Graph forms
for C4 [ 192, 120 ] = UG(ATD[192,207])
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On this page are computer-accessible forms for the graph C4[ 192, 120 ] =
UG(ATD[192,207]).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {72, 75}, {10, 13}, {67, 75}, {165, 173}, {69, 77}, {144, 152},
{144, 155}, {149, 158}, {1, 13}, {128, 140}, {147, 158}, {67, 77}, {165, 171},
{128, 143}, {1, 16}, {35, 50}, {69, 84}, {139, 154}, {4, 22}, {139, 152}, {4,
16}, {8, 28}, {105, 125}, {35, 53}, {141, 155}, {108, 123}, {141, 154}, {1, 25},
{161, 185}, {103, 125}, {10, 22}, {67, 95}, {72, 84}, {103, 123}, {129, 157},
{1, 28}, {67, 94}, {65, 92}, {65, 95}, {6, 25}, {168, 183}, {138, 170}, {16,
49}, {138, 171}, {88, 122}, {95, 125}, {30, 61}, {6, 34}, {25, 61}, {16, 52},
{70, 98}, {71, 99}, {13, 40}, {71, 98}, {90, 127}, {95, 122}, {129, 164}, {18,
52}, {159, 185}, {144, 182}, {23, 49}, {140, 170}, {68, 99}, {88, 127}, {90,
125}, {13, 37}, {159, 183}, {18, 58}, {30, 55}, {144, 185}, {8, 34}, {158, 180},
{28, 55}, {159, 180}, {30, 53}, {23, 58}, {68, 105}, {28, 50}, {133, 171}, {70,
105}, {137, 185}, {69, 116}, {79, 126}, {135, 182}, {26, 40}, {147, 161}, {29,
47}, {137, 187}, {69, 118}, {158, 173}, {77, 126}, {79, 124}, {133, 177}, {159,
171}, {26, 47}, {31, 42}, {74, 124}, {149, 163}, {18, 37}, {31, 40}, {29, 42},
{20, 46}, {18, 46}, {20, 40}, {135, 187}, {140, 177}, {156, 161}, {156, 163},
{42, 106}, {54, 118}, {8, 73}, {49, 112}, {37, 100}, {10, 73}, {37, 97}, {48,
117}, {10, 76}, {44, 106}, {11, 76}, {44, 100}, {63, 119}, {62, 118}, {56, 112},
{48, 120}, {14, 71}, {62, 119}, {42, 97}, {63, 116}, {43, 96}, {45, 96}, {14,
64}, {56, 118}, {4, 85}, {19, 66}, {17, 66}, {19, 64}, {39, 115}, {11, 94}, {17,
71}, {6, 94}, {58, 98}, {30, 70}, {11, 82}, {25, 64}, {8, 82}, {56, 98}, {41,
115}, {36, 127}, {54, 109}, {4, 88}, {59, 103}, {49, 109}, {41, 117}, {56, 101},
{58, 103}, {6, 88}, {59, 101}, {33, 127}, {11, 85}, {39, 120}, {32, 64}, {62,
94}, {7, 102}, {161, 192}, {9, 107}, {62, 92}, {59, 89}, {52, 86}, {55, 84},
{43, 78}, {32, 70}, {55, 81}, {41, 78}, {43, 76}, {12, 100}, {168, 192}, {12,
102}, {38, 76}, {22, 124}, {23, 124}, {48, 91}, {7, 107}, {9, 100}, {60, 81},
{59, 86}, {57, 84}, {54, 91}, {48, 93}, {20, 121}, {22, 121}, {54, 89}, {52,
91}, {2, 112}, {5, 119}, {60, 79}, {2, 119}, {38, 83}, {7, 114}, {43, 93}, {57,
79}, {45, 91}, {5, 114}, {7, 112}, {41, 83}, {38, 166}, {39, 167}, {21, 148},
{38, 167}, {39, 164}, {12, 136}, {19, 150}, {12, 138}, {19, 155}, {3, 138}, {45,
164}, {5, 143}, {45, 166}, {3, 143}, {24, 148}, {5, 136}, {21, 155}, {24, 150},
{36, 180}, {50, 160}, {51, 160}, {33, 181}, {23, 130}, {51, 166}, {36, 177},
{20, 130}, {63, 168}, {31, 132}, {63, 163}, {31, 129}, {33, 190}, {57, 166}, {3,
162}, {44, 141}, {2, 160}, {26, 184}, {3, 160}, {46, 141}, {27, 184}, {15, 172},
{99, 192}, {57, 157}, {2, 167}, {36, 129}, {33, 132}, {27, 190}, {46, 134}, {47,
135}, {47, 134}, {21, 191}, {9, 162}, {44, 135}, {24, 179}, {29, 177}, {108,
192}, {9, 167}, {21, 186}, {50, 157}, {27, 180}, {26, 181}, {34, 146}, {14,
191}, {29, 175}, {32, 146}, {53, 134}, {27, 175}, {35, 151}, {15, 186}, {61,
136}, {60, 137}, {51, 134}, {34, 151}, {32, 149}, {14, 184}, {35, 149}, {24,
174}, {15, 184}, {60, 139}, {61, 133}, {51, 137}, {15, 179}, {17, 172}, {53,
139}, {17, 174}, {87, 151}, {89, 153}, {104, 169}, {80, 148}, {117, 176}, {104,
174}, {66, 133}, {113, 182}, {117, 178}, {74, 131}, {68, 142}, {80, 154}, {87,
156}, {66, 142}, {68, 136}, {113, 189}, {77, 131}, {89, 151}, {120, 182}, {97,
174}, {102, 169}, {120, 183}, {97, 176}, {108, 189}, {111, 189}, {78, 154},
{102, 176}, {73, 145}, {99, 187}, {101, 189}, {111, 183}, {122, 162}, {123,
162}, {110, 178}, {111, 179}, {73, 148}, {110, 179}, {101, 187}, {122, 164},
{78, 145}, {111, 176}, {72, 168}, {93, 188}, {65, 163}, {87, 181}, {116, 150},
{114, 145}, {65, 165}, {116, 145}, {123, 157}, {90, 178}, {93, 181}, {108, 132},
{86, 188}, {114, 152}, {86, 186}, {110, 130}, {72, 165}, {81, 188}, {87, 186},
{105, 132}, {92, 178}, {110, 128}, {81, 190}, {92, 172}, {115, 131}, {126, 142},
{104, 153}, {113, 128}, {115, 130}, {113, 131}, {126, 140}, {90, 169}, {106,
153}, {74, 190}, {75, 191}, {74, 191}, {109, 152}, {121, 143}, {75, 188}, {121,
142}, {82, 170}, {106, 146}, {107, 147}, {85, 172}, {96, 153}, {107, 146}, {80,
170}, {104, 147}, {109, 150}, {83, 175}, {85, 169}, {96, 156}, {80, 173}, {82,
175}, {83, 173} }>;
(II) A more general form is to represent the graph as the orbit of {72, 75}
under the group generated by the following permutations:
a: (3, 7)(4, 8)(5, 9)(6, 10)(13, 25)(14, 26)(15, 27)(16, 28)(17, 29)(18, 30)(19,
31)(20, 32)(21, 33)(22, 34)(23, 35)(24, 36)(37, 61)(38, 62)(39, 63)(40, 64)(41,
65)(42, 66)(43, 67)(44, 68)(45, 69)(46, 70)(47, 71)(48, 72)(49, 50)(51, 56)(52,
55)(53, 58)(54, 57)(59, 60)(73, 88)(74, 87)(75, 93)(76, 94)(77, 96)(78, 95)(79,
89)(80, 90)(81, 86)(82, 85)(83, 92)(84, 91)(97, 133)(98, 134)(99, 135)(100,
136)(101, 137)(102, 138)(103, 139)(104, 140)(105, 141)(106, 142)(107, 143)(108,
144)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116,
164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 146)(122, 145)(123, 152)(124,
151)(125, 154)(126, 153)(127, 148)(128, 147)(129, 150)(130, 149)(131, 156)(132,
155)(169, 170)(171, 176)(172, 175)(173, 178)(174, 177)(179, 180)(181, 191)(182,
192)(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, 184)(3, 181)(4, 6)(5, 186)(7, 191)(8, 10)(9, 190)(12, 188)(13, 28)(14,
112)(15, 119)(16, 25)(17, 118)(18, 30)(19, 109)(20, 35)(21, 114)(22, 34)(23,
32)(24, 116)(26, 160)(27, 167)(29, 166)(31, 157)(33, 162)(36, 164)(37, 55)(38,
175)(39, 180)(40, 50)(41, 173)(42, 57)(43, 170)(44, 60)(45, 177)(46, 53)(47,
51)(48, 171)(49, 64)(52, 61)(54, 66)(56, 71)(58, 70)(59, 68)(62, 172)(63,
179)(65, 178)(67, 169)(69, 174)(72, 176)(74, 107)(75, 102)(76, 82)(77, 104)(78,
80)(79, 106)(81, 100)(84, 97)(85, 94)(86, 136)(87, 143)(89, 142)(90, 95)(91,
133)(93, 138)(96, 140)(99, 101)(103, 105)(110, 163)(111, 168)(113, 161)(115,
158)(117, 165)(120, 159)(121, 151)(122, 127)(123, 132)(124, 146)(126, 153)(128,
156)(130, 149)(131, 147)(135, 137)(139, 141)(145, 148)(152, 155)(182, 185)(189,
192)
c: (1, 13, 37, 97, 176, 111, 183, 168, 72, 84, 55, 28)(2, 14, 38, 98, 175, 112,
184, 167, 71, 83, 56, 27)(3, 19, 43, 103, 177, 114, 186, 164, 68, 80, 54, 33)(4,
20, 44, 104, 178, 113, 185, 163, 67, 79, 53, 34)(5, 21, 45, 105, 170, 109, 181,
162, 66, 78, 59, 36)(6, 22, 46, 106, 169, 110, 182, 161, 65, 77, 60, 35)(7, 15,
39, 99, 173, 118, 190, 160, 64, 76, 58, 29)(8, 16, 40, 100, 174, 117, 189, 159,
63, 75, 57, 30)(9, 17, 41, 101, 180, 119, 191, 166, 70, 82, 49, 26)(10, 18, 42,
102, 179, 120, 192, 165, 69, 81, 50, 25)(11, 23, 47, 107, 172, 115, 187, 158,
62, 74, 51, 32)(12, 24, 48, 108, 171, 116, 188, 157, 61, 73, 52, 31)(85, 130,
135, 147, 92, 131, 137, 149, 94, 124, 134, 146)(86, 129, 136, 148, 91, 132, 138,
150, 93, 123, 133, 145)(87, 122, 142, 154, 89, 127, 143, 155, 96, 125, 140,
152)(88, 121, 141, 153, 90, 128, 144, 156, 95, 126, 139, 151)
d: (1, 2, 183, 184)(3, 182, 186, 6)(4, 5, 185, 181)(7, 192, 190, 10)(8, 9, 189,
191)(11, 12, 187, 188)(13, 112, 168, 27)(14, 28, 167, 111)(15, 25, 160, 120)(16,
119, 159, 26)(17, 30, 166, 117)(18, 118, 165, 29)(19, 35, 164, 110)(20, 109,
163, 36)(21, 34, 162, 113)(22, 114, 161, 33)(23, 116, 158, 31)(24, 32, 157,
115)(37, 56, 72, 175)(38, 176, 71, 55)(39, 179, 64, 50)(40, 49, 63, 180)(41,
174, 70, 57)(42, 58, 69, 173)(43, 169, 68, 60)(44, 59, 67, 170)(45, 178, 66,
53)(46, 54, 65, 177)(47, 52, 62, 171)(48, 172, 61, 51)(73, 107, 108, 74)(75, 82,
100, 101)(76, 102, 99, 81)(77, 80, 106, 103)(78, 104, 105, 79)(83, 97, 98,
84)(85, 136, 137, 93)(86, 94, 138, 135)(87, 88, 143, 144)(89, 95, 140, 141)(90,
142, 139, 96)(91, 92, 133, 134)(121, 152, 156, 127)(122, 128, 155, 151)(123,
131, 148, 146)(124, 145, 147, 132)(125, 126, 154, 153)(129, 130, 150, 149)
e: (1, 3, 187, 190)(2, 185, 188, 8)(4, 12, 189, 184)(5, 192, 181, 10)(6, 9, 182,
191)(7, 183, 186, 11)(13, 143, 99, 33)(14, 88, 100, 113)(15, 85, 102, 111)(16,
138, 101, 27)(17, 90, 97, 110)(18, 140, 98, 36)(19, 95, 106, 115)(20, 142, 105,
31)(21, 94, 107, 120)(22, 136, 108, 26)(23, 133, 103, 29)(24, 92, 104, 117)(25,
162, 135, 74)(28, 160, 137, 81)(30, 157, 134, 79)(32, 164, 141, 77)(34, 167,
144, 75)(35, 166, 139, 84)(37, 128, 71, 127)(38, 152, 72, 151)(39, 155, 67,
146)(40, 121, 68, 132)(41, 150, 65, 153)(42, 130, 66, 125)(43, 145, 63, 156)(44,
131, 64, 122)(45, 154, 69, 149)(46, 126, 70, 129)(47, 124, 61, 123)(48, 148, 62,
147)(49, 171, 59, 175)(50, 51, 60, 55)(52, 170, 56, 180)(53, 57)(54, 173)(58,
177)(73, 119, 161, 93)(76, 114, 168, 87)(78, 116, 163, 96)(80, 118, 158, 91)(82,
112, 159, 86)(83, 109, 165, 89)(169, 176, 179, 172)(174, 178)
C4[ 192, 120 ]
192
-1 13 25 16 28
-2 112 167 160 119
-3 143 138 160 162
-4 22 88 16 85
-5 143 114 136 119
-6 88 34 25 94
-7 112 102 114 107
-8 34 82 28 73
-9 100 167 107 162
-10 22 13 73 76
-11 82 94 85 76
-12 100 102 136 138
-13 1 37 40 10
-14 191 71 184 64
-15 179 172 184 186
-16 1 4 49 52
-17 66 71 172 174
-18 46 58 37 52
-19 66 155 150 64
-20 121 46 40 130
-21 155 191 148 186
-22 121 124 4 10
-23 58 124 49 130
-24 179 148 150 174
-25 1 6 61 64
-26 47 181 40 184
-27 190 180 184 175
-28 55 1 50 8
-29 177 47 42 175
-30 55 70 61 53
-31 132 40 129 42
-32 146 70 149 64
-33 132 190 181 127
-34 146 6 8 151
-35 50 149 151 53
-36 177 180 127 129
-37 100 13 18 97
-38 166 167 83 76
-39 167 115 120 164
-40 13 26 20 31
-41 78 115 83 117
-42 29 106 31 97
-43 78 93 96 76
-44 100 135 106 141
-45 166 91 96 164
-46 134 18 20 141
-47 134 135 26 29
-48 91 93 117 120
-49 23 112 16 109
-50 35 157 28 160
-51 166 134 137 160
-52 91 16 18 86
-53 35 134 139 30
-54 89 91 118 109
-55 81 28 84 30
-56 101 112 118 98
-57 166 79 157 84
-58 23 103 18 98
-59 89 101 103 86
-60 79 81 137 139
-61 133 25 136 30
-62 92 94 118 119
-63 168 116 119 163
-64 14 25 19 32
-65 165 92 95 163
-66 133 17 19 142
-67 77 94 95 75
-68 99 136 105 142
-69 77 116 84 118
-70 105 30 32 98
-71 99 14 17 98
-72 165 168 84 75
-73 145 148 8 10
-74 124 190 191 131
-75 67 188 191 72
-76 11 38 10 43
-77 67 69 126 131
-78 154 145 41 43
-79 57 124 60 126
-80 154 148 170 173
-81 55 188 190 60
-82 11 170 8 175
-83 38 41 173 175
-84 55 57 69 72
-85 11 4 169 172
-86 188 59 52 186
-87 156 181 151 186
-88 122 4 6 127
-89 59 151 54 153
-90 178 125 169 127
-91 45 48 52 54
-92 178 62 172 65
-93 188 48 181 43
-94 11 67 6 62
-95 67 122 125 65
-96 45 156 43 153
-97 176 37 42 174
-98 56 58 70 71
-99 187 68 71 192
-100 44 12 37 9
-101 187 56 189 59
-102 176 12 169 7
-103 123 58 59 125
-104 147 169 174 153
-105 132 68 70 125
-106 44 146 42 153
-107 146 147 7 9
-108 132 123 189 192
-109 49 150 152 54
-110 178 179 128 130
-111 176 189 179 183
-112 56 2 49 7
-113 189 182 128 131
-114 145 5 7 152
-115 39 41 130 131
-116 145 69 150 63
-117 176 178 48 41
-118 56 69 62 54
-119 2 5 62 63
-120 48 39 182 183
-121 22 143 20 142
-122 88 95 162 164
-123 157 103 162 108
-124 22 23 79 74
-125 90 103 105 95
-126 77 79 140 142
-127 33 88 90 36
-128 110 143 113 140
-129 36 157 31 164
-130 110 23 115 20
-131 77 113 115 74
-132 33 105 31 108
-133 66 177 61 171
-134 46 47 51 53
-135 44 187 47 182
-136 12 68 5 61
-137 187 60 51 185
-138 12 3 170 171
-139 154 60 53 152
-140 177 126 170 128
-141 44 154 155 46
-142 66 121 68 126
-143 121 3 5 128
-144 155 182 152 185
-145 78 114 116 73
-146 34 106 107 32
-147 158 104 161 107
-148 24 80 73 21
-149 35 158 163 32
-150 24 116 19 109
-151 34 89 35 87
-152 144 114 139 109
-153 89 104 106 96
-154 78 80 139 141
-155 144 19 141 21
-156 161 96 163 87
-157 57 123 50 129
-158 147 180 149 173
-159 180 171 183 185
-160 2 3 50 51
-161 156 147 192 185
-162 122 123 3 9
-163 156 149 63 65
-164 45 122 39 129
-165 72 171 173 65
-166 45 57 38 51
-167 2 38 39 9
-168 192 72 183 63
-169 90 102 104 85
-170 80 82 138 140
-171 165 133 159 138
-172 15 92 17 85
-173 165 80 158 83
-174 24 104 17 97
-175 27 82 83 29
-176 111 102 117 97
-177 133 36 29 140
-178 110 90 92 117
-179 110 111 24 15
-180 36 158 27 159
-181 33 26 93 87
-182 144 113 135 120
-183 111 168 159 120
-184 14 15 26 27
-185 144 137 159 161
-186 15 86 21 87
-187 99 101 135 137
-188 81 93 75 86
-189 111 101 113 108
-190 33 81 27 74
-191 14 74 75 21
-192 99 168 161 108
0