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On this page are computer-accessible forms for the graph C4[ 129, 1 ] = C_129(1,44).

(I) Following is a form readable by MAGMA:

g:=Graph<129|{ {2, 3}, {128, 129}, {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}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {32, 33}, {30, 31}, {28, 29}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {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}, {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}, {41, 42}, {37, 38}, {33, 34}, {29, 30}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {45, 46}, {49, 50}, {53, 54}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {3, 4}, {123, 124}, {115, 116}, {107, 108}, {99, 100}, {91, 92}, {83, 84}, {35, 36}, {27, 28}, {11, 12}, {19, 20}, {43, 44}, {51, 52}, {59, 60}, {67, 68}, {75, 76}, {7, 8}, {119, 120}, {103, 104}, {87, 88}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {15, 16}, {111, 112}, {47, 48}, {79, 80}, {1, 45}, {83, 127}, {82, 126}, {81, 125}, {2, 46}, {3, 47}, {16, 60}, {17, 61}, {18, 62}, {19, 63}, {64, 108}, {65, 109}, {66, 110}, {67, 111}, {80, 124}, {4, 48}, {5, 49}, {6, 50}, {7, 51}, {12, 56}, {13, 57}, {14, 58}, {15, 59}, {68, 112}, {69, 113}, {70, 114}, {71, 115}, {76, 120}, {77, 121}, {78, 122}, {79, 123}, {8, 52}, {9, 53}, {10, 54}, {11, 55}, {72, 116}, {73, 117}, {74, 118}, {75, 119}, {31, 32}, {95, 96}, {20, 64}, {31, 75}, {30, 74}, {29, 73}, {28, 72}, {21, 65}, {22, 66}, {23, 67}, {52, 96}, {53, 97}, {54, 98}, {55, 99}, {60, 104}, {61, 105}, {62, 106}, {63, 107}, {2, 87}, {40, 125}, {34, 119}, {32, 117}, {8, 93}, {10, 95}, {42, 127}, {1, 86}, {41, 126}, {33, 118}, {9, 94}, {3, 88}, {39, 124}, {35, 120}, {7, 92}, {24, 68}, {27, 71}, {25, 69}, {26, 70}, {56, 100}, {57, 101}, {58, 102}, {59, 103}, {4, 89}, {38, 123}, {36, 121}, {6, 91}, {5, 90}, {37, 122}, {11, 96}, {31, 116}, {27, 112}, {15, 100}, {32, 76}, {35, 79}, {34, 78}, {33, 77}, {48, 92}, {49, 93}, {50, 94}, {51, 95}, {12, 97}, {30, 115}, {28, 113}, {14, 99}, {13, 98}, {29, 114}, {36, 80}, {39, 83}, {38, 82}, {37, 81}, {44, 88}, {45, 89}, {46, 90}, {47, 91}, {16, 101}, {18, 103}, {24, 109}, {26, 111}, {17, 102}, {25, 110}, {19, 104}, {23, 108}, {40, 84}, {42, 86}, {41, 85}, {43, 87}, {20, 105}, {22, 107}, {21, 106}, {63, 64}, {1, 129}, {43, 128}, {44, 129}, {84, 128}, {85, 129}, {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, 86)(3, 42)(4, 127)(5, 83)(6, 39)(7, 124)(8, 80)(9, 36)(10, 121)(11, 77)(12, 33)(13, 118)(14, 74)(15, 30)(16, 115)(17, 71)(18, 27)(19, 112)(20, 68)(21, 24)(22, 109)(23, 65)(25, 106)(26, 62)(28, 103)(29, 59)(31, 100)(32, 56)(34, 97)(35, 53)(37, 94)(38, 50)(40, 91)(41, 47)(43, 88)(45, 129)(46, 85)(48, 126)(49, 82)(51, 123)(52, 79)(54, 120)(55, 76)(57, 117)(58, 73)(60, 114)(61, 70)(63, 111)(64, 67)(66, 108)(69, 105)(72, 102)(75, 99)(78, 96)(81, 93)(84, 90)(89, 128)(92, 125)(95, 122)(98, 119)(101, 116)(104, 113)(107, 110)
b: (2, 45)(3, 89)(5, 48)(6, 92)(8, 51)(9, 95)(11, 54)(12, 98)(14, 57)(15, 101)(17, 60)(18, 104)(20, 63)(21, 107)(23, 66)(24, 110)(26, 69)(27, 113)(29, 72)(30, 116)(32, 75)(33, 119)(35, 78)(36, 122)(38, 81)(39, 125)(41, 84)(42, 128)(44, 87)(47, 90)(50, 93)(53, 96)(56, 99)(59, 102)(62, 105)(65, 108)(68, 111)(71, 114)(74, 117)(77, 120)(80, 123)(83, 126)(86, 129)
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, 129)

(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[ 129, 1 ]
129
-1 45 2 129 86
-2 1 46 3 87
-3 88 2 47 4
-4 89 3 48 5
-5 90 4 49 6
-6 91 5 50 7
-7 92 6 51 8
-8 93 7 52 9
-9 94 8 53 10
-10 11 95 9 54
-11 55 12 96 10
-12 11 56 13 97
-13 12 57 14 98
-14 99 13 58 15
-15 100 14 59 16
-16 101 15 60 17
-17 102 16 61 18
-18 103 17 62 19
-19 104 18 63 20
-20 105 19 64 21
-21 22 106 20 65
-22 66 23 107 21
-23 22 67 24 108
-24 23 68 25 109
-25 110 24 69 26
-26 111 25 70 27
-27 112 26 71 28
-28 113 27 72 29
-29 114 28 73 30
-30 115 29 74 31
-31 116 30 75 32
-32 33 117 31 76
-33 77 34 118 32
-34 33 78 35 119
-35 34 79 36 120
-36 121 35 80 37
-37 122 36 81 38
-38 123 37 82 39
-39 124 38 83 40
-40 125 39 84 41
-41 126 40 85 42
-42 127 41 86 43
-43 44 128 42 87
-44 88 45 129 43
-45 44 1 89 46
-46 45 2 90 47
-47 46 3 91 48
-48 47 4 92 49
-49 48 5 93 50
-50 49 6 94 51
-51 50 7 95 52
-52 51 8 96 53
-53 52 9 97 54
-54 55 53 10 98
-55 11 99 56 54
-56 55 12 100 57
-57 56 13 101 58
-58 57 14 102 59
-59 58 15 103 60
-60 59 16 104 61
-61 60 17 105 62
-62 61 18 106 63
-63 62 19 107 64
-64 63 20 108 65
-65 66 64 21 109
-66 22 110 67 65
-67 66 23 111 68
-68 67 24 112 69
-69 68 25 113 70
-70 69 26 114 71
-71 70 27 115 72
-72 71 28 116 73
-73 72 29 117 74
-74 73 30 118 75
-75 74 31 119 76
-76 77 75 32 120
-77 33 121 78 76
-78 77 34 122 79
-79 78 35 123 80
-80 79 36 124 81
-81 80 37 125 82
-82 81 38 126 83
-83 82 39 127 84
-84 83 40 128 85
-85 84 41 129 86
-86 1 85 42 87
-87 88 2 86 43
-88 44 89 3 87
-89 88 45 90 4
-90 89 46 91 5
-91 90 47 92 6
-92 91 48 93 7
-93 92 49 94 8
-94 93 50 95 9
-95 94 51 96 10
-96 11 95 52 97
-97 12 96 53 98
-98 99 13 97 54
-99 55 100 14 98
-100 99 56 101 15
-101 100 57 102 16
-102 101 58 103 17
-103 102 59 104 18
-104 103 60 105 19
-105 104 61 106 20
-106 105 62 107 21
-107 22 106 63 108
-108 23 107 64 109
-109 110 24 108 65
-110 66 111 25 109
-111 110 67 112 26
-112 111 68 113 27
-113 112 69 114 28
-114 113 70 115 29
-115 114 71 116 30
-116 115 72 117 31
-117 116 73 118 32
-118 33 117 74 119
-119 34 118 75 120
-120 121 35 119 76
-121 77 122 36 120
-122 121 78 123 37
-123 122 79 124 38
-124 123 80 125 39
-125 124 81 126 40
-126 125 82 127 41
-127 126 83 128 42
-128 127 84 129 43
-129 44 1 128 85
0

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