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Sistmas de 7x7

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Edgar Mata
Edgar Mata

The document contains 10 systems of linear equations with 7 unknown variables (x1, x2, x3, x4, x5, x6, x7) in each system. The coefficients and constants of the linear equations are provided in a table with 10 rows for each system.

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-6 -5 +5 -8 +4 +2 -8 1 E1 - 4 x1 + 4 x2 - 3 x3 + 8 x4 - 8 x5 + 4 x6 + 2 x7 = - 115 E2 + 9 x1 - 3 x2 - 2 x3 + 5 x4 + 7 x5 + 5 x6 + 3 x7 = - 75 E3 - 6 x1 - 3 x2 + 2 x3 - 1 x4 + 3 x5 + 7 x6 - 5 x7 = + 135 E4 + 2 x1 + 4 x2 + 8 x3 - 3 x4 + 7 x5 - 7 x6 + 7 x7 = - 10 E5 - 3 x1 + 7 x2 - 3 x3 - 4 x4 + 5 x5 - 8 x6 + 4 x7 = - 28 E6 - 9 x1 - 4 x2 - 7 x3 - 4 x4 + 2 x5 - 1 x6 + 8 x6 = + 13 E7 - 8 x1 - 2 x2 - 8 x3 - 8 x4 - 4 x5 + 1 x6 + 7 x6 = + 12 -8 -8 +9 +4 -7 +2 +8 2 E1 - 7 x1 + 9 x2 - 2 x3 - 2 x4 + 5 x5 + 4 x6 - 5 x7 = - 109 E2 - 3 x1 - 8 x2 + 2 x3 + 6 x4 + 6 x5 - 1 x6 + 6 x7 = + 134 E3 + 6 x1 - 1 x2 + 2 x3 - 2 x4 + 8 x5 - 8 x6 + 2 x7 = - 86 E4 + 8 x1 - 1 x2 - 2 x3 - 6 x4 + 4 x5 + 5 x6 - 4 x7 = - 148 E5 - 2 x1 - 1 x2 + 1 x3 - 7 x4 + 3 x5 + 9 x6 - 4 x7 = - 30 E6 - 3 x1 - 6 x2 - 5 x3 - 2 x4 + 8 x5 + 3 x6 + 8 x6 = + 33 E7 - 7 x1 + 4 x2 + 2 x3 - 6 x4 + 8 x5 + 3 x6 + 6 x6 = + 16 +7 -3 +2 -8 +1 -7 -5 3 E1 - 4 x1 + 6 x2 + 6 x3 - 8 x4 - 7 x5 + 2 x6 + 7 x7 = - 26 E2 + 5 x1 - 8 x2 - 5 x3 - 3 x4 + 4 x5 - 3 x6 - 8 x7 = + 138 E3 - 9 x1 - 2 x2 - 3 x3 + 7 x4 + 4 x5 + 1 x6 + 7 x7 = - 157 E4 + 8 x1 + 6 x2 + 7 x3 + 2 x4 - 7 x5 - 6 x6 - 8 x7 = + 111 E5 + 4 x1 - 6 x2 - 6 x3 - 3 x4 + 5 x5 - 8 x6 + 4 x7 = + 99 E6 + 3 x1 - 1 x2 + 2 x3 - 3 x4 + 5 x5 - 5 x6 + 6 x6 = + 62 E7 + 3 x1 - 6 x2 - 9 x3 - 2 x4 - 8 x5 - 8 x6 - 4 x6 = + 105 -5 +7 -8 -3 -5 -5 +2 4 E1 - 7 x1 + 3 x2 - 8 x3 + 9 x4 + 2 x5 + 9 x6 + 2 x7 = + 42 E2 + 6 x1 - 4 x2 - 4 x3 + 7 x4 - 8 x5 + 5 x6 - 1 x7 = - 34 E3 + 4 x1 + 7 x2 + 5 x3 - 6 x4 - 9 x5 - 3 x6 + 7 x7 = + 81 E4 - 6 x1 - 3 x2 - 8 x3 - 2 x4 + 3 x5 + 8 x6 + 3 x7 = + 30 E5 + 7 x1 + 4 x2 + 4 x3 + 7 x4 + 7 x5 - 8 x6 + 5 x7 = - 45 E6 + 6 x1 + 4 x2 + 7 x3 + 9 x4 - 1 x5 + 5 x6 + 5 x6 = - 95 E7 + 4 x1 - 9 x2 + 3 x3 - 9 x4 + 5 x5 + 4 x6 + 7 x6 = - 111
+7 -6 -2 -6 +7 +3 +3 5 E1 - 6 x1 + 2 x2 - 2 x3 + 4 x4 - 5 x5 - 2 x6 - 2 x7 = - 121 E2 - 6 x1 + 6 x2 + 2 x3 - 9 x4 + 3 x5 - 5 x6 - 3 x7 = - 31 E3 - 6 x1 + 8 x2 - 2 x3 + 3 x4 + 2 x5 - 7 x6 - 4 x7 = - 123 E4 + 4 x1 + 9 x2 - 1 x3 - 4 x4 + 7 x5 - 9 x6 + 1 x7 = + 25 E5 - 6 x1 + 4 x2 + 6 x3 + 4 x4 + 8 x5 + 7 x6 - 2 x7 = - 31 E6 + 2 x1 + 7 x2 - 4 x3 + 8 x4 + 7 x5 + 2 x6 - 3 x6 = - 22 E7 - 8 x1 - 2 x2 - 4 x3 - 3 x4 - 2 x5 - 1 x6 - 9 x6 = - 62 +9 -8 +2 +9 +5 +3 +1 6 E1 + 6 x1 + 6 x2 + 8 x3 + 9 x4 + 3 x5 - 3 x6 + 9 x7 = + 118 E2 - 4 x1 + 8 x2 - 7 x3 + 4 x4 + 2 x5 + 9 x6 - 8 x7 = - 49 E3 + 7 x1 + 8 x2 - 9 x3 - 3 x4 + 6 x5 + 5 x6 + 5 x7 = +4 E4 - 8 x1 + 4 x2 - 6 x3 + 4 x4 - 3 x5 - 8 x6 - 7 x7 = - 126 E5 - 6 x1 - 9 x2 + 8 x3 - 5 x4 + 7 x5 + 4 x6 - 7 x7 = + 29 E6 + 4 x1 + 4 x2 - 6 x3 - 1 x4 - 5 x5 + 4 x6 - 7 x6 = - 37 E7 - 5 x1 - 5 x2 - 6 x3 + 7 x4 + 3 x5 + 5 x6 + 3 x6 = + 79 -3 -7 +6 -7 +4 -5 +5 7 E1 - 7 x1 - 7 x2 - 4 x3 - 6 x4 + 7 x5 - 3 x6 - 6 x7 = + 101 E2 - 8 x1 - 1 x2 + 7 x3 + 8 x4 - 4 x5 - 4 x6 - 7 x7 = - 14 E3 - 6 x1 + 4 x2 + 6 x3 + 3 x4 - 8 x5 - 3 x6 + 8 x7 = + 28 E4 + 7 x1 - 8 x2 - 7 x3 + 2 x4 - 7 x5 + 6 x6 + 8 x7 = - 39 E5 + 7 x1 + 1 x2 - 4 x3 + 2 x4 - 3 x5 - 2 x6 + 3 x7 = - 53 E6 - 7 x1 - 6 x2 + 7 x3 + 8 x4 + 4 x5 + 3 x6 - 2 x6 = + 40 E7 - 7 x1 + 4 x2 - 6 x3 - 1 x4 - 5 x5 - 2 x6 + 7 x6 = - 11 -3 +8 +8 -3 -3 +4 -4 8 E1 + 4 x1 + 1 x2 + 1 x3 - 4 x4 + 5 x5 - 2 x6 + 8 x7 = - 39 E2 - 2 x1 - 9 x2 + 2 x3 - 7 x4 + 6 x5 + 2 x6 - 2 x7 = - 31 E3 - 8 x1 - 5 x2 - 5 x3 - 9 x4 - 3 x5 - 8 x6 + 5 x7 = - 72 E4 + 6 x1 - 6 x2 - 3 x3 + 2 x4 - 8 x5 + 2 x6 - 4 x7 = - 48 E5 + 4 x1 + 8 x2 - 5 x3 - 6 x4 + 3 x5 - 1 x6 - 3 x7 = + 29 E6 - 3 x1 - 2 x2 - 4 x3 + 7 x4 + 3 x5 + 6 x6 - 5 x6 = - 25 E7 - 7 x1 + 5 x2 - 3 x3 + 3 x4 + 2 x5 + 8 x6 + 8 x6 = + 22
+6 -5 -7 +6 +7 -8 -8 9 E1 - 6 x1 - 4 x2 + 6 x3 + 6 x4 + 8 x5 - 6 x6 - 4 x7 = + 114 E2 + 1 x1 + 3 x2 - 4 x3 + 1 x4 + 5 x5 - 4 x6 - 1 x7 = + 100 E3 - 4 x1 - 6 x2 + 6 x3 + 9 x4 - 4 x5 - 2 x6 - 4 x7 = + 38 E4 - 8 x1 + 4 x2 - 7 x3 + 2 x4 - 4 x5 + 8 x6 + 7 x7 = - 155 E5 - 4 x1 - 3 x2 - 8 x3 - 8 x4 + 2 x5 + 8 x6 + 4 x7 = - 83 E6 - 5 x1 - 3 x2 + 5 x3 - 7 x4 + 5 x5 + 3 x6 + 7 x6 = - 137 E7 - 2 x1 + 6 x2 - 4 x3 - 8 x4 - 6 x5 + 5 x6 - 7 x6 = - 88 -3 -7 +1 -5 -5 +6 +8 10 E1 - 4 x1 + 7 x2 - 8 x3 + 6 x4 + 2 x5 - 3 x6 + 8 x7 = - 39 E2 + 6 x1 + 9 x2 - 5 x3 + 3 x4 + 3 x5 + 8 x6 + 4 x7 = - 36 E3 + 4 x1 + 7 x2 + 8 x3 + 8 x4 - 3 x5 + 2 x6 - 7 x7 = - 122 E4 + 2 x1 + 1 x2 + 5 x3 - 5 x4 - 7 x5 + 8 x6 + 1 x7 = + 108 E5 - 4 x1 + 8 x2 - 5 x3 - 4 x4 - 3 x5 - 2 x6 - 2 x7 = - 42 E6 - 5 x1 + 5 x2 + 6 x3 - 3 x4 - 8 x5 + 4 x6 - 7 x6 = +9 E7 - 5 x1 - 1 x2 + 2 x3 + 2 x4 - 4 x5 - 7 x6 + 4 x6 = + 24 +6 +3 -6 +4 -6 +9 -9 11 E1 - 6 x1 + 5 x2 + 2 x3 - 6 x4 - 2 x5 + 6 x6 + 3 x7 = - 18 E2 + 4 x1 + 6 x2 + 5 x3 - 4 x4 - 8 x5 - 6 x6 + 8 x7 = - 82 E3 - 7 x1 + 2 x2 - 5 x3 - 2 x4 + 8 x5 - 9 x6 + 5 x7 = - 188 E4 - 5 x1 - 8 x2 + 9 x3 - 3 x4 + 1 x5 + 7 x6 - 2 x7 = - 45 E5 + 4 x1 + 9 x2 + 6 x3 + 1 x4 + 2 x5 + 7 x6 - 7 x7 = + 133 E6 - 7 x1 + 1 x2 - 3 x3 - 7 x4 + 4 x5 - 4 x6 - 9 x6 = - 28 E7 - 4 x1 - 3 x2 + 8 x3 + 7 x4 + 3 x5 + 6 x6 - 2 x6 = +1 +8 -6 +6 +6 -7 +7 -7 12 E1 + 7 x1 - 3 x2 - 5 x3 + 2 x4 - 2 x5 - 5 x6 - 3 x7 = + 56 E2 - 8 x1 - 4 x2 + 8 x3 + 8 x4 + 6 x5 - 8 x6 - 4 x7 = - 14 E3 + 5 x1 + 2 x2 + 6 x3 - 2 x4 - 5 x5 - 8 x6 + 4 x7 = +3 E4 - 5 x1 + 4 x2 - 8 x3 + 5 x4 - 8 x5 + 5 x6 + 5 x7 = - 26 E5 - 5 x1 + 6 x2 + 9 x3 + 5 x4 - 8 x5 + 4 x6 - 6 x7 = + 134 E6 - 6 x1 - 5 x2 - 6 x3 + 8 x4 - 8 x5 - 3 x6 - 8 x6 = + 85 E7 - 7 x1 - 5 x2 - 2 x3 + 8 x4 + 2 x5 - 6 x6 + 3 x6 = - 67
+6 -6 -3 +9 -8 +2 +9 13 E1 - 5 x1 + 5 x2 + 5 x3 + 1 x4 + 8 x5 - 5 x6 - 7 x7 = - 203 E2 + 8 x1 - 2 x2 + 6 x3 + 7 x4 - 5 x5 - 6 x6 - 4 x7 = + 97 E3 + 1 x1 + 1 x2 + 3 x3 - 3 x4 - 8 x5 + 6 x6 + 5 x7 = + 85 E4 - 5 x1 - 6 x2 - 2 x3 + 3 x4 - 3 x5 - 8 x6 - 5 x7 = +2 E5 + 5 x1 - 3 x2 + 3 x3 + 5 x4 + 5 x5 + 2 x6 - 2 x7 = + 30 E6 + 6 x1 + 9 x2 - 8 x3 - 8 x4 - 4 x5 + 2 x6 + 2 x6 = - 12 E7 + 7 x1 - 2 x2 - 4 x3 - 1 x4 - 3 x5 - 8 x6 + 2 x6 = + 83 +4 +2 -3 -9 -5 +5 -5 14 E1 + 5 x1 - 2 x2 + 5 x3 + 6 x4 - 3 x5 + 3 x6 + 2 x7 = - 33 E2 + 3 x1 - 6 x2 + 2 x3 - 5 x4 - 1 x5 + 6 x6 + 3 x7 = + 59 E3 - 1 x1 - 6 x2 + 8 x3 + 7 x4 + 3 x5 + 3 x6 + 6 x7 = - 133 E4 + 3 x1 - 3 x2 - 2 x3 - 3 x4 + 8 x5 - 1 x6 + 2 x7 = - 16 E5 + 1 x1 + 6 x2 + 6 x3 - 2 x4 + 7 x5 - 2 x6 + 7 x7 = - 64 E6 + 4 x1 + 9 x2 - 3 x3 + 1 x4 - 4 x5 - 3 x6 + 4 x6 = + 19 E7 + 3 x1 + 5 x2 + 1 x3 - 9 x4 - 5 x5 - 8 x6 - 4 x6 = + 105 +4 +4 +6 -7 +5 -2 -8 15 E1 - 7 x1 + 8 x2 - 2 x3 - 3 x4 - 5 x5 + 3 x6 + 6 x7 = - 66 E2 + 4 x1 - 7 x2 + 8 x3 - 8 x4 + 3 x5 + 2 x6 + 5 x7 = + 63 E3 + 8 x1 - 2 x2 - 4 x3 - 4 x4 + 8 x5 + 1 x6 + 9 x7 = -6 E4 + 2 x1 - 4 x2 - 5 x3 - 7 x4 + 3 x5 + 3 x6 - 5 x7 = + 60 E5 + 6 x1 - 8 x2 + 6 x3 + 6 x4 - 6 x5 - 4 x6 - 6 x7 = + 12 E6 + 3 x1 + 8 x2 + 1 x3 + 8 x4 + 6 x5 + 8 x6 + 5 x6 = - 32 E7 - 2 x1 + 6 x2 - 5 x3 + 6 x4 + 6 x5 - 2 x6 + 9 x6 = - 94 +2 -2 -4 -9 +3 -7 +6 16 E1 - 5 x1 - 4 x2 - 9 x3 - 1 x4 + 2 x5 + 3 x6 + 7 x7 = + 70 E2 - 7 x1 - 3 x2 + 7 x3 + 2 x4 + 3 x5 - 8 x6 + 2 x7 = + 23 E3 + 8 x1 + 3 x2 + 4 x3 - 4 x4 + 3 x5 + 8 x6 - 5 x7 = - 47 E4 + 5 x1 + 8 x2 - 7 x3 + 3 x4 - 6 x5 + 6 x6 + 9 x7 = - 11 E5 + 6 x1 - 8 x2 - 9 x3 - 7 x4 + 2 x5 + 5 x6 + 9 x7 = + 152 E6 + 3 x1 - 4 x2 + 3 x3 - 7 x4 - 6 x5 - 6 x6 - 7 x6 = + 47 E7 - 7 x1 - 2 x2 + 2 x3 + 3 x4 + 5 x5 - 2 x6 - 8 x6 = - 64
-5 +8 +7 +9 +4 -2 +7 17 E1 - 4 x1 + 3 x2 - 2 x3 + 3 x4 + 6 x5 + 9 x6 - 6 x7 = + 21 E2 + 8 x1 - 5 x2 - 8 x3 + 7 x4 + 4 x5 - 7 x6 + 3 x7 = - 22 E3 + 4 x1 - 8 x2 - 6 x3 + 6 x4 - 7 x5 + 2 x6 - 5 x7 = - 139 E4 + 1 x1 + 6 x2 - 5 x3 + 6 x4 - 8 x5 - 4 x6 + 6 x7 = + 80 E5 - 2 x1 + 1 x2 - 2 x3 + 2 x4 - 6 x5 + 7 x6 + 6 x7 = + 26 E6 - 8 x1 + 8 x2 - 3 x3 - 4 x4 + 5 x5 - 1 x6 - 5 x6 = + 34 E7 - 3 x1 - 6 x2 + 7 x3 + 8 x4 + 7 x5 + 6 x6 - 4 x6 = + 76 -4 -4 -7 -9 -2 +3 -2 18 E1 - 4 x1 - 2 x2 + 4 x3 - 5 x4 + 5 x5 + 4 x6 + 9 x7 = + 25 E2 + 9 x1 - 2 x2 - 7 x3 - 6 x4 - 6 x5 - 8 x6 + 7 x7 = + 49 E3 + 3 x1 + 6 x2 - 9 x3 + 8 x4 + 6 x5 - 9 x6 - 9 x7 = - 66 E4 - 9 x1 - 4 x2 - 3 x3 - 7 x4 + 8 x5 - 4 x6 - 5 x7 = + 118 E5 + 3 x1 + 7 x2 + 6 x3 + 9 x4 + 7 x5 + 4 x6 - 8 x7 = - 149 E6 - 6 x1 + 1 x2 + 3 x3 - 6 x4 - 7 x5 - 7 x6 - 2 x6 = + 50 E7 - 8 x1 - 1 x2 - 1 x3 - 8 x4 + 7 x5 + 5 x6 - 3 x6 = + 122 +7 -8 +6 +2 +6 +4 -2 19 E1 + 5 x1 + 3 x2 - 8 x3 - 8 x4 + 8 x5 - 5 x6 + 4 x7 = - 33 E2 + 3 x1 - 5 x2 - 2 x3 - 4 x4 - 8 x5 + 1 x6 - 9 x7 = + 15 E3 - 7 x1 + 6 x2 - 8 x3 + 4 x4 + 7 x5 - 8 x6 - 4 x7 = - 119 E4 - 4 x1 + 7 x2 - 8 x3 + 6 x4 + 3 x5 + 8 x6 + 7 x7 = - 84 E5 - 3 x1 - 3 x2 + 2 x3 - 2 x4 + 7 x5 - 3 x6 - 5 x7 = + 51 E6 - 3 x1 - 7 x2 - 7 x3 + 4 x4 + 5 x5 + 5 x6 - 3 x6 = + 57 E7 + 4 x1 - 8 x2 - 6 x3 + 6 x4 + 7 x5 - 4 x6 - 9 x6 = + 112 +7 +5 -4 -8 +8 +7 -6 20 E1 + 1 x1 - 4 x2 + 6 x3 + 6 x4 - 5 x5 + 2 x6 - 3 x7 = - 93 E2 - 4 x1 + 8 x2 - 3 x3 - 6 x4 - 7 x5 - 7 x6 - 8 x7 = + 15 E3 - 9 x1 - 8 x2 - 2 x3 + 4 x4 + 3 x5 + 2 x6 + 2 x7 = - 101 E4 + 4 x1 + 8 x2 + 8 x3 + 9 x4 + 5 x5 + 3 x6 + 8 x7 = - 23 E5 + 7 x1 + 3 x2 - 3 x3 - 1 x4 + 3 x5 - 9 x6 - 3 x7 = + 63 E6 - 3 x1 + 1 x2 + 4 x3 + 3 x4 + 2 x5 - 4 x6 + 4 x6 = - 92 E7 + 4 x1 - 4 x2 + 7 x3 - 1 x4 + 7 x5 - 9 x6 + 2 x6 = - 31
-9 +8 +3 -6 +6 +4 +4 21 E1 + 6 x1 + 4 x2 + 8 x3 + 5 x4 + 8 x5 + 5 x6 + 5 x7 = + 60 E2 + 5 x1 - 7 x2 + 4 x3 - 5 x4 + 3 x5 - 3 x6 - 9 x7 = - 89 E3 - 9 x1 - 7 x2 - 2 x3 - 1 x4 + 4 x5 - 8 x6 + 8 x7 = + 49 E4 - 9 x1 + 3 x2 - 9 x3 - 3 x4 + 5 x5 + 5 x6 - 7 x7 = + 118 E5 - 7 x1 + 7 x2 - 9 x3 - 4 x4 + 7 x5 - 6 x6 + 4 x7 = + 150 E6 + 2 x1 - 8 x2 + 6 x3 + 2 x4 - 7 x5 - 2 x6 - 7 x6 = - 154 E7 - 8 x1 + 8 x2 + 3 x3 + 8 x4 - 4 x5 - 5 x6 + 4 x6 = + 69 -2 -9 -6 +3 +1 -3 -3 22 E1 - 5 x1 + 8 x2 + 4 x3 - 3 x4 - 1 x5 - 7 x6 + 6 x7 = - 93 E2 - 9 x1 + 5 x2 - 2 x3 - 6 x4 - 9 x5 - 3 x6 + 8 x7 = - 57 E3 + 3 x1 - 2 x2 + 5 x3 + 4 x4 + 4 x5 + 6 x6 - 4 x7 = -8 E4 - 6 x1 + 4 x2 - 1 x3 - 7 x4 - 7 x5 + 7 x6 + 4 x7 = - 79 E5 - 7 x1 - 7 x2 - 5 x3 + 6 x4 - 5 x5 - 8 x6 + 3 x7 = + 135 E6 - 6 x1 - 3 x2 + 2 x3 + 5 x4 - 9 x5 - 9 x6 - 4 x6 = + 72 E7 - 8 x1 - 3 x2 - 6 x3 - 2 x4 - 6 x5 + 1 x6 - 2 x6 = + 70 +3 +8 -2 +7 -2 +3 -8 23 E1 + 5 x1 + 3 x2 - 7 x3 + 3 x4 - 5 x5 - 1 x6 + 6 x7 = + 33 E2 - 9 x1 - 1 x2 + 4 x3 + 2 x4 + 1 x5 - 8 x6 + 3 x7 = - 79 E3 - 5 x1 + 8 x2 + 7 x3 + 6 x4 + 8 x5 - 2 x6 + 2 x7 = + 39 E4 + 5 x1 - 3 x2 - 6 x3 + 8 x4 - 9 x5 + 7 x6 + 1 x7 = + 90 E5 + 3 x1 + 6 x2 + 5 x3 + 4 x4 - 5 x5 - 3 x6 + 5 x7 = + 36 E6 - 8 x1 - 6 x2 + 5 x3 - 8 x4 + 5 x5 - 4 x6 + 2 x6 = - 176 E7 - 9 x1 - 6 x2 + 6 x3 + 5 x4 - 4 x5 + 5 x6 + 3 x6 = - 53 +4 +8 -5 +6 -4 +8 +1 24 E1 - 8 x1 - 6 x2 - 3 x3 + 3 x4 - 8 x5 - 7 x6 + 4 x7 = - 67 E2 + 4 x1 + 5 x2 + 9 x3 + 5 x4 - 6 x5 + 4 x6 - 9 x7 = + 88 E3 + 2 x1 + 6 x2 + 1 x3 - 4 x4 - 3 x5 - 6 x6 - 3 x7 = - 12 E4 + 7 x1 - 7 x2 - 7 x3 - 3 x4 - 7 x5 - 2 x6 + 3 x7 = +4 E5 - 7 x1 + 2 x2 + 3 x3 + 7 x4 + 8 x5 + 5 x6 - 7 x7 = + 16 E6 - 2 x1 - 3 x2 + 9 x3 + 7 x4 - 8 x5 - 8 x6 + 7 x6 = - 60 E7 - 3 x1 - 1 x2 - 8 x3 - 1 x4 + 8 x5 + 6 x6 + 5 x6 = + 35
-3 -5 +6 +6 -4 +7 -2 25 E1 - 2 x1 - 7 x2 - 4 x3 + 5 x4 + 6 x5 - 1 x6 + 6 x7 = +4 E2 - 4 x1 + 2 x2 + 4 x3 - 9 x4 - 5 x5 + 4 x6 + 2 x7 = + 16 E3 - 4 x1 - 3 x2 + 4 x3 + 7 x4 + 7 x5 - 2 x6 - 8 x7 = + 67 E4 + 3 x1 + 7 x2 - 5 x3 + 2 x4 + 2 x5 - 4 x6 - 4 x7 = - 90 E5 + 6 x1 - 8 x2 + 6 x3 - 8 x4 + 5 x5 - 7 x6 - 6 x7 = - 47 E6 - 8 x1 + 5 x2 + 4 x3 - 8 x4 + 7 x5 - 8 x6 - 1 x6 = - 107 E7 + 4 x1 + 8 x2 + 5 x3 - 2 x4 + 6 x5 - 2 x6 - 1 x6 = - 70 -3 -6 -2 -3 -8 +4 -5 26 E1 + 9 x1 + 4 x2 - 3 x3 + 7 x4 + 7 x5 - 6 x6 + 8 x7 = - 186 E2 - 4 x1 + 7 x2 + 4 x3 - 6 x4 - 8 x5 - 6 x6 - 8 x7 = + 60 E3 + 8 x1 + 1 x2 - 7 x3 - 2 x4 + 2 x5 - 6 x6 - 8 x7 = - 10 E4 - 4 x1 - 5 x2 + 7 x3 + 8 x4 + 9 x5 + 6 x6 - 2 x7 = - 34 E5 - 5 x1 + 4 x2 + 1 x3 + 2 x4 - 6 x5 - 3 x6 - 2 x7 = + 29 E6 + 5 x1 + 5 x2 + 1 x3 + 1 x4 - 6 x5 - 7 x6 - 5 x6 = -5 E7 - 3 x1 - 6 x2 + 6 x3 - 9 x4 - 4 x5 - 6 x6 + 6 x6 = + 38 +6 -2 -2 +3 -9 -7 +8 27 E1 - 3 x1 - 1 x2 + 8 x3 - 3 x4 - 8 x5 - 9 x6 + 2 x7 = + 110 E2 - 6 x1 + 9 x2 + 3 x3 - 3 x4 - 3 x5 - 8 x6 + 4 x7 = + 46 E3 + 1 x1 + 5 x2 + 9 x3 - 6 x4 + 8 x5 - 4 x6 - 8 x7 = - 148 E4 - 2 x1 - 8 x2 + 2 x3 + 8 x4 + 3 x5 + 5 x6 - 2 x7 = - 54 E5 - 7 x1 - 7 x2 - 6 x3 - 6 x4 - 5 x5 - 7 x6 - 6 x7 = + 12 E6 - 8 x1 - 4 x2 + 4 x3 - 7 x4 + 7 x5 - 4 x6 - 3 x6 = - 128 E7 + 1 x1 - 5 x2 - 4 x3 + 4 x4 - 6 x5 - 7 x6 - 3 x6 = + 115 -6 +9 -3 -1 +3 -8 +5 28 E1 - 6 x1 - 3 x2 + 4 x3 + 4 x4 + 6 x5 - 7 x6 + 8 x7 = + 107 E2 - 7 x1 + 8 x2 - 6 x3 - 5 x4 - 4 x5 + 5 x6 + 8 x7 = + 125 E3 - 7 x1 - 8 x2 + 5 x3 + 7 x4 + 6 x5 - 9 x6 + 8 x7 = + 78 E4 - 4 x1 + 9 x2 + 9 x3 - 5 x4 + 2 x5 - 5 x6 - 8 x7 = + 89 E5 - 5 x1 - 3 x2 - 7 x3 - 7 x4 - 2 x5 + 2 x6 + 3 x7 = + 24 E6 + 6 x1 + 5 x2 - 7 x3 - 2 x4 + 3 x5 - 3 x6 + 9 x6 = + 110 E7 + 9 x1 - 9 x2 + 2 x3 - 8 x4 + 6 x5 + 6 x6 + 2 x6 = - 153
+5 +7 +9 -4 -1 -2 -3 29 E1 - 4 x1 - 4 x2 + 1 x3 - 1 x4 + 7 x5 - 4 x6 + 1 x7 = - 37 E2 + 8 x1 + 5 x2 - 4 x3 + 3 x4 - 6 x5 + 7 x6 + 1 x7 = + 16 E3 + 1 x1 + 7 x2 + 8 x3 + 7 x4 - 9 x5 - 1 x6 + 3 x7 = + 100 E4 - 6 x1 + 2 x2 - 9 x3 + 1 x4 - 1 x5 - 2 x6 - 8 x7 = - 72 E5 + 6 x1 - 8 x2 - 3 x3 + 8 x4 + 2 x5 + 6 x6 - 6 x7 = - 81 E6 + 2 x1 - 2 x2 + 1 x3 - 1 x4 + 2 x5 - 7 x6 + 4 x6 = +9 E7 - 2 x1 + 7 x2 - 2 x3 - 5 x4 + 3 x5 + 3 x6 + 4 x6 = + 20 +7 +5 -3 +4 +8 -6 +5 30 E1 - 2 x1 - 2 x2 + 5 x3 + 5 x4 + 2 x5 + 4 x6 - 9 x7 = - 72 E2 + 8 x1 - 2 x2 + 6 x3 - 3 x4 - 8 x5 + 6 x6 - 2 x7 = - 94 E3 - 3 x1 - 7 x2 + 6 x3 - 8 x4 - 3 x5 + 3 x6 + 6 x7 = - 118 E4 + 4 x1 - 9 x2 + 9 x3 + 3 x4 - 5 x5 - 6 x6 + 7 x7 = -1 E5 + 3 x1 - 7 x2 - 2 x3 - 3 x4 + 4 x5 + 9 x6 - 3 x7 = - 57 E6 - 9 x1 - 4 x2 + 4 x3 + 8 x4 - 8 x5 - 3 x6 - 3 x6 = - 124 E7 + 1 x1 - 1 x2 + 2 x3 - 9 x4 - 1 x5 + 8 x6 + 9 x6 = - 51 +7 +7 -7 -3 -4 +8 +8 31 E1 + 6 x1 + 8 x2 + 8 x3 - 8 x4 + 7 x5 - 1 x6 - 3 x7 = +6 E2 - 3 x1 + 6 x2 + 9 x3 - 4 x4 + 5 x5 + 8 x6 + 5 x7 = + 54 E3 + 7 x1 - 8 x2 - 4 x3 + 3 x4 + 5 x5 - 3 x6 - 2 x7 = - 48 E4 + 5 x1 + 2 x2 + 8 x3 - 8 x4 + 7 x5 - 4 x6 - 5 x7 = - 83 E5 + 2 x1 + 8 x2 - 2 x3 - 5 x4 + 4 x5 + 5 x6 - 2 x7 = + 107 E6 - 3 x1 - 7 x2 + 2 x3 + 4 x4 - 7 x5 + 8 x6 + 3 x6 = + 20 E7 - 2 x1 + 2 x2 - 2 x3 + 9 x4 - 2 x5 + 4 x6 - 6 x6 = - 21 +2 -3 +7 -6 -5 +2 -6 32 E1 - 4 x1 + 2 x2 - 7 x3 - 7 x4 - 4 x5 + 1 x6 - 7 x7 = + 43 E2 + 2 x1 + 7 x2 - 7 x3 + 3 x4 + 1 x5 + 6 x6 - 8 x7 = - 29 E3 - 2 x1 - 8 x2 + 7 x3 - 7 x4 - 5 x5 - 3 x6 + 4 x7 = + 106 E4 - 7 x1 + 5 x2 - 5 x3 - 7 x4 + 6 x5 - 7 x6 + 1 x7 = - 72 E5 - 9 x1 + 9 x2 + 2 x3 - 8 x4 - 6 x5 - 7 x6 - 1 x7 = + 39 E6 - 6 x1 - 7 x2 + 8 x3 - 6 x4 - 6 x5 + 8 x6 - 7 x6 = + 189 E7 + 7 x1 + 7 x2 - 2 x3 - 9 x4 - 6 x5 + 2 x6 + 6 x6 = + 31

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Sistmas de 7x7

  • 1. -6 -5 +5 -8 +4 +2 -8 1 E1 - 4 x1 + 4 x2 - 3 x3 + 8 x4 - 8 x5 + 4 x6 + 2 x7 = - 115 E2 + 9 x1 - 3 x2 - 2 x3 + 5 x4 + 7 x5 + 5 x6 + 3 x7 = - 75 E3 - 6 x1 - 3 x2 + 2 x3 - 1 x4 + 3 x5 + 7 x6 - 5 x7 = + 135 E4 + 2 x1 + 4 x2 + 8 x3 - 3 x4 + 7 x5 - 7 x6 + 7 x7 = - 10 E5 - 3 x1 + 7 x2 - 3 x3 - 4 x4 + 5 x5 - 8 x6 + 4 x7 = - 28 E6 - 9 x1 - 4 x2 - 7 x3 - 4 x4 + 2 x5 - 1 x6 + 8 x6 = + 13 E7 - 8 x1 - 2 x2 - 8 x3 - 8 x4 - 4 x5 + 1 x6 + 7 x6 = + 12 -8 -8 +9 +4 -7 +2 +8 2 E1 - 7 x1 + 9 x2 - 2 x3 - 2 x4 + 5 x5 + 4 x6 - 5 x7 = - 109 E2 - 3 x1 - 8 x2 + 2 x3 + 6 x4 + 6 x5 - 1 x6 + 6 x7 = + 134 E3 + 6 x1 - 1 x2 + 2 x3 - 2 x4 + 8 x5 - 8 x6 + 2 x7 = - 86 E4 + 8 x1 - 1 x2 - 2 x3 - 6 x4 + 4 x5 + 5 x6 - 4 x7 = - 148 E5 - 2 x1 - 1 x2 + 1 x3 - 7 x4 + 3 x5 + 9 x6 - 4 x7 = - 30 E6 - 3 x1 - 6 x2 - 5 x3 - 2 x4 + 8 x5 + 3 x6 + 8 x6 = + 33 E7 - 7 x1 + 4 x2 + 2 x3 - 6 x4 + 8 x5 + 3 x6 + 6 x6 = + 16 +7 -3 +2 -8 +1 -7 -5 3 E1 - 4 x1 + 6 x2 + 6 x3 - 8 x4 - 7 x5 + 2 x6 + 7 x7 = - 26 E2 + 5 x1 - 8 x2 - 5 x3 - 3 x4 + 4 x5 - 3 x6 - 8 x7 = + 138 E3 - 9 x1 - 2 x2 - 3 x3 + 7 x4 + 4 x5 + 1 x6 + 7 x7 = - 157 E4 + 8 x1 + 6 x2 + 7 x3 + 2 x4 - 7 x5 - 6 x6 - 8 x7 = + 111 E5 + 4 x1 - 6 x2 - 6 x3 - 3 x4 + 5 x5 - 8 x6 + 4 x7 = + 99 E6 + 3 x1 - 1 x2 + 2 x3 - 3 x4 + 5 x5 - 5 x6 + 6 x6 = + 62 E7 + 3 x1 - 6 x2 - 9 x3 - 2 x4 - 8 x5 - 8 x6 - 4 x6 = + 105 -5 +7 -8 -3 -5 -5 +2 4 E1 - 7 x1 + 3 x2 - 8 x3 + 9 x4 + 2 x5 + 9 x6 + 2 x7 = + 42 E2 + 6 x1 - 4 x2 - 4 x3 + 7 x4 - 8 x5 + 5 x6 - 1 x7 = - 34 E3 + 4 x1 + 7 x2 + 5 x3 - 6 x4 - 9 x5 - 3 x6 + 7 x7 = + 81 E4 - 6 x1 - 3 x2 - 8 x3 - 2 x4 + 3 x5 + 8 x6 + 3 x7 = + 30 E5 + 7 x1 + 4 x2 + 4 x3 + 7 x4 + 7 x5 - 8 x6 + 5 x7 = - 45 E6 + 6 x1 + 4 x2 + 7 x3 + 9 x4 - 1 x5 + 5 x6 + 5 x6 = - 95 E7 + 4 x1 - 9 x2 + 3 x3 - 9 x4 + 5 x5 + 4 x6 + 7 x6 = - 111
  • 2. +7 -6 -2 -6 +7 +3 +3 5 E1 - 6 x1 + 2 x2 - 2 x3 + 4 x4 - 5 x5 - 2 x6 - 2 x7 = - 121 E2 - 6 x1 + 6 x2 + 2 x3 - 9 x4 + 3 x5 - 5 x6 - 3 x7 = - 31 E3 - 6 x1 + 8 x2 - 2 x3 + 3 x4 + 2 x5 - 7 x6 - 4 x7 = - 123 E4 + 4 x1 + 9 x2 - 1 x3 - 4 x4 + 7 x5 - 9 x6 + 1 x7 = + 25 E5 - 6 x1 + 4 x2 + 6 x3 + 4 x4 + 8 x5 + 7 x6 - 2 x7 = - 31 E6 + 2 x1 + 7 x2 - 4 x3 + 8 x4 + 7 x5 + 2 x6 - 3 x6 = - 22 E7 - 8 x1 - 2 x2 - 4 x3 - 3 x4 - 2 x5 - 1 x6 - 9 x6 = - 62 +9 -8 +2 +9 +5 +3 +1 6 E1 + 6 x1 + 6 x2 + 8 x3 + 9 x4 + 3 x5 - 3 x6 + 9 x7 = + 118 E2 - 4 x1 + 8 x2 - 7 x3 + 4 x4 + 2 x5 + 9 x6 - 8 x7 = - 49 E3 + 7 x1 + 8 x2 - 9 x3 - 3 x4 + 6 x5 + 5 x6 + 5 x7 = +4 E4 - 8 x1 + 4 x2 - 6 x3 + 4 x4 - 3 x5 - 8 x6 - 7 x7 = - 126 E5 - 6 x1 - 9 x2 + 8 x3 - 5 x4 + 7 x5 + 4 x6 - 7 x7 = + 29 E6 + 4 x1 + 4 x2 - 6 x3 - 1 x4 - 5 x5 + 4 x6 - 7 x6 = - 37 E7 - 5 x1 - 5 x2 - 6 x3 + 7 x4 + 3 x5 + 5 x6 + 3 x6 = + 79 -3 -7 +6 -7 +4 -5 +5 7 E1 - 7 x1 - 7 x2 - 4 x3 - 6 x4 + 7 x5 - 3 x6 - 6 x7 = + 101 E2 - 8 x1 - 1 x2 + 7 x3 + 8 x4 - 4 x5 - 4 x6 - 7 x7 = - 14 E3 - 6 x1 + 4 x2 + 6 x3 + 3 x4 - 8 x5 - 3 x6 + 8 x7 = + 28 E4 + 7 x1 - 8 x2 - 7 x3 + 2 x4 - 7 x5 + 6 x6 + 8 x7 = - 39 E5 + 7 x1 + 1 x2 - 4 x3 + 2 x4 - 3 x5 - 2 x6 + 3 x7 = - 53 E6 - 7 x1 - 6 x2 + 7 x3 + 8 x4 + 4 x5 + 3 x6 - 2 x6 = + 40 E7 - 7 x1 + 4 x2 - 6 x3 - 1 x4 - 5 x5 - 2 x6 + 7 x6 = - 11 -3 +8 +8 -3 -3 +4 -4 8 E1 + 4 x1 + 1 x2 + 1 x3 - 4 x4 + 5 x5 - 2 x6 + 8 x7 = - 39 E2 - 2 x1 - 9 x2 + 2 x3 - 7 x4 + 6 x5 + 2 x6 - 2 x7 = - 31 E3 - 8 x1 - 5 x2 - 5 x3 - 9 x4 - 3 x5 - 8 x6 + 5 x7 = - 72 E4 + 6 x1 - 6 x2 - 3 x3 + 2 x4 - 8 x5 + 2 x6 - 4 x7 = - 48 E5 + 4 x1 + 8 x2 - 5 x3 - 6 x4 + 3 x5 - 1 x6 - 3 x7 = + 29 E6 - 3 x1 - 2 x2 - 4 x3 + 7 x4 + 3 x5 + 6 x6 - 5 x6 = - 25 E7 - 7 x1 + 5 x2 - 3 x3 + 3 x4 + 2 x5 + 8 x6 + 8 x6 = + 22
  • 3. +6 -5 -7 +6 +7 -8 -8 9 E1 - 6 x1 - 4 x2 + 6 x3 + 6 x4 + 8 x5 - 6 x6 - 4 x7 = + 114 E2 + 1 x1 + 3 x2 - 4 x3 + 1 x4 + 5 x5 - 4 x6 - 1 x7 = + 100 E3 - 4 x1 - 6 x2 + 6 x3 + 9 x4 - 4 x5 - 2 x6 - 4 x7 = + 38 E4 - 8 x1 + 4 x2 - 7 x3 + 2 x4 - 4 x5 + 8 x6 + 7 x7 = - 155 E5 - 4 x1 - 3 x2 - 8 x3 - 8 x4 + 2 x5 + 8 x6 + 4 x7 = - 83 E6 - 5 x1 - 3 x2 + 5 x3 - 7 x4 + 5 x5 + 3 x6 + 7 x6 = - 137 E7 - 2 x1 + 6 x2 - 4 x3 - 8 x4 - 6 x5 + 5 x6 - 7 x6 = - 88 -3 -7 +1 -5 -5 +6 +8 10 E1 - 4 x1 + 7 x2 - 8 x3 + 6 x4 + 2 x5 - 3 x6 + 8 x7 = - 39 E2 + 6 x1 + 9 x2 - 5 x3 + 3 x4 + 3 x5 + 8 x6 + 4 x7 = - 36 E3 + 4 x1 + 7 x2 + 8 x3 + 8 x4 - 3 x5 + 2 x6 - 7 x7 = - 122 E4 + 2 x1 + 1 x2 + 5 x3 - 5 x4 - 7 x5 + 8 x6 + 1 x7 = + 108 E5 - 4 x1 + 8 x2 - 5 x3 - 4 x4 - 3 x5 - 2 x6 - 2 x7 = - 42 E6 - 5 x1 + 5 x2 + 6 x3 - 3 x4 - 8 x5 + 4 x6 - 7 x6 = +9 E7 - 5 x1 - 1 x2 + 2 x3 + 2 x4 - 4 x5 - 7 x6 + 4 x6 = + 24 +6 +3 -6 +4 -6 +9 -9 11 E1 - 6 x1 + 5 x2 + 2 x3 - 6 x4 - 2 x5 + 6 x6 + 3 x7 = - 18 E2 + 4 x1 + 6 x2 + 5 x3 - 4 x4 - 8 x5 - 6 x6 + 8 x7 = - 82 E3 - 7 x1 + 2 x2 - 5 x3 - 2 x4 + 8 x5 - 9 x6 + 5 x7 = - 188 E4 - 5 x1 - 8 x2 + 9 x3 - 3 x4 + 1 x5 + 7 x6 - 2 x7 = - 45 E5 + 4 x1 + 9 x2 + 6 x3 + 1 x4 + 2 x5 + 7 x6 - 7 x7 = + 133 E6 - 7 x1 + 1 x2 - 3 x3 - 7 x4 + 4 x5 - 4 x6 - 9 x6 = - 28 E7 - 4 x1 - 3 x2 + 8 x3 + 7 x4 + 3 x5 + 6 x6 - 2 x6 = +1 +8 -6 +6 +6 -7 +7 -7 12 E1 + 7 x1 - 3 x2 - 5 x3 + 2 x4 - 2 x5 - 5 x6 - 3 x7 = + 56 E2 - 8 x1 - 4 x2 + 8 x3 + 8 x4 + 6 x5 - 8 x6 - 4 x7 = - 14 E3 + 5 x1 + 2 x2 + 6 x3 - 2 x4 - 5 x5 - 8 x6 + 4 x7 = +3 E4 - 5 x1 + 4 x2 - 8 x3 + 5 x4 - 8 x5 + 5 x6 + 5 x7 = - 26 E5 - 5 x1 + 6 x2 + 9 x3 + 5 x4 - 8 x5 + 4 x6 - 6 x7 = + 134 E6 - 6 x1 - 5 x2 - 6 x3 + 8 x4 - 8 x5 - 3 x6 - 8 x6 = + 85 E7 - 7 x1 - 5 x2 - 2 x3 + 8 x4 + 2 x5 - 6 x6 + 3 x6 = - 67
  • 4. +6 -6 -3 +9 -8 +2 +9 13 E1 - 5 x1 + 5 x2 + 5 x3 + 1 x4 + 8 x5 - 5 x6 - 7 x7 = - 203 E2 + 8 x1 - 2 x2 + 6 x3 + 7 x4 - 5 x5 - 6 x6 - 4 x7 = + 97 E3 + 1 x1 + 1 x2 + 3 x3 - 3 x4 - 8 x5 + 6 x6 + 5 x7 = + 85 E4 - 5 x1 - 6 x2 - 2 x3 + 3 x4 - 3 x5 - 8 x6 - 5 x7 = +2 E5 + 5 x1 - 3 x2 + 3 x3 + 5 x4 + 5 x5 + 2 x6 - 2 x7 = + 30 E6 + 6 x1 + 9 x2 - 8 x3 - 8 x4 - 4 x5 + 2 x6 + 2 x6 = - 12 E7 + 7 x1 - 2 x2 - 4 x3 - 1 x4 - 3 x5 - 8 x6 + 2 x6 = + 83 +4 +2 -3 -9 -5 +5 -5 14 E1 + 5 x1 - 2 x2 + 5 x3 + 6 x4 - 3 x5 + 3 x6 + 2 x7 = - 33 E2 + 3 x1 - 6 x2 + 2 x3 - 5 x4 - 1 x5 + 6 x6 + 3 x7 = + 59 E3 - 1 x1 - 6 x2 + 8 x3 + 7 x4 + 3 x5 + 3 x6 + 6 x7 = - 133 E4 + 3 x1 - 3 x2 - 2 x3 - 3 x4 + 8 x5 - 1 x6 + 2 x7 = - 16 E5 + 1 x1 + 6 x2 + 6 x3 - 2 x4 + 7 x5 - 2 x6 + 7 x7 = - 64 E6 + 4 x1 + 9 x2 - 3 x3 + 1 x4 - 4 x5 - 3 x6 + 4 x6 = + 19 E7 + 3 x1 + 5 x2 + 1 x3 - 9 x4 - 5 x5 - 8 x6 - 4 x6 = + 105 +4 +4 +6 -7 +5 -2 -8 15 E1 - 7 x1 + 8 x2 - 2 x3 - 3 x4 - 5 x5 + 3 x6 + 6 x7 = - 66 E2 + 4 x1 - 7 x2 + 8 x3 - 8 x4 + 3 x5 + 2 x6 + 5 x7 = + 63 E3 + 8 x1 - 2 x2 - 4 x3 - 4 x4 + 8 x5 + 1 x6 + 9 x7 = -6 E4 + 2 x1 - 4 x2 - 5 x3 - 7 x4 + 3 x5 + 3 x6 - 5 x7 = + 60 E5 + 6 x1 - 8 x2 + 6 x3 + 6 x4 - 6 x5 - 4 x6 - 6 x7 = + 12 E6 + 3 x1 + 8 x2 + 1 x3 + 8 x4 + 6 x5 + 8 x6 + 5 x6 = - 32 E7 - 2 x1 + 6 x2 - 5 x3 + 6 x4 + 6 x5 - 2 x6 + 9 x6 = - 94 +2 -2 -4 -9 +3 -7 +6 16 E1 - 5 x1 - 4 x2 - 9 x3 - 1 x4 + 2 x5 + 3 x6 + 7 x7 = + 70 E2 - 7 x1 - 3 x2 + 7 x3 + 2 x4 + 3 x5 - 8 x6 + 2 x7 = + 23 E3 + 8 x1 + 3 x2 + 4 x3 - 4 x4 + 3 x5 + 8 x6 - 5 x7 = - 47 E4 + 5 x1 + 8 x2 - 7 x3 + 3 x4 - 6 x5 + 6 x6 + 9 x7 = - 11 E5 + 6 x1 - 8 x2 - 9 x3 - 7 x4 + 2 x5 + 5 x6 + 9 x7 = + 152 E6 + 3 x1 - 4 x2 + 3 x3 - 7 x4 - 6 x5 - 6 x6 - 7 x6 = + 47 E7 - 7 x1 - 2 x2 + 2 x3 + 3 x4 + 5 x5 - 2 x6 - 8 x6 = - 64
  • 5. -5 +8 +7 +9 +4 -2 +7 17 E1 - 4 x1 + 3 x2 - 2 x3 + 3 x4 + 6 x5 + 9 x6 - 6 x7 = + 21 E2 + 8 x1 - 5 x2 - 8 x3 + 7 x4 + 4 x5 - 7 x6 + 3 x7 = - 22 E3 + 4 x1 - 8 x2 - 6 x3 + 6 x4 - 7 x5 + 2 x6 - 5 x7 = - 139 E4 + 1 x1 + 6 x2 - 5 x3 + 6 x4 - 8 x5 - 4 x6 + 6 x7 = + 80 E5 - 2 x1 + 1 x2 - 2 x3 + 2 x4 - 6 x5 + 7 x6 + 6 x7 = + 26 E6 - 8 x1 + 8 x2 - 3 x3 - 4 x4 + 5 x5 - 1 x6 - 5 x6 = + 34 E7 - 3 x1 - 6 x2 + 7 x3 + 8 x4 + 7 x5 + 6 x6 - 4 x6 = + 76 -4 -4 -7 -9 -2 +3 -2 18 E1 - 4 x1 - 2 x2 + 4 x3 - 5 x4 + 5 x5 + 4 x6 + 9 x7 = + 25 E2 + 9 x1 - 2 x2 - 7 x3 - 6 x4 - 6 x5 - 8 x6 + 7 x7 = + 49 E3 + 3 x1 + 6 x2 - 9 x3 + 8 x4 + 6 x5 - 9 x6 - 9 x7 = - 66 E4 - 9 x1 - 4 x2 - 3 x3 - 7 x4 + 8 x5 - 4 x6 - 5 x7 = + 118 E5 + 3 x1 + 7 x2 + 6 x3 + 9 x4 + 7 x5 + 4 x6 - 8 x7 = - 149 E6 - 6 x1 + 1 x2 + 3 x3 - 6 x4 - 7 x5 - 7 x6 - 2 x6 = + 50 E7 - 8 x1 - 1 x2 - 1 x3 - 8 x4 + 7 x5 + 5 x6 - 3 x6 = + 122 +7 -8 +6 +2 +6 +4 -2 19 E1 + 5 x1 + 3 x2 - 8 x3 - 8 x4 + 8 x5 - 5 x6 + 4 x7 = - 33 E2 + 3 x1 - 5 x2 - 2 x3 - 4 x4 - 8 x5 + 1 x6 - 9 x7 = + 15 E3 - 7 x1 + 6 x2 - 8 x3 + 4 x4 + 7 x5 - 8 x6 - 4 x7 = - 119 E4 - 4 x1 + 7 x2 - 8 x3 + 6 x4 + 3 x5 + 8 x6 + 7 x7 = - 84 E5 - 3 x1 - 3 x2 + 2 x3 - 2 x4 + 7 x5 - 3 x6 - 5 x7 = + 51 E6 - 3 x1 - 7 x2 - 7 x3 + 4 x4 + 5 x5 + 5 x6 - 3 x6 = + 57 E7 + 4 x1 - 8 x2 - 6 x3 + 6 x4 + 7 x5 - 4 x6 - 9 x6 = + 112 +7 +5 -4 -8 +8 +7 -6 20 E1 + 1 x1 - 4 x2 + 6 x3 + 6 x4 - 5 x5 + 2 x6 - 3 x7 = - 93 E2 - 4 x1 + 8 x2 - 3 x3 - 6 x4 - 7 x5 - 7 x6 - 8 x7 = + 15 E3 - 9 x1 - 8 x2 - 2 x3 + 4 x4 + 3 x5 + 2 x6 + 2 x7 = - 101 E4 + 4 x1 + 8 x2 + 8 x3 + 9 x4 + 5 x5 + 3 x6 + 8 x7 = - 23 E5 + 7 x1 + 3 x2 - 3 x3 - 1 x4 + 3 x5 - 9 x6 - 3 x7 = + 63 E6 - 3 x1 + 1 x2 + 4 x3 + 3 x4 + 2 x5 - 4 x6 + 4 x6 = - 92 E7 + 4 x1 - 4 x2 + 7 x3 - 1 x4 + 7 x5 - 9 x6 + 2 x6 = - 31
  • 6. -9 +8 +3 -6 +6 +4 +4 21 E1 + 6 x1 + 4 x2 + 8 x3 + 5 x4 + 8 x5 + 5 x6 + 5 x7 = + 60 E2 + 5 x1 - 7 x2 + 4 x3 - 5 x4 + 3 x5 - 3 x6 - 9 x7 = - 89 E3 - 9 x1 - 7 x2 - 2 x3 - 1 x4 + 4 x5 - 8 x6 + 8 x7 = + 49 E4 - 9 x1 + 3 x2 - 9 x3 - 3 x4 + 5 x5 + 5 x6 - 7 x7 = + 118 E5 - 7 x1 + 7 x2 - 9 x3 - 4 x4 + 7 x5 - 6 x6 + 4 x7 = + 150 E6 + 2 x1 - 8 x2 + 6 x3 + 2 x4 - 7 x5 - 2 x6 - 7 x6 = - 154 E7 - 8 x1 + 8 x2 + 3 x3 + 8 x4 - 4 x5 - 5 x6 + 4 x6 = + 69 -2 -9 -6 +3 +1 -3 -3 22 E1 - 5 x1 + 8 x2 + 4 x3 - 3 x4 - 1 x5 - 7 x6 + 6 x7 = - 93 E2 - 9 x1 + 5 x2 - 2 x3 - 6 x4 - 9 x5 - 3 x6 + 8 x7 = - 57 E3 + 3 x1 - 2 x2 + 5 x3 + 4 x4 + 4 x5 + 6 x6 - 4 x7 = -8 E4 - 6 x1 + 4 x2 - 1 x3 - 7 x4 - 7 x5 + 7 x6 + 4 x7 = - 79 E5 - 7 x1 - 7 x2 - 5 x3 + 6 x4 - 5 x5 - 8 x6 + 3 x7 = + 135 E6 - 6 x1 - 3 x2 + 2 x3 + 5 x4 - 9 x5 - 9 x6 - 4 x6 = + 72 E7 - 8 x1 - 3 x2 - 6 x3 - 2 x4 - 6 x5 + 1 x6 - 2 x6 = + 70 +3 +8 -2 +7 -2 +3 -8 23 E1 + 5 x1 + 3 x2 - 7 x3 + 3 x4 - 5 x5 - 1 x6 + 6 x7 = + 33 E2 - 9 x1 - 1 x2 + 4 x3 + 2 x4 + 1 x5 - 8 x6 + 3 x7 = - 79 E3 - 5 x1 + 8 x2 + 7 x3 + 6 x4 + 8 x5 - 2 x6 + 2 x7 = + 39 E4 + 5 x1 - 3 x2 - 6 x3 + 8 x4 - 9 x5 + 7 x6 + 1 x7 = + 90 E5 + 3 x1 + 6 x2 + 5 x3 + 4 x4 - 5 x5 - 3 x6 + 5 x7 = + 36 E6 - 8 x1 - 6 x2 + 5 x3 - 8 x4 + 5 x5 - 4 x6 + 2 x6 = - 176 E7 - 9 x1 - 6 x2 + 6 x3 + 5 x4 - 4 x5 + 5 x6 + 3 x6 = - 53 +4 +8 -5 +6 -4 +8 +1 24 E1 - 8 x1 - 6 x2 - 3 x3 + 3 x4 - 8 x5 - 7 x6 + 4 x7 = - 67 E2 + 4 x1 + 5 x2 + 9 x3 + 5 x4 - 6 x5 + 4 x6 - 9 x7 = + 88 E3 + 2 x1 + 6 x2 + 1 x3 - 4 x4 - 3 x5 - 6 x6 - 3 x7 = - 12 E4 + 7 x1 - 7 x2 - 7 x3 - 3 x4 - 7 x5 - 2 x6 + 3 x7 = +4 E5 - 7 x1 + 2 x2 + 3 x3 + 7 x4 + 8 x5 + 5 x6 - 7 x7 = + 16 E6 - 2 x1 - 3 x2 + 9 x3 + 7 x4 - 8 x5 - 8 x6 + 7 x6 = - 60 E7 - 3 x1 - 1 x2 - 8 x3 - 1 x4 + 8 x5 + 6 x6 + 5 x6 = + 35
  • 7. -3 -5 +6 +6 -4 +7 -2 25 E1 - 2 x1 - 7 x2 - 4 x3 + 5 x4 + 6 x5 - 1 x6 + 6 x7 = +4 E2 - 4 x1 + 2 x2 + 4 x3 - 9 x4 - 5 x5 + 4 x6 + 2 x7 = + 16 E3 - 4 x1 - 3 x2 + 4 x3 + 7 x4 + 7 x5 - 2 x6 - 8 x7 = + 67 E4 + 3 x1 + 7 x2 - 5 x3 + 2 x4 + 2 x5 - 4 x6 - 4 x7 = - 90 E5 + 6 x1 - 8 x2 + 6 x3 - 8 x4 + 5 x5 - 7 x6 - 6 x7 = - 47 E6 - 8 x1 + 5 x2 + 4 x3 - 8 x4 + 7 x5 - 8 x6 - 1 x6 = - 107 E7 + 4 x1 + 8 x2 + 5 x3 - 2 x4 + 6 x5 - 2 x6 - 1 x6 = - 70 -3 -6 -2 -3 -8 +4 -5 26 E1 + 9 x1 + 4 x2 - 3 x3 + 7 x4 + 7 x5 - 6 x6 + 8 x7 = - 186 E2 - 4 x1 + 7 x2 + 4 x3 - 6 x4 - 8 x5 - 6 x6 - 8 x7 = + 60 E3 + 8 x1 + 1 x2 - 7 x3 - 2 x4 + 2 x5 - 6 x6 - 8 x7 = - 10 E4 - 4 x1 - 5 x2 + 7 x3 + 8 x4 + 9 x5 + 6 x6 - 2 x7 = - 34 E5 - 5 x1 + 4 x2 + 1 x3 + 2 x4 - 6 x5 - 3 x6 - 2 x7 = + 29 E6 + 5 x1 + 5 x2 + 1 x3 + 1 x4 - 6 x5 - 7 x6 - 5 x6 = -5 E7 - 3 x1 - 6 x2 + 6 x3 - 9 x4 - 4 x5 - 6 x6 + 6 x6 = + 38 +6 -2 -2 +3 -9 -7 +8 27 E1 - 3 x1 - 1 x2 + 8 x3 - 3 x4 - 8 x5 - 9 x6 + 2 x7 = + 110 E2 - 6 x1 + 9 x2 + 3 x3 - 3 x4 - 3 x5 - 8 x6 + 4 x7 = + 46 E3 + 1 x1 + 5 x2 + 9 x3 - 6 x4 + 8 x5 - 4 x6 - 8 x7 = - 148 E4 - 2 x1 - 8 x2 + 2 x3 + 8 x4 + 3 x5 + 5 x6 - 2 x7 = - 54 E5 - 7 x1 - 7 x2 - 6 x3 - 6 x4 - 5 x5 - 7 x6 - 6 x7 = + 12 E6 - 8 x1 - 4 x2 + 4 x3 - 7 x4 + 7 x5 - 4 x6 - 3 x6 = - 128 E7 + 1 x1 - 5 x2 - 4 x3 + 4 x4 - 6 x5 - 7 x6 - 3 x6 = + 115 -6 +9 -3 -1 +3 -8 +5 28 E1 - 6 x1 - 3 x2 + 4 x3 + 4 x4 + 6 x5 - 7 x6 + 8 x7 = + 107 E2 - 7 x1 + 8 x2 - 6 x3 - 5 x4 - 4 x5 + 5 x6 + 8 x7 = + 125 E3 - 7 x1 - 8 x2 + 5 x3 + 7 x4 + 6 x5 - 9 x6 + 8 x7 = + 78 E4 - 4 x1 + 9 x2 + 9 x3 - 5 x4 + 2 x5 - 5 x6 - 8 x7 = + 89 E5 - 5 x1 - 3 x2 - 7 x3 - 7 x4 - 2 x5 + 2 x6 + 3 x7 = + 24 E6 + 6 x1 + 5 x2 - 7 x3 - 2 x4 + 3 x5 - 3 x6 + 9 x6 = + 110 E7 + 9 x1 - 9 x2 + 2 x3 - 8 x4 + 6 x5 + 6 x6 + 2 x6 = - 153
  • 8. +5 +7 +9 -4 -1 -2 -3 29 E1 - 4 x1 - 4 x2 + 1 x3 - 1 x4 + 7 x5 - 4 x6 + 1 x7 = - 37 E2 + 8 x1 + 5 x2 - 4 x3 + 3 x4 - 6 x5 + 7 x6 + 1 x7 = + 16 E3 + 1 x1 + 7 x2 + 8 x3 + 7 x4 - 9 x5 - 1 x6 + 3 x7 = + 100 E4 - 6 x1 + 2 x2 - 9 x3 + 1 x4 - 1 x5 - 2 x6 - 8 x7 = - 72 E5 + 6 x1 - 8 x2 - 3 x3 + 8 x4 + 2 x5 + 6 x6 - 6 x7 = - 81 E6 + 2 x1 - 2 x2 + 1 x3 - 1 x4 + 2 x5 - 7 x6 + 4 x6 = +9 E7 - 2 x1 + 7 x2 - 2 x3 - 5 x4 + 3 x5 + 3 x6 + 4 x6 = + 20 +7 +5 -3 +4 +8 -6 +5 30 E1 - 2 x1 - 2 x2 + 5 x3 + 5 x4 + 2 x5 + 4 x6 - 9 x7 = - 72 E2 + 8 x1 - 2 x2 + 6 x3 - 3 x4 - 8 x5 + 6 x6 - 2 x7 = - 94 E3 - 3 x1 - 7 x2 + 6 x3 - 8 x4 - 3 x5 + 3 x6 + 6 x7 = - 118 E4 + 4 x1 - 9 x2 + 9 x3 + 3 x4 - 5 x5 - 6 x6 + 7 x7 = -1 E5 + 3 x1 - 7 x2 - 2 x3 - 3 x4 + 4 x5 + 9 x6 - 3 x7 = - 57 E6 - 9 x1 - 4 x2 + 4 x3 + 8 x4 - 8 x5 - 3 x6 - 3 x6 = - 124 E7 + 1 x1 - 1 x2 + 2 x3 - 9 x4 - 1 x5 + 8 x6 + 9 x6 = - 51 +7 +7 -7 -3 -4 +8 +8 31 E1 + 6 x1 + 8 x2 + 8 x3 - 8 x4 + 7 x5 - 1 x6 - 3 x7 = +6 E2 - 3 x1 + 6 x2 + 9 x3 - 4 x4 + 5 x5 + 8 x6 + 5 x7 = + 54 E3 + 7 x1 - 8 x2 - 4 x3 + 3 x4 + 5 x5 - 3 x6 - 2 x7 = - 48 E4 + 5 x1 + 2 x2 + 8 x3 - 8 x4 + 7 x5 - 4 x6 - 5 x7 = - 83 E5 + 2 x1 + 8 x2 - 2 x3 - 5 x4 + 4 x5 + 5 x6 - 2 x7 = + 107 E6 - 3 x1 - 7 x2 + 2 x3 + 4 x4 - 7 x5 + 8 x6 + 3 x6 = + 20 E7 - 2 x1 + 2 x2 - 2 x3 + 9 x4 - 2 x5 + 4 x6 - 6 x6 = - 21 +2 -3 +7 -6 -5 +2 -6 32 E1 - 4 x1 + 2 x2 - 7 x3 - 7 x4 - 4 x5 + 1 x6 - 7 x7 = + 43 E2 + 2 x1 + 7 x2 - 7 x3 + 3 x4 + 1 x5 + 6 x6 - 8 x7 = - 29 E3 - 2 x1 - 8 x2 + 7 x3 - 7 x4 - 5 x5 - 3 x6 + 4 x7 = + 106 E4 - 7 x1 + 5 x2 - 5 x3 - 7 x4 + 6 x5 - 7 x6 + 1 x7 = - 72 E5 - 9 x1 + 9 x2 + 2 x3 - 8 x4 - 6 x5 - 7 x6 - 1 x7 = + 39 E6 - 6 x1 - 7 x2 + 8 x3 - 6 x4 - 6 x5 + 8 x6 - 7 x6 = + 189 E7 + 7 x1 + 7 x2 - 2 x3 - 9 x4 - 6 x5 + 2 x6 + 6 x6 = + 31