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On this page are computer-accessible forms for the graph C4[ 162, 14 ] = UG(ATD[162,14]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {45, 47} under the group generated by the following permutations:

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

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

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