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On this page are computer-accessible forms for the graph C4[ 104, 13 ] = SDD(BC_13(0,1,3,9)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {44, 63} under the group generated by the following permutations:

a: (57, 83)
b: (74, 100)
c: (2, 3, 4)(5, 10, 35, 21, 13, 38)(6, 12, 34, 23, 16, 39)(7, 11, 33, 22, 14, 37)(8, 9, 36, 24, 15, 40)(18, 19)(25, 47, 31, 26, 48, 32)(27, 46, 30)(28, 45, 29)(41, 49)(42, 52, 43, 50, 44, 51)(54, 55, 61, 58, 56, 62)(59, 64, 60)(63, 65)(67, 69, 75)(68, 77, 74, 72, 78, 76)(70, 71)(80, 81, 87, 84, 82, 88)(85, 90, 86)(89, 91)(93, 95, 101)(94, 103, 100, 98, 104, 102)(96, 97)
d: (60, 86)
e: (65, 91)
f: (1, 2, 3)(5, 10, 17)(6, 11, 18)(7, 9, 19)(8, 12, 20)(13, 49, 21)(14, 50, 22)(15, 52, 24)(16, 51, 23)(25, 37, 33)(26, 40, 34)(27, 39, 36)(28, 38, 35)(29, 41, 45)(30, 43, 47)(31, 42, 48)(32, 44, 46)(54, 55, 57)(56, 65, 58)(59, 62, 61)(60, 63, 64)(66, 67, 69)(68, 71, 70)(72, 78, 74)(73, 76, 77)(80, 81, 83)(82, 91, 84)(85, 88, 87)(86, 89, 90)(92, 93, 95)(94, 97, 96)(98, 104, 100)(99, 102, 103)
g: (61, 87)
h: (2, 49, 4, 17, 3, 41)(5, 50, 28, 20, 29, 43)(6, 25, 27, 30, 32, 8)(7, 9, 26, 46, 31, 39)(10, 42, 45, 51, 38, 18)(11, 15, 47, 24, 40, 33)(12, 23, 48, 34, 37, 14)(13, 44, 21, 52, 35, 19)(16, 36, 22)(53, 66)(54, 68, 59, 73, 60, 76)(55, 72, 64, 74, 62, 70)(56, 77, 58, 78, 61, 71)(57, 69, 63, 67, 65, 75)(79, 92)(80, 94, 85, 99, 86, 102)(81, 98, 90, 100, 88, 96)(82, 103, 84, 104, 87, 97)(83, 95, 89, 93, 91, 101)
m: (69, 95)
n1: (67, 93)
a1: (3, 4)(6, 8)(9, 39)(10, 38)(11, 37)(12, 40)(13, 35)(14, 33)(15, 34)(16, 36)(23, 24)(25, 32)(26, 31)(27, 30)(28, 29)(41, 49)(42, 51)(43, 50)(44, 52)(47, 48)(55, 62)(56, 61)(59, 60)(63, 65)(68, 76)(69, 75)(72, 74)(77, 78)(81, 88)(82, 87)(85, 86)(89, 91)(94, 102)(95, 101)(98, 100)(103, 104)
b1: (56, 82)
c1: (73, 99)
d1: (53, 79)
e1: (76, 102)
f1: (70, 96)
g1: (64, 90)
h1: (3, 4)(9, 25)(10, 28)(11, 27)(12, 26)(13, 35)(14, 33)(15, 36)(16, 34)(19, 20)(21, 45)(22, 46)(23, 47)(24, 48)(29, 38)(30, 37)(31, 40)(32, 39)(42, 44)(51, 52)(55, 59)(56, 61)(58, 64)(60, 62)(69, 75)(71, 73)(72, 77)(74, 78)(81, 85)(82, 87)(84, 90)(86, 88)(95, 101)(97, 99)(98, 103)(100, 104)
m1: (75, 101)
n2: (62, 88)
a2: (58, 84)
b2: (3, 4)(7, 8)(9, 25)(10, 28)(11, 26)(12, 27)(13, 38)(14, 39)(15, 37)(16, 40)(17, 41)(18, 43)(19, 42)(20, 44)(22, 23)(29, 35)(30, 36)(31, 34)(32, 33)(46, 47)(55, 59)(56, 62)(57, 63)(60, 61)(69, 75)(70, 76)(71, 72)(73, 77)(81, 85)(82, 88)(83, 89)(86, 87)(95, 101)(96, 102)(97, 98)(99, 103)
c2: (63, 89)
d2: (78, 104)
e2: (55, 81)
f2: (72, 98)
g2: (66, 92)
h2: (59, 85)
m2: (68, 94)

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

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