Graph forms
for C4 [ 180, 48 ] = BGCG(TAG(F10),C_3,1)
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On this page are computer-accessible forms for the graph C4[ 180, 48 ] =
BGCG(TAG(F10),C_3,1).
(I) Following is a form readable by MAGMA:
g:=Graph<180|{ {120, 124}, {59, 62}, {56, 62}, {117, 124}, {84, 94}, {149, 159},
{144, 154}, {84, 95}, {144, 155}, {119, 122}, {116, 122}, {48, 63}, {45, 61},
{105, 121}, {46, 63}, {106, 123}, {78, 92}, {140, 158}, {138, 152}, {78, 93},
{140, 159}, {138, 153}, {137, 157}, {72, 93}, {137, 156}, {72, 94}, {42, 61},
{108, 123}, {105, 126}, {100, 125}, {103, 126}, {5, 31}, {65, 91}, {97, 125},
{65, 92}, {132, 153}, {128, 157}, {1, 31}, {132, 154}, {128, 158}, {102, 121},
{1, 35}, {145, 179}, {93, 127}, {25, 59}, {85, 119}, {25, 58}, {145, 178}, {85,
118}, {82, 118}, {83, 119}, {91, 127}, {5, 32}, {136, 173}, {135, 162}, {16,
53}, {15, 42}, {68, 97}, {74, 111}, {2, 36}, {136, 174}, {135, 161}, {133, 163},
{129, 167}, {16, 54}, {15, 41}, {13, 43}, {9, 47}, {68, 98}, {87, 113}, {13,
42}, {133, 162}, {79, 104}, {82, 117}, {87, 112}, {26, 50}, {139, 163}, {79,
103}, {69, 108}, {129, 168}, {2, 40}, {141, 167}, {134, 172}, {131, 169}, {28,
54}, {4, 46}, {3, 41}, {64, 106}, {71, 109}, {88, 114}, {23, 60}, {141, 166},
{131, 168}, {28, 55}, {26, 49}, {71, 108}, {83, 120}, {88, 115}, {22, 58}, {23,
59}, {77, 97}, {8, 37}, {134, 171}, {12, 33}, {66, 111}, {75, 102}, {77, 96},
{3, 45}, {27, 53}, {12, 34}, {8, 38}, {64, 110}, {69, 107}, {73, 103}, {75,
101}, {22, 57}, {139, 164}, {27, 52}, {73, 102}, {6, 55}, {66, 115}, {10, 56},
{150, 164}, {130, 176}, {30, 44}, {20, 38}, {18, 32}, {70, 116}, {80, 98}, {90,
104}, {10, 57}, {150, 165}, {130, 177}, {30, 45}, {20, 39}, {18, 33}, {70, 117},
{80, 99}, {90, 105}, {17, 37}, {6, 51}, {149, 160}, {29, 40}, {17, 36}, {4, 50},
{67, 116}, {19, 43}, {146, 170}, {86, 110}, {9, 48}, {11, 49}, {148, 174}, {29,
39}, {24, 34}, {21, 47}, {14, 52}, {74, 112}, {81, 107}, {89, 99}, {7, 60},
{148, 175}, {146, 169}, {143, 180}, {24, 35}, {21, 46}, {11, 48}, {67, 120},
{81, 106}, {86, 109}, {142, 178}, {143, 179}, {14, 51}, {76, 113}, {89, 100},
{76, 114}, {147, 173}, {7, 56}, {147, 172}, {142, 177}, {19, 44}, {63, 105},
{31, 69}, {62, 100}, {63, 101}, {31, 67}, {62, 96}, {46, 78}, {58, 90}, {33,
67}, {56, 90}, {61, 95}, {37, 65}, {49, 85}, {47, 74}, {61, 91}, {34, 69}, {44,
68}, {40, 65}, {48, 89}, {43, 66}, {50, 89}, {34, 79}, {41, 68}, {36, 73}, {57,
84}, {39, 73}, {32, 79}, {45, 66}, {59, 84}, {40, 88}, {55, 71}, {60, 76}, {33,
80}, {55, 70}, {52, 70}, {53, 71}, {35, 80}, {35, 87}, {36, 81}, {39, 82}, {58,
76}, {32, 87}, {38, 81}, {37, 82}, {43, 83}, {53, 77}, {50, 74}, {57, 64}, {41,
83}, {47, 85}, {44, 86}, {51, 72}, {42, 86}, {60, 64}, {54, 75}, {38, 88}, {51,
77}, {54, 72}, {49, 78}, {52, 75}, {27, 155}, {28, 158}, {27, 152}, {19, 154},
{22, 159}, {21, 156}, {19, 152}, {22, 157}, {21, 158}, {20, 153}, {20, 155}, {7,
151}, {13, 156}, {13, 159}, {9, 154}, {5, 157}, {7, 153}, {9, 151}, {15, 174},
{12, 174}, {16, 178}, {1, 162}, {15, 172}, {6, 165}, {1, 165}, {16, 180}, {14,
170}, {11, 175}, {3, 166}, {10, 175}, {6, 163}, {5, 160}, {10, 172}, {11, 173},
{12, 171}, {8, 161}, {24, 177}, {14, 167}, {3, 168}, {24, 179}, {8, 164}, {30,
178}, {30, 176}, {4, 180}, {25, 169}, {2, 179}, {2, 176}, {18, 166}, {23, 163},
{4, 177}, {29, 168}, {23, 161}, {29, 170}, {26, 162}, {17, 171}, {18, 169}, {17,
173}, {28, 160}, {25, 167}, {26, 164}, {127, 180}, {95, 147}, {92, 147}, {127,
176}, {93, 140}, {126, 175}, {95, 140}, {94, 139}, {126, 171}, {124, 170}, {92,
139}, {91, 129}, {124, 166}, {123, 161}, {122, 160}, {123, 165}, {94, 129},
{106, 138}, {118, 150}, {116, 150}, {121, 155}, {96, 133}, {125, 152}, {117,
144}, {101, 128}, {99, 133}, {122, 156}, {111, 137}, {109, 138}, {119, 144},
{103, 143}, {110, 134}, {104, 128}, {101, 143}, {125, 151}, {111, 132}, {96,
141}, {107, 134}, {99, 142}, {121, 151}, {97, 142}, {98, 141}, {100, 148}, {120,
136}, {115, 131}, {115, 130}, {112, 130}, {113, 131}, {102, 146}, {114, 135},
{98, 148}, {114, 132}, {112, 135}, {113, 137}, {108, 149}, {104, 146}, {107,
145}, {110, 149}, {109, 145}, {118, 136} }>;
(II) A more general form is to represent the graph as the orbit of {120, 124}
under the group generated by the following permutations:
a: (2, 22)(3, 15)(4, 28)(5, 24)(6, 26)(7, 20)(8, 23)(9, 27)(10, 29)(11, 14)(12,
18)(13, 30)(16, 21)(17, 25)(31, 35)(32, 34)(36, 58)(37, 59)(38, 60)(39, 56)(40,
57)(42, 45)(43, 44)(46, 54)(47, 53)(48, 52)(49, 51)(50, 55)(62, 82)(63, 75)(64,
88)(65, 84)(66, 86)(67, 80)(68, 83)(69, 87)(70, 89)(71, 74)(72, 78)(73, 90)(76,
81)(77, 85)(91, 95)(92, 94)(96, 118)(97, 119)(98, 120)(99, 116)(100, 117)(102,
105)(103, 104)(106, 114)(107, 113)(108, 112)(109, 111)(110, 115)(122, 142)(123,
135)(124, 148)(125, 144)(126, 146)(127, 140)(128, 143)(129, 147)(130, 149)(131,
134)(132, 138)(133, 150)(136, 141)(137, 145)(151, 155)(152, 154)(156, 178)(157,
179)(158, 180)(159, 176)(160, 177)(162, 165)(163, 164)(166, 174)(167, 173)(168,
172)(169, 171)(170, 175) (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, 3, 9)(2, 10, 28)(4, 12, 13)(5, 30, 11)(6, 29, 7)(8, 25, 27)(14, 20,
23)(15, 21, 24)(16, 17, 22)(18, 19, 26)(31, 45, 48)(32, 44, 49)(33, 43, 50)(34,
42, 46)(35, 41, 47)(36, 57, 54)(37, 58, 53)(38, 59, 52)(39, 60, 51)(40, 56,
55)(61, 63, 69)(62, 70, 88)(64, 72, 73)(65, 90, 71)(66, 89, 67)(68, 85, 87)(74,
80, 83)(75, 81, 84)(76, 77, 82)(78, 79, 86)(91, 105, 108)(92, 104, 109)(93, 103,
110)(94, 102, 106)(95, 101, 107)(96, 117, 114)(97, 118, 113)(98, 119, 112)(99,
120, 111)(100, 116, 115)(121, 123, 129)(122, 130, 148)(124, 132, 133)(125, 150,
131)(126, 149, 127)(128, 145, 147)(134, 140, 143)(135, 141, 144)(136, 137,
142)(138, 139, 146)(151, 165, 168)(152, 164, 169)(153, 163, 170)(154, 162,
166)(155, 161, 167)(156, 177, 174)(157, 178, 173)(158, 179, 172)(159, 180,
171)(160, 176, 175)
c: (1, 69, 5, 67)(2, 90, 3, 89)(4, 73, 25, 68)(6, 71, 28, 70)(7, 61, 9, 65)(8,
64, 13, 85)(10, 66, 11, 88)(12, 87)(14, 77, 16, 75)(15, 74, 17, 76)(18, 80, 24,
79)(19, 78, 20, 84)(21, 82, 23, 86)(22, 83, 26, 81)(27, 72)(29, 62, 30, 63)(32,
33, 35, 34)(36, 58, 41, 50)(37, 60, 42, 47)(38, 57, 43, 49)(39, 59, 44, 46)(40,
56, 45, 48)(51, 53, 54, 52)(91, 151)(92, 153, 95, 154)(93, 155, 94, 152)(96,
178, 101, 170)(97, 180, 102, 167)(98, 177, 103, 169)(99, 179, 104, 166)(100,
176, 105, 168)(106, 159, 119, 164)(107, 157, 120, 162)(108, 160, 116, 165)(109,
158, 117, 163)(110, 156, 118, 161)(111, 173, 114, 172)(112, 171, 113, 174)(115,
175)(121, 129, 125, 127)(122, 150, 123, 149)(124, 133, 145, 128)(126, 131, 148,
130)(132, 147)(134, 137, 136, 135)(138, 140, 144, 139)(141, 142, 143, 146)
d: (2, 14)(3, 20)(4, 28)(5, 26)(6, 24)(7, 15)(8, 18)(9, 13)(11, 22)(12, 23)(17,
25)(27, 30)(31, 162)(32, 164)(33, 161)(34, 163)(35, 165)(36, 167)(37, 169)(38,
166)(39, 168)(40, 170)(41, 153)(42, 151)(43, 154)(44, 152)(45, 155)(46, 158)(47,
156)(48, 159)(49, 157)(50, 160)(51, 179)(52, 176)(53, 178)(54, 180)(55, 177)(56,
172)(57, 175)(58, 173)(59, 171)(60, 174)(61, 121)(62, 134)(63, 140)(64, 148)(65,
146)(66, 144)(67, 135)(68, 138)(69, 133)(70, 130)(71, 142)(72, 143)(73, 129)(74,
122)(75, 127)(76, 136)(77, 145)(78, 128)(79, 139)(80, 123)(81, 141)(82, 131)(83,
132)(84, 126)(85, 137)(86, 125)(87, 150)(88, 124)(89, 149)(90, 147)(91, 102)(92,
104)(93, 101)(94, 103)(95, 105)(96, 107)(97, 109)(98, 106)(99, 108)(100,
110)(111, 119)(112, 116)(113, 118)(114, 120)(115, 117)
e: (1, 2, 14)(3, 23, 4)(5, 17, 27)(6, 24, 29)(7, 21, 15)(8, 16, 18)(9, 13,
10)(11, 19, 22)(12, 20, 28)(25, 26, 30)(31, 36, 52)(32, 37, 53)(33, 38, 54)(34,
39, 55)(35, 40, 51)(41, 60, 46)(42, 56, 47)(43, 57, 48)(44, 58, 49)(45, 59,
50)(61, 62, 74)(63, 83, 64)(65, 77, 87)(66, 84, 89)(67, 81, 75)(68, 76, 78)(69,
73, 70)(71, 79, 82)(72, 80, 88)(85, 86, 90)(91, 96, 112)(92, 97, 113)(93, 98,
114)(94, 99, 115)(95, 100, 111)(101, 120, 106)(102, 116, 107)(103, 117,
108)(104, 118, 109)(105, 119, 110)(121, 122, 134)(123, 143, 124)(125, 137,
147)(126, 144, 149)(127, 141, 135)(128, 136, 138)(129, 133, 130)(131, 139,
142)(132, 140, 148)(145, 146, 150)(151, 156, 172)(152, 157, 173)(153, 158,
174)(154, 159, 175)(155, 160, 171)(161, 180, 166)(162, 176, 167)(163, 177,
168)(164, 178, 169)(165, 179, 170)
C4[ 180, 48 ]
180
-1 165 35 162 31
-2 176 36 179 40
-3 45 166 168 41
-4 177 46 180 50
-5 157 160 31 32
-6 55 165 51 163
-7 56 60 151 153
-8 37 38 161 164
-9 154 47 48 151
-10 56 57 172 175
-11 48 49 173 175
-12 33 34 171 174
-13 156 159 42 43
-14 167 170 51 52
-15 172 41 42 174
-16 178 180 53 54
-17 36 37 171 173
-18 33 166 169 32
-19 44 154 152 43
-20 155 38 39 153
-21 46 156 47 158
-22 57 58 157 159
-23 59 60 161 163
-24 34 177 35 179
-25 167 58 59 169
-26 49 50 162 164
-27 155 52 53 152
-28 55 158 160 54
-29 168 170 39 40
-30 44 176 45 178
-31 1 67 69 5
-32 79 5 18 87
-33 12 67 80 18
-34 12 24 79 69
-35 1 24 80 87
-36 2 81 17 73
-37 82 17 8 65
-38 88 81 8 20
-39 82 29 73 20
-40 88 2 29 65
-41 68 3 15 83
-42 13 15 61 86
-43 66 13 83 19
-44 68 19 30 86
-45 66 3 61 30
-46 78 4 63 21
-47 74 85 9 21
-48 11 89 63 9
-49 11 78 26 85
-50 89 4 26 74
-51 77 14 6 72
-52 14 70 27 75
-53 77 16 27 71
-54 16 28 72 75
-55 70 71 6 28
-56 90 7 62 10
-57 22 84 64 10
-58 22 90 25 76
-59 23 25 62 84
-60 23 7 64 76
-61 45 91 95 42
-62 56 100 59 96
-63 46 101 48 105
-64 110 57 60 106
-65 91 37 92 40
-66 45 111 115 43
-67 33 116 31 120
-68 44 41 97 98
-69 34 107 31 108
-70 55 116 117 52
-71 55 53 108 109
-72 93 94 51 54
-73 36 102 103 39
-74 111 112 47 50
-75 101 102 52 54
-76 58 113 114 60
-77 51 96 53 97
-78 46 92 49 93
-79 34 103 104 32
-80 33 99 35 98
-81 36 38 106 107
-82 37 39 117 118
-83 41 119 43 120
-84 57 59 94 95
-85 47 49 118 119
-86 44 110 42 109
-87 35 112 113 32
-88 114 38 115 40
-89 99 100 48 50
-90 56 58 104 105
-91 61 127 129 65
-92 78 147 139 65
-93 78 72 127 140
-94 72 84 139 129
-95 147 61 84 140
-96 77 133 62 141
-97 77 68 125 142
-98 68 80 148 141
-99 89 133 80 142
-100 89 125 148 62
-101 143 128 63 75
-102 121 146 73 75
-103 143 79 126 73
-104 79 90 146 128
-105 121 90 126 63
-106 123 81 138 64
-107 134 145 69 81
-108 123 69 71 149
-109 145 71 138 86
-110 134 149 64 86
-111 66 132 137 74
-112 135 74 130 87
-113 137 76 87 131
-114 88 132 135 76
-115 66 88 130 131
-116 67 122 70 150
-117 144 124 70 82
-118 136 82 150 85
-119 122 144 83 85
-120 67 124 136 83
-121 155 102 105 151
-122 156 116 160 119
-123 165 106 161 108
-124 166 170 117 120
-125 100 151 97 152
-126 103 105 171 175
-127 176 91 180 93
-128 101 157 158 104
-129 167 91 168 94
-130 176 177 112 115
-131 113 168 169 115
-132 154 111 114 153
-133 99 96 162 163
-134 110 171 172 107
-135 112 114 161 162
-136 118 173 174 120
-137 111 156 113 157
-138 106 152 109 153
-139 92 94 163 164
-140 158 93 159 95
-141 166 167 96 98
-142 99 177 178 97
-143 101 179 103 180
-144 154 155 117 119
-145 178 179 107 109
-146 102 169 104 170
-147 92 95 172 173
-148 100 174 98 175
-149 110 159 160 108
-150 165 116 118 164
-151 121 125 7 9
-152 125 27 138 19
-153 132 138 7 20
-154 132 144 19 9
-155 121 144 27 20
-156 122 13 137 21
-157 22 5 137 128
-158 28 128 140 21
-159 22 13 149 140
-160 122 5 28 149
-161 23 123 135 8
-162 1 133 135 26
-163 23 133 6 139
-164 26 139 150 8
-165 1 123 6 150
-166 3 124 18 141
-167 14 25 129 141
-168 3 29 129 131
-169 25 146 18 131
-170 14 124 146 29
-171 12 134 126 17
-172 134 15 147 10
-173 11 136 147 17
-174 12 15 136 148
-175 11 126 148 10
-176 2 127 30 130
-177 24 4 130 142
-178 145 16 30 142
-179 143 2 24 145
-180 143 4 16 127
0