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On this page are computer-accessible forms for the graph C4[ 180, 36 ] = UG(ATD[180,58]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {130, 131} under the group generated by the following permutations:

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

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