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

On this page are computer-accessible forms for the graph C4[ 112, 9 ] = PL(Curtain_14(1,7,2,8,9),[4^14,8^7]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {56, 62} under the group generated by the following permutations:

a: (2, 4)(3, 9)(5, 14)(6, 17)(7, 30)(8, 47, 16, 35)(11, 25)(12, 33)(13, 54, 24, 44)(15, 19)(18, 21, 29, 32)(20, 52, 27, 55)(22, 23)(26, 28, 40, 42)(31, 56, 41, 51)(34, 37, 43, 49)(36, 50)(38, 46, 45, 53)(57, 63)(58, 108)(59, 78)(60, 89)(61, 67, 99, 75)(62, 65)(64, 105)(66, 77, 72, 73)(68, 84)(69, 94)(70, 92)(71, 83)(74, 76)(79, 111)(80, 107)(81, 88)(82, 97, 101, 87)(86, 95)(90, 109)(91, 106, 103, 112)(93, 100)(96, 98)(104, 110)
b: (1, 3)(2, 6)(4, 5)(7, 36, 15, 48)(8, 19, 29, 9)(10, 11)(12, 39, 23, 50)(13, 22, 40, 14)(16, 30, 18, 17)(20, 54, 27, 47)(21, 34)(24, 33, 26, 25)(28, 43)(31, 44, 41, 35)(32, 46)(37, 56)(38, 55)(42, 53)(45, 51)(49, 52)(57, 70, 88, 83)(58, 98, 90, 111)(60, 86, 107, 78)(61, 64, 101, 89)(62, 67)(63, 84)(65, 73)(66, 80, 106, 92)(68, 69, 93, 105)(71, 82, 96, 99)(72, 79, 112, 94)(74, 75)(76, 77)(81, 95)(85, 97)(87, 102)(91, 110)(100, 109)(103, 104)
c: (19, 30)(21, 35)(22, 33)(28, 44)(32, 47)(42, 54)(51, 56)(52, 55)(64, 94)(67, 87)(71, 92)(73, 91)(75, 97)(77, 103)(79, 96)(80, 89)
d: (21, 32)(28, 42)(35, 47)(37, 49)(38, 45)(44, 54)(51, 56)(52, 55)(67, 75)(73, 77)(87, 97)(91, 103)
e: (19, 30)(20, 31)(21, 47, 32, 35)(22, 33)(27, 41)(28, 54, 42, 44)(37, 55, 49, 52)(38, 56, 45, 51)(62, 110)(64, 94)(65, 85)(67, 77, 75, 73)(71, 92)(74, 104)(76, 102)(79, 96)(80, 89)(87, 91, 97, 103)
f: (3, 6)(5, 11)(7, 15)(8, 13)(12, 23)(16, 24)(18, 26)(29, 40)(60, 98)(69, 70)(83, 105)(107, 111)
g: (20, 31)(27, 41)(34, 46)(37, 45)(38, 49)(43, 53)(51, 55)(52, 56)(62, 74)(65, 76)(85, 102)(104, 110)
h: (7, 15)(8, 18)(12, 23)(13, 26)(16, 29)(24, 40)(34, 43)(46, 53)(60, 107)(61, 82)(66, 112)(69, 105)(70, 83)(72, 106)(98, 111)(99, 101)
m: (7, 15)(8, 29, 16, 18)(12, 23)(13, 40, 24, 26)(19, 30)(20, 46, 41, 43)(21, 47, 32, 35)(22, 33)(27, 53, 31, 34)(28, 54, 42, 44)(37, 51, 38, 52)(45, 55, 49, 56)(60, 107)(61, 66, 99, 72)(62, 76, 74, 65)(64, 94)(67, 77, 75, 73)(69, 105)(70, 83)(71, 92)(79, 96)(80, 89)(82, 106, 101, 112)(85, 104, 102, 110)(87, 91, 97, 103)(98, 111)
n1: (9, 19)(14, 22)(17, 30)(25, 33)(35, 44)(36, 48)(39, 50)(47, 54)(57, 88)(58, 90)(64, 89)(68, 93)(71, 96)(78, 86)(79, 94)(80, 92)
a1: (9, 17)(14, 25)(19, 30)(21, 28)(22, 33)(32, 42)(35, 44)(47, 54)(64, 71)(79, 80)(89, 96)(92, 94)
b1: (3, 7)(5, 12)(6, 15)(11, 23)(18, 26)(29, 40)(36, 39)(48, 50)(59, 95)(60, 83)(63, 81)(69, 107)(70, 111)(84, 100)(98, 105)(108, 109)
c1: (1, 2)(4, 10)(9, 14)(17, 25)(19, 22)(30, 33)(36, 48)(39, 50)(57, 68)(58, 78)(86, 90)(88, 93)

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

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