C4graphGraph forms for C4 [ 180, 38 ] = UG(Rmap(360,19){8,4|4}_10)

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On this page are computer-accessible forms for the graph C4[ 180, 38 ] = UG(Rmap(360,19){8,4|4}_10).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {90, 91} under the group generated by the following permutations:

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

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