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On this page are computer-accessible forms for the graph C4[ 144, 41 ] = UG(ATD[144,72]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {72, 73} under the group generated by the following permutations:

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

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

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