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On this page are computer-accessible forms for the graph C4[ 180, 25 ] = UG(ATD[180,42]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {160, 167} under the group generated by the following permutations:

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

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

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