Graph forms
for C4 [ 192, 105 ] = UG(ATD[192,158])
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 192, 105 ] =
UG(ATD[192,158]).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {136, 138}, {181, 183}, {141, 143}, {1, 2}, {32, 35}, {1, 5},
{187, 191}, {10, 14}, {3, 7}, {2, 6}, {144, 149}, {184, 189}, {179, 182}, {81,
86}, {153, 158}, {91, 92}, {19, 27}, {68, 76}, {54, 62}, {80, 89}, {179, 186},
{6, 12}, {20, 30}, {179, 184}, {4, 8}, {176, 188}, {2, 15}, {147, 158}, {103,
106}, {18, 28}, {165, 171}, {65, 79}, {6, 9}, {178, 189}, {149, 154}, {81, 94},
{144, 159}, {106, 122}, {3, 18}, {72, 89}, {70, 87}, {43, 58}, {97, 112}, {134,
151}, {36, 54}, {70, 84}, {3, 16}, {73, 90}, {111, 124}, {7, 19}, {173, 185},
{160, 180}, {108, 120}, {4, 17}, {162, 183}, {79, 90}, {78, 91}, {32, 53}, {13,
24}, {12, 26}, {75, 93}, {97, 119}, {109, 123}, {128, 150}, {4, 19}, {172, 187},
{170, 189}, {169, 190}, {161, 182}, {14, 25}, {6, 17}, {5, 18}, {105, 126},
{131, 148}, {131, 155}, {167, 191}, {132, 156}, {10, 19}, {8, 18}, {76, 86},
{12, 23}, {169, 178}, {165, 190}, {36, 63}, {32, 59}, {143, 147}, {9, 20}, {169,
180}, {78, 83}, {35, 62}, {33, 60}, {11, 22}, {137, 148}, {100, 122}, {167,
185}, {166, 184}, {10, 21}, {71, 88}, {34, 61}, {130, 157}, {132, 155}, {133,
165}, {16, 49}, {158, 191}, {145, 176}, {13, 47}, {23, 53}, {22, 52}, {12, 47},
{85, 118}, {8, 44}, {149, 177}, {78, 106}, {30, 58}, {29, 57}, {28, 56}, {9,
45}, {145, 181}, {11, 46}, {31, 58}, {80, 117}, {82, 119}, {20, 50}, {21, 51},
{140, 170}, {81, 118}, {156, 187}, {24, 48}, {25, 49}, {80, 120}, {134, 172},
{159, 181}, {158, 180}, {31, 52}, {84, 127}, {87, 124}, {7, 43}, {74, 102}, {27,
55}, {26, 54}, {30, 51}, {77, 96}, {141, 160}, {5, 42}, {77, 98}, {29, 50},
{128, 175}, {64, 112}, {66, 114}, {92, 108}, {64, 113}, {148, 165}, {79, 126},
{77, 124}, {83, 98}, {72, 122}, {146, 160}, {73, 123}, {78, 125}, {156, 175},
{1, 53}, {142, 186}, {29, 40}, {155, 174}, {4, 50}, {153, 175}, {152, 174}, {30,
41}, {144, 167}, {138, 178}, {27, 34}, {152, 161}, {75, 114}, {31, 38}, {10,
48}, {156, 166}, {14, 52}, {11, 49}, {139, 177}, {140, 182}, {31, 36}, {91, 96},
{131, 184}, {142, 181}, {89, 101}, {154, 166}, {69, 120}, {135, 186}, {13, 51},
{71, 121}, {15, 48}, {76, 115}, {143, 176}, {36, 100}, {24, 93}, {54, 115}, {26,
95}, {43, 99}, {38, 111}, {38, 108}, {61, 119}, {60, 118}, {37, 110}, {33, 108},
{57, 116}, {59, 117}, {34, 109}, {32, 113}, {57, 104}, {37, 116}, {1, 83}, {39,
117}, {23, 69}, {33, 114}, {20, 65}, {37, 115}, {46, 120}, {55, 96}, {63, 104},
{27, 67}, {28, 68}, {42, 112}, {3, 88}, {44, 113}, {40, 118}, {41, 119}, {43,
116}, {45, 114}, {26, 126}, {37, 64}, {38, 65}, {39, 64}, {56, 80}, {61, 85},
{15, 101}, {170, 192}, {41, 67}, {40, 66}, {56, 83}, {171, 192}, {58, 81}, {39,
75}, {29, 112}, {63, 82}, {14, 96}, {46, 94}, {35, 82}, {24, 106}, {28, 110},
{25, 107}, {50, 70}, {51, 71}, {16, 102}, {17, 103}, {23, 111}, {55, 79}, {48,
74}, {49, 75}, {46, 82}, {53, 73}, {52, 72}, {21, 104}, {13, 115}, {22, 105},
{191, 192}, {39, 88}, {7, 135}, {57, 185}, {45, 173}, {35, 163}, {44, 164}, {47,
167}, {44, 166}, {40, 163}, {41, 164}, {59, 168}, {11, 159}, {60, 168}, {42,
189}, {62, 169}, {2, 154}, {9, 147}, {34, 190}, {59, 153}, {8, 171}, {21, 182},
{17, 178}, {60, 152}, {25, 188}, {63, 152}, {62, 150}, {5, 172}, {45, 134}, {33,
142}, {16, 161}, {56, 137}, {61, 139}, {42, 150}, {22, 168}, {47, 145}, {55,
136}, {92, 157}, {74, 142}, {105, 173}, {69, 128}, {85, 146}, {107, 172}, {76,
133}, {70, 140}, {72, 130}, {71, 141}, {109, 161}, {73, 132}, {95, 146}, {98,
175}, {68, 138}, {93, 147}, {121, 183}, {15, 192}, {65, 144}, {107, 186}, {124,
173}, {127, 174}, {85, 128}, {87, 130}, {101, 176}, {125, 168}, {66, 149}, {74,
157}, {86, 129}, {94, 137}, {95, 136}, {90, 130}, {123, 163}, {94, 135}, {110,
183}, {77, 151}, {107, 177}, {88, 131}, {103, 188}, {111, 180}, {84, 136}, {103,
187}, {89, 132}, {92, 129}, {110, 179}, {121, 164}, {91, 133}, {99, 188}, {125,
162}, {101, 133}, {113, 146}, {109, 137}, {117, 145}, {66, 164}, {125, 155},
{69, 162}, {97, 134}, {126, 153}, {105, 129}, {67, 170}, {87, 190}, {98, 139},
{100, 141}, {104, 129}, {68, 174}, {90, 177}, {123, 151}, {99, 140}, {121, 150},
{100, 148}, {122, 138}, {102, 151}, {95, 171}, {127, 139}, {86, 160}, {84, 163},
{127, 135}, {67, 185}, {116, 143}, {102, 154}, {97, 159}, {99, 157}, {93, 162}
}>;
(II) A more general form is to represent the graph as the orbit of {136, 138}
under the group generated by the following permutations:
a: (2, 53)(3, 137)(4, 120)(5, 83)(6, 23)(7, 94)(8, 80)(9, 111)(10, 82)(11,
27)(13, 54)(14, 119)(15, 32)(16, 109)(17, 69)(18, 56)(19, 46)(20, 38)(21,
63)(22, 67)(24, 62)(25, 61)(26, 47)(29, 92)(30, 31)(33, 70)(34, 49)(35, 48)(36,
51)(37, 76)(39, 165)(40, 157)(41, 52)(42, 78)(43, 81)(44, 89)(45, 124)(50,
108)(55, 159)(57, 129)(59, 192)(60, 140)(64, 133)(66, 130)(68, 110)(71, 100)(72,
164)(73, 154)(74, 163)(75, 190)(77, 134)(79, 144)(84, 142)(85, 188)(86, 116)(87,
114)(88, 148)(90, 149)(91, 112)(93, 169)(95, 145)(96, 97)(98, 172)(99, 118)(101,
113)(102, 123)(103, 128)(105, 185)(106, 150)(107, 139)(117, 171)(121, 122)(125,
189)(126, 167)(127, 186)(132, 166)(136, 181)(138, 183)(143, 160)(146, 176)(147,
180)(152, 182)(153, 191)(155, 184)(162, 178)(168, 170)(174, 179)(175, 187) (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: (2, 5)(3, 9)(6, 18)(7, 20)(8, 17)(10, 29)(11, 33)(12, 28)(13, 37)(14, 40)(15,
42)(16, 45)(19, 50)(21, 57)(22, 60)(23, 56)(24, 64)(25, 66)(26, 68)(27, 70)(30,
43)(31, 81)(32, 78)(34, 87)(35, 91)(36, 86)(38, 94)(39, 93)(41, 99)(44, 103)(46,
108)(47, 110)(48, 112)(49, 114)(51, 116)(52, 118)(53, 83)(54, 76)(55, 84)(59,
125)(61, 130)(62, 133)(63, 129)(65, 135)(67, 140)(69, 80)(71, 143)(72, 85)(73,
98)(74, 97)(77, 123)(79, 127)(82, 92)(88, 147)(89, 128)(90, 139)(95, 138)(96,
163)(100, 160)(101, 150)(102, 134)(105, 152)(106, 113)(107, 149)(109, 124)(111,
137)(117, 162)(119, 157)(121, 176)(122, 146)(126, 174)(131, 158)(132, 175)(142,
159)(144, 186)(145, 183)(148, 180)(153, 155)(154, 172)(161, 173)(164, 188)(165,
169)(166, 187)(167, 179)(171, 178)(182, 185)(184, 191)(189, 192)
c: (1, 2, 6, 12, 23, 53)(3, 10, 30, 36, 46, 109)(4, 13, 38, 35, 56, 102)(5, 15,
9, 26, 69, 73)(7, 21, 58, 63, 94, 161)(8, 24, 65, 62, 80, 151)(11, 34, 88, 14,
41, 100)(16, 19, 51, 31, 82, 137)(17, 47, 111, 32, 83, 154)(18, 48, 20, 54, 120,
123)(22, 61, 131, 25, 67, 141)(27, 71, 52, 119, 148, 49)(28, 74, 50, 115, 108,
163)(29, 76, 33, 84, 110, 157)(37, 92, 40, 68, 142, 70)(39, 96, 164, 122, 159,
190)(42, 101, 45, 95, 162, 90)(43, 104, 81, 152, 135, 182)(44, 106, 144, 169,
117, 77)(55, 121, 72, 97, 165, 75)(57, 86, 60, 127, 179, 99)(59, 98, 166, 103,
167, 180)(64, 91, 66, 138, 181, 87)(78, 149, 178, 145, 124, 113)(79, 150, 89,
134, 171, 93)(85, 155, 107, 170, 143, 105)(112, 133, 114, 136, 183, 130)(116,
129, 118, 174, 186, 140)(125, 177, 189, 176, 173, 146)(126, 128, 132, 172, 192,
147)(139, 184, 188, 185, 160, 168)(153, 175, 156, 187, 191, 158)
C4[ 192, 105 ]
192
-1 2 5 83 53
-2 154 1 15 6
-3 88 16 7 18
-4 17 50 8 19
-5 1 18 172 42
-6 12 2 17 9
-7 3 135 19 43
-8 44 4 171 18
-9 45 147 6 20
-10 14 48 19 21
-11 22 46 49 159
-12 23 47 26 6
-13 24 47 115 51
-14 25 52 96 10
-15 2 101 48 192
-16 3 102 49 161
-17 178 4 103 6
-18 3 5 28 8
-19 4 27 7 10
-20 50 30 9 65
-21 104 182 51 10
-22 11 168 105 52
-23 12 111 69 53
-24 13 48 93 106
-25 188 14 49 107
-26 12 126 95 54
-27 55 34 67 19
-28 110 56 68 18
-29 57 112 50 40
-30 58 51 41 20
-31 36 58 38 52
-32 35 113 59 53
-33 114 60 108 142
-34 190 27 61 109
-35 82 62 163 32
-36 100 63 31 54
-37 110 115 116 64
-38 111 31 108 65
-39 88 117 64 75
-40 66 29 118 163
-41 67 30 119 164
-42 112 189 5 150
-43 99 58 116 7
-44 166 113 8 164
-45 134 114 173 9
-46 11 82 94 120
-47 12 13 145 167
-48 24 15 74 10
-49 11 25 16 75
-50 4 70 29 20
-51 13 71 30 21
-52 22 14 72 31
-53 1 23 73 32
-54 36 26 115 62
-55 79 136 27 96
-56 80 137 28 83
-57 104 116 29 185
-58 81 30 31 43
-59 168 117 32 153
-60 33 168 118 152
-61 34 139 85 119
-62 35 169 150 54
-63 36 82 104 152
-64 112 113 37 39
-65 144 79 38 20
-66 114 149 40 164
-67 27 170 41 185
-68 28 138 174 76
-69 23 128 162 120
-70 50 84 140 87
-71 88 121 51 141
-72 89 122 52 130
-73 132 90 123 53
-74 102 157 48 142
-75 114 49 93 39
-76 133 68 115 86
-77 124 96 151 98
-78 91 125 83 106
-79 55 90 126 65
-80 56 89 117 120
-81 58 94 118 86
-82 35 46 63 119
-83 1 56 78 98
-84 70 136 127 163
-85 146 61 128 118
-86 81 160 129 76
-87 124 190 70 130
-88 3 71 39 131
-89 132 101 80 72
-90 177 79 73 130
-91 78 133 92 96
-92 91 157 129 108
-93 24 147 162 75
-94 46 135 81 137
-95 146 26 136 171
-96 55 77 14 91
-97 112 134 159 119
-98 77 83 139 175
-99 188 157 140 43
-100 122 36 148 141
-101 176 89 133 15
-102 154 16 74 151
-103 187 188 17 106
-104 57 63 129 21
-105 22 126 129 173
-106 78 122 24 103
-107 177 25 172 186
-108 33 92 38 120
-109 34 123 137 161
-110 179 37 28 183
-111 23 124 180 38
-112 29 42 64 97
-113 44 146 64 32
-114 33 66 45 75
-115 13 37 54 76
-116 143 57 37 43
-117 145 80 59 39
-118 81 60 40 85
-119 82 61 41 97
-120 46 69 80 108
-121 71 150 183 164
-122 100 72 138 106
-123 73 151 163 109
-124 77 111 173 87
-125 78 155 168 162
-126 79 26 105 153
-127 135 84 139 174
-128 69 150 85 175
-129 92 104 105 86
-130 90 157 72 87
-131 88 155 148 184
-132 89 155 156 73
-133 165 101 91 76
-134 45 172 151 97
-135 94 127 7 186
-136 55 138 84 95
-137 56 148 94 109
-138 122 68 178 136
-139 177 61 127 98
-140 99 70 170 182
-141 143 100 71 160
-142 33 181 74 186
-143 176 147 116 141
-144 167 159 149 65
-145 176 47 181 117
-146 113 160 95 85
-147 143 158 93 9
-148 165 100 137 131
-149 66 154 144 177
-150 121 62 128 42
-151 77 123 134 102
-152 60 161 63 174
-153 59 158 126 175
-154 166 2 102 149
-155 132 125 174 131
-156 132 187 166 175
-157 99 92 74 130
-158 147 180 191 153
-159 11 144 181 97
-160 146 180 86 141
-161 16 182 152 109
-162 69 125 93 183
-163 35 123 40 84
-164 44 66 121 41
-165 133 190 148 171
-166 44 154 156 184
-167 144 47 191 185
-168 22 59 125 60
-169 178 190 180 62
-170 67 189 192 140
-171 165 192 95 8
-172 187 134 5 107
-173 45 124 105 185
-174 155 68 127 152
-175 156 128 98 153
-176 143 188 101 145
-177 90 149 139 107
-178 189 169 17 138
-179 110 182 184 186
-180 111 158 169 160
-181 145 159 183 142
-182 179 161 140 21
-183 110 121 181 162
-184 166 189 179 131
-185 67 57 167 173
-186 135 179 107 142
-187 156 103 191 172
-188 99 176 25 103
-189 178 170 184 42
-190 165 34 169 87
-191 187 167 158 192
-192 15 191 170 171
0