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On this page are computer-accessible forms for the graph C4[ 128, 26 ] = AMC(8,8,[1.1:0.1]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {64, 66} under the group generated by the following permutations:

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

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

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