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