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

On this page are computer-accessible forms for the graph C4[ 160, 36 ] = PL(KE_20(5,1,10,19,5),[4^20,40^2]).

(I) Following is a form readable by MAGMA:

g:=Graph<160|{ {69, 84}, {66, 84}, {67, 84}, {68, 94}, {71, 93}, {78, 85}, {67, 95}, {66, 95}, {75, 85}, {69, 101}, {78, 110}, {68, 102}, {71, 100}, {75, 110}, {70, 97}, {76, 100}, {70, 117}, {69, 113}, {76, 116}, {64, 127}, {41, 105}, {50, 114}, {24, 89}, {45, 108}, {46, 111}, {57, 120}, {20, 86}, {36, 102}, {51, 113}, {58, 120}, {18, 81}, {39, 100}, {36, 103}, {27, 88}, {20, 87}, {23, 83}, {37, 97}, {22, 83}, {46, 107}, {52, 113}, {59, 126}, {30, 88}, {31, 89}, {16, 87}, {18, 85}, {42, 109}, {26, 82}, {52, 124}, {27, 82}, {37, 111}, {45, 103}, {57, 115}, {34, 105}, {51, 120}, {56, 116}, {51, 126}, {28, 82}, {38, 104}, {35, 109}, {32, 111}, {42, 101}, {38, 118}, {47, 127}, {34, 115}, {40, 122}, {56, 106}, {6, 85}, {37, 118}, {15, 92}, {8, 91}, {15, 91}, {50, 102}, {12, 89}, {43, 126}, {7, 81}, {53, 99}, {36, 115}, {41, 126}, {54, 97}, {41, 113}, {3, 90}, {37, 124}, {32, 121}, {10, 83}, {44, 117}, {48, 105}, {7, 93}, {13, 87}, {11, 81}, {9, 83}, {43, 112}, {44, 119}, {6, 90}, {41, 117}, {39, 123}, {49, 109}, {55, 106}, {3, 93}, {9, 87}, {4, 90}, {1, 94}, {14, 81}, {5, 90}, {28, 124}, {1, 96}, {22, 119}, {3, 98}, {58, 91}, {2, 96}, {13, 110}, {27, 120}, {25, 122}, {24, 123}, {59, 95}, {1, 100}, {21, 112}, {7, 98}, {6, 96}, {21, 115}, {16, 118}, {14, 104}, {17, 118}, {49, 86}, {59, 92}, {2, 106}, {10, 98}, {3, 107}, {15, 102}, {30, 119}, {53, 92}, {22, 124}, {24, 114}, {53, 95}, {55, 93}, {25, 114}, {48, 91}, {51, 88}, {9, 101}, {1, 108}, {29, 112}, {5, 104}, {2, 108}, {19, 125}, {5, 107}, {54, 88}, {21, 122}, {26, 117}, {2, 114}, {11, 123}, {5, 116}, {28, 109}, {16, 97}, {12, 125}, {8, 122}, {24, 106}, {21, 103}, {18, 96}, {15, 125}, {17, 98}, {26, 105}, {13, 121}, {8, 125}, {35, 86}, {16, 101}, {40, 94}, {14, 121}, {8, 112}, {36, 92}, {31, 103}, {27, 99}, {42, 82}, {46, 86}, {6, 127}, {39, 94}, {26, 99}, {22, 111}, {14, 116}, {20, 110}, {4, 127}, {7, 121}, {39, 89}, {29, 99}, {9, 119}, {42, 84}, {4, 123}, {23, 104}, {20, 107}, {19, 108}, {28, 158}, {17, 146}, {19, 151}, {25, 159}, {10, 130}, {12, 133}, {11, 129}, {30, 149}, {43, 160}, {31, 147}, {23, 153}, {13, 157}, {29, 141}, {29, 143}, {11, 152}, {25, 138}, {18, 129}, {23, 130}, {10, 146}, {30, 134}, {31, 133}, {12, 151}, {19, 136}, {59, 160}, {4, 152}, {60, 160}, {17, 140}, {33, 129}, {44, 142}, {63, 157}, {50, 144}, {56, 154}, {49, 146}, {61, 158}, {45, 136}, {43, 141}, {63, 153}, {32, 135}, {40, 128}, {61, 149}, {34, 139}, {62, 151}, {46, 135}, {38, 140}, {60, 150}, {52, 158}, {54, 156}, {48, 155}, {56, 148}, {58, 150}, {35, 142}, {55, 154}, {62, 144}, {57, 150}, {47, 159}, {61, 141}, {54, 134}, {63, 142}, {57, 139}, {48, 131}, {55, 132}, {33, 148}, {33, 151}, {63, 137}, {60, 138}, {40, 159}, {49, 134}, {50, 138}, {34, 155}, {44, 149}, {58, 131}, {60, 133}, {35, 153}, {62, 132}, {53, 143}, {47, 148}, {47, 147}, {32, 157}, {52, 137}, {33, 159}, {61, 131}, {45, 147}, {38, 153}, {62, 129}, {72, 136}, {79, 143}, {66, 131}, {80, 145}, {72, 138}, {77, 143}, {73, 139}, {71, 132}, {74, 137}, {64, 132}, {73, 141}, {68, 128}, {65, 135}, {75, 140}, {79, 136}, {67, 139}, {80, 152}, {77, 133}, {70, 142}, {69, 137}, {78, 130}, {74, 134}, {65, 140}, {77, 128}, {79, 128}, {64, 144}, {75, 154}, {80, 130}, {64, 147}, {72, 155}, {68, 144}, {79, 155}, {73, 156}, {71, 145}, {66, 149}, {80, 135}, {74, 157}, {73, 158}, {74, 146}, {76, 148}, {65, 152}, {70, 156}, {65, 154}, {77, 150}, {76, 145}, {67, 156}, {78, 145}, {72, 160} }>;

(II) A more general form is to represent the graph as the orbit of {69, 84} under the group generated by the following permutations:

a: (1, 2, 24, 39)(3, 5, 14, 7)(4, 76, 18, 55)(6, 56, 11, 71)(8, 15, 36, 21)(9, 16, 37, 22)(10, 20, 38, 32)(12, 68, 45, 25)(13, 17, 46, 23)(19, 50, 31, 40)(26, 41, 51, 27)(28, 44, 69, 54)(29, 48, 59, 57)(30, 42, 70, 52)(33, 62, 64, 47)(34, 43, 58, 53)(35, 63, 74, 49)(60, 77, 79, 72)(61, 66, 67, 73)(65, 80, 78, 75)(81, 93, 90, 116)(82, 117, 113, 88)(83, 87, 118, 111)(84, 156, 158, 149)(85, 154, 152, 145)(86, 153, 157, 146)(89, 94, 108, 114)(91, 92, 115, 112)(95, 139, 141, 131)(96, 106, 123, 100)(97, 124, 119, 101)(98, 107, 104, 121)(99, 105, 126, 120)(102, 103, 122, 125)(109, 142, 137, 134)(110, 140, 135, 130)(127, 148, 129, 132)(128, 136, 138, 133)(143, 155, 160, 150)(144, 147, 159, 151)
b: (1, 4, 75, 32, 9, 28, 67, 43, 15, 40, 64, 56, 7, 23, 49, 70, 51, 48, 77, 45, 24, 18, 80, 20, 37, 69, 61, 53, 21, 50, 33, 71, 5, 17, 63, 30, 26, 57, 72, 12)(2, 11, 78, 46, 16, 52, 66, 29, 36, 25, 62, 76, 3, 38, 74, 44, 27, 34, 60, 19, 39, 6, 65, 13, 22, 42, 73, 59, 8, 68, 47, 55, 14, 10, 35, 54, 41, 58, 79, 31)(81, 130, 86, 97, 113, 131, 143, 103, 114, 129, 145, 107, 118, 137, 149, 99, 115, 138, 151, 100, 90, 140, 157, 119, 82, 139, 160, 125, 94, 127, 154, 121, 83, 109, 156, 126, 91, 128, 147, 106)(84, 141, 92, 122, 144, 148, 93, 104, 146, 142, 88, 105, 150, 136, 89, 96, 152, 110, 111, 101, 158, 95, 112, 102, 159, 132, 116, 98, 153, 134, 117, 120, 155, 133, 108, 123, 85, 135, 87, 124)
c: (3, 8)(4, 12)(5, 15)(6, 19)(7, 21)(9, 26)(10, 29)(11, 31)(13, 34)(14, 36)(16, 41)(17, 43)(18, 45)(20, 48)(22, 27)(23, 53)(25, 55)(28, 30)(32, 57)(33, 64)(35, 66)(37, 51)(38, 59)(40, 71)(42, 44)(46, 58)(47, 62)(49, 61)(50, 56)(52, 54)(60, 65)(63, 67)(68, 76)(69, 70)(72, 75)(73, 74)(77, 80)(78, 79)(81, 103)(82, 119)(83, 99)(84, 142)(85, 136)(86, 131)(87, 105)(88, 124)(89, 123)(90, 125)(91, 107)(92, 104)(93, 122)(94, 100)(95, 153)(96, 108)(97, 113)(98, 112)(101, 117)(102, 116)(106, 114)(109, 149)(110, 155)(111, 120)(115, 121)(118, 126)(127, 151)(128, 145)(129, 147)(130, 143)(132, 159)(133, 152)(134, 158)(135, 150)(137, 156)(138, 154)(139, 157)(140, 160)(141, 146)(144, 148)
d: (2, 39)(3, 14)(4, 56)(6, 76)(8, 36)(10, 13)(11, 55)(12, 50)(16, 22)(17, 32)(18, 71)(19, 68)(20, 23)(25, 31)(27, 41)(28, 70)(29, 34)(30, 69)(33, 64)(38, 46)(40, 45)(42, 44)(43, 57)(48, 53)(49, 63)(52, 54)(58, 59)(61, 67)(72, 77)(75, 80)(81, 93)(82, 117)(83, 87)(84, 149)(85, 145)(86, 153)(88, 113)(89, 114)(90, 116)(91, 92)(94, 108)(95, 131)(96, 100)(97, 124)(98, 121)(99, 105)(101, 119)(102, 125)(103, 122)(104, 107)(106, 123)(109, 142)(110, 130)(111, 118)(112, 115)(120, 126)(127, 148)(128, 136)(129, 132)(133, 138)(134, 137)(135, 140)(139, 141)(143, 155)(144, 151)(146, 157)(147, 159)(150, 160)(152, 154)(156, 158)
e: (1, 3, 37, 41, 15, 39, 5, 16, 51, 8)(2, 7, 22, 26, 36, 24, 14, 9, 27, 21)(4, 38, 69, 58, 40, 6, 17, 52, 48, 68)(10, 28, 34, 50, 11, 23, 42, 57, 25, 18)(12, 76, 20, 54, 43, 19, 71, 46, 70, 59)(13, 30, 29, 45, 55, 32, 44, 53, 31, 56)(33, 78, 49, 73, 72, 62, 80, 35, 67, 60)(47, 75, 74, 61, 79, 64, 65, 63, 66, 77)(81, 83, 82, 115, 114)(84, 150, 159, 85, 146, 158, 155, 144, 152, 153)(86, 156, 160, 151, 145)(87, 88, 112, 108, 93, 111, 117, 92, 89, 116)(90, 118, 113, 91, 94)(95, 133, 148, 110, 134, 141, 136, 132, 135, 142)(96, 98, 124, 105, 102, 123, 104, 101, 120, 122)(97, 126, 125, 100, 107)(99, 103, 106, 121, 119)(109, 139, 138, 129, 130)(127, 140, 137, 131, 128)(143, 147, 154, 157, 149)

(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[ 160, 36 ]
160
-1 100 94 96 108
-2 114 106 96 108
-3 90 93 107 98
-4 90 123 127 152
-5 90 104 116 107
-6 90 127 85 96
-7 121 81 93 98
-8 122 112 91 125
-9 101 83 119 87
-10 146 83 130 98
-11 123 81 129 152
-12 89 133 125 151
-13 110 121 157 87
-14 121 81 104 116
-15 91 102 92 125
-16 101 118 97 87
-17 146 118 140 98
-18 81 85 96 129
-19 125 136 151 108
-20 110 107 86 87
-21 122 112 103 115
-22 111 124 83 119
-23 104 83 130 153
-24 89 123 114 106
-25 122 114 159 138
-26 99 82 105 117
-27 88 99 82 120
-28 124 158 82 109
-29 99 143 112 141
-30 88 134 149 119
-31 89 133 103 147
-32 121 111 135 157
-33 148 159 129 151
-34 155 115 105 139
-35 86 109 142 153
-36 102 92 103 115
-37 111 124 118 97
-38 104 118 140 153
-39 89 100 123 94
-40 122 159 94 128
-41 113 126 105 117
-42 101 82 84 109
-43 112 126 160 141
-44 149 117 119 142
-45 103 136 147 108
-46 111 135 107 86
-47 147 148 159 127
-48 155 91 105 131
-49 134 146 86 109
-50 144 102 114 138
-51 88 113 126 120
-52 113 124 158 137
-53 99 143 92 95
-54 88 134 156 97
-55 132 154 93 106
-56 154 148 116 106
-57 115 139 150 120
-58 91 150 120 131
-59 92 126 160 95
-60 133 138 160 150
-61 158 149 141 131
-62 132 144 129 151
-63 157 137 142 153
-64 132 144 147 127
-65 154 135 140 152
-66 149 84 95 131
-67 156 84 95 139
-68 144 102 94 128
-69 101 113 137 84
-70 156 117 97 142
-71 132 100 145 93
-72 155 136 138 160
-73 156 158 139 141
-74 134 146 157 137
-75 110 154 85 140
-76 100 145 148 116
-77 143 133 128 150
-78 110 145 85 130
-79 143 155 136 128
-80 145 135 130 152
-81 11 14 7 18
-82 26 27 28 42
-83 22 23 9 10
-84 66 67 69 42
-85 78 6 18 75
-86 35 46 49 20
-87 13 16 9 20
-88 27 51 30 54
-89 12 24 39 31
-90 3 4 5 6
-91 58 15 48 8
-92 36 15 59 53
-93 55 3 71 7
-94 1 68 39 40
-95 66 67 59 53
-96 1 2 6 18
-97 37 70 16 54
-98 3 17 7 10
-99 26 27 29 53
-100 1 71 39 76
-101 69 16 9 42
-102 68 36 15 50
-103 45 36 31 21
-104 23 14 5 38
-105 34 26 48 41
-106 55 56 2 24
-107 46 3 5 20
-108 1 45 2 19
-109 35 49 28 42
-110 78 13 20 75
-111 22 46 37 32
-112 29 8 21 43
-113 69 51 41 52
-114 2 24 25 50
-115 34 57 36 21
-116 56 14 5 76
-117 44 26 70 41
-118 37 16 38 17
-119 22 44 30 9
-120 57 58 27 51
-121 13 14 7 32
-122 25 40 8 21
-123 11 24 4 39
-124 22 37 28 52
-125 12 15 8 19
-126 59 51 41 43
-127 47 4 6 64
-128 77 68 79 40
-129 11 33 18 62
-130 23 78 80 10
-131 66 58 48 61
-132 55 71 62 64
-133 77 12 60 31
-134 49 30 74 54
-135 46 80 32 65
-136 45 79 72 19
-137 69 52 63 74
-138 25 60 50 72
-139 34 67 57 73
-140 38 17 75 65
-141 61 29 73 43
-142 44 35 70 63
-143 77 79 29 53
-144 68 50 62 64
-145 78 80 71 76
-146 49 17 74 10
-147 45 47 31 64
-148 33 56 47 76
-149 44 66 61 30
-150 77 57 58 60
-151 33 12 62 19
-152 11 80 4 65
-153 23 35 38 63
-154 55 56 75 65
-155 34 79 48 72
-156 67 70 73 54
-157 13 63 74 32
-158 28 61 73 52
-159 33 25 47 40
-160 59 60 72 43
0

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