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On this page are computer-accessible forms for the graph C4[ 144, 62 ] = BGCG(AMC(4,3,[0.1:1.2]);K2;{2,3}).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {66, 75} under the group generated by the following permutations:

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

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

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