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On this page are computer-accessible forms for the graph C4[ 180, 27 ] = UG(ATD[180,44]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {58, 62} under the group generated by the following permutations:

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

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

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