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On this page are computer-accessible forms for the graph C4[ 128, 45 ] = 2AT[ 128, 3 ].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {1, 3} under the group generated by the following permutations:

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

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

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