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On this page are computer-accessible forms for the graph C4[ 162, 13 ] = UG(ATD[162,9]).

(I) Following is a form readable by MAGMA:

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

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

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

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