C4graphGraph forms for C4 [ 180, 39 ] = UG(Rmap(360,20){8,4|10}_10)

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On this page are computer-accessible forms for the graph C4[ 180, 39 ] = UG(Rmap(360,20){8,4|10}_10).

(I) Following is a form readable by MAGMA:

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

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

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&Graph
C4[ 180, 39 ]
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 37
-7 2 14 25 38
-8 1 23 15 39
-9 34 4 19 53
-10 35 5 20 54
-11 55 3 36 21
-12 22 33 56 2
-13 48 6 19 76
-14 77 49 28 7
-15 78 50 29 8
-16 79 4 51 30
-17 80 5 52 31
-18 3 47 81 32
-19 13 69 96 9
-20 70 104 28 10
-21 11 77 71 40
-22 12 72 105 41
-23 73 106 8 42
-24 6 74 107 43
-25 44 100 7 75
-26 45 67 4 63
-27 46 68 5 108
-28 14 124 20 97
-29 15 92 104 40
-30 57 16 54 98
-31 99 58 17 53
-32 100 59 18 129
-33 12 101 60 130
-34 102 61 9 131
-35 132 62 74 10
-36 11 103 72 63
-37 44 6 94 64
-38 89 7 95 65
-39 66 102 93 8
-40 110 83 29 21
-41 22 66 57 124
-42 23 58 76 120
-43 78 24 125 82
-44 25 37 126 83
-45 80 26 136 84
-46 79 135 59 27
-47 127 18 85 151
-48 13 112 86 108
-49 14 102 152 87
-50 88 15 51 150
-51 81 16 50 128
-52 89 101 103 17
-53 121 90 9 31
-54 122 91 30 10
-55 11 123 117 65
-56 12 92 74 120
-57 134 58 30 41
-58 57 82 31 42
-59 110 46 82 32
-60 33 93 83 96
-61 34 147 105 109
-62 110 35 148 106
-63 36 26 126 97
-64 111 155 37 106
-65 55 111 38 84
-66 154 39 41 107
-67 166 112 26 149
-68 167 27 150 85
-69 89 113 19 85
-70 112 81 114 20
-71 168 115 108 21
-72 22 165 36 116
-73 23 127 117 75
-74 56 24 35 128
-75 25 73 128 108
-76 13 118 42 141
-77 143 14 119 21
-78 144 91 15 43
-79 46 145 16 141
-80 88 45 146 17
-81 99 70 18 51
-82 58 59 43 153
-83 44 60 40 109
-84 45 134 65 109
-85 68 47 69 97
-86 133 48 129 163
-87 134 49 130 164
-88 80 124 148 50
-89 69 38 52 98
-90 135 172 53 130
-91 78 155 136 54
-92 56 138 29 131
-93 132 60 39 171
-94 177 37 149 131
-95 165 112 179 38
-96 60 137 117 19
-97 133 28 63 85
-98 89 139 30 174
-99 168 81 140 31
-100 25 116 162 32
-101 33 149 52 141
-102 34 103 49 39
-103 36 102 128 52
-104 116 29 20 142
-105 22 61 160 119
-106 23 62 161 64
-107 66 121 24 145
-108 48 27 71 75
-109 169 61 83 84
-110 59 170 40 62
-111 133 64 65 153
-112 67 48 70 95
-113 177 69 114 136
-114 178 113 135 70
-115 71 151 153 164
-116 100 104 72 164
-117 55 125 73 96
-118 154 172 151 76
-119 77 105 172 129
-120 56 157 42 152
-121 127 107 53 163
-122 165 180 152 54
-123 55 176 162 131
-124 88 156 28 41
-125 158 159 117 43
-126 44 159 63 174
-127 121 47 149 73
-128 103 51 74 75
-129 86 119 32 175
-130 33 176 90 87
-131 34 123 92 94
-132 143 35 93 162
-133 111 180 86 97
-134 57 84 87 175
-135 46 90 114 169
-136 45 91 113 170
-137 155 166 138 96
-138 154 178 92 137
-139 166 169 148 98
-140 99 167 147 170
-141 79 101 147 76
-142 167 104 171 172
-143 77 132 178 150
-144 78 168 169 162
-145 79 146 161 107
-146 145 80 160 152
-147 61 140 173 141
-148 88 158 62 139
-149 67 101 94 127
-150 143 165 68 50
-151 47 179 115 118
-152 122 146 49 120
-153 111 82 115 160
-154 66 180 138 118
-155 156 91 137 64
-156 155 124 157 179
-157 156 171 163 120
-158 177 125 180 148
-159 179 125 126 175
-160 146 105 174 153
-161 145 168 106 175
-162 132 100 144 123
-163 121 157 173 86
-164 115 116 173 87
-165 122 72 95 150
-166 67 167 137 139
-167 166 68 140 142
-168 99 144 71 161
-169 144 135 139 109
-170 110 176 136 140
-171 177 157 93 142
-172 90 118 119 142
-173 178 147 163 164
-174 176 126 160 98
-175 134 159 161 129
-176 123 170 130 174
-177 113 158 94 171
-178 143 114 138 173
-179 156 159 95 151
-180 154 122 133 158
0

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