Graph forms
for C4 [ 192, 122 ] = UG(ATD[192,209])
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On this page are computer-accessible forms for the graph C4[ 192, 122 ] =
UG(ATD[192,209]).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {120, 122}, {57, 61}, {131, 135}, {72, 78}, {48, 55}, {69, 76},
{67, 73}, {130, 137}, {1, 13}, {180, 184}, {113, 125}, {128, 141}, {177, 188},
{170, 186}, {6, 23}, {164, 181}, {104, 121}, {110, 127}, {173, 191}, {65, 82},
{4, 16}, {136, 156}, {45, 57}, {39, 51}, {111, 123}, {11, 30}, {171, 190}, {136,
157}, {33, 52}, {72, 94}, {107, 124}, {142, 153}, {133, 146}, {1, 25}, {167,
191}, {160, 184}, {10, 18}, {4, 28}, {67, 90}, {38, 60}, {175, 181}, {143, 149},
{41, 50}, {36, 56}, {166, 186}, {69, 88}, {138, 151}, {8, 22}, {162, 188}, {43,
53}, {65, 95}, {11, 20}, {140, 147}, {96, 127}, {97, 126}, {8, 40}, {22, 54},
{27, 58}, {133, 164}, {141, 175}, {68, 103}, {157, 190}, {155, 184}, {150, 181},
{89, 122}, {1, 37}, {31, 59}, {16, 52}, {6, 34}, {71, 99}, {10, 47}, {64, 101},
{91, 125}, {154, 188}, {11, 44}, {152, 191}, {18, 59}, {143, 166}, {84, 125},
{4, 46}, {10, 32}, {70, 108}, {8, 35}, {66, 105}, {6, 42}, {29, 49}, {26, 54},
{65, 109}, {87, 123}, {134, 170}, {135, 171}, {138, 167}, {20, 58}, {148, 186},
{142, 160}, {140, 162}, {81, 127}, {23, 56}, {145, 190}, {74, 122}, {75, 123},
{67, 119}, {69, 112}, {132, 188}, {137, 177}, {129, 184}, {1, 61}, {13, 49},
{72, 116}, {144, 173}, {139, 180}, {13, 77}, {43, 107}, {20, 84}, {16, 81}, {26,
91}, {6, 68}, {31, 93}, {4, 71}, {32, 100}, {58, 126}, {37, 96}, {8, 64}, {52,
124}, {49, 121}, {37, 109}, {18, 90}, {11, 66}, {34, 107}, {22, 95}, {63, 118},
{23, 92}, {45, 102}, {35, 104}, {29, 86}, {10, 70}, {38, 106}, {30, 82}, {20,
88}, {62, 114}, {34, 111}, {41, 100}, {16, 94}, {32, 110}, {39, 104}, {25, 73},
{35, 115}, {28, 76}, {48, 97}, {13, 85}, {40, 112}, {23, 79}, {18, 74}, {44,
118}, {47, 116}, {46, 114}, {22, 75}, {42, 119}, {61, 98}, {15, 111}, {21, 117},
{43, 74}, {19, 113}, {62, 92}, {45, 79}, {30, 120}, {63, 85}, {14, 101}, {38,
77}, {24, 115}, {15, 99}, {25, 117}, {28, 113}, {62, 83}, {35, 78}, {63, 80},
{55, 71}, {40, 89}, {34, 80}, {32, 83}, {47, 91}, {9, 124}, {53, 64}, {51, 70},
{14, 120}, {50, 68}, {39, 81}, {33, 87}, {28, 106}, {17, 103}, {42, 93}, {25,
97}, {46, 86}, {30, 102}, {24, 98}, {27, 96}, {48, 75}, {44, 87}, {2, 126}, {21,
105}, {5, 121}, {36, 89}, {41, 84}, {60, 66}, {17, 110}, {19, 108}, {3, 130},
{17, 144}, {15, 141}, {7, 131}, {63, 187}, {55, 177}, {14, 137}, {48, 185}, {12,
128}, {57, 180}, {29, 142}, {41, 189}, {53, 161}, {2, 151}, {26, 143}, {19,
134}, {60, 170}, {5, 146}, {27, 140}, {51, 171}, {53, 173}, {12, 149}, {60,
165}, {9, 147}, {57, 163}, {50, 168}, {45, 183}, {31, 133}, {5, 158}, {3, 159},
{39, 187}, {33, 189}, {43, 182}, {50, 175}, {7, 153}, {21, 139}, {3, 156}, {36,
187}, {24, 135}, {9, 169}, {54, 150}, {49, 145}, {58, 155}, {59, 152}, {47,
139}, {19, 182}, {40, 141}, {24, 189}, {7, 161}, {31, 185}, {17, 185}, {5, 172},
{55, 158}, {46, 135}, {33, 136}, {2, 168}, {29, 182}, {2, 174}, {56, 148}, {51,
159}, {42, 134}, {37, 137}, {27, 183}, {9, 165}, {21, 187}, {52, 154}, {36,
138}, {12, 163}, {3, 179}, {7, 178}, {54, 131}, {15, 183}, {61, 133}, {56, 130},
{59, 128}, {12, 176}, {44, 144}, {108, 172}, {96, 161}, {102, 167}, {114, 179},
{123, 186}, {83, 145}, {93, 159}, {125, 191}, {90, 153}, {100, 160}, {109, 169},
{122, 190}, {91, 158}, {116, 178}, {119, 176}, {64, 136}, {82, 154}, {95, 151},
{106, 162}, {85, 156}, {70, 140}, {99, 169}, {127, 181}, {68, 143}, {79, 132},
{80, 155}, {109, 166}, {66, 142}, {77, 129}, {94, 146}, {98, 174}, {71, 138},
{82, 159}, {88, 149}, {14, 192}, {80, 158}, {104, 166}, {92, 147}, {107, 164},
{112, 160}, {119, 167}, {86, 132}, {118, 162}, {101, 176}, {103, 178}, {78,
152}, {114, 164}, {76, 148}, {118, 174}, {26, 192}, {105, 179}, {93, 129}, {112,
172}, {73, 150}, {115, 147}, {117, 149}, {81, 176}, {79, 172}, {74, 174}, {102,
131}, {38, 192}, {78, 168}, {100, 130}, {116, 157}, {121, 144}, {106, 128},
{120, 146}, {90, 177}, {95, 180}, {73, 165}, {76, 161}, {113, 156}, {83, 163},
{92, 173}, {105, 152}, {117, 132}, {99, 145}, {115, 129}, {88, 171}, {87, 163},
{94, 170}, {98, 148}, {111, 153}, {65, 182}, {124, 139}, {75, 179}, {126, 134},
{110, 151}, {85, 175}, {108, 150}, {69, 185}, {89, 165}, {97, 157}, {84, 169},
{103, 154}, {62, 192}, {67, 189}, {86, 168}, {101, 155}, {72, 183}, {77, 178}
}>;
(II) A more general form is to represent the graph as the orbit of {120, 122}
under the group generated by the following permutations:
a: (3, 7)(4, 8)(5, 9)(6, 10)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18, 42)(19,
43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)(25, 61)(26, 62)(27, 63)(28, 64)(29,
65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)(49, 109)(50,
110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59,
119)(60, 120)(73, 133)(74, 134)(75, 135)(76, 136)(77, 137)(78, 138)(79, 139)(80,
140)(81, 141)(82, 142)(83, 143)(84, 144)(85, 96)(86, 95)(87, 88)(89, 94)(90,
93)(91, 92)(97, 98)(99, 104)(100, 103)(101, 106)(102, 105)(107, 108)(121,
169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129,
177)(130, 178)(131, 179)(132, 180)(145, 166)(146, 165)(147, 158)(148, 157)(149,
163)(150, 164)(151, 168)(152, 167)(153, 159)(154, 160)(155, 162)(156, 161)(183,
187)(184, 188)(185, 189)(186, 190) (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, 192)(3, 189, 7, 185)(4, 6, 8, 10)(5, 187, 9, 183)(12, 182)(13, 25, 37,
61)(14, 174, 38, 126)(15, 172, 39, 124)(16, 34, 40, 70)(17, 179, 41, 131)(18,
28, 42, 64)(19, 176, 43, 128)(20, 30, 44, 66)(21, 169, 45, 121)(22, 32, 46,
68)(23, 35, 47, 71)(24, 178, 48, 130)(26, 151, 62, 168)(27, 146, 63, 165)(29,
149, 65, 163)(31, 156, 67, 161)(33, 153, 69, 159)(36, 147, 72, 158)(49, 117,
109, 57)(50, 54, 110, 114)(51, 52, 111, 112)(53, 59, 113, 119)(55, 56, 115,
116)(58, 120, 118, 60)(73, 96, 133, 85)(74, 106, 134, 101)(75, 100, 135,
103)(76, 93, 136, 90)(77, 97, 137, 98)(78, 91, 138, 92)(79, 104, 139, 99)(80,
89, 140, 94)(81, 107, 141, 108)(82, 87, 142, 88)(83, 86, 143, 95)(84, 102, 144,
105)(122, 162, 170, 155)(123, 160, 171, 154)(125, 167, 173, 152)(127, 164, 175,
150)(129, 157, 177, 148)(132, 166, 180, 145)(184, 190, 188, 186)
c: (1, 2, 191, 192)(3, 186, 187, 6)(4, 9, 188, 189)(5, 184, 185, 8)(7, 190, 183,
10)(11, 12, 181, 182)(13, 126, 152, 26)(14, 61, 151, 173)(15, 70, 153, 171)(16,
124, 154, 33)(17, 64, 146, 180)(18, 131, 145, 27)(19, 66, 149, 175)(20, 128,
150, 29)(21, 68, 156, 170)(22, 121, 155, 31)(23, 130, 148, 36)(24, 71, 147,
177)(25, 168, 125, 38)(28, 165, 132, 41)(30, 163, 127, 43)(32, 161, 122, 45)(34,
159, 123, 39)(35, 158, 129, 48)(37, 174, 167, 62)(40, 172, 160, 69)(42, 179,
166, 63)(44, 176, 164, 65)(46, 169, 162, 67)(47, 178, 157, 72)(49, 58, 59,
54)(50, 113, 60, 117)(51, 111)(53, 120, 57, 110)(55, 115)(73, 86, 84, 106)(74,
102, 83, 96)(75, 104, 80, 93)(76, 89, 79, 100)(77, 97, 78, 91)(81, 107, 82,
87)(85, 134, 105, 143)(88, 141, 108, 142)(90, 135, 99, 140)(92, 137, 98,
138)(94, 139, 103, 136)(95, 144, 101, 133)(109, 118, 119, 114)
d: (1, 13, 49, 121, 144, 173, 191, 167, 119, 67, 73, 25)(2, 14, 50, 122, 143,
174, 192, 168, 120, 68, 74, 26)(3, 15, 51, 123, 140, 179, 183, 159, 111, 70, 75,
27)(4, 16, 52, 124, 139, 180, 184, 160, 112, 69, 76, 28)(5, 17, 53, 125, 138,
176, 189, 165, 117, 61, 77, 29)(6, 18, 54, 126, 137, 175, 190, 166, 118, 62, 78,
30)(7, 19, 55, 127, 136, 169, 187, 163, 115, 66, 79, 31)(8, 20, 56, 128, 135,
170, 188, 164, 116, 65, 80, 32)(9, 21, 57, 129, 142, 172, 185, 161, 113, 71, 81,
33)(10, 22, 58, 130, 141, 171, 186, 162, 114, 72, 82, 34)(11, 23, 59, 131, 134,
177, 181, 157, 109, 63, 83, 35)(12, 24, 60, 132, 133, 178, 182, 158, 110, 64,
84, 36)(37, 85, 145, 104, 44, 92, 152, 102, 42, 90, 150, 97)(38, 86, 146, 103,
43, 91, 151, 101, 41, 89, 149, 98)(39, 87, 147, 105, 45, 93, 153, 108, 48, 96,
156, 99)(40, 88, 148, 106, 46, 94, 154, 107, 47, 95, 155, 100)
e: (1, 3, 191, 183)(2, 184, 192, 4)(5, 186, 189, 10)(6, 9, 190, 185)(7, 181,
187, 11)(8, 12, 188, 182)(13, 179, 167, 27)(14, 28, 168, 180)(15, 25, 159,
173)(16, 174, 160, 26)(17, 34, 165, 171)(18, 172, 166, 33)(19, 35, 163, 177)(20,
178, 164, 36)(21, 30, 161, 175)(22, 176, 162, 29)(23, 169, 157, 31)(24, 32, 158,
170)(37, 156, 152, 45)(38, 46, 151, 155)(39, 44, 153, 150)(40, 149, 154, 43)(41,
47, 146, 148)(42, 147, 145, 48)(49, 75, 119, 140)(50, 139, 120, 76)(51, 144,
111, 73)(52, 74, 112, 143)(53, 141, 117, 82)(54, 81, 118, 142)(55, 134, 115,
83)(56, 84, 116, 133)(57, 137, 113, 78)(58, 77, 114, 138)(59, 79, 109, 136)(60,
135, 110, 80)(61, 130, 125, 72)(62, 71, 126, 129)(63, 66, 131, 127)(64, 128,
132, 65)(67, 70, 121, 123)(68, 124, 122, 69)(85, 105, 102, 96)(86, 95, 101,
106)(87, 90, 108, 104)(88, 103, 107, 89)(91, 94, 98, 100)(92, 99, 97, 93)
C4[ 192, 122 ]
192
-1 13 25 37 61
-2 168 126 151 174
-3 156 179 159 130
-4 46 16 71 28
-5 121 146 158 172
-6 23 34 68 42
-7 178 161 131 153
-8 22 35 40 64
-9 165 124 147 169
-10 47 70 18 32
-11 44 66 30 20
-12 176 149 128 163
-13 77 1 49 85
-14 101 137 192 120
-15 99 111 183 141
-16 4 81 94 52
-17 110 144 103 185
-18 90 59 74 10
-19 134 113 182 108
-20 11 88 58 84
-21 187 105 117 139
-22 95 8 75 54
-23 56 79 92 6
-24 189 135 115 98
-25 1 73 117 97
-26 143 91 192 54
-27 58 183 96 140
-28 113 4 106 76
-29 49 182 86 142
-30 11 102 82 120
-31 133 59 93 185
-32 110 100 83 10
-33 189 136 52 87
-34 111 80 6 107
-35 78 104 115 8
-36 187 56 89 138
-37 1 137 96 109
-38 77 60 192 106
-39 187 81 104 51
-40 89 112 8 141
-41 100 189 50 84
-42 134 93 6 119
-43 182 74 107 53
-44 11 144 118 87
-45 57 79 102 183
-46 135 4 114 86
-47 91 116 139 10
-48 55 75 97 185
-49 121 13 145 29
-50 68 168 41 175
-51 70 159 39 171
-52 33 154 124 16
-53 161 173 64 43
-54 22 26 150 131
-55 177 48 158 71
-56 23 36 148 130
-57 45 180 61 163
-58 155 27 126 20
-59 18 128 31 152
-60 66 165 38 170
-61 1 133 57 98
-62 92 114 192 83
-63 187 80 85 118
-64 101 136 8 53
-65 82 182 95 109
-66 11 60 105 142
-67 90 189 73 119
-68 143 103 6 50
-69 88 112 185 76
-70 51 140 108 10
-71 55 99 4 138
-72 78 94 116 183
-73 165 67 25 150
-74 122 18 174 43
-75 22 123 179 48
-76 69 148 28 161
-77 13 178 38 129
-78 35 168 72 152
-79 132 23 45 172
-80 34 155 158 63
-81 176 16 39 127
-82 154 159 30 65
-83 145 62 163 32
-84 125 169 41 20
-85 13 156 63 175
-86 132 46 168 29
-87 33 44 123 163
-88 69 149 171 20
-89 165 122 36 40
-90 67 177 18 153
-91 47 26 125 158
-92 23 147 62 173
-93 159 129 31 42
-94 146 16 170 72
-95 22 180 151 65
-96 37 27 127 161
-97 25 157 48 126
-98 24 148 61 174
-99 145 15 169 71
-100 160 41 130 32
-101 176 155 14 64
-102 45 167 30 131
-103 154 68 178 17
-104 121 166 35 39
-105 66 179 152 21
-106 38 28 128 162
-107 34 124 43 164
-108 70 150 172 19
-109 166 37 169 65
-110 17 127 151 32
-111 34 123 15 153
-112 69 160 40 172
-113 156 125 28 19
-114 46 179 62 164
-115 24 35 147 129
-116 178 47 157 72
-117 132 25 149 21
-118 44 63 162 174
-119 176 67 167 42
-120 122 14 146 30
-121 144 5 49 104
-122 89 190 74 120
-123 111 75 87 186
-124 139 52 107 9
-125 91 113 191 84
-126 2 134 58 97
-127 110 81 181 96
-128 12 59 106 141
-129 77 93 115 184
-130 56 100 3 137
-131 102 135 7 54
-132 188 79 117 86
-133 146 61 31 164
-134 126 170 19 42
-135 24 46 171 131
-136 33 156 157 64
-137 177 14 37 130
-138 167 36 71 151
-139 47 124 180 21
-140 70 147 27 162
-141 15 40 128 175
-142 66 160 29 153
-143 166 68 26 149
-144 44 121 17 173
-145 99 190 49 83
-146 133 5 94 120
-147 92 115 140 9
-148 56 76 98 186
-149 88 143 12 117
-150 181 73 108 54
-151 110 2 138 95
-152 78 59 191 105
-153 111 90 7 142
-154 188 103 82 52
-155 101 58 80 184
-156 3 113 136 85
-157 190 136 116 97
-158 55 80 91 5
-159 3 82 93 51
-160 100 112 184 142
-161 7 96 53 76
-162 188 106 118 140
-163 12 57 83 87
-164 133 114 181 107
-165 89 60 73 9
-166 143 104 109 186
-167 102 191 138 119
-168 78 2 50 86
-169 99 84 9 109
-170 134 60 94 186
-171 88 135 190 51
-172 79 112 5 108
-173 144 92 191 53
-174 2 74 118 98
-175 181 50 85 141
-176 12 101 81 119
-177 55 188 90 137
-178 77 103 116 7
-179 3 114 105 75
-180 57 95 139 184
-181 127 150 164 175
-182 29 19 43 65
-183 45 15 27 72
-184 155 180 160 129
-185 69 48 17 31
-186 166 123 148 170
-187 36 39 63 21
-188 132 154 177 162
-189 33 67 24 41
-190 122 145 157 171
-191 167 125 173 152
-192 14 26 38 62
0