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On this page are computer-accessible forms for the graph C4[ 144, 65 ] = BGCG(AMC(8,3,[0.1:1.2]);K1;{1,4}).

(I) Following is a form readable by MAGMA:

g:=Graph<144|{ {71, 75}, {67, 78}, {68, 73}, {66, 77}, {70, 86}, {65, 85}, {68, 80}, {72, 93}, {72, 94}, {66, 89}, {72, 87}, {68, 101}, {70, 100}, {69, 108}, {65, 106}, {69, 107}, {66, 109}, {67, 115}, {65, 112}, {70, 119}, {64, 117}, {72, 125}, {67, 118}, {67, 123}, {65, 120}, {68, 127}, {71, 121}, {17, 81}, {26, 90}, {19, 83}, {48, 113}, {53, 116}, {13, 79}, {31, 93}, {15, 76}, {29, 94}, {40, 107}, {20, 80}, {8, 77}, {60, 121}, {59, 126}, {19, 86}, {56, 125}, {52, 114}, {47, 104}, {18, 90}, {35, 107}, {34, 106}, {47, 103}, {60, 117}, {63, 118}, {17, 91}, {31, 85}, {28, 87}, {63, 116}, {56, 115}, {3, 78}, {40, 101}, {51, 126}, {35, 109}, {41, 103}, {45, 99}, {50, 124}, {4, 75}, {63, 112}, {24, 87}, {35, 115}, {63, 111}, {58, 106}, {49, 97}, {51, 99}, {27, 74}, {36, 117}, {33, 112}, {43, 122}, {57, 104}, {41, 123}, {62, 108}, {2, 81}, {29, 78}, {26, 73}, {6, 85}, {58, 105}, {11, 95}, {58, 110}, {46, 122}, {28, 73}, {42, 127}, {10, 92}, {59, 109}, {14, 88}, {54, 96}, {24, 79}, {49, 102}, {53, 98}, {4, 92}, {11, 83}, {5, 93}, {11, 82}, {2, 88}, {38, 124}, {16, 74}, {8, 82}, {5, 95}, {40, 114}, {15, 84}, {23, 76}, {42, 113}, {44, 119}, {50, 105}, {52, 111}, {36, 120}, {4, 89}, {60, 97}, {59, 102}, {37, 120}, {34, 127}, {32, 125}, {9, 84}, {51, 110}, {5, 91}, {62, 96}, {1, 94}, {61, 98}, {59, 100}, {36, 123}, {18, 114}, {19, 115}, {43, 75}, {50, 83}, {1, 99}, {22, 116}, {12, 110}, {22, 117}, {1, 101}, {42, 78}, {46, 74}, {10, 111}, {49, 84}, {25, 126}, {30, 121}, {54, 81}, {21, 125}, {30, 118}, {11, 98}, {30, 119}, {49, 88}, {57, 80}, {26, 112}, {33, 75}, {48, 90}, {12, 103}, {38, 77}, {7, 107}, {18, 126}, {12, 96}, {10, 102}, {55, 90}, {58, 87}, {9, 103}, {23, 121}, {13, 99}, {25, 118}, {60, 83}, {34, 77}, {48, 95}, {52, 91}, {57, 86}, {44, 92}, {3, 114}, {62, 79}, {61, 76}, {37, 84}, {29, 108}, {25, 104}, {16, 97}, {13, 124}, {44, 93}, {22, 100}, {39, 85}, {27, 105}, {45, 95}, {56, 74}, {8, 123}, {21, 102}, {19, 96}, {43, 88}, {47, 92}, {36, 80}, {61, 73}, {2, 119}, {24, 109}, {43, 94}, {7, 113}, {12, 122}, {9, 127}, {21, 98}, {33, 86}, {27, 108}, {17, 105}, {17, 104}, {32, 89}, {29, 100}, {14, 116}, {40, 82}, {20, 110}, {54, 76}, {7, 124}, {30, 101}, {26, 97}, {20, 111}, {10, 113}, {42, 81}, {52, 79}, {6, 122}, {37, 89}, {46, 82}, {23, 106}, {37, 91}, {7, 120}, {5, 134}, {9, 138}, {3, 135}, {13, 136}, {6, 128}, {15, 135}, {6, 143}, {8, 130}, {14, 130}, {28, 144}, {14, 131}, {2, 140}, {15, 129}, {1, 142}, {4, 139}, {28, 140}, {20, 133}, {3, 144}, {25, 141}, {22, 129}, {31, 133}, {16, 139}, {31, 132}, {24, 131}, {21, 137}, {18, 143}, {16, 142}, {23, 136}, {27, 132}, {32, 128}, {38, 134}, {39, 130}, {41, 140}, {46, 136}, {33, 134}, {41, 142}, {35, 138}, {38, 143}, {34, 137}, {44, 135}, {39, 139}, {47, 131}, {32, 141}, {39, 138}, {45, 128}, {48, 129}, {51, 130}, {57, 136}, {55, 133}, {62, 141}, {55, 131}, {50, 135}, {56, 129}, {61, 132}, {53, 143}, {53, 142}, {45, 144}, {54, 139}, {55, 137}, {71, 133}, {64, 134}, {70, 128}, {66, 132}, {69, 140}, {64, 138}, {69, 137}, {64, 141}, {71, 144} }>;

(II) A more general form is to represent the graph as the orbit of {71, 75} under the group generated by the following permutations:

a: (1, 2, 3)(4, 5, 6)(7, 8, 9)(10, 11, 12)(13, 14, 15)(16, 17, 18)(19, 20, 21)(22, 23, 24)(25, 26, 27)(28, 29, 30)(31, 32, 33)(34, 35, 36)(37, 38, 39)(40, 41, 42)(43, 44, 45)(46, 47, 48)(49, 50, 51)(52, 53, 54)(55, 56, 57)(58, 59, 60)(61, 62, 63)(64, 65, 66)(67, 68, 69)(70, 71, 72)(73, 108, 118)(74, 104, 90)(75, 93, 128)(76, 79, 116)(77, 138, 120)(78, 101, 140)(80, 137, 115)(81, 114, 142)(82, 103, 113)(83, 110, 102)(84, 124, 130)(85, 89, 134)(86, 133, 125)(87, 100, 121)(88, 135, 99)(91, 143, 139)(92, 95, 122)(94, 119, 144)(96, 111, 98)(97, 105, 126)(106, 109, 117)(107, 123, 127)(112, 132, 141)(129, 136, 131)
b: (1, 10, 19, 28, 37, 46, 55, 64)(2, 17, 27, 31, 39, 51, 59, 70)(3, 15, 23, 34, 38, 53, 63, 67)(4, 12, 24, 32, 43, 47, 62, 72)(5, 16, 20, 35, 45, 49, 57, 69)(6, 14, 25, 29, 44, 54, 58, 66)(7, 11, 26, 36, 40, 48, 60, 68)(8, 18, 22, 30, 42, 50, 61, 65)(9, 13, 21, 33, 41, 52, 56, 71)(73, 120, 82, 90, 117, 101, 113, 83)(74, 133, 138, 99, 102, 86, 140, 91)(75, 103, 79, 125)(76, 106, 77, 143, 116, 118, 78, 135)(80, 107, 95, 97)(81, 105, 132, 85, 130, 126, 100, 119)(84, 136, 137, 134, 142, 111, 115, 144)(87, 89, 122, 131, 141, 94, 92, 96)(88, 104, 108, 93, 139, 110, 109, 128)(98, 112, 123, 114, 129, 121, 127, 124)
c: (2, 3)(4, 7)(5, 9)(6, 8)(11, 12)(13, 16)(14, 18)(15, 17)(20, 21)(22, 25)(23, 27)(24, 26)(29, 30)(31, 34)(32, 36)(33, 35)(38, 39)(40, 43)(41, 45)(42, 44)(47, 48)(49, 52)(50, 54)(51, 53)(56, 57)(58, 61)(59, 63)(60, 62)(65, 66)(67, 70)(68, 72)(69, 71)(73, 87)(74, 136)(75, 107)(76, 105)(77, 85)(78, 119)(79, 97)(80, 125)(81, 135)(82, 122)(83, 96)(84, 91)(86, 115)(88, 114)(89, 120)(90, 131)(92, 113)(93, 127)(94, 101)(95, 103)(98, 110)(99, 142)(100, 118)(102, 111)(104, 129)(106, 132)(108, 121)(109, 112)(116, 126)(117, 141)(123, 128)(124, 139)(130, 143)(133, 137)(134, 138)(140, 144)
d: (2, 8, 3, 6)(4, 9, 7, 5)(10, 64)(11, 71, 12, 69)(13, 72, 16, 68)(14, 67, 18, 70)(15, 65, 17, 66)(19, 55)(20, 62, 21, 60)(22, 63, 25, 59)(23, 58, 27, 61)(24, 56, 26, 57)(28, 46)(29, 53, 30, 51)(31, 54, 34, 50)(32, 49, 36, 52)(33, 47, 35, 48)(38, 44, 39, 42)(40, 45, 43, 41)(73, 136, 87, 74)(75, 103, 107, 95)(76, 106, 105, 132)(77, 135, 85, 81)(78, 143, 119, 130)(79, 125, 97, 80)(82, 144, 122, 140)(83, 133, 96, 137)(84, 120, 91, 89)(86, 131, 115, 90)(88, 123, 114, 128)(92, 138, 113, 134)(93, 139, 127, 124)(94, 142, 101, 99)(98, 121, 110, 108)(100, 116, 118, 126)(102, 117, 111, 141)(104, 109, 129, 112)

(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[ 144, 65 ]
144
-1 99 101 94 142
-2 88 81 140 119
-3 78 144 135 114
-4 89 92 139 75
-5 134 91 93 95
-6 143 122 128 85
-7 113 124 107 120
-8 77 123 82 130
-9 103 127 138 84
-10 111 102 113 92
-11 82 83 95 98
-12 110 122 103 96
-13 99 79 124 136
-14 88 116 130 131
-15 135 84 129 76
-16 139 74 97 142
-17 91 81 104 105
-18 143 90 114 126
-19 115 83 96 86
-20 110 111 133 80
-21 102 125 137 98
-22 100 116 117 129
-23 121 136 106 76
-24 79 87 109 131
-25 104 126 118 141
-26 90 112 73 97
-27 132 105 74 108
-28 144 73 140 87
-29 78 100 94 108
-30 121 101 118 119
-31 132 133 93 85
-32 89 125 128 141
-33 112 134 75 86
-34 77 137 127 106
-35 115 138 107 109
-36 123 80 117 120
-37 89 91 84 120
-38 77 143 134 124
-39 138 139 85 130
-40 101 114 82 107
-41 123 103 140 142
-42 78 113 81 127
-43 88 122 94 75
-44 135 92 93 119
-45 99 144 95 128
-46 122 136 82 74
-47 92 103 104 131
-48 90 113 95 129
-49 88 102 84 97
-50 124 135 83 105
-51 99 110 126 130
-52 111 79 91 114
-53 143 116 98 142
-54 81 139 96 76
-55 133 90 137 131
-56 125 115 74 129
-57 80 136 104 86
-58 110 105 106 87
-59 100 102 126 109
-60 121 83 117 97
-61 132 73 76 98
-62 79 96 108 141
-63 111 112 116 118
-64 134 138 117 141
-65 112 106 85 120
-66 77 132 89 109
-67 78 123 115 118
-68 101 80 127 73
-69 137 107 140 108
-70 100 128 86 119
-71 121 133 144 75
-72 125 93 94 87
-73 68 26 28 61
-74 56 46 16 27
-75 33 4 71 43
-76 23 15 61 54
-77 66 34 38 8
-78 67 3 29 42
-79 13 24 62 52
-80 57 68 36 20
-81 2 17 42 54
-82 11 46 40 8
-83 11 60 50 19
-84 15 37 49 9
-85 6 39 31 65
-86 33 57 70 19
-87 24 58 28 72
-88 2 14 49 43
-89 66 4 37 32
-90 55 26 48 18
-91 37 5 17 52
-92 44 47 4 10
-93 44 5 72 31
-94 1 72 29 43
-95 11 45 48 5
-96 12 62 19 54
-97 26 16 49 60
-98 11 61 53 21
-99 1 45 13 51
-100 22 59 70 29
-101 1 68 40 30
-102 59 49 10 21
-103 12 47 41 9
-104 57 25 47 17
-105 58 27 17 50
-106 23 34 58 65
-107 35 69 7 40
-108 69 27 29 62
-109 66 24 35 59
-110 12 58 51 20
-111 52 63 20 10
-112 33 26 63 65
-113 48 7 42 10
-114 3 18 40 52
-115 56 67 35 19
-116 22 14 63 53
-117 22 36 60 64
-118 67 25 30 63
-119 44 2 70 30
-120 36 37 7 65
-121 23 60 71 30
-122 12 46 6 43
-123 67 36 8 41
-124 13 38 50 7
-125 56 72 21 32
-126 25 59 18 51
-127 34 68 9 42
-128 45 70 6 32
-129 22 56 15 48
-130 14 39 51 8
-131 55 24 14 47
-132 66 27 61 31
-133 55 71 20 31
-134 33 5 38 64
-135 44 3 15 50
-136 23 13 46 57
-137 55 34 69 21
-138 35 39 9 64
-139 4 16 39 54
-140 2 69 28 41
-141 25 62 64 32
-142 1 16 41 53
-143 38 6 18 53
-144 45 3 71 28
0

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