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