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On this page are computer-accessible forms for the graph C4[ 128, 43 ] = 2AT[ 128, 1 ].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {18, 19} under the group generated by the following permutations:

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

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

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