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On this page are computer-accessible forms for the graph C4[ 144, 40 ] = UG(ATD[144,69]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {44, 45} under the group generated by the following permutations:

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

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

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