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On this page are computer-accessible forms for the graph C4[ 128, 2 ] = {4,4}_8,8.

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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

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