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On this page are computer-accessible forms for the graph C4[ 100, 9 ] = PL(Br(10,5;2)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {48, 61} under the group generated by the following permutations:

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

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