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On this page are computer-accessible forms for the graph C4[ 130, 4 ] = C_130(1,57).

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

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

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