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On this page are computer-accessible forms for the graph C4[ 144, 34 ] = UG(ATD[144,15]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {78, 79} under the group generated by the following permutations:

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

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

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