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On this page are computer-accessible forms for the graph C4[ 162, 12 ] = UG(ATD[162,8]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {144, 158} under the group generated by the following permutations:

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

(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.

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&Graph
C4[ 162, 12 ]
162
-1 24 37 73 19
-2 36 31 42 64
-3 78 25 30 63
-4 78 26 29 63
-5 33 34 42 64
-6 23 37 73 20
-7 104 39 74 107
-8 99 100 40 65
-9 77 93 94 62
-10 77 92 62 95
-11 101 40 65 98
-12 39 105 106 74
-13 38 159 160 75
-14 146 61 149 76
-15 66 155 41 152
-16 66 154 41 153
-17 147 148 61 76
-18 158 38 161 75
-19 55 1 60 127
-20 67 6 72 118
-21 66 132 61 117
-22 132 62 117 65
-23 69 70 6 118
-24 1 56 59 127
-25 3 50 128 53
-26 45 46 4 119
-27 39 116 40 131
-28 38 116 41 131
-29 44 47 4 119
-30 3 51 128 52
-31 88 2 129 87
-32 77 115 74 130
-33 80 5 83 120
-34 81 5 82 120
-35 115 75 130 76
-36 89 2 129 86
-37 1 145 91 6
-38 13 28 18 96
-39 12 27 7 150
-40 11 27 150 8
-41 15 16 28 96
-42 2 145 91 5
-43 146 93 129 130
-44 143 94 29 140
-45 135 26 136 149
-46 133 26 138 149
-47 144 94 29 139
-48 132 146 93 127
-49 92 147 115 120
-50 121 25 126 148
-51 114 95 30 109
-52 111 112 95 30
-53 122 25 125 148
-54 92 147 117 118
-55 114 105 19 109
-56 121 24 158 126
-57 115 106 161 120
-58 116 106 161 119
-59 24 123 124 158
-60 110 113 105 19
-61 14 103 17 21
-62 22 157 9 10
-63 3 4 162 108
-64 2 5 162 108
-65 11 22 157 8
-66 15 103 16 21
-67 104 20 141 142
-68 160 128 107 131
-69 23 134 137 159
-70 23 135 136 159
-71 160 107 129 130
-72 143 104 140 20
-73 1 156 102 6
-74 12 7 151 32
-75 13 35 18 97
-76 35 14 17 97
-77 151 9 10 32
-78 156 3 102 4
-79 100 155 128 131
-80 33 134 137 152
-81 99 34 141 142
-82 99 34 144 139
-83 33 133 138 152
-84 132 100 155 127
-85 154 101 116 119
-86 110 36 113 98
-87 123 124 31 153
-88 122 125 31 153
-89 111 112 36 98
-90 154 101 117 118
-91 123 134 37 42
-92 49 137 10 54
-93 124 48 9 43
-94 44 47 124 9
-95 137 51 52 10
-96 123 134 38 41
-97 121 135 75 76
-98 11 89 136 86
-99 81 82 126 8
-100 79 126 84 8
-101 11 90 136 85
-102 121 78 135 73
-103 66 122 133 61
-104 67 125 72 7
-105 55 12 60 138
-106 12 57 58 138
-107 68 125 71 7
-108 122 133 63 64
-109 55 155 51 152
-110 146 60 149 86
-111 89 159 160 52
-112 89 157 52 162
-113 145 60 150 86
-114 55 156 51 151
-115 35 57 49 32
-116 58 27 28 85
-117 22 90 21 54
-118 23 90 20 54
-119 58 26 29 85
-120 33 34 57 49
-121 56 102 50 97
-122 88 103 53 108
-123 91 59 96 87
-124 59 93 94 87
-125 88 104 107 53
-126 99 56 100 50
-127 24 48 84 19
-128 68 79 25 30
-129 36 71 31 43
-130 35 71 32 43
-131 68 79 27 28
-132 22 48 84 21
-133 46 103 83 108
-134 69 80 91 96
-135 45 102 70 97
-136 45 101 70 98
-137 69 80 92 95
-138 46 83 105 106
-139 47 157 82 162
-140 44 156 72 151
-141 67 145 81 150
-142 67 81 147 148
-143 44 154 72 153
-144 47 158 82 161
-145 113 37 42 141
-146 110 14 48 43
-147 49 17 54 142
-148 17 50 53 142
-149 110 45 46 14
-150 113 39 40 141
-151 77 114 74 140
-152 80 15 83 109
-153 88 143 16 87
-154 143 90 16 85
-155 79 15 84 109
-156 78 114 73 140
-157 112 62 139 65
-158 56 144 59 18
-159 111 13 69 70
-160 111 13 68 71
-161 144 57 58 18
-162 112 139 63 64
0

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