Graph forms
for C4 [ 140, 4 ] = {4,4}_<12,2>
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 140, 4 ] =
{4,4}_<12,2>.
(I) Following is a form readable by MAGMA:
g:=Graph<140|{ {2, 3}, {138, 139}, {136, 137}, {134, 135}, {132, 133}, {130,
131}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {120, 121}, {118, 119},
{116, 117}, {114, 115}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38,
39}, {36, 37}, {34, 35}, {32, 33}, {30, 31}, {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}, {50, 51}, {52, 53}, {54, 55}, {56, 57}, {58, 59}, {60, 61}, {62, 63},
{64, 65}, {66, 67}, {68, 69}, {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}, {1, 2}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {121,
122}, {117, 118}, {45, 46}, {41, 42}, {37, 38}, {33, 34}, {5, 6}, {9, 10}, {13,
14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {49, 50}, {53, 54}, {57, 58}, {61,
62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93,
94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {3, 4}, {139,
140}, {131, 132}, {123, 124}, {115, 116}, {43, 44}, {35, 36}, {11, 12}, {19,
20}, {27, 28}, {51, 52}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {99,
100}, {107, 108}, {7, 8}, {135, 136}, {119, 120}, {39, 40}, {23, 24}, {55, 56},
{71, 72}, {87, 88}, {103, 104}, {15, 16}, {47, 48}, {79, 80}, {111, 112}, {64,
122}, {65, 123}, {68, 126}, {69, 127}, {66, 124}, {67, 125}, {31, 32}, {95, 96},
{1, 71}, {48, 118}, {47, 105}, {46, 104}, {41, 111}, {40, 110}, {39, 97}, {38,
96}, {33, 103}, {32, 102}, {31, 89}, {30, 88}, {8, 78}, {9, 79}, {14, 72}, {15,
73}, {16, 86}, {17, 87}, {22, 80}, {23, 81}, {24, 94}, {25, 95}, {49, 119}, {54,
112}, {55, 113}, {56, 126}, {57, 127}, {62, 120}, {63, 121}, {1, 70}, {2, 72},
{45, 103}, {44, 102}, {41, 99}, {40, 98}, {39, 109}, {38, 108}, {35, 105}, {34,
104}, {3, 73}, {6, 76}, {7, 77}, {13, 71}, {18, 88}, {19, 89}, {22, 92}, {23,
93}, {24, 82}, {25, 83}, {28, 86}, {29, 87}, {50, 120}, {51, 121}, {54, 124},
{55, 125}, {56, 114}, {57, 115}, {60, 118}, {61, 119}, {4, 74}, {43, 101}, {42,
100}, {37, 107}, {36, 106}, {5, 75}, {20, 90}, {21, 91}, {26, 84}, {27, 85},
{52, 122}, {53, 123}, {58, 116}, {59, 117}, {10, 80}, {48, 106}, {47, 117}, {46,
116}, {43, 113}, {42, 112}, {11, 81}, {14, 84}, {15, 85}, {16, 74}, {17, 75},
{20, 78}, {21, 79}, {49, 107}, {52, 110}, {53, 111}, {12, 82}, {45, 115}, {44,
114}, {13, 83}, {18, 76}, {19, 77}, {50, 108}, {51, 109}, {26, 96}, {37, 95},
{36, 94}, {33, 91}, {32, 90}, {31, 101}, {30, 100}, {27, 97}, {28, 98}, {35,
93}, {34, 92}, {29, 99}, {63, 64}, {1, 129}, {2, 130}, {3, 131}, {4, 132}, {5,
133}, {6, 134}, {7, 135}, {8, 136}, {9, 137}, {10, 138}, {11, 139}, {12, 140},
{58, 128}, {59, 129}, {62, 132}, {63, 133}, {60, 130}, {61, 131}, {64, 134},
{65, 135}, {70, 128}, {66, 136}, {67, 137}, {70, 140}, {71, 140}, {68, 138},
{69, 139}, {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, 131, 132,
133, 134, 135, 136, 137, 138, 139, 140) (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 **************
b: (2, 129)(3, 59)(4, 117)(5, 47)(6, 105)(7, 35)(8, 93)(9, 23)(10, 81)(12,
139)(13, 69)(14, 127)(15, 57)(16, 115)(17, 45)(18, 103)(19, 33)(20, 91)(22,
79)(24, 137)(25, 67)(26, 125)(27, 55)(28, 113)(29, 43)(30, 101)(32, 89)(34,
77)(36, 135)(37, 65)(38, 123)(39, 53)(40, 111)(42, 99)(44, 87)(46, 75)(48,
133)(49, 63)(50, 121)(52, 109)(54, 97)(56, 85)(58, 73)(60, 131)(62, 119)(64,
107)(66, 95)(68, 83)(70, 71)(72, 128)(74, 116)(76, 104)(78, 92)(82, 138)(84,
126)(86, 114)(88, 102)(94, 136)(96, 124)(98, 112)(106, 134)(108, 122)(118,
132)
c: (2, 70)(3, 69)(4, 68)(5, 67)(6, 66)(7, 65)(8, 64)(9, 63)(10, 62)(11, 61)(12,
60)(13, 59)(14, 58)(15, 57)(16, 56)(17, 55)(18, 54)(19, 53)(20, 52)(21, 51)(22,
50)(23, 49)(24, 48)(25, 47)(26, 46)(27, 45)(28, 44)(29, 43)(30, 42)(31, 41)(32,
40)(33, 39)(34, 38)(35, 37)(71, 129)(72, 128)(73, 127)(74, 126)(75, 125)(76,
124)(77, 123)(78, 122)(79, 121)(80, 120)(81, 119)(82, 118)(83, 117)(84, 116)(85,
115)(86, 114)(87, 113)(88, 112)(89, 111)(90, 110)(91, 109)(92, 108)(93, 107)(94,
106)(95, 105)(96, 104)(97, 103)(98, 102)(99, 101)(130, 140)(131, 139)(132,
138)(133, 137)(134, 136)
C4[ 140, 4 ]
140
-1 2 70 71 129
-2 1 3 72 130
-3 2 4 73 131
-4 132 3 5 74
-5 133 4 6 75
-6 134 5 7 76
-7 77 135 6 8
-8 78 136 7 9
-9 79 137 8 10
-10 11 80 138 9
-11 12 81 139 10
-12 11 13 82 140
-13 12 14 71 83
-14 13 15 72 84
-15 14 16 73 85
-16 15 17 74 86
-17 16 18 75 87
-18 88 17 19 76
-19 77 89 18 20
-20 78 90 19 21
-21 22 79 91 20
-22 23 80 92 21
-23 22 24 81 93
-24 23 25 82 94
-25 24 26 83 95
-26 25 27 84 96
-27 26 28 85 97
-28 27 29 86 98
-29 99 28 30 87
-30 88 100 29 31
-31 89 101 30 32
-32 33 90 102 31
-33 34 91 103 32
-34 33 35 92 104
-35 34 36 93 105
-36 35 37 94 106
-37 36 38 95 107
-38 37 39 96 108
-39 38 40 97 109
-40 110 39 41 98
-41 99 111 40 42
-42 100 112 41 43
-43 44 101 113 42
-44 45 102 114 43
-45 44 46 103 115
-46 45 47 104 116
-47 46 48 105 117
-48 47 49 106 118
-49 48 50 107 119
-50 49 51 108 120
-51 121 50 52 109
-52 110 122 51 53
-53 111 123 52 54
-54 55 112 124 53
-55 56 113 125 54
-56 55 57 114 126
-57 56 58 115 127
-58 57 59 116 128
-59 58 60 117 129
-60 59 61 118 130
-61 60 62 119 131
-62 132 61 63 120
-63 121 133 62 64
-64 122 134 63 65
-65 66 123 135 64
-66 67 124 136 65
-67 66 68 125 137
-68 67 69 126 138
-69 68 70 127 139
-70 1 69 128 140
-71 1 13 72 140
-72 2 14 71 73
-73 3 15 72 74
-74 4 16 73 75
-75 5 17 74 76
-76 77 6 18 75
-77 78 7 19 76
-78 77 79 8 20
-79 78 80 9 21
-80 22 79 81 10
-81 11 23 80 82
-82 12 24 81 83
-83 13 25 82 84
-84 14 26 83 85
-85 15 27 84 86
-86 16 28 85 87
-87 88 17 29 86
-88 89 18 30 87
-89 88 90 19 31
-90 89 91 20 32
-91 33 90 92 21
-92 22 34 91 93
-93 23 35 92 94
-94 24 36 93 95
-95 25 37 94 96
-96 26 38 95 97
-97 27 39 96 98
-98 99 28 40 97
-99 100 29 41 98
-100 99 101 30 42
-101 100 102 31 43
-102 44 101 103 32
-103 33 45 102 104
-104 34 46 103 105
-105 35 47 104 106
-106 36 48 105 107
-107 37 49 106 108
-108 38 50 107 109
-109 110 39 51 108
-110 111 40 52 109
-111 110 112 41 53
-112 111 113 42 54
-113 55 112 114 43
-114 44 56 113 115
-115 45 57 114 116
-116 46 58 115 117
-117 47 59 116 118
-118 48 60 117 119
-119 49 61 118 120
-120 121 50 62 119
-121 122 51 63 120
-122 121 123 52 64
-123 122 124 53 65
-124 66 123 125 54
-125 55 67 124 126
-126 56 68 125 127
-127 57 69 126 128
-128 58 70 127 129
-129 1 59 128 130
-130 2 60 129 131
-131 132 3 61 130
-132 133 4 62 131
-133 132 134 5 63
-134 133 135 6 64
-135 134 136 7 65
-136 66 135 137 8
-137 67 136 138 9
-138 68 137 139 10
-139 11 69 138 140
-140 12 70 71 139
0