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On this page are computer-accessible forms for the graph C4[ 144, 38 ] = UG(ATD[144,36]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {108, 109} under the group generated by the following permutations:

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

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