The document presents a series of equations involving various variables (e1, e2, e3, e4, x1, x2, x3, x4) set equal to numerical constants. Each equation showcases relationships and combinations of these variables resulting in positive or negative values. The purpose appears to be analysis or solving complex mathematical problems involving these variables.

1. 1 E1 + 5 x1 - 3 x2 + 5 x3 - 7 + 2 = + 76
E2 - 3 x1 + 1 x2 - 4 x3 + 6 - 2 = - 66
E3 + 4 x1 - 4 x2 - 5 x3 + 5 + 4 = - 50
E4 - 4 x1 - 1 x2 + 1 x3 - 2 - 4 = - 19
2 E1 + 2 x1 + 2 x2 - 4 x3 + 3 x4 = - 22
E2 - 1 x1 - 3 x2 - 4 x3 - 4 x4 = + 39
E3 + 4 x1 + 1 x2 + 2 x3 - 4 x4 = - 15
E4 + 2 x1 - 2 x2 - 5 x3 + 2 x4 = - 4
3 E1 - 4 x1 - 4 x2 + 3 x3 + 5 x4 = - 18
E2 - 2 x1 - 3 x2 + 4 x3 - 2 x4 = - 37
E3 + 2 x1 + 2 x2 - 1 x3 + 4 x4 = + 57
E4 + 3 x1 + 3 x2 + 2 x3 - 5 x4 = + 26
4 E1 + 5 x1 + 5 x2 + 4 x3 + 4 x4 = - 1
E2 - 3 x1 - 3 x2 - 5 x3 - 4 x4 = - 11
E3 - 4 x1 - 5 x2 - 4 x3 - 2 x4 = + 13
E4 + 2 x1 - 1 x2 - 2 x3 - 4 x4 = - 3

2. 5 E1 - 1 x1 + 5 x2 - 3 x3 - 3 x4 = + 43
E2 - 4 x1 - 5 x2 + 2 x3 - 5 x4 = + 63
E3 + 3 x1 + 3 x2 + 3 x3 + 3 x4 = - 51
E4 - 3 x1 - 1 x2 + 4 x3 + 3 x4 = - 9
6 E1 - 3 x1 + 5 x2 + 3 x3 + 2 x4 = - 21
E2 - 4 x1 + 3 x2 - 4 x3 + 5 x4 = + 3
E3 + 2 x1 + 5 x2 - 5 x3 - 1 x4 = + 10
E4 + 2 x1 - 3 x2 - 4 x3 - 2 x4 = + 28
7 E1 - 1 x1 - 1 x2 - 4 x3 + 1 x4 = + 38
E2 - 4 x1 - 2 x2 - 3 x3 - 4 x4 = + 5
E3 - 4 x1 - 3 x2 - 4 x3 - 3 x4 = + 20
E4 - 2 x1 + 3 x2 + 3 x3 - 2 x4 = - 50
8 E1 - 3 x1 - 3 x2 - 2 x3 + 4 x4 = - 9
E2 - 2 x1 - 4 x2 + 2 x3 + 1 x4 = - 15
E3 - 4 x1 + 4 x2 - 2 x3 + 4 x4 = + 38
E4 + 2 x1 - 3 x2 - 1 x3 + 5 x4 = + 13

3. 9 E1 - 2 x1 - 2 x2 + 5 x3 + 4 x4 = - 56
E2 + 3 x1 - 4 x2 - 2 x3 + 2 x4 = + 18
E3 - 1 x1 + 1 x2 + 5 x3 + 3 x4 = - 68
E4 + 5 x1 - 5 x2 + 2 x3 + 4 x4 = - 28
10 E1 + 1 x1 - 4 x2 - 3 x3 + 2 x4 = + 30
E2 + 4 x1 - 3 x2 - 3 x3 - 3 x4 = - 2
E3 - 4 x1 - 2 x2 - 5 x3 - 2 x4 = + 30
E4 - 3 x1 - 1 x2 - 2 x3 - 3 x4 = + 4
11 E1 + 1 x1 + 1 x2 - 3 x3 + 5 x4 = + 26
E2 + 4 x1 + 2 x2 + 3 x3 - 5 x4 = - 13
E3 - 3 x1 - 5 x2 - 2 x3 - 2 x4 = + 11
E4 - 2 x1 + 4 x2 - 5 x3 + 5 x4 = + 9
12 E1 - 5 x1 + 3 x2 - 2 x3 + 4 x4 = + 9
E2 - 3 x1 - 4 x2 - 3 x3 - 2 x4 = + 86
E3 + 3 x1 + 2 x2 + 5 x3 - 3 x4 = - 60
E4 - 5 x1 + 3 x2 + 3 x3 + 4 x4 = - 21

4. 13 E1 - 3 x1 + 2 x2 - 1 x3 - 3 x4 = + 22
E2 - 3 x1 + 4 x2 - 1 x3 - 2 x4 = + 34
E3 - 2 x1 + 2 x2 + 4 x3 + 2 x4 = + 54
E4 - 2 x1 - 2 x2 + 3 x3 + 2 x4 = + 28
14 E1 + 3 x1 - 2 x2 - 4 x3 + 4 x4 = + 37
E2 + 1 x1 - 2 x2 + 5 x3 - 4 x4 = - 43
E3 - 4 x1 + 4 x2 - 3 x3 - 3 x4 = - 8
E4 + 5 x1 - 3 x2 + 4 x3 - 2 x4 = - 9
15 E1 - 3 x1 + 1 x2 + 1 x3 - 3 x4 = - 27
E2 + 4 x1 + 3 x2 - 3 x3 + 3 x4 = + 3
E3 + 4 x1 + 2 x2 + 5 x3 + 5 x4 = + 37
E4 + 5 x1 + 4 x2 - 1 x3 + 1 x4 = + 5
16 E1 + 4 x1 + 1 x2 - 2 x3 + 3 x4 = - 16
E2 + 2 x1 + 5 x2 + 2 x3 + 3 x4 = + 34
E3 - 4 x1 + 3 x2 - 2 x3 + 4 x4 = + 36
E4 - 2 x1 - 4 x2 - 3 x3 + 3 x4 = - 12

5. 17 E1 + 4 x1 + 2 x2 + 2 x3 - 2 x4 = - 18
E2 + 3 x1 - 2 x2 + 2 x3 + 3 x4 = + 3
E3 - 3 x1 - 2 x2 - 1 x3 - 3 x4 = 0
E4 + 3 x1 + 3 x2 + 3 x3 + 4 x4 = 0
18 E1 + 1 x1 + 2 x2 - 2 x3 + 4 x4 = - 18
E2 + 4 x1 - 4 x2 + 2 x3 - 1 x4 = + 4
E3 + 2 x1 + 3 x2 - 1 x3 + 4 x4 = + 1
E4 - 1 x1 + 3 x2 - 5 x3 + 1 x4 = - 21
19 E1 + 3 x1 + 4 x2 + 5 x3 - 4 x4 = + 22
E2 + 3 x1 + 2 x2 - 1 x3 + 1 x4 = - 14
E3 + 4 x1 - 4 x2 + 2 x3 + 4 x4 = - 78
E4 - 4 x1 + 3 x2 - 3 x3 - 4 x4 = + 73
20 E1 - 2 x1 - 4 x2 + 5 x3 - 2 x4 = - 29
E2 - 4 x1 + 3 x2 - 1 x3 - 2 x4 = + 18
E3 + 4 x1 - 2 x2 + 4 x3 + 2 x4 = - 30
E4 + 4 x1 - 3 x2 - 3 x3 - 3 x4 = + 32

6. 21 E1 - 1 x1 - 2 x2 + 2 x3 - 3 x4 = - 28
E2 + 2 x1 - 2 x2 + 3 x3 + 1 x4 = 0
E3 - 2 x1 + 1 x2 + 5 x3 + 3 x4 = - 27
E4 + 3 x1 + 3 x2 + 4 x3 + 3 x4 = + 23
22 E1 + 1 x1 + 4 x2 + 3 x3 - 2 x4 = + 31
E2 + 4 x1 - 2 x2 - 2 x3 - 2 x4 = + 30
E3 - 2 x1 + 2 x2 + 3 x3 - 3 x4 = + 11
E4 + 3 x1 - 3 x2 - 4 x3 + 4 x4 = - 15
23 E1 + 3 x1 - 4 x2 - 2 x3 - 4 x4 = + 24
E2 - 1 x1 + 4 x2 + 4 x3 + 3 x4 = - 14
E3 - 3 x1 - 5 x2 - 4 x3 + 3 x4 = - 38
E4 + 2 x1 + 4 x2 - 2 x3 + 1 x4 = + 30
24 E1 - 5 x1 - 4 x2 + 2 x3 + 2 x4 = + 11
E2 + 1 x1 - 2 x2 - 2 x3 + 4 x4 = + 45
E3 + 2 x1 + 4 x2 - 2 x3 + 3 x4 = + 21
E4 - 4 x1 + 3 x2 - 4 x3 - 4 x4 = - 21

7. 25 E1 - 1 x1 + 5 x2 + 2 x3 + 2 x4 = + 44
E2 - 3 x1 + 3 x2 - 2 x3 + 1 x4 = - 14
E3 - 3 x1 + 3 x2 + 3 x3 - 2 x4 = + 20
E4 + 4 x1 + 3 x2 - 4 x3 + 2 x4 = + 14
26 E1 - 3 x1 + 1 x2 - 3 x3 + 2 x4 = + 13
E2 + 4 x1 - 3 x2 - 5 x3 + 4 x4 = - 52
E3 - 3 x1 - 4 x2 + 2 x3 - 2 x4 = + 13
E4 - 4 x1 + 4 x2 + 5 x3 - 3 x4 = + 60
27 E1 + 2 x1 - 5 x2 - 2 x3 + 3 x4 = - 11
E2 + 3 x1 + 2 x2 - 5 x3 + 5 x4 = + 27
E3 + 5 x1 + 3 x2 + 5 x3 - 4 x4 = - 38
E4 - 3 x1 + 4 x2 + 4 x3 + 4 x4 = - 19
28 E1 - 3 x1 + 2 x2 - 3 x3 - 2 x4 = - 45
E2 - 4 x1 - 2 x2 + 4 x3 - 2 x4 = - 6
E3 + 3 x1 + 2 x2 + 3 x3 + 4 x4 = + 45
E4 - 2 x1 - 2 x2 + 3 x3 - 2 x4 = + 2

8. 29 E1 - 3 x1 + 3 x2 + 2 x3 + 2 x4 = - 12
E2 - 2 x1 - 2 x2 + 1 x3 - 2 x4 = - 6
E3 - 2 x1 + 5 x2 + 2 x3 + 3 x4 = - 12
E4 + 1 x1 + 4 x2 + 4 x3 - 3 x4 = - 10
30 E1 - 1 x1 + 3 x2 - 3 x3 + 2 x4 = - 15
E2 + 5 x1 - 2 x2 - 2 x3 - 2 x4 = + 1
E3 - 4 x1 + 4 x2 - 4 x3 + 3 x4 = - 31
E4 + 4 x1 - 4 x2 + 4 x3 - 2 x4 = + 22
31 E1 - 3 x1 + 2 x2 + 5 x3 + 5 x4 = - 85
E2 + 4 x1 + 4 x2 + 2 x3 + 3 x4 = - 19
E3 - 4 x1 + 2 x2 + 5 x3 + 4 x4 = - 80
E4 + 4 x1 - 3 x2 + 2 x3 + 1 x4 = - 8
32 E1 - 1 x1 + 2 x2 - 4 x3 + 2 x4 = + 15
E2 + 1 x1 + 2 x2 - 3 x3 - 4 x4 = + 35
E3 + 3 x1 + 1 x2 - 1 x3 + 2 x4 = + 11
E4 - 3 x1 - 4 x2 - 3 x3 + 1 x4 = - 16