Metodos Numericos - Factorizacion Ecuaciones -Apk

Post on 24-Dec-2015

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métodos numéricos factorización de ecuaciones

Transcript of Metodos Numericos - Factorizacion Ecuaciones -Apk

DOCENTE:

Ing. Saúl ARAUCO ESQUIVEL

HUAN

CAYO

ROJAS CASTELLANOS JONIFER

A = randi(15,100,100);

disp('LA MATRIZ DE COEFICIENTES DEL SISTEMA DE ECUACIONES (MATRIZ A) ES:')disp(A);b=randi(100,100,1);disp('LA MATRIZ DE TERMINOS NO HOMOGENEOS (MATRIZ B) ES:')disp(b);[L,U,P]=lu(A);disp('LA MATRIZ "L" DEL SISTEMA ES:')disp(L);disp('LA MATRIZ "U" DEL SISTEMA ES:')disp(U);disp('LA MATRIZ "Y" DEL SISTEMA ES:')y=inv(L)*b;disp(y);x=inv(U)*y;disp('LA SOLUCIÓN DEL SISTEMA (X) es:')disp(x)

>> NUMEROSALEATORIOS

LA MATRIZ DE COEFICIENTES DEL SISTEMA DE ECUACIONES (MATRIZ A) ES:

Columns 1 through 15

13 3 10 1 7 9 13 9 11 15 10 12 8 7 8

14 12 6 11 2 9 9 13 2 3 6 11 8 11 10

2 5 13 1 9 14 14 6 11 4 15 1 14 15 13

14 8 8 2 8 4 11 7 2 6 4 13 6 13 8

10 3 6 8 11 5 9 1 2 2 10 14 7 8 4

2 10 15 2 11 2 13 3 10 11 10 12 15 12 7

5 4 14 13 10 15 14 10 5 7 6 1 1 7 7

9 10 9 13 1 10 15 5 10 15 3 6 15 15 15

15 11 10 11 2 8 1 14 12 7 1 11 3 15 10

15 12 9 3 5 10 13 2 9 10 7 11 11 13 11

3 7 4 10 8 9 10 15 12 3 3 4 9 6 11

15 2 5 8 10 10 15 9 4 6 11 5 11 7 6

15 4 8 15 7 9 8 11 12 3 6 11 6 4 8

8 14 4 10 13 11 8 15 15 12 13 8 10 12 9

13 3 13 13 11 8 13 5 14 14 12 10 13 14 3

3 13 3 7 15 15 4 7 2 6 9 4 1 14 9

7 9 4 7 8 4 8 7 6 11 3 3 2 9 11

14 15 3 13 5 2 14 12 6 5 15 13 15 9 7

12 2 4 2 2 2 9 13 11 8 4 12 10 3 13

15 7 7 2 10 1 13 2 9 13 14 15 4 14 11

10 2 5 3 12 7 12 3 12 9 4 2 7 7 6

1 15 14 6 7 7 9 6 6 6 6 3 2 4 7

13 1 7 13 2 6 4 1 4 5 2 2 5 14 6

15 12 3 13 4 12 10 8 2 7 10 8 4 12 12

11 13 14 1 3 10 2 6 12 7 3 3 5 14 12

12 14 15 6 5 12 10 3 4 6 1 14 3 5 7

12 2 7 8 7 14 10 4 6 9 11 2 6 11 11

6 6 2 7 8 15 11 14 9 12 6 1 2 10 15

10 4 4 10 7 3 14 11 4 7 10 9 14 2 12

3 13 7 10 14 3 15 8 10 7 6 12 2 7 11

11 7 9 5 8 11 12 14 8 2 10 5 14 5 2

1 14 4 7 15 2 9 2 3 1 1 3 6 11 6

5 3 10 1 10 8 14 12 12 5 14 6 1 5 9

1 4 11 15 15 8 9 12 2 5 13 4 6 14 7

2 3 4 3 4 13 1 9 5 10 12 8 12 13 1

13 3 2 2 11 8 2 3 4 15 13 14 12 6 4

11 14 5 6 5 6 13 9 8 15 6 10 9 8 13

5 9 5 3 11 11 8 5 2 7 10 2 11 11 1

15 9 7 8 11 12 13 3 7 4 9 6 14 13 13

1 3 8 6 2 8 4 4 2 12 8 1 1 10 2

7 13 2 15 4 6 9 14 2 12 5 8 5 9 11

6 10 4 14 4 3 10 2 12 12 4 7 1 5 8

12 6 13 1 11 9 1 4 5 12 7 15 3 7 4

12 8 1 12 13 4 10 1 10 2 4 13 11 11 9

3 7 14 5 6 1 6 7 15 11 13 8 11 14 2

8 2 11 7 12 12 1 1 7 7 15 14 14 11 11

7 4 8 9 11 4 8 14 11 4 1 3 9 1 9

10 2 9 15 1 7 3 3 12 2 9 6 2 11 1

11 3 4 7 10 11 2 2 7 13 2 14 14 7 1

12 4 7 15 6 6 4 5 10 3 13 14 13 7 3

5 7 15 5 14 12 3 7 2 3 15 11 5 2 1

11 1 9 11 1 6 3 2 15 10 2 10 9 13 7

10 14 8 10 7 11 1 15 3 14 15 6 15 5 13

3 15 4 9 7 11 10 5 4 8 1 15 11 4 10

2 8 8 11 7 7 5 5 12 11 11 2 13 6 8

8 8 10 10 12 1 9 1 8 3 12 11 7 6 13

15 6 11 3 5 5 11 5 12 15 9 10 8 9 2

6 14 6 2 12 7 8 1 6 9 14 13 9 9 14

9 6 6 15 8 5 9 8 5 11 14 6 5 6 2

4 2 15 3 1 3 7 12 1 1 10 12 12 6 8

12 12 1 1 3 13 2 10 11 13 3 13 8 8 3

4 6 14 9 11 7 8 2 7 12 4 5 10 10 9

8 4 14 14 8 14 13 2 7 2 3 9 5 15 1

11 7 12 11 3 6 14 12 10 8 1 15 3 11 12

14 2 2 3 6 12 5 14 1 5 2 9 8 7 13

15 2 4 6 10 6 4 9 5 9 10 5 6 13 14

9 15 6 7 3 13 9 2 12 6 15 10 12 3 15

3 15 11 15 12 12 10 13 11 7 6 6 12 1 8

3 9 3 3 4 6 7 6 2 3 7 12 11 2 5

4 1 11 13 14 4 4 5 2 4 15 7 3 3 2

13 4 2 10 5 12 15 12 2 1 15 8 1 5 8

4 6 10 6 12 15 2 1 1 14 11 11 9 5 9

13 13 8 3 3 5 2 1 7 10 15 15 5 1 12

4 1 12 7 5 11 3 11 10 14 12 5 15 9 2

14 1 11 8 2 7 3 10 11 3 6 13 15 2 10

6 3 14 2 9 13 10 8 8 14 10 12 5 3 8

3 10 14 9 11 12 9 11 2 12 4 15 13 10 3

4 11 6 4 9 3 1 11 10 9 5 1 14 13 15

10 10 11 6 7 13 14 12 2 7 11 6 9 15 9

8 7 3 9 10 15 11 5 3 4 8 10 14 9 7

6 9 1 4 10 8 12 11 2 12 7 5 15 15 15

13 5 12 5 11 14 1 9 3 4 10 4 9 9 10

9 12 8 10 10 9 13 6 3 1 12 11 11 8 7

9 3 8 4 15 3 15 1 3 12 9 10 9 5 13

14 11 14 13 4 3 15 12 5 11 9 9 1 7 8

5 3 10 15 11 7 13 6 5 11 9 10 7 8 9

12 6 10 11 4 12 12 10 4 10 8 1 10 2 11

12 10 13 6 2 13 8 12 4 7 2 6 8 14 6

6 12 13 9 10 12 3 2 14 6 11 7 6 1 4

9 2 9 2 7 5 6 2 11 13 15 4 15 7 9

2 14 3 14 7 9 3 9 9 5 6 11 13 13 14

1 12 4 14 10 2 1 8 3 13 15 13 13 6 7

8 8 14 13 12 2 15 14 4 12 6 5 6 10 2

12 7 1 4 6 3 5 12 2 13 14 11 9 13 7

15 7 8 9 10 11 5 12 14 8 7 3 14 14 5

2 5 3 1 7 8 5 1 11 10 7 13 15 14 7

9 8 15 7 13 3 8 2 9 15 4 3 11 3 13

8 8 11 5 13 8 10 2 5 7 2 9 4 4 7

1 13 8 3 4 3 1 12 3 1 5 6 10 14 6

6 12 8 3 10 1 13 15 10 14 11 13 2 9 6

Columns 16 through 30

3 11 13 3 3 12 15 1 2 13 13 1 8 8 11

4 7 9 3 12 14 9 13 13 3 11 9 9 8 6

2 11 15 5 6 4 15 8 11 2 8 15 1 15 15

7 4 1 14 7 2 11 11 12 13 5 5 10 6 2

4 1 9 8 3 4 8 4 10 10 11 13 14 2 4

5 8 5 7 13 6 10 9 8 1 6 10 2 4 13

7 5 13 3 10 5 14 11 5 14 9 12 7 11 2

2 15 3 15 12 14 3 15 10 8 14 12 5 13 8

8 14 7 7 13 1 6 7 2 9 13 1 15 15 13

11 6 6 13 2 9 15 2 3 10 14 5 10 4 12

4 1 13 10 15 3 7 1 1 12 15 10 4 12 3

12 11 11 6 8 13 10 10 15 13 13 8 2 9 7

2 13 4 14 12 3 14 12 15 6 1 15 9 7 6

6 15 5 12 12 8 15 11 2 2 1 12 13 8 8

1 1 3 7 13 15 10 6 8 12 2 9 13 8 9

4 7 11 13 3 6 2 15 10 5 4 5 13 10 3

1 9 9 14 7 1 1 8 5 13 1 4 4 12 14

3 11 3 7 10 4 10 15 12 6 7 14 9 5 10

3 11 3 6 14 6 9 2 9 13 6 7 14 2 3

5 10 8 9 13 6 15 4 7 3 9 13 2 13 9

3 11 14 14 14 4 12 12 5 2 14 2 13 6 14

3 6 9 11 9 15 10 14 12 14 5 13 14 12 12

9 9 1 6 9 11 8 12 14 1 6 1 4 3 11

14 2 1 12 13 15 4 5 11 11 13 14 2 2 7

15 1 13 15 1 7 15 3 7 12 6 14 8 14 4

4 15 7 9 14 15 9 13 15 7 3 8 13 14 9

8 5 6 9 7 1 1 12 4 6 8 2 8 15 4

6 9 12 5 1 10 11 5 8 15 13 3 7 13 5

8 15 6 2 12 13 8 4 15 6 6 11 8 1 14

4 3 8 3 3 4 1 5 5 7 11 13 2 9 14

2 3 11 2 3 14 14 13 4 3 10 1 2 15 12

7 6 14 7 10 12 5 13 14 5 7 12 14 8 14

3 14 5 1 4 13 4 9 2 5 8 15 10 14 3

1 6 10 14 5 9 2 9 5 14 15 6 4 2 8

15 5 15 10 7 12 5 5 9 4 2 10 13 15 10

7 3 2 1 7 5 4 11 4 5 5 6 1 14 14

15 6 9 1 6 4 10 12 10 7 7 4 7 9 10

12 6 7 4 10 5 1 7 12 11 9 12 11 7 6

1 2 5 7 3 9 5 7 8 3 14 11 6 6 12

11 7 4 2 3 13 5 7 10 14 8 5 7 11 13

11 2 12 1 2 5 14 5 12 2 7 9 8 1 10

10 10 15 11 5 7 7 11 4 7 12 7 14 6 2

9 1 3 6 12 13 12 14 10 1 8 2 12 14 14

4 9 12 12 4 10 10 14 2 12 13 1 2 9 1

12 12 3 7 12 15 12 12 8 11 7 8 5 8 8

4 4 15 7 11 4 2 4 13 4 8 5 6 8 2

6 7 13 1 13 13 15 11 14 11 8 6 13 5 6

14 9 7 1 13 11 13 2 8 9 4 5 7 15 13

13 1 11 2 5 4 1 2 5 13 2 3 4 15 4

7 8 8 9 5 8 7 3 10 9 2 6 9 8 14

5 10 13 4 8 6 5 3 14 14 14 11 8 15 11

10 4 6 13 5 9 10 9 8 7 4 4 14 7 6

14 13 2 13 13 13 4 2 15 6 13 10 15 7 4

14 15 9 15 13 2 9 13 3 8 11 7 13 4 4

9 13 14 8 9 13 10 11 2 4 14 7 11 3 12

5 8 3 4 4 13 9 14 5 14 15 3 12 13 1

13 5 7 4 11 6 7 8 6 8 3 3 14 11 11

7 12 12 9 4 7 1 10 7 4 6 10 1 8 10

14 4 1 12 7 9 8 14 5 7 15 5 6 13 12

1 15 15 6 6 11 7 9 11 11 10 9 1 8 15

8 10 12 7 9 12 2 5 2 7 14 15 13 9 6

11 10 9 10 15 12 7 15 7 3 8 11 8 4 4

3 3 3 14 12 6 7 1 5 13 1 11 6 9 14

6 2 8 3 15 7 9 5 5 9 10 15 4 3 13

3 4 8 11 4 15 13 15 2 6 4 12 9 1 7

5 13 15 9 8 9 11 6 9 4 8 10 5 11 2

7 14 13 7 1 13 14 5 5 4 11 15 2 10 9

9 11 15 14 12 5 1 2 3 8 10 1 2 4 3

1 11 11 6 10 10 4 14 1 7 9 5 2 7 8

9 4 7 3 13 9 7 3 5 12 7 15 7 10 6

5 9 15 10 15 15 15 5 9 2 4 12 2 9 5

4 13 8 10 14 2 12 14 14 13 7 8 7 2 11

4 7 4 5 7 8 7 8 1 11 1 11 14 3 8

3 15 6 13 1 8 6 10 14 3 10 7 6 1 12

15 2 11 15 9 2 1 9 2 13 15 6 2 7 4

15 5 9 15 4 14 12 11 13 3 2 4 9 8 11

13 8 12 2 4 14 8 1 13 10 1 6 14 3 1

11 1 15 4 5 7 3 8 14 9 14 1 6 11 13

3 11 15 1 2 12 7 1 3 3 4 8 1 1 11

6 9 9 10 12 3 3 13 8 1 1 6 3 2 15

3 8 15 2 12 10 12 6 7 12 13 15 2 15 2

1 13 2 7 9 4 6 13 3 12 3 9 12 15 14

5 13 1 14 6 7 15 4 9 7 14 13 7 1 8

11 12 5 9 13 13 1 9 10 1 2 7 11 8 10

10 5 9 6 9 3 13 15 4 9 6 7 11 13 5

9 7 8 4 15 5 10 1 8 3 9 13 9 4 2

7 12 14 7 14 8 9 1 15 11 9 15 10 13 13

5 2 9 15 6 6 10 1 8 9 11 8 14 13 3

8 2 7 2 9 12 11 11 11 4 10 14 10 10 6

12 5 9 8 6 15 2 9 7 14 7 12 14 1 10

12 8 11 13 10 3 14 2 1 12 3 9 8 6 15

9 15 1 1 12 4 1 12 5 14 12 15 3 14 8

12 11 13 11 12 11 5 10 13 2 4 13 2 11 15

10 5 3 15 2 6 3 2 6 3 10 15 11 6 4

2 5 8 5 13 15 14 2 2 12 13 10 5 10 6

8 13 4 3 1 15 2 3 8 11 2 6 11 4 11

6 14 6 11 7 10 9 12 6 12 15 8 10 9 1

2 10 10 14 11 13 10 2 12 8 1 14 8 15 12

3 4 3 10 12 7 10 4 8 7 13 1 11 13 7

3 2 5 14 6 10 13 4 13 10 13 3 8 5 13

Columns 31 through 45

6 15 4 9 11 12 14 13 10 13 7 14 2 8 12

5 9 6 7 3 2 10 13 15 14 15 13 6 2 13

15 4 7 2 7 3 11 13 10 3 11 2 11 5 4

11 9 13 11 8 6 12 6 10 10 9 7 6 14 8

7 14 13 10 8 13 6 6 14 15 9 2 13 13 7

2 14 7 12 13 9 4 13 9 15 11 9 5 1 6

12 8 6 9 11 9 1 7 6 2 1 15 3 10 13

10 7 14 13 13 14 8 9 15 3 12 4 11 13 15

2 5 12 9 8 9 10 11 7 12 14 15 4 4 10

2 1 12 15 15 1 5 15 10 1 1 6 14 1 3

15 12 15 14 2 13 8 9 11 2 13 4 12 4 2

8 2 8 8 9 10 4 10 11 8 12 10 7 2 9

1 6 12 12 5 8 5 9 4 13 15 15 1 8 5

1 6 7 8 8 5 10 14 2 15 4 10 3 7 5

3 14 13 13 11 4 14 13 5 1 14 1 5 6 9

14 1 6 5 4 8 13 3 14 9 10 6 14 14 3

7 13 12 15 10 4 4 3 9 13 2 3 10 7 11

9 5 15 5 5 1 6 4 7 14 5 4 5 5 1

8 4 8 2 14 3 14 12 7 13 12 1 5 1 1

2 8 7 12 3 4 4 3 12 14 13 14 7 4 5

14 11 4 13 2 3 15 15 10 12 2 12 14 4 2

5 4 5 14 15 10 10 11 10 2 8 6 14 1 14

5 4 2 5 3 13 3 3 3 8 4 13 8 11 13

9 15 6 13 3 13 13 13 7 3 14 12 10 1 6

8 9 5 9 3 13 10 14 8 13 5 10 11 10 3

6 5 6 7 2 11 9 15 6 14 13 6 1 7 7

10 15 13 13 7 13 4 9 8 3 4 6 9 4 7

15 14 8 15 11 12 1 9 6 14 14 2 1 10 11

10 3 8 2 13 4 4 3 12 6 3 6 7 5 7

5 1 12 11 12 15 6 8 6 6 12 9 8 2 15

4 11 2 4 11 2 10 9 11 5 1 7 1 9 14

7 14 10 6 8 10 15 3 8 14 10 10 1 3 15

1 2 6 5 11 4 4 8 11 12 9 8 14 14 6

14 1 6 13 15 4 12 9 15 7 6 13 9 10 5

10 9 9 15 8 6 14 3 8 11 4 2 6 13 14

4 10 13 10 5 3 8 10 14 15 12 7 6 12 4

8 8 3 11 12 8 3 1 4 3 3 9 3 13 2

1 1 11 14 4 15 13 5 14 4 8 3 3 10 8

13 11 14 11 4 6 8 8 2 10 1 10 6 11 14

7 15 3 9 7 9 2 5 7 13 3 1 6 11 7

9 14 5 6 10 10 14 10 1 13 8 9 12 5 4

9 2 8 10 10 11 10 6 13 6 13 13 8 8 2

11 6 14 6 2 7 2 3 3 2 3 8 7 14 14

6 4 8 7 2 13 14 14 3 2 11 7 2 1 10

2 9 5 6 5 14 1 10 3 6 11 3 14 8 6

7 10 9 8 12 12 1 10 11 13 1 1 11 7 10

1 5 9 8 7 5 15 11 4 4 8 12 13 14 12

12 12 7 14 13 12 11 12 5 12 15 12 10 10 6

1 12 1 4 15 3 6 13 12 10 2 5 15 15 11

15 12 11 6 6 8 8 8 8 1 12 2 15 9 4

12 6 8 9 1 10 12 3 14 12 10 6 4 13 15

15 1 6 8 9 11 1 6 1 14 9 13 10 8 11

8 11 1 4 12 6 11 13 7 8 8 13 11 9 3

4 15 6 9 5 11 11 3 9 13 9 10 8 3 7

4 3 4 14 8 14 7 5 9 2 7 15 13 10 10

12 2 4 1 4 1 9 15 13 12 2 15 3 15 14

15 14 13 7 15 3 6 13 2 14 5 2 2 9 8

6 8 6 2 8 13 3 4 5 13 9 10 1 8 10

12 13 1 9 9 7 6 15 1 4 10 8 3 12 11

2 13 6 9 4 7 14 1 15 4 14 1 9 2 14

9 3 12 12 2 15 4 7 12 8 15 14 8 14 3

7 4 3 4 1 12 6 7 12 6 2 8 6 1 7

11 1 14 9 13 15 5 7 3 8 10 12 5 8 5

4 10 5 7 12 4 2 2 6 15 10 1 1 11 11

2 12 5 13 3 2 8 7 3 10 8 4 13 9 14

7 8 4 10 14 6 13 10 8 15 6 10 10 8 8

10 1 12 6 11 8 14 15 13 8 8 3 7 5 13

2 15 2 6 10 9 11 4 10 7 11 10 4 10 5

7 8 15 4 15 15 6 6 11 12 15 6 13 14 9

10 5 3 15 1 8 5 4 10 12 2 12 13 11 6

13 3 5 5 7 7 11 5 11 7 12 10 13 15 14

5 10 11 3 8 15 14 3 13 1 9 6 8 2 11

7 9 3 6 9 4 14 1 10 2 14 5 15 8 13

14 12 8 12 2 10 2 7 3 12 2 6 13 2 2

11 3 11 11 10 15 8 4 9 10 5 14 2 9 5

4 6 14 11 1 11 2 14 3 1 1 7 4 11 12

12 3 11 1 9 5 4 8 14 9 8 7 13 3 4

5 13 12 6 11 8 14 14 2 11 12 7 7 12 1

5 6 7 14 8 1 3 15 6 2 5 15 7 6 7

1 5 4 5 10 14 2 9 9 4 4 4 15 14 15

6 1 8 9 4 7 9 2 8 13 5 14 15 5 4

7 13 4 5 10 5 5 14 13 3 7 1 12 1 9

5 8 13 2 6 15 6 9 8 14 12 6 9 4 6

5 9 10 6 2 7 12 14 4 14 8 12 14 2 1

4 14 13 13 6 5 13 7 11 1 6 6 8 15 8

15 11 12 15 4 2 11 10 3 6 14 10 3 1 13

13 11 8 13 4 9 7 2 10 3 15 7 5 2 4

6 3 5 2 10 3 10 14 10 9 10 1 5 1 1

8 9 11 6 8 2 4 10 4 2 2 9 9 4 4

9 15 15 4 7 9 10 2 3 1 10 10 2 1 10

8 9 12 5 4 5 11 11 3 14 6 10 2 10 5

5 13 13 15 13 6 10 6 3 15 15 6 3 8 10

15 15 11 9 13 11 6 2 4 6 5 8 15 4 1

3 14 9 12 5 13 6 4 15 10 11 11 13 3 11

13 4 12 13 10 6 3 4 1 2 9 14 11 2 6

1 1 8 3 12 15 12 4 15 4 3 1 15 6 1

5 7 13 14 15 15 8 11 1 1 11 2 15 1 7

12 1 2 2 14 4 6 12 15 8 1 10 15 10 11

10 8 15 12 6 12 12 9 5 3 3 12 3 8 14

3 15 2 11 3 10 4 9 8 15 1 15 15 5 15

Columns 46 through 60

15 5 1 7 11 3 2 7 7 5 11 12 12 10 5

14 1 15 10 15 12 1 5 1 10 5 8 14 12 7

13 2 8 3 14 8 10 3 6 5 9 6 8 1 5

13 12 14 8 2 10 1 3 6 12 3 1 13 13 12

9 11 6 10 15 15 3 13 5 12 7 4 9 6 6

7 12 14 1 3 5 11 8 13 15 1 9 12 6 2

2 10 4 8 15 2 8 15 7 7 4 7 1 5 10

10 13 14 14 9 12 9 15 13 7 4 14 8 9 6

13 1 14 2 4 6 13 7 12 9 8 1 4 5 6

5 7 6 7 2 9 12 6 5 13 4 7 5 6 2

13 4 10 10 5 3 8 4 2 1 6 9 15 6 14

2 8 9 5 13 2 5 7 1 3 12 3 4 10 7

6 14 14 15 2 3 2 4 10 15 7 9 8 10 2

5 5 4 11 6 13 14 7 7 15 1 13 4 15 14

3 9 1 4 2 5 15 7 14 7 6 3 9 15 5

10 1 14 9 3 6 15 4 7 13 8 3 15 6 10

5 3 4 14 1 10 10 3 3 14 13 1 2 3 10

15 13 4 9 11 13 2 7 9 11 5 10 15 14 4

8 3 10 12 2 12 2 8 15 6 13 1 2 5 15

12 13 5 14 10 6 3 5 10 7 9 5 3 9 10

1 6 13 13 3 3 1 11 6 7 1 15 10 14 9

10 11 14 2 10 10 11 7 4 11 4 12 2 2 14

9 1 15 3 8 1 3 7 13 7 9 4 2 4 9

13 12 6 3 5 5 10 12 15 15 8 11 10 7 1

10 8 13 1 13 10 12 13 6 6 3 3 1 9 8

14 15 3 1 13 9 9 12 2 6 4 10 15 14 13

14 5 10 9 15 5 6 12 3 14 12 13 9 4 12

3 6 11 10 1 15 13 8 9 9 10 14 6 15 9

3 2 2 14 10 2 5 9 3 12 3 6 11 7 1

12 15 8 12 1 12 5 10 5 2 11 8 15 12 11

1 7 14 5 2 3 12 2 7 7 7 11 6 8 7

6 2 4 8 2 7 8 4 6 2 7 11 11 5 10

5 11 4 4 6 13 4 10 5 10 11 7 10 7 12

12 8 13 11 4 6 11 5 7 11 7 6 12 11 13

2 5 8 2 6 2 3 12 4 14 1 5 9 14 1

12 12 3 12 4 9 14 5 1 10 2 2 6 14 12

12 13 4 13 6 5 4 1 10 11 9 7 13 3 9

8 4 10 12 7 2 2 5 3 13 7 3 4 2 2

4 9 9 6 10 11 2 9 13 8 14 6 12 14 4

2 7 5 9 12 8 12 15 7 7 2 14 15 10 3

10 3 10 8 5 3 13 11 5 13 6 8 5 1 9

1 10 11 2 13 2 12 11 12 13 9 14 11 8 9

1 15 5 13 12 4 12 9 12 3 2 2 10 14 2

2 2 7 11 13 3 15 9 3 1 14 15 7 6 15

7 14 6 5 3 5 7 14 2 1 10 2 8 5 4

11 9 12 15 1 15 12 6 3 3 14 5 15 4 5

13 7 3 3 10 8 7 7 10 3 10 12 15 4 5

8 3 14 5 11 4 15 4 13 10 1 10 11 6 1

1 4 5 7 2 7 1 12 8 1 5 7 6 9 8

5 7 8 4 2 11 15 9 3 8 2 5 1 5 4

10 8 12 3 9 9 9 6 11 11 10 2 9 10 7

12 6 11 11 13 10 6 11 14 2 1 5 9 13 15

5 12 3 3 13 13 9 2 4 4 11 3 6 2 14

8 14 11 8 2 6 5 1 14 5 8 5 14 11 2

13 12 2 5 11 12 3 9 4 3 5 2 10 10 9

9 7 15 7 14 3 10 10 13 5 8 13 10 8 6

9 10 14 14 7 1 11 9 13 13 11 15 5 14 11

5 10 8 4 2 6 12 14 8 5 13 4 2 2 8

7 2 11 1 4 13 6 10 8 12 5 11 5 9 4

12 8 15 14 11 6 4 8 14 9 5 1 4 4 8

6 5 2 11 1 15 6 4 1 9 6 10 6 1 13

7 9 12 8 7 10 5 1 8 11 10 11 13 9 11

6 15 13 8 9 6 14 11 10 12 13 1 3 13 3

11 7 12 2 15 14 12 3 12 14 12 1 3 9 3

9 1 3 15 4 14 5 5 4 3 14 3 8 13 6

10 14 7 6 2 13 10 4 1 12 14 13 10 4 13

8 14 1 10 10 4 12 9 3 3 3 5 3 10 11

6 6 5 6 2 5 13 9 12 1 13 8 10 3 10

8 4 3 1 15 12 14 12 15 2 15 8 13 5 3

1 12 7 9 4 11 9 14 6 3 12 9 12 1 2

7 8 9 8 10 8 2 12 15 2 14 5 4 11 14

15 9 12 4 13 15 4 15 5 15 2 7 5 15 7

12 11 7 1 13 8 14 3 3 5 10 7 3 12 8

11 2 8 13 8 15 7 14 6 15 5 15 7 12 7

12 14 14 1 12 8 10 1 9 10 10 1 5 9 8

12 15 14 5 14 8 12 4 10 14 14 6 5 5 5

13 2 9 12 14 12 4 1 9 6 6 12 14 4 4

12 13 14 15 4 6 9 11 5 4 12 9 6 5 14

15 14 1 9 9 7 4 14 3 3 3 5 6 15 14

2 1 13 12 12 2 1 9 3 9 8 14 9 4 10

6 8 6 11 3 12 12 3 3 4 10 2 2 9 6

8 10 4 10 12 9 1 8 11 5 11 5 4 4 9

4 6 13 10 8 10 6 9 7 1 5 14 11 7 11

1 10 6 15 9 12 4 3 2 9 4 10 9 3 14

15 12 3 9 4 4 4 5 11 15 14 11 4 6 2

11 9 1 6 2 13 10 11 3 13 10 8 13 12 9

3 10 15 11 5 14 14 9 13 1 2 3 7 13 7

3 5 11 7 14 5 1 3 8 10 10 15 9 14 10

11 13 13 2 8 11 12 6 9 6 3 14 8 9 9

6 7 15 7 5 6 12 6 4 2 12 7 3 13 4

2 10 11 9 12 5 14 9 12 9 13 13 2 11 2

7 13 14 6 12 3 15 1 8 7 6 5 7 1 1

3 5 4 6 1 10 2 9 9 8 3 6 1 3 1

12 7 14 12 14 9 8 14 7 14 12 12 7 4 5

14 9 14 8 12 13 13 2 11 3 5 2 9 4 12

1 7 5 8 5 5 10 11 2 7 4 15 10 3 6

10 2 2 2 11 3 15 15 9 1 4 1 1 4 10

11 12 12 4 5 7 15 10 13 6 2 5 11 5 15

4 1 2 7 14 8 15 11 7 11 9 1 3 15 10

13 7 11 10 5 12 2 5 10 2 7 7 9 6 9

Columns 61 through 75

4 8 9 4 8 10 6 9 10 8 12 15 14 12 5

12 1 9 4 10 5 4 10 3 12 11 12 6 3 15

14 4 11 10 1 5 8 8 11 6 14 12 11 1 8

13 2 14 11 9 3 1 1 10 10 9 1 4 11 12

9 2 15 13 12 6 13 8 1 5 10 2 1 8 11

10 14 14 1 10 14 4 1 12 5 2 4 10 8 12

14 1 10 4 8 14 11 13 15 10 4 14 11 5 5

7 13 14 8 13 6 12 9 7 7 1 15 5 5 5

5 8 2 6 15 11 11 11 6 2 7 15 9 14 11

10 2 6 6 5 4 10 10 1 4 5 6 5 7 3

5 8 1 1 12 15 4 10 4 15 5 5 13 12 13

10 9 9 12 5 10 8 15 9 11 8 3 6 3 3

1 2 12 7 1 4 15 3 10 10 3 12 11 2 15

15 15 3 11 2 2 4 8 4 5 15 11 10 4 11

4 10 7 9 5 9 4 13 10 1 15 3 15 9 3

10 7 2 1 5 5 5 8 1 9 9 7 4 10 13

6 13 5 5 1 2 12 12 15 1 1 1 9 15 14

11 4 12 15 3 3 5 3 2 4 14 10 2 1 9

1 13 9 14 7 1 10 11 6 3 11 12 9 3 6

2 5 12 6 12 11 3 14 10 7 2 13 13 7 7

14 15 10 10 11 12 2 3 8 12 15 12 1 5 11

2 4 14 9 11 13 5 7 8 10 5 7 5 2 4

5 15 1 13 7 4 4 1 6 5 13 6 11 13 1

8 8 3 15 14 14 14 4 12 5 7 1 13 6 15

4 9 7 2 15 10 15 10 5 2 9 13 8 10 15

9 15 12 14 14 1 1 14 10 3 8 2 15 9 12

12 12 14 9 7 6 9 6 14 11 9 1 7 1 15

8 5 1 3 14 9 1 1 5 2 3 5 5 10 8

14 1 3 4 6 10 7 14 13 14 9 15 8 5 2

3 1 7 11 10 7 8 8 12 7 3 11 3 4 7

7 13 12 9 9 13 13 14 2 2 7 6 3 7 12

5 7 8 9 13 3 10 5 3 9 9 13 5 10 11

9 6 12 15 5 15 4 11 7 13 7 11 12 13 14

1 8 3 9 10 13 14 1 11 6 13 10 10 9 12

1 14 11 2 10 6 12 8 10 12 15 7 15 1 10

5 7 10 3 10 10 9 5 11 11 15 15 12 12 5

2 10 1 2 5 5 14 6 1 9 12 13 9 5 6

3 2 12 3 5 2 6 15 2 6 3 1 7 13 13

6 6 15 11 3 8 6 12 12 6 1 3 5 11 6

1 3 2 10 2 13 10 6 13 7 3 8 12 10 2

11 4 6 6 5 12 2 10 12 7 9 9 2 6 13

10 6 3 3 6 15 6 7 15 4 10 5 2 1 7

3 5 11 6 9 6 3 9 14 8 6 7 12 15 3

1 4 3 12 15 6 13 15 4 1 10 6 6 10 1

7 10 15 6 1 3 11 10 8 9 14 3 9 4 10

7 12 1 12 11 6 11 3 12 1 4 15 5 2 6

4 4 1 5 14 9 14 13 8 14 5 6 11 4 6

14 14 13 10 13 9 13 11 10 13 2 13 6 14 7

9 12 13 14 2 3 9 2 9 6 8 1 11 4 8

1 9 9 4 15 2 1 3 11 15 13 7 15 8 5

14 15 12 8 7 6 2 5 1 15 5 2 2 14 8

7 9 8 2 14 13 8 7 8 15 12 5 8 3 1

1 4 9 2 13 3 15 8 4 3 7 15 2 7 3

2 13 3 1 6 8 13 5 6 1 9 13 11 10 5

15 13 8 2 10 2 15 13 9 4 15 3 14 9 12

13 5 1 10 13 13 15 12 12 6 11 9 2 10 9

10 5 1 7 1 12 6 5 7 4 15 5 8 5 11

1 13 6 10 2 9 5 10 8 12 2 14 9 7 13

5 8 10 13 6 6 12 2 2 4 14 2 11 12 13

7 1 14 12 3 8 4 11 4 7 1 12 5 14 2

2 12 11 15 1 14 15 6 5 4 2 3 10 8 10

9 7 11 12 12 14 14 11 7 6 10 11 3 5 12

5 5 11 15 5 8 6 5 4 14 6 4 10 7 11

7 6 12 12 13 8 6 11 4 1 5 4 11 5 10

9 6 10 4 3 14 11 6 14 2 12 4 7 5 1

2 12 8 11 11 9 11 6 9 6 5 15 3 3 3

1 1 5 11 14 12 13 4 15 13 10 6 7 3 5

5 11 15 12 12 10 9 11 10 4 7 10 9 8 10

8 14 4 12 4 8 2 13 4 15 5 1 5 2 4

9 5 8 5 6 4 9 14 2 15 13 4 13 14 2

4 10 12 8 6 10 1 8 9 6 9 14 2 3 15

14 4 4 12 5 3 12 3 7 15 2 7 4 3 4

13 10 13 9 6 3 10 10 11 2 4 1 15 11 15

7 2 9 15 2 13 9 3 12 12 3 7 10 11 10

15 15 14 3 7 2 4 7 6 9 9 13 12 6 4

9 10 6 14 7 10 11 13 9 10 4 14 13 2 8

4 6 15 12 1 7 11 7 4 8 8 5 1 1 11

13 1 14 5 10 10 6 14 15 4 11 4 7 6 4

7 13 9 10 1 12 1 6 8 3 15 13 11 12 2

4 10 2 7 3 5 13 11 5 10 12 7 3 7 9

15 13 6 2 11 1 12 9 4 13 2 8 10 2 4

3 8 5 9 9 13 8 2 15 11 15 3 4 13 5

8 1 4 15 1 6 11 7 11 8 15 3 13 10 15

15 14 4 7 5 10 12 14 11 15 10 14 13 7 5

10 7 1 9 6 14 5 1 10 9 15 15 7 9 15

10 11 14 2 3 5 14 6 12 4 5 6 6 8 7

8 3 7 3 2 15 9 4 9 11 14 13 15 10 1

9 13 9 3 7 13 5 4 8 5 1 15 1 10 5

14 14 5 1 6 12 5 6 14 12 8 14 6 3 3

6 12 15 5 13 10 14 14 6 15 3 13 8 13 15

4 12 15 4 9 9 6 8 4 5 5 11 10 3 7

7 7 15 6 13 6 3 13 5 14 3 3 2 7 9

5 11 10 3 7 13 15 6 14 11 9 4 3 4 4

7 9 11 15 1 9 10 7 11 2 10 7 10 5 14

10 9 6 8 1 12 15 15 13 4 6 1 4 1 2

9 6 8 6 3 15 3 2 6 15 1 5 2 14 13

6 11 5 4 6 12 13 2 10 8 1 15 1 8 7

14 3 11 6 11 13 8 11 1 14 1 5 3 7 14

5 1 12 6 3 8 9 14 14 12 2 9 8 8 8

7 9 2 14 5 14 1 2 8 1 1 10 14 6 14

Columns 76 through 90

6 1 11 6 10 11 4 1 12 11 7 10 2 15 5

7 11 8 7 10 8 11 11 10 1 5 14 7 13 2

9 13 2 12 8 1 10 14 15 6 10 10 7 3 6

14 2 7 3 3 2 11 7 3 8 6 8 10 10 4

2 8 7 10 8 2 13 10 10 12 2 9 2 1 10

1 6 10 14 12 10 11 9 5 3 15 15 9 3 12

7 12 4 10 7 4 1 4 2 8 8 8 2 3 7

9 5 2 1 12 3 9 12 14 2 8 6 2 10 10

14 13 8 11 11 8 14 5 9 12 5 15 7 13 5

5 3 11 4 15 14 2 14 5 6 3 15 5 13 8

9 13 10 11 5 10 9 5 3 4 13 14 15 8 5

12 14 14 6 6 11 14 9 6 2 5 12 8 12 13

5 3 4 9 6 4 3 6 2 2 9 10 7 5 12

2 1 4 4 1 4 8 4 10 14 9 12 5 15 3

7 9 4 14 10 1 2 9 4 4 15 7 8 15 2

1 1 13 6 9 10 12 2 12 15 5 6 12 2 8

11 13 11 2 6 8 5 3 5 6 4 4 3 5 12

2 14 14 1 7 8 3 2 7 15 5 14 1 5 13

3 11 11 10 7 13 15 5 1 6 9 15 11 4 11

8 4 10 15 5 15 11 13 1 1 6 15 10 12 14

10 9 7 5 4 12 13 8 3 10 4 2 7 6 3

6 15 9 12 2 4 11 13 5 9 11 1 14 3 4

10 14 15 5 3 11 11 15 1 14 4 3 8 3 14

13 10 15 2 15 12 8 5 6 4 15 8 14 14 7

11 12 6 8 8 9 3 4 1 12 8 2 8 15 3

6 13 3 6 12 13 8 8 2 6 7 1 14 8 11

9 9 7 15 5 14 9 6 2 15 9 2 11 1 14

4 1 9 5 1 10 13 13 14 13 10 10 11 7 12

11 4 1 9 10 1 4 4 5 11 13 1 1 2 13

6 7 14 9 6 3 8 13 9 4 14 10 9 15 9

2 7 14 10 10 1 13 9 6 1 3 9 7 5 4

5 14 8 9 13 15 6 11 15 4 2 2 10 14 8

5 2 4 5 2 8 9 6 12 9 5 4 9 14 13

1 6 11 3 9 12 11 1 14 2 10 6 4 12 4

3 3 11 11 9 7 4 3 9 13 6 2 9 14 11

13 4 7 1 8 8 10 8 11 14 14 12 13 1 13

10 11 3 13 7 7 1 1 6 6 1 7 1 15 8

13 5 12 7 15 14 8 9 4 8 15 1 2 2 7

5 4 14 13 3 14 9 5 2 1 11 11 12 5 15

14 3 3 15 9 10 1 11 3 5 10 14 1 8 10

4 4 15 7 10 5 14 14 15 8 3 3 3 15 13

15 13 1 1 1 5 13 1 1 4 1 13 5 9 7

7 6 7 12 10 4 12 6 14 11 9 4 14 5 5

4 10 1 10 13 11 12 7 8 14 1 1 10 2 6

13 15 4 8 6 12 6 2 13 9 11 8 1 3 11

6 7 11 9 7 13 3 2 7 4 4 15 5 5 3

8 10 11 5 2 13 6 2 6 14 4 12 3 7 8

12 15 4 12 9 4 10 14 12 1 15 7 5 6 2

13 6 5 6 14 13 14 15 6 10 3 11 1 7 3

6 10 2 14 4 10 2 6 9 15 12 8 13 10 15

2 5 1 6 2 4 12 5 14 8 1 7 12 7 10

4 14 12 12 3 6 1 9 13 15 5 15 11 1 7

12 5 5 13 11 7 12 12 4 5 15 9 13 1 11

15 5 8 1 11 8 7 12 7 8 5 12 12 6 8

9 14 15 7 10 9 1 13 13 14 2 11 2 15 10

15 8 11 15 8 6 13 12 3 4 10 3 6 9 12

9 4 8 7 5 5 3 1 12 13 10 11 1 14 10

15 1 10 5 10 11 2 14 14 3 14 6 1 5 8

12 3 10 10 9 15 5 1 8 7 14 2 1 5 8

3 5 4 13 10 9 5 1 9 14 1 10 3 14 2

8 15 13 12 2 9 10 11 13 11 12 8 3 12 14

10 12 8 9 11 12 11 9 15 8 13 1 8 6 7

14 11 7 12 11 6 15 8 12 10 8 8 7 14 7

10 13 11 12 14 7 15 8 6 2 2 5 9 7 1

15 7 9 7 13 8 12 1 8 4 2 13 5 7 8

2 11 4 13 3 14 5 4 4 1 4 1 9 7 15

5 8 2 8 15 7 15 2 8 13 12 4 9 7 5

8 13 9 15 3 10 7 15 2 1 7 14 2 11 12

2 7 11 12 4 7 4 2 1 9 13 4 2 2 2

4 13 9 2 1 9 10 1 10 2 3 5 1 12 12

3 1 9 4 5 1 1 10 10 9 11 6 3 2 12

11 15 8 2 5 13 1 6 2 10 3 13 8 8 9

5 5 5 9 9 11 3 2 10 12 13 9 13 4 3

12 1 7 1 6 4 4 10 9 5 9 13 5 9 14

9 3 12 8 3 1 11 12 13 14 15 2 3 4 4

4 8 15 15 6 12 7 13 10 12 2 3 1 15 1

11 14 4 11 3 9 13 5 5 2 15 10 15 1 10

1 5 12 14 13 10 6 7 2 5 6 1 4 3 10

9 12 3 8 3 10 13 7 1 14 2 12 10 10 8

15 3 1 5 11 12 12 10 10 2 15 10 4 5 9

6 11 7 3 12 14 9 12 11 12 10 12 4 3 11

9 4 9 15 1 10 3 15 5 2 7 3 12 3 7

14 2 4 12 3 2 8 2 7 12 9 12 3 15 9

4 13 3 15 1 11 7 4 6 10 6 12 13 5 7

13 11 11 11 13 7 6 6 2 12 4 14 2 4 2

3 15 6 3 1 10 2 15 2 14 1 7 15 10 6

14 15 8 5 10 10 4 6 2 3 3 3 10 1 9

5 9 11 1 7 11 6 14 11 1 6 5 5 2 2

13 14 9 1 13 1 6 4 4 13 14 5 14 5 2

13 8 8 5 6 4 3 4 4 8 7 7 1 4 5

3 14 12 3 1 3 5 15 1 2 10 6 12 11 11

15 1 11 11 4 14 5 15 11 2 6 10 14 11 7

4 2 5 14 11 8 13 10 9 2 13 15 10 13 8

12 12 13 6 9 11 6 8 9 3 12 5 11 9 1

13 6 10 2 14 11 14 6 12 15 2 4 7 9 2

8 6 9 12 12 2 5 12 13 5 2 14 12 8 6

14 10 1 8 2 4 12 12 6 9 10 14 1 13 6

2 1 13 11 15 5 10 1 3 13 6 5 3 7 15

3 6 2 11 12 14 1 1 3 4 2 2 2 6 12

13 1 13 7 1 4 11 5 11 11 10 12 3 9 10

Columns 91 through 100

14 10 2 11 7 3 13 3 10 15

8 3 3 11 5 8 4 12 2 10

6 2 10 5 5 1 7 7 2 4

14 14 11 9 9 5 6 10 2 14

4 9 14 6 11 5 11 6 12 6

3 7 10 12 13 15 15 7 9 1

10 2 13 2 4 4 4 11 13 4

4 9 11 15 8 8 12 15 2 14

3 2 12 12 7 7 8 14 4 14

5 4 9 1 4 13 12 10 1 9

5 3 1 14 12 1 14 15 10 9

1 5 3 13 12 12 4 10 5 1

4 6 7 11 6 9 15 12 11 2

11 14 9 14 5 1 1 14 2 4

15 14 6 7 8 8 9 4 8 13

4 12 10 6 5 7 14 2 1 6

10 2 9 2 3 8 3 13 2 5

15 7 12 15 6 10 7 7 8 4

8 6 3 14 5 8 5 11 11 5

5 7 8 1 4 12 9 15 10 7

9 15 6 11 10 15 13 5 4 3

9 4 15 10 15 12 6 5 10 9

2 2 15 7 3 7 10 9 11 10

9 13 14 8 14 2 15 9 5 11

3 1 7 6 9 15 13 10 13 6

4 15 12 7 3 6 13 9 3 15

8 13 14 1 11 12 15 3 4 4

13 15 6 7 10 13 3 7 9 12

11 12 2 2 5 13 11 6 14 6

8 10 8 1 8 9 12 2 13 13

14 15 6 9 1 5 13 4 9 6

15 9 13 10 1 12 11 15 1 11

7 8 3 12 12 8 5 14 15 6

5 4 4 4 2 8 1 12 12 14

14 3 8 11 11 8 2 3 6 12

8 8 2 11 12 7 5 9 14 7

14 11 4 8 12 3 13 1 11 7

4 15 10 14 11 5 14 11 4 6

2 6 2 12 15 14 7 13 3 7

2 4 10 8 5 14 15 14 13 6

9 6 14 12 15 8 1 3 5 2

7 2 8 11 9 10 13 5 5 7

6 10 5 15 10 11 8 12 7 10

12 6 12 2 15 3 15 8 12 5

7 14 15 14 4 9 14 9 3 7

11 7 10 9 15 3 3 14 11 2

14 14 8 2 3 1 6 15 10 8

13 4 7 15 15 1 1 1 13 5

1 12 3 13 15 15 7 6 6 1

15 13 7 1 3 8 7 9 2 14

14 7 8 5 1 3 5 12 13 4

10 9 13 7 5 10 14 15 11 11

1 2 11 10 9 9 8 11 9 3

15 4 10 14 12 5 11 5 12 15

6 9 2 7 10 11 10 15 12 8

6 8 2 11 5 6 13 14 9 14

8 14 9 15 7 4 4 7 13 11

9 10 7 7 13 4 12 11 11 8

15 8 9 10 10 6 7 9 9 10

13 10 1 14 5 1 1 15 11 6

8 2 9 14 8 6 14 6 15 8

14 1 10 3 14 9 15 14 10 12

6 12 8 4 3 9 2 14 13 5

1 5 3 10 13 2 8 6 3 5

5 1 12 12 3 9 12 11 12 6

5 14 12 4 2 8 2 14 4 14

7 1 5 6 1 10 1 14 7 2

8 2 8 6 1 12 7 2 12 4

11 9 4 7 15 3 2 1 6 5

6 7 3 3 14 15 15 9 1 6

15 1 13 12 1 9 15 1 4 11

5 1 2 2 11 14 14 3 1 14

12 4 3 14 15 10 15 1 10 1

14 2 15 2 4 3 11 12 4 2

9 10 9 12 2 1 11 3 7 1

14 8 9 13 6 1 6 15 3 3

1 2 15 7 11 3 1 12 14 1

9 7 2 10 10 8 7 13 6 8

1 14 14 6 7 3 9 7 4 4

3 9 14 12 14 2 9 5 12 14

7 11 4 9 1 9 12 11 1 11

4 15 3 10 8 15 10 13 1 8

9 9 10 13 3 3 15 14 8 2

5 8 3 7 8 3 10 14 15 8

11 8 2 14 9 3 14 13 10 10

9 10 6 8 10 2 2 8 10 10

4 12 7 10 4 11 13 8 10 7

1 10 2 9 6 7 15 1 14 2

1 11 11 11 5 8 4 7 4 13

3 7 9 9 10 10 14 9 14 4

8 10 15 12 9 14 11 2 1 8

10 3 4 7 11 2 11 6 13 13

2 14 14 14 3 5 11 4 1 8

2 4 10 2 10 1 12 9 7 5

5 6 12 15 12 3 8 7 9 13

2 5 6 11 6 2 12 7 3 1

7 15 8 9 6 3 8 1 12 11

5 3 2 3 11 12 14 4 4 14

10 2 14 13 4 14 2 4 3 7

4 11 7 11 15 8 13 11 10 8

LA MATRIZ DE TERMINOS NO HOMOGENEOS (MATRIZ B) ES:

16

97

88

49

41

13

93

1

19

33

6

15

73

49

34

24

46

19

33

27

84

70

34

59

29

27

26

68

52

8

6

26

44

29

68

95

78

64

76

75

59

78

40

61

25

30

2

35

15

42

16

83

74

10

83

23

11

67

96

82

63

33

28

44

36

88

1

70

34

31

65

93

90

100

8

13

99

10

69

93

15

89

2

35

24

99

85

80

91

79

84

33

75

67

29

34

91

4

70

21

LA MATRIZ "L" DEL SISTEMA ES:

Columns 1 through 9

1.0000 0 0 0 0 0 0 0 0

0.0667 1.0000 0 0 0 0 0 0 0

0.2667 -0.0654 1.0000 0 0 0 0 0 0

0.0667 0.2290 0.5513 1.0000 0 0 0 0 0

0.8667 -0.4579 -0.0425 -0.3977 1.0000 0 0 0 0

0.1333 0.1075 0.0934 0.0724 0.1131 1.0000 0 0 0

0.8667 -0.3879 -0.1132 0.1992 0.1988 0.5422 1.0000 0 0

0.5333 -0.1308 0.7884 0.6622 -0.0775 0.6525 0.4365 1.0000 0

0.3333 -0.0467 0.5520 -0.2063 0.6721 0.1851 0.3704 -0.3141 1.0000

0.6000 0.2383 -0.0134 0.4013 -0.3967 0.3996 0.8335 0.5385 0.2143

0.6667 -0.3738 0.5541 0.7330 -0.4362 0.2191 0.1612 0.8499 0.1690

0.2000 0.7570 -0.3857 0.3095 0.2736 -0.6298 0.4039 -0.4341 0.6737

1.0000 -0.1402 -0.0856 -0.1735 0.6991 0.1605 0.5717 0.3280 0.0857

0.2000 0.8972 -0.2243 0.6364 -0.1422 0.2401 0.1703 -0.1238 0.2135

0.5333 0.1495 0.5053 0.4783 0.1897 -0.7553 0.3142 -0.2337 0.2424

0.9333 0.3318 -0.8146 0.1029 0.0162 -0.7178 0.8248 -0.4480 0.1174

0.0667 0.9299 -0.6865 0.1287 0.4256 -0.6945 0.0707 -0.4012 0.1070

0.6667 0.4673 -0.3708 0.0279 0.1392 0.2108 -0.1012 -0.2982 -0.5416

0.9333 -0.6495 0.7820 0.0649 0.1738 0.1304 0.0589 0.3592 0.2725

0.2000 0.3364 -0.1883 0.4757 -0.0355 0.3165 0.4350 -0.4152 0.6904

0.1333 0.2477 0.6334 -0.1583 0.4834 0.8332 0.3259 0.2304 0.6779

0.9333 -0.5794 0.0297 -0.3294 0.7013 0.5625 0.3586 -0.2780 -0.1594

1.0000 -0.2804 0.0559 -0.5880 0.9919 -0.8258 0.4419 -0.0770 0.6125

1.0000 -0.4907 0.3439 0.5020 0.0932 0.0504 0.3948 0.3025 0.3316

0.4000 0.1121 -0.2647 0.1650 0.2601 0.8905 0.6224 -0.2891 0.4410

0.6000 0.3785 -0.2307 0.1170 0.2803 -0.0299 0.4836 0.0666 -0.1296

0.4000 0.5327 -0.2350 -0.3202 0.5618 -0.7099 0.3143 -0.9079 0.7893

0.3333 -0.0467 0.5520 0.8846 -0.0664 -0.0331 0.3952 0.4021 0.2051

0.8000 0.2243 -0.7565 -0.6756 0.5242 0.6425 0.2450 -0.3324 0.1472

0.6667 -0.3738 0.2512 -0.1923 0.8818 -0.0673 0.4226 0.0581 0.8706

0.3333 0.3738 -0.2512 -0.1973 0.5999 0.3560 0.1915 -0.1190 -0.0868

0.4667 -0.0794 0.3326 0.3232 0.3520 -0.3517 0.1103 -0.3706 0.6947

0.6000 -0.3224 0.5527 -0.2438 0.6059 -0.0884 0.0421 0.2665 0.5793

0.7333 -0.3551 0.1062 0.0592 0.5769 0.3402 0.0135 0.3774 0.0086

0.5333 0.1495 0.2024 0.2542 0.3689 -0.8086 0.0605 0.2029 0.3204

0.5333 -0.2710 0.7028 0.1770 0.5638 0.4146 -0.3319 0.6439 -0.0492

0.9333 -0.1589 0.0594 -0.5808 0.8325 -0.4580 0.3639 -0.2001 0.0276

0.4000 -0.0981 0.8563 -0.1742 0.5883 0.6588 0.1104 0.2539 0.3643

0.0667 0.7897 -0.5449 0.7271 -0.2484 -0.5218 -0.1979 -0.3100 -0.2274

0.8000 -0.1963 0.5768 -0.5457 0.9807 -0.0058 -0.4156 0.2233 -0.1487

0.2667 0.2150 0.3383 0.1399 0.4500 0.7493 -0.2724 0.5304 -0.4894

0.7333 -0.0748 0.4289 0.2455 -0.0847 -0.0705 0.6031 0.1301 0.4220

0.7333 -0.0748 0.2017 -0.2147 0.5479 0.3092 0.4552 -0.2279 0.3581

0.9333 0.0514 0.3015 0.1822 -0.0471 -0.5836 0.5826 0.0684 0.0052

0.8000 -0.0561 -0.4735 0.2875 0.4871 -0.5932 0.4615 0.0754 0.4413

0.4000 0.3224 -0.5527 -0.1458 0.5336 0.0896 0.5595 -0.6011 0.1673

0.7333 0.3458 0.1557 -0.6975 0.4526 0.2569 -0.2028 0.1791 0.0708

0.1333 0.8785 -0.7608 0.6404 -0.3874 0.2241 0.0991 -0.1553 -0.0115

0.8000 -0.4766 0.1783 -0.3400 0.4481 -0.2515 0.4977 -0.4308 0.8078

0.2000 0.5467 0.3567 0.2941 0.1573 0.3867 0.0051 0.0394 -0.2420

1.0000 0.0701 -0.6008 0.1463 0.0113 0.3467 0.7371 0.1865 -0.4935

0.5333 0.1495 0.2781 -0.1378 0.7079 -0.1236 0.0888 0.2117 0.1030

0.8000 -0.1262 -0.4027 -0.3093 0.5469 -0.3800 0.2774 -0.5961 -0.0058

0.6667 -0.2336 0.0340 0.3026 0.1922 -0.3637 0.7093 -0.2311 0.3411

0.8000 -0.1963 0.3496 0.2408 0.0199 0.5007 0.5978 0.3690 -0.1439

0.6667 0.1869 0.1394 -0.1851 0.3776 0.4902 0.5439 -0.0285 -0.1577

0.1333 0.4579 0.0425 0.5535 -0.2013 0.1237 0.0253 0.2117 0.3896

0.8000 -0.3364 0.2640 0.6127 -0.0780 -0.1310 0.1613 0.4964 0.1267

0.0667 0.8598 -0.3128 -0.1662 0.0214 -0.1938 -0.2554 -0.5990 -0.1415

0.8667 -0.5981 0.4777 0.5003 -0.1404 0.0545 0.2623 0.8223 -0.2656

0.2000 0.8972 -0.7544 0.1858 -0.0711 0.4015 0.4548 -0.0394 -0.1686

0.8000 0.0841 0.2937 -0.2621 0.1657 0.6014 0.2854 0.1828 -0.3241

0.5333 0.5701 -0.6766 0.1098 0.4125 0.0788 0.2516 -0.6003 0.6128

0.4000 0.5327 0.1437 0.1352 0.2099 0.3148 -0.2546 0.4912 0.1827

0.3333 0.0234 0.7841 0.6925 -0.0229 0.7632 0.4133 0.5004 0.0472

0.2667 -0.1355 0.7679 0.8154 0.1862 -0.3686 -0.2795 0.3176 -0.0758

0.6000 -0.0421 0.0425 0.6704 -0.0869 -0.2572 0.3825 0.1406 0.0354

0.2667 0.5654 -0.3185 -0.1387 0.3792 -0.3976 -0.2754 -0.6182 0.3842

0.5333 0.0794 -0.2569 0.2198 0.3314 0.7316 0.5763 0.2291 -0.1250

1.0000 -0.2804 0.1316 -0.0450 0.5919 0.1218 0.1106 -0.0244 0.4253

0.6000 0.0981 0.5824 -0.0278 0.6243 -0.6873 -0.1727 0.2666 0.3182

0.6000 0.5888 -0.5945 -0.1914 0.0427 0.5883 0.5021 0.3320 0.1294

0.8667 0.2430 -0.2958 -0.5993 0.4296 -0.2608 -0.0275 0.1747 -0.1894

0.8000 -0.4766 0.4055 0.1203 0.3857 0.7115 0.5042 0.5868 0.0488

0.1333 0.2477 -0.1238 -0.1340 0.3912 0.3767 0.1138 0.0426 0.5894

0.4667 0.2710 -0.3241 0.0446 0.2812 -0.3030 0.2835 -0.2549 0.2238

1.0000 -0.3505 0.4296 -0.4933 0.6456 -0.2666 0.3791 0.1977 0.5784

1.0000 0.0701 -0.1465 -0.6474 0.6234 0.1293 0.5928 0.2874 0.1777

0.8667 -0.4579 0.5633 -0.4950 0.8112 0.1892 0.4825 0.0204 0.6995

0.4000 0.6729 -0.5280 -0.4462 0.7282 -0.2010 0.0869 -0.1725 0.1149

0.4000 0.3925 -0.3963 0.5996 -0.3878 -0.2982 0.5351 0.2598 0.4475

0.9333 0.1215 -0.3751 0.0193 -0.0345 0.1338 0.5799 -0.0961 -0.4116

0.2000 0.4766 -0.4055 -0.1203 0.1275 0.1681 0.3030 -0.2441 -0.0311

0.2667 -0.1355 0.8436 0.3454 0.0118 0.6735 -0.1215 0.2680 0.3109

0.2667 0.2150 0.6412 0.3639 0.2138 -0.0589 -0.0827 0.4734 0.1576

0.1333 0.5981 0.4310 -0.2177 0.5141 -0.5499 0.0347 -0.0553 0.6902

0.3333 0.2336 0.6476 -0.0127 0.6443 0.3061 -0.4514 0.1889 -0.3144

0.8667 -0.4579 0.7905 0.4327 0.3509 -0.1437 0.3785 0.5932 0.6554

0.8000 0.3645 0.1621 -0.3729 0.3147 0.3045 0.2434 0.5167 -0.4152

0.2000 0.3364 0.5690 0.0619 0.1128 -0.4516 -0.1764 -0.0184 0.8179

0.6000 -0.2523 0.4062 -0.1121 0.9462 -0.5928 0.3811 0.0614 0.4129

1.0000 -0.6308 0.1826 -0.1366 0.7933 -0.2330 0.1141 -0.1190 0.1136

0.4667 0.5514 -0.7587 0.5668 -0.4148 -0.0744 0.5825 -0.3802 -0.2629

1.0000 -0.6308 0.2583 0.0168 0.6774 0.1465 0.7687 0.0831 0.2340

0.6667 -0.3037 0.2562 0.1684 0.5340 -0.2878 0.2649 0.2993 -0.0000

0.0667 0.1589 0.3949 0.3325 -0.2189 0.5509 0.0625 0.3710 -0.1658

0.7333 -0.4953 0.6263 0.4118 -0.1657 0.1376 0.1303 0.7774 0.4678

0.2000 0.7570 -0.6886 0.0854 0.5098 0.5770 -0.0323 -0.2456 -0.3467

0.8667 -0.3178 0.5732 -0.2412 0.7988 0.4700 -0.2887 0.2444 -0.3999

0.7333 0.4159 -0.5966 -0.3126 0.2978 -0.1971 0.6570 -0.3274 0.2750

Columns 10 through 18

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

1.0000 0 0 0 0 0 0 0 0

0.2472 1.0000 0 0 0 0 0 0 0

0.2925 -0.0476 1.0000 0 0 0 0 0 0

-0.2506 0.0121 -0.2061 1.0000 0 0 0 0 0

0.0256 -0.0789 0.3730 0.5906 1.0000 0 0 0 0

0.5892 -0.4333 -0.1924 -0.2840 -0.0403 1.0000 0 0 0

0.3981 0.4888 0.7040 0.7215 -0.0730 0.8619 1.0000 0 0

-0.2920 -0.2251 0.5606 0.8138 -0.1486 0.3127 -0.0433 1.0000 0

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Columns 1 through 9

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Columns 46 through 54

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Columns 55 through 63

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9.7093 -0.8302 2.4111 6.4712 10.6739 -4.0934 -0.2346 11.6208 7.1437

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3.5765 -7.7610 -12.8575 -0.4585 -6.1374 -15.9900 -0.6915 -4.0079 -5.0168

-1.1503 9.7852 0.8720 -4.6362 -17.1454 -13.3388 9.1787 27.7976 17.0602

-3.7072 10.6120 9.4450 -0.9668 0.7911 -9.9495 20.0353 2.2037 8.8651

-4.9707 -8.5277 -14.1585 -0.5771 -11.5408 -0.6601 -16.0928 13.2095 4.7473

2.2549 -4.6997 0.4356 8.5230 -10.9015 7.7707 -4.7439 18.9851 2.6252

-0.0894 -2.0030 5.5944 -4.2133 21.7047 1.3337 -2.9165 -33.8379 -23.1883

-10.1631 -6.4845 -11.6425 7.0459 -1.8123 0.4476 10.1948 -11.3118 0.0319

4.5034 10.4389 0.5415 -18.8060 -7.1691 -20.5214 4.4112 -3.2004 -0.9141

-9.2524 2.3476 9.7030 5.2564 6.4221 11.0334 12.6757 1.8657 -3.7319

17.1967 -2.1963 -10.0682 -6.8935 -13.4317 -8.5395 -24.4776 3.9128 24.0752

0.4953 -7.4687 -2.9290 -6.6522 -0.5403 -7.5636 -7.4287 -6.1652 -15.3801

22.7082 -21.8170 -16.3309 5.7618 -24.9114 -14.3235 -33.0126 1.3560 11.0041

8.0888 8.2756 -0.9932 0.7733 -2.4238 1.2633 6.2286 9.6769 10.9089

-10.6132 6.2543 8.5833 2.3605 28.9062 16.8455 5.7841 -16.0912 -10.9469

-0.6334 7.8994 -7.0495 5.6756 -1.0149 -0.6036 4.3016 13.8742 2.0984

-10.1904 0.5990 3.0389 14.2627 1.9089 4.5994 6.9402 9.2262 4.9953

7.2444 -13.2300 0.5396 13.6652 -9.0220 5.7806 -5.3866 12.3931 10.3448

-9.1678 -4.7294 9.9937 16.3610 16.4153 12.1011 -4.0514 -8.7451 -8.6093

0.7566 3.9883 15.2657 11.9497 8.6568 16.0800 0.0441 -0.5104 -13.6407

3.5169 -0.2370 9.9666 20.0374 13.3877 28.4134 11.4433 -0.3001 -4.7905

21.5353 -2.1219 11.6224 8.6239 8.4845 4.5149 8.5883 -7.1666 -3.1223

5.3160 -2.5837 1.6073 -12.8110 12.8583 2.8369 4.8693 -13.4943 -19.1942

7.1901 1.0325 -2.5073 -5.2576 13.2864 9.1058 8.4831 -11.8585 -13.5771

14.3785 -0.8810 9.2595 2.5977 5.5011 -8.4377 17.2216 -9.8850 -9.5752

-11.9933 20.7218 8.4464 9.2825 15.0925 17.7963 4.2739 11.8949 -19.1603

-4.4581 23.9803 6.0464 20.1869 15.3762 -15.7022 4.8951 -9.1003 -5.7881

18.4118 5.2236 -4.0809 -10.2407 -10.5343 -11.7609 11.2678 5.6781 12.0072

24.9331 -0.0383 -12.9036 -15.0037 -22.9640 -40.5163 9.6983 8.2205 26.9494

0.1833 10.3033 -4.7211 15.0578 4.6028 11.7024 10.1474 -4.1840 1.1245

10.4996 4.9592 -14.7148 -19.6448 -5.6696 -27.7743 -6.8767 -9.7988 22.5722

-9.8668 -26.9239 -1.3334 -29.5337 -16.2619 -11.4873 -20.9089 -1.1119 -0.3723

18.4452 -15.8125 -13.6819 -5.5197 0.8592 0.6941 -10.9275 -1.4903 18.1493

-6.0168 -4.4452 2.3427 -35.0806 5.8967 -18.4073 1.6782 -5.5352 2.9781

-5.5777 3.5817 19.9949 -9.6051 -2.5306 14.0333 6.4844 15.6472 -20.2225

-6.6430 -3.0593 -8.9248 -18.2004 -4.9219 -18.1929 1.0245 -8.2575 12.8459

31.5166 -7.8842 4.0410 21.3327 2.9473 29.9316 -8.9905 14.5367 -19.9248

-10.5169 21.9376 1.9988 6.8070 4.3066 -7.7712 14.2510 6.2576 22.1361

-0.3191 1.7342 18.9711 -6.9261 -4.8009 1.9224 1.9413 18.4481 6.3755

-9.9379 -10.9318 -32.4104 1.9067 -6.4269 0.3129 3.8565 5.7188 5.0974

9.6293 -2.2913 -14.1506 -1.1881 7.0602 -5.6930 -4.8452 8.4792 1.8469

-8.9984 7.7553 -21.1028 -12.3302 1.1227 -5.3347 5.1950 -7.2990 9.4320

-10.0014 10.2031 5.5285 2.7570 2.2821 4.5135 17.3242 3.7135 -1.1328

19.2580 -20.2743 -12.0201 -11.8420 -10.3548 -7.8808 -3.7521 13.9355 8.8457

-23.6137 -1.6644 14.1035 21.5381 6.3843 3.2162 -18.8804 -11.8747 8.4326

-15.8978 -0.1301 10.8577 -10.5540 3.8027 8.0857 -2.1260 -17.0110 17.0643

18.2767 5.7617 13.7091 -23.8367 -6.7846 1.2600 15.1737 12.0110 3.8147

-53.0057 -16.0015 17.6298 7.7297 -1.1808 17.4951 -24.6630 0.9917 3.5200

0 30.3902 20.3719 -3.5999 19.0243 15.8665 25.2829 -15.5649 12.6246

0 0 -42.3519 14.2949 9.2372 -15.5754 -2.6764 -5.3419 8.9608

0 0 0 -47.3665 -9.4597 -21.0196 21.0153 18.3594 10.0648

0 0 0 0 27.8637 1.1154 8.1741 -19.9836 0.7818

0 0 0 0 0 -24.4484 4.8391 6.1351 -11.1402

0 0 0 0 0 0 23.6494 22.0609 18.2315

0 0 0 0 0 0 0 -34.0524 35.7585

0 0 0 0 0 0 0 0 -45.5559

0 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

Columns 73 through 81

9.0000 14.0000 11.0000 14.0000 13.0000 8.0000 11.0000 11.0000 8.0000

4.4000 1.0667 3.2667 5.0667 14.1333 8.4667 11.2667 1.2667 3.4667

2.8879 10.3364 -0.7196 -0.4019 2.4579 2.4206 10.8037 7.1495 7.0935

6.8004 2.1238 10.9154 -0.8719 0.5421 7.1936 -6.2693 4.0350 6.7622

9.0421 1.6387 1.2731 2.8231 -0.4744 6.9076 -5.4083 0.9550 5.6447

11.5421 -2.2860 7.3154 0.3700 -0.4675 7.4951 8.3788 6.3292 3.7700

-13.1761 -7.0586 0.2592 -7.8020 -4.2669 -1.2449 -2.1590 -7.6573 -8.2985

-2.0828 -5.1830 -5.8873 11.4734 5.7499 -6.6422 -1.7025 -3.7226 -6.2833

5.0264 3.4234 8.9805 5.1390 0.8736 -5.7783 -3.0479 -4.8682 -0.4172

5.8618 5.1366 -8.1575 -0.0674 -6.0811 -2.0748 -7.7485 10.8544 5.8774

-1.9292 2.6908 -2.3011 -2.7728 6.9090 3.9235 7.5180 -3.2116 -1.9934

0.8987 -1.2457 -3.5034 3.4967 0.0545 9.8350 15.9452 9.5037 -0.6596

-0.6676 4.0643 -6.4991 -9.5142 -7.4254 7.4542 9.1595 2.5392 11.9170

-1.2416 3.9675 -1.3313 7.1818 4.2884 -12.1329 -3.4340 -6.3762 -3.8992

-2.0896 -12.5126 -4.3262 -2.8754 -1.6874 5.8367 25.7149 1.2220 -1.8137

11.4453 2.8700 12.4249 6.9953 10.9195 -10.3578 -36.9205 -1.3235 2.9378

7.4236 14.7882 12.5745 10.2601 11.4307 -14.7436 -13.1844 12.7008 5.6230

-4.4206 -3.4232 -1.2718 7.6883 -4.7542 -6.9310 -1.2072 4.4854 -3.7220

15.3711 -7.8758 13.9764 2.5447 10.1698 1.1444 -27.4703 2.8038 -4.6066

5.0549 13.9591 4.0774 15.5561 16.8769 -7.2434 1.3772 10.9258 3.7038

-4.4752 -19.7397 -2.9145 5.4263 2.5930 -6.3047 -5.4962 2.1899 -18.6313

-0.8126 -15.7524 -9.4193 14.4989 21.4152 -4.1445 -5.6290 9.7203 -12.2928

-0.9106 11.5300 -6.1916 -4.1938 -9.6391 2.6704 35.3923 -7.6834 23.9729

-3.3275 -7.2819 6.3093 -12.7649 -17.7883 -1.7835 6.7933 -0.4311 -6.3332

3.6457 18.6322 3.5528 -2.3422 3.0419 4.6433 -5.3096 -7.1897 15.9839

9.9167 13.7825 11.4497 0.0990 -16.0306 -3.3339 0.6274 -9.0243 -7.7816

-7.3624 0.7325 0.0056 17.8958 9.3670 -6.4170 -18.7071 9.4163 -11.8580

4.6810 1.9576 4.8860 -20.4253 7.8517 10.4900 -3.6261 -18.6760 23.6084

-15.5731 -15.9785 -8.2848 7.8483 29.8022 -0.8795 -18.7111 5.5687 -9.5188

-25.3200 -10.6618 -12.7784 16.0902 6.2357 2.0851 3.9850 19.2562 -13.0993

3.0040 7.1246 1.8099 5.1994 -12.9464 8.2928 13.3413 7.6491 9.0006

1.7860 -22.2201 -1.6122 -2.6637 -7.7814 4.2784 -7.9396 -4.3508 -12.3411

20.5418 7.8404 30.5069 4.5461 -14.1206 -11.7403 -13.5814 -10.1511 -23.0473

5.4503 0.3873 29.0064 19.5449 -3.3974 -21.5938 -18.9293 10.6679 -30.4542

-11.8152 2.7235 8.2618 20.3921 -4.1592 1.7135 17.6112 17.3905 -11.5793

-24.7123 -9.1961 -2.6319 27.6181 -6.1335 1.0511 14.6703 22.3138 -14.2569

-10.6630 5.7995 19.5127 19.7334 -4.6690 -9.9377 -1.3351 10.7779 -26.0577

-15.8113 2.1450 4.8879 5.9592 15.9162 -0.6958 6.2410 22.0843 8.0839

-11.3570 -12.3584 5.9963 8.7977 -17.9784 10.2812 11.9853 -6.9727 2.9365

-13.8342 5.2703 3.9790 -0.9973 -3.2758 -3.3818 8.7374 21.1882 -2.7949

-2.4816 -10.4795 -14.5481 -10.4005 11.8240 16.8861 8.4795 -6.4936 31.0215

-6.8108 -6.1551 16.6688 15.0920 -27.1918 0.1470 21.2989 7.1686 -19.7247

-18.2574 -8.4822 11.6128 -3.1048 -3.0811 16.4876 23.0672 7.5403 3.6102

-1.0735 0.2772 0.4696 5.9501 1.0583 2.8717 12.2954 13.1622 12.8733

13.9824 11.0885 -35.7319 -30.6986 37.5548 -9.2024 -6.5251 9.7668 43.1528

-9.6318 3.5285 22.1495 3.0720 -6.7708 -6.4437 3.3204 11.9977 -22.1651

-20.2751 13.1564 7.2271 -13.3381 8.3817 1.4659 -29.3154 11.6538 16.0161

24.5432 8.2600 -30.5748 -24.5545 -3.4957 -14.2536 -24.2408 -26.0353 3.8639

0.6096 5.8774 11.3648 -0.3335 10.8330 10.2943 8.7558 25.8511 22.1273

-5.7880 -5.8034 4.7044 9.8221 -20.2968 -2.3472 8.4521 -7.6194 7.5514

5.2587 -31.8366 12.7831 25.7809 -29.8841 17.8214 21.3329 -11.3024 -1.3932

6.3541 20.1154 10.4215 -7.2283 -7.8921 -17.0709 -20.2501 8.0843 -21.9381

12.4962 -19.4842 -9.6487 -6.5689 32.8589 26.4708 15.2577 -3.6964 30.8836

-14.0845 13.4704 4.3370 17.4547 1.2671 -24.5908 -5.9233 8.0723 -7.0482

8.9671 -7.5357 4.0234 22.8985 -8.3287 0.6374 -12.5707 -7.5357 0.3419

23.3486 26.1197 -8.0668 -21.8093 3.1242 -20.2375 1.1319 18.4103 -18.3483

10.2169 19.3537 22.1936 -7.2486 10.3842 -2.0136 -4.4802 17.4641 19.2790

-0.6630 -2.6635 -10.1174 -6.8345 4.2578 -4.1798 17.6935 0.8750 17.2002

-11.0740 -14.1812 16.1031 9.6307 -21.4476 -2.3244 1.8960 13.1794 2.2273

30.9782 33.0139 -14.8014 -27.0687 30.0951 3.2784 -3.7820 -9.2603 6.6159

0.4100 11.4581 -21.8881 -6.4185 -10.7790 -6.1251 -9.6732 -4.3130 -14.2445

6.2989 19.1134 -23.4499 -4.3174 5.4724 7.5941 -19.3283 -18.5071 12.0487

-7.4378 -17.2906 3.7810 17.0816 -6.9052 9.2834 0.9126 -26.1485 27.0536

13.3396 26.2832 -24.1836 11.9345 -27.5752 -17.9691 -40.0722 15.8124 -63.9643

-14.1439 -17.0782 -6.4150 -1.1033 -3.2729 22.9640 7.6218 -22.5899 31.3622

-0.5068 12.5568 -5.5805 -19.5027 8.8940 -22.6287 9.2210 15.1065 -3.4830

14.0828 4.7763 22.1259 14.6435 -23.5004 -11.6567 -20.6018 -12.2452 8.7549

-3.9468 -2.2877 -8.2601 -27.2241 -4.1579 5.3743 13.7022 -16.4254 34.1552

-6.2393 -3.2404 34.5116 2.7635 -3.8543 1.8625 0.7320 17.2506 27.1527

9.4602 -12.8630 22.1642 6.5872 -15.0456 -9.4896 -10.0023 20.4383 28.1867

-26.0538 -5.5074 -30.1153 -13.5775 2.7880 -8.9484 -18.1431 -29.3669 -28.8520

20.7270 26.8978 -18.1542 -2.7766 15.5191 4.9650 4.4680 2.1622 5.3818

27.8292 10.3724 3.3462 -6.0963 -17.4718 -8.2712 -20.3049 2.9727 4.8154

0 -27.9834 42.5133 -4.0674 -36.4074 -1.5338 -13.2932 -9.0666 7.4498

0 0 53.8452 -2.8813 -28.4794 7.3641 13.0288 14.5549 50.9531

0 0 0 20.1456 9.6402 7.7329 -12.2654 -15.7309 -44.1824

0 0 0 0 29.7839 14.2048 25.2524 0.3488 23.6877

0 0 0 0 0 27.0180 6.0855 -10.8647 10.7798

0 0 0 0 0 0 -42.2345 2.6841 -9.5157

0 0 0 0 0 0 0 36.9393 31.3893

0 0 0 0 0 0 0 0 45.6985

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0

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0 0 0 0 0 0 0 0 0

Columns 82 through 90

14.0000 5.0000 9.0000 12.0000 5.0000 15.0000 7.0000 13.0000 5.0000

10.0667 12.6667 4.4000 8.2000 10.6667 0 13.5333 2.1333 3.6667

1.9252 0.4953 6.8879 11.3364 0.3645 6.0000 2.0187 10.6729 0.9065

6.7003 -2.5067 8.5952 -6.9275 7.0234 1.6921 -0.6783 4.7608 2.3273

5.2231 8.4914 8.9257 5.0815 17.3600 -0.0723 12.9468 -6.9432 11.3099

-0.2043 0.1464 5.0517 9.3861 1.6804 -0.6748 5.0078 11.4813 8.4065

-9.2730 9.3671 -1.5387 -1.6554 5.0838 -6.2774 -2.7432 -13.0230 1.9217

7.4817 4.7338 -5.2788 -4.6854 -0.1791 -2.6760 2.8283 -6.5658 -2.8901

7.4344 -3.5823 -0.8458 -8.3148 -8.8390 -2.3052 -1.6799 10.1598 0.7073

-0.2014 0.7153 10.0228 -0.2726 3.6128 3.8096 -0.8679 4.7945 6.1343

-5.2964 15.5322 2.7142 0.7430 17.4414 -4.7150 7.8578 -12.0393 1.4316

-3.5183 2.3622 0.7032 10.7819 2.7990 9.9734 2.0509 16.1480 2.8209

-4.3809 -10.7001 -6.0461 -9.8009 -4.4814 4.6972 -2.0085 10.4535 3.6290

-3.4660 11.9142 -4.5599 -0.0265 -2.0079 5.6879 -7.7795 -11.9247 1.9473

-2.6718 8.1235 -8.9670 -0.7029 8.2882 3.7623 10.2306 5.7137 4.6244

7.7260 -19.3778 10.2977 17.7546 -21.9350 -3.9707 -14.0736 -5.4044 -1.0864

1.6038 7.1368 22.3574 10.7360 -11.3960 -5.7855 -5.0677 3.3296 0.6083

6.3819 -3.4368 -1.2073 -0.0247 -2.4414 -1.7420 1.3044 3.0159 1.8973

5.8638 3.9352 28.2277 23.9303 -2.3508 -24.3803 -3.9056 -7.4608 -4.4000

8.6480 6.2895 8.5819 9.1520 9.8310 3.3240 18.8914 -6.7694 -5.9843

0.8163 8.9552 5.5715 1.4492 1.6895 6.9047 -13.2870 -10.9238 -6.4390

7.5806 9.7100 12.1510 -0.3998 0.7934 5.8479 -8.7338 -10.9293 -8.9781

-3.5036 -8.4978 -42.4303 -29.7449 -10.4426 20.2164 6.1179 15.8225 9.4168

-10.5700 -3.3880 -6.8997 2.0279 11.1373 -7.7814 18.2771 -2.0011 4.8249

8.4029 1.2363 10.1149 23.8626 -3.1157 -2.9404 5.4777 1.5449 0.9916

-2.8799 -10.2110 -1.8798 6.8956 16.8468 -0.1857 12.3960 2.8875 -3.9569

4.1247 15.7434 32.3038 3.0977 -6.0758 -2.4108 -31.0655 -12.1138 -4.8882

-11.6325 -8.0386 -19.4820 15.9872 -29.6237 -10.5662 8.3790 6.8413 8.2555

5.7895 24.9296 33.8927 0.2805 -7.8394 -10.9117 -34.0580 -14.5503 -7.6684

14.2893 2.9006 4.4267 -2.3874 15.1532 -0.0541 -3.4978 -2.9564 -13.9392

-6.9892 -12.8267 -35.6851 -21.7693 5.0609 4.4358 -1.0099 3.6505 -1.8257

0.5236 -5.6202 9.3226 13.3646 3.0165 -3.0594 -11.5831 2.4607 1.4184

-18.2558 -16.4163 9.7071 18.7138 -2.0905 8.2198 -5.2049 3.5085 1.2055

-6.0526 -2.1691 14.8336 3.9129 -1.2063 3.1850 -18.3874 -8.4952 -19.5761

-1.6140 -2.0110 -22.0706 -21.9670 14.7196 4.5479 -8.1358 -4.6974 -2.0442

7.4481 -14.9557 -20.1986 -24.2810 17.1646 16.7933 -13.5981 -2.9401 -20.0005

-8.0005 -6.1881 -25.9369 -27.6822 14.7396 3.7174 -6.7249 -3.7561 -22.0770

3.9364 -5.9804 -18.2683 -30.1346 -0.0097 8.9652 -13.0013 1.6025 -37.2754

-3.5140 -1.7490 -8.2498 -11.9354 -6.7927 0.7719 -4.5176 2.1878 -5.2805

-1.3972 -10.7547 -23.3420 -30.2499 0.9705 3.4923 -8.3878 1.0058 -24.5499

1.5675 -9.4828 -14.5479 -8.1392 -7.9311 9.8804 3.2723 14.8121 7.6086

2.6861 -15.1231 -28.0221 -22.9123 12.8682 -3.8138 4.0604 -4.6728 -5.5943

3.7653 1.7683 -25.5946 -31.4508 -5.3585 -6.1401 10.9546 8.2256 -6.0814

4.4578 -2.9885 15.1766 -6.6905 -3.1051 0.3624 -11.7883 3.4403 -3.9293

10.1103 -5.1087 29.6457 35.6180 -17.1621 -6.7637 14.4912 -4.3712 3.7305

-3.7697 0.0382 -15.6630 -25.9585 11.5446 -9.0468 -6.4891 -5.6985 -20.1415

-15.6939 -1.9390 16.3560 16.1020 -24.5094 -10.5622 -10.8486 17.7574 -14.3740

4.7355 7.8666 20.9278 41.8521 3.2500 -12.4613 26.7598 -25.0616 24.8983

-1.4669 7.3248 20.1111 -17.2388 -3.5730 9.3758 -27.1784 9.8203 -8.5304

6.6699 -3.3046 3.3991 -15.5391 8.7591 -7.9746 20.7856 -24.9325 5.9049

7.9457 -15.6592 -8.5752 -20.5200 13.0746 18.8620 12.3604 8.2686 18.7827

-4.2519 -8.4828 18.3735 19.0689 5.3873 -24.3927 -1.6401 -42.5354 -7.2025

2.9112 16.1870 -0.6688 -4.5619 -5.2763 16.9801 -4.6697 40.5404 -0.7768

-16.1721 -12.7839 -5.0737 16.1621 -20.8743 -12.5674 -7.6283 13.9143 -13.3548

-9.6768 -16.9923 4.0322 -15.8157 -18.5777 -5.5313 6.3672 11.8448 1.7502

17.8646 5.2106 -0.2263 21.4613 24.2222 -5.5236 1.8301 -37.2072 3.5392

-15.5527 -0.2683 12.4633 14.7128 -20.0482 -6.4473 1.7041 11.4744 -11.4583

9.0634 19.4315 2.5829 1.2287 11.0608 2.0189 -2.5526 3.0584 5.6038

-8.4325 -19.9222 -14.8551 -9.6896 -4.0827 0.5858 -12.4515 -3.3793 14.2604

12.9887 18.5652 -2.1313 29.8433 -0.8042 -9.1353 18.7565 -17.9976 1.7154

5.3106 -5.9140 -6.8327 3.1980 17.5082 8.0917 8.1492 -20.3129 2.0073

-13.4785 23.3533 11.8299 -5.2157 3.3958 -4.0769 5.5404 -0.4528 6.3466

-18.9032 -3.6986 8.1641 1.8388 -25.8020 1.3782 -7.7713 48.8424 -14.3131

11.6061 -10.4742 0.8872 20.0130 42.3911 -6.8486 30.6428 -66.6039 14.3252

-30.7809 -2.4652 -13.8291 -29.1308 -11.1452 11.8461 -17.4659 32.7499 18.2424

17.8850 4.8340 20.9103 10.1697 6.8956 8.9895 -24.2909 -5.0266 -17.8696

-22.1559 -41.4901 1.2374 11.2256 -2.5321 -25.6131 16.6725 -12.7903 15.9383

-18.6521 7.9426 5.5372 -28.2027 -30.9468 1.1546 -38.4762 25.1685 5.2296

-3.9866 -16.6266 -0.3294 -6.2577 -18.8730 -8.9930 8.0290 17.6891 9.3729

-20.6399 -26.0940 -0.4233 -8.7938 -20.5553 -32.8703 -4.4128 -4.4322 30.5150

-6.6238 15.2317 8.9138 -20.1868 6.3112 8.4836 -41.7079 9.7283 -14.2021

36.4724 -1.0320 0.7107 -1.3506 16.9424 19.9885 26.5560 -14.6109 -12.7026

-10.7193 -39.9753 2.6685 10.2997 18.1716 -3.8131 12.3628 -12.3781 -0.8645

-40.1316 -32.1169 3.0292 9.8564 -17.7483 -18.7535 -14.2954 30.0179 8.7131

-50.8540 -23.4338 8.5372 23.7335 -19.7919 -2.1381 1.9496 20.9760 -7.5797

3.4388 -24.5190 -22.7285 -21.6874 25.9664 9.3275 8.3620 -10.2792 8.6203

-17.2928 32.8634 2.7679 -24.3657 -14.8202 7.4816 4.1572 20.6219 12.0794

-38.2383 10.9941 -16.0504 -12.9651 1.1229 12.4005 20.2581 1.9936 28.9874

-3.4873 -37.5117 0.4285 -20.0107 11.8251 -2.8941 -4.8229 30.2176 -32.6466

5.1623 20.0440 17.6155 21.4482 -1.4652 -3.0294 0.1000 9.9187 -37.5090

-10.7514 -32.1340 -14.2158 -15.2517 -15.1226 11.0405 3.3342 38.5166 13.4405

42.7956 -40.3926 -22.9831 -0.9036 5.0192 24.7645 -11.2044 27.8925 -11.5248

0 -74.3947 -57.7092 -15.9399 12.3540 -10.8022 8.3157 10.7457 1.0827

0 0 -35.2181 -40.0314 -20.0754 -18.9331 12.4868 19.0511 27.1933

0 0 0 -27.4038 4.6808 -10.5889 8.5681 20.1149 19.7856

0 0 0 0 -22.1646 -0.6601 -21.6137 -28.0970 33.5425

0 0 0 0 0 54.3817 10.7618 13.7974 -52.0545

0 0 0 0 0 0 -24.2667 -2.9450 18.7409

0 0 0 0 0 0 0 -73.8969 60.5484

0 0 0 0 0 0 0 0 -38.6140

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

Columns 91 through 99

3.0000 2.0000 12.0000 12.0000 7.0000 7.0000 8.0000 14.0000 4.0000

8.8000 3.8667 14.2000 9.2000 14.5333 11.5333 5.4667 4.0667 9.7333

12.7757 9.7196 -1.2710 11.4019 4.0841 -0.1121 -0.7757 11.5327 10.5701

-4.2583 -2.3772 0.6493 -5.1925 -4.0460 4.9544 -0.3574 3.7774 3.6773

8.2789 7.5047 -1.6929 3.2322 11.1531 8.1805 0.3950 0.7209 16.9019

10.8322 0.7327 5.1371 7.3562 7.1541 4.5534 0.3994 -0.7361 1.2546

10.5890 0.4510 5.3857 2.8626 -4.2578 2.3121 9.8752 -8.7467 0.7323

-12.7495 5.2571 -1.8039 -12.5459 -1.3175 0.2373 -5.2437 -0.1740 1.5434

-17.0148 -2.0376 -1.8748 -7.4696 -0.4008 0.1666 -2.7004 6.7727 -2.3340

2.6242 7.8774 -5.7022 12.1572 7.9244 -1.6034 1.1988 10.7828 1.2090

22.9257 -2.5619 5.0644 16.1846 19.6816 -0.5601 1.5122 -17.7490 11.1822

13.5171 10.6124 -1.9284 -2.9663 -0.0837 -2.5781 1.4929 -6.3645 6.0623

-4.1876 1.9822 -11.8612 3.2818 5.3697 0.6766 -3.8070 6.9106 -9.4186

3.0800 -1.8080 -1.7834 -0.4109 -11.2228 -2.6966 0.5344 -7.3462 9.3181

9.0171 6.0711 10.0938 6.0629 6.2948 -1.3052 2.2087 -24.9381 -8.2516

-10.9762 -1.5108 -5.4487 -9.5945 -16.5247 3.5216 -14.1584 32.2282 14.6294

14.8099 3.7872 7.9751 12.2492 -11.5521 0.1487 4.2192 21.9221 4.6946

-13.6506 6.0802 -3.2169 -11.9970 -6.0050 -2.1980 -4.5062 11.1748 6.0758

14.8494 3.7699 21.0383 7.7074 -13.3362 3.3934 9.0597 12.1811 0.0252

8.4310 5.4665 1.4335 15.7195 11.7651 -7.5597 7.7269 20.9026 11.3074

-7.6685 -5.3771 11.3496 -20.8172 -25.7556 -9.8358 4.3758 -17.5534 -10.8167

6.4780 -4.7727 19.0026 -4.2536 -9.1502 -5.7622 2.6756 -13.1489 9.7323

-16.0078 -6.1000 -24.1216 -11.2212 7.3232 7.0277 -12.0467 9.0545 7.9425

-4.2641 7.3234 -3.8842 6.5268 14.2219 -0.2790 12.0947 4.0064 -12.8861

16.4743 20.0715 -7.9980 4.2030 2.8620 6.5734 -14.8955 15.8822 9.5573

-4.5081 2.2605 -7.7066 20.5049 18.1075 -13.3482 17.0476 6.6914 -12.2212

5.6860 -0.0975 9.3889 -7.9391 -22.0299 -2.9418 -2.1236 -8.8555 -2.0103

6.9150 2.5640 -5.8135 2.0862 9.4233 14.3052 -19.7720 9.8111 -0.2130

2.8079 -3.9081 17.8875 -19.8303 -33.1811 -7.1785 -4.5013 -15.7959 9.3785

1.7542 5.8863 5.9247 -7.9378 2.2010 2.9711 5.7105 -18.2344 9.6281

-11.7674 -2.2728 -7.4597 8.3192 22.8416 3.9137 11.8491 0.8121 1.5839

4.9326 1.4925 11.2490 -25.6775 -22.5492 -5.0750 -0.9098 -5.6173 -5.7115

-6.3620 -7.4410 7.0311 4.8975 -12.1861 -15.2128 23.7672 12.4074 -18.2904

-22.0478 -13.6065 11.4625 18.0392 0.4031 -10.6859 36.3841 1.7486 -21.7842

-21.9887 -5.5575 -3.5781 11.1505 4.4030 -9.8161 32.4979 -3.5068 -3.6986

-16.6506 4.2897 10.3046 17.8163 18.9940 -14.4372 33.1035 -9.1615 1.3374

-18.0852 -17.5765 -2.3544 15.6043 25.7568 -9.7364 32.0076 -15.4560 -9.2399

-12.4512 -13.7564 -4.8874 23.9561 25.6148 -7.9794 14.7736 6.1273 -5.9268

-6.4317 -3.3513 0.1599 -4.1421 5.3949 -1.6383 13.8094 -6.8724 -13.5710

-15.6282 -4.6457 -9.0391 12.4019 18.0296 11.9856 17.5531 -6.5861 -2.7001

-0.7049 -11.0651 -14.7748 -3.5632 10.0411 3.8210 -11.3791 4.6262 -12.7670

-10.3522 0.7862 -4.3017 1.0842 9.2994 -11.6264 21.0882 -13.5827 -5.9633

5.0068 2.1992 -10.1195 -18.2905 -10.6801 -13.7439 10.6566 -1.6928 -3.7850

16.8611 4.5188 -16.3643 -12.4471 -12.8997 -6.2990 -9.0218 17.4934 17.8109

27.4800 -0.1139 -20.2810 -16.1114 7.7917 2.3140 -50.4015 28.9242 25.5673

-6.8241 1.5072 -8.5665 18.2802 6.2840 0.4153 21.7362 -16.3587 -6.8757

20.4907 19.0846 -5.6455 -5.9251 -14.1087 25.5612 -7.3929 13.2052 23.6044

-2.1911 15.9031 16.3032 2.6354 23.9659 2.6503 -23.5200 6.6867 -2.9180

1.3852 -6.4131 -12.0746 15.6173 -28.1846 17.9980 8.1580 17.5000 14.1158

-14.4072 -10.0761 5.5281 -14.3763 11.3184 -3.8596 7.8677 11.9201 3.2626

-3.5358 10.5781 14.4947 -34.1434 -18.4711 -14.8021 14.8899 7.0971 5.6186

-1.7420 -5.9332 -2.6176 10.3853 35.1500 -15.1866 6.6303 -10.5089 -2.7220

14.1054 13.0932 -1.0401 -7.3286 -34.8113 7.8486 -16.9558 1.7421 -4.0422

9.0332 -14.0976 -15.3897 -12.0396 -0.2814 16.2040 1.1832 7.8993 25.6169

4.2760 2.3758 12.0304 -23.1343 -11.8988 -2.3025 11.6634 10.1406 16.6408

-28.6842 -7.2697 -12.8310 50.2166 34.5830 -8.8514 8.8583 -21.4040 -37.8642

4.0140 -9.3634 -27.6618 10.4925 9.6452 18.2151 -3.3136 25.0503 8.6056

-2.5661 3.0201 -0.8288 3.6241 -29.0672 6.9181 5.1796 1.4475 -25.3623

-3.4024 -5.0062 9.1291 -14.2821 -6.1765 9.3751 8.0843 -13.8557 1.0283

-6.8561 -14.2771 -9.6284 35.0598 25.5958 3.2582 -4.1954 -0.4707 5.3740

-7.2426 -5.3202 2.6563 7.7868 17.9961 -11.9143 -10.9143 -7.5740 12.3175

5.3315 11.0601 -6.9348 -2.1455 -7.7223 -0.9389 12.9405 -11.6533 9.1086

37.0678 14.8919 -0.7242 -42.3463 -50.9077 4.4634 -19.8839 31.4147 25.4570

-41.1420 18.1642 12.4320 29.4846 67.3512 -31.6948 14.8182 -32.5388 -7.6140

35.4533 -5.9559 14.0691 -42.8444 -46.1831 5.9802 -8.6092 -1.0500 20.8084

-5.4575 -15.4207 -25.5173 17.9633 8.1169 6.9054 -3.9956 2.3544 -38.1618

10.2321 7.1677 6.7961 -31.4133 9.8050 9.3392 8.1744 16.9536 10.4333

21.5777 -27.9648 -23.8236 -19.7101 -31.2112 15.7058 5.4211 2.9092 -4.4737

-7.6143 1.3833 -6.7154 -4.9203 -6.4396 13.9480 7.3496 20.2246 16.1329

2.9658 -19.2811 4.5655 -8.9827 6.7236 16.0327 32.1120 -12.6649 3.0809

31.3933 1.8399 8.2667 -9.8640 -18.0310 -6.8386 -15.1825 -26.1503 -23.7900

-29.8716 12.8888 -9.6658 5.3403 8.9322 -16.2149 -23.2468 26.8944 -12.9999

13.0502 17.3552 16.1990 2.6288 15.6830 -9.3835 -10.2712 15.2732 -5.4265

39.4507 30.0775 18.4994 -29.1084 -24.3945 15.1186 14.7904 -0.6387 6.9800

26.9088 -0.6981 -1.1301 7.7985 -25.3027 15.4258 9.5984 29.7302 21.4142

10.3194 13.1955 34.0673 -29.0190 -7.8530 -37.4040 -17.2130 -1.9622 -11.2628

-19.4640 -30.2480 -18.6316 9.9793 -18.8884 13.8150 18.9667 4.9363 6.6095

4.9098 -16.8720 14.0235 -13.0231 -16.3864 -12.4149 25.9907 -8.3122 10.9194

34.4330 38.6634 39.2738 -8.2785 -32.5791 -29.0782 -53.4261 26.3410 -17.1455

-14.6190 8.7513 -18.1118 47.6636 11.7167 13.5074 -15.4440 29.5631 19.2804

23.6060 -3.5423 27.3762 15.2299 -44.3767 4.8842 1.7552 15.5248 -11.2820

33.4662 18.2913 31.9047 15.0833 -33.9763 -20.2248 -49.1459 7.9462 -19.3707

33.2857 13.0644 54.7636 -6.4121 -33.0862 -26.1361 -28.9405 9.4311 -31.0874

16.6902 -7.2698 23.9141 -6.6566 -22.1517 -1.9413 46.9829 -22.1695 -44.1328

31.6733 1.3600 16.1616 -32.5210 -36.4740 -9.9909 21.5176 -10.0333 -36.8498

-18.5368 -37.5914 -7.0259 -5.0829 11.7119 26.8090 36.7417 -13.1178 21.4438

0.3784 0.5895 11.8078 53.1818 -3.9488 -31.9943 -65.9240 50.6134 27.8225

11.0415 -18.6012 10.9677 -4.5945 -15.8932 24.4832 15.6259 -26.1665 11.4962

-74.0623 -49.8875 -33.6708 -26.4016 53.0972 18.1689 39.3357 -25.9112 29.0269

16.4227 17.0707 3.6709 25.7278 -9.2330 6.8516 -17.6277 27.0021 2.7183

41.7026 2.7570 21.5394 -20.1593 -36.3995 18.7222 40.7170 -24.0099 -27.8650

0 28.8014 4.6506 5.5440 -15.0216 18.7298 1.0136 12.5519 -3.7616

0 0 43.0897 20.2681 -9.2861 26.0730 2.2125 -13.6493 -2.4920

0 0 0 32.3202 7.4755 53.7637 23.9713 -22.0648 -15.6119

0 0 0 0 -14.0329 8.6435 29.6665 -13.2443 -29.4413

0 0 0 0 0 43.1170 46.7873 -14.2923 -26.5976

0 0 0 0 0 0 62.7672 -13.4135 -52.1327

0 0 0 0 0 0 0 -21.1695 -0.7646

0 0 0 0 0 0 0 0 -10.2111

0 0 0 0 0 0 0 0 0

Column 100

14.0000

8.0667

2.7944

9.6791

2.5287

8.0187

-4.4660

-13.1100

-3.4827

9.1573

-0.4276

2.2950

2.9185

-16.1014

-6.9127

-8.9040

1.4580

-14.2215

5.5461

0.0568

-7.9980

-8.8759

-11.1228

5.8067

-1.5079

13.6264

-7.5086

-0.0150

-17.9247

-3.9174

7.3279

6.7488

15.8261

3.6306

8.3005

-4.4702

18.9565

-7.3444

4.5465

-0.2635

1.0089

8.0115

6.3975

-12.0975

-31.3538

2.9804

-6.0397

-12.5678

-6.1876

-12.3104

6.1695

-9.7649

8.0022

4.3232

6.6474

-9.4209

1.6474

3.9374

-2.1052

-5.1147

6.3219

18.2701

9.1340

9.6846

12.4850

-7.7449

4.7605

6.9764

10.5701

13.7556

0.3441

-9.3001

-15.7159

-2.2653

-16.7579

-7.1249

15.8163

-1.7435

3.2681

-2.9314

6.2793

-1.5650

-10.1607

22.8350

31.7880

-19.6969

-40.3446

-8.1744

2.4965

-29.0152

9.3309

-2.4069

-32.7441

-9.3077

29.4950

14.1944

37.0999

-15.7827

0.2674

-15.2679

LA MATRIZ "Y" DEL SISTEMA ES:

16.0000

95.9333

90.0093

-23.6557

65.4797

-13.5489

125.5712

-91.1777

-153.0632

19.8664

108.3962

-33.0515

-1.4694

28.7725

-39.7092

-84.5017

17.1481

-159.0803

33.2331

24.4563

-22.7056

27.5735

-66.3066

31.2079

-28.4651

47.0842

-4.7066

30.6732

9.9152

-107.4867

-11.0864

-64.5866

92.1633

98.0154

41.8410

-48.6950

114.4918

21.4266

60.8378

-13.2970

-96.3790

87.0907

10.7039

-63.2312

-227.2539

84.2511

-155.4646

0.5768

-41.0686

-3.3888

-34.5813

94.6988

39.8562

-130.2034

-52.7959

49.0687

32.3198

-37.6717

-3.0054

116.6401

16.1684

41.2782

0.1150

63.9859

7.0170

19.8491

-45.1652

134.8747

-187.8338

-60.2809

180.6529

119.2889

-29.5361

-6.7595

-178.6210

-53.8135

-67.3145

-2.0070

-22.3459

-140.2138

-210.9267

-252.3177

-351.4135

-141.5974

-70.3706

212.7952

-173.6856

177.8737

295.7215

36.7096

192.3807

148.6715

89.0308

353.8057

26.2074

344.6458

-38.0852

13.6580

-73.3659

120.5394

LA SOLUCIÓN DEL SISTEMA (X) es:

2.9025

-7.4942

-18.0983

-0.0565

-0.1366

-3.3054

8.9587

-7.3442

-15.4207

-1.9048

-0.8529

16.8473

7.9585

24.5668

-3.4465

1.3256

1.2929

17.0528

9.0756

12.3572

-2.6899

-7.5866

3.8293

-1.6406

-6.0387

9.5031

-8.7278

20.4567

4.2943

-0.9118

-9.8352

12.0585

-35.8035

17.5162

10.5005

3.8020

-8.3191

8.7514

-11.2186

-8.4958

-7.4837

-17.3318

-18.7125

11.3152

-3.1257

21.1805

4.8183

4.8372

-8.7050

-1.4261

11.4464

7.3585

-11.4244

7.4648

-19.8216

-3.7176

-0.7606

-11.9383

-6.0409

-15.2470

-2.0571

-16.2461

-5.2763

6.6042

-17.5584

1.3186

0.1193

15.7387

22.4110

25.4203

-2.0513

1.1967

-12.9607

3.8657

11.0801

-23.1913

12.4286

-8.3262

-23.0980

-8.0260

-9.3470

9.2913

0.6916

-4.4231

10.8087

15.3172

-2.8365

13.4608

8.9700

4.6095

-3.0984

-5.3575

-8.9691

2.2678

-11.8266

4.6992

10.9217

4.9888

6.9782

-7.8950

>>