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On this page are computer-accessible forms for the graph C4[ 130, 2 ] = C_130(1,47).

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

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