[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 119, 1 ] = C_119(1,50).

(I) Following is a form readable by MAGMA:

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

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

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

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