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On this page are computer-accessible forms for the graph C4[ 180, 24 ] = UG(ATD[180,17]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {172, 175} under the group generated by the following permutations:

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

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