C4graphGraph forms for C4 [ 180, 26 ] = UG(ATD[180,43])

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On this page are computer-accessible forms for the graph C4[ 180, 26 ] = UG(ATD[180,43]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {34, 43} under the group generated by the following permutations:

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

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

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