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

On this page are computer-accessible forms for the graph C4[ 160, 57 ] = UG(ATD[160,74]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {1, 3} under the group generated by the following permutations:

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

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

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