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On this page are computer-accessible forms for the graph C4[ 128, 38 ] = UG(ATD[128,60]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {38, 39} under the group generated by the following permutations:

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

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

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