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On this page are computer-accessible forms for the graph C4[ 168, 44 ] = UG(ATD[168,70]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {42, 46} under the group generated by the following permutations:

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

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

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