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On this page are computer-accessible forms for the graph C4[ 180, 43 ] =
UG(Rmap(360,359){10,4|8}_10).
(I) Following is a form readable by MAGMA:
g:=Graph<180|{ {50, 51}, {166, 167}, {148, 149}, {1, 3}, {172, 174}, {88, 90},
{1, 2}, {165, 166}, {121, 122}, {1, 5}, {59, 63}, {2, 7}, {115, 118}, {3, 6},
{2, 4}, {152, 158}, {139, 141}, {137, 143}, {115, 117}, {66, 68}, {67, 69}, {8,
15}, {35, 36}, {99, 100}, {3, 11}, {117, 125}, {48, 56}, {1, 8}, {162, 171},
{33, 40}, {7, 14}, {21, 31}, {151, 157}, {64, 74}, {6, 13}, {162, 169}, {82,
89}, {131, 143}, {4, 9}, {132, 137}, {23, 26}, {22, 27}, {103, 106}, {2, 12},
{163, 173}, {113, 127}, {112, 126}, {5, 10}, {32, 47}, {16, 31}, {97, 113}, {98,
114}, {3, 18}, {141, 156}, {15, 30}, {13, 28}, {45, 63}, {140, 158}, {14, 29},
{139, 152}, {134, 149}, {42, 57}, {4, 16}, {137, 157}, {5, 17}, {133, 144},
{107, 125}, {67, 91}, {138, 146}, {108, 116}, {40, 49}, {134, 159}, {9, 19},
{129, 155}, {37, 63}, {12, 22}, {101, 127}, {79, 84}, {171, 176}, {169, 178},
{128, 155}, {100, 127}, {32, 60}, {110, 114}, {34, 62}, {33, 61}, {74, 87}, {4,
26}, {130, 156}, {11, 21}, {10, 20}, {7, 25}, {6, 24}, {5, 27}, {66, 92}, {8,
23}, {142, 145}, {111, 112}, {70, 89}, {97, 126}, {6, 38}, {145, 177}, {14, 46},
{8, 40}, {7, 39}, {88, 120}, {147, 178}, {84, 118}, {130, 161}, {147, 176}, {16,
52}, {31, 59}, {30, 58}, {29, 57}, {17, 53}, {72, 110}, {151, 177}, {73, 111},
{136, 175}, {148, 179}, {142, 169}, {15, 39}, {77, 100}, {135, 174}, {131, 170},
{9, 35}, {27, 49}, {26, 48}, {64, 106}, {65, 107}, {67, 105}, {71, 109}, {136,
163}, {159, 180}, {129, 173}, {129, 172}, {158, 179}, {10, 36}, {157, 179}, {12,
34}, {11, 37}, {25, 54}, {76, 99}, {18, 34}, {17, 32}, {78, 127}, {18, 33}, {12,
56}, {85, 97}, {86, 98}, {28, 41}, {24, 46}, {130, 180}, {25, 47}, {17, 38},
{135, 176}, {131, 180}, {69, 125}, {159, 167}, {73, 113}, {150, 175}, {19, 41},
{23, 45}, {22, 44}, {71, 124}, {11, 55}, {15, 51}, {10, 55}, {70, 123}, {20,
42}, {150, 168}, {21, 43}, {9, 54}, {149, 170}, {13, 50}, {44, 109}, {36, 103},
{28, 88}, {50, 118}, {29, 89}, {13, 72}, {50, 119}, {48, 117}, {14, 73}, {32,
103}, {30, 84}, {20, 95}, {51, 120}, {35, 104}, {19, 94}, {52, 121}, {53, 122},
{19, 66}, {60, 109}, {22, 68}, {23, 69}, {38, 114}, {40, 126}, {63, 105}, {20,
67}, {39, 112}, {18, 74}, {59, 99}, {60, 100}, {61, 101}, {62, 102}, {16, 73},
{46, 119}, {41, 115}, {49, 108}, {24, 70}, {42, 116}, {25, 71}, {43, 75}, {55,
87}, {49, 81}, {48, 80}, {47, 79}, {46, 78}, {45, 77}, {44, 76}, {29, 124}, {55,
86}, {53, 84}, {47, 78}, {30, 125}, {54, 85}, {38, 64}, {39, 65}, {28, 123},
{52, 83}, {52, 94}, {53, 95}, {37, 72}, {62, 83}, {34, 82}, {58, 75}, {21, 96},
{31, 104}, {24, 96}, {43, 83}, {37, 93}, {36, 92}, {35, 91}, {27, 98}, {56, 65},
{26, 97}, {33, 90}, {60, 173}, {58, 172}, {59, 161}, {61, 160}, {57, 167}, {62,
160}, {56, 154}, {41, 142}, {45, 132}, {58, 144}, {43, 152}, {44, 153}, {57,
143}, {51, 132}, {61, 138}, {54, 141}, {42, 151}, {106, 170}, {81, 144}, {105,
168}, {102, 164}, {90, 153}, {107, 168}, {93, 152}, {77, 138}, {119, 176}, {65,
137}, {78, 134}, {81, 153}, {88, 146}, {104, 162}, {101, 175}, {75, 128}, {82,
153}, {92, 151}, {93, 150}, {87, 155}, {108, 160}, {111, 162}, {95, 145}, {79,
128}, {110, 161}, {66, 146}, {119, 167}, {74, 154}, {64, 145}, {69, 148}, {71,
150}, {80, 129}, {82, 131}, {86, 135}, {102, 180}, {118, 164}, {113, 163}, {70,
149}, {120, 171}, {81, 130}, {85, 134}, {80, 132}, {120, 172}, {91, 142}, {123,
174}, {94, 139}, {83, 133}, {68, 147}, {122, 173}, {75, 156}, {93, 138}, {95,
136}, {101, 178}, {121, 161}, {124, 165}, {117, 174}, {89, 133}, {121, 164},
{111, 177}, {123, 165}, {87, 136}, {124, 163}, {79, 175}, {116, 148}, {115,
147}, {68, 160}, {126, 154}, {76, 168}, {110, 139}, {102, 128}, {105, 143}, {96,
135}, {122, 144}, {96, 140}, {72, 166}, {94, 177}, {99, 140}, {85, 165}, {86,
166}, {91, 170}, {116, 133}, {90, 169}, {108, 159}, {80, 164}, {104, 156}, {107,
158}, {92, 171}, {106, 157}, {98, 154}, {103, 155}, {112, 141}, {76, 178}, {114,
140}, {77, 179}, {109, 146} }>;
(II) A more general form is to represent the graph as the orbit of {50, 51}
under the group generated by the following permutations:
a: (2, 8)(4, 23)(7, 15)(9, 69)(12, 40)(13, 24)(14, 51)(16, 45)(19, 148)(20,
36)(21, 37)(22, 49)(25, 30)(28, 70)(29, 120)(31, 63)(32, 53)(33, 34)(35, 67)(41,
149)(42, 92)(43, 93)(44, 81)(46, 50)(47, 84)(48, 97)(52, 77)(54, 125)(56,
126)(57, 171)(58, 71)(60, 122)(61, 62)(65, 112)(66, 116)(68, 108)(72, 96)(73,
132)(75, 150)(76, 130)(78, 118)(80, 113)(82, 90)(83, 138)(85, 117)(88, 89)(94,
179)(95, 103)(99, 161)(100, 121)(101, 102)(104, 105)(106, 145)(107, 141)(109,
144)(110, 140)(111, 137)(115, 134)(124, 172)(127, 164)(128, 175)(129, 163)(131,
169)(133, 146)(135, 166)(136, 155)(139, 158)(142, 170)(143, 162)(147, 159)(156,
168)(157, 177)(165, 174)(167, 176)(178, 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.
**************
&Graph **************
b: (3, 5)(4, 7)(6, 10)(9, 14)(11, 17)(13, 20)(15, 23)(16, 25)(18, 27)(19,
29)(21, 32)(22, 34)(24, 36)(26, 39)(28, 42)(30, 45)(31, 47)(33, 49)(35, 46)(37,
53)(38, 55)(41, 57)(43, 60)(44, 62)(48, 65)(50, 67)(51, 69)(52, 71)(54, 73)(58,
77)(59, 79)(61, 81)(63, 84)(64, 86)(66, 89)(68, 82)(70, 92)(72, 95)(74, 98)(75,
100)(76, 102)(78, 104)(80, 107)(83, 109)(85, 111)(87, 114)(88, 116)(90, 108)(91,
119)(93, 122)(94, 124)(96, 103)(97, 112)(99, 128)(101, 130)(105, 118)(106,
135)(110, 136)(113, 141)(115, 143)(117, 137)(120, 148)(121, 150)(123, 151)(125,
132)(127, 156)(129, 158)(131, 147)(133, 146)(134, 162)(138, 144)(139, 163)(140,
155)(142, 167)(145, 166)(149, 171)(152, 173)(153, 160)(157, 174)(159, 169)(161,
175)(164, 168)(165, 177)(170, 176)(172, 179)(178, 180)
c: (2, 8)(3, 5)(4, 23)(6, 17)(7, 15)(9, 45)(10, 11)(12, 40)(13, 32)(14, 30)(16,
69)(18, 27)(19, 77)(20, 21)(22, 33)(24, 53)(25, 51)(28, 60)(29, 58)(31, 67)(34,
49)(35, 63)(36, 37)(41, 100)(42, 43)(44, 90)(46, 84)(47, 50)(48, 97)(52,
148)(54, 132)(56, 126)(57, 75)(59, 91)(61, 68)(62, 108)(64, 114)(65, 112)(66,
138)(70, 122)(71, 120)(72, 103)(73, 125)(74, 98)(76, 169)(78, 118)(79, 119)(80,
85)(81, 82)(83, 116)(86, 87)(88, 109)(89, 144)(92, 93)(94, 179)(95, 96)(99,
142)(101, 147)(102, 159)(104, 105)(106, 110)(107, 111)(113, 117)(115, 127)(121,
149)(123, 173)(124, 172)(128, 167)(129, 165)(130, 131)(134, 164)(135, 136)(137,
141)(139, 157)(140, 145)(143, 156)(150, 171)(151, 152)(155, 166)(158, 177)(161,
170)(162, 168)(163, 174)(175, 176)
d: (2, 3)(4, 6)(5, 8)(7, 11)(9, 13)(10, 15)(12, 18)(14, 21)(16, 24)(17, 23)(19,
28)(20, 30)(22, 33)(25, 37)(26, 38)(27, 40)(29, 43)(31, 46)(32, 45)(35, 50)(36,
51)(39, 55)(42, 58)(44, 61)(47, 63)(48, 64)(52, 70)(53, 69)(54, 72)(56, 74)(57,
75)(59, 78)(60, 77)(62, 82)(65, 87)(66, 88)(67, 84)(68, 90)(71, 93)(73, 96)(76,
101)(79, 105)(80, 106)(81, 108)(83, 89)(85, 110)(86, 112)(91, 118)(92, 120)(94,
123)(95, 125)(97, 114)(98, 126)(99, 127)(102, 131)(103, 132)(104, 119)(107,
136)(109, 138)(111, 135)(113, 140)(115, 142)(116, 144)(117, 145)(121, 149)(122,
148)(124, 152)(128, 143)(129, 157)(130, 159)(134, 161)(137, 155)(139, 165)(141,
166)(147, 169)(151, 172)(153, 160)(156, 167)(158, 163)(162, 176)(164, 170)(168,
175)(173, 179)(174, 177)
e: (1, 2)(3, 4)(5, 7)(6, 9)(8, 12)(10, 14)(11, 16)(13, 19)(15, 22)(17, 25)(18,
26)(20, 29)(21, 31)(23, 34)(24, 35)(27, 39)(28, 41)(30, 44)(32, 47)(33, 48)(36,
46)(37, 52)(38, 54)(40, 56)(42, 57)(43, 59)(45, 62)(49, 65)(50, 66)(51, 68)(53,
71)(55, 73)(58, 76)(60, 79)(61, 80)(63, 83)(64, 85)(67, 89)(69, 82)(70, 91)(72,
94)(74, 97)(75, 99)(77, 102)(78, 103)(81, 107)(84, 109)(86, 111)(87, 113)(88,
115)(90, 117)(92, 119)(93, 121)(95, 124)(96, 104)(98, 112)(100, 128)(101,
129)(105, 133)(106, 134)(108, 137)(110, 139)(114, 141)(116, 143)(118, 146)(120,
147)(122, 150)(123, 142)(125, 153)(126, 154)(127, 155)(130, 158)(131, 148)(132,
160)(135, 162)(136, 163)(138, 164)(140, 156)(144, 168)(145, 165)(149, 170)(151,
167)(152, 161)(157, 159)(166, 177)(169, 174)(171, 176)(172, 178)(173, 175)(179,
180)
C4[ 180, 43 ]
180
-1 2 3 5 8
-2 1 12 4 7
-3 11 1 6 18
-4 2 26 16 9
-5 1 27 17 10
-6 13 24 3 38
-7 2 14 25 39
-8 1 23 15 40
-9 35 4 19 54
-10 55 36 5 20
-11 55 3 37 21
-12 22 34 56 2
-13 72 6 28 50
-14 46 7 29 73
-15 39 51 8 30
-16 4 73 52 31
-17 5 38 53 32
-18 33 34 3 74
-19 66 94 41 9
-20 67 95 42 10
-21 11 96 31 43
-22 44 12 68 27
-23 45 69 26 8
-24 46 70 6 96
-25 47 71 7 54
-26 23 4 48 97
-27 22 5 49 98
-28 88 13 123 41
-29 89 57 14 124
-30 58 15 125 84
-31 59 16 104 21
-32 47 103 60 17
-33 90 61 18 40
-34 12 82 18 62
-35 36 91 104 9
-36 35 92 103 10
-37 11 93 72 63
-38 114 6 17 64
-39 112 15 7 65
-40 33 49 126 8
-41 115 28 19 142
-42 57 116 151 20
-43 83 75 152 21
-44 22 76 109 153
-45 77 132 23 63
-46 78 24 14 119
-47 78 79 25 32
-48 56 80 26 117
-49 81 27 40 108
-50 13 51 118 119
-51 132 15 50 120
-52 121 16 83 94
-53 122 17 84 95
-54 25 85 9 141
-55 11 86 10 87
-56 154 12 48 65
-57 143 167 29 42
-58 144 172 30 75
-59 99 161 63 31
-60 100 173 32 109
-61 33 101 138 160
-62 34 102 83 160
-63 45 37 59 105
-64 145 38 106 74
-65 56 137 39 107
-66 68 146 92 19
-67 69 91 105 20
-68 22 66 147 160
-69 23 67 125 148
-70 89 24 123 149
-71 25 124 150 109
-72 110 166 13 37
-73 111 14 113 16
-74 154 18 64 87
-75 156 58 128 43
-76 44 99 178 168
-77 45 100 179 138
-78 46 134 47 127
-79 47 84 128 175
-80 132 48 129 164
-81 144 49 130 153
-82 34 89 131 153
-83 133 62 52 43
-84 79 30 118 53
-85 165 134 97 54
-86 55 166 135 98
-87 55 155 136 74
-88 90 146 28 120
-89 133 70 82 29
-90 33 88 169 153
-91 67 35 170 142
-92 66 36 171 151
-93 37 138 150 152
-94 177 139 19 52
-95 145 136 20 53
-96 24 135 140 21
-97 113 26 126 85
-98 154 114 27 86
-99 100 59 140 76
-100 77 99 60 127
-101 178 61 127 175
-102 180 62 128 164
-103 155 36 106 32
-104 35 156 162 31
-105 143 67 168 63
-106 157 103 170 64
-107 168 125 158 65
-108 49 159 116 160
-109 44 146 60 71
-110 114 72 139 161
-111 177 112 73 162
-112 111 126 39 141
-113 127 73 97 163
-114 110 38 140 98
-115 147 117 41 118
-116 133 148 42 108
-117 48 125 115 174
-118 115 50 84 164
-119 176 46 167 50
-120 88 171 51 172
-121 122 161 52 164
-122 121 144 173 53
-123 165 70 28 174
-124 165 71 29 163
-125 69 117 30 107
-126 154 112 40 97
-127 78 100 101 113
-128 155 79 102 75
-129 155 80 172 173
-130 156 81 180 161
-131 143 180 82 170
-132 45 80 137 51
-133 89 144 83 116
-134 78 159 149 85
-135 176 96 86 174
-136 95 163 87 175
-137 132 143 157 65
-138 77 146 93 61
-139 110 94 141 152
-140 99 114 158 96
-141 112 156 139 54
-142 145 91 169 41
-143 57 137 105 131
-144 122 133 58 81
-145 177 95 64 142
-146 66 88 138 109
-147 176 68 178 115
-148 69 179 116 149
-149 134 70 148 170
-150 168 71 93 175
-151 177 157 92 42
-152 158 93 139 43
-153 44 90 81 82
-154 56 126 74 98
-155 103 128 129 87
-156 104 75 130 141
-157 179 137 106 151
-158 179 107 140 152
-159 134 167 180 108
-160 68 61 62 108
-161 110 121 59 130
-162 111 169 104 171
-163 113 124 136 173
-164 121 80 102 118
-165 166 123 124 85
-166 165 167 72 86
-167 166 57 159 119
-168 105 150 107 76
-169 90 178 162 142
-170 91 149 106 131
-171 176 92 162 120
-172 58 129 174 120
-173 122 60 129 163
-174 123 135 117 172
-175 79 101 136 150
-176 135 147 171 119
-177 111 145 94 151
-178 101 147 169 76
-179 77 157 158 148
-180 102 159 130 131
0