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On this page are computer-accessible forms for the graph C4[ 120, 30 ] = PL(Br(12,5;2)).

(I) Following is a form readable by MAGMA:

g:=Graph<120|{ {57, 61}, {56, 61}, {12, 63}, {11, 63}, {6, 62}, {7, 63}, {6, 63}, {7, 62}, {1, 61}, {2, 62}, {1, 62}, {2, 61}, {40, 104}, {56, 120}, {41, 105}, {40, 105}, {54, 119}, {8, 74}, {53, 119}, {14, 76}, {8, 75}, {15, 76}, {41, 106}, {15, 75}, {60, 120}, {50, 118}, {45, 105}, {35, 103}, {14, 75}, {50, 119}, {28, 90}, {29, 91}, {28, 91}, {45, 106}, {29, 90}, {18, 88}, {19, 89}, {11, 64}, {19, 88}, {18, 89}, {35, 104}, {5, 73}, {22, 90}, {12, 64}, {7, 75}, {4, 73}, {53, 120}, {23, 90}, {7, 74}, {4, 74}, {54, 120}, {23, 89}, {39, 105}, {5, 74}, {22, 89}, {39, 104}, {16, 64}, {60, 108}, {17, 65}, {36, 116}, {16, 65}, {60, 109}, {17, 64}, {34, 115}, {36, 117}, {28, 78}, {33, 115}, {28, 79}, {2, 86}, {52, 96}, {27, 79}, {25, 77}, {22, 66}, {21, 65}, {12, 88}, {3, 86}, {56, 109}, {53, 96}, {27, 78}, {24, 77}, {13, 88}, {33, 116}, {3, 85}, {24, 78}, {34, 116}, {2, 85}, {59, 108}, {25, 78}, {22, 65}, {21, 66}, {26, 66}, {51, 107}, {50, 106}, {46, 118}, {27, 67}, {26, 67}, {50, 107}, {46, 119}, {44, 117}, {27, 66}, {13, 87}, {59, 97}, {58, 96}, {49, 107}, {44, 118}, {12, 87}, {59, 96}, {55, 108}, {49, 106}, {31, 68}, {17, 77}, {55, 107}, {31, 67}, {40, 116}, {17, 76}, {60, 97}, {43, 118}, {40, 117}, {8, 86}, {43, 117}, {18, 76}, {9, 87}, {8, 87}, {51, 108}, {18, 77}, {9, 86}, {1, 97}, {16, 112}, {36, 68}, {37, 69}, {14, 111}, {16, 113}, {36, 69}, {37, 68}, {13, 111}, {54, 84}, {48, 82}, {1, 98}, {55, 84}, {48, 83}, {32, 67}, {5, 97}, {55, 83}, {20, 112}, {10, 110}, {32, 68}, {10, 111}, {54, 83}, {23, 114}, {20, 113}, {23, 113}, {5, 98}, {6, 110}, {47, 71}, {46, 70}, {26, 114}, {11, 99}, {10, 98}, {4, 109}, {47, 70}, {46, 71}, {26, 115}, {24, 113}, {10, 99}, {6, 111}, {4, 110}, {53, 95}, {24, 114}, {9, 99}, {9, 98}, {52, 95}, {15, 100}, {15, 99}, {30, 114}, {35, 79}, {41, 69}, {42, 70}, {3, 110}, {57, 84}, {30, 115}, {34, 79}, {3, 109}, {59, 85}, {58, 84}, {49, 95}, {48, 94}, {11, 100}, {58, 85}, {49, 94}, {48, 95}, {41, 70}, {42, 69}, {20, 100}, {57, 73}, {56, 72}, {21, 101}, {20, 101}, {57, 72}, {34, 80}, {21, 102}, {58, 73}, {52, 71}, {35, 80}, {37, 81}, {51, 71}, {42, 94}, {37, 80}, {43, 94}, {19, 101}, {43, 93}, {38, 80}, {19, 100}, {42, 93}, {31, 104}, {38, 81}, {30, 102}, {31, 103}, {30, 103}, {29, 103}, {33, 91}, {38, 92}, {39, 93}, {29, 102}, {51, 72}, {32, 91}, {38, 93}, {39, 92}, {25, 101}, {52, 72}, {47, 83}, {45, 81}, {32, 92}, {13, 112}, {47, 82}, {44, 81}, {33, 92}, {14, 112}, {44, 82}, {25, 102}, {45, 82} }>;

(II) A more general form is to represent the graph as the orbit of {57, 61} under the group generated by the following permutations:

a: (6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 46)(17, 47)(18, 48)(19, 49)(20, 50)(21, 41)(22, 42)(23, 43)(24, 44)(25, 45)(26, 36)(27, 37)(28, 38)(29, 39)(30, 40)(61, 62)(63, 72)(64, 71)(65, 70)(66, 69)(67, 68)(73, 74)(75, 84)(76, 83)(77, 82)(78, 81)(79, 80)(85, 86)(87, 96)(88, 95)(89, 94)(90, 93)(91, 92)(97, 98)(99, 108)(100, 107)(101, 106)(102, 105)(103, 104)(109, 110)(111, 120)(112, 119)(113, 118)(114, 117)(115, 116)
b: (1, 2, 3, 4, 5)(6, 8, 10, 7, 9)(11, 12, 13, 14, 15)(16, 18, 20, 17, 19)(21, 22, 23, 24, 25)(26, 28, 30, 27, 29)(31, 32, 33, 34, 35)(36, 38, 40, 37, 39)(41, 42, 43, 44, 45)(46, 48, 50, 47, 49)(51, 52, 53, 54, 55)(56, 58, 60, 57, 59)(61, 85, 109, 73, 97)(62, 86, 110, 74, 98)(63, 87, 111, 75, 99)(64, 88, 112, 76, 100)(65, 89, 113, 77, 101)(66, 90, 114, 78, 102)(67, 91, 115, 79, 103)(68, 92, 116, 80, 104)(69, 93, 117, 81, 105)(70, 94, 118, 82, 106)(71, 95, 119, 83, 107)(72, 96, 120, 84, 108)
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)(52, 55)(53, 54)(56, 60)(57, 59)(61, 97)(62, 98)(63, 99)(64, 100)(65, 101)(66, 102)(67, 103)(68, 104)(69, 105)(70, 106)(71, 107)(72, 108)(73, 85)(74, 86)(75, 87)(76, 88)(77, 89)(78, 90)(79, 91)(80, 92)(81, 93)(82, 94)(83, 95)(84, 96)
d: (1, 6, 13, 19, 21, 26, 33, 39, 41, 46, 53, 59)(2, 10, 12, 20, 22, 30, 32, 40, 42, 50, 52, 60)(3, 9, 11, 16, 23, 29, 31, 36, 43, 49, 51, 56)(4, 8, 15, 17, 24, 28, 35, 37, 44, 48, 55, 57)(5, 7, 14, 18, 25, 27, 34, 38, 45, 47, 54, 58)(61, 110, 87, 100, 65, 114, 91, 104, 69, 118, 95, 108)(62, 111, 88, 101, 66, 115, 92, 105, 70, 119, 96, 97)(63, 112, 89, 102, 67, 116, 93, 106, 71, 120, 85, 98)(64, 113, 90, 103, 68, 117, 94, 107, 72, 109, 86, 99)(73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84)

(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[ 120, 30 ]
120
-1 61 62 97 98
-2 61 62 85 86
-3 110 85 86 109
-4 110 73 74 109
-5 73 74 97 98
-6 110 111 62 63
-7 62 63 74 75
-8 74 75 86 87
-9 99 86 87 98
-10 99 110 111 98
-11 99 100 63 64
-12 88 63 64 87
-13 88 111 112 87
-14 111 112 75 76
-15 99 100 75 76
-16 112 113 64 65
-17 77 64 65 76
-18 77 88 89 76
-19 88 89 100 101
-20 100 101 112 113
-21 66 101 102 65
-22 66 89 90 65
-23 89 90 113 114
-24 77 78 113 114
-25 77 78 101 102
-26 66 67 114 115
-27 66 67 78 79
-28 78 79 90 91
-29 90 91 102 103
-30 102 103 114 115
-31 67 68 103 104
-32 67 68 91 92
-33 91 92 115 116
-34 79 80 115 116
-35 79 80 103 104
-36 68 69 116 117
-37 68 69 80 81
-38 80 81 92 93
-39 92 93 104 105
-40 104 105 116 117
-41 69 70 105 106
-42 69 70 93 94
-43 93 94 117 118
-44 81 82 117 118
-45 81 82 105 106
-46 70 71 118 119
-47 70 71 82 83
-48 82 83 94 95
-49 94 95 106 107
-50 106 107 118 119
-51 71 72 107 108
-52 71 72 95 96
-53 95 96 119 120
-54 83 84 119 120
-55 83 84 107 108
-56 61 72 109 120
-57 61 72 73 84
-58 73 84 85 96
-59 85 96 97 108
-60 97 108 109 120
-61 1 56 2 57
-62 1 2 6 7
-63 11 12 6 7
-64 11 12 16 17
-65 22 16 17 21
-66 22 26 27 21
-67 26 27 31 32
-68 36 37 31 32
-69 36 37 41 42
-70 46 47 41 42
-71 46 47 51 52
-72 56 57 51 52
-73 57 58 4 5
-74 4 5 7 8
-75 14 15 7 8
-76 14 15 17 18
-77 24 25 17 18
-78 24 25 27 28
-79 34 35 27 28
-80 34 35 37 38
-81 44 45 37 38
-82 44 45 47 48
-83 55 47 48 54
-84 55 57 58 54
-85 2 3 58 59
-86 2 3 8 9
-87 12 13 8 9
-88 12 13 18 19
-89 22 23 18 19
-90 22 23 28 29
-91 33 28 29 32
-92 33 38 39 32
-93 38 39 42 43
-94 48 49 42 43
-95 48 49 52 53
-96 58 59 52 53
-97 1 59 5 60
-98 1 5 9 10
-99 11 15 9 10
-100 11 15 19 20
-101 25 19 20 21
-102 25 29 30 21
-103 35 29 30 31
-104 35 39 40 31
-105 45 39 40 41
-106 45 49 50 41
-107 55 49 50 51
-108 55 59 60 51
-109 56 3 4 60
-110 3 4 6 10
-111 13 14 6 10
-112 13 14 16 20
-113 23 24 16 20
-114 23 24 26 30
-115 33 34 26 30
-116 33 34 36 40
-117 44 36 40 43
-118 44 46 50 43
-119 46 50 53 54
-120 56 60 53 54
0

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