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On this page are computer-accessible forms for the graph C4[ 171, 1 ] = C_171(1,37).

(I) Following is a form readable by MAGMA:

g:=Graph<171|{ {2, 3}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163}, {160, 161}, {158, 159}, {156, 157}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {146, 147}, {144, 145}, {142, 143}, {140, 141}, {138, 139}, {136, 137}, {134, 135}, {132, 133}, {130, 131}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {120, 121}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {64, 65}, {66, 67}, {68, 69}, {70, 71}, {72, 73}, {74, 75}, {76, 77}, {78, 79}, {80, 81}, {82, 83}, {84, 85}, {86, 87}, {88, 89}, {90, 91}, {92, 93}, {94, 95}, {96, 97}, {98, 99}, {100, 101}, {102, 103}, {104, 105}, {106, 107}, {108, 109}, {110, 111}, {112, 113}, {114, 115}, {116, 117}, {118, 119}, {1, 2}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153, 154}, {149, 150}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {3, 4}, {163, 164}, {155, 156}, {147, 148}, {139, 140}, {131, 132}, {123, 124}, {59, 60}, {51, 52}, {43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {7, 8}, {167, 168}, {151, 152}, {135, 136}, {119, 120}, {55, 56}, {39, 40}, {23, 24}, {71, 72}, {87, 88}, {103, 104}, {15, 16}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {2, 39}, {130, 167}, {128, 165}, {8, 45}, {10, 47}, {16, 53}, {18, 55}, {24, 61}, {26, 63}, {64, 101}, {66, 103}, {72, 109}, {74, 111}, {80, 117}, {82, 119}, {88, 125}, {90, 127}, {1, 38}, {129, 166}, {9, 46}, {17, 54}, {25, 62}, {65, 102}, {73, 110}, {81, 118}, {89, 126}, {3, 40}, {131, 168}, {7, 44}, {19, 56}, {23, 60}, {67, 104}, {71, 108}, {83, 120}, {87, 124}, {4, 41}, {134, 171}, {132, 169}, {6, 43}, {20, 57}, {22, 59}, {68, 105}, {70, 107}, {84, 121}, {86, 123}, {5, 42}, {133, 170}, {21, 58}, {69, 106}, {85, 122}, {11, 48}, {15, 52}, {75, 112}, {79, 116}, {12, 49}, {14, 51}, {76, 113}, {78, 115}, {13, 50}, {159, 160}, {31, 32}, {77, 114}, {95, 96}, {27, 64}, {59, 96}, {31, 68}, {63, 100}, {28, 65}, {62, 99}, {60, 97}, {30, 67}, {29, 66}, {61, 98}, {32, 69}, {58, 95}, {56, 93}, {50, 87}, {48, 85}, {42, 79}, {40, 77}, {34, 71}, {33, 70}, {57, 94}, {49, 86}, {41, 78}, {35, 72}, {55, 92}, {51, 88}, {39, 76}, {36, 73}, {54, 91}, {52, 89}, {38, 75}, {37, 74}, {53, 90}, {43, 80}, {47, 84}, {44, 81}, {46, 83}, {45, 82}, {63, 64}, {1, 135}, {8, 142}, {9, 143}, {16, 150}, {17, 151}, {24, 158}, {25, 159}, {32, 166}, {33, 167}, {2, 136}, {35, 169}, {34, 168}, {3, 137}, {6, 140}, {7, 141}, {18, 152}, {19, 153}, {22, 156}, {23, 157}, {4, 138}, {37, 171}, {36, 170}, {5, 139}, {20, 154}, {21, 155}, {10, 144}, {11, 145}, {14, 148}, {15, 149}, {12, 146}, {13, 147}, {1, 171}, {26, 160}, {27, 161}, {30, 164}, {31, 165}, {28, 162}, {29, 163}, {91, 128}, {127, 164}, {123, 160}, {95, 132}, {92, 129}, {126, 163}, {124, 161}, {94, 131}, {93, 130}, {125, 162}, {96, 133}, {122, 159}, {120, 157}, {98, 135}, {104, 141}, {106, 143}, {112, 149}, {114, 151}, {97, 134}, {121, 158}, {105, 142}, {113, 150}, {99, 136}, {119, 156}, {103, 140}, {115, 152}, {100, 137}, {118, 155}, {102, 139}, {116, 153}, {101, 138}, {117, 154}, {107, 144}, {111, 148}, {108, 145}, {110, 147}, {109, 146}, {127, 128} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171)
b: (2, 38)(3, 75)(4, 112)(5, 149)(6, 15)(7, 52)(8, 89)(9, 126)(10, 163)(11, 29)(12, 66)(13, 103)(14, 140)(16, 43)(17, 80)(18, 117)(19, 154)(21, 57)(22, 94)(23, 131)(24, 168)(25, 34)(26, 71)(27, 108)(28, 145)(30, 48)(31, 85)(32, 122)(33, 159)(35, 62)(36, 99)(37, 136)(40, 76)(41, 113)(42, 150)(44, 53)(45, 90)(46, 127)(47, 164)(49, 67)(50, 104)(51, 141)(54, 81)(55, 118)(56, 155)(59, 95)(60, 132)(61, 169)(63, 72)(64, 109)(65, 146)(68, 86)(69, 123)(70, 160)(73, 100)(74, 137)(78, 114)(79, 151)(82, 91)(83, 128)(84, 165)(87, 105)(88, 142)(92, 119)(93, 156)(97, 133)(98, 170)(101, 110)(102, 147)(106, 124)(107, 161)(111, 138)(116, 152)(120, 129)(121, 166)(125, 143)(130, 157)(135, 171)(139, 148)(144, 162)(158, 167)
c: (2, 135)(3, 98)(4, 61)(5, 24)(6, 158)(7, 121)(8, 84)(9, 47)(11, 144)(12, 107)(13, 70)(14, 33)(15, 167)(16, 130)(17, 93)(18, 56)(20, 153)(21, 116)(22, 79)(23, 42)(25, 139)(26, 102)(27, 65)(29, 162)(30, 125)(31, 88)(32, 51)(34, 148)(35, 111)(36, 74)(38, 171)(39, 134)(40, 97)(41, 60)(43, 157)(44, 120)(45, 83)(48, 143)(49, 106)(50, 69)(52, 166)(53, 129)(54, 92)(57, 152)(58, 115)(59, 78)(62, 138)(63, 101)(66, 161)(67, 124)(68, 87)(71, 147)(72, 110)(75, 170)(76, 133)(77, 96)(80, 156)(81, 119)(85, 142)(86, 105)(89, 165)(90, 128)(94, 151)(95, 114)(99, 137)(103, 160)(104, 123)(108, 146)(112, 169)(113, 132)(117, 155)(122, 141)(126, 164)(131, 150)(140, 159)(149, 168)

(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[ 171, 1 ]
171
-1 2 135 38 171
-2 1 3 136 39
-3 2 4 137 40
-4 3 5 138 41
-5 4 6 139 42
-6 5 7 140 43
-7 44 6 8 141
-8 45 7 9 142
-9 143 46 8 10
-10 11 144 47 9
-11 12 145 48 10
-12 11 13 146 49
-13 12 14 147 50
-14 13 15 148 51
-15 14 16 149 52
-16 15 17 150 53
-17 16 18 151 54
-18 55 17 19 152
-19 56 18 20 153
-20 154 57 19 21
-21 22 155 58 20
-22 23 156 59 21
-23 22 24 157 60
-24 23 25 158 61
-25 24 26 159 62
-26 25 27 160 63
-27 26 28 161 64
-28 27 29 162 65
-29 66 28 30 163
-30 67 29 31 164
-31 165 68 30 32
-32 33 166 69 31
-33 34 167 70 32
-34 33 35 168 71
-35 34 36 169 72
-36 35 37 170 73
-37 36 38 171 74
-38 1 37 39 75
-39 2 38 40 76
-40 77 3 39 41
-41 78 4 40 42
-42 79 5 41 43
-43 44 80 6 42
-44 45 81 7 43
-45 44 46 82 8
-46 45 47 83 9
-47 46 48 84 10
-48 11 47 49 85
-49 12 48 50 86
-50 13 49 51 87
-51 88 14 50 52
-52 89 15 51 53
-53 90 16 52 54
-54 55 91 17 53
-55 56 92 18 54
-56 55 57 93 19
-57 56 58 94 20
-58 57 59 95 21
-59 22 58 60 96
-60 23 59 61 97
-61 24 60 62 98
-62 99 25 61 63
-63 100 26 62 64
-64 101 27 63 65
-65 66 102 28 64
-66 67 103 29 65
-67 66 68 104 30
-68 67 69 105 31
-69 68 70 106 32
-70 33 69 71 107
-71 34 70 72 108
-72 35 71 73 109
-73 110 36 72 74
-74 111 37 73 75
-75 112 38 74 76
-76 77 113 39 75
-77 78 114 40 76
-78 77 79 115 41
-79 78 80 116 42
-80 79 81 117 43
-81 44 80 82 118
-82 45 81 83 119
-83 46 82 84 120
-84 121 47 83 85
-85 122 48 84 86
-86 123 49 85 87
-87 88 124 50 86
-88 89 125 51 87
-89 88 90 126 52
-90 89 91 127 53
-91 90 92 128 54
-92 55 91 93 129
-93 56 92 94 130
-94 57 93 95 131
-95 132 58 94 96
-96 133 59 95 97
-97 134 60 96 98
-98 99 135 61 97
-99 100 136 62 98
-100 99 101 137 63
-101 100 102 138 64
-102 101 103 139 65
-103 66 102 104 140
-104 67 103 105 141
-105 68 104 106 142
-106 143 69 105 107
-107 144 70 106 108
-108 145 71 107 109
-109 110 146 72 108
-110 111 147 73 109
-111 110 112 148 74
-112 111 113 149 75
-113 112 114 150 76
-114 77 113 115 151
-115 78 114 116 152
-116 79 115 117 153
-117 154 80 116 118
-118 155 81 117 119
-119 156 82 118 120
-120 121 157 83 119
-121 122 158 84 120
-122 121 123 159 85
-123 122 124 160 86
-124 123 125 161 87
-125 88 124 126 162
-126 89 125 127 163
-127 90 126 128 164
-128 165 91 127 129
-129 166 92 128 130
-130 167 93 129 131
-131 132 168 94 130
-132 133 169 95 131
-133 132 134 170 96
-134 133 135 171 97
-135 1 134 136 98
-136 99 2 135 137
-137 100 3 136 138
-138 101 4 137 139
-139 102 5 138 140
-140 103 6 139 141
-141 104 7 140 142
-142 143 105 8 141
-143 144 106 9 142
-144 143 145 107 10
-145 11 144 146 108
-146 12 145 147 109
-147 110 13 146 148
-148 111 14 147 149
-149 112 15 148 150
-150 113 16 149 151
-151 114 17 150 152
-152 115 18 151 153
-153 154 116 19 152
-154 155 117 20 153
-155 154 156 118 21
-156 22 155 157 119
-157 23 156 158 120
-158 121 24 157 159
-159 122 25 158 160
-160 123 26 159 161
-161 124 27 160 162
-162 125 28 161 163
-163 126 29 162 164
-164 165 127 30 163
-165 166 128 31 164
-166 165 167 129 32
-167 33 166 168 130
-168 34 167 169 131
-169 132 35 168 170
-170 133 36 169 171
-171 1 134 37 170
0

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