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On this page are computer-accessible forms for the graph C4[ 144, 42 ] = UG(ATD[144,77]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {26, 27} under the group generated by the following permutations:

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

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

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