SAS Output

Obs	animal	sire	dam	afa	afb	sfa	sfb	dfa	dfb	mgsfa	mgsfb	mgdfa	mgdfb	sex	bw	ww
1	1	0	0	1.00	0.00	1	0	1.0	0.0	1	0	1	0	1	33	289
2	2	0	0	0.00	1.00	0	1	0.0	1.0	0	1	0	1	2	29	245
3	3	0	2	0.50	0.50	1	0	0.0	1.0	0	1	0	1	2	32	256
4	4	1	0	0.50	0.50	1	0	0.0	1.0	0	1	0	1	2	30	261
5	5	1	2	0.50	0.50	1	0	0.0	1.0	0	1	0	1	1	38	292
6	6	1	3	0.75	0.25	1	0	0.5	0.5	1	0	0	1	1	35	286

MABM_21M_MTMAM_ALL MODELS_Example_November-05-2014_a November 5, 2014

ANIMAL BREEDING NOTES

CHAPTER 21M MTMAM ALL MODELS

MULTIPLE TRAIT MULTIBREED ANIMAL MODELS WITH:

1) UNEQUAL RESIDUAL, ADDITIVE GENETIC, AND NONADDITIVE GENETIC COVARIANCE MATRICES

2) EQUAL RESIDUAL COVARIANCE MATRIX, UNEQUAL ADDITIVE AND NONADDITIVE GENETIC COVARIANCE MATRICES

3) EQUAL RESIDUAL AND ADDITIVE GENETIC COVARIANCE MATRICES, UNEQUAL NONADDITIVE GENETIC COVARIANCE MATRICES

4) EQUAL RESIDUAL AND ADDITIVE GENETIC COVARIANCE MATRICES, NO RANDOM NONADDITIVE GENETIC EFFECTS

Mauricio A. Elzo, University of Florida, maelzo@ufl.edu

Read input dataset (SAS file)

OBS=     1  animal=   1.0000  sire=        0  dam=        0  afa=   1.0000  afb=        0  sfa=   1.0000  sfb=        0  dfa=   1.0000  dfb=        0 
mgsfa=   1.0000  mgsfb=        0  mgdfa=   1.0000  mgdfb=        0  sex=   1.0000  bw=  33.0000  ww= 289.0000                                         
OBS=     2  animal=   2.0000  sire=        0  dam=        0  afa=        0  afb=   1.0000  sfa=        0  sfb=   1.0000  dfa=        0  dfb=   1.0000 
mgsfa=        0  mgsfb=   1.0000  mgdfa=        0  mgdfb=   1.0000  sex=   2.0000  bw=  29.0000  ww= 245.0000                                         
OBS=     3  animal=   3.0000  sire=        0  dam=   2.0000  afa=   0.5000  afb=   0.5000  sfa=   1.0000  sfb=        0  dfa=        0  dfb=   1.0000 
mgsfa=        0  mgsfb=   1.0000  mgdfa=        0  mgdfb=   1.0000  sex=   2.0000  bw=  32.0000  ww= 256.0000                                         
OBS=     4  animal=   4.0000  sire=   1.0000  dam=        0  afa=   0.5000  afb=   0.5000  sfa=   1.0000  sfb=        0  dfa=        0  dfb=   1.0000 
mgsfa=        0  mgsfb=   1.0000  mgdfa=        0  mgdfb=   1.0000  sex=   2.0000  bw=  30.0000  ww= 261.0000                                         
OBS=     5  animal=   5.0000  sire=   1.0000  dam=   2.0000  afa=   0.5000  afb=   0.5000  sfa=   1.0000  sfb=        0  dfa=        0  dfb=   1.0000 
mgsfa=        0  mgsfb=   1.0000  mgdfa=        0  mgdfb=   1.0000  sex=   1.0000  bw=  38.0000  ww= 292.0000                                         
OBS=     6  animal=   6.0000  sire=   1.0000  dam=   3.0000  afa=   0.7500  afb=   0.2500  sfa=   1.0000  sfb=        0  dfa=   0.5000  dfb=   0.5000 
mgsfa=   1.0000  mgsfb=        0  mgdfa=        0  mgdfb=   1.0000  sex=   1.0000  bw=  35.0000  ww= 286.0000

datmat = matrix of input data

datmat
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16
ROW1	1	0	0	1	0	1	0	1	0	1	0	1	0	1	33	289
ROW2	2	0	0	0	1	0	1	0	1	0	1	0	1	2	29	245
ROW3	3	0	2	0.5	0.5	1	0	0	1	0	1	0	1	2	32	256
ROW4	4	1	0	0.5	0.5	1	0	0	1	0	1	0	1	2	30	261
ROW5	5	1	2	0.5	0.5	1	0	0	1	0	1	0	1	1	38	292
ROW6	6	1	3	0.75	0.25	1	0	0.5	0.5	1	0	0	1	1	35	286

Enter Parameters for Current Run

Enter restronsol = 1 to impose restrictions on solutions to solve the MME, else = 0 if not

restronsol
0

No restrictions imposed on solutions to solve MME

Enter nt = Number of traits

nt
2

Enter nrec = Number of records

nrec
6

Enter nanim = Number of animals

nanim
6

Enter nf = Number of fixed effects in the MME

nf
12

Enter nga = Number of random additive genetic effects in the MME

nga
12

ngn = Number of random nonadditive genetic effects in the MME

ngn
12

Compute neq = nf+nga+ngn = total number of MME

neq
36

Define pedigf = pedigree file with breed composition of animals, sires, and dams

pedigf
1	0	0	1	0	1	0	1	0	1	0	1	0
2	0	0	0	1	0	1	0	1	0	1	0	1
3	0	2	0.5	0.5	1	0	0	1	0	1	0	1
4	1	0	0.5	0.5	1	0	0	1	0	1	0	1
5	1	2	0.5	0.5	1	0	0	1	0	1	0	1
6	1	3	0.75	0.25	1	0	0.5	0.5	1	0	0	1

Construct xf = matrix of fixed and random effects

Construct fixed effects in matrix xf

xf
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	1	0	1	0	0	0	0	0	1	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
ROW2	0	1	0	1	0	0	0	0	0	1	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
ROW3	1	0	0	0	1	0	0	0	0	0	1	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
ROW4	0	1	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW5	1	0	0.5	0	0.5	0	1	0	0	0	1	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
ROW6	0	1	0	0.5	0	0.5	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW7	1	0	0.5	0	0.5	0	1	0	0	0	1	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
ROW8	0	1	0	0.5	0	0.5	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW9	1	0	0.5	0	0.5	0	1	0	1	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
ROW10	0	1	0	0.5	0	0.5	0	1	0	1	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
ROW11	1	0	0.75	0	0.25	0	0.5	0	1	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
ROW12	0	1	0	0.75	0	0.25	0	0.5	0	1	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

Construct random additive genetic effects in matrix xf

xf
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	1	0	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW2	0	1	0	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW3	1	0	0	0	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW4	0	1	0	0	0	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW5	1	0	0.5	0	0.5	0	1	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW6	0	1	0	0.5	0	0.5	0	1	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW7	1	0	0.5	0	0.5	0	1	0	0	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW8	0	1	0	0.5	0	0.5	0	1	0	0	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW9	1	0	0.5	0	0.5	0	1	0	1	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW10	0	1	0	0.5	0	0.5	0	1	0	1	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW11	1	0	0.75	0	0.25	0	0.5	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW12	0	1	0	0.75	0	0.25	0	0.5	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0

Construct random nonadditive genetic effects in matrix xf

xf
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	1	0	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW2	0	1	0	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW3	1	0	0	0	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW4	0	1	0	0	0	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW5	1	0	0.5	0	0.5	0	1	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0
ROW6	0	1	0	0.5	0	0.5	0	1	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0
ROW7	1	0	0.5	0	0.5	0	1	0	0	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0
ROW8	0	1	0	0.5	0	0.5	0	1	0	0	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0
ROW9	1	0	0.5	0	0.5	0	1	0	1	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	1	0	1	0	0	0	0	0	0	0	0	0
ROW10	0	1	0	0.5	0	0.5	0	1	0	1	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	1	0	1	0	0	0	0	0	0	0	0
ROW11	1	0	0.75	0	0.25	0	0.5	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0.5	0	0	0	0.5	0	0	0	0	0	0	0
ROW12	0	1	0	0.75	0	0.25	0	0.5	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0.5	0	0	0	0.5	0	0	0	0	0	0

Make x = xf, i.e., use computed xf

x
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	1	0	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW2	0	1	0	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW3	1	0	0	0	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW4	0	1	0	0	0	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW5	1	0	0.5	0	0.5	0	1	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0
ROW6	0	1	0	0.5	0	0.5	0	1	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0
ROW7	1	0	0.5	0	0.5	0	1	0	0	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0
ROW8	0	1	0	0.5	0	0.5	0	1	0	0	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0
ROW9	1	0	0.5	0	0.5	0	1	0	1	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	1	0	1	0	0	0	0	0	0	0	0	0
ROW10	0	1	0	0.5	0	0.5	0	1	0	1	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	1	0	1	0	0	0	0	0	0	0	0
ROW11	1	0	0.75	0	0.25	0	0.5	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0.5	0	0	0	0.5	0	0	0	0	0	0	0
ROW12	0	1	0	0.75	0	0.25	0	0.5	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0.5	0	0	0	0.5	0	0	0	0	0	0

Enter intrabreed and interbreed environmental variances

veaa		vebb		veab
12	10	8	6	16	14
10	49	6	16	14	25

Compute vef = block-diagonal matrix of multibreed residual covariance matrices for individual animals

pedigf
1	0	0	1	0	1	0	1	0	1	0	1	0
2	0	0	0	1	0	1	0	1	0	1	0	1
3	0	2	0.5	0.5	1	0	0	1	0	1	0	1
4	1	0	0.5	0.5	1	0	0	1	0	1	0	1
5	1	2	0.5	0.5	1	0	0	1	0	1	0	1
6	1	3	0.75	0.25	1	0	0.5	0.5	1	0	0	1

vef
12	10	0	0	0	0	0	0	0	0	0	0
10	49	0	0	0	0	0	0	0	0	0	0
0	0	8	6	0	0	0	0	0	0	0	0
0	0	6	16	0	0	0	0	0	0	0	0
0	0	0	0	10	8	0	0	0	0	0	0
0	0	0	0	8	32.5	0	0	0	0	0	0
0	0	0	0	0	0	10	8	0	0	0	0
0	0	0	0	0	0	8	32.5	0	0	0	0
0	0	0	0	0	0	0	0	10	8	0	0
0	0	0	0	0	0	0	0	8	32.5	0	0
0	0	0	0	0	0	0	0	0	0	15	12.5
0	0	0	0	0	0	0	0	0	0	12.5	47

Make r = vef

r = block-diagonal matrix of residual covariance matrices for individual animals

r
12	10	0	0	0	0	0	0	0	0	0	0
10	49	0	0	0	0	0	0	0	0	0	0
0	0	8	6	0	0	0	0	0	0	0	0
0	0	6	16	0	0	0	0	0	0	0	0
0	0	0	0	10	8	0	0	0	0	0	0
0	0	0	0	8	32.5	0	0	0	0	0	0
0	0	0	0	0	0	10	8	0	0	0	0
0	0	0	0	0	0	8	32.5	0	0	0	0
0	0	0	0	0	0	0	0	10	8	0	0
0	0	0	0	0	0	0	0	8	32.5	0	0
0	0	0	0	0	0	0	0	0	0	15	12.5
0	0	0	0	0	0	0	0	0	0	12.5	47

invr = inverse of block-diagonal matrix of residual covariance matrices for individual animals

invr
0.1004098	-0.020492	0	0	0	0	0	0	0	0	0	0
-0.020492	0.0245902	0	0	0	0	0	0	0	0	0	0
0	0	0.173913	-0.065217	0	0	0	0	0	0	0	0
0	0	-0.065217	0.0869565	0	0	0	0	0	0	0	0
0	0	0	0	0.1245211	-0.030651	0	0	0	0	0	0
0	0	0	0	-0.030651	0.0383142	0	0	0	0	0	0
0	0	0	0	0	0	0.1245211	-0.030651	0	0	0	0
0	0	0	0	0	0	-0.030651	0.0383142	0	0	0	0
0	0	0	0	0	0	0	0	0.1245211	-0.030651	0	0
0	0	0	0	0	0	0	0	-0.030651	0.0383142	0	0
0	0	0	0	0	0	0	0	0	0	0.0856492	-0.022779
0	0	0	0	0	0	0	0	0	0	-0.022779	0.0273349

Read yf = vector of records

yf
33
289
29
245
32
256
30
261
38
292
35
286

Make y = yf, i.e., use read yf

y
33
289
29
245
32
256
30
261
38
292
35
286

Compute xtinvr = x transpose times r

xtinvr
0.1004098	-0.020492	0.173913	-0.065217	0.1245211	-0.030651	0.1245211	-0.030651	0.1245211	-0.030651	0.0856492	-0.022779
-0.020492	0.0245902	-0.065217	0.0869565	-0.030651	0.0383142	-0.030651	0.0383142	-0.030651	0.0383142	-0.022779	0.0273349
0.1004098	-0.020492	0	0	0.0622605	-0.015326	0.0622605	-0.015326	0.0622605	-0.015326	0.0642369	-0.017084
-0.020492	0.0245902	0	0	-0.015326	0.0191571	-0.015326	0.0191571	-0.015326	0.0191571	-0.017084	0.0205011
0	0	0.173913	-0.065217	0.0622605	-0.015326	0.0622605	-0.015326	0.0622605	-0.015326	0.0214123	-0.005695
0	0	-0.065217	0.0869565	-0.015326	0.0191571	-0.015326	0.0191571	-0.015326	0.0191571	-0.005695	0.0068337
0	0	0	0	0.1245211	-0.030651	0.1245211	-0.030651	0.1245211	-0.030651	0.0428246	-0.01139
0	0	0	0	-0.030651	0.0383142	-0.030651	0.0383142	-0.030651	0.0383142	-0.01139	0.0136674
0.1004098	-0.020492	0	0	0	0	0	0	0.1245211	-0.030651	0.0856492	-0.022779
-0.020492	0.0245902	0	0	0	0	0	0	-0.030651	0.0383142	-0.022779	0.0273349
0	0	0.173913	-0.065217	0.1245211	-0.030651	0.1245211	-0.030651	0	0	0	0
0	0	-0.065217	0.0869565	-0.030651	0.0383142	-0.030651	0.0383142	0	0	0	0
0.1004098	-0.020492	0	0	0	0	0	0	0	0	0	0
-0.020492	0.0245902	0	0	0	0	0	0	0	0	0	0
0	0	0.173913	-0.065217	0	0	0	0	0	0	0	0
0	0	-0.065217	0.0869565	0	0	0	0	0	0	0	0
0	0	0	0	0.1245211	-0.030651	0	0	0	0	0	0
0	0	0	0	-0.030651	0.0383142	0	0	0	0	0	0
0	0	0	0	0	0	0.1245211	-0.030651	0	0	0	0
0	0	0	0	0	0	-0.030651	0.0383142	0	0	0	0
0	0	0	0	0	0	0	0	0.1245211	-0.030651	0	0
0	0	0	0	0	0	0	0	-0.030651	0.0383142	0	0
0	0	0	0	0	0	0	0	0	0	0.0856492	-0.022779
0	0	0	0	0	0	0	0	0	0	-0.022779	0.0273349
0	0	0	0	0	0	0.1245211	-0.030651	0.1245211	-0.030651	0.0428246	-0.01139
0	0	0	0	0	0	-0.030651	0.0383142	-0.030651	0.0383142	-0.01139	0.0136674
0	0	0	0	0.1245211	-0.030651	0	0	0.1245211	-0.030651	0	0
0	0	0	0	-0.030651	0.0383142	0	0	-0.030651	0.0383142	0	0
0	0	0	0	0	0	0	0	0	0	0.0428246	-0.01139
0	0	0	0	0	0	0	0	0	0	-0.01139	0.0136674
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

Compute xtinvrx = x transpose times r times x

xtinvrx
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	0.7335353	-0.200442	0.3514283	-0.083553	0.382107	-0.116889	0.4163878	-0.103344	0.3105801	-0.073922	0.4229552	-0.12652	0.1004098	-0.020492	0.173913	-0.065217	0.1245211	-0.030651	0.1245211	-0.030651	0.1245211	-0.030651	0.0856492	-0.022779	0.2918667	-0.072692	0.2490421	-0.061303	0.0428246	-0.01139	0	0	0	0	0	0
ROW2	-0.200442	0.2538241	-0.083553	0.1025626	-0.116889	0.1512615	-0.103344	0.12861	-0.073922	0.0902392	-0.12652	0.1635849	-0.020492	0.0245902	-0.065217	0.0869565	-0.030651	0.0383142	-0.030651	0.0383142	-0.030651	0.0383142	-0.022779	0.0273349	-0.072692	0.0902958	-0.061303	0.0766284	-0.01139	0.0136674	0	0	0	0	0	0
ROW3	0.3514283	-0.083553	0.2419783	-0.056294	0.10945	-0.02726	0.2189001	-0.054519	0.2269073	-0.052902	0.1245211	-0.030651	0.1004098	-0.020492	0	0	0.0622605	-0.015326	0.0622605	-0.015326	0.0622605	-0.015326	0.0642369	-0.017084	0.1566395	-0.039193	0.1245211	-0.030651	0.0321185	-0.008542	0	0	0	0	0	0
ROW4	-0.083553	0.1025626	-0.056294	0.0687017	-0.02726	0.0338609	-0.054519	0.0677218	-0.052902	0.0642484	-0.030651	0.0383142	-0.020492	0.0245902	0	0	-0.015326	0.0191571	-0.015326	0.0191571	-0.015326	0.0191571	-0.017084	0.0205011	-0.039193	0.0485647	-0.030651	0.0383142	-0.008542	0.0102506	0	0	0	0	0	0
ROW5	0.382107	-0.116889	0.10945	-0.02726	0.2726569	-0.08963	0.1974878	-0.048824	0.0836728	-0.02102	0.2984341	-0.095869	0	0	0.173913	-0.065217	0.0622605	-0.015326	0.0622605	-0.015326	0.0622605	-0.015326	0.0214123	-0.005695	0.1352272	-0.033499	0.1245211	-0.030651	0.0107062	-0.002847	0	0	0	0	0	0
ROW6	-0.116889	0.1512615	-0.02726	0.0338609	-0.08963	0.1174006	-0.048824	0.0608881	-0.02102	0.0259908	-0.095869	0.1252707	0	0	-0.065217	0.0869565	-0.015326	0.0191571	-0.015326	0.0191571	-0.015326	0.0191571	-0.005695	0.0068337	-0.033499	0.041731	-0.030651	0.0383142	-0.002847	0.0034169	0	0	0	0	0	0
ROW7	0.4163878	-0.103344	0.2189001	-0.054519	0.1974878	-0.048824	0.3949755	-0.097649	0.1673457	-0.042041	0.2490421	-0.061303	0	0	0	0	0.1245211	-0.030651	0.1245211	-0.030651	0.1245211	-0.030651	0.0428246	-0.01139	0.2704544	-0.066997	0.2490421	-0.061303	0.0214123	-0.005695	0	0	0	0	0	0
ROW8	-0.103344	0.12861	-0.054519	0.0677218	-0.048824	0.0608881	-0.097649	0.1217762	-0.042041	0.0519816	-0.061303	0.0766284	0	0	0	0	-0.030651	0.0383142	-0.030651	0.0383142	-0.030651	0.0383142	-0.01139	0.0136674	-0.066997	0.0834621	-0.061303	0.0766284	-0.005695	0.0068337	0	0	0	0	0	0
ROW9	0.3105801	-0.073922	0.2269073	-0.052902	0.0836728	-0.02102	0.1673457	-0.042041	0.3105801	-0.073922	0	0	0.1004098	-0.020492	0	0	0	0	0	0	0.1245211	-0.030651	0.0856492	-0.022779	0.1673457	-0.042041	0.1245211	-0.030651	0.0428246	-0.01139	0	0	0	0	0	0
ROW10	-0.073922	0.0902392	-0.052902	0.0642484	-0.02102	0.0259908	-0.042041	0.0519816	-0.073922	0.0902392	0	0	-0.020492	0.0245902	0	0	0	0	0	0	-0.030651	0.0383142	-0.022779	0.0273349	-0.042041	0.0519816	-0.030651	0.0383142	-0.01139	0.0136674	0	0	0	0	0	0
ROW11	0.4229552	-0.12652	0.1245211	-0.030651	0.2984341	-0.095869	0.2490421	-0.061303	0	0	0.4229552	-0.12652	0	0	0.173913	-0.065217	0.1245211	-0.030651	0.1245211	-0.030651	0	0	0	0	0.1245211	-0.030651	0.1245211	-0.030651	0	0	0	0	0	0	0	0
ROW12	-0.12652	0.1635849	-0.030651	0.0383142	-0.095869	0.1252707	-0.061303	0.0766284	0	0	-0.12652	0.1635849	0	0	-0.065217	0.0869565	-0.030651	0.0383142	-0.030651	0.0383142	0	0	0	0	-0.030651	0.0383142	-0.030651	0.0383142	0	0	0	0	0	0	0	0
ROW13	0.1004098	-0.020492	0.1004098	-0.020492	0	0	0	0	0.1004098	-0.020492	0	0	0.1004098	-0.020492	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW14	-0.020492	0.0245902	-0.020492	0.0245902	0	0	0	0	-0.020492	0.0245902	0	0	-0.020492	0.0245902	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW15	0.173913	-0.065217	0	0	0.173913	-0.065217	0	0	0	0	0.173913	-0.065217	0	0	0.173913	-0.065217	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW16	-0.065217	0.0869565	0	0	-0.065217	0.0869565	0	0	0	0	-0.065217	0.0869565	0	0	-0.065217	0.0869565	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW17	0.1245211	-0.030651	0.0622605	-0.015326	0.0622605	-0.015326	0.1245211	-0.030651	0	0	0.1245211	-0.030651	0	0	0	0	0.1245211	-0.030651	0	0	0	0	0	0	0	0	0.1245211	-0.030651	0	0	0	0	0	0	0	0
ROW18	-0.030651	0.0383142	-0.015326	0.0191571	-0.015326	0.0191571	-0.030651	0.0383142	0	0	-0.030651	0.0383142	0	0	0	0	-0.030651	0.0383142	0	0	0	0	0	0	0	0	-0.030651	0.0383142	0	0	0	0	0	0	0	0
ROW19	0.1245211	-0.030651	0.0622605	-0.015326	0.0622605	-0.015326	0.1245211	-0.030651	0	0	0.1245211	-0.030651	0	0	0	0	0	0	0.1245211	-0.030651	0	0	0	0	0.1245211	-0.030651	0	0	0	0	0	0	0	0	0	0
ROW20	-0.030651	0.0383142	-0.015326	0.0191571	-0.015326	0.0191571	-0.030651	0.0383142	0	0	-0.030651	0.0383142	0	0	0	0	0	0	-0.030651	0.0383142	0	0	0	0	-0.030651	0.0383142	0	0	0	0	0	0	0	0	0	0
ROW21	0.1245211	-0.030651	0.0622605	-0.015326	0.0622605	-0.015326	0.1245211	-0.030651	0.1245211	-0.030651	0	0	0	0	0	0	0	0	0	0	0.1245211	-0.030651	0	0	0.1245211	-0.030651	0.1245211	-0.030651	0	0	0	0	0	0	0	0
ROW22	-0.030651	0.0383142	-0.015326	0.0191571	-0.015326	0.0191571	-0.030651	0.0383142	-0.030651	0.0383142	0	0	0	0	0	0	0	0	0	0	-0.030651	0.0383142	0	0	-0.030651	0.0383142	-0.030651	0.0383142	0	0	0	0	0	0	0	0
ROW23	0.0856492	-0.022779	0.0642369	-0.017084	0.0214123	-0.005695	0.0428246	-0.01139	0.0856492	-0.022779	0	0	0	0	0	0	0	0	0	0	0	0	0.0856492	-0.022779	0.0428246	-0.01139	0	0	0.0428246	-0.01139	0	0	0	0	0	0
ROW24	-0.022779	0.0273349	-0.017084	0.0205011	-0.005695	0.0068337	-0.01139	0.0136674	-0.022779	0.0273349	0	0	0	0	0	0	0	0	0	0	0	0	-0.022779	0.0273349	-0.01139	0.0136674	0	0	-0.01139	0.0136674	0	0	0	0	0	0
ROW25	0.2918667	-0.072692	0.1566395	-0.039193	0.1352272	-0.033499	0.2704544	-0.066997	0.1673457	-0.042041	0.1245211	-0.030651	0	0	0	0	0	0	0.1245211	-0.030651	0.1245211	-0.030651	0.0428246	-0.01139	0.2704544	-0.066997	0.1245211	-0.030651	0.0214123	-0.005695	0	0	0	0	0	0
ROW26	-0.072692	0.0902958	-0.039193	0.0485647	-0.033499	0.041731	-0.066997	0.0834621	-0.042041	0.0519816	-0.030651	0.0383142	0	0	0	0	0	0	-0.030651	0.0383142	-0.030651	0.0383142	-0.01139	0.0136674	-0.066997	0.0834621	-0.030651	0.0383142	-0.005695	0.0068337	0	0	0	0	0	0
ROW27	0.2490421	-0.061303	0.1245211	-0.030651	0.1245211	-0.030651	0.2490421	-0.061303	0.1245211	-0.030651	0.1245211	-0.030651	0	0	0	0	0.1245211	-0.030651	0	0	0.1245211	-0.030651	0	0	0.1245211	-0.030651	0.2490421	-0.061303	0	0	0	0	0	0	0	0
ROW28	-0.061303	0.0766284	-0.030651	0.0383142	-0.030651	0.0383142	-0.061303	0.0766284	-0.030651	0.0383142	-0.030651	0.0383142	0	0	0	0	-0.030651	0.0383142	0	0	-0.030651	0.0383142	0	0	-0.030651	0.0383142	-0.061303	0.0766284	0	0	0	0	0	0	0	0
ROW29	0.0428246	-0.01139	0.0321185	-0.008542	0.0107062	-0.002847	0.0214123	-0.005695	0.0428246	-0.01139	0	0	0	0	0	0	0	0	0	0	0	0	0.0428246	-0.01139	0.0214123	-0.005695	0	0	0.0214123	-0.005695	0	0	0	0	0	0
ROW30	-0.01139	0.0136674	-0.008542	0.0102506	-0.002847	0.0034169	-0.005695	0.0068337	-0.01139	0.0136674	0	0	0	0	0	0	0	0	0	0	0	0	-0.01139	0.0136674	-0.005695	0.0068337	0	0	-0.005695	0.0068337	0	0	0	0	0	0
ROW31	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
ROW32	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
ROW33	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
ROW34	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
ROW35	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
ROW36	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

Enter intrabreed and interbreed additive genetic covariance matrices

vaaa		vabb		vaab
12	10	9	12	4	1
10	36	12	44	1	22

Compute vaf = multibreed additive genetic covariance matrices for individual animals

vaf
12	10	0	0	0	0	0	0	0	0	0	0
10	36	0	0	0	0	0	0	0	0	0	0
0	0	9	12	0	0	0	0	0	0	0	0
0	0	12	44	0	0	0	0	0	0	0	0
0	0	0	0	10.5	11	0	0	0	0	0	0
0	0	0	0	11	40	0	0	0	0	0	0
0	0	0	0	0	0	10.5	11	0	0	0	0
0	0	0	0	0	0	11	40	0	0	0	0
0	0	0	0	0	0	0	0	10.5	11	0	0
0	0	0	0	0	0	0	0	11	40	0	0
0	0	0	0	0	0	0	0	0	0	12.25	10.75
0	0	0	0	0	0	0	0	0	0	10.75	43.5

Compute daf = block-diagonal matrix of residual additive genetic covariance matrices

Recall: (Ga)-1 = (I - 1/2 P') (Block-diagonal Da)-1 (I - 1/2 P) for [dai]-1 blocks

daf
12	10	0	0	0	0	0	0	0	0	0	0
10	36	0	0	0	0	0	0	0	0	0	0
0	0	9	12	0	0	0	0	0	0	0	0
0	0	12	44	0	0	0	0	0	0	0	0
0	0	0	0	8.25	8	0	0	0	0	0	0
0	0	0	0	8	29	0	0	0	0	0	0
0	0	0	0	0	0	7.5	8.5	0	0	0	0
0	0	0	0	0	0	8.5	31	0	0	0	0
0	0	0	0	0	0	0	0	5.25	5.5	0	0
0	0	0	0	0	0	0	0	5.5	20	0	0
0	0	0	0	0	0	0	0	0	0	6.625	5.5
0	0	0	0	0	0	0	0	0	0	5.5	24.5

Make da = daf, i.e., use computed da

Compute dainv = inverse of da

dainv = inverse of block-diagonal matrix of residual additive genetic covariance matrices

dainv
0.1084337	-0.03012	0	0	0	0	0	0	0	0	0	0
-0.03012	0.0361446	0	0	0	0	0	0	0	0	0	0
0	0	0.1746032	-0.047619	0	0	0	0	0	0	0	0
0	0	-0.047619	0.0357143	0	0	0	0	0	0	0	0
0	0	0	0	0.1654779	-0.045649	0	0	0	0	0	0
0	0	0	0	-0.045649	0.0470756	0	0	0	0	0	0
0	0	0	0	0	0	0.1934477	-0.053042	0	0	0	0
0	0	0	0	0	0	-0.053042	0.0468019	0	0	0	0
0	0	0	0	0	0	0	0	0.2675585	-0.073579	0	0
0	0	0	0	0	0	0	0	-0.073579	0.0702341	0	0
0	0	0	0	0	0	0	0	0	0	0.1855182	-0.041647
0	0	0	0	0	0	0	0	0	0	-0.041647	0.0501656

Compute gainv = inverse of the matrix of multibreed additive genetic covariances

Using algorithm to compute gainv directly; Elzo (1990a),JAS 68:1215-1228

gainv
0.2700649	-0.072187	0.0668896	-0.018395	0.0463796	-0.010412	-0.096724	0.0265211	-0.133779	0.0367893	-0.092759	0.0208235
-0.072187	0.077945	-0.018395	0.0175585	-0.010412	0.0125414	0.0265211	-0.023401	0.0367893	-0.035117	0.0208235	-0.025083
0.0668896	-0.018395	0.2828623	-0.077426	-0.082739	0.0228245	0	0	-0.133779	0.0367893	0	0
-0.018395	0.0175585	-0.077426	0.0650417	0.0228245	-0.023538	0	0	0.0367893	-0.035117	0	0
0.0463796	-0.010412	-0.082739	0.0228245	0.2118574	-0.056061	0	0	0	0	-0.092759	0.0208235
-0.010412	0.0125414	0.0228245	-0.023538	-0.056061	0.059617	0	0	0	0	0.0208235	-0.025083
-0.096724	0.0265211	0	0	0	0	0.1934477	-0.053042	0	0	0	0
0.0265211	-0.023401	0	0	0	0	-0.053042	0.0468019	0	0	0	0
-0.133779	0.0367893	-0.133779	0.0367893	0	0	0	0	0.2675585	-0.073579	0	0
0.0367893	-0.035117	0.0367893	-0.035117	0	0	0	0	-0.073579	0.0702341	0	0
-0.092759	0.0208235	0	0	-0.092759	0.0208235	0	0	0	0	0.1855182	-0.041647
0.0208235	-0.025083	0	0	0.0208235	-0.025083	0	0	0	0	-0.041647	0.0501656

gainv
0.270	-0.072	0.067	-0.018	0.046	-0.010	-0.097	0.027	-0.134	0.037	-0.093	0.021
-0.072	0.078	-0.018	0.018	-0.010	0.013	0.027	-0.023	0.037	-0.035	0.021	-0.025
0.067	-0.018	0.283	-0.077	-0.083	0.023	0.000	0.000	-0.134	0.037	0.000	0.000
-0.018	0.018	-0.077	0.065	0.023	-0.024	0.000	0.000	0.037	-0.035	0.000	0.000
0.046	-0.010	-0.083	0.023	0.212	-0.056	0.000	0.000	0.000	0.000	-0.093	0.021
-0.010	0.013	0.023	-0.024	-0.056	0.060	0.000	0.000	0.000	0.000	0.021	-0.025
-0.097	0.027	0.000	0.000	0.000	0.000	0.193	-0.053	0.000	0.000	0.000	0.000
0.027	-0.023	0.000	0.000	0.000	0.000	-0.053	0.047	0.000	0.000	0.000	0.000
-0.134	0.037	-0.134	0.037	0.000	0.000	0.000	0.000	0.268	-0.074	0.000	0.000
0.037	-0.035	0.037	-0.035	0.000	0.000	0.000	0.000	-0.074	0.070	0.000	0.000
-0.093	0.021	0.000	0.000	-0.093	0.021	0.000	0.000	0.000	0.000	0.186	-0.042
0.021	-0.025	0.000	0.000	0.021	-0.025	0.000	0.000	0.000	0.000	-0.042	0.050

Enter intrabreed and interbreed nonadditive genetic variances

vnab
8	6
6	16

Compute vnf = multibreed nonadditive genetic covariance matrices for individual animals

vnf
8	6	0	0	0	0	0	0	0	0	0	0
6	16	0	0	0	0	0	0	0	0	0	0
0	0	8	6	0	0	0	0	0	0	0	0
0	0	6	16	0	0	0	0	0	0	0	0
0	0	0	0	8	6	0	0	0	0	0	0
0	0	0	0	6	16	0	0	0	0	0	0
0	0	0	0	0	0	8	6	0	0	0	0
0	0	0	0	0	0	6	16	0	0	0	0
0	0	0	0	0	0	0	0	8	6	0	0
0	0	0	0	0	0	0	0	6	16	0	0
0	0	0	0	0	0	0	0	0	0	8	6
0	0	0	0	0	0	0	0	0	0	6	16

Compute dnf = block-diagonal matrix of residual nonadditive genetic covariance matrices

Recall: (Gn)-1 = (I - 1/2 P') (Block-diagonal Dn)-1 (I - 1/2 P) for [dni]-1 blocks

dnf
8	6	0	0	0	0	0	0	0	0	0	0
6	16	0	0	0	0	0	0	0	0	0	0
0	0	8	6	0	0	0	0	0	0	0	0
0	0	6	16	0	0	0	0	0	0	0	0
0	0	0	0	6	4.5	0	0	0	0	0	0
0	0	0	0	4.5	12	0	0	0	0	0	0
0	0	0	0	0	0	6	4.5	0	0	0	0
0	0	0	0	0	0	4.5	12	0	0	0	0
0	0	0	0	0	0	0	0	4	3	0	0
0	0	0	0	0	0	0	0	3	8	0	0
0	0	0	0	0	0	0	0	0	0	4	3
0	0	0	0	0	0	0	0	0	0	3	8

Make dn = dnf, i.e., use computed dn

Compute dainv = inverse of dn

dninv = inverse of block-diagonal matrix of residual nonadditive genetic covariance matrices

dninv
0.173913	-0.065217	0	0	0	0	0	0	0	0	0	0
-0.065217	0.0869565	0	0	0	0	0	0	0	0	0	0
0	0	0.173913	-0.065217	0	0	0	0	0	0	0	0
0	0	-0.065217	0.0869565	0	0	0	0	0	0	0	0
0	0	0	0	0.2318841	-0.086957	0	0	0	0	0	0
0	0	0	0	-0.086957	0.115942	0	0	0	0	0	0
0	0	0	0	0	0	0.2318841	-0.086957	0	0	0	0
0	0	0	0	0	0	-0.086957	0.115942	0	0	0	0
0	0	0	0	0	0	0	0	0.3478261	-0.130435	0	0
0	0	0	0	0	0	0	0	-0.130435	0.173913	0	0
0	0	0	0	0	0	0	0	0	0	0.3478261	-0.130435
0	0	0	0	0	0	0	0	0	0	-0.130435	0.173913

Compute gninv = inverse of the matrix of regression nonadditive genetic covariances

Using algorithm to compute gninv directly; Elzo (1990b),JAS 68:4079-4099

gninv
0.4057971	-0.152174	0.0869565	-0.032609	0.0869565	-0.032609	-0.115942	0.0434783	-0.173913	0.0652174	-0.173913	0.0652174
-0.152174	0.2028986	-0.032609	0.0434783	-0.032609	0.0434783	0.0434783	-0.057971	0.0652174	-0.086957	0.0652174	-0.086957
0.0869565	-0.032609	0.3188406	-0.119565	-0.115942	0.0434783	0	0	-0.173913	0.0652174	0	0
-0.032609	0.0434783	-0.119565	0.1594203	0.0434783	-0.057971	0	0	0.0652174	-0.086957	0	0
0.0869565	-0.032609	-0.115942	0.0434783	0.3188406	-0.119565	0	0	0	0	-0.173913	0.0652174
-0.032609	0.0434783	0.0434783	-0.057971	-0.119565	0.1594203	0	0	0	0	0.0652174	-0.086957
-0.115942	0.0434783	0	0	0	0	0.2318841	-0.086957	0	0	0	0
0.0434783	-0.057971	0	0	0	0	-0.086957	0.115942	0	0	0	0
-0.173913	0.0652174	-0.173913	0.0652174	0	0	0	0	0.3478261	-0.130435	0	0
0.0652174	-0.086957	0.0652174	-0.086957	0	0	0	0	-0.130435	0.173913	0	0
-0.173913	0.0652174	0	0	-0.173913	0.0652174	0	0	0	0	0.3478261	-0.130435
0.0652174	-0.086957	0	0	0.0652174	-0.086957	0	0	0	0	-0.130435	0.173913

gninv
0.406	-0.152	0.087	-0.033	0.087	-0.033	-0.116	0.043	-0.174	0.065	-0.174	0.065
-0.152	0.203	-0.033	0.043	-0.033	0.043	0.043	-0.058	0.065	-0.087	0.065	-0.087
0.087	-0.033	0.319	-0.120	-0.116	0.043	0.000	0.000	-0.174	0.065	0.000	0.000
-0.033	0.043	-0.120	0.159	0.043	-0.058	0.000	0.000	0.065	-0.087	0.000	0.000
0.087	-0.033	-0.116	0.043	0.319	-0.120	0.000	0.000	0.000	0.000	-0.174	0.065
-0.033	0.043	0.043	-0.058	-0.120	0.159	0.000	0.000	0.000	0.000	0.065	-0.087
-0.116	0.043	0.000	0.000	0.000	0.000	0.232	-0.087	0.000	0.000	0.000	0.000
0.043	-0.058	0.000	0.000	0.000	0.000	-0.087	0.116	0.000	0.000	0.000	0.000
-0.174	0.065	-0.174	0.065	0.000	0.000	0.000	0.000	0.348	-0.130	0.000	0.000
0.065	-0.087	0.065	-0.087	0.000	0.000	0.000	0.000	-0.130	0.174	0.000	0.000
-0.174	0.065	0.000	0.000	-0.174	0.065	0.000	0.000	0.000	0.000	0.348	-0.130
0.065	-0.087	0.000	0.000	0.065	-0.087	0.000	0.000	0.000	0.000	-0.130	0.174

Compute lhs = left hand side of the MME

Add gainv to lhs

Add gninv to lhs

lhs
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	0.7335353	-0.200442	0.3514283	-0.083553	0.382107	-0.116889	0.4163878	-0.103344	0.3105801	-0.073922	0.4229552	-0.12652	0.1004098	-0.020492	0.173913	-0.065217	0.1245211	-0.030651	0.1245211	-0.030651	0.1245211	-0.030651	0.0856492	-0.022779	0.2918667	-0.072692	0.2490421	-0.061303	0.0428246	-0.01139	0	0	0	0	0	0
ROW2	-0.200442	0.2538241	-0.083553	0.1025626	-0.116889	0.1512615	-0.103344	0.12861	-0.073922	0.0902392	-0.12652	0.1635849	-0.020492	0.0245902	-0.065217	0.0869565	-0.030651	0.0383142	-0.030651	0.0383142	-0.030651	0.0383142	-0.022779	0.0273349	-0.072692	0.0902958	-0.061303	0.0766284	-0.01139	0.0136674	0	0	0	0	0	0
ROW3	0.3514283	-0.083553	0.2419783	-0.056294	0.10945	-0.02726	0.2189001	-0.054519	0.2269073	-0.052902	0.1245211	-0.030651	0.1004098	-0.020492	0	0	0.0622605	-0.015326	0.0622605	-0.015326	0.0622605	-0.015326	0.0642369	-0.017084	0.1566395	-0.039193	0.1245211	-0.030651	0.0321185	-0.008542	0	0	0	0	0	0
ROW4	-0.083553	0.1025626	-0.056294	0.0687017	-0.02726	0.0338609	-0.054519	0.0677218	-0.052902	0.0642484	-0.030651	0.0383142	-0.020492	0.0245902	0	0	-0.015326	0.0191571	-0.015326	0.0191571	-0.015326	0.0191571	-0.017084	0.0205011	-0.039193	0.0485647	-0.030651	0.0383142	-0.008542	0.0102506	0	0	0	0	0	0
ROW5	0.382107	-0.116889	0.10945	-0.02726	0.2726569	-0.08963	0.1974878	-0.048824	0.0836728	-0.02102	0.2984341	-0.095869	0	0	0.173913	-0.065217	0.0622605	-0.015326	0.0622605	-0.015326	0.0622605	-0.015326	0.0214123	-0.005695	0.1352272	-0.033499	0.1245211	-0.030651	0.0107062	-0.002847	0	0	0	0	0	0
ROW6	-0.116889	0.1512615	-0.02726	0.0338609	-0.08963	0.1174006	-0.048824	0.0608881	-0.02102	0.0259908	-0.095869	0.1252707	0	0	-0.065217	0.0869565	-0.015326	0.0191571	-0.015326	0.0191571	-0.015326	0.0191571	-0.005695	0.0068337	-0.033499	0.041731	-0.030651	0.0383142	-0.002847	0.0034169	0	0	0	0	0	0
ROW7	0.4163878	-0.103344	0.2189001	-0.054519	0.1974878	-0.048824	0.3949755	-0.097649	0.1673457	-0.042041	0.2490421	-0.061303	0	0	0	0	0.1245211	-0.030651	0.1245211	-0.030651	0.1245211	-0.030651	0.0428246	-0.01139	0.2704544	-0.066997	0.2490421	-0.061303	0.0214123	-0.005695	0	0	0	0	0	0
ROW8	-0.103344	0.12861	-0.054519	0.0677218	-0.048824	0.0608881	-0.097649	0.1217762	-0.042041	0.0519816	-0.061303	0.0766284	0	0	0	0	-0.030651	0.0383142	-0.030651	0.0383142	-0.030651	0.0383142	-0.01139	0.0136674	-0.066997	0.0834621	-0.061303	0.0766284	-0.005695	0.0068337	0	0	0	0	0	0
ROW9	0.3105801	-0.073922	0.2269073	-0.052902	0.0836728	-0.02102	0.1673457	-0.042041	0.3105801	-0.073922	0	0	0.1004098	-0.020492	0	0	0	0	0	0	0.1245211	-0.030651	0.0856492	-0.022779	0.1673457	-0.042041	0.1245211	-0.030651	0.0428246	-0.01139	0	0	0	0	0	0
ROW10	-0.073922	0.0902392	-0.052902	0.0642484	-0.02102	0.0259908	-0.042041	0.0519816	-0.073922	0.0902392	0	0	-0.020492	0.0245902	0	0	0	0	0	0	-0.030651	0.0383142	-0.022779	0.0273349	-0.042041	0.0519816	-0.030651	0.0383142	-0.01139	0.0136674	0	0	0	0	0	0
ROW11	0.4229552	-0.12652	0.1245211	-0.030651	0.2984341	-0.095869	0.2490421	-0.061303	0	0	0.4229552	-0.12652	0	0	0.173913	-0.065217	0.1245211	-0.030651	0.1245211	-0.030651	0	0	0	0	0.1245211	-0.030651	0.1245211	-0.030651	0	0	0	0	0	0	0	0
ROW12	-0.12652	0.1635849	-0.030651	0.0383142	-0.095869	0.1252707	-0.061303	0.0766284	0	0	-0.12652	0.1635849	0	0	-0.065217	0.0869565	-0.030651	0.0383142	-0.030651	0.0383142	0	0	0	0	-0.030651	0.0383142	-0.030651	0.0383142	0	0	0	0	0	0	0	0
ROW13	0.1004098	-0.020492	0.1004098	-0.020492	0	0	0	0	0.1004098	-0.020492	0	0	0.3704747	-0.092679	0.0668896	-0.018395	0.0463796	-0.010412	-0.096724	0.0265211	-0.133779	0.0367893	-0.092759	0.0208235	0	0	0	0	0	0	0	0	0	0	0	0
ROW14	-0.020492	0.0245902	-0.020492	0.0245902	0	0	0	0	-0.020492	0.0245902	0	0	-0.092679	0.1025351	-0.018395	0.0175585	-0.010412	0.0125414	0.0265211	-0.023401	0.0367893	-0.035117	0.0208235	-0.025083	0	0	0	0	0	0	0	0	0	0	0	0
ROW15	0.173913	-0.065217	0	0	0.173913	-0.065217	0	0	0	0	0.173913	-0.065217	0.0668896	-0.018395	0.4567753	-0.142643	-0.082739	0.0228245	0	0	-0.133779	0.0367893	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW16	-0.065217	0.0869565	0	0	-0.065217	0.0869565	0	0	0	0	-0.065217	0.0869565	-0.018395	0.0175585	-0.142643	0.1519982	0.0228245	-0.023538	0	0	0.0367893	-0.035117	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW17	0.1245211	-0.030651	0.0622605	-0.015326	0.0622605	-0.015326	0.1245211	-0.030651	0	0	0.1245211	-0.030651	0.0463796	-0.010412	-0.082739	0.0228245	0.3363785	-0.086712	0	0	0	0	-0.092759	0.0208235	0	0	0.1245211	-0.030651	0	0	0	0	0	0	0	0
ROW18	-0.030651	0.0383142	-0.015326	0.0191571	-0.015326	0.0191571	-0.030651	0.0383142	0	0	-0.030651	0.0383142	-0.010412	0.0125414	0.0228245	-0.023538	-0.086712	0.0979312	0	0	0	0	0.0208235	-0.025083	0	0	-0.030651	0.0383142	0	0	0	0	0	0	0	0
ROW19	0.1245211	-0.030651	0.0622605	-0.015326	0.0622605	-0.015326	0.1245211	-0.030651	0	0	0.1245211	-0.030651	-0.096724	0.0265211	0	0	0	0	0.3179688	-0.083693	0	0	0	0	0.1245211	-0.030651	0	0	0	0	0	0	0	0	0	0
ROW20	-0.030651	0.0383142	-0.015326	0.0191571	-0.015326	0.0191571	-0.030651	0.0383142	0	0	-0.030651	0.0383142	0.0265211	-0.023401	0	0	0	0	-0.083693	0.085116	0	0	0	0	-0.030651	0.0383142	0	0	0	0	0	0	0	0	0	0
ROW21	0.1245211	-0.030651	0.0622605	-0.015326	0.0622605	-0.015326	0.1245211	-0.030651	0.1245211	-0.030651	0	0	-0.133779	0.0367893	-0.133779	0.0367893	0	0	0	0	0.3920796	-0.10423	0	0	0.1245211	-0.030651	0.1245211	-0.030651	0	0	0	0	0	0	0	0
ROW22	-0.030651	0.0383142	-0.015326	0.0191571	-0.015326	0.0191571	-0.030651	0.0383142	-0.030651	0.0383142	0	0	0.0367893	-0.035117	0.0367893	-0.035117	0	0	0	0	-0.10423	0.1085483	0	0	-0.030651	0.0383142	-0.030651	0.0383142	0	0	0	0	0	0	0	0
ROW23	0.0856492	-0.022779	0.0642369	-0.017084	0.0214123	-0.005695	0.0428246	-0.01139	0.0856492	-0.022779	0	0	-0.092759	0.0208235	0	0	-0.092759	0.0208235	0	0	0	0	0.2711674	-0.064426	0.0428246	-0.01139	0	0	0.0428246	-0.01139	0	0	0	0	0	0
ROW24	-0.022779	0.0273349	-0.017084	0.0205011	-0.005695	0.0068337	-0.01139	0.0136674	-0.022779	0.0273349	0	0	0.0208235	-0.025083	0	0	0.0208235	-0.025083	0	0	0	0	-0.064426	0.0775005	-0.01139	0.0136674	0	0	-0.01139	0.0136674	0	0	0	0	0	0
ROW25	0.2918667	-0.072692	0.1566395	-0.039193	0.1352272	-0.033499	0.2704544	-0.066997	0.1673457	-0.042041	0.1245211	-0.030651	0	0	0	0	0	0	0.1245211	-0.030651	0.1245211	-0.030651	0.0428246	-0.01139	0.6762515	-0.219171	0.2114776	-0.06326	0.1083688	-0.038303	-0.115942	0.0434783	-0.173913	0.0652174	-0.173913	0.0652174
ROW26	-0.072692	0.0902958	-0.039193	0.0485647	-0.033499	0.041731	-0.066997	0.0834621	-0.042041	0.0519816	-0.030651	0.0383142	0	0	0	0	0	0	-0.030651	0.0383142	-0.030651	0.0383142	-0.01139	0.0136674	-0.219171	0.2863606	-0.06326	0.0817924	-0.038303	0.050312	0.0434783	-0.057971	0.0652174	-0.086957	0.0652174	-0.086957
ROW27	0.2490421	-0.061303	0.1245211	-0.030651	0.1245211	-0.030651	0.2490421	-0.061303	0.1245211	-0.030651	0.1245211	-0.030651	0	0	0	0	0.1245211	-0.030651	0	0	0.1245211	-0.030651	0	0	0.2114776	-0.06326	0.5678827	-0.180868	-0.115942	0.0434783	0	0	-0.173913	0.0652174	0	0
ROW28	-0.061303	0.0766284	-0.030651	0.0383142	-0.030651	0.0383142	-0.061303	0.0766284	-0.030651	0.0383142	-0.030651	0.0383142	0	0	0	0	-0.030651	0.0383142	0	0	-0.030651	0.0383142	0	0	-0.06326	0.0817924	-0.180868	0.2360486	0.0434783	-0.057971	0	0	0.0652174	-0.086957	0	0
ROW29	0.0428246	-0.01139	0.0321185	-0.008542	0.0107062	-0.002847	0.0214123	-0.005695	0.0428246	-0.01139	0	0	0	0	0	0	0	0	0	0	0	0	0.0428246	-0.01139	0.1083688	-0.038303	-0.115942	0.0434783	0.3402529	-0.12526	0	0	0	0	-0.173913	0.0652174
ROW30	-0.01139	0.0136674	-0.008542	0.0102506	-0.002847	0.0034169	-0.005695	0.0068337	-0.01139	0.0136674	0	0	0	0	0	0	0	0	0	0	0	0	-0.01139	0.0136674	-0.038303	0.050312	0.0434783	-0.057971	-0.12526	0.166254	0	0	0	0	0.0652174	-0.086957
ROW31	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-0.115942	0.0434783	0	0	0	0	0.2318841	-0.086957	0	0	0	0
ROW32	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.0434783	-0.057971	0	0	0	0	-0.086957	0.115942	0	0	0	0
ROW33	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-0.173913	0.0652174	-0.173913	0.0652174	0	0	0	0	0.3478261	-0.130435	0	0
ROW34	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.0652174	-0.086957	0.0652174	-0.086957	0	0	0	0	-0.130435	0.173913	0	0
ROW35	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-0.173913	0.0652174	0	0	-0.173913	0.0652174	0	0	0	0	0.3478261	-0.130435
ROW36	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.0652174	-0.086957	0	0	0.0652174	-0.086957	0	0	0	0	-0.130435	0.173913

lhs
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	0.734	-0.200	0.351	-0.084	0.382	-0.117	0.416	-0.103	0.311	-0.074	0.423	-0.127	0.100	-0.020	0.174	-0.065	0.125	-0.031	0.125	-0.031	0.125	-0.031	0.086	-0.023	0.292	-0.073	0.249	-0.061	0.043	-0.011	0.000	0.000	0.000	0.000	0.000	0.000
ROW2	-0.200	0.254	-0.084	0.103	-0.117	0.151	-0.103	0.129	-0.074	0.090	-0.127	0.164	-0.020	0.025	-0.065	0.087	-0.031	0.038	-0.031	0.038	-0.031	0.038	-0.023	0.027	-0.073	0.090	-0.061	0.077	-0.011	0.014	0.000	0.000	0.000	0.000	0.000	0.000
ROW3	0.351	-0.084	0.242	-0.056	0.109	-0.027	0.219	-0.055	0.227	-0.053	0.125	-0.031	0.100	-0.020	0.000	0.000	0.062	-0.015	0.062	-0.015	0.062	-0.015	0.064	-0.017	0.157	-0.039	0.125	-0.031	0.032	-0.009	0.000	0.000	0.000	0.000	0.000	0.000
ROW4	-0.084	0.103	-0.056	0.069	-0.027	0.034	-0.055	0.068	-0.053	0.064	-0.031	0.038	-0.020	0.025	0.000	0.000	-0.015	0.019	-0.015	0.019	-0.015	0.019	-0.017	0.021	-0.039	0.049	-0.031	0.038	-0.009	0.010	0.000	0.000	0.000	0.000	0.000	0.000
ROW5	0.382	-0.117	0.109	-0.027	0.273	-0.090	0.197	-0.049	0.084	-0.021	0.298	-0.096	0.000	0.000	0.174	-0.065	0.062	-0.015	0.062	-0.015	0.062	-0.015	0.021	-0.006	0.135	-0.033	0.125	-0.031	0.011	-0.003	0.000	0.000	0.000	0.000	0.000	0.000
ROW6	-0.117	0.151	-0.027	0.034	-0.090	0.117	-0.049	0.061	-0.021	0.026	-0.096	0.125	0.000	0.000	-0.065	0.087	-0.015	0.019	-0.015	0.019	-0.015	0.019	-0.006	0.007	-0.033	0.042	-0.031	0.038	-0.003	0.003	0.000	0.000	0.000	0.000	0.000	0.000
ROW7	0.416	-0.103	0.219	-0.055	0.197	-0.049	0.395	-0.098	0.167	-0.042	0.249	-0.061	0.000	0.000	0.000	0.000	0.125	-0.031	0.125	-0.031	0.125	-0.031	0.043	-0.011	0.270	-0.067	0.249	-0.061	0.021	-0.006	0.000	0.000	0.000	0.000	0.000	0.000
ROW8	-0.103	0.129	-0.055	0.068	-0.049	0.061	-0.098	0.122	-0.042	0.052	-0.061	0.077	0.000	0.000	0.000	0.000	-0.031	0.038	-0.031	0.038	-0.031	0.038	-0.011	0.014	-0.067	0.083	-0.061	0.077	-0.006	0.007	0.000	0.000	0.000	0.000	0.000	0.000
ROW9	0.311	-0.074	0.227	-0.053	0.084	-0.021	0.167	-0.042	0.311	-0.074	0.000	0.000	0.100	-0.020	0.000	0.000	0.000	0.000	0.000	0.000	0.125	-0.031	0.086	-0.023	0.167	-0.042	0.125	-0.031	0.043	-0.011	0.000	0.000	0.000	0.000	0.000	0.000
ROW10	-0.074	0.090	-0.053	0.064	-0.021	0.026	-0.042	0.052	-0.074	0.090	0.000	0.000	-0.020	0.025	0.000	0.000	0.000	0.000	0.000	0.000	-0.031	0.038	-0.023	0.027	-0.042	0.052	-0.031	0.038	-0.011	0.014	0.000	0.000	0.000	0.000	0.000	0.000
ROW11	0.423	-0.127	0.125	-0.031	0.298	-0.096	0.249	-0.061	0.000	0.000	0.423	-0.127	0.000	0.000	0.174	-0.065	0.125	-0.031	0.125	-0.031	0.000	0.000	0.000	0.000	0.125	-0.031	0.125	-0.031	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW12	-0.127	0.164	-0.031	0.038	-0.096	0.125	-0.061	0.077	0.000	0.000	-0.127	0.164	0.000	0.000	-0.065	0.087	-0.031	0.038	-0.031	0.038	0.000	0.000	0.000	0.000	-0.031	0.038	-0.031	0.038	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW13	0.100	-0.020	0.100	-0.020	0.000	0.000	0.000	0.000	0.100	-0.020	0.000	0.000	0.370	-0.093	0.067	-0.018	0.046	-0.010	-0.097	0.027	-0.134	0.037	-0.093	0.021	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW14	-0.020	0.025	-0.020	0.025	0.000	0.000	0.000	0.000	-0.020	0.025	0.000	0.000	-0.093	0.103	-0.018	0.018	-0.010	0.013	0.027	-0.023	0.037	-0.035	0.021	-0.025	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW15	0.174	-0.065	0.000	0.000	0.174	-0.065	0.000	0.000	0.000	0.000	0.174	-0.065	0.067	-0.018	0.457	-0.143	-0.083	0.023	0.000	0.000	-0.134	0.037	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW16	-0.065	0.087	0.000	0.000	-0.065	0.087	0.000	0.000	0.000	0.000	-0.065	0.087	-0.018	0.018	-0.143	0.152	0.023	-0.024	0.000	0.000	0.037	-0.035	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW17	0.125	-0.031	0.062	-0.015	0.062	-0.015	0.125	-0.031	0.000	0.000	0.125	-0.031	0.046	-0.010	-0.083	0.023	0.336	-0.087	0.000	0.000	0.000	0.000	-0.093	0.021	0.000	0.000	0.125	-0.031	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW18	-0.031	0.038	-0.015	0.019	-0.015	0.019	-0.031	0.038	0.000	0.000	-0.031	0.038	-0.010	0.013	0.023	-0.024	-0.087	0.098	0.000	0.000	0.000	0.000	0.021	-0.025	0.000	0.000	-0.031	0.038	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW19	0.125	-0.031	0.062	-0.015	0.062	-0.015	0.125	-0.031	0.000	0.000	0.125	-0.031	-0.097	0.027	0.000	0.000	0.000	0.000	0.318	-0.084	0.000	0.000	0.000	0.000	0.125	-0.031	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW20	-0.031	0.038	-0.015	0.019	-0.015	0.019	-0.031	0.038	0.000	0.000	-0.031	0.038	0.027	-0.023	0.000	0.000	0.000	0.000	-0.084	0.085	0.000	0.000	0.000	0.000	-0.031	0.038	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW21	0.125	-0.031	0.062	-0.015	0.062	-0.015	0.125	-0.031	0.125	-0.031	0.000	0.000	-0.134	0.037	-0.134	0.037	0.000	0.000	0.000	0.000	0.392	-0.104	0.000	0.000	0.125	-0.031	0.125	-0.031	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW22	-0.031	0.038	-0.015	0.019	-0.015	0.019	-0.031	0.038	-0.031	0.038	0.000	0.000	0.037	-0.035	0.037	-0.035	0.000	0.000	0.000	0.000	-0.104	0.109	0.000	0.000	-0.031	0.038	-0.031	0.038	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW23	0.086	-0.023	0.064	-0.017	0.021	-0.006	0.043	-0.011	0.086	-0.023	0.000	0.000	-0.093	0.021	0.000	0.000	-0.093	0.021	0.000	0.000	0.000	0.000	0.271	-0.064	0.043	-0.011	0.000	0.000	0.043	-0.011	0.000	0.000	0.000	0.000	0.000	0.000
ROW24	-0.023	0.027	-0.017	0.021	-0.006	0.007	-0.011	0.014	-0.023	0.027	0.000	0.000	0.021	-0.025	0.000	0.000	0.021	-0.025	0.000	0.000	0.000	0.000	-0.064	0.078	-0.011	0.014	0.000	0.000	-0.011	0.014	0.000	0.000	0.000	0.000	0.000	0.000
ROW25	0.292	-0.073	0.157	-0.039	0.135	-0.033	0.270	-0.067	0.167	-0.042	0.125	-0.031	0.000	0.000	0.000	0.000	0.000	0.000	0.125	-0.031	0.125	-0.031	0.043	-0.011	0.676	-0.219	0.211	-0.063	0.108	-0.038	-0.116	0.043	-0.174	0.065	-0.174	0.065
ROW26	-0.073	0.090	-0.039	0.049	-0.033	0.042	-0.067	0.083	-0.042	0.052	-0.031	0.038	0.000	0.000	0.000	0.000	0.000	0.000	-0.031	0.038	-0.031	0.038	-0.011	0.014	-0.219	0.286	-0.063	0.082	-0.038	0.050	0.043	-0.058	0.065	-0.087	0.065	-0.087
ROW27	0.249	-0.061	0.125	-0.031	0.125	-0.031	0.249	-0.061	0.125	-0.031	0.125	-0.031	0.000	0.000	0.000	0.000	0.125	-0.031	0.000	0.000	0.125	-0.031	0.000	0.000	0.211	-0.063	0.568	-0.181	-0.116	0.043	0.000	0.000	-0.174	0.065	0.000	0.000
ROW28	-0.061	0.077	-0.031	0.038	-0.031	0.038	-0.061	0.077	-0.031	0.038	-0.031	0.038	0.000	0.000	0.000	0.000	-0.031	0.038	0.000	0.000	-0.031	0.038	0.000	0.000	-0.063	0.082	-0.181	0.236	0.043	-0.058	0.000	0.000	0.065	-0.087	0.000	0.000
ROW29	0.043	-0.011	0.032	-0.009	0.011	-0.003	0.021	-0.006	0.043	-0.011	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.043	-0.011	0.108	-0.038	-0.116	0.043	0.340	-0.125	0.000	0.000	0.000	0.000	-0.174	0.065
ROW30	-0.011	0.014	-0.009	0.010	-0.003	0.003	-0.006	0.007	-0.011	0.014	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.011	0.014	-0.038	0.050	0.043	-0.058	-0.125	0.166	0.000	0.000	0.000	0.000	0.065	-0.087
ROW31	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.116	0.043	0.000	0.000	0.000	0.000	0.232	-0.087	0.000	0.000	0.000	0.000
ROW32	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.043	-0.058	0.000	0.000	0.000	0.000	-0.087	0.116	0.000	0.000	0.000	0.000
ROW33	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.174	0.065	-0.174	0.065	0.000	0.000	0.000	0.000	0.348	-0.130	0.000	0.000
ROW34	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.065	-0.087	0.065	-0.087	0.000	0.000	0.000	0.000	-0.130	0.174	0.000	0.000
ROW35	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.174	0.065	0.000	0.000	-0.174	0.065	0.000	0.000	0.000	0.000	0.348	-0.130
ROW36	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.065	-0.087	0.000	0.000	0.065	-0.087	0.000	0.000	0.000	0.000	-0.130	0.174

Compute rhs = right hand side of the MME

rhs
-29.4053
60.794907
-11.41883
25.661221
-17.98647
35.133686
-14.10337
31.441285
-10.34408
23.473818
-19.06122
37.321089
-2.608607
6.4303279
-10.93478
19.413043
-3.862069
8.8275862
-4.264368
9.0804598
-4.218391
10.022989
-3.517084
7.0205011
-10.2413
22.613699
-8.08046
18.850575
-1.758542
3.5102506
0
0
0
0
0
0

rhs
-29.41
60.79
-11.42
25.66
-17.99
35.13
-14.10
31.44
-10.34
23.47
-19.06
37.32
-2.61
6.43
-10.93
19.41
-3.86
8.83
-4.26
9.08
-4.22
10.02
-3.52
7.02
-10.24
22.61
-8.08
18.85
-1.76
3.51
0.00
0.00
0.00
0.00
0.00
0.00

Compute ginvlhs = generalized inverse of the left hand side of the MME

ginvlhs
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	2.407073	2.242929	1.500410	0.834282	0.906663	1.408647	-3.213837	-2.730312	1.470122	1.458935	0.936951	0.783993	-2.782589	-2.380916	-2.250687	-2.935568	-1.419234	-1.657420	-1.383148	-1.280958	-2.339256	-2.469863	-2.548074	-2.397538	0.023004	-0.036426	0.111931	0.138657	-0.146437	-0.084018	0.011502	-0.018213	0.067467	0.051116	-0.061717	-0.060222
ROW2	2.242929	8.398283	0.840030	5.238481	1.402899	3.159802	-2.729580	-10.53593	1.455782	5.225795	0.787146	3.172488	-2.380103	-8.524421	-2.932974	-10.73057	-1.661897	-6.131644	-1.282469	-4.641756	-2.462172	-8.854097	-2.396253	-9.234993	-0.059137	-0.192259	0.159586	0.497698	-0.070879	-0.209309	-0.029569	-0.096130	0.050224	0.152719	-0.065008	-0.200784
ROW3	1.500410	0.840030	17.641395	15.763341	-16.14098	-14.92331	-6.976274	-5.497515	-6.063076	-5.688738	7.563486	6.528768	-5.502455	-4.492332	4.077088	5.304515	-0.715648	-0.161356	-3.935474	-3.387462	1.875938	3.079910	-3.024943	-2.150416	2.707976	2.139084	1.267490	0.827141	0.670545	0.464233	1.353988	1.069542	1.987733	1.483112	1.689261	1.301659
ROW4	0.834282	5.238481	15.763341	61.922318	-14.92906	-56.68384	-5.475612	-23.20715	-5.699042	-20.74949	6.533324	25.987967	-4.502897	-15.90043	5.311453	19.457389	-0.164849	-0.904991	-3.402930	-12.11752	3.097057	11.800993	-2.172772	-8.499853	2.182567	5.846376	0.766942	2.149056	0.459208	1.081381	1.091283	2.923188	1.474754	3.997716	1.320888	3.463878
ROW5	0.906663	1.402899	-16.14098	-14.92906	17.047647	16.331958	3.762437	2.767203	7.533198	7.147674	-6.626535	-5.744775	2.719866	2.111416	-6.327775	-8.240083	-0.703586	-1.496064	2.552326	2.106504	-4.215195	-5.549773	0.476870	-0.247122	-2.684972	-2.175510	-1.155559	-0.688484	-0.816982	-0.548251	-1.342486	-1.087755	-1.920266	-1.431997	-1.750977	-1.361880
ROW6	1.408647	3.159802	-14.92331	-56.68384	16.331958	59.843639	2.746032	12.671217	7.154824	25.975281	-5.746178	-22.81548	2.122795	7.376004	-8.244427	-30.18796	-1.497048	-5.226653	2.120461	7.475764	-5.559229	-20.65509	-0.223481	-0.735140	-2.241704	-6.038635	-0.607356	-1.651358	-0.530088	-1.290690	-1.120852	-3.019317	-1.424530	-3.844996	-1.385896	-3.664662
ROW7	-3.213837	-2.729580	-6.976274	-5.475612	3.762437	2.746032	20.343793	16.477397	2.488416	1.764269	-5.702254	-4.493850	1.533075	1.328193	1.153654	1.477398	-1.535268	-1.387142	-1.162734	-1.429608	-1.208633	-1.280454	-0.187310	-0.156825	-6.071209	-4.503458	-5.872356	-4.458145	-3.020830	-2.286668	-3.035605	-2.251729	-5.971783	-4.480802	-4.546020	-3.395063
ROW8	-2.730312	-10.53593	-5.497515	-23.20715	2.767203	12.671217	16.477397	56.391350	1.776718	4.957734	-4.507030	-15.49367	1.329036	4.543902	1.470139	5.358380	-1.371818	-4.640735	-1.421622	-5.278632	-1.306972	-5.129492	-0.156550	0.192583	-4.480850	-11.90201	-4.475506	-12.11620	-2.303220	-6.030786	-2.240425	-5.951005	-4.478178	-12.00910	-3.392035	-8.966398
ROW9	1.470122	1.455782	-6.063076	-5.699042	7.533198	7.154824	2.488416	1.776718	7.254138	6.465437	-5.784016	-5.009655	-2.398901	-2.079949	-2.219304	-2.850952	0.132914	-0.096389	0.635973	0.875161	-4.390489	-4.619222	-2.499562	-2.297519	-2.018531	-1.602711	-1.569522	-1.077535	-1.402681	-1.018399	-1.009266	-0.801356	-1.794027	-1.340123	-1.710606	-1.310555
ROW10	1.458935	5.225795	-5.688738	-20.74949	7.147674	25.975281	1.764269	4.957734	6.465437	24.010265	-5.006501	-18.78447	-2.073658	-7.562829	-2.850108	-10.41661	-0.099259	-0.273418	0.879444	3.146676	-4.617068	-16.86298	-2.283418	-9.122044	-1.638630	-4.419021	-1.033897	-2.728150	-1.008158	-2.643318	-0.819315	-2.209510	-1.336263	-3.573586	-1.323394	-3.531170
ROW11	0.936951	0.787146	7.563486	6.533324	-6.626535	-5.746178	-5.702254	-4.507030	-5.784016	-5.006501	6.720967	5.793648	-0.383688	-0.300968	-0.031383	-0.084617	-1.552147	-1.561032	-2.019121	-2.156119	2.051233	2.149359	-0.048512	-0.100019	2.041535	1.566286	1.681453	1.216191	1.256244	0.934380	1.020767	0.783143	1.861494	1.391238	1.648890	1.250333
ROW12	0.783993	3.172488	6.528768	25.987967	-5.744775	-22.81548	-4.493850	-15.49367	-5.009655	-18.78447	5.793648	21.956958	-0.306445	-0.961592	-0.082866	-0.313966	-1.562638	-5.858226	-2.161913	-7.788432	2.154896	8.008879	-0.112835	-0.112949	1.579492	4.226762	1.193483	3.225848	0.937279	2.434009	0.789746	2.113381	1.386487	3.726305	1.258386	3.330385
ROW13	-2.782589	-2.380103	-5.502455	-4.502897	2.719866	2.122795	1.533075	1.329036	-2.398901	-2.073658	-0.383688	-0.306445	11.160010	9.336752	0.446411	0.563752	1.375203	1.342541	4.832615	3.869353	5.595392	4.738359	6.793279	5.759754	-0.804108	-0.577236	0.645283	0.460469	0.560878	0.405386	-0.402054	-0.288618	-0.079412	-0.058384	-0.121615	-0.085925
ROW14	-2.380916	-8.524421	-4.492332	-15.90043	2.111416	7.376004	1.328193	4.543902	-2.079949	-7.562829	-0.300968	-0.961592	9.336752	33.655400	0.570468	2.110009	1.342926	4.832271	3.862174	13.854585	4.748511	17.195848	5.761967	20.915898	-0.564370	-1.531701	0.447568	1.253488	0.398987	1.044063	-0.282185	-0.765850	-0.058401	-0.139107	-0.082692	-0.243819
ROW15	-2.250687	-2.932974	4.077088	5.311453	-6.327775	-8.244427	1.153654	1.470139	-2.219304	-2.850108	-0.031383	-0.082866	0.446411	0.570468	8.609845	11.260268	3.674967	4.714516	0.849943	1.330574	4.503217	5.870277	2.119716	2.744679	0.620434	0.645650	-0.637825	-0.666364	-0.292825	-0.302111	0.310217	0.322825	-0.008696	-0.010357	0.163804	0.171770
ROW16	-2.935568	-10.73057	5.304515	19.457389	-8.240083	-30.18796	1.477398	5.358380	-2.850952	-10.41661	-0.084617	-0.313966	0.563752	2.110009	11.260268	41.232500	4.721583	17.216522	1.323921	4.954424	5.866505	21.500307	2.732569	10.083082	0.721349	2.004133	-0.745712	-2.072189	-0.336312	-0.934010	0.360675	1.002066	-0.012181	-0.034028	0.192519	0.535061
ROW17	-1.419234	-1.661897	-0.715648	-0.164849	-0.703586	-1.497048	-1.535268	-1.371818	0.132914	-0.099259	-1.552147	-1.562638	1.375203	1.342926	3.674967	4.721583	8.180564	8.209264	2.043545	2.480429	2.800976	3.342561	4.085893	4.142031	1.407267	1.201971	-1.198844	-1.037060	-0.912057	-0.765896	0.703634	0.600985	0.104212	0.082455	0.247605	0.218037
ROW18	-1.657420	-6.131644	-0.161356	-0.904991	-1.496064	-5.226653	-1.387142	-4.640735	-0.096389	-0.273418	-1.561032	-5.858226	1.342541	4.832271	4.714516	17.216522	8.209264	29.822938	2.484869	9.156187	3.334396	12.045272	4.145679	14.843101	1.262138	3.467978	-1.087662	-3.054250	-0.805546	-2.147717	0.631069	1.733989	0.087238	0.206864	0.228296	0.660130
ROW19	-1.383148	-1.282469	-3.935474	-3.402930	2.552326	2.120461	-1.162734	-1.421622	0.635973	0.879444	-2.019121	-2.161913	4.832615	3.862174	0.849943	1.323921	2.043545	2.484869	8.520164	8.557801	2.777571	2.550377	3.603738	3.243645	-1.447456	-1.242208	1.396904	1.214015	0.774280	0.649297	-0.723728	-0.621104	-0.025276	-0.014096	-0.336588	-0.296456
ROW20	-1.280958	-4.641756	-3.387462	-12.11752	2.106504	7.475764	-1.429608	-5.278632	0.875161	3.146676	-2.156119	-7.788432	3.869353	13.854585	1.330574	4.954424	2.480429	9.156187	8.557801	30.946386	2.561733	9.301932	3.258728	11.750052	-1.305357	-3.591428	1.281456	3.548253	0.676579	1.838889	-0.652679	-1.795714	-0.011950	-0.021587	-0.314389	-0.876270
ROW21	-2.339256	-2.462172	1.875938	3.097057	-4.215195	-5.559229	-1.208633	-1.306972	-4.390489	-4.617068	2.051233	2.154896	5.595392	4.748511	4.503217	5.866505	2.800976	3.334396	2.777571	2.561733	9.970758	10.411380	5.016866	4.866540	-0.051648	0.074444	-0.194331	-0.279903	0.271803	0.168237	-0.025824	0.037222	-0.122990	-0.102729	0.110078	0.121340
ROW22	-2.469863	-8.854097	3.079910	11.800993	-5.549773	-20.65509	-1.280454	-5.129492	-4.619222	-16.86298	2.149359	8.008879	4.738359	17.195848	5.870277	21.500307	3.342561	12.045272	2.550377	9.301932	10.411380	38.000874	4.842861	17.906337	0.121708	0.359666	-0.342867	-0.903354	0.160304	0.363855	0.060854	0.179833	-0.110579	-0.271844	0.141006	0.361761
ROW23	-2.548074	-2.396253	-3.024943	-2.172772	0.476870	-0.223481	-0.187310	-0.156550	-2.499562	-2.283418	-0.048512	-0.112835	6.793279	5.761967	2.119716	2.732569	4.085893	4.145679	3.603738	3.258728	5.016866	4.842861	10.652051	9.257238	0.200376	0.227265	0.225857	0.095859	-0.526421	-0.436757	0.100188	0.113633	0.213117	0.161562	-0.163022	-0.104746
ROW24	-2.397538	-9.234993	-2.150416	-8.499853	-0.247122	-0.735140	-0.156825	0.192583	-2.297519	-9.122044	-0.100019	-0.112949	5.759754	20.915898	2.744679	10.083082	4.142031	14.843101	3.243645	11.750052	4.866540	17.906337	9.257238	36.451232	0.261741	0.669851	0.058885	0.282708	-0.451496	-1.287484	0.130870	0.334925	0.160313	0.476279	-0.094878	-0.308817
ROW25	0.023004	-0.059137	2.707976	2.182567	-2.684972	-2.241704	-6.071209	-4.480850	-2.018531	-1.638630	2.041535	1.579492	-0.804108	-0.564370	0.620434	0.721349	1.407267	1.262138	-1.447456	-1.305357	-0.051648	0.121708	0.200376	0.261741	6.861708	5.233267	1.168819	0.790079	0.538619	0.360021	3.430854	2.616633	4.015263	3.011673	3.700164	2.796644
ROW26	-0.036426	-0.192259	2.139084	5.846376	-2.175510	-6.038635	-4.503458	-11.90201	-1.602711	-4.419021	1.566286	4.226762	-0.577236	-1.531701	0.645650	2.004133	1.201971	3.467978	-1.242208	-3.591428	0.074444	0.359666	0.227265	0.669851	5.233267	14.485839	0.790593	1.564887	0.359507	0.706355	2.616633	7.242919	3.011930	8.025363	2.796387	7.596097
ROW27	0.111931	0.159586	1.267490	0.766942	-1.155559	-0.607356	-5.872356	-4.475506	-1.569522	-1.033897	1.681453	1.193483	0.645283	0.447568	-0.637825	-0.745712	-1.198844	-1.087662	1.396904	1.281456	-0.194331	-0.342867	0.225857	0.058885	1.168819	0.790593	6.679133	5.100902	3.567639	2.713208	0.584409	0.395296	3.923976	2.945748	2.368229	1.751901
ROW28	0.138657	0.497698	0.827141	2.149056	-0.688484	-1.651358	-4.458145	-12.11620	-1.077535	-2.728150	1.216191	3.225848	0.460469	1.253488	-0.666364	-2.072189	-1.037060	-3.054250	1.214015	3.548253	-0.279903	-0.903354	0.095859	0.282708	0.790079	1.564887	5.100902	14.228713	2.713979	7.423956	0.395040	0.782444	2.945491	7.896800	1.752029	4.494422
ROW29	-0.146437	-0.070879	0.670545	0.459208	-0.816982	-0.530088	-3.020830	-2.303220	-1.402681	-1.008158	1.256244	0.937279	0.560878	0.398987	-0.292825	-0.336312	-0.912057	-0.805546	0.774280	0.676579	0.271803	0.160304	-0.526421	-0.451496	0.538619	0.359507	3.567639	2.713979	7.624433	5.746761	0.269310	0.179753	2.053129	1.536743	4.081526	3.053134
ROW30	-0.084018	-0.209309	0.464233	1.081381	-0.548251	-1.290690	-2.286668	-6.030786	-1.018399	-2.643318	0.934380	2.434009	0.405386	1.044063	-0.302111	-0.934010	-0.765896	-2.147717	0.649297	1.838889	0.168237	0.363855	-0.436757	-1.287484	0.360021	0.706355	2.713208	7.423956	5.746761	15.516512	0.180010	0.353177	1.536614	4.065155	3.053391	8.111433
ROW31	0.011502	-0.029569	1.353988	1.091283	-1.342486	-1.120852	-3.035605	-2.240425	-1.009266	-0.819315	1.020767	0.789746	-0.402054	-0.282185	0.310217	0.360675	0.703634	0.631069	-0.723728	-0.652679	-0.025824	0.060854	0.100188	0.130870	3.430854	2.616633	0.584409	0.395040	0.269310	0.180010	7.715427	5.808317	2.007632	1.505836	1.850082	1.398322
ROW32	-0.018213	-0.096130	1.069542	2.923188	-1.087755	-3.019317	-2.251729	-5.951005	-0.801356	-2.209510	0.783143	2.113381	-0.288618	-0.765850	0.322825	1.002066	0.600985	1.733989	-0.621104	-1.795714	0.037222	0.179833	0.113633	0.334925	2.616633	7.242919	0.395296	0.782444	0.179753	0.353177	5.808317	15.621460	1.505965	4.012682	1.398193	3.798048
ROW33	0.067467	0.050224	1.987733	1.474754	-1.920266	-1.424530	-5.971783	-4.478178	-1.794027	-1.336263	1.861494	1.386487	-0.079412	-0.058401	-0.008696	-0.012181	0.104212	0.087238	-0.025276	-0.011950	-0.122990	-0.110579	0.213117	0.160313	4.015263	3.011930	3.923976	2.945491	2.053129	1.536614	2.007632	1.505965	7.969620	5.978710	3.034196	2.274272
ROW34	0.051116	0.152719	1.483112	3.997716	-1.431997	-3.844996	-4.480802	-12.00910	-1.340123	-3.573586	1.391238	3.726305	-0.058384	-0.139107	-0.010357	-0.034028	0.082455	0.206864	-0.014096	-0.021587	-0.102729	-0.271844	0.161562	0.476279	3.011673	8.025363	2.945748	7.896800	1.536743	4.065155	1.505836	4.012682	5.978710	15.961082	2.274208	6.045259
ROW35	-0.061717	-0.065008	1.689261	1.320888	-1.750977	-1.385896	-4.546020	-3.392035	-1.710606	-1.323394	1.648890	1.258386	-0.121615	-0.082692	0.163804	0.192519	0.247605	0.228296	-0.336588	-0.314389	0.110078	0.141006	-0.163022	-0.094878	3.700164	2.796387	2.368229	1.752029	4.081526	3.053391	1.850082	1.398193	3.034196	2.274208	7.890845	5.924889
ROW36	-0.060222	-0.200784	1.301659	3.463878	-1.361880	-3.664662	-3.395063	-8.966398	-1.310555	-3.531170	1.250333	3.330385	-0.085925	-0.243819	0.171770	0.535061	0.218037	0.660130	-0.296456	-0.876270	0.121340	0.361761	-0.104746	-0.308817	2.796644	7.596097	1.751901	4.494422	3.053134	8.111433	1.398322	3.798048	2.274272	6.045259	5.924889	15.853765

ginvlhs
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	2.407	2.243	1.500	0.834	0.907	1.409	-3.214	-2.730	1.470	1.459	0.937	0.784	-2.783	-2.381	-2.251	-2.936	-1.419	-1.657	-1.383	-1.281	-2.339	-2.470	-2.548	-2.398	0.023	-0.036	0.112	0.139	-0.146	-0.084	0.012	-0.018	0.067	0.051	-0.062	-0.060
ROW2	2.243	8.398	0.840	5.238	1.403	3.160	-2.730	-10.54	1.456	5.226	0.787	3.172	-2.380	-8.524	-2.933	-10.73	-1.662	-6.132	-1.282	-4.642	-2.462	-8.854	-2.396	-9.235	-0.059	-0.192	0.160	0.498	-0.071	-0.209	-0.030	-0.096	0.050	0.153	-0.065	-0.201
ROW3	1.500	0.840	17.641	15.763	-16.14	-14.92	-6.976	-5.498	-6.063	-5.689	7.563	6.529	-5.502	-4.492	4.077	5.305	-0.716	-0.161	-3.935	-3.387	1.876	3.080	-3.025	-2.150	2.708	2.139	1.267	0.827	0.671	0.464	1.354	1.070	1.988	1.483	1.689	1.302
ROW4	0.834	5.238	15.763	61.922	-14.93	-56.68	-5.476	-23.21	-5.699	-20.75	6.533	25.988	-4.503	-15.90	5.311	19.457	-0.165	-0.905	-3.403	-12.12	3.097	11.801	-2.173	-8.500	2.183	5.846	0.767	2.149	0.459	1.081	1.091	2.923	1.475	3.998	1.321	3.464
ROW5	0.907	1.403	-16.14	-14.93	17.048	16.332	3.762	2.767	7.533	7.148	-6.627	-5.745	2.720	2.111	-6.328	-8.240	-0.704	-1.496	2.552	2.107	-4.215	-5.550	0.477	-0.247	-2.685	-2.176	-1.156	-0.688	-0.817	-0.548	-1.342	-1.088	-1.920	-1.432	-1.751	-1.362
ROW6	1.409	3.160	-14.92	-56.68	16.332	59.844	2.746	12.671	7.155	25.975	-5.746	-22.82	2.123	7.376	-8.244	-30.19	-1.497	-5.227	2.120	7.476	-5.559	-20.66	-0.223	-0.735	-2.242	-6.039	-0.607	-1.651	-0.530	-1.291	-1.121	-3.019	-1.425	-3.845	-1.386	-3.665
ROW7	-3.214	-2.730	-6.976	-5.476	3.762	2.746	20.344	16.477	2.488	1.764	-5.702	-4.494	1.533	1.328	1.154	1.477	-1.535	-1.387	-1.163	-1.430	-1.209	-1.280	-0.187	-0.157	-6.071	-4.503	-5.872	-4.458	-3.021	-2.287	-3.036	-2.252	-5.972	-4.481	-4.546	-3.395
ROW8	-2.730	-10.54	-5.498	-23.21	2.767	12.671	16.477	56.391	1.777	4.958	-4.507	-15.49	1.329	4.544	1.470	5.358	-1.372	-4.641	-1.422	-5.279	-1.307	-5.129	-0.157	0.193	-4.481	-11.90	-4.476	-12.12	-2.303	-6.031	-2.240	-5.951	-4.478	-12.01	-3.392	-8.966
ROW9	1.470	1.456	-6.063	-5.699	7.533	7.155	2.488	1.777	7.254	6.465	-5.784	-5.010	-2.399	-2.080	-2.219	-2.851	0.133	-0.096	0.636	0.875	-4.390	-4.619	-2.500	-2.298	-2.019	-1.603	-1.570	-1.078	-1.403	-1.018	-1.009	-0.801	-1.794	-1.340	-1.711	-1.311
ROW10	1.459	5.226	-5.689	-20.75	7.148	25.975	1.764	4.958	6.465	24.010	-5.007	-18.78	-2.074	-7.563	-2.850	-10.42	-0.099	-0.273	0.879	3.147	-4.617	-16.86	-2.283	-9.122	-1.639	-4.419	-1.034	-2.728	-1.008	-2.643	-0.819	-2.210	-1.336	-3.574	-1.323	-3.531
ROW11	0.937	0.787	7.563	6.533	-6.627	-5.746	-5.702	-4.507	-5.784	-5.007	6.721	5.794	-0.384	-0.301	-0.031	-0.085	-1.552	-1.561	-2.019	-2.156	2.051	2.149	-0.049	-0.100	2.042	1.566	1.681	1.216	1.256	0.934	1.021	0.783	1.861	1.391	1.649	1.250
ROW12	0.784	3.172	6.529	25.988	-5.745	-22.82	-4.494	-15.49	-5.010	-18.78	5.794	21.957	-0.306	-0.962	-0.083	-0.314	-1.563	-5.858	-2.162	-7.788	2.155	8.009	-0.113	-0.113	1.579	4.227	1.193	3.226	0.937	2.434	0.790	2.113	1.386	3.726	1.258	3.330
ROW13	-2.783	-2.380	-5.502	-4.503	2.720	2.123	1.533	1.329	-2.399	-2.074	-0.384	-0.306	11.160	9.337	0.446	0.564	1.375	1.343	4.833	3.869	5.595	4.738	6.793	5.760	-0.804	-0.577	0.645	0.460	0.561	0.405	-0.402	-0.289	-0.079	-0.058	-0.122	-0.086
ROW14	-2.381	-8.524	-4.492	-15.90	2.111	7.376	1.328	4.544	-2.080	-7.563	-0.301	-0.962	9.337	33.655	0.570	2.110	1.343	4.832	3.862	13.855	4.749	17.196	5.762	20.916	-0.564	-1.532	0.448	1.253	0.399	1.044	-0.282	-0.766	-0.058	-0.139	-0.083	-0.244
ROW15	-2.251	-2.933	4.077	5.311	-6.328	-8.244	1.154	1.470	-2.219	-2.850	-0.031	-0.083	0.446	0.570	8.610	11.260	3.675	4.715	0.850	1.331	4.503	5.870	2.120	2.745	0.620	0.646	-0.638	-0.666	-0.293	-0.302	0.310	0.323	-0.009	-0.010	0.164	0.172
ROW16	-2.936	-10.73	5.305	19.457	-8.240	-30.19	1.477	5.358	-2.851	-10.42	-0.085	-0.314	0.564	2.110	11.260	41.233	4.722	17.217	1.324	4.954	5.867	21.500	2.733	10.083	0.721	2.004	-0.746	-2.072	-0.336	-0.934	0.361	1.002	-0.012	-0.034	0.193	0.535
ROW17	-1.419	-1.662	-0.716	-0.165	-0.704	-1.497	-1.535	-1.372	0.133	-0.099	-1.552	-1.563	1.375	1.343	3.675	4.722	8.181	8.209	2.044	2.480	2.801	3.343	4.086	4.142	1.407	1.202	-1.199	-1.037	-0.912	-0.766	0.704	0.601	0.104	0.082	0.248	0.218
ROW18	-1.657	-6.132	-0.161	-0.905	-1.496	-5.227	-1.387	-4.641	-0.096	-0.273	-1.561	-5.858	1.343	4.832	4.715	17.217	8.209	29.823	2.485	9.156	3.334	12.045	4.146	14.843	1.262	3.468	-1.088	-3.054	-0.806	-2.148	0.631	1.734	0.087	0.207	0.228	0.660
ROW19	-1.383	-1.282	-3.935	-3.403	2.552	2.120	-1.163	-1.422	0.636	0.879	-2.019	-2.162	4.833	3.862	0.850	1.324	2.044	2.485	8.520	8.558	2.778	2.550	3.604	3.244	-1.447	-1.242	1.397	1.214	0.774	0.649	-0.724	-0.621	-0.025	-0.014	-0.337	-0.296
ROW20	-1.281	-4.642	-3.387	-12.12	2.107	7.476	-1.430	-5.279	0.875	3.147	-2.156	-7.788	3.869	13.855	1.331	4.954	2.480	9.156	8.558	30.946	2.562	9.302	3.259	11.750	-1.305	-3.591	1.281	3.548	0.677	1.839	-0.653	-1.796	-0.012	-0.022	-0.314	-0.876
ROW21	-2.339	-2.462	1.876	3.097	-4.215	-5.559	-1.209	-1.307	-4.390	-4.617	2.051	2.155	5.595	4.749	4.503	5.867	2.801	3.334	2.778	2.562	9.971	10.411	5.017	4.867	-0.052	0.074	-0.194	-0.280	0.272	0.168	-0.026	0.037	-0.123	-0.103	0.110	0.121
ROW22	-2.470	-8.854	3.080	11.801	-5.550	-20.66	-1.280	-5.129	-4.619	-16.86	2.149	8.009	4.738	17.196	5.870	21.500	3.343	12.045	2.550	9.302	10.411	38.001	4.843	17.906	0.122	0.360	-0.343	-0.903	0.160	0.364	0.061	0.180	-0.111	-0.272	0.141	0.362
ROW23	-2.548	-2.396	-3.025	-2.173	0.477	-0.223	-0.187	-0.157	-2.500	-2.283	-0.049	-0.113	6.793	5.762	2.120	2.733	4.086	4.146	3.604	3.259	5.017	4.843	10.652	9.257	0.200	0.227	0.226	0.096	-0.526	-0.437	0.100	0.114	0.213	0.162	-0.163	-0.105
ROW24	-2.398	-9.235	-2.150	-8.500	-0.247	-0.735	-0.157	0.193	-2.298	-9.122	-0.100	-0.113	5.760	20.916	2.745	10.083	4.142	14.843	3.244	11.750	4.867	17.906	9.257	36.451	0.262	0.670	0.059	0.283	-0.451	-1.287	0.131	0.335	0.160	0.476	-0.095	-0.309
ROW25	0.023	-0.059	2.708	2.183	-2.685	-2.242	-6.071	-4.481	-2.019	-1.639	2.042	1.579	-0.804	-0.564	0.620	0.721	1.407	1.262	-1.447	-1.305	-0.052	0.122	0.200	0.262	6.862	5.233	1.169	0.790	0.539	0.360	3.431	2.617	4.015	3.012	3.700	2.797
ROW26	-0.036	-0.192	2.139	5.846	-2.176	-6.039	-4.503	-11.90	-1.603	-4.419	1.566	4.227	-0.577	-1.532	0.646	2.004	1.202	3.468	-1.242	-3.591	0.074	0.360	0.227	0.670	5.233	14.486	0.791	1.565	0.360	0.706	2.617	7.243	3.012	8.025	2.796	7.596
ROW27	0.112	0.160	1.267	0.767	-1.156	-0.607	-5.872	-4.476	-1.570	-1.034	1.681	1.193	0.645	0.448	-0.638	-0.746	-1.199	-1.088	1.397	1.281	-0.194	-0.343	0.226	0.059	1.169	0.791	6.679	5.101	3.568	2.713	0.584	0.395	3.924	2.946	2.368	1.752
ROW28	0.139	0.498	0.827	2.149	-0.688	-1.651	-4.458	-12.12	-1.078	-2.728	1.216	3.226	0.460	1.253	-0.666	-2.072	-1.037	-3.054	1.214	3.548	-0.280	-0.903	0.096	0.283	0.790	1.565	5.101	14.229	2.714	7.424	0.395	0.782	2.945	7.897	1.752	4.494
ROW29	-0.146	-0.071	0.671	0.459	-0.817	-0.530	-3.021	-2.303	-1.403	-1.008	1.256	0.937	0.561	0.399	-0.293	-0.336	-0.912	-0.806	0.774	0.677	0.272	0.160	-0.526	-0.451	0.539	0.360	3.568	2.714	7.624	5.747	0.269	0.180	2.053	1.537	4.082	3.053
ROW30	-0.084	-0.209	0.464	1.081	-0.548	-1.291	-2.287	-6.031	-1.018	-2.643	0.934	2.434	0.405	1.044	-0.302	-0.934	-0.766	-2.148	0.649	1.839	0.168	0.364	-0.437	-1.287	0.360	0.706	2.713	7.424	5.747	15.517	0.180	0.353	1.537	4.065	3.053	8.111
ROW31	0.012	-0.030	1.354	1.091	-1.342	-1.121	-3.036	-2.240	-1.009	-0.819	1.021	0.790	-0.402	-0.282	0.310	0.361	0.704	0.631	-0.724	-0.653	-0.026	0.061	0.100	0.131	3.431	2.617	0.584	0.395	0.269	0.180	7.715	5.808	2.008	1.506	1.850	1.398
ROW32	-0.018	-0.096	1.070	2.923	-1.088	-3.019	-2.252	-5.951	-0.801	-2.210	0.783	2.113	-0.289	-0.766	0.323	1.002	0.601	1.734	-0.621	-1.796	0.037	0.180	0.114	0.335	2.617	7.243	0.395	0.782	0.180	0.353	5.808	15.621	1.506	4.013	1.398	3.798
ROW33	0.067	0.050	1.988	1.475	-1.920	-1.425	-5.972	-4.478	-1.794	-1.336	1.861	1.386	-0.079	-0.058	-0.009	-0.012	0.104	0.087	-0.025	-0.012	-0.123	-0.111	0.213	0.160	4.015	3.012	3.924	2.945	2.053	1.537	2.008	1.506	7.970	5.979	3.034	2.274
ROW34	0.051	0.153	1.483	3.998	-1.432	-3.845	-4.481	-12.01	-1.340	-3.574	1.391	3.726	-0.058	-0.139	-0.010	-0.034	0.082	0.207	-0.014	-0.022	-0.103	-0.272	0.162	0.476	3.012	8.025	2.946	7.897	1.537	4.065	1.506	4.013	5.979	15.961	2.274	6.045
ROW35	-0.062	-0.065	1.689	1.321	-1.751	-1.386	-4.546	-3.392	-1.711	-1.323	1.649	1.258	-0.122	-0.083	0.164	0.193	0.248	0.228	-0.337	-0.314	0.110	0.141	-0.163	-0.095	3.700	2.796	2.368	1.752	4.082	3.053	1.850	1.398	3.034	2.274	7.891	5.925
ROW36	-0.060	-0.201	1.302	3.464	-1.362	-3.665	-3.395	-8.966	-1.311	-3.531	1.250	3.330	-0.086	-0.244	0.172	0.535	0.218	0.660	-0.296	-0.876	0.121	0.362	-0.105	-0.309	2.797	7.596	1.752	4.494	3.053	8.111	1.398	3.798	2.274	6.045	5.925	15.854

Compute gl = ginvlhs*lhs = matrix of expectations of solutions

gl
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	0.500	-0.000	0.250	-0.000	0.250	-0.000	0.000	0.000	0.250	-0.000	0.250	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW2	-0.000	0.500	-0.000	0.250	-0.000	0.250	0.000	0.000	-0.000	0.250	-0.000	0.250	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW3	0.250	0.000	0.625	0.000	-0.375	0.000	-0.000	-0.000	0.125	0.000	0.125	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW4	-0.000	0.250	0.000	0.625	-0.000	-0.375	0.000	0.000	0.000	0.125	-0.000	0.125	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000
ROW5	0.250	0.000	-0.375	0.000	0.625	0.000	-0.000	-0.000	0.125	0.000	0.125	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	0.000	-0.000	0.000	0.000	0.000
ROW6	-0.000	0.250	-0.000	-0.375	0.000	0.625	-0.000	-0.000	-0.000	0.125	0.000	0.125	-0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	0.000	-0.000	-0.000
ROW7	-0.000	-0.000	0.000	0.000	-0.000	-0.000	1.000	0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW8	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	1.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW9	0.250	0.000	0.125	0.000	0.125	0.000	-0.000	-0.000	0.625	0.000	-0.375	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW10	0.000	0.250	-0.000	0.125	0.000	0.125	-0.000	-0.000	-0.000	0.625	0.000	-0.375	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW11	0.250	0.000	0.125	0.000	0.125	-0.000	0.000	0.000	-0.375	0.000	0.625	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW12	-0.000	0.250	0.000	0.125	-0.000	0.125	0.000	0.000	0.000	-0.375	-0.000	0.625	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW13	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	1.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW14	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	1.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW15	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	1.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW16	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	1.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW17	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	1.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW18	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	1.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW19	-0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	1.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW20	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	1.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW21	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	1.000	0.000	0.000	-0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000
ROW22	0.000	-0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	0.000	1.000	0.000	-0.000	0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.000
ROW23	0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	0.000	0.000	0.000	-0.000	-0.000	1.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW24	0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	0.000	-0.000	0.000	0.000	-0.000	0.000	0.000	1.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000
ROW25	-0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	1.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW26	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	1.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW27	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	1.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW28	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	1.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW29	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	1.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW30	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	1.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW31	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	1.000	0.000	0.000	0.000	-0.000	0.000
ROW32	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	1.000	0.000	0.000	0.000	0.000
ROW33	0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	1.000	0.000	0.000	0.000
ROW34	0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	1.000	0.000	0.000
ROW35	0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	1.000	0.000
ROW36	-0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	1.000

Notice that lg = gl (i.e., lhs*ginvlhs = lhs*ginvlhs)

lg
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	0.500	-0.000	0.250	-0.000	0.250	0.000	-0.000	-0.000	0.250	0.000	0.250	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW2	0.000	0.500	-0.000	0.250	-0.000	0.250	0.000	0.000	-0.000	0.250	-0.000	0.250	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW3	0.250	0.000	0.625	-0.000	-0.375	0.000	-0.000	-0.000	0.125	0.000	0.125	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW4	0.000	0.250	-0.000	0.625	-0.000	-0.375	0.000	0.000	-0.000	0.125	-0.000	0.125	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW5	0.250	-0.000	-0.375	0.000	0.625	-0.000	0.000	0.000	0.125	0.000	0.125	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW6	-0.000	0.250	0.000	-0.375	0.000	0.625	-0.000	-0.000	0.000	0.125	0.000	0.125	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW7	-0.000	-0.000	0.000	0.000	-0.000	-0.000	1.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW8	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	1.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW9	0.250	0.000	0.125	-0.000	0.125	0.000	-0.000	-0.000	0.625	0.000	-0.375	0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW10	0.000	0.250	-0.000	0.125	-0.000	0.125	-0.000	-0.000	-0.000	0.625	0.000	-0.375	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW11	0.250	-0.000	0.125	0.000	0.125	-0.000	0.000	0.000	-0.375	-0.000	0.625	-0.000	-0.000	-0.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW12	0.000	0.250	-0.000	0.125	-0.000	0.125	0.000	0.000	-0.000	-0.375	-0.000	0.625	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW13	-0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	-0.000	1.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW14	-0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	1.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW15	-0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	0.000	1.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW16	-0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.000	1.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW17	-0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	1.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW18	-0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	1.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW19	-0.000	-0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	1.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW20	-0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	1.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW21	-0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	1.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW22	-0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	1.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW23	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.000	1.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	0.000	0.000	0.000
ROW24	-0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	1.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW25	-0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	1.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW26	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	1.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW27	-0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	1.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW28	-0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	1.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW29	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	1.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW30	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	1.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW31	-0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	1.000	0.000	0.000	0.000	0.000	0.000
ROW32	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	1.000	0.000	0.000	0.000	0.000
ROW33	-0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	1.000	0.000	0.000	0.000
ROW34	-0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	1.000	0.000	0.000
ROW35	-0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	1.000	0.000
ROW36	-0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	1.000

Verify that lgl = lhs (i.e., lhs*ginvlhs*lhs = lhs => generalized inverse is correct)

lgl
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	0.734	-0.200	0.351	-0.084	0.382	-0.117	0.416	-0.103	0.311	-0.074	0.423	-0.127	0.100	-0.020	0.174	-0.065	0.125	-0.031	0.125	-0.031	0.125	-0.031	0.086	-0.023	0.292	-0.073	0.249	-0.061	0.043	-0.011	0.000	0.000	0.000	0.000	0.000	-0.000
ROW2	-0.200	0.254	-0.084	0.103	-0.117	0.151	-0.103	0.129	-0.074	0.090	-0.127	0.164	-0.020	0.025	-0.065	0.087	-0.031	0.038	-0.031	0.038	-0.031	0.038	-0.023	0.027	-0.073	0.090	-0.061	0.077	-0.011	0.014	-0.000	0.000	-0.000	-0.000	-0.000	0.000
ROW3	0.351	-0.084	0.242	-0.056	0.109	-0.027	0.219	-0.055	0.227	-0.053	0.125	-0.031	0.100	-0.020	-0.000	-0.000	0.062	-0.015	0.062	-0.015	0.062	-0.015	0.064	-0.017	0.157	-0.039	0.125	-0.031	0.032	-0.009	-0.000	0.000	0.000	0.000	-0.000	-0.000
ROW4	-0.084	0.103	-0.056	0.069	-0.027	0.034	-0.055	0.068	-0.053	0.064	-0.031	0.038	-0.020	0.025	0.000	0.000	-0.015	0.019	-0.015	0.019	-0.015	0.019	-0.017	0.021	-0.039	0.049	-0.031	0.038	-0.009	0.010	-0.000	0.000	0.000	-0.000	-0.000	0.000
ROW5	0.382	-0.117	0.109	-0.027	0.273	-0.090	0.197	-0.049	0.084	-0.021	0.298	-0.096	-0.000	0.000	0.174	-0.065	0.062	-0.015	0.062	-0.015	0.062	-0.015	0.021	-0.006	0.135	-0.033	0.125	-0.031	0.011	-0.003	-0.000	0.000	0.000	0.000	0.000	0.000
ROW6	-0.117	0.151	-0.027	0.034	-0.090	0.117	-0.049	0.061	-0.021	0.026	-0.096	0.125	0.000	-0.000	-0.065	0.087	-0.015	0.019	-0.015	0.019	-0.015	0.019	-0.006	0.007	-0.033	0.042	-0.031	0.038	-0.003	0.003	0.000	-0.000	-0.000	-0.000	-0.000	0.000
ROW7	0.416	-0.103	0.219	-0.055	0.197	-0.049	0.395	-0.098	0.167	-0.042	0.249	-0.061	-0.000	-0.000	-0.000	0.000	0.125	-0.031	0.125	-0.031	0.125	-0.031	0.043	-0.011	0.270	-0.067	0.249	-0.061	0.021	-0.006	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW8	-0.103	0.129	-0.055	0.068	-0.049	0.061	-0.098	0.122	-0.042	0.052	-0.061	0.077	0.000	-0.000	0.000	0.000	-0.031	0.038	-0.031	0.038	-0.031	0.038	-0.011	0.014	-0.067	0.083	-0.061	0.077	-0.006	0.007	-0.000	-0.000	0.000	-0.000	-0.000	-0.000
ROW9	0.311	-0.074	0.227	-0.053	0.084	-0.021	0.167	-0.042	0.311	-0.074	-0.000	0.000	0.100	-0.020	-0.000	-0.000	-0.000	0.000	-0.000	0.000	0.125	-0.031	0.086	-0.023	0.167	-0.042	0.125	-0.031	0.043	-0.011	-0.000	0.000	0.000	0.000	-0.000	-0.000
ROW10	-0.074	0.090	-0.053	0.064	-0.021	0.026	-0.042	0.052	-0.074	0.090	0.000	0.000	-0.020	0.025	0.000	-0.000	0.000	0.000	0.000	0.000	-0.031	0.038	-0.023	0.027	-0.042	0.052	-0.031	0.038	-0.011	0.014	0.000	0.000	0.000	0.000	0.000	0.000
ROW11	0.423	-0.127	0.125	-0.031	0.298	-0.096	0.249	-0.061	-0.000	0.000	0.423	-0.127	-0.000	-0.000	0.174	-0.065	0.125	-0.031	0.125	-0.031	0.000	-0.000	-0.000	-0.000	0.125	-0.031	0.125	-0.031	-0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	0.000
ROW12	-0.127	0.164	-0.031	0.038	-0.096	0.125	-0.061	0.077	0.000	0.000	-0.127	0.164	0.000	-0.000	-0.065	0.087	-0.031	0.038	-0.031	0.038	-0.000	-0.000	-0.000	-0.000	-0.031	0.038	-0.031	0.038	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW13	0.100	-0.020	0.100	-0.020	-0.000	-0.000	0.000	0.000	0.100	-0.020	-0.000	-0.000	0.370	-0.093	0.067	-0.018	0.046	-0.010	-0.097	0.027	-0.134	0.037	-0.093	0.021	0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW14	-0.020	0.025	-0.020	0.025	-0.000	-0.000	0.000	0.000	-0.020	0.025	0.000	-0.000	-0.093	0.103	-0.018	0.018	-0.010	0.013	0.027	-0.023	0.037	-0.035	0.021	-0.025	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW15	0.174	-0.065	-0.000	-0.000	0.174	-0.065	-0.000	-0.000	-0.000	0.000	0.174	-0.065	0.067	-0.018	0.457	-0.143	-0.083	0.023	-0.000	0.000	-0.134	0.037	0.000	0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.000
ROW16	-0.065	0.087	-0.000	-0.000	-0.065	0.087	-0.000	-0.000	-0.000	0.000	-0.065	0.087	-0.018	0.018	-0.143	0.152	0.023	-0.024	0.000	0.000	0.037	-0.035	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW17	0.125	-0.031	0.062	-0.015	0.062	-0.015	0.125	-0.031	-0.000	-0.000	0.125	-0.031	0.046	-0.010	-0.083	0.023	0.336	-0.087	0.000	0.000	-0.000	-0.000	-0.093	0.021	-0.000	-0.000	0.125	-0.031	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW18	-0.031	0.038	-0.015	0.019	-0.015	0.019	-0.031	0.038	0.000	-0.000	-0.031	0.038	-0.010	0.013	0.023	-0.024	-0.087	0.098	0.000	0.000	0.000	0.000	0.021	-0.025	0.000	0.000	-0.031	0.038	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW19	0.125	-0.031	0.062	-0.015	0.062	-0.015	0.125	-0.031	-0.000	0.000	0.125	-0.031	-0.097	0.027	-0.000	-0.000	0.000	-0.000	0.318	-0.084	-0.000	0.000	0.000	0.000	0.125	-0.031	0.000	0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW20	-0.031	0.038	-0.015	0.019	-0.015	0.019	-0.031	0.038	0.000	-0.000	-0.031	0.038	0.027	-0.023	0.000	-0.000	0.000	0.000	-0.084	0.085	0.000	-0.000	-0.000	0.000	-0.031	0.038	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
ROW21	0.125	-0.031	0.062	-0.015	0.062	-0.015	0.125	-0.031	0.125	-0.031	-0.000	-0.000	-0.134	0.037	-0.134	0.037	-0.000	-0.000	-0.000	-0.000	0.392	-0.104	-0.000	-0.000	0.125	-0.031	0.125	-0.031	0.000	0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000
ROW22	-0.031	0.038	-0.015	0.019	-0.015	0.019	-0.031	0.038	-0.031	0.038	0.000	0.000	0.037	-0.035	0.037	-0.035	0.000	0.000	-0.000	-0.000	-0.104	0.109	-0.000	-0.000	-0.031	0.038	-0.031	0.038	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW23	0.086	-0.023	0.064	-0.017	0.021	-0.006	0.043	-0.011	0.086	-0.023	0.000	0.000	-0.093	0.021	0.000	0.000	-0.093	0.021	-0.000	-0.000	0.000	-0.000	0.271	-0.064	0.043	-0.011	-0.000	-0.000	0.043	-0.011	0.000	0.000	0.000	0.000	0.000	0.000
ROW24	-0.023	0.027	-0.017	0.021	-0.006	0.007	-0.011	0.014	-0.023	0.027	-0.000	-0.000	0.021	-0.025	0.000	-0.000	0.021	-0.025	-0.000	-0.000	-0.000	0.000	-0.064	0.078	-0.011	0.014	0.000	0.000	-0.011	0.014	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000
ROW25	0.292	-0.073	0.157	-0.039	0.135	-0.033	0.270	-0.067	0.167	-0.042	0.125	-0.031	-0.000	0.000	-0.000	0.000	-0.000	-0.000	0.125	-0.031	0.125	-0.031	0.043	-0.011	0.676	-0.219	0.211	-0.063	0.108	-0.038	-0.116	0.043	-0.174	0.065	-0.174	0.065
ROW26	-0.073	0.090	-0.039	0.049	-0.033	0.042	-0.067	0.083	-0.042	0.052	-0.031	0.038	0.000	0.000	0.000	-0.000	0.000	0.000	-0.031	0.038	-0.031	0.038	-0.011	0.014	-0.219	0.286	-0.063	0.082	-0.038	0.050	0.043	-0.058	0.065	-0.087	0.065	-0.087
ROW27	0.249	-0.061	0.125	-0.031	0.125	-0.031	0.249	-0.061	0.125	-0.031	0.125	-0.031	0.000	-0.000	0.000	-0.000	0.125	-0.031	-0.000	-0.000	0.125	-0.031	-0.000	0.000	0.211	-0.063	0.568	-0.181	-0.116	0.043	-0.000	-0.000	-0.174	0.065	-0.000	-0.000
ROW28	-0.061	0.077	-0.031	0.038	-0.031	0.038	-0.061	0.077	-0.031	0.038	-0.031	0.038	0.000	0.000	0.000	0.000	-0.031	0.038	0.000	-0.000	-0.031	0.038	-0.000	-0.000	-0.063	0.082	-0.181	0.236	0.043	-0.058	-0.000	-0.000	0.065	-0.087	-0.000	0.000
ROW29	0.043	-0.011	0.032	-0.009	0.011	-0.003	0.021	-0.006	0.043	-0.011	0.000	0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	0.000	-0.000	0.043	-0.011	0.108	-0.038	-0.116	0.043	0.340	-0.125	0.000	0.000	0.000	0.000	-0.174	0.065
ROW30	-0.011	0.014	-0.009	0.010	-0.003	0.003	-0.006	0.007	-0.011	0.014	-0.000	-0.000	-0.000	-0.000	0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.011	0.014	-0.038	0.050	0.043	-0.058	-0.125	0.166	-0.000	-0.000	-0.000	-0.000	0.065	-0.087
ROW31	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	-0.116	0.043	0.000	0.000	0.000	0.000	0.232	-0.087	-0.000	-0.000	-0.000	-0.000
ROW32	0.000	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	-0.000	0.000	0.043	-0.058	-0.000	-0.000	-0.000	-0.000	-0.087	0.116	0.000	0.000	0.000	0.000
ROW33	0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	-0.000	0.000	-0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	0.000	-0.000	0.000	-0.174	0.065	-0.174	0.065	0.000	-0.000	-0.000	-0.000	0.348	-0.130	-0.000	-0.000
ROW34	0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	-0.000	0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	0.000	-0.000	0.000	-0.000	0.065	-0.087	0.065	-0.087	-0.000	-0.000	0.000	0.000	-0.130	0.174	0.000	0.000
ROW35	0.000	0.000	0.000	-0.000	0.000	0.000	-0.000	-0.000	-0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.000	0.000	-0.000	0.000	-0.000	-0.000	0.000	-0.000	-0.174	0.065	-0.000	-0.000	-0.174	0.065	0.000	0.000	0.000	0.000	0.348	-0.130
ROW36	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.000	-0.000	-0.000	-0.000	-0.000	-0.000	0.000	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.065	-0.087	-0.000	0.000	0.065	-0.087	0.000	-0.000	0.000	-0.000	-0.130	0.174

Compute ranklhs = rank of the MME = trace of ginvlhs*lhs

ranklhs
32

Compute yhat = vector of solutions for the MME

yhat
15.50088
133.21356
6.3940859
71.381231
9.1067936
61.832324
3.4454942
8.2696997
11.177092
82.690311
4.3237876
50.523244
-0.179301
0.7880944
0.0685393
-0.569124
0.2045656
-1.559067
-0.274652
1.1924425
0.014705
0.4761102
-0.104925
-1.304071
-0.342017
0.2860482
0.3709011
-0.145977
0.1421249
-0.283095
-0.171009
0.1430241
0.0144419
0.0700355
-0.099946
0.0014765

yhat
15.50
133.21
6.39
71.38
9.11
61.83
3.45
8.27
11.18
82.69
4.32
50.52
-0.18
0.79
0.07
-0.57
0.20
-1.56
-0.27
1.19
0.01
0.48
-0.10
-1.30
-0.34
0.29
0.37
-0.15
0.14
-0.28
-0.17
0.14
0.01
0.07
-0.10
0.00

Compute sesol = standard error of solutions

sesol
1.55
2.90
4.20
7.87
4.13
7.74
4.51
7.51
2.69
4.90
2.59
4.69
3.34
5.80
2.93
6.42
2.86
5.46
2.92
5.56
3.16
6.16
3.26
6.04
2.62
3.81
2.58
3.77
2.76
3.94
2.78
3.95
2.82
4.00
2.81
3.98

Computation of Additive, Nonadditive, and Total Genetic Predictions

Using matrix computations

Define ka = coefficient matrix of direct and maternal additive genetic predictions deviated from B

ka
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	0	0	1	0	-1	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW2	0	0	0	1	0	-1	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW5	0	0	0.5	0	-0.5	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW6	0	0	0	0.5	0	-0.5	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW7	0	0	0.5	0	-0.5	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW8	0	0	0	0.5	0	-0.5	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW9	0	0	0.5	0	-0.5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW10	0	0	0	0.5	0	-0.5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW11	0	0	0.75	0	-0.75	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0
ROW12	0	0	0	0.75	0	-0.75	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0

ka
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	0.00	0.00	1.00	0.00	-1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW2	0.00	0.00	0.00	1.00	0.00	-1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW3	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW4	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW5	0.00	0.00	0.50	0.00	-0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW6	0.00	0.00	0.00	0.50	0.00	-0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW7	0.00	0.00	0.50	0.00	-0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW8	0.00	0.00	0.00	0.50	0.00	-0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW9	0.00	0.00	0.50	0.00	-0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW10	0.00	0.00	0.00	0.50	0.00	-0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW11	0.00	0.00	0.75	0.00	-0.75	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW12	0.00	0.00	0.00	0.75	0.00	-0.75	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00

Compute kagl = ka*ginvlhs*lhs to check if functions in matrix ka are estimable

(kagl = ka if functions in ka are estimable)

kagl
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	0.00	-0.00	1.00	0.00	-1.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	1.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW2	0.00	-0.00	0.00	1.00	-0.00	-1.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	1.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW3	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	1.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW4	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW5	0.00	0.00	0.50	-0.00	-0.50	0.00	-0.00	-0.00	0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW6	0.00	0.00	-0.00	0.50	0.00	-0.50	-0.00	-0.00	0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW7	0.00	-0.00	0.50	-0.00	-0.50	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW8	0.00	0.00	0.00	0.50	0.00	-0.50	-0.00	-0.00	0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	1.00	0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW9	0.00	-0.00	0.50	-0.00	-0.50	-0.00	0.00	-0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	0.00	0.00	1.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	-0.00	0.00	-0.00
ROW10	0.00	-0.00	0.00	0.50	-0.00	-0.50	0.00	0.00	0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	0.00	0.00	-0.00	0.00	-0.00	0.00	1.00	0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	0.00	-0.00
ROW11	0.00	-0.00	0.75	-0.00	-0.75	0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	0.00	-0.00	1.00	0.00	-0.00	0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW12	0.00	-0.00	0.00	0.75	-0.00	-0.75	0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	0.00	-0.00	0.00	-0.00	0.00	1.00	0.00	0.00	0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	-0.00	0.00	-0.00

difkaglka
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW2	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW3	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW4	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW5	0.00	0.00	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW6	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW7	0.00	-0.00	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW8	0.00	0.00	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW9	0.00	-0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	0.00	0.00	0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	-0.00	0.00	-0.00
ROW10	0.00	-0.00	0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	0.00	0.00	-0.00	0.00	-0.00	0.00	-0.00	0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	0.00	-0.00
ROW11	0.00	-0.00	0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	0.00	-0.00	0.00	0.00	-0.00	0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW12	0.00	-0.00	0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	0.00	-0.00	0.00	-0.00	0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	-0.00	0.00	-0.00

Compute uaka = vector of multibreed additive genetic predictions

uaka
-2.89
10.34
0.07
-0.57
-1.15
3.22
-1.63
5.97
-1.34
5.25
-2.14
5.86

Compute vepuaka = matrix of variance of errors of additive genetic predictions

vepuaka
61.69	58.05	10.85	14.11	30.74	30.34	27.72	26.04	41.06	41.03	47.35	45.35
58.05	222.24	14.13	51.76	30.35	115.08	26.01	100.19	41.08	155.58	45.32	172.04
10.85	14.13	8.61	11.26	8.88	11.49	6.05	8.11	9.71	12.65	9.92	12.91
14.11	51.76	11.26	41.23	11.49	42.04	8.10	29.78	12.64	46.32	12.89	47.32
30.74	30.35	8.88	11.49	24.91	25.03	15.54	15.89	22.58	23.81	27.44	27.42
30.34	115.08	11.49	42.04	25.03	92.93	15.88	60.30	23.82	89.22	27.40	102.38
27.72	26.01	6.05	8.10	15.54	15.88	18.78	18.54	19.32	19.59	22.10	21.38
26.04	100.19	8.11	29.78	15.89	60.30	18.54	70.14	19.63	74.52	21.39	81.35
41.06	41.08	9.71	12.64	22.58	23.82	19.32	19.63	32.80	34.54	32.95	33.64
41.03	155.58	12.65	46.32	23.81	89.22	19.59	74.52	34.54	129.24	33.57	126.54
47.35	45.32	9.92	12.89	27.44	27.40	22.10	21.39	32.95	33.57	43.07	41.21
45.35	172.04	12.91	47.32	27.42	102.38	21.38	81.35	33.64	126.54	41.21	157.07

Compute sepuaka = vector of standard errors of additive genetic predictions

sepuaka
7.85
14.91
2.93
6.42
4.99
9.64
4.33
8.37
5.73
11.37
6.56
12.53

Define kn = coefficient matrix of direct and maternal nonadditive genetic predictions

Assume that males will be mated to (1/2A 1/2B) females and viceversa

kn
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	0	0	0	0
ROW2	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	0	0	0
ROW3	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	0	0
ROW4	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	0
ROW5	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0
ROW6	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0
ROW7	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0	0	0
ROW8	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0	0
ROW9	0	0	0	0	0	0	0.5	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	0.5	0	0	0
ROW10	0	0	0	0	0	0	0	0.5	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	0.5	0	0
ROW11	0	0	0	0	0	0	0.5	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	0.5	0
ROW12	0	0	0	0	0	0	0	0.5	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	0.5

kn
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW2	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW3	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW4	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW5	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW6	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00
ROW7	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00
ROW8	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00
ROW9	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00
ROW10	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00
ROW11	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00
ROW12	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50

Compute kngl = kn*ginvlhs*lhs to check if functions in matrix kn are estimable

(kngl = kn if functions in kn are estimable)

kngl
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.50	0.00	-0.00	0.00	-0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.50	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW2	-0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.50	-0.00	0.00	-0.00	0.00	0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	0.50	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00
ROW3	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.50	0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.50	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW4	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.50	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.50	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW5	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.50	0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.50	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW6	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.50	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.50	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW7	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.50	0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.50	-0.00	-0.00	-0.00	-0.00	-0.00
ROW8	-0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.50	-0.00	0.00	-0.00	0.00	0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.50	-0.00	-0.00	-0.00	0.00
ROW9	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.50	0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.50	-0.00	-0.00	-0.00
ROW10	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.50	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.50	-0.00	-0.00
ROW11	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.50	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.50	-0.00
ROW12	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.50	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.50

difknglkn
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	0.00	-0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW2	-0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	0.00	-0.00	0.00	0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00
ROW3	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW4	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW5	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW6	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW7	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW8	-0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	0.00	-0.00	0.00	0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	0.00
ROW9	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW10	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW11	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW12	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00

Compute uakn = vector of multibreed nonadditive genetic predictions

uakn
1.55
4.28
1.91
4.06
1.79
3.99
1.64
4.21
1.73
4.17
1.67
4.14

Compute vepuakn = matrix of variance of errors of nonadditive genetic predictions

vepuakn
3.77	3.18	2.39	2.08	2.95	2.52	3.67	3.09	3.08	2.63	3.36	2.85
3.18	11.77	2.07	8.48	2.51	9.79	3.09	11.45	2.63	10.13	2.84	10.78
2.39	2.07	3.82	3.16	3.75	3.11	3.01	2.54	3.11	2.62	3.07	2.59
2.08	8.48	3.16	11.60	3.11	11.42	2.54	9.78	2.62	10.04	2.59	9.95
2.95	2.51	3.75	3.11	5.48	4.41	3.64	3.03	3.35	2.81	4.21	3.46
2.52	9.79	3.11	11.42	4.41	14.96	3.03	11.19	2.81	10.60	3.46	12.38
3.67	3.09	3.01	2.54	3.64	3.03	5.50	4.45	3.34	2.82	3.65	3.06
3.09	11.45	2.54	9.78	3.03	11.19	4.45	15.03	2.81	10.61	3.06	11.32
3.08	2.63	3.11	2.62	3.35	2.81	3.34	2.81	4.09	3.37	3.22	2.72
2.63	10.13	2.62	10.04	2.81	10.60	2.82	10.61	3.37	12.08	2.72	10.37
3.36	2.84	3.07	2.59	4.21	3.46	3.65	3.06	3.22	2.72	4.79	3.90
2.85	10.78	2.59	9.95	3.46	12.38	3.06	11.32	2.72	10.37	3.90	13.58

Compute sepuakn = vector of standard errors of nonadditive genetic predictions

sepuakn
1.94
3.43
1.95
3.41
2.34
3.87
2.34
3.88
2.02
3.48
2.19
3.68

Define kt = coefficient matrix of total direct and maternal genetic predictions

Assume that males will be mated to (1/2A 1/2B) females and viceversa

kt
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	0	0	1	0	-1	0	0.5	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	0	0	0	0
ROW2	0	0	0	1	0	-1	0	0.5	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	0	0	0
ROW3	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	0	0
ROW4	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0	0
ROW5	0	0	0.5	0	-0.5	0	0.5	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0	0
ROW6	0	0	0	0.5	0	-0.5	0	0.5	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0	0	0	0
ROW7	0	0	0.5	0	-0.5	0	0.5	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0	0	0
ROW8	0	0	0	0.5	0	-0.5	0	0.5	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0	0
ROW9	0	0	0.5	0	-0.5	0	0.5	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0	0
ROW10	0	0	0	0.5	0	-0.5	0	0.5	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0.5	0	0
ROW11	0	0	0.75	0	-0.75	0	0.5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0.5	0
ROW12	0	0	0	0.75	0	-0.75	0	0.5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0.5

kt
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	0.00	0.00	1.00	0.00	-1.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW2	0.00	0.00	0.00	1.00	0.00	-1.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW3	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW4	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW5	0.00	0.00	0.50	0.00	-0.50	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW6	0.00	0.00	0.00	0.50	0.00	-0.50	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00
ROW7	0.00	0.00	0.50	0.00	-0.50	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00
ROW8	0.00	0.00	0.00	0.50	0.00	-0.50	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00
ROW9	0.00	0.00	0.50	0.00	-0.50	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00
ROW10	0.00	0.00	0.00	0.50	0.00	-0.50	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00
ROW11	0.00	0.00	0.75	0.00	-0.75	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00
ROW12	0.00	0.00	0.00	0.75	0.00	-0.75	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50

Compute ktgl = kt*ginvlhs*lhs to check if functions in matrix kt are estimable

(ktgl = kt if functions in kt are estimable)

ktgl
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	0.00	-0.00	1.00	0.00	-1.00	-0.00	0.50	0.00	0.00	-0.00	-0.00	-0.00	1.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.50	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW2	-0.00	-0.00	0.00	1.00	-0.00	-1.00	0.00	0.50	0.00	-0.00	-0.00	-0.00	-0.00	1.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.50	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW3	0.00	0.00	0.00	-0.00	0.00	0.00	0.50	-0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	1.00	-0.00	0.00	0.00	0.00	0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW4	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	0.50	-0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW5	0.00	0.00	0.50	-0.00	-0.50	0.00	0.50	-0.00	0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW6	0.00	0.00	-0.00	0.50	0.00	-0.50	-0.00	0.50	0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	1.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00	0.00	0.00
ROW7	-0.00	-0.00	0.50	-0.00	-0.50	0.00	0.50	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	1.00	0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	-0.00	-0.00	0.00
ROW8	0.00	0.00	0.00	0.50	0.00	-0.50	-0.00	0.50	0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	1.00	0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.50	0.00	0.00	0.00	0.00
ROW9	0.00	-0.00	0.50	0.00	-0.50	-0.00	0.50	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	1.00	-0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.50	-0.00	-0.00	-0.00
ROW10	0.00	-0.00	0.00	0.50	-0.00	-0.50	0.00	0.50	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	1.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.50	-0.00	-0.00
ROW11	0.00	-0.00	0.75	-0.00	-0.75	0.00	0.50	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.00	1.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	0.50	0.00
ROW12	0.00	-0.00	0.00	0.75	-0.00	-0.75	0.00	0.50	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	0.00	1.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.50

difktglkt
	COL1	COL2	COL3	COL4	COL5	COL6	COL7	COL8	COL9	COL10	COL11	COL12	COL13	COL14	COL15	COL16	COL17	COL18	COL19	COL20	COL21	COL22	COL23	COL24	COL25	COL26	COL27	COL28	COL29	COL30	COL31	COL32	COL33	COL34	COL35	COL36
ROW1	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW2	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00
ROW3	0.00	0.00	0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW4	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW5	0.00	0.00	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW6	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW7	-0.00	-0.00	0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00
ROW8	0.00	0.00	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW9	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00
ROW10	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00
ROW11	0.00	-0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	0.00	0.00	0.00	0.00	0.00
ROW12	0.00	-0.00	0.00	0.00	-0.00	-0.00	0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	0.00	0.00	-0.00	-0.00	-0.00	0.00	-0.00	0.00	-0.00	0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	-0.00	0.00	-0.00	-0.00	-0.00

Compute uakt = vector of multibreed total genetic predictions

uakt
-1.34
14.61
1.98
3.49
0.64
7.21
0.01
10.17
0.39
9.42
-0.47
9.99

Compute vepuakt = matrix of variance of errors of total genetic predictions

vepuakt
60.84	58.12	11.06	14.81	28.71	29.08	25.29	24.28	39.48	40.09	45.77	44.65
58.12	213.02	14.72	50.78	29.03	104.33	24.30	88.12	40.07	145.51	44.58	162.03
11.06	14.72	12.95	15.19	9.62	12.23	7.83	9.76	10.60	13.47	10.56	13.71
14.81	50.78	15.19	56.12	12.28	43.80	9.77	33.85	13.51	47.99	13.76	48.42
28.71	29.03	9.62	12.28	23.32	23.65	14.24	14.82	20.73	22.27	25.36	25.88
29.08	104.33	12.23	43.80	23.65	84.35	14.83	52.46	22.27	79.84	25.89	92.46
25.29	24.30	7.83	9.77	14.24	14.83	18.36	17.89	17.73	18.24	20.12	19.91
24.28	88.12	9.76	33.85	14.82	52.46	17.89	63.12	18.23	65.51	19.89	71.44
39.48	40.07	10.60	13.51	20.73	22.27	17.73	18.23	32.15	33.85	31.24	32.37
40.09	145.51	13.47	47.99	22.27	79.84	18.24	65.51	33.85	121.90	32.34	117.16
45.77	44.58	10.56	13.76	25.36	25.89	20.12	19.89	31.24	32.34	42.03	40.69
44.65	162.03	13.71	48.42	25.88	92.46	19.91	71.44	32.37	117.16	40.69	148.97

Compute sepuakt = vector of standard errors of total genetic predictions

sepuakt
7.80
14.60
3.60
7.49
4.83
9.18
4.29
7.94
5.67
11.04
6.48
12.21

vnf
8	6	0	0	0	0	0	0	0	0	0	0
6	16	0	0	0	0	0	0	0	0	0	0
0	0	8	6	0	0	0	0	0	0	0	0
0	0	6	16	0	0	0	0	0	0	0	0
0	0	0	0	8	6	0	0	0	0	0	0
0	0	0	0	6	16	0	0	0	0	0	0
0	0	0	0	0	0	8	6	0	0	0	0
0	0	0	0	0	0	6	16	0	0	0	0
0	0	0	0	0	0	0	0	8	6	0	0
0	0	0	0	0	0	0	0	6	16	0	0
0	0	0	0	0	0	0	0	0	0	8	6
0	0	0	0	0	0	0	0	0	0	6	16

dnf
8	6	0	0	0	0	0	0	0	0	0	0
6	16	0	0	0	0	0	0	0	0	0	0
0	0	8	6	0	0	0	0	0	0	0	0
0	0	6	16	0	0	0	0	0	0	0	0
0	0	0	0	6	4.5	0	0	0	0	0	0
0	0	0	0	4.5	12	0	0	0	0	0	0
0	0	0	0	0	0	6	4.5	0	0	0	0
0	0	0	0	0	0	4.5	12	0	0	0	0
0	0	0	0	0	0	0	0	4	3	0	0
0	0	0	0	0	0	0	0	3	8	0	0
0	0	0	0	0	0	0	0	0	0	4	3
0	0	0	0	0	0	0	0	0	0	3	8

vnf
8	6	0	0	0	0	0	0	0	0	0	0
6	16	0	0	0	0	0	0	0	0	0	0
0	0	8	6	0	0	0	0	0	0	0	0
0	0	6	16	0	0	0	0	0	0	0	0
0	0	0	0	8	6	0	0	0	0	0	0
0	0	0	0	6	16	0	0	0	0	0	0
0	0	0	0	0	0	8	6	0	0	0	0
0	0	0	0	0	0	6	16	0	0	0	0
0	0	0	0	0	0	0	0	8	6	0	0
0	0	0	0	0	0	0	0	6	16	0	0
0	0	0	0	0	0	0	0	0	0	8	6
0	0	0	0	0	0	0	0	0	0	6	16

dnf
8	6	0	0	0	0	0	0	0	0	0	0
6	16	0	0	0	0	0	0	0	0	0	0
0	0	8	6	0	0	0	0	0	0	0	0
0	0	6	16	0	0	0	0	0	0	0	0
0	0	0	0	6	4.5	0	0	0	0	0	0
0	0	0	0	4.5	12	0	0	0	0	0	0
0	0	0	0	0	0	6	4.5	0	0	0	0
0	0	0	0	0	0	4.5	12	0	0	0	0
0	0	0	0	0	0	0	0	4	3	0	0
0	0	0	0	0	0	0	0	3	8	0	0
0	0	0	0	0	0	0	0	0	0	4	3
0	0	0	0	0	0	0	0	0	0	3	8

vnf
8	6	0	0	0	0	0	0	0	0	0	0
6	16	0	0	0	0	0	0	0	0	0	0
0	0	8	6	0	0	0	0	0	0	0	0
0	0	6	16	0	0	0	0	0	0	0	0
0	0	0	0	8	6	0	0	0	0	0	0
0	0	0	0	6	16	0	0	0	0	0	0
0	0	0	0	0	0	8	6	0	0	0	0
0	0	0	0	0	0	6	16	0	0	0	0
0	0	0	0	0	0	0	0	8	6	0	0
0	0	0	0	0	0	0	0	6	16	0	0
0	0	0	0	0	0	0	0	0	0	8	6
0	0	0	0	0	0	0	0	0	0	6	16

dnf
8	6	0	0	0	0	0	0	0	0	0	0
6	16	0	0	0	0	0	0	0	0	0	0
0	0	8	6	0	0	0	0	0	0	0	0
0	0	6	16	0	0	0	0	0	0	0	0
0	0	0	0	6	4.5	0	0	0	0	0	0
0	0	0	0	4.5	12	0	0	0	0	0	0
0	0	0	0	0	0	6	4.5	0	0	0	0
0	0	0	0	0	0	4.5	12	0	0	0	0
0	0	0	0	0	0	0	0	4	3	0	0
0	0	0	0	0	0	0	0	3	8	0	0
0	0	0	0	0	0	0	0	0	0	4	3
0	0	0	0	0	0	0	0	0	0	3	8