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

On this page are computer-accessible forms for the graph C4[ 120, 26 ] = PL(WH_20(2,0,3,7),[3^20,10^6]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {36, 63} under the group generated by the following permutations:

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

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

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