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On this page are computer-accessible forms for the graph C4[ 180, 35 ] = UG(ATD[180,57]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {176, 177} under the group generated by the following permutations:

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

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

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