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On this page are computer-accessible forms for the graph C4[ 180, 21 ] = AMC(20,3,[0.1:1.2]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {36, 37} under the group generated by the following permutations:

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

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

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