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On this page are computer-accessible forms for the graph C4[ 168, 47 ] = UG(ATD[168,75]).

(I) Following is a form readable by MAGMA:

g:=Graph<168|{ {105, 108}, {122, 127}, {36, 46}, {102, 106}, {34, 44}, {147, 157}, {144, 158}, {98, 108}, {35, 51}, {71, 87}, {14, 31}, {140, 157}, {138, 155}, {41, 56}, {34, 54}, {33, 55}, {1, 22}, {7, 31}, {134, 159}, {96, 122}, {2, 25}, {71, 92}, {96, 124}, {35, 62}, {138, 151}, {137, 148}, {130, 159}, {2, 29}, {38, 57}, {36, 59}, {70, 89}, {3, 35}, {136, 168}, {25, 57}, {23, 55}, {78, 111}, {79, 109}, {14, 45}, {8, 44}, {11, 47}, {5, 32}, {76, 105}, {1, 39}, {30, 56}, {73, 111}, {70, 97}, {4, 44}, {72, 96}, {3, 42}, {136, 161}, {65, 104}, {94, 119}, {1, 43}, {11, 32}, {95, 116}, {70, 109}, {72, 100}, {137, 165}, {69, 104}, {64, 110}, {68, 106}, {73, 103}, {94, 112}, {17, 33}, {12, 61}, {95, 110}, {10, 56}, {19, 33}, {67, 112}, {88, 107}, {82, 103}, {69, 115}, {12, 59}, {92, 107}, {21, 45}, {81, 105}, {18, 43}, {68, 125}, {67, 121}, {10, 49}, {69, 120}, {83, 110}, {11, 53}, {85, 106}, {12, 76}, {34, 98}, {33, 97}, {20, 85}, {61, 124}, {42, 104}, {50, 113}, {9, 77}, {54, 114}, {37, 97}, {63, 123}, {13, 75}, {14, 72}, {16, 87}, {55, 112}, {22, 81}, {37, 109}, {58, 114}, {41, 96}, {45, 100}, {63, 118}, {4, 78}, {13, 65}, {24, 84}, {15, 67}, {39, 106}, {40, 101}, {2, 76}, {61, 115}, {7, 87}, {26, 74}, {23, 71}, {36, 117}, {38, 119}, {62, 111}, {59, 105}, {53, 102}, {1, 85}, {37, 113}, {32, 116}, {23, 67}, {24, 77}, {51, 102}, {48, 101}, {28, 73}, {62, 107}, {22, 64}, {41, 127}, {38, 126}, {15, 86}, {42, 115}, {20, 77}, {58, 99}, {5, 95}, {63, 101}, {5, 89}, {45, 113}, {39, 123}, {10, 86}, {14, 83}, {57, 100}, {4, 91}, {47, 112}, {17, 78}, {15, 80}, {6, 103}, {59, 90}, {60, 93}, {9, 107}, {6, 101}, {40, 75}, {60, 95}, {54, 82}, {8, 109}, {18, 119}, {4, 98}, {54, 80}, {27, 115}, {22, 127}, {30, 116}, {35, 73}, {32, 74}, {19, 120}, {43, 64}, {24, 117}, {38, 75}, {58, 87}, {46, 65}, {6, 118}, {40, 88}, {53, 68}, {8, 122}, {52, 70}, {10, 120}, {50, 65}, {2, 118}, {7, 114}, {42, 93}, {26, 98}, {52, 77}, {7, 125}, {13, 119}, {56, 66}, {24, 99}, {9, 117}, {60, 64}, {63, 66}, {29, 99}, {41, 86}, {53, 74}, {15, 142}, {30, 159}, {20, 149}, {17, 147}, {19, 151}, {28, 152}, {29, 155}, {6, 143}, {21, 156}, {27, 145}, {34, 168}, {20, 159}, {29, 150}, {3, 142}, {40, 166}, {39, 168}, {46, 161}, {16, 129}, {26, 137}, {27, 143}, {48, 164}, {17, 132}, {25, 140}, {18, 135}, {48, 166}, {9, 144}, {26, 131}, {21, 143}, {11, 144}, {18, 137}, {25, 133}, {16, 141}, {28, 129}, {31, 128}, {3, 162}, {52, 149}, {48, 146}, {5, 161}, {55, 147}, {37, 129}, {36, 128}, {52, 145}, {49, 150}, {8, 162}, {62, 148}, {12, 160}, {13, 161}, {57, 149}, {58, 150}, {61, 145}, {60, 147}, {16, 160}, {23, 167}, {47, 158}, {21, 167}, {49, 131}, {50, 129}, {46, 154}, {50, 134}, {19, 164}, {47, 152}, {31, 166}, {51, 138}, {49, 139}, {27, 167}, {28, 160}, {30, 163}, {51, 142}, {44, 146}, {43, 148}, {75, 139}, {76, 140}, {93, 157}, {91, 154}, {90, 153}, {79, 139}, {84, 146}, {94, 152}, {68, 140}, {88, 144}, {89, 145}, {92, 148}, {80, 153}, {71, 141}, {81, 156}, {66, 141}, {81, 158}, {86, 153}, {82, 130}, {89, 136}, {83, 128}, {84, 135}, {85, 134}, {88, 139}, {79, 150}, {124, 165}, {83, 138}, {94, 135}, {90, 128}, {125, 166}, {124, 160}, {82, 143}, {90, 132}, {91, 133}, {125, 157}, {66, 163}, {127, 158}, {100, 133}, {69, 164}, {121, 154}, {99, 135}, {126, 153}, {122, 146}, {111, 132}, {126, 149}, {72, 165}, {118, 155}, {113, 156}, {78, 163}, {79, 162}, {104, 134}, {74, 165}, {117, 154}, {108, 131}, {84, 164}, {114, 130}, {108, 156}, {102, 151}, {123, 136}, {110, 155}, {97, 151}, {123, 141}, {116, 130}, {121, 142}, {80, 168}, {91, 163}, {126, 132}, {92, 167}, {120, 131}, {121, 133}, {93, 162}, {103, 152} }>;

(II) A more general form is to represent the graph as the orbit of {105, 108} under the group generated by the following permutations:

a: (1, 2)(4, 167)(5, 166)(6, 168)(7, 116)(8, 115)(9, 117)(10, 129)(11, 128)(12, 127)(13, 75)(14, 74)(15, 73)(16, 56)(17, 55)(18, 57)(19, 97)(20, 99)(21, 98)(22, 76)(23, 78)(24, 77)(25, 43)(26, 45)(27, 44)(28, 86)(29, 85)(30, 87)(31, 32)(34, 143)(35, 142)(36, 144)(37, 120)(38, 119)(39, 118)(40, 161)(41, 160)(42, 162)(46, 88)(47, 90)(48, 89)(49, 50)(52, 84)(53, 83)(54, 82)(58, 159)(59, 158)(60, 157)(61, 122)(62, 121)(63, 123)(64, 140)(65, 139)(66, 141)(67, 111)(68, 110)(69, 109)(70, 164)(71, 163)(72, 165)(79, 104)(80, 103)(81, 105)(91, 92)(94, 126)(95, 125)(96, 124)(100, 137)(101, 136)(102, 138)(106, 155)(107, 154)(108, 156)(112, 132)(113, 131)(114, 130)(133, 148)(134, 150)(135, 149)(145, 146)(152, 153)
b: (2, 3)(4, 117)(5, 116)(6, 115)(7, 97)(8, 99)(9, 98)(10, 75)(11, 74)(12, 73)(13, 56)(14, 55)(15, 57)(16, 129)(17, 128)(18, 127)(19, 166)(20, 168)(21, 167)(22, 43)(23, 45)(24, 44)(25, 142)(26, 144)(27, 143)(28, 160)(29, 162)(30, 161)(31, 33)(34, 77)(35, 76)(36, 78)(37, 87)(38, 86)(39, 85)(40, 120)(41, 119)(42, 118)(46, 163)(47, 165)(48, 164)(49, 139)(50, 141)(51, 140)(52, 54)(58, 109)(59, 111)(60, 110)(61, 103)(62, 105)(63, 104)(65, 66)(67, 100)(68, 102)(69, 101)(70, 114)(71, 113)(72, 112)(79, 150)(80, 149)(81, 148)(82, 145)(83, 147)(84, 146)(88, 131)(89, 130)(90, 132)(91, 154)(92, 156)(93, 155)(94, 96)(107, 108)(121, 133)(122, 135)(123, 134)(124, 152)(125, 151)(126, 153)(136, 159)(137, 158)(138, 157)
c: (1, 4, 14)(2, 5, 15)(3, 6, 13)(7, 20, 17)(8, 21, 18)(9, 19, 16)(10, 12, 11)(22, 98, 72)(23, 99, 70)(24, 97, 71)(25, 95, 80)(26, 96, 81)(27, 94, 79)(28, 88, 69)(29, 89, 67)(30, 90, 68)(31, 85, 78)(32, 86, 76)(33, 87, 77)(34, 100, 64)(35, 101, 65)(36, 102, 66)(37, 92, 84)(38, 93, 82)(39, 91, 83)(40, 104, 73)(41, 105, 74)(42, 103, 75)(43, 44, 45)(46, 51, 63)(47, 49, 61)(48, 50, 62)(52, 55, 58)(53, 56, 59)(54, 57, 60)(106, 163, 128)(107, 164, 129)(108, 165, 127)(109, 167, 135)(110, 168, 133)(111, 166, 134)(112, 150, 145)(113, 148, 146)(114, 149, 147)(115, 152, 139)(116, 153, 140)(117, 151, 141)(118, 161, 142)(119, 162, 143)(120, 160, 144)(121, 155, 136)(122, 156, 137)(123, 154, 138)(124, 158, 131)(125, 159, 132)(126, 157, 130)
d: (4, 10)(5, 11)(6, 12)(7, 14)(8, 15)(9, 13)(16, 21)(17, 19)(18, 20)(22, 39)(23, 37)(24, 38)(25, 29)(26, 30)(27, 28)(34, 41)(35, 42)(36, 40)(43, 85)(44, 86)(45, 87)(46, 88)(47, 89)(48, 90)(49, 91)(50, 92)(51, 93)(52, 94)(53, 95)(54, 96)(55, 97)(56, 98)(57, 99)(58, 100)(59, 101)(60, 102)(61, 103)(62, 104)(63, 105)(64, 106)(65, 107)(66, 108)(67, 109)(68, 110)(69, 111)(70, 112)(71, 113)(72, 114)(73, 115)(74, 116)(75, 117)(76, 118)(77, 119)(78, 120)(79, 121)(80, 122)(81, 123)(82, 124)(83, 125)(84, 126)(127, 168)(128, 166)(129, 167)(130, 165)(131, 163)(132, 164)(133, 150)(134, 148)(135, 149)(136, 158)(137, 159)(138, 157)(139, 154)(140, 155)(141, 156)(142, 162)(143, 160)(144, 161)(145, 152)(146, 153)(147, 151)

(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[ 168, 47 ]
168
-1 22 39 85 43
-2 25 29 118 76
-3 35 162 42 142
-4 44 78 91 98
-5 89 95 161 32
-6 143 101 103 118
-7 114 125 31 87
-8 44 122 162 109
-9 77 144 117 107
-10 56 49 86 120
-11 144 47 53 32
-12 59 61 160 76
-13 161 75 119 65
-14 45 72 83 31
-15 67 80 86 142
-16 160 129 141 87
-17 33 132 78 147
-18 135 137 119 43
-19 33 151 120 164
-20 77 159 149 85
-21 143 45 156 167
-22 1 81 127 64
-23 55 67 167 71
-24 77 99 84 117
-25 133 2 57 140
-26 137 74 98 131
-27 143 145 167 115
-28 160 73 129 152
-29 99 155 2 150
-30 56 159 116 163
-31 166 14 7 128
-32 11 5 116 74
-33 55 17 19 97
-34 44 168 54 98
-35 3 51 62 73
-36 46 59 117 128
-37 113 129 97 109
-38 57 126 75 119
-39 1 123 168 106
-40 88 166 101 75
-41 56 127 96 86
-42 3 93 104 115
-43 1 148 18 64
-44 34 146 4 8
-45 100 14 113 21
-46 154 36 161 65
-47 11 112 158 152
-48 166 101 146 164
-49 139 150 10 131
-50 134 113 129 65
-51 35 102 138 142
-52 77 145 70 149
-53 11 68 102 74
-54 34 80 114 82
-55 33 23 112 147
-56 66 30 41 10
-57 100 25 38 149
-58 99 114 150 87
-59 12 90 36 105
-60 147 93 95 64
-61 12 145 124 115
-62 111 35 148 107
-63 66 101 123 118
-64 22 110 60 43
-65 13 46 104 50
-66 56 63 141 163
-67 121 23 112 15
-68 125 106 140 53
-69 104 115 120 164
-70 89 52 97 109
-71 23 92 141 87
-72 165 100 14 96
-73 111 35 103 28
-74 165 26 53 32
-75 13 38 40 139
-76 12 2 105 140
-77 24 52 9 20
-78 111 4 17 163
-79 139 150 162 109
-80 168 15 54 153
-81 22 156 158 105
-82 143 103 130 54
-83 110 14 138 128
-84 24 135 146 164
-85 1 134 106 20
-86 15 41 10 153
-87 58 16 71 7
-88 144 40 139 107
-89 145 70 136 5
-90 132 59 128 153
-91 154 133 4 163
-92 167 71 148 107
-93 157 60 162 42
-94 112 135 119 152
-95 110 5 60 116
-96 122 124 72 41
-97 33 37 70 151
-98 34 4 26 108
-99 24 58 135 29
-100 45 133 57 72
-101 48 6 40 63
-102 51 106 151 53
-103 82 6 73 152
-104 134 69 42 65
-105 59 81 108 76
-106 68 102 39 85
-107 88 92 62 9
-108 156 105 98 131
-109 79 37 70 8
-110 155 83 95 64
-111 132 78 62 73
-112 55 67 47 94
-113 45 156 37 50
-114 58 7 130 54
-115 69 27 61 42
-116 95 30 130 32
-117 154 24 36 9
-118 155 2 6 63
-119 13 38 94 18
-120 69 19 10 131
-121 154 67 133 142
-122 146 127 8 96
-123 136 39 63 141
-124 165 61 160 96
-125 166 68 157 7
-126 132 38 149 153
-127 22 122 158 41
-128 90 36 83 31
-129 37 16 28 50
-130 114 82 159 116
-131 26 49 108 120
-132 111 90 126 17
-133 121 100 25 91
-134 104 159 50 85
-135 99 94 18 84
-136 89 123 168 161
-137 165 26 148 18
-138 155 83 51 151
-139 88 79 49 75
-140 68 25 157 76
-141 66 123 16 71
-142 121 3 15 51
-143 27 82 6 21
-144 11 88 158 9
-145 89 27 61 52
-146 44 122 48 84
-147 55 157 60 17
-148 92 137 62 43
-149 57 126 52 20
-150 79 58 49 29
-151 102 138 19 97
-152 47 103 28 94
-153 90 80 126 86
-154 121 46 91 117
-155 110 138 29 118
-156 113 81 108 21
-157 125 147 93 140
-158 144 47 81 127
-159 134 30 20 130
-160 12 124 16 28
-161 13 46 136 5
-162 79 3 93 8
-163 66 78 91 30
-164 69 48 84 19
-165 124 137 72 74
-166 48 125 40 31
-167 23 92 27 21
-168 34 80 136 39
0

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