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On this page are computer-accessible forms for the graph C4[ 132, 4 ] = {4,4}_<14,8>.

(I) Following is a form readable by MAGMA:

g:=Graph<132|{ {2, 3}, {130, 131}, {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}, {70, 71}, {38, 39}, {36, 37}, {34, 35}, {32, 33}, {30, 31}, {28, 29}, {26, 27}, {24, 25}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {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}, {68, 69}, {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}, {69, 70}, {37, 38}, {33, 34}, {29, 30}, {25, 26}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {57, 58}, {61, 62}, {65, 66}, {3, 4}, {131, 132}, {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}, {71, 72}, {39, 40}, {23, 24}, {55, 56}, {15, 16}, {111, 112}, {79, 80}, {47, 48}, {64, 110}, {65, 111}, {66, 112}, {31, 32}, {95, 96}, {1, 67}, {37, 103}, {36, 102}, {33, 99}, {32, 98}, {29, 95}, {28, 94}, {25, 91}, {24, 90}, {4, 70}, {5, 71}, {8, 74}, {9, 75}, {12, 78}, {13, 79}, {16, 82}, {17, 83}, {20, 86}, {21, 87}, {40, 106}, {41, 107}, {44, 110}, {45, 111}, {48, 114}, {49, 115}, {52, 118}, {53, 119}, {56, 122}, {57, 123}, {60, 126}, {61, 127}, {1, 66}, {2, 68}, {35, 101}, {34, 100}, {27, 93}, {26, 92}, {3, 69}, {10, 76}, {11, 77}, {18, 84}, {19, 85}, {42, 108}, {43, 109}, {50, 116}, {51, 117}, {58, 124}, {59, 125}, {6, 72}, {38, 104}, {23, 89}, {7, 73}, {22, 88}, {39, 105}, {54, 120}, {55, 121}, {22, 68}, {31, 77}, {30, 76}, {27, 73}, {26, 72}, {23, 69}, {50, 96}, {51, 97}, {54, 100}, {55, 101}, {58, 104}, {59, 105}, {62, 108}, {63, 109}, {21, 67}, {29, 75}, {28, 74}, {52, 98}, {53, 99}, {60, 106}, {61, 107}, {14, 80}, {25, 71}, {24, 70}, {15, 81}, {46, 112}, {47, 113}, {56, 102}, {57, 103}, {32, 78}, {33, 79}, {48, 94}, {49, 95}, {1, 113}, {2, 114}, {3, 115}, {4, 116}, {5, 117}, {6, 118}, {7, 119}, {8, 120}, {9, 121}, {10, 122}, {11, 123}, {12, 124}, {13, 125}, {14, 126}, {15, 127}, {34, 80}, {39, 85}, {38, 84}, {35, 81}, {42, 88}, {43, 89}, {46, 92}, {47, 93}, {36, 82}, {37, 83}, {44, 90}, {45, 91}, {30, 96}, {31, 97}, {40, 86}, {41, 87}, {63, 64}, {16, 128}, {17, 129}, {18, 130}, {19, 131}, {20, 132}, {62, 128}, {63, 129}, {64, 130}, {65, 131}, {66, 132}, {67, 132}, {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, 66)(3, 65)(4, 64)(5, 63)(6, 62)(7, 61)(8, 60)(9, 59)(10, 58)(11, 57)(12, 56)(13, 55)(14, 54)(15, 53)(16, 52)(17, 51)(18, 50)(19, 49)(20, 48)(21, 47)(22, 46)(23, 45)(24, 44)(25, 43)(26, 42)(27, 41)(28, 40)(29, 39)(30, 38)(31, 37)(32, 36)(33, 35)(67, 113)(68, 112)(69, 111)(70, 110)(71, 109)(72, 108)(73, 107)(74, 106)(75, 105)(76, 104)(77, 103)(78, 102)(79, 101)(80, 100)(81, 99)(82, 98)(83, 97)(84, 96)(85, 95)(86, 94)(87, 93)(88, 92)(89, 91)(114, 132)(115, 131)(116, 130)(117, 129)(118, 128)(119, 127)(120, 126)(121, 125)(122, 124)
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, 131, 132)
c: (2, 113)(3, 47)(4, 93)(5, 27)(6, 73)(8, 119)(9, 53)(10, 99)(11, 33)(12, 79)(14, 125)(15, 59)(16, 105)(17, 39)(18, 85)(20, 131)(21, 65)(22, 111)(23, 45)(24, 91)(26, 71)(28, 117)(29, 51)(30, 97)(32, 77)(34, 123)(35, 57)(36, 103)(38, 83)(40, 129)(41, 63)(42, 109)(44, 89)(46, 69)(48, 115)(50, 95)(52, 75)(54, 121)(56, 101)(58, 81)(60, 127)(62, 107)(64, 87)(66, 67)(68, 112)(70, 92)(74, 118)(76, 98)(80, 124)(82, 104)(86, 130)(88, 110)(94, 116)(100, 122)(106, 128)

(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.

**************

&Graph
C4[ 132, 4 ]
132
-1 66 67 2 113
-2 1 68 3 114
-3 2 69 4 115
-4 3 70 5 116
-5 4 71 6 117
-6 5 72 7 118
-7 6 73 8 119
-8 7 74 9 120
-9 121 8 75 10
-10 11 122 9 76
-11 77 12 123 10
-12 11 78 13 124
-13 12 79 14 125
-14 13 80 15 126
-15 14 81 16 127
-16 15 82 17 128
-17 16 83 18 129
-18 17 84 19 130
-19 18 85 20 131
-20 132 19 86 21
-21 22 67 20 87
-22 88 23 68 21
-23 22 89 24 69
-24 23 90 25 70
-25 24 91 26 71
-26 25 92 27 72
-27 26 93 28 73
-28 27 94 29 74
-29 28 95 30 75
-30 29 96 31 76
-31 77 30 97 32
-32 33 78 31 98
-33 99 34 79 32
-34 33 100 35 80
-35 34 101 36 81
-36 35 102 37 82
-37 36 103 38 83
-38 37 104 39 84
-39 38 105 40 85
-40 39 106 41 86
-41 40 107 42 87
-42 88 41 108 43
-43 44 89 42 109
-44 110 45 90 43
-45 44 111 46 91
-46 45 112 47 92
-47 46 113 48 93
-48 47 114 49 94
-49 48 115 50 95
-50 49 116 51 96
-51 50 117 52 97
-52 51 118 53 98
-53 99 52 119 54
-54 55 100 53 120
-55 121 56 101 54
-56 55 122 57 102
-57 56 123 58 103
-58 57 124 59 104
-59 58 125 60 105
-60 59 126 61 106
-61 60 127 62 107
-62 61 128 63 108
-63 62 129 64 109
-64 110 63 130 65
-65 66 111 64 131
-66 132 1 112 65
-67 132 1 68 21
-68 22 67 2 69
-69 23 68 3 70
-70 24 69 4 71
-71 25 70 5 72
-72 26 71 6 73
-73 27 72 7 74
-74 28 73 8 75
-75 29 74 9 76
-76 77 30 75 10
-77 11 78 31 76
-78 77 12 79 32
-79 33 78 13 80
-80 34 79 14 81
-81 35 80 15 82
-82 36 81 16 83
-83 37 82 17 84
-84 38 83 18 85
-85 39 84 19 86
-86 40 85 20 87
-87 88 41 86 21
-88 22 89 42 87
-89 88 23 90 43
-90 44 89 24 91
-91 45 90 25 92
-92 46 91 26 93
-93 47 92 27 94
-94 48 93 28 95
-95 49 94 29 96
-96 50 95 30 97
-97 51 96 31 98
-98 99 52 97 32
-99 33 100 53 98
-100 99 34 101 54
-101 55 100 35 102
-102 56 101 36 103
-103 57 102 37 104
-104 58 103 38 105
-105 59 104 39 106
-106 60 105 40 107
-107 61 106 41 108
-108 62 107 42 109
-109 110 63 108 43
-110 44 111 64 109
-111 110 45 112 65
-112 66 111 46 113
-113 1 112 47 114
-114 2 113 48 115
-115 3 114 49 116
-116 4 115 50 117
-117 5 116 51 118
-118 6 117 52 119
-119 7 118 53 120
-120 121 8 119 54
-121 55 122 9 120
-122 121 56 123 10
-123 11 122 57 124
-124 12 123 58 125
-125 13 124 59 126
-126 14 125 60 127
-127 15 126 61 128
-128 16 127 62 129
-129 17 128 63 130
-130 18 129 64 131
-131 132 19 130 65
-132 66 67 20 131
0

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