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On this page are computer-accessible forms for the graph C4[ 128, 49 ] = BGCG({4,4}_8,0;K1;{2,7,10,11}).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {64, 70} under the group generated by the following permutations:

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

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

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