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

On this page are computer-accessible forms for the graph C4[ 162, 15 ] = UG(ATD[162,16]).

(I) Following is a form readable by MAGMA:

g:=Graph<162|{ {44, 47}, {25, 29}, {144, 148}, {1, 4}, {147, 150}, {144, 149}, {123, 126}, {57, 60}, {88, 93}, {99, 102}, {1, 7}, {147, 149}, {2, 4}, {80, 86}, {26, 29}, {123, 124}, {80, 87}, {90, 93}, {99, 100}, {5, 13}, {1, 8}, {49, 56}, {4, 13}, {3, 10}, {50, 56}, {1, 10}, {55, 60}, {18, 30}, {98, 110}, {64, 77}, {99, 110}, {64, 78}, {18, 29}, {7, 22}, {141, 156}, {13, 28}, {11, 25}, {132, 150}, {68, 86}, {14, 28}, {10, 25}, {69, 86}, {130, 150}, {140, 152}, {6, 19}, {138, 159}, {7, 17}, {137, 159}, {129, 151}, {4, 19}, {139, 156}, {8, 31}, {7, 16}, {38, 62}, {129, 153}, {96, 120}, {39, 62}, {128, 155}, {140, 151}, {44, 48}, {111, 114}, {111, 113}, {9, 22}, {72, 104}, {75, 107}, {31, 62}, {84, 117}, {9, 43}, {31, 61}, {22, 52}, {19, 49}, {73, 107}, {8, 43}, {23, 52}, {82, 113}, {27, 63}, {13, 40}, {135, 162}, {26, 63}, {20, 49}, {84, 113}, {94, 120}, {135, 161}, {15, 40}, {84, 115}, {8, 32}, {12, 37}, {69, 108}, {78, 103}, {14, 36}, {29, 55}, {15, 36}, {28, 55}, {76, 103}, {81, 125}, {142, 162}, {143, 162}, {10, 37}, {67, 108}, {71, 104}, {81, 126}, {9, 57}, {145, 161}, {89, 105}, {9, 56}, {16, 34}, {68, 118}, {16, 35}, {146, 161}, {21, 35}, {20, 35}, {2, 58}, {17, 41}, {71, 127}, {72, 112}, {2, 59}, {83, 106}, {92, 101}, {14, 52}, {72, 114}, {14, 53}, {17, 42}, {18, 46}, {68, 120}, {74, 118}, {28, 33}, {73, 116}, {74, 119}, {16, 46}, {74, 116}, {89, 103}, {91, 101}, {30, 33}, {83, 108}, {42, 106}, {54, 118}, {51, 115}, {48, 112}, {45, 109}, {40, 106}, {63, 125}, {52, 118}, {49, 115}, {42, 104}, {23, 84}, {62, 125}, {60, 127}, {47, 108}, {6, 66}, {47, 107}, {26, 94}, {23, 83}, {26, 95}, {58, 127}, {43, 109}, {5, 66}, {11, 65}, {12, 65}, {42, 103}, {31, 82}, {2, 76}, {59, 117}, {47, 97}, {3, 76}, {59, 116}, {46, 97}, {19, 67}, {25, 73}, {22, 70}, {41, 120}, {27, 73}, {55, 100}, {24, 77}, {21, 67}, {33, 121}, {36, 124}, {32, 121}, {23, 77}, {53, 105}, {56, 100}, {18, 79}, {17, 79}, {46, 112}, {41, 119}, {24, 70}, {35, 124}, {54, 105}, {37, 69}, {57, 89}, {39, 70}, {57, 88}, {24, 122}, {44, 78}, {39, 69}, {34, 64}, {24, 123}, {45, 78}, {34, 65}, {5, 97}, {51, 87}, {3, 102}, {50, 87}, {3, 101}, {5, 98}, {32, 74}, {32, 75}, {48, 92}, {58, 86}, {48, 93}, {39, 72}, {58, 85}, {36, 85}, {41, 91}, {44, 94}, {33, 82}, {40, 91}, {43, 94}, {34, 85}, {21, 109}, {21, 111}, {45, 81}, {37, 88}, {61, 64}, {45, 80}, {38, 88}, {61, 66}, {20, 156}, {6, 143}, {11, 129}, {11, 128}, {20, 155}, {6, 144}, {30, 134}, {30, 133}, {12, 145}, {12, 147}, {54, 144}, {59, 146}, {15, 161}, {60, 146}, {15, 160}, {51, 135}, {51, 133}, {54, 142}, {27, 162}, {53, 140}, {38, 156}, {50, 136}, {27, 160}, {50, 137}, {38, 154}, {63, 130}, {53, 139}, {61, 130}, {67, 131}, {81, 145}, {75, 138}, {85, 148}, {92, 157}, {71, 133}, {70, 133}, {75, 136}, {87, 148}, {92, 159}, {76, 136}, {79, 139}, {77, 136}, {71, 129}, {68, 131}, {93, 151}, {91, 151}, {112, 160}, {113, 160}, {82, 128}, {95, 141}, {83, 128}, {95, 140}, {95, 137}, {80, 139}, {65, 157}, {90, 134}, {89, 132}, {90, 135}, {79, 145}, {90, 132}, {66, 157}, {126, 158}, {126, 159}, {102, 130}, {127, 155}, {125, 153}, {110, 138}, {114, 150}, {102, 131}, {124, 153}, {111, 138}, {114, 148}, {110, 134}, {117, 157}, {96, 137}, {100, 142}, {101, 142}, {109, 134}, {115, 152}, {117, 158}, {116, 152}, {119, 155}, {119, 154}, {96, 146}, {96, 147}, {121, 141}, {123, 143}, {104, 158}, {121, 143}, {105, 158}, {122, 141}, {99, 154}, {122, 131}, {98, 152}, {97, 154}, {98, 153}, {107, 149}, {122, 132}, {106, 149} }>;

(II) A more general form is to represent the graph as the orbit of {44, 47} under the group generated by the following permutations:

a: (1, 2)(5, 6)(7, 58)(8, 59)(9, 60)(10, 76)(11, 77)(12, 78)(13, 19)(14, 20)(15, 21)(16, 85)(17, 86)(18, 87)(22, 127)(23, 128)(24, 129)(25, 136)(26, 137)(27, 138)(28, 49)(29, 50)(30, 51)(31, 117)(32, 116)(33, 115)(35, 36)(37, 103)(38, 105)(39, 104)(40, 67)(41, 68)(42, 69)(43, 146)(44, 147)(45, 145)(46, 148)(47, 149)(48, 150)(52, 155)(53, 156)(54, 154)(55, 56)(61, 157)(62, 158)(63, 159)(64, 65)(70, 71)(73, 75)(79, 80)(82, 84)(88, 89)(91, 131)(92, 130)(93, 132)(94, 96)(97, 144)(98, 143)(99, 142)(101, 102)(106, 108)(109, 161)(110, 162)(111, 160)(112, 114)(118, 119)(121, 152)(122, 151)(123, 153)(125, 126)(134, 135)(140, 141)
b: (1, 4, 13, 28, 55, 100, 142, 162, 135, 90, 132, 150, 114, 72, 39, 69, 108, 83, 128, 155, 119, 74, 116, 152, 140, 95, 137, 159, 126, 81, 45, 78, 64, 34, 16, 7)(2, 5, 14, 29, 56, 101, 143, 161, 134, 89, 130, 148, 112, 70, 37, 67, 106, 82, 127, 154, 118, 73, 115, 151, 141, 96, 138, 158, 125, 80, 44, 77, 65, 35, 17, 8)(3, 6, 15, 30, 57, 102, 144, 160, 133, 88, 131, 149, 113, 71, 38, 68, 107, 84, 129, 156, 120, 75, 117, 153, 139, 94, 136, 157, 124, 79, 43, 76, 66, 36, 18, 9)(10, 19, 40, 33, 60, 99, 54, 27, 51, 93, 122, 147, 111, 104, 62, 86, 47, 23, 11, 20, 41, 32, 59, 98, 53, 26, 50, 92, 123, 145, 109, 103, 61, 85, 46, 22)(12, 21, 42, 31, 58, 97, 52, 25, 49, 91, 121, 146, 110, 105, 63, 87, 48, 24)
c: (2, 22)(3, 43)(4, 7)(5, 46)(6, 79)(8, 10)(9, 76)(11, 82)(12, 121)(13, 16)(14, 85)(15, 124)(17, 19)(18, 66)(20, 106)(21, 91)(23, 127)(24, 146)(25, 31)(26, 130)(27, 125)(28, 34)(29, 61)(30, 157)(32, 37)(33, 65)(35, 40)(38, 107)(39, 116)(41, 67)(42, 49)(44, 99)(45, 142)(47, 154)(48, 110)(50, 89)(51, 158)(52, 58)(53, 148)(54, 80)(55, 64)(56, 103)(57, 136)(59, 70)(60, 77)(62, 73)(69, 74)(71, 84)(72, 152)(75, 88)(78, 100)(81, 162)(83, 155)(86, 118)(87, 105)(90, 159)(92, 134)(93, 138)(94, 102)(95, 150)(96, 122)(98, 112)(101, 109)(104, 115)(108, 119)(111, 151)(113, 129)(114, 140)(117, 133)(120, 131)(123, 161)(126, 135)(132, 137)(139, 144)(141, 147)(143, 145)(149, 156)(153, 160)
d: (2, 3)(4, 10)(5, 11)(6, 12)(7, 8)(13, 25)(14, 26)(15, 27)(16, 31)(17, 32)(18, 33)(19, 37)(20, 38)(21, 39)(22, 43)(23, 44)(24, 45)(28, 29)(34, 61)(35, 62)(36, 63)(40, 73)(41, 74)(42, 75)(46, 82)(47, 83)(48, 84)(49, 88)(50, 89)(51, 90)(52, 94)(53, 95)(54, 96)(56, 57)(58, 102)(59, 101)(60, 100)(65, 66)(67, 69)(70, 109)(71, 110)(72, 111)(77, 78)(79, 121)(80, 122)(81, 123)(85, 130)(86, 131)(87, 132)(91, 116)(92, 117)(93, 115)(97, 128)(98, 129)(99, 127)(103, 136)(104, 138)(105, 137)(106, 107)(112, 113)(118, 120)(124, 125)(133, 134)(139, 141)(142, 146)(143, 145)(144, 147)(148, 150)(151, 152)(154, 155)(158, 159)(161, 162)

(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[ 162, 15 ]
162
-1 4 7 8 10
-2 58 4 59 76
-3 101 102 10 76
-4 1 2 13 19
-5 66 13 97 98
-6 66 143 144 19
-7 22 1 16 17
-8 1 31 32 43
-9 22 56 57 43
-10 1 3 25 37
-11 25 128 129 65
-12 145 37 147 65
-13 4 5 28 40
-14 36 28 52 53
-15 36 160 40 161
-16 34 35 46 7
-17 79 7 41 42
-18 46 79 29 30
-19 67 4 49 6
-20 155 35 156 49
-21 67 111 35 109
-22 70 7 52 9
-23 77 83 84 52
-24 77 122 123 70
-25 11 29 73 10
-26 94 29 95 63
-27 160 73 63 162
-28 33 55 13 14
-29 55 25 26 18
-30 33 133 134 18
-31 82 61 62 8
-32 121 8 74 75
-33 121 82 28 30
-34 16 85 64 65
-35 124 16 20 21
-36 14 124 15 85
-37 88 12 69 10
-38 88 154 156 62
-39 69 70 72 62
-40 13 91 15 106
-41 91 17 119 120
-42 103 104 17 106
-43 94 8 9 109
-44 78 47 48 94
-45 78 80 81 109
-46 112 16 18 97
-47 44 107 97 108
-48 44 112 92 93
-49 56 115 19 20
-50 56 136 137 87
-51 133 135 115 87
-52 22 23 14 118
-53 14 105 139 140
-54 144 105 118 142
-55 100 60 28 29
-56 100 49 50 9
-57 88 89 60 9
-58 2 127 85 86
-59 2 146 116 117
-60 55 57 146 127
-61 66 31 64 130
-62 125 38 39 31
-63 26 125 27 130
-64 77 34 78 61
-65 11 12 34 157
-66 157 5 6 61
-67 19 108 21 131
-68 118 86 120 131
-69 37 39 86 108
-70 22 133 24 39
-71 133 104 127 129
-72 112 114 104 39
-73 25 27 116 107
-74 116 118 119 32
-75 136 138 107 32
-76 2 3 103 136
-77 23 24 136 64
-78 44 45 103 64
-79 145 17 18 139
-80 45 139 86 87
-81 45 145 125 126
-82 33 113 128 31
-83 23 106 128 108
-84 23 113 115 117
-85 34 36 58 148
-86 68 58 69 80
-87 80 148 50 51
-88 57 37 38 93
-89 132 57 103 105
-90 132 134 135 93
-91 101 40 41 151
-92 101 157 48 159
-93 88 90 48 151
-94 44 26 43 120
-95 26 137 140 141
-96 146 147 137 120
-97 154 46 47 5
-98 110 5 152 153
-99 110 154 100 102
-100 55 99 56 142
-101 3 91 92 142
-102 99 3 130 131
-103 78 89 42 76
-104 158 71 72 42
-105 89 158 53 54
-106 83 149 40 42
-107 47 149 73 75
-108 67 47 69 83
-109 45 134 21 43
-110 99 134 138 98
-111 113 114 138 21
-112 46 48 72 160
-113 111 82 160 84
-114 111 148 72 150
-115 49 51 84 152
-116 59 73 74 152
-117 157 59 158 84
-118 68 52 74 54
-119 154 155 41 74
-120 68 94 41 96
-121 33 143 141 32
-122 132 24 141 131
-123 143 24 124 126
-124 35 123 36 153
-125 81 62 63 153
-126 123 81 158 159
-127 155 58 60 71
-128 11 155 82 83
-129 11 71 151 153
-130 102 61 150 63
-131 67 122 68 102
-132 89 122 90 150
-133 70 71 51 30
-134 110 90 30 109
-135 90 51 161 162
-136 77 50 75 76
-137 159 50 95 96
-138 110 111 159 75
-139 79 156 80 53
-140 95 151 53 152
-141 121 122 156 95
-142 100 101 162 54
-143 121 123 6 162
-144 148 6 149 54
-145 12 79 81 161
-146 59 60 161 96
-147 12 149 150 96
-148 144 114 85 87
-149 144 147 106 107
-150 132 114 147 130
-151 91 93 129 140
-152 115 116 140 98
-153 124 125 129 98
-154 99 38 97 119
-155 127 128 20 119
-156 38 139 20 141
-157 66 92 117 65
-158 104 126 105 117
-159 92 126 137 138
-160 112 113 15 27
-161 145 135 146 15
-162 143 135 27 142
0

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