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On this page are computer-accessible forms for the graph C4[ 180, 31 ] = UG(ATD[180,50]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {48, 52} under the group generated by the following permutations:

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

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

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