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On this page are computer-accessible forms for the graph C4[ 104, 11 ] = SDD(W(13,2)).

(I) Following is a form readable by MAGMA:

g:=Graph<104|{ {34, 63}, {33, 63}, {32, 63}, {30, 62}, {28, 61}, {31, 62}, {29, 63}, {29, 62}, {24, 60}, {26, 62}, {25, 60}, {27, 61}, {26, 61}, {18, 58}, {20, 60}, {16, 57}, {19, 58}, {17, 59}, {23, 61}, {17, 58}, {23, 60}, {22, 59}, {21, 59}, {20, 59}, {6, 54}, {8, 56}, {4, 53}, {7, 54}, {5, 55}, {11, 57}, {5, 54}, {11, 56}, {1, 53}, {14, 58}, {12, 56}, {13, 56}, {3, 53}, {15, 57}, {1, 54}, {14, 57}, {2, 53}, {10, 55}, {9, 55}, {8, 55}, {3, 67}, {23, 87}, {21, 85}, {39, 103}, {20, 85}, {41, 104}, {23, 86}, {20, 86}, {26, 88}, {36, 102}, {2, 65}, {22, 85}, {16, 83}, {7, 68}, {6, 66}, {17, 85}, {29, 89}, {33, 101}, {17, 84}, {29, 88}, {34, 103}, {18, 84}, {30, 88}, {19, 84}, {31, 88}, {12, 68}, {4, 78}, {15, 69}, {9, 67}, {4, 79}, {13, 70}, {28, 87}, {3, 79}, {47, 99}, {46, 98}, {45, 97}, {44, 96}, {27, 87}, {2, 79}, {47, 98}, {45, 96}, {26, 87}, {37, 104}, {1, 79}, {24, 86}, {10, 69}, {46, 97}, {25, 86}, {15, 95}, {24, 72}, {1, 80}, {12, 94}, {21, 71}, {27, 73}, {25, 74}, {52, 103}, {48, 99}, {31, 76}, {5, 81}, {51, 103}, {50, 102}, {49, 101}, {48, 100}, {18, 70}, {9, 93}, {30, 74}, {5, 80}, {51, 102}, {49, 100}, {10, 95}, {6, 80}, {7, 80}, {50, 101}, {16, 71}, {28, 75}, {9, 81}, {11, 83}, {2, 91}, {11, 82}, {8, 81}, {7, 94}, {6, 92}, {14, 84}, {8, 82}, {10, 81}, {19, 72}, {15, 83}, {52, 104}, {14, 83}, {3, 93}, {12, 82}, {13, 82}, {22, 73}, {32, 64}, {35, 65}, {35, 64}, {36, 64}, {38, 66}, {37, 64}, {39, 65}, {47, 73}, {46, 72}, {38, 65}, {47, 72}, {41, 78}, {36, 76}, {42, 67}, {46, 71}, {44, 69}, {33, 75}, {45, 71}, {44, 70}, {39, 77}, {40, 66}, {37, 78}, {45, 70}, {41, 66}, {40, 67}, {4, 104}, {13, 96}, {42, 68}, {43, 69}, {34, 77}, {43, 68}, {16, 97}, {19, 98}, {18, 96}, {44, 95}, {21, 97}, {43, 95}, {42, 94}, {40, 92}, {22, 99}, {43, 94}, {41, 92}, {40, 93}, {42, 93}, {27, 99}, {33, 89}, {35, 91}, {28, 101}, {52, 77}, {50, 75}, {48, 73}, {31, 102}, {32, 89}, {35, 90}, {24, 98}, {52, 78}, {49, 75}, {48, 74}, {30, 100}, {32, 90}, {38, 92}, {34, 89}, {49, 74}, {39, 91}, {25, 100}, {38, 91}, {36, 90}, {51, 77}, {50, 76}, {37, 90}, {51, 76} }>;

(II) A more general form is to represent the graph as the orbit of {34, 63} under the group generated by the following permutations:

a: (2, 5)(3, 6)(4, 7)(8, 35)(9, 38)(10, 39)(11, 32)(12, 37)(13, 36)(14, 29)(15, 34)(16, 33)(17, 26)(18, 31)(19, 30)(20, 23)(21, 28)(22, 27)(24, 25)(41, 42)(43, 52)(44, 51)(45, 50)(46, 49)(47, 48)(53, 54)(55, 65)(56, 64)(57, 63)(58, 62)(59, 61)(66, 67)(68, 78)(69, 77)(70, 76)(71, 75)(72, 74)(79, 80)(81, 91)(82, 90)(83, 89)(84, 88)(85, 87)(92, 93)(94, 104)(95, 103)(96, 102)(97, 101)(98, 100)
b: (11, 13)(14, 18)(15, 44)(16, 45)(57, 70)(83, 96)
c: (69, 95)
d: (76, 102)
e: (78, 104)
f: (77, 103)
g: (67, 93)
h: (32, 34)(35, 39)(36, 51)(37, 52)(64, 77)(90, 103)
m: (68, 94)
n1: (20, 22)(23, 27)(24, 47)(25, 48)(60, 73)(86, 99)
a1: (73, 99)
b1: (53, 79)
c1: (74, 100)
d1: (66, 92)
e1: (72, 98)
f1: (8, 10)(11, 15)(12, 43)(13, 44)(56, 69)(82, 95)
g1: (17, 19)(20, 24)(21, 46)(22, 47)(59, 72)(85, 98)
h1: (26, 28)(29, 33)(30, 49)(31, 50)(62, 75)(88, 101)
m1: (70, 96)
n2: (71, 97)
a2: (1, 2, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8, 5)(3, 38, 37, 34, 31, 28, 25, 22, 19, 16, 13, 10, 7)(4, 39, 36, 33, 30, 27, 24, 21, 18, 15, 12, 9, 6)(40, 41, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42)(53, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54)(66, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67)(79, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80)(92, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93)
b2: (54, 80)
c2: (75, 101)
d2: (23, 25)(26, 30)(27, 48)(28, 49)(61, 74)(87, 100)
e2: (29, 31)(32, 36)(33, 50)(34, 51)(63, 76)(89, 102)
f2: (2, 4)(35, 37)(38, 41)(39, 52)(65, 78)(91, 104)
g2: (14, 16)(17, 21)(18, 45)(19, 46)(58, 71)(84, 97)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 104, 11 ]
104
-1 79 80 53 54
-2 79 91 53 65
-3 67 79 93 53
-4 78 79 104 53
-5 55 80 81 54
-6 66 80 92 54
-7 68 80 94 54
-8 55 56 81 82
-9 55 67 81 93
-10 55 69 81 95
-11 56 57 82 83
-12 56 68 82 94
-13 56 70 82 96
-14 57 58 83 84
-15 57 69 83 95
-16 57 71 83 97
-17 58 59 84 85
-18 58 70 84 96
-19 58 72 84 98
-20 59 60 85 86
-21 59 71 85 97
-22 99 59 73 85
-23 60 61 86 87
-24 60 72 86 98
-25 100 60 74 86
-26 88 61 62 87
-27 99 61 73 87
-28 101 61 75 87
-29 88 89 62 63
-30 88 100 62 74
-31 88 102 62 76
-32 89 90 63 64
-33 89 101 63 75
-34 77 89 103 63
-35 90 91 64 65
-36 90 102 64 76
-37 78 90 104 64
-38 66 91 92 65
-39 77 91 103 65
-40 66 67 92 93
-41 66 78 92 104
-42 67 68 93 94
-43 68 69 94 95
-44 69 70 95 96
-45 70 71 96 97
-46 71 72 97 98
-47 99 72 73 98
-48 99 100 73 74
-49 100 101 74 75
-50 101 102 75 76
-51 77 102 103 76
-52 77 78 103 104
-53 1 2 3 4
-54 1 5 6 7
-55 5 8 9 10
-56 11 12 13 8
-57 11 14 15 16
-58 14 17 18 19
-59 22 17 20 21
-60 23 24 25 20
-61 23 26 27 28
-62 26 29 30 31
-63 33 34 29 32
-64 35 36 37 32
-65 2 35 38 39
-66 38 6 40 41
-67 3 40 9 42
-68 12 7 42 43
-69 44 15 10 43
-70 44 45 13 18
-71 45 46 16 21
-72 24 46 47 19
-73 22 47 48 27
-74 25 48 49 30
-75 33 49 28 50
-76 36 50 51 31
-77 34 39 51 52
-78 4 37 41 52
-79 1 2 3 4
-80 1 5 6 7
-81 5 8 9 10
-82 11 12 13 8
-83 11 14 15 16
-84 14 17 18 19
-85 22 17 20 21
-86 23 24 25 20
-87 23 26 27 28
-88 26 29 30 31
-89 33 34 29 32
-90 35 36 37 32
-91 2 35 38 39
-92 38 6 40 41
-93 3 40 9 42
-94 12 7 42 43
-95 44 15 10 43
-96 44 45 13 18
-97 45 46 16 21
-98 24 46 47 19
-99 22 47 48 27
-100 25 48 49 30
-101 33 49 28 50
-102 36 50 51 31
-103 34 39 51 52
-104 4 37 41 52
0

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