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