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On this page are computer-accessible forms for the graph C4[ 144, 32 ] = UG(ATD[144,8]).

(I) Following is a form readable by MAGMA:

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

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

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