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On this page are computer-accessible forms for the graph C4[ 128, 44 ] = 2AT[ 128, 2 ].

(I) Following is a form readable by MAGMA:

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

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

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

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