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On this page are computer-accessible forms for the graph C4[ 180, 30 ] = UG(ATD[180,48]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {48, 49} under the group generated by the following permutations:

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

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

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