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On this page are computer-accessible forms for the graph C4[ 171, 2 ] = DW(57,3).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {114, 115} under the group generated by the following permutations:

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

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

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