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On this page are computer-accessible forms for the graph C4[ 130, 3 ] = C_130(1,51).

(I) Following is a form readable by MAGMA:

g:=Graph<130|{ {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}, {80, 81}, {78, 79}, {76, 77}, {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}, {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}, {1, 2}, {129, 130}, {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}, {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}, {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}, {79, 80}, {47, 48}, {4, 55}, {76, 127}, {8, 59}, {12, 63}, {64, 115}, {68, 119}, {72, 123}, {1, 52}, {3, 54}, {9, 60}, {11, 62}, {65, 116}, {67, 118}, {73, 124}, {75, 126}, {2, 53}, {10, 61}, {66, 117}, {74, 125}, {5, 56}, {7, 58}, {69, 120}, {71, 122}, {6, 57}, {95, 96}, {31, 32}, {70, 121}, {13, 64}, {31, 82}, {29, 80}, {15, 66}, {45, 96}, {47, 98}, {61, 112}, {63, 114}, {14, 65}, {32, 111}, {30, 81}, {16, 95}, {46, 97}, {48, 127}, {62, 113}, {1, 80}, {39, 118}, {37, 116}, {35, 114}, {33, 112}, {3, 82}, {5, 84}, {7, 86}, {9, 88}, {11, 90}, {13, 92}, {15, 94}, {41, 120}, {43, 122}, {45, 124}, {47, 126}, {2, 81}, {38, 117}, {34, 113}, {28, 79}, {6, 85}, {10, 89}, {14, 93}, {16, 67}, {20, 71}, {24, 75}, {42, 121}, {46, 125}, {48, 99}, {52, 103}, {56, 107}, {60, 111}, {17, 68}, {27, 78}, {19, 70}, {25, 76}, {49, 100}, {51, 102}, {57, 108}, {59, 110}, {4, 83}, {36, 115}, {12, 91}, {18, 69}, {26, 77}, {44, 123}, {50, 101}, {58, 109}, {21, 72}, {23, 74}, {53, 104}, {55, 106}, {8, 87}, {40, 119}, {22, 73}, {54, 105}, {17, 96}, {31, 110}, {29, 108}, {27, 106}, {19, 98}, {21, 100}, {23, 102}, {25, 104}, {18, 97}, {40, 91}, {36, 87}, {32, 83}, {30, 109}, {26, 105}, {22, 101}, {44, 95}, {33, 84}, {41, 92}, {35, 86}, {43, 94}, {20, 99}, {34, 85}, {28, 107}, {42, 93}, {37, 88}, {39, 90}, {24, 103}, {38, 89}, {63, 64}, {1, 130}, {49, 128}, {51, 130}, {50, 129}, {77, 128}, {79, 130}, {78, 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, 80)(3, 29)(4, 108)(5, 57)(7, 85)(8, 34)(9, 113)(10, 62)(12, 90)(13, 39)(14, 118)(15, 67)(17, 95)(18, 44)(19, 123)(20, 72)(22, 100)(23, 49)(24, 128)(25, 77)(27, 105)(28, 54)(30, 82)(32, 110)(33, 59)(35, 87)(37, 115)(38, 64)(40, 92)(42, 120)(43, 69)(45, 97)(47, 125)(48, 74)(50, 102)(52, 130)(53, 79)(55, 107)(58, 84)(60, 112)(63, 89)(65, 117)(68, 94)(70, 122)(73, 99)(75, 127)(78, 104)(83, 109)(88, 114)(93, 119)(98, 124)(103, 129)
b: (2, 52)(3, 103)(4, 24)(5, 75)(6, 126)(7, 47)(8, 98)(9, 19)(10, 70)(11, 121)(12, 42)(13, 93)(15, 65)(16, 116)(17, 37)(18, 88)(20, 60)(21, 111)(22, 32)(23, 83)(25, 55)(26, 106)(28, 78)(29, 129)(30, 50)(31, 101)(33, 73)(34, 124)(35, 45)(36, 96)(38, 68)(39, 119)(41, 91)(43, 63)(44, 114)(46, 86)(48, 58)(49, 109)(51, 81)(54, 104)(56, 76)(57, 127)(59, 99)(61, 71)(62, 122)(64, 94)(67, 117)(69, 89)(72, 112)(74, 84)(77, 107)(80, 130)(82, 102)(85, 125)(87, 97)(90, 120)(95, 115)(100, 110)(108, 128)(113, 123)
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, 130)

(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[ 130, 3 ]
130
-1 2 80 52 130
-2 1 3 81 53
-3 2 4 82 54
-4 55 3 5 83
-5 56 4 6 84
-6 57 5 7 85
-7 58 6 8 86
-8 59 7 9 87
-9 88 60 8 10
-10 11 89 61 9
-11 12 90 62 10
-12 11 13 91 63
-13 12 14 92 64
-14 13 15 93 65
-15 66 14 16 94
-16 67 15 17 95
-17 68 16 18 96
-18 69 17 19 97
-19 70 18 20 98
-20 99 71 19 21
-21 22 100 72 20
-22 23 101 73 21
-23 22 24 102 74
-24 23 25 103 75
-25 24 26 104 76
-26 77 25 27 105
-27 78 26 28 106
-28 79 27 29 107
-29 80 28 30 108
-30 81 29 31 109
-31 110 82 30 32
-32 33 111 83 31
-33 34 112 84 32
-34 33 35 113 85
-35 34 36 114 86
-36 35 37 115 87
-37 88 36 38 116
-38 89 37 39 117
-39 90 38 40 118
-40 91 39 41 119
-41 92 40 42 120
-42 121 93 41 43
-43 44 122 94 42
-44 45 123 95 43
-45 44 46 124 96
-46 45 47 125 97
-47 46 48 126 98
-48 99 47 49 127
-49 100 48 50 128
-50 101 49 51 129
-51 102 50 52 130
-52 1 103 51 53
-53 2 104 52 54
-54 55 3 105 53
-55 56 4 106 54
-56 55 57 5 107
-57 56 58 6 108
-58 57 59 7 109
-59 110 58 60 8
-60 111 59 61 9
-61 112 60 62 10
-62 11 113 61 63
-63 12 114 62 64
-64 13 115 63 65
-65 66 14 116 64
-66 67 15 117 65
-67 66 68 16 118
-68 67 69 17 119
-69 68 70 18 120
-70 121 69 71 19
-71 122 70 72 20
-72 123 71 73 21
-73 22 124 72 74
-74 23 125 73 75
-75 24 126 74 76
-76 77 25 127 75
-77 78 26 128 76
-78 77 79 27 129
-79 78 80 28 130
-80 1 79 81 29
-81 2 80 82 30
-82 3 81 83 31
-83 4 82 84 32
-84 33 5 83 85
-85 34 6 84 86
-86 35 7 85 87
-87 88 36 8 86
-88 89 37 9 87
-89 88 90 38 10
-90 11 89 91 39
-91 12 90 92 40
-92 13 91 93 41
-93 14 92 94 42
-94 15 93 95 43
-95 44 16 94 96
-96 45 17 95 97
-97 46 18 96 98
-98 99 47 19 97
-99 100 48 20 98
-100 99 101 49 21
-101 22 100 102 50
-102 23 101 103 51
-103 24 102 104 52
-104 25 103 105 53
-105 26 104 106 54
-106 55 27 105 107
-107 56 28 106 108
-108 57 29 107 109
-109 110 58 30 108
-110 111 59 31 109
-111 110 112 60 32
-112 33 111 113 61
-113 34 112 114 62
-114 35 113 115 63
-115 36 114 116 64
-116 37 115 117 65
-117 66 38 116 118
-118 67 39 117 119
-119 68 40 118 120
-120 121 69 41 119
-121 122 70 42 120
-122 121 123 71 43
-123 44 122 124 72
-124 45 123 125 73
-125 46 124 126 74
-126 47 125 127 75
-127 48 126 128 76
-128 77 49 127 129
-129 78 50 128 130
-130 1 79 51 129
0

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