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On this page are computer-accessible forms for the graph C4[ 180, 3 ] = C_180(1,71).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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

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