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Solving Linear Equations System

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Edgar Mata
Edgar Mata

Sistemas de seis ecuaciones con solución entera o sólo un decimal

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1 E1 - 7 x1 - 7 x2 + 2 x3 - 8 x4 - 6 x5 + 5 x6 = - 64 E2 - 8 x1 - 3 x2 + 3 x3 - 9 x4 - 3 x5 + 5 x6 = - 69 E3 + 2 x1 - 7 x2 + 8 x3 + 7 x4 + 5 x5 - 8 x6 = - 15 E4 + 8 x1 - 5 x2 - 8 x3 - 7 x4 + 5 x5 + 7 x6 = - 46 E5 + 7 x1 - 2 x2 + 8 x3 - 7 x4 - 5 x5 - 3 x6 = - 109 E6 + 3 x1 + 7 x2 - 6 x3 + 1 x4 - 2 x5 - 5 x6 = + 70 2 E1 + 8 x1 - 2 x2 - 9 x3 - 9 x4 + 5 x5 + 4 x6 = + 69 E2 - 8 x1 + 3 x2 + 8 x3 - 6 x4 + 3 x5 - 2 x6 = + 31 E3 - 1 x1 - 4 x2 - 8 x3 + 7 x4 + 8 x5 - 7 x6 = + 162 E4 + 9 x1 - 6 x2 + 8 x3 + 3 x4 - 3 x5 + 2 x6 = - 156 E5 + 7 x1 + 6 x2 + 2 x3 + 3 x4 + 3 x5 + 7 x6 = - 140 E6 + 7 x1 - 4 x2 - 3 x3 + 2 x4 + 9 x5 + 4 x6 = + 13 3 E1 - 3 x1 - 2 x2 - 9 x3 + 6 x4 + 4 x5 + 9 x6 = - 63 E2 + 2 x1 + 6 x2 - 3 x3 - 9 x4 - 2 x5 + 1 x6 = + 53 E3 + 2 x1 + 3 x2 - 6 x3 - 4 x4 - 3 x5 - 6 x6 = + 84 E4 + 5 x1 - 8 x2 + 5 x3 + 7 x4 - 2 x5 - 3 x6 = - 65 E5 - 3 x1 + 1 x2 - 3 x3 + 2 x4 - 8 x5 - 4 x6 = + 27 E6 + 5 x1 + 4 x2 + 1 x3 + 7 x4 - 7 x5 + 3 x6 = - 63 4 E1 - 2 x1 + 3 x2 - 7 x3 - 5 x4 + 1 x5 + 6 x6 = - 32 E2 - 6 x1 - 2 x2 - 4 x3 + 1 x4 - 4 x5 + 3 x6 = - 26 E3 + 9 x1 - 8 x2 - 6 x3 - 7 x4 + 7 x5 - 6 x6 = - 73 E4 + 8 x1 + 2 x2 + 7 x3 - 1 x4 + 6 x5 + 2 x6 = + 84 E5 + 1 x1 + 6 x2 - 4 x3 - 3 x4 + 8 x5 + 3 x6 = - 25 E6 - 7 x1 + 9 x2 - 8 x3 - 1 x4 + 8 x5 - 7 x6 = - 158
5 E1 + 6 x1 - 1 x2 - 4 x3 - 4 x4 - 9 x5 - 6 x6 = - 6 E2 - 2 x1 - 2 x2 - 5 x3 - 6 x4 - 3 x5 - 8 x6 = - 57 E3 - 7 x1 - 1 x2 - 8 x3 + 6 x4 - 9 x5 - 7 x6 = + 37 E4 - 8 x1 - 2 x2 + 1 x3 + 4 x4 + 7 x5 - 8 x6 = - 73 E5 - 7 x1 + 3 x2 + 5 x3 - 5 x4 - 3 x5 - 6 x6 = + 21 E6 - 3 x1 + 8 x2 - 7 x3 + 5 x4 - 3 x5 - 4 x6 = + 64 6 E1 - 6 x1 - 8 x2 - 4 x3 + 8 x4 + 2 x5 + 5 x6 = + 42 E2 - 3 x1 - 2 x2 + 6 x3 - 2 x4 + 8 x5 + 5 x6 = - 19 E3 + 7 x1 - 7 x2 - 8 x3 - 2 x4 - 5 x5 - 2 x6 = + 64 E4 + 6 x1 - 3 x2 - 5 x3 - 8 x4 + 3 x5 + 8 x6 = - 14 E5 - 6 x1 - 6 x2 + 3 x3 - 2 x4 + 2 x5 - 7 x6 = + 15 E6 - 2 x1 - 8 x2 + 7 x3 - 8 x4 - 3 x5 - 2 x6 = - 68 7 E1 + 6 x1 + 1 x2 - 2 x3 - 8 x4 - 1 x5 + 2 x6 = + 59 E2 - 5 x1 - 7 x2 + 6 x3 + 8 x4 + 5 x5 + 1 x6 = - 69 E3 + 9 x1 + 7 x2 - 6 x3 + 2 x4 - 8 x5 - 2 x6 = + 73 E4 - 4 x1 + 4 x2 + 4 x3 + 2 x4 - 2 x5 - 6 x6 = + 8 E5 + 2 x1 - 4 x2 - 8 x3 - 3 x4 - 3 x5 - 6 x6 = + 77 E6 + 9 x1 - 4 x2 + 3 x3 - 5 x4 + 6 x5 - 3 x6 = + 97 8 E1 - 7 x1 + 5 x2 - 4 x3 + 1 x4 + 7 x5 + 2 x6 = + 58 E2 - 1 x1 + 4 x2 - 3 x3 - 5 x4 + 9 x5 + 3 x6 = + 60 E3 - 1 x1 - 2 x2 - 7 x3 - 1 x4 + 7 x5 + 4 x6 = + 89 E4 - 4 x1 + 8 x2 - 5 x3 + 6 x4 + 8 x5 - 2 x6 = + 58 E5 - 5 x1 - 3 x2 - 1 x3 - 8 x4 - 4 x5 - 3 x6 = + 32 E6 - 3 x1 - 2 x2 + 8 x3 - 8 x4 - 6 x5 + 3 x6 = - 75
9 E1 - 8 x1 - 2 x2 - 4 x3 + 4 x4 - 8 x5 - 8 x6 = - 32 E2 - 6 x1 + 4 x2 - 7 x3 + 6 x4 + 7 x5 + 5 x6 = - 109 E3 + 9 x1 - 7 x2 + 8 x3 + 7 x4 - 1 x5 + 7 x6 = + 116 E4 + 7 x1 + 6 x2 + 5 x3 + 7 x4 + 9 x5 - 4 x6 = + 114 E5 + 8 x1 + 9 x2 - 7 x3 - 6 x4 + 7 x5 - 3 x6 = + 5 E6 - 6 x1 + 8 x2 + 2 x3 - 6 x4 - 1 x5 - 3 x6 = - 80 10 E1 + 8 x1 + 9 x2 + 9 x3 + 5 x4 + 3 x5 - 4 x6 = - 59 E2 - 8 x1 + 5 x2 - 8 x3 + 8 x4 - 1 x5 + 5 x6 = + 17 E3 + 9 x1 + 1 x2 - 6 x3 - 4 x4 + 2 x5 + 8 x6 = + 137 E4 - 3 x1 + 6 x2 - 8 x3 - 5 x4 + 6 x5 - 7 x6 = + 124 E5 + 6 x1 + 5 x2 + 6 x3 + 6 x4 + 8 x5 + 4 x6 = - 60 E6 + 7 x1 + 8 x2 - 6 x3 + 6 x4 + 9 x5 + 8 x6 = + 76 11 E1 - 8 x1 + 7 x2 - 4 x3 - 6 x4 + 7 x5 - 3 x6 = + 20 E2 + 2 x1 + 4 x2 - 8 x3 - 1 x4 + 2 x5 - 8 x6 = + 22 E3 - 7 x1 + 8 x2 - 4 x3 - 5 x4 + 4 x5 + 9 x6 = + 16 E4 - 5 x1 + 5 x2 - 6 x3 - 4 x4 + 9 x5 + 6 x6 = + 70 E5 + 4 x1 + 8 x2 - 2 x3 - 6 x4 - 4 x5 + 4 x6 = + 18 E6 + 3 x1 - 5 x2 - 1 x3 - 5 x4 - 5 x5 + 8 x6 = + 67 12 E1 - 3 x1 - 5 x2 - 6 x3 - 8 x4 - 1 x5 - 2 x6 = - 2 E2 - 4 x1 - 6 x2 - 4 x3 + 3 x4 + 4 x5 + 6 x6 = - 93 E3 - 7 x1 - 2 x2 + 4 x3 - 8 x4 + 4 x5 - 6 x6 = + 122 E4 + 8 x1 + 6 x2 + 8 x3 + 4 x4 + 8 x5 - 8 x6 = + 176 E5 + 4 x1 - 8 x2 + 5 x3 - 9 x4 - 5 x5 + 6 x6 = + 48 E6 - 4 x1 + 8 x2 - 4 x3 - 3 x4 + 3 x5 + 3 x6 = - 68
13 E1 - 9 x1 + 8 x2 - 8 x3 + 2 x4 + 2 x5 - 8 x6 = + 2 E2 - 6 x1 - 4 x2 + 7 x3 + 2 x4 + 3 x5 + 8 x6 = + 117 E3 + 8 x1 + 4 x2 + 3 x3 + 5 x4 + 8 x5 - 5 x6 = - 102 E4 + 5 x1 - 4 x2 - 7 x3 + 6 x4 + 7 x5 + 8 x6 = + 61 E5 - 8 x1 + 5 x2 + 6 x3 + 7 x4 - 6 x5 - 8 x6 = - 85 E6 + 8 x1 + 6 x2 - 3 x3 - 4 x4 - 3 x5 + 7 x6 = - 19 14 E1 + 6 x1 - 7 x2 + 5 x3 + 4 x4 - 2 x5 - 4 x6 = + 17 E2 + 1 x1 - 6 x2 - 4 x3 - 4 x4 + 7 x5 - 6 x6 = - 28 E3 + 2 x1 + 6 x2 - 8 x3 - 2 x4 - 7 x5 - 3 x6 = + 112 E4 - 9 x1 + 3 x2 + 1 x3 - 1 x4 - 4 x5 - 3 x6 = - 32 E5 - 6 x1 + 5 x2 - 2 x3 - 3 x4 - 7 x5 + 2 x6 = + 16 E6 - 8 x1 + 8 x2 - 9 x3 - 2 x4 + 7 x5 - 4 x6 = - 32 15 E1 + 7 x1 + 1 x2 - 4 x3 - 3 x4 + 2 x5 - 9 x6 = - 88 E2 - 3 x1 - 4 x2 + 9 x3 - 5 x4 - 8 x5 + 5 x6 = + 93 E3 - 2 x1 + 6 x2 - 5 x3 - 8 x4 - 2 x5 + 5 x6 = + 54 E4 + 4 x1 + 1 x2 + 4 x3 - 1 x4 - 4 x5 + 6 x6 = + 33 E5 + 2 x1 + 3 x2 + 2 x3 - 8 x4 - 1 x5 - 1 x6 = - 2 E6 + 5 x1 - 9 x2 - 2 x3 - 5 x4 - 1 x5 - 8 x6 = - 20 16 E1 - 2 x1 + 8 x2 + 7 x3 + 8 x4 + 5 x5 - 4 x6 = + 102 E2 + 1 x1 - 8 x2 - 7 x3 + 5 x4 - 2 x5 - 2 x6 = - 61 E3 - 7 x1 - 4 x2 - 8 x3 + 8 x4 + 8 x5 + 6 x6 = - 56 E4 - 2 x1 - 8 x2 + 1 x3 - 9 x4 - 3 x5 - 7 x6 = - 91 E5 + 8 x1 - 1 x2 + 1 x3 + 7 x4 - 2 x5 - 9 x6 = + 14 E6 + 6 x1 + 7 x2 + 4 x3 - 5 x4 - 8 x5 - 9 x6 = + 57
17 E1 - 7 x1 - 9 x2 + 3 x3 + 7 x4 - 8 x5 + 7 x6 = - 34 E2 + 6 x1 + 8 x2 - 6 x3 + 9 x4 + 5 x5 + 4 x6 = - 113 E3 - 2 x1 - 1 x2 - 4 x3 - 4 x4 - 7 x5 - 9 x6 = + 81 E4 + 5 x1 - 2 x2 - 1 x3 + 3 x4 + 6 x5 + 4 x6 = - 41 E5 + 6 x1 + 3 x2 - 5 x3 - 4 x4 + 3 x5 - 4 x6 = + 27 E6 - 2 x1 + 8 x2 + 7 x3 - 2 x4 + 6 x5 - 1 x6 = - 12 18 E1 - 7 x1 - 5 x2 - 8 x3 - 4 x4 + 3 x5 + 8 x6 = - 81 E2 + 2 x1 - 8 x2 - 8 x3 + 9 x4 + 9 x5 + 8 x6 = + 63 E3 - 5 x1 - 4 x2 - 3 x3 + 6 x4 + 8 x5 - 2 x6 = + 28 E4 + 5 x1 - 3 x2 + 4 x3 - 7 x4 + 2 x5 + 3 x6 = - 48 E5 - 4 x1 + 3 x2 - 5 x3 - 2 x4 + 8 x5 + 3 x6 = + 12 E6 - 2 x1 - 8 x2 + 1 x3 - 8 x4 + 8 x5 + 2 x6 = - 91 19 E1 - 4 x1 - 9 x2 + 2 x3 + 2 x4 + 7 x5 + 8 x6 = + 122 E2 - 3 x1 + 1 x2 + 7 x3 - 2 x4 - 6 x5 - 7 x6 = - 64 E3 + 6 x1 + 4 x2 + 3 x3 - 3 x4 - 5 x5 + 4 x6 = + 34 E4 + 7 x1 - 8 x2 + 7 x3 + 8 x4 - 7 x5 - 6 x6 = + 29 E5 + 6 x1 - 7 x2 - 7 x3 - 4 x4 + 6 x5 + 5 x6 = + 67 E6 - 8 x1 + 5 x2 + 7 x3 + 2 x4 + 1 x5 + 5 x6 = + 35 20 E1 + 8 x1 - 7 x2 - 6 x3 - 7 x4 + 2 x5 - 3 x6 = + 12 E2 - 1 x1 + 8 x2 + 2 x3 - 7 x4 + 2 x5 - 4 x6 = - 145 E3 + 2 x1 + 4 x2 - 5 x3 + 4 x4 - 7 x5 + 6 x6 = + 66 E4 + 7 x1 - 4 x2 + 6 x3 + 5 x4 - 6 x5 - 9 x6 = + 150 E5 - 3 x1 - 5 x2 + 6 x3 - 5 x4 + 3 x5 + 5 x6 = + 15 E6 - 5 x1 - 6 x2 + 7 x3 - 2 x4 + 2 x5 + 5 x6 = + 40
21 E1 - 6 x1 - 4 x2 + 8 x3 - 8 x4 - 9 x5 + 7 x6 = + 53 E2 + 9 x1 - 4 x2 - 3 x3 - 7 x4 - 2 x5 + 3 x6 = + 119 E3 - 2 x1 + 8 x2 - 5 x3 + 5 x4 + 1 x5 - 4 x6 = - 118 E4 + 5 x1 - 8 x2 + 8 x3 + 7 x4 + 4 x5 - 1 x6 = + 66 E5 + 9 x1 + 7 x2 + 5 x3 - 5 x4 + 6 x5 - 7 x6 = + 65 E6 - 5 x1 - 1 x2 + 2 x3 + 4 x4 + 7 x5 + 1 x6 = - 15 22 E1 - 2 x1 - 2 x2 - 7 x3 - 1 x4 - 2 x5 - 7 x6 = + 45 E2 + 7 x1 - 2 x2 - 2 x3 - 1 x4 + 2 x5 - 3 x6 = + 66 E3 + 8 x1 - 6 x2 + 3 x3 - 5 x4 + 9 x5 + 3 x6 = - 16 E4 + 8 x1 - 8 x2 - 7 x3 + 3 x4 + 2 x5 - 2 x6 = + 61 E5 + 7 x1 + 6 x2 + 4 x3 - 6 x4 - 7 x5 + 6 x6 = - 2 E6 + 6 x1 + 4 x2 - 2 x3 + 2 x4 - 2 x5 + 5 x6 = + 56 23 E1 - 2 x1 + 2 x2 - 8 x3 - 8 x4 - 9 x5 - 3 x6 = - 28 E2 + 3 x1 + 5 x2 + 8 x3 + 5 x4 + 7 x5 + 3 x6 = + 46 E3 + 2 x1 + 2 x2 + 4 x3 - 4 x4 + 3 x5 + 5 x6 = + 20 E4 + 8 x1 - 5 x2 + 4 x3 + 3 x4 + 5 x5 - 2 x6 = - 70 E5 + 1 x1 - 4 x2 - 4 x3 + 5 x4 - 1 x5 + 3 x6 = + 22 E6 - 6 x1 - 4 x2 + 5 x3 + 4 x4 - 8 x5 - 2 x6 = - 61 24 E1 + 3 x1 + 1 x2 - 3 x3 - 5 x4 + 5 x5 + 3 x6 = + 26 E2 + 2 x1 - 3 x2 - 9 x3 - 5 x4 + 1 x5 - 3 x6 = + 80 E3 - 2 x1 - 4 x2 - 5 x3 - 2 x4 + 5 x5 + 5 x6 = - 34 E4 - 7 x1 + 2 x2 + 7 x3 + 2 x4 + 7 x5 + 4 x6 = - 146 E5 + 2 x1 - 9 x2 + 7 x3 + 3 x4 - 2 x5 - 2 x6 = - 38 E6 + 4 x1 + 2 x2 + 4 x3 - 7 x4 - 8 x5 - 8 x6 = + 148
25 E1 + 4 x1 + 9 x2 + 2 x3 + 3 x4 + 3 x5 - 3 x6 = + 65 E2 + 9 x1 + 3 x2 + 8 x3 + 4 x4 - 5 x5 - 4 x6 = + 153 E3 + 3 x1 - 6 x2 - 2 x3 - 5 x4 + 6 x5 + 8 x6 = - 118 E4 - 2 x1 + 5 x2 + 4 x3 + 3 x4 + 7 x5 - 2 x6 = + 37 E5 - 2 x1 - 7 x2 - 4 x3 + 3 x4 - 5 x5 + 5 x6 = - 51 E6 + 1 x1 - 7 x2 + 7 x3 - 2 x4 + 4 x5 - 2 x6 = + 39 26 E1 - 4 x1 + 5 x2 - 8 x3 + 6 x4 + 4 x5 - 1 x6 = + 59 E2 - 7 x1 + 3 x2 + 4 x3 + 3 x4 - 4 x5 - 7 x6 = + 24 E3 + 2 x1 + 7 x2 + 4 x3 - 6 x4 + 1 x5 + 8 x6 = + 84 E4 - 4 x1 - 6 x2 + 3 x3 + 2 x4 + 4 x5 + 8 x6 = - 1 E5 - 1 x1 - 9 x2 - 4 x3 + 6 x4 - 8 x5 + 7 x6 = - 75 E6 + 7 x1 - 5 x2 + 4 x3 + 8 x4 + 3 x5 - 8 x6 = - 128 27 E1 + 6 x1 - 4 x2 + 8 x3 + 7 x4 - 2 x5 + 7 x6 = + 25 E2 + 4 x1 + 4 x2 - 5 x3 + 6 x4 + 8 x5 + 9 x6 = + 12 E3 - 3 x1 + 5 x2 - 9 x3 + 9 x4 + 9 x5 - 4 x6 = - 86 E4 + 8 x1 - 2 x2 - 3 x3 + 4 x4 + 6 x5 + 5 x6 = + 12 E5 + 9 x1 + 7 x2 - 4 x3 + 8 x4 + 8 x5 - 3 x6 = - 2 E6 - 7 x1 + 9 x2 + 4 x3 - 5 x4 - 5 x5 + 7 x6 = + 64 28 E1 + 2 x1 + 2 x2 - 7 x3 + 6 x4 + 7 x5 + 8 x6 = + 154 E2 + 7 x1 - 2 x2 - 4 x3 + 7 x4 + 8 x5 - 6 x6 = + 37 E3 - 2 x1 - 6 x2 + 6 x3 - 2 x4 - 1 x5 + 4 x6 = - 74 E4 + 3 x1 + 3 x2 + 7 x3 - 2 x4 + 4 x5 - 3 x6 = - 16 E5 - 1 x1 - 9 x2 + 8 x3 - 6 x4 + 7 x5 - 7 x6 = - 118 E6 - 5 x1 + 1 x2 + 7 x3 + 3 x4 + 1 x5 - 5 x6 = - 94
29 E1 - 8 x1 + 4 x2 + 1 x3 + 5 x4 - 6 x5 - 7 x6 = - 34 E2 + 6 x1 - 4 x2 - 2 x3 + 7 x4 + 7 x5 - 4 x6 = - 7 E3 + 3 x1 + 1 x2 - 8 x3 - 9 x4 - 3 x5 + 5 x6 = - 21 E4 + 4 x1 - 5 x2 - 8 x3 + 4 x4 - 7 x5 + 7 x6 = - 35 E5 - 7 x1 - 3 x2 - 5 x3 + 7 x4 - 8 x5 - 9 x6 = - 106 E6 + 5 x1 + 9 x2 + 3 x3 + 1 x4 - 9 x5 + 5 x6 = + 78 30 E1 - 8 x1 - 5 x2 + 6 x3 + 2 x4 + 2 x5 + 5 x6 = + 44 E2 + 2 x1 - 2 x2 - 2 x3 + 7 x4 + 8 x5 + 3 x6 = + 124 E3 - 2 x1 - 5 x2 + 3 x3 - 4 x4 + 2 x5 + 4 x6 = - 15 E4 + 8 x1 + 3 x2 - 5 x3 + 3 x4 - 5 x5 + 8 x6 = + 17 E5 - 2 x1 + 9 x2 + 5 x3 + 7 x4 - 4 x5 - 8 x6 = + 14 E6 - 8 x1 + 8 x2 + 9 x3 - 8 x4 - 5 x5 - 5 x6 = - 80 31 E1 + 4 x1 - 7 x2 + 9 x3 - 7 x4 + 8 x5 - 9 x6 = + 8 E2 - 2 x1 + 9 x2 + 8 x3 - 5 x4 - 3 x5 + 7 x6 = - 162 E3 - 5 x1 + 4 x2 + 5 x3 - 2 x4 - 6 x5 - 7 x6 = - 71 E4 + 6 x1 - 2 x2 - 8 x3 + 9 x4 - 4 x5 + 8 x6 = + 41 E5 + 7 x1 - 7 x2 - 5 x3 + 9 x4 - 2 x5 + 9 x6 = + 53 E6 - 2 x1 + 8 x2 + 5 x3 - 2 x4 + 1 x5 - 5 x6 = - 57 32 E1 - 3 x1 - 6 x2 - 3 x3 + 3 x4 + 8 x5 + 5 x6 = - 98 E2 - 6 x1 - 8 x2 - 6 x3 - 1 x4 - 9 x5 + 8 x6 = - 26 E3 + 7 x1 + 8 x2 + 5 x3 - 8 x4 + 3 x5 + 4 x6 = + 18 E4 + 4 x1 - 3 x2 - 5 x3 + 8 x4 + 8 x5 - 9 x6 = - 36 E5 - 5 x1 + 3 x2 + 2 x3 - 4 x4 + 3 x5 - 4 x6 = + 34 E6 + 5 x1 - 5 x2 - 1 x3 + 5 x4 - 3 x5 + 2 x6 = - 8

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Solving Linear Equations System

  • 1. 1 E1 - 7 x1 - 7 x2 + 2 x3 - 8 x4 - 6 x5 + 5 x6 = - 64 E2 - 8 x1 - 3 x2 + 3 x3 - 9 x4 - 3 x5 + 5 x6 = - 69 E3 + 2 x1 - 7 x2 + 8 x3 + 7 x4 + 5 x5 - 8 x6 = - 15 E4 + 8 x1 - 5 x2 - 8 x3 - 7 x4 + 5 x5 + 7 x6 = - 46 E5 + 7 x1 - 2 x2 + 8 x3 - 7 x4 - 5 x5 - 3 x6 = - 109 E6 + 3 x1 + 7 x2 - 6 x3 + 1 x4 - 2 x5 - 5 x6 = + 70 2 E1 + 8 x1 - 2 x2 - 9 x3 - 9 x4 + 5 x5 + 4 x6 = + 69 E2 - 8 x1 + 3 x2 + 8 x3 - 6 x4 + 3 x5 - 2 x6 = + 31 E3 - 1 x1 - 4 x2 - 8 x3 + 7 x4 + 8 x5 - 7 x6 = + 162 E4 + 9 x1 - 6 x2 + 8 x3 + 3 x4 - 3 x5 + 2 x6 = - 156 E5 + 7 x1 + 6 x2 + 2 x3 + 3 x4 + 3 x5 + 7 x6 = - 140 E6 + 7 x1 - 4 x2 - 3 x3 + 2 x4 + 9 x5 + 4 x6 = + 13 3 E1 - 3 x1 - 2 x2 - 9 x3 + 6 x4 + 4 x5 + 9 x6 = - 63 E2 + 2 x1 + 6 x2 - 3 x3 - 9 x4 - 2 x5 + 1 x6 = + 53 E3 + 2 x1 + 3 x2 - 6 x3 - 4 x4 - 3 x5 - 6 x6 = + 84 E4 + 5 x1 - 8 x2 + 5 x3 + 7 x4 - 2 x5 - 3 x6 = - 65 E5 - 3 x1 + 1 x2 - 3 x3 + 2 x4 - 8 x5 - 4 x6 = + 27 E6 + 5 x1 + 4 x2 + 1 x3 + 7 x4 - 7 x5 + 3 x6 = - 63 4 E1 - 2 x1 + 3 x2 - 7 x3 - 5 x4 + 1 x5 + 6 x6 = - 32 E2 - 6 x1 - 2 x2 - 4 x3 + 1 x4 - 4 x5 + 3 x6 = - 26 E3 + 9 x1 - 8 x2 - 6 x3 - 7 x4 + 7 x5 - 6 x6 = - 73 E4 + 8 x1 + 2 x2 + 7 x3 - 1 x4 + 6 x5 + 2 x6 = + 84 E5 + 1 x1 + 6 x2 - 4 x3 - 3 x4 + 8 x5 + 3 x6 = - 25 E6 - 7 x1 + 9 x2 - 8 x3 - 1 x4 + 8 x5 - 7 x6 = - 158
  • 2. 5 E1 + 6 x1 - 1 x2 - 4 x3 - 4 x4 - 9 x5 - 6 x6 = - 6 E2 - 2 x1 - 2 x2 - 5 x3 - 6 x4 - 3 x5 - 8 x6 = - 57 E3 - 7 x1 - 1 x2 - 8 x3 + 6 x4 - 9 x5 - 7 x6 = + 37 E4 - 8 x1 - 2 x2 + 1 x3 + 4 x4 + 7 x5 - 8 x6 = - 73 E5 - 7 x1 + 3 x2 + 5 x3 - 5 x4 - 3 x5 - 6 x6 = + 21 E6 - 3 x1 + 8 x2 - 7 x3 + 5 x4 - 3 x5 - 4 x6 = + 64 6 E1 - 6 x1 - 8 x2 - 4 x3 + 8 x4 + 2 x5 + 5 x6 = + 42 E2 - 3 x1 - 2 x2 + 6 x3 - 2 x4 + 8 x5 + 5 x6 = - 19 E3 + 7 x1 - 7 x2 - 8 x3 - 2 x4 - 5 x5 - 2 x6 = + 64 E4 + 6 x1 - 3 x2 - 5 x3 - 8 x4 + 3 x5 + 8 x6 = - 14 E5 - 6 x1 - 6 x2 + 3 x3 - 2 x4 + 2 x5 - 7 x6 = + 15 E6 - 2 x1 - 8 x2 + 7 x3 - 8 x4 - 3 x5 - 2 x6 = - 68 7 E1 + 6 x1 + 1 x2 - 2 x3 - 8 x4 - 1 x5 + 2 x6 = + 59 E2 - 5 x1 - 7 x2 + 6 x3 + 8 x4 + 5 x5 + 1 x6 = - 69 E3 + 9 x1 + 7 x2 - 6 x3 + 2 x4 - 8 x5 - 2 x6 = + 73 E4 - 4 x1 + 4 x2 + 4 x3 + 2 x4 - 2 x5 - 6 x6 = + 8 E5 + 2 x1 - 4 x2 - 8 x3 - 3 x4 - 3 x5 - 6 x6 = + 77 E6 + 9 x1 - 4 x2 + 3 x3 - 5 x4 + 6 x5 - 3 x6 = + 97 8 E1 - 7 x1 + 5 x2 - 4 x3 + 1 x4 + 7 x5 + 2 x6 = + 58 E2 - 1 x1 + 4 x2 - 3 x3 - 5 x4 + 9 x5 + 3 x6 = + 60 E3 - 1 x1 - 2 x2 - 7 x3 - 1 x4 + 7 x5 + 4 x6 = + 89 E4 - 4 x1 + 8 x2 - 5 x3 + 6 x4 + 8 x5 - 2 x6 = + 58 E5 - 5 x1 - 3 x2 - 1 x3 - 8 x4 - 4 x5 - 3 x6 = + 32 E6 - 3 x1 - 2 x2 + 8 x3 - 8 x4 - 6 x5 + 3 x6 = - 75
  • 3. 9 E1 - 8 x1 - 2 x2 - 4 x3 + 4 x4 - 8 x5 - 8 x6 = - 32 E2 - 6 x1 + 4 x2 - 7 x3 + 6 x4 + 7 x5 + 5 x6 = - 109 E3 + 9 x1 - 7 x2 + 8 x3 + 7 x4 - 1 x5 + 7 x6 = + 116 E4 + 7 x1 + 6 x2 + 5 x3 + 7 x4 + 9 x5 - 4 x6 = + 114 E5 + 8 x1 + 9 x2 - 7 x3 - 6 x4 + 7 x5 - 3 x6 = + 5 E6 - 6 x1 + 8 x2 + 2 x3 - 6 x4 - 1 x5 - 3 x6 = - 80 10 E1 + 8 x1 + 9 x2 + 9 x3 + 5 x4 + 3 x5 - 4 x6 = - 59 E2 - 8 x1 + 5 x2 - 8 x3 + 8 x4 - 1 x5 + 5 x6 = + 17 E3 + 9 x1 + 1 x2 - 6 x3 - 4 x4 + 2 x5 + 8 x6 = + 137 E4 - 3 x1 + 6 x2 - 8 x3 - 5 x4 + 6 x5 - 7 x6 = + 124 E5 + 6 x1 + 5 x2 + 6 x3 + 6 x4 + 8 x5 + 4 x6 = - 60 E6 + 7 x1 + 8 x2 - 6 x3 + 6 x4 + 9 x5 + 8 x6 = + 76 11 E1 - 8 x1 + 7 x2 - 4 x3 - 6 x4 + 7 x5 - 3 x6 = + 20 E2 + 2 x1 + 4 x2 - 8 x3 - 1 x4 + 2 x5 - 8 x6 = + 22 E3 - 7 x1 + 8 x2 - 4 x3 - 5 x4 + 4 x5 + 9 x6 = + 16 E4 - 5 x1 + 5 x2 - 6 x3 - 4 x4 + 9 x5 + 6 x6 = + 70 E5 + 4 x1 + 8 x2 - 2 x3 - 6 x4 - 4 x5 + 4 x6 = + 18 E6 + 3 x1 - 5 x2 - 1 x3 - 5 x4 - 5 x5 + 8 x6 = + 67 12 E1 - 3 x1 - 5 x2 - 6 x3 - 8 x4 - 1 x5 - 2 x6 = - 2 E2 - 4 x1 - 6 x2 - 4 x3 + 3 x4 + 4 x5 + 6 x6 = - 93 E3 - 7 x1 - 2 x2 + 4 x3 - 8 x4 + 4 x5 - 6 x6 = + 122 E4 + 8 x1 + 6 x2 + 8 x3 + 4 x4 + 8 x5 - 8 x6 = + 176 E5 + 4 x1 - 8 x2 + 5 x3 - 9 x4 - 5 x5 + 6 x6 = + 48 E6 - 4 x1 + 8 x2 - 4 x3 - 3 x4 + 3 x5 + 3 x6 = - 68
  • 4. 13 E1 - 9 x1 + 8 x2 - 8 x3 + 2 x4 + 2 x5 - 8 x6 = + 2 E2 - 6 x1 - 4 x2 + 7 x3 + 2 x4 + 3 x5 + 8 x6 = + 117 E3 + 8 x1 + 4 x2 + 3 x3 + 5 x4 + 8 x5 - 5 x6 = - 102 E4 + 5 x1 - 4 x2 - 7 x3 + 6 x4 + 7 x5 + 8 x6 = + 61 E5 - 8 x1 + 5 x2 + 6 x3 + 7 x4 - 6 x5 - 8 x6 = - 85 E6 + 8 x1 + 6 x2 - 3 x3 - 4 x4 - 3 x5 + 7 x6 = - 19 14 E1 + 6 x1 - 7 x2 + 5 x3 + 4 x4 - 2 x5 - 4 x6 = + 17 E2 + 1 x1 - 6 x2 - 4 x3 - 4 x4 + 7 x5 - 6 x6 = - 28 E3 + 2 x1 + 6 x2 - 8 x3 - 2 x4 - 7 x5 - 3 x6 = + 112 E4 - 9 x1 + 3 x2 + 1 x3 - 1 x4 - 4 x5 - 3 x6 = - 32 E5 - 6 x1 + 5 x2 - 2 x3 - 3 x4 - 7 x5 + 2 x6 = + 16 E6 - 8 x1 + 8 x2 - 9 x3 - 2 x4 + 7 x5 - 4 x6 = - 32 15 E1 + 7 x1 + 1 x2 - 4 x3 - 3 x4 + 2 x5 - 9 x6 = - 88 E2 - 3 x1 - 4 x2 + 9 x3 - 5 x4 - 8 x5 + 5 x6 = + 93 E3 - 2 x1 + 6 x2 - 5 x3 - 8 x4 - 2 x5 + 5 x6 = + 54 E4 + 4 x1 + 1 x2 + 4 x3 - 1 x4 - 4 x5 + 6 x6 = + 33 E5 + 2 x1 + 3 x2 + 2 x3 - 8 x4 - 1 x5 - 1 x6 = - 2 E6 + 5 x1 - 9 x2 - 2 x3 - 5 x4 - 1 x5 - 8 x6 = - 20 16 E1 - 2 x1 + 8 x2 + 7 x3 + 8 x4 + 5 x5 - 4 x6 = + 102 E2 + 1 x1 - 8 x2 - 7 x3 + 5 x4 - 2 x5 - 2 x6 = - 61 E3 - 7 x1 - 4 x2 - 8 x3 + 8 x4 + 8 x5 + 6 x6 = - 56 E4 - 2 x1 - 8 x2 + 1 x3 - 9 x4 - 3 x5 - 7 x6 = - 91 E5 + 8 x1 - 1 x2 + 1 x3 + 7 x4 - 2 x5 - 9 x6 = + 14 E6 + 6 x1 + 7 x2 + 4 x3 - 5 x4 - 8 x5 - 9 x6 = + 57
  • 5. 17 E1 - 7 x1 - 9 x2 + 3 x3 + 7 x4 - 8 x5 + 7 x6 = - 34 E2 + 6 x1 + 8 x2 - 6 x3 + 9 x4 + 5 x5 + 4 x6 = - 113 E3 - 2 x1 - 1 x2 - 4 x3 - 4 x4 - 7 x5 - 9 x6 = + 81 E4 + 5 x1 - 2 x2 - 1 x3 + 3 x4 + 6 x5 + 4 x6 = - 41 E5 + 6 x1 + 3 x2 - 5 x3 - 4 x4 + 3 x5 - 4 x6 = + 27 E6 - 2 x1 + 8 x2 + 7 x3 - 2 x4 + 6 x5 - 1 x6 = - 12 18 E1 - 7 x1 - 5 x2 - 8 x3 - 4 x4 + 3 x5 + 8 x6 = - 81 E2 + 2 x1 - 8 x2 - 8 x3 + 9 x4 + 9 x5 + 8 x6 = + 63 E3 - 5 x1 - 4 x2 - 3 x3 + 6 x4 + 8 x5 - 2 x6 = + 28 E4 + 5 x1 - 3 x2 + 4 x3 - 7 x4 + 2 x5 + 3 x6 = - 48 E5 - 4 x1 + 3 x2 - 5 x3 - 2 x4 + 8 x5 + 3 x6 = + 12 E6 - 2 x1 - 8 x2 + 1 x3 - 8 x4 + 8 x5 + 2 x6 = - 91 19 E1 - 4 x1 - 9 x2 + 2 x3 + 2 x4 + 7 x5 + 8 x6 = + 122 E2 - 3 x1 + 1 x2 + 7 x3 - 2 x4 - 6 x5 - 7 x6 = - 64 E3 + 6 x1 + 4 x2 + 3 x3 - 3 x4 - 5 x5 + 4 x6 = + 34 E4 + 7 x1 - 8 x2 + 7 x3 + 8 x4 - 7 x5 - 6 x6 = + 29 E5 + 6 x1 - 7 x2 - 7 x3 - 4 x4 + 6 x5 + 5 x6 = + 67 E6 - 8 x1 + 5 x2 + 7 x3 + 2 x4 + 1 x5 + 5 x6 = + 35 20 E1 + 8 x1 - 7 x2 - 6 x3 - 7 x4 + 2 x5 - 3 x6 = + 12 E2 - 1 x1 + 8 x2 + 2 x3 - 7 x4 + 2 x5 - 4 x6 = - 145 E3 + 2 x1 + 4 x2 - 5 x3 + 4 x4 - 7 x5 + 6 x6 = + 66 E4 + 7 x1 - 4 x2 + 6 x3 + 5 x4 - 6 x5 - 9 x6 = + 150 E5 - 3 x1 - 5 x2 + 6 x3 - 5 x4 + 3 x5 + 5 x6 = + 15 E6 - 5 x1 - 6 x2 + 7 x3 - 2 x4 + 2 x5 + 5 x6 = + 40
  • 6. 21 E1 - 6 x1 - 4 x2 + 8 x3 - 8 x4 - 9 x5 + 7 x6 = + 53 E2 + 9 x1 - 4 x2 - 3 x3 - 7 x4 - 2 x5 + 3 x6 = + 119 E3 - 2 x1 + 8 x2 - 5 x3 + 5 x4 + 1 x5 - 4 x6 = - 118 E4 + 5 x1 - 8 x2 + 8 x3 + 7 x4 + 4 x5 - 1 x6 = + 66 E5 + 9 x1 + 7 x2 + 5 x3 - 5 x4 + 6 x5 - 7 x6 = + 65 E6 - 5 x1 - 1 x2 + 2 x3 + 4 x4 + 7 x5 + 1 x6 = - 15 22 E1 - 2 x1 - 2 x2 - 7 x3 - 1 x4 - 2 x5 - 7 x6 = + 45 E2 + 7 x1 - 2 x2 - 2 x3 - 1 x4 + 2 x5 - 3 x6 = + 66 E3 + 8 x1 - 6 x2 + 3 x3 - 5 x4 + 9 x5 + 3 x6 = - 16 E4 + 8 x1 - 8 x2 - 7 x3 + 3 x4 + 2 x5 - 2 x6 = + 61 E5 + 7 x1 + 6 x2 + 4 x3 - 6 x4 - 7 x5 + 6 x6 = - 2 E6 + 6 x1 + 4 x2 - 2 x3 + 2 x4 - 2 x5 + 5 x6 = + 56 23 E1 - 2 x1 + 2 x2 - 8 x3 - 8 x4 - 9 x5 - 3 x6 = - 28 E2 + 3 x1 + 5 x2 + 8 x3 + 5 x4 + 7 x5 + 3 x6 = + 46 E3 + 2 x1 + 2 x2 + 4 x3 - 4 x4 + 3 x5 + 5 x6 = + 20 E4 + 8 x1 - 5 x2 + 4 x3 + 3 x4 + 5 x5 - 2 x6 = - 70 E5 + 1 x1 - 4 x2 - 4 x3 + 5 x4 - 1 x5 + 3 x6 = + 22 E6 - 6 x1 - 4 x2 + 5 x3 + 4 x4 - 8 x5 - 2 x6 = - 61 24 E1 + 3 x1 + 1 x2 - 3 x3 - 5 x4 + 5 x5 + 3 x6 = + 26 E2 + 2 x1 - 3 x2 - 9 x3 - 5 x4 + 1 x5 - 3 x6 = + 80 E3 - 2 x1 - 4 x2 - 5 x3 - 2 x4 + 5 x5 + 5 x6 = - 34 E4 - 7 x1 + 2 x2 + 7 x3 + 2 x4 + 7 x5 + 4 x6 = - 146 E5 + 2 x1 - 9 x2 + 7 x3 + 3 x4 - 2 x5 - 2 x6 = - 38 E6 + 4 x1 + 2 x2 + 4 x3 - 7 x4 - 8 x5 - 8 x6 = + 148
  • 7. 25 E1 + 4 x1 + 9 x2 + 2 x3 + 3 x4 + 3 x5 - 3 x6 = + 65 E2 + 9 x1 + 3 x2 + 8 x3 + 4 x4 - 5 x5 - 4 x6 = + 153 E3 + 3 x1 - 6 x2 - 2 x3 - 5 x4 + 6 x5 + 8 x6 = - 118 E4 - 2 x1 + 5 x2 + 4 x3 + 3 x4 + 7 x5 - 2 x6 = + 37 E5 - 2 x1 - 7 x2 - 4 x3 + 3 x4 - 5 x5 + 5 x6 = - 51 E6 + 1 x1 - 7 x2 + 7 x3 - 2 x4 + 4 x5 - 2 x6 = + 39 26 E1 - 4 x1 + 5 x2 - 8 x3 + 6 x4 + 4 x5 - 1 x6 = + 59 E2 - 7 x1 + 3 x2 + 4 x3 + 3 x4 - 4 x5 - 7 x6 = + 24 E3 + 2 x1 + 7 x2 + 4 x3 - 6 x4 + 1 x5 + 8 x6 = + 84 E4 - 4 x1 - 6 x2 + 3 x3 + 2 x4 + 4 x5 + 8 x6 = - 1 E5 - 1 x1 - 9 x2 - 4 x3 + 6 x4 - 8 x5 + 7 x6 = - 75 E6 + 7 x1 - 5 x2 + 4 x3 + 8 x4 + 3 x5 - 8 x6 = - 128 27 E1 + 6 x1 - 4 x2 + 8 x3 + 7 x4 - 2 x5 + 7 x6 = + 25 E2 + 4 x1 + 4 x2 - 5 x3 + 6 x4 + 8 x5 + 9 x6 = + 12 E3 - 3 x1 + 5 x2 - 9 x3 + 9 x4 + 9 x5 - 4 x6 = - 86 E4 + 8 x1 - 2 x2 - 3 x3 + 4 x4 + 6 x5 + 5 x6 = + 12 E5 + 9 x1 + 7 x2 - 4 x3 + 8 x4 + 8 x5 - 3 x6 = - 2 E6 - 7 x1 + 9 x2 + 4 x3 - 5 x4 - 5 x5 + 7 x6 = + 64 28 E1 + 2 x1 + 2 x2 - 7 x3 + 6 x4 + 7 x5 + 8 x6 = + 154 E2 + 7 x1 - 2 x2 - 4 x3 + 7 x4 + 8 x5 - 6 x6 = + 37 E3 - 2 x1 - 6 x2 + 6 x3 - 2 x4 - 1 x5 + 4 x6 = - 74 E4 + 3 x1 + 3 x2 + 7 x3 - 2 x4 + 4 x5 - 3 x6 = - 16 E5 - 1 x1 - 9 x2 + 8 x3 - 6 x4 + 7 x5 - 7 x6 = - 118 E6 - 5 x1 + 1 x2 + 7 x3 + 3 x4 + 1 x5 - 5 x6 = - 94
  • 8. 29 E1 - 8 x1 + 4 x2 + 1 x3 + 5 x4 - 6 x5 - 7 x6 = - 34 E2 + 6 x1 - 4 x2 - 2 x3 + 7 x4 + 7 x5 - 4 x6 = - 7 E3 + 3 x1 + 1 x2 - 8 x3 - 9 x4 - 3 x5 + 5 x6 = - 21 E4 + 4 x1 - 5 x2 - 8 x3 + 4 x4 - 7 x5 + 7 x6 = - 35 E5 - 7 x1 - 3 x2 - 5 x3 + 7 x4 - 8 x5 - 9 x6 = - 106 E6 + 5 x1 + 9 x2 + 3 x3 + 1 x4 - 9 x5 + 5 x6 = + 78 30 E1 - 8 x1 - 5 x2 + 6 x3 + 2 x4 + 2 x5 + 5 x6 = + 44 E2 + 2 x1 - 2 x2 - 2 x3 + 7 x4 + 8 x5 + 3 x6 = + 124 E3 - 2 x1 - 5 x2 + 3 x3 - 4 x4 + 2 x5 + 4 x6 = - 15 E4 + 8 x1 + 3 x2 - 5 x3 + 3 x4 - 5 x5 + 8 x6 = + 17 E5 - 2 x1 + 9 x2 + 5 x3 + 7 x4 - 4 x5 - 8 x6 = + 14 E6 - 8 x1 + 8 x2 + 9 x3 - 8 x4 - 5 x5 - 5 x6 = - 80 31 E1 + 4 x1 - 7 x2 + 9 x3 - 7 x4 + 8 x5 - 9 x6 = + 8 E2 - 2 x1 + 9 x2 + 8 x3 - 5 x4 - 3 x5 + 7 x6 = - 162 E3 - 5 x1 + 4 x2 + 5 x3 - 2 x4 - 6 x5 - 7 x6 = - 71 E4 + 6 x1 - 2 x2 - 8 x3 + 9 x4 - 4 x5 + 8 x6 = + 41 E5 + 7 x1 - 7 x2 - 5 x3 + 9 x4 - 2 x5 + 9 x6 = + 53 E6 - 2 x1 + 8 x2 + 5 x3 - 2 x4 + 1 x5 - 5 x6 = - 57 32 E1 - 3 x1 - 6 x2 - 3 x3 + 3 x4 + 8 x5 + 5 x6 = - 98 E2 - 6 x1 - 8 x2 - 6 x3 - 1 x4 - 9 x5 + 8 x6 = - 26 E3 + 7 x1 + 8 x2 + 5 x3 - 8 x4 + 3 x5 + 4 x6 = + 18 E4 + 4 x1 - 3 x2 - 5 x3 + 8 x4 + 8 x5 - 9 x6 = - 36 E5 - 5 x1 + 3 x2 + 2 x3 - 4 x4 + 3 x5 - 4 x6 = + 34 E6 + 5 x1 - 5 x2 - 1 x3 + 5 x4 - 3 x5 + 2 x6 = - 8