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