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On this page are computer-accessible forms for the graph C4[ 128, 5 ] = {4,4}_<18,14>.

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

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

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