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

On this page are computer-accessible forms for the graph C4[ 160, 33 ] = PL(MC3(10,8,1,5,3,4,1),[4^20,20^4]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {80, 83} under the group generated by the following permutations:

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

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

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