x1 - 9 x2 + 4 x3 + 8 x4 + 7 x5 - 5 x6 + 4 x7 = - 14 E4 + 6 x1 + 2 x2 - 5 x3 + 7 x4 - 3 x5 - 6 x6 + 7 x7 = - 12 E5 + 5 x1 + 9 x2 - 3 x3 - 9 x4 + 6 x5 + 3 x6 + 4 x7 = - 14 E6 + 9 x1 - 6 x2 + 3 x3 - 8 x4 - 3 x5 - 9 x6 + 9 x6 = - 123 E7 + 3 x1 - 8 x2 + 2 x3 - 4 x4 + 8 x5 + 2 x6 - 7 x6 = - 10 23 E1 + 8 x1 - 3 x2 + 2 x3 - 3 x4 - 6 x5 - 9 x6 - 5 x7 = + 1 E2 + 2 x1 - 2 x2 - 8 x3 + 3 x4 + 3 x5 - 4 x6 + 7 x7 = + 110 E3 - 7 x1 - 8 x2 + 3 x3 + 3 x4 + 7 x5 - 3 x6 - 4 x7 = + 28 E4 - 5 x1 + 9 x2 - 7 x3 - 5 x4 + 5 x5 + 6 x6 - 7 x7 = - 30 E5 + 5 x1 - 3 x2 + 3 x3 + 7 x4 + 5 x5 + 4 x6 + 6 x7 = + 64 E6 + 8 x1 - 9 x2 + 8 x3 + 8 x4 + 5 x5 + 8 x6 + 5 x6 = + 63 E7 - 5 x1 + 6 x2 + 8 x3 + 3 x4 + 5 x5 + 8 x6 - 9 x6 = - 92 24 E1 - 4 x1 - 7 x2 - 8 x3 + 1 x4 + 6 x5 + 7 x6 + 7 x7 = - 49 E2 + 8 x1 - 4 x2 - 8 x3 - 6 x4 - 6 x5 - 9 x6 + 1 x7 = + 47 E3 - 8 x1 - 7 x2 - 8 x3 - 9 x4 - 1 x5 + 8 x6 - 3 x7 = - 45 E4 + 4 x1 - 6 x2 - 8 x3 - 8 x4 - 1 x5 - 3 x6 + 7 x7 = - 45 E5 + 3 x1 - 8 x2 + 6 x3 + 2 x4 + 6 x5 + 2 x6 + 9 x7 = - 130 E6 - 8 x1 - 7 x2 - 2 x3 + 7 x4 + 4 x5 - 2 x6 + 5 x6 = - 65 E7 - 3 x1 + 6 x2 - 1 x3 + 8 x4 - 2 x5 + 8 x6 - 5 x6 = + 131
  • 7. 25 E1 + 2 x1 - 6 x2 + 8 x3 - 3 x4 - 8 x5 - 3 x6 - 9 x7 = - 103 E2 + 4 x1 + 6 x2 - 9 x3 + 4 x4 - 2 x5 + 9 x6 + 6 x7 = + 123 E3 - 8 x1 + 2 x2 - 5 x3 + 1 x4 + 2 x5 + 5 x6 + 8 x7 = + 175 E4 - 9 x1 + 8 x2 - 7 x3 + 7 x4 - 2 x5 - 8 x6 + 1 x7 = + 19 E5 + 6 x1 - 2 x2 - 6 x3 - 3 x4 + 7 x5 - 2 x6 + 6 x7 = + 32 E6 + 4 x1 + 7 x2 + 8 x3 + 5 x4 - 5 x5 - 3 x6 + 3 x6 = - 117 E7 + 3 x1 - 7 x2 + 6 x3 - 9 x4 - 3 x5 + 4 x6 - 7 x6 = - 21 26 E1 - 6 x1 - 6 x2 - 8 x3 - 7 x4 + 4 x5 + 7 x6 - 6 x7 = + 63 E2 - 6 x1 + 8 x2 + 6 x3 - 8 x4 - 9 x5 - 2 x6 - 6 x7 = + 18 E3 + 7 x1 - 3 x2 + 2 x3 + 2 x4 - 6 x5 - 7 x6 - 9 x7 = + 77 E4 + 9 x1 - 8 x2 + 6 x3 - 4 x4 - 5 x5 - 2 x6 + 4 x7 = + 29 E5 - 2 x1 + 8 x2 - 3 x3 + 5 x4 + 2 x5 + 1 x6 + 7 x7 = - 79 E6 + 4 x1 - 8 x2 + 3 x3 + 2 x4 + 2 x5 + 2 x6 + 3 x6 = - 14 E7 + 8 x1 + 6 x2 - 9 x3 - 7 x4 - 4 x5 + 6 x6 + 1 x6 = + 38 27 E1 - 4 x1 + 3 x2 + 9 x3 - 8 x4 - 8 x5 + 9 x6 - 6 x7 = - 69 E2 - 1 x1 - 6 x2 + 9 x3 - 6 x4 + 5 x5 - 3 x6 + 4 x7 = + 33 E3 - 8 x1 + 5 x2 - 3 x3 + 4 x4 - 3 x5 - 3 x6 - 2 x7 = + 5 E4 + 5 x1 - 1 x2 - 1 x3 - 3 x4 - 6 x5 + 4 x6 + 8 x7 = + 8 E5 + 7 x1 + 2 x2 + 6 x3 + 8 x4 - 8 x5 - 4 x6 + 2 x7 = - 56 E6 + 3 x1 - 4 x2 + 9 x3 - 2 x4 + 9 x5 - 5 x6 - 4 x6 = - 29 E7 + 7 x1 - 8 x2 + 5 x3 - 4 x4 - 7 x5 + 5 x6 - 2 x6 = - 13 28 E1 + 8 x1 + 2 x2 - 5 x3 + 7 x4 - 6 x5 + 4 x6 + 6 x7 = + 147 E2 + 3 x1 + 8 x2 + 2 x3 - 3 x4 + 7 x5 - 9 x6 + 5 x7 = - 57 E3 - 1 x1 - 4 x2 - 5 x3 - 8 x4 - 7 x5 - 4 x6 + 3 x7 = - 79 E4 - 7 x1 - 8 x2 - 3 x3 + 5 x4 + 9 x5 - 4 x6 + 4 x7 = - 86 E5 + 5 x1 - 2 x2 - 4 x3 - 4 x4 + 5 x5 - 7 x6 - 4 x7 = - 170 E6 + 5 x1 + 8 x2 - 5 x3 - 6 x4 + 4 x5 + 4 x6 + 3 x6 = + 2 E7 + 4 x1 + 6 x2 + 8 x3 - 7 x4 - 2 x5 - 6 x6 - 2 x6 = - 43
  • 8. 29 E1 - 1 x1 + 3 x2 + 8 x3 + 8 x4 + 2 x5 - 4 x6 - 6 x7 = + 108 E2 - 5 x1 + 8 x2 - 8 x3 + 8 x4 - 2 x5 - 5 x6 - 3 x7 = + 76 E3 - 5 x1 - 3 x2 + 5 x3 - 2 x4 - 1 x5 + 6 x6 - 7 x7 = + 2 E4 + 4 x1 - 8 x2 - 4 x3 + 9 x4 - 3 x5 + 2 x6 + 1 x7 = - 105 E5 + 6 x1 + 2 x2 + 2 x3 + 5 x4 + 4 x5 - 5 x6 - 2 x7 = + 55 E6 + 4 x1 - 3 x2 + 4 x3 - 8 x4 + 7 x5 + 3 x6 + 9 x6 = - 9 E7 - 8 x1 - 4 x2 + 7 x3 - 8 x4 - 9 x5 + 9 x6 + 1 x6 = - 93 30 E1 - 6 x1 - 6 x2 + 7 x3 + 2 x4 + 1 x5 + 8 x6 - 5 x7 = - 28 E2 - 8 x1 + 6 x2 + 4 x3 - 2 x4 - 2 x5 - 3 x6 + 9 x7 = + 6 E3 - 7 x1 + 7 x2 - 9 x3 + 3 x4 + 6 x5 - 1 x6 + 9 x7 = + 164 E4 + 6 x1 - 3 x2 + 5 x3 - 4 x4 - 2 x5 + 6 x6 + 3 x7 = - 48 E5 + 8 x1 - 4 x2 - 4 x3 - 9 x4 - 2 x5 + 5 x6 - 5 x7 = - 56 E6 - 6 x1 - 6 x2 + 5 x3 + 6 x4 - 2 x5 + 5 x6 + 1 x6 = - 17 E7 - 1 x1 - 6 x2 + 2 x3 + 2 x4 - 7 x5 + 6 x6 + 4 x6 = - 51 31 E1 - 4 x1 - 5 x2 + 8 x3 + 9 x4 - 2 x5 - 1 x6 + 1 x7 = - 49 E2 - 3 x1 - 4 x2 + 1 x3 + 4 x4 + 5 x5 + 6 x6 + 6 x7 = - 136 E3 + 2 x1 + 8 x2 - 5 x3 + 4 x4 + 2 x5 - 8 x6 - 2 x7 = + 30 E4 - 7 x1 - 4 x2 - 8 x3 + 7 x4 + 1 x5 - 8 x6 - 3 x7 = + 74 E5 - 4 x1 - 8 x2 - 1 x3 + 6 x4 + 9 x5 - 3 x6 - 2 x7 = - 69 E6 - 4 x1 - 4 x2 - 5 x3 + 7 x4 - 6 x5 - 8 x6 - 4 x6 = + 106 E7 + 6 x1 + 9 x2 - 2 x3 - 4 x4 + 8 x5 - 5 x6 + 3 x6 = - 41 32 E1 - 6 x1 + 7 x2 - 6 x3 + 9 x4 + 3 x5 - 5 x6 - 7 x7 = + 28 E2 + 8 x1 - 3 x2 + 7 x3 + 7 x4 - 8 x5 + 2 x6 - 2 x7 = - 116 E3 - 3 x1 - 4 x2 + 1 x3 - 3 x4 - 3 x5 - 7 x6 - 9 x7 = - 12 E4 - 8 x1 + 3 x2 - 5 x3 + 8 x4 + 7 x5 - 8 x6 + 7 x7 = + 65 E5 + 6 x1 - 4 x2 - 6 x3 + 1 x4 + 3 x5 - 2 x6 + 6 x7 = + 44 E6 - 2 x1 - 2 x2 - 3 x3 + 4 x4 - 8 x5 + 5 x6 + 1 x6 = - 70 E7 - 8 x1 - 1 x2 - 2 x3 + 6 x4 + 3 x5 - 5 x6 - 3 x6 = - 22