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On this page are computer-accessible forms for the graph C4[ 130, 6 ] = PS(10,13;5).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {13, 14} under the group generated by the following permutations:

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

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