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