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On this page are computer-accessible forms for the graph C4[ 180, 4 ] = DW(60,3).

(I) Following is a form readable by MAGMA:

g:=Graph<180|{ {60, 61}, {120, 121}, {4, 63}, {64, 123}, {68, 127}, {2, 63}, {3, 62}, {64, 125}, {65, 124}, {66, 127}, {67, 126}, {1, 62}, {2, 61}, {65, 126}, {66, 125}, {3, 64}, {39, 100}, {35, 96}, {31, 92}, {27, 88}, {7, 68}, {11, 72}, {15, 76}, {19, 80}, {23, 84}, {43, 104}, {47, 108}, {51, 112}, {55, 116}, {59, 120}, {63, 124}, {4, 65}, {39, 98}, {38, 99}, {37, 96}, {36, 97}, {31, 90}, {30, 91}, {29, 88}, {28, 89}, {5, 64}, {6, 67}, {7, 66}, {12, 73}, {13, 72}, {14, 75}, {15, 74}, {20, 81}, {21, 80}, {22, 83}, {23, 82}, {44, 105}, {45, 104}, {46, 107}, {47, 106}, {52, 113}, {53, 112}, {54, 115}, {55, 114}, {60, 121}, {62, 123}, {63, 122}, {5, 66}, {38, 97}, {37, 98}, {30, 89}, {29, 90}, {6, 65}, {13, 74}, {14, 73}, {21, 82}, {22, 81}, {45, 106}, {46, 105}, {53, 114}, {54, 113}, {61, 122}, {62, 121}, {8, 67}, {40, 99}, {28, 87}, {12, 71}, {24, 83}, {44, 103}, {56, 115}, {60, 119}, {8, 69}, {40, 101}, {27, 86}, {26, 87}, {9, 68}, {10, 71}, {11, 70}, {24, 85}, {25, 84}, {41, 100}, {42, 103}, {43, 102}, {56, 117}, {57, 116}, {58, 119}, {59, 118}, {9, 70}, {26, 85}, {10, 69}, {25, 86}, {41, 102}, {42, 101}, {57, 118}, {58, 117}, {16, 75}, {20, 79}, {48, 107}, {52, 111}, {16, 77}, {17, 76}, {18, 79}, {19, 78}, {48, 109}, {49, 108}, {50, 111}, {51, 110}, {17, 78}, {18, 77}, {49, 110}, {50, 109}, {8, 127}, {1, 120}, {2, 123}, {3, 122}, {4, 125}, {5, 124}, {6, 127}, {7, 126}, {1, 122}, {36, 95}, {32, 91}, {2, 121}, {5, 126}, {6, 125}, {32, 93}, {35, 94}, {34, 95}, {33, 92}, {3, 124}, {34, 93}, {33, 94}, {4, 123}, {7, 128}, {39, 160}, {31, 152}, {15, 136}, {23, 144}, {47, 168}, {55, 176}, {8, 129}, {40, 161}, {31, 150}, {30, 151}, {29, 148}, {28, 149}, {27, 146}, {26, 147}, {9, 128}, {10, 131}, {11, 130}, {12, 133}, {13, 132}, {14, 135}, {15, 134}, {24, 145}, {25, 144}, {41, 160}, {42, 163}, {43, 162}, {44, 165}, {45, 164}, {46, 167}, {47, 166}, {56, 177}, {57, 176}, {58, 179}, {59, 178}, {61, 180}, {9, 130}, {30, 149}, {29, 150}, {26, 145}, {25, 146}, {10, 129}, {13, 134}, {14, 133}, {41, 162}, {42, 161}, {45, 166}, {46, 165}, {57, 178}, {58, 177}, {11, 132}, {28, 147}, {27, 148}, {12, 131}, {43, 164}, {44, 163}, {59, 180}, {60, 179}, {16, 135}, {24, 143}, {48, 167}, {56, 175}, {16, 137}, {17, 136}, {18, 139}, {19, 138}, {20, 141}, {21, 140}, {22, 143}, {23, 142}, {48, 169}, {49, 168}, {50, 171}, {51, 170}, {52, 173}, {53, 172}, {54, 175}, {55, 174}, {17, 138}, {18, 137}, {21, 142}, {22, 141}, {49, 170}, {50, 169}, {53, 174}, {54, 173}, {19, 140}, {20, 139}, {51, 172}, {52, 171}, {1, 180}, {32, 151}, {40, 159}, {32, 153}, {39, 158}, {38, 159}, {37, 156}, {36, 157}, {35, 154}, {34, 155}, {33, 152}, {33, 154}, {38, 157}, {37, 158}, {34, 153}, {35, 156}, {36, 155}, {67, 128}, {119, 180}, {115, 176}, {111, 172}, {107, 168}, {103, 164}, {99, 160}, {95, 156}, {91, 152}, {87, 148}, {83, 144}, {79, 140}, {75, 136}, {71, 132}, {68, 129}, {119, 178}, {118, 179}, {117, 176}, {116, 177}, {111, 170}, {110, 171}, {109, 168}, {108, 169}, {103, 162}, {102, 163}, {101, 160}, {100, 161}, {95, 154}, {94, 155}, {93, 152}, {92, 153}, {87, 146}, {86, 147}, {85, 144}, {84, 145}, {79, 138}, {78, 139}, {77, 136}, {76, 137}, {69, 128}, {70, 131}, {71, 130}, {69, 130}, {118, 177}, {117, 178}, {110, 169}, {109, 170}, {102, 161}, {101, 162}, {94, 153}, {93, 154}, {86, 145}, {85, 146}, {78, 137}, {77, 138}, {70, 129}, {72, 131}, {120, 179}, {108, 167}, {104, 163}, {92, 151}, {88, 147}, {76, 135}, {72, 133}, {107, 166}, {106, 167}, {105, 164}, {104, 165}, {91, 150}, {90, 151}, {89, 148}, {88, 149}, {75, 134}, {74, 135}, {73, 132}, {73, 134}, {106, 165}, {105, 166}, {90, 149}, {89, 150}, {74, 133}, {80, 139}, {116, 175}, {112, 171}, {84, 143}, {80, 141}, {115, 174}, {114, 175}, {113, 172}, {112, 173}, {83, 142}, {82, 143}, {81, 140}, {81, 142}, {114, 173}, {113, 174}, {82, 141}, {96, 155}, {100, 159}, {96, 157}, {99, 158}, {98, 159}, {97, 156}, {97, 158}, {98, 157} }>;

(II) A more general form is to represent the graph as the orbit of {60, 61} under the group generated by the following permutations:

a: (61, 121)(62, 122)(63, 123)(64, 124)(65, 125)(66, 126)(67, 127)(68, 128)(69, 129)(70, 130)(71, 131)(72, 132)(73, 133)(74, 134)(75, 135)(76, 136)(77, 137)(78, 138)(79, 139)(80, 140)(81, 141)(82, 142)(83, 143)(84, 144)(85, 145)(86, 146)(87, 147)(88, 148)(89, 149)(90, 150)(91, 151)(92, 152)(93, 153)(94, 154)(95, 155)(96, 156)(97, 157)(98, 158)(99, 159)(100, 160)(101, 161)(102, 162)(103, 163)(104, 164)(105, 165)(106, 166)(107, 167)(108, 168)(109, 169)(110, 170)(111, 171)(112, 172)(113, 173)(114, 174)(115, 175)(116, 176)(117, 177)(118, 178)(119, 179)(120, 180)
b: (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
c: (2, 60)(3, 59)(4, 58)(5, 57)(6, 56)(7, 55)(8, 54)(9, 53)(10, 52)(11, 51)(12, 50)(13, 49)(14, 48)(15, 47)(16, 46)(17, 45)(18, 44)(19, 43)(20, 42)(21, 41)(22, 40)(23, 39)(24, 38)(25, 37)(26, 36)(27, 35)(28, 34)(29, 33)(30, 32)(62, 120)(63, 119)(64, 118)(65, 117)(66, 116)(67, 115)(68, 114)(69, 113)(70, 112)(71, 111)(72, 110)(73, 109)(74, 108)(75, 107)(76, 106)(77, 105)(78, 104)(79, 103)(80, 102)(81, 101)(82, 100)(83, 99)(84, 98)(85, 97)(86, 96)(87, 95)(88, 94)(89, 93)(90, 92)(122, 180)(123, 179)(124, 178)(125, 177)(126, 176)(127, 175)(128, 174)(129, 173)(130, 172)(131, 171)(132, 170)(133, 169)(134, 168)(135, 167)(136, 166)(137, 165)(138, 164)(139, 163)(140, 162)(141, 161)(142, 160)(143, 159)(144, 158)(145, 157)(146, 156)(147, 155)(148, 154)(149, 153)(150, 152)
d: (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, 172, 173, 174, 175, 176, 177, 178, 179, 180)

(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[ 180, 4 ]
180
-1 122 180 62 120
-2 121 123 61 63
-3 122 124 62 64
-4 123 125 63 65
-5 66 124 126 64
-6 67 125 127 65
-7 66 68 126 128
-8 67 69 127 129
-9 68 70 128 130
-10 69 71 129 131
-11 132 70 72 130
-12 133 71 73 131
-13 132 134 72 74
-14 133 135 73 75
-15 134 136 74 76
-16 77 135 137 75
-17 78 136 138 76
-18 77 79 137 139
-19 78 80 138 140
-20 79 81 139 141
-21 80 82 140 142
-22 143 81 83 141
-23 144 82 84 142
-24 143 145 83 85
-25 144 146 84 86
-26 145 147 85 87
-27 88 146 148 86
-28 89 147 149 87
-29 88 90 148 150
-30 89 91 149 151
-31 90 92 150 152
-32 91 93 151 153
-33 154 92 94 152
-34 155 93 95 153
-35 154 156 94 96
-36 155 157 95 97
-37 156 158 96 98
-38 99 157 159 97
-39 100 158 160 98
-40 99 101 159 161
-41 100 102 160 162
-42 101 103 161 163
-43 102 104 162 164
-44 165 103 105 163
-45 166 104 106 164
-46 165 167 105 107
-47 166 168 106 108
-48 167 169 107 109
-49 110 168 170 108
-50 111 169 171 109
-51 110 112 170 172
-52 111 113 171 173
-53 112 114 172 174
-54 113 115 173 175
-55 176 114 116 174
-56 177 115 117 175
-57 176 178 116 118
-58 177 179 117 119
-59 178 180 118 120
-60 121 179 61 119
-61 122 2 180 60
-62 121 1 123 3
-63 122 2 124 4
-64 123 3 125 5
-65 124 4 126 6
-66 125 5 127 7
-67 126 6 128 8
-68 127 7 129 9
-69 128 8 130 10
-70 11 129 9 131
-71 132 12 130 10
-72 11 133 13 131
-73 132 12 134 14
-74 133 13 135 15
-75 134 14 136 16
-76 135 15 137 17
-77 136 16 138 18
-78 137 17 139 19
-79 138 18 140 20
-80 139 19 141 21
-81 22 140 20 142
-82 143 23 141 21
-83 22 144 24 142
-84 143 23 145 25
-85 144 24 146 26
-86 145 25 147 27
-87 146 26 148 28
-88 147 27 149 29
-89 148 28 150 30
-90 149 29 151 31
-91 150 30 152 32
-92 33 151 31 153
-93 154 34 152 32
-94 33 155 35 153
-95 154 34 156 36
-96 155 35 157 37
-97 156 36 158 38
-98 157 37 159 39
-99 158 38 160 40
-100 159 39 161 41
-101 160 40 162 42
-102 161 41 163 43
-103 44 162 42 164
-104 165 45 163 43
-105 44 166 46 164
-106 165 45 167 47
-107 166 46 168 48
-108 167 47 169 49
-109 168 48 170 50
-110 169 49 171 51
-111 170 50 172 52
-112 171 51 173 53
-113 172 52 174 54
-114 55 173 53 175
-115 176 56 174 54
-116 55 177 57 175
-117 176 56 178 58
-118 177 57 179 59
-119 178 58 180 60
-120 121 1 179 59
-121 2 60 62 120
-122 1 3 61 63
-123 2 4 62 64
-124 3 5 63 65
-125 66 4 6 64
-126 67 5 7 65
-127 66 68 6 8
-128 67 69 7 9
-129 68 70 8 10
-130 11 69 71 9
-131 12 70 72 10
-132 11 13 71 73
-133 12 14 72 74
-134 13 15 73 75
-135 14 16 74 76
-136 77 15 17 75
-137 78 16 18 76
-138 77 79 17 19
-139 78 80 18 20
-140 79 81 19 21
-141 22 80 82 20
-142 23 81 83 21
-143 22 24 82 84
-144 23 25 83 85
-145 24 26 84 86
-146 25 27 85 87
-147 88 26 28 86
-148 89 27 29 87
-149 88 90 28 30
-150 89 91 29 31
-151 90 92 30 32
-152 33 91 93 31
-153 34 92 94 32
-154 33 35 93 95
-155 34 36 94 96
-156 35 37 95 97
-157 36 38 96 98
-158 99 37 39 97
-159 100 38 40 98
-160 99 101 39 41
-161 100 102 40 42
-162 101 103 41 43
-163 44 102 104 42
-164 45 103 105 43
-165 44 46 104 106
-166 45 47 105 107
-167 46 48 106 108
-168 47 49 107 109
-169 110 48 50 108
-170 111 49 51 109
-171 110 112 50 52
-172 111 113 51 53
-173 112 114 52 54
-174 55 113 115 53
-175 56 114 116 54
-176 55 57 115 117
-177 56 58 116 118
-178 57 59 117 119
-179 58 60 118 120
-180 1 59 61 119
0

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