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On this page are computer-accessible forms for the graph C4[ 104, 10 ] = PL(Br(4,13;5)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {40, 56} under the group generated by the following permutations:

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

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

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