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On this page are computer-accessible forms for the graph C4[ 125, 1 ] = C_125(1,57).

(I) Following is a form readable by MAGMA:

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

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

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

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