Appendix to the paper
Bozóki, S., Gál, P., Marosi, I., Weakley, W.D. (2019): Domination of the rectangular queen's graph, The Electronic Journal of Combinatorics 26(4) #P4.45

Sets of 8 queens that dominate the 14×15 chessboard

There are 60 different solutions; this file contains 60 of them.
Number of Orthodox Cover solutions is: 38.
Number of Centrally strong sets is: 2.
Number of expandable sets is: 0.

A dominating set is expandable if it covers a larger board than the one given.

Legend:
Sym (H) denotes reflection symmetry across the horizontal bisector.
Sym (V) denotes reflection symmetry across the vertical bisector.
Sym (C) denotes central symmetry about the center of the board.
Sym (D+) denotes reflection symmetry across the diagonal from lower left corner of the board.
Sym (D-) denotes reflection symmetry across the diagonal from top left corner of the board.
Sym (90) denotes 90 degree rotational symmetry about the center of the board.
The Sym (.) strings are printed without space next to the tables to help searching the solutions.

Δ denotes the absolute value of the difference of the number of queens on dark squares and of the ones on light squares.

14
13											♕
12
11							♕
10
9			♕
8
7													♕
6
5									♕
4
3					♕
2
1	♕														♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #1

Δ=8
No symmetries
Orthodox cover

14
13									♕
12
11			♕
10
9											♕
8
7					♕
6
5													♕
4
3							♕
2
1	♕														♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #2

Δ=8
No symmetries
Orthodox cover

14					♕
13										♕
12
11
10				♕
9
8
7													♕
6
5
4							♕
3					♕
2															♕
1	♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #3

Δ=0
No symmetries

14					♕
13							♕
12
11
10													♕
9
8
7				♕
6
5
4										♕
3					♕
2															♕
1	♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #4

Δ=0
No symmetries

14
13
12
11			♕
10									♕
9							♕
8										♕
7								♕
6			♕
5
4
3
2															♕
1	♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #5

Δ=0
No symmetries

14
13
12
11			♕
10								♕
9										♕
8							♕
7									♕
6			♕
5
4
3
2															♕
1	♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #6

Δ=0
No symmetries

14
13											♕
12
11			♕
10
9					♕
8
7									♕						♕
6
5													♕
4
3							♕
2
1	♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #7

Δ=8
No symmetries
Orthodox cover

14
13					♕
12
11													♕
10
9							♕
8
7			♕												♕
6
5									♕
4
3											♕
2
1	♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #8

Δ=8
No symmetries
Orthodox cover

14
13					♕
12
11
10															♕
9								♕
8						♕
7									♕
6							♕
5										♕
4
3
2
1	♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #9

Δ=0
No symmetries

14
13					♕
12
11
10															♕
9							♕
8									♕
7						♕
6								♕
5										♕
4
3
2
1	♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #10

Δ=0
No symmetries

14
13											♕
12
11			♕
10					♕
9
8
7														♕
6
5
4								♕
3															♕
2	♕
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #11

Δ=0
No symmetries

14
13								♕
12
11			♕
10														♕
9
8
7					♕
6
5
4											♕
3															♕
2	♕
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #12

Δ=0
No symmetries

14										♕
13
12
11				♕
10
9
8													♕
7
6										♕
5							♕
4
3															♕
2	♕
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #13

Δ=0
No symmetries

14							♕
13
12
11													♕
10
9
8				♕
7
6										♕
5										♕
4
3															♕
2	♕
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #14

Δ=0
No symmetries

14
13
12
11								♕
10										♕
9									♕
8							♕
7									♕
6
5
4
3	♕
2															♕
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #15

Δ=0
No symmetries

14
13
12
11								♕
10						♕
9									♕
8							♕							♕
7
6
5
4
3	♕
2															♕
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #16

Δ=0
No symmetries

14
13
12
11							♕
10									♕
9						♕
8								♕						♕
7
6
5
4
3	♕
2															♕
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #17

Δ=0
No symmetries

14
13												♕
12
11								♕
10							♕
9				♕
8
7														♕
6
5										♕
4
3						♕
2
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #18

Δ=8
No symmetries
Orthodox cover

14
13				♕								♕
12
11								♕
10
9				♕
8
7														♕
6
5										♕
4
3						♕
2
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #19

Δ=8
No symmetries
Orthodox cover

14
13										♕
12
11				♕
10	♕
9								♕
8
7												♕
6
5														♕
4
3						♕
2
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #20

Δ=8
No symmetries
Orthodox cover

14
13										♕
12
11				♕
10
9												♕
8
7						♕
6											♕
5														♕
4
3								♕
2
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #21

Δ=8
No symmetries
Orthodox cover

14
13										♕
12
11				♕		♕
10
9												♕
8
7						♕
6
5														♕
4
3								♕
2
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #22

Δ=8
No symmetries
Orthodox cover

14
13								♕
12
11														♕
10							♕
9						♕
8
7												♕
6
5				♕
4
3										♕
2
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #23

Δ=8
No symmetries
Orthodox cover

14
13				♕				♕
12
11														♕
10
9						♕
8
7												♕
6
5				♕
4
3										♕
2
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #24

Δ=8
No symmetries
Orthodox cover

14
13								♕
12
11				♕
10							♕
9												♕
8
7						♕
6
5														♕
4
3										♕
2
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #25

Δ=8
No symmetries
Orthodox cover

14
13						♕
12
11								♕
10	♕
9														♕
8
7										♕
6
5				♕
4
3												♕
2
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #26

Δ=8
No symmetries
Orthodox cover

14
13						♕
12
11										♕
10
9														♕
8
7				♕
6											♕
5								♕
4
3												♕
2
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #27

Δ=8
No symmetries
Orthodox cover

14
13						♕
12
11						♕				♕
10
9														♕
8
7				♕
6
5								♕
4
3												♕
2
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #28

Δ=8
No symmetries
Orthodox cover

14
13						♕
12
11										♕
10							♕
9				♕
8
7														♕
6
5								♕
4
3												♕
2
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #29

Δ=8
No symmetries
Orthodox cover

14
13										♕
12
11				♕
10
9						♕
8
7												♕
6					♕
5								♕
4
3														♕
2
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #30

Δ=8
No symmetries
Orthodox cover

14
13				♕
12
11										♕
10
9						♕
8			♕
7												♕
6
5								♕
4
3														♕
2
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #31

Δ=8
No symmetries
Orthodox cover

14
13				♕
12
11								♕
10
9												♕
8			♕
7						♕
6
5										♕
4
3														♕
2
1		♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #32

Δ=8
No symmetries
Orthodox cover

14
13											♕
12
11							♕
10
9	♕
8
7															♕
6
5					♕				♕
4
3													♕
2
1			♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #33

Δ=8
No symmetries
Orthodox cover

14
13								♕
12
11								♕				♕
10
9		♕
8
7						♕
6
5										♕
4
3														♕
2
1				♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #34

Δ=8
No symmetries
Orthodox cover

14
13													♕
12
11							♕
10
9	♕
8
7															♕
6
5									♕		♕
4
3			♕
2
1					♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #35

Δ=8
No symmetries
Orthodox cover

14
13									♕
12
11															♕
10
9	♕
8
7							♕
6
5											♕		♕
4
3			♕
2
1					♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #36

Δ=8
No symmetries
Orthodox cover

14
13													♕
12
11			♕
10
9									♕
8
7															♕
6
5	♕										♕
4
3							♕
2
1					♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #37

Δ=8
No symmetries
Orthodox cover

14
13													♕
12
11			♕				♕
10
9	♕
8
7															♕
6
5											♕
4
3									♕
2
1					♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #38

Δ=8
No symmetries
Orthodox cover

14
13			♕
12
11											♕		♕
10
9							♕
8
7	♕
6
5															♕
4
3									♕
2
1					♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #39

Δ=8
No symmetries
Orthodox cover

14
13													♕
12
11							♕
10
9	♕
8
7									♕						♕
6
5			♕
4
3											♕
2
1					♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #40

Δ=8
No symmetries
Orthodox cover

14
13			♕										♕
12
11							♕
10
9	♕
8
7															♕
6
5									♕
4
3											♕
2
1					♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #41

Δ=8
No symmetries
Orthodox cover

14
13			♕						♕
12
11															♕
10
9	♕
8
7							♕
6
5													♕
4
3											♕
2
1					♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #42

Δ=8
No symmetries
Orthodox cover

14
13							♕
12
11	♕										♕
10
9															♕
8
7									♕
6
5			♕
4
3													♕
2
1					♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #43

Δ=8
No symmetries
Orthodox cover

14
13			♕
12
11									♕		♕
10
9															♕
8
7	♕
6
5							♕
4
3													♕
2
1					♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #44

Δ=8
No symmetries
Orthodox cover

14
13
12				♕
11										♕
10								♕
9						♕
8									♕
7							♕
6															♕
5
4
3
2
1					♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #45

Δ=0
No symmetries

14
13
12				♕
11										♕
10							♕
9									♕
8						♕
7								♕
6															♕
5
4
3
2
1					♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #46

Δ=0
No symmetries

14
13		♕
12					♕
11												♕
10
9								♕
8
7				♕
6
5														♕
4
3										♕
2
1						♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #47

Δ=8
No symmetries
Orthodox cover

14
13														♕
12											♕
11								♕
10
9		♕
8
7										♕
6
5				♕
4
3												♕
2
1						♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #48

Δ=8
No symmetries
Orthodox cover

14
13											♕
12
11	♕				♕
10
9													♕
8
7									♕
6
5															♕
4
3			♕
2
1							♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #49

Δ=8
No symmetries
Orthodox cover

14
13											♕		♕
12
11	♕
10
9			♕
8
7									♕
6
5															♕
4
3					♕
2
1							♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #50

Δ=8
No symmetries
Orthodox cover

14
13			♕
12
11													♕
10
9									♕
8
7	♕				♕
6
5															♕
4
3											♕
2
1							♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #51

Δ=8
No symmetries
Orthodox cover

14
13											♕
12
11	♕
10
9			♕
8
7									♕
6
5					♕										♕
4
3													♕
2
1							♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #52

Δ=8
No symmetries
Orthodox cover

14
13								♕				♕
12
11		♕
10
9						♕
8
7										♕
6
5														♕
4
3				♕
2
1								♕
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #53

Δ=8
No symmetries
Orthodox cover

14
13
12
11
10															♕
9								♕
8						♕
7					♕				♕
6							♕
5										♕
4				♕
3
2
1
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #54

Δ=0
No symmetries

14
13
12
11
10															♕
9							♕
8									♕
7					♕	♕
6								♕
5										♕
4				♕
3
2
1
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #55

Δ=0
No symmetries

14
13
12
11
10								♕	♕
9						♕
8									♕
7							♕
6										♕
5							♕	♕
4
3
2
1
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #56

Δ=0
Symmetries: Sym(C)
Strict centrally strong set

14
13
12
11
10							♕		♕
9									♕
8						♕
7								♕
6										♕
5							♕	♕
4
3
2
1
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #57

Δ=0
No symmetries
Strict centrally strong set

14
13
12
11
10									♕
9						♕
8						♕		♕
7										♕	♕
6							♕
5							♕
4
3
2
1
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #58

Δ=0
No symmetries

14
13
12
11
10							♕
9										♕
8						♕		♕
7						♕					♕
6									♕
5							♕
4
3
2
1
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #59

Δ=0
No symmetries

14
13
12
11
10								♕
9						♕
8									♕		♕
7						♕	♕
6										♕
5							♕
4
3
2
1
	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15

Solution #60

Δ=0
No symmetries