Graph forms
for C4 [ 192, 123 ] = UG(ATD[192,210])
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On this page are computer-accessible forms for the graph C4[ 192, 123 ] =
UG(ATD[192,210]).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {108, 110}, {12, 15}, {57, 61}, {129, 137}, {164, 172}, {70, 79},
{64, 74}, {71, 77}, {119, 125}, {1, 13}, {117, 121}, {114, 127}, {161, 175},
{67, 76}, {131, 140}, {35, 51}, {12, 29}, {167, 182}, {97, 112}, {128, 145}, {9,
27}, {100, 118}, {110, 124}, {65, 82}, {45, 57}, {167, 179}, {166, 178}, {101,
113}, {103, 115}, {3, 21}, {67, 85}, {72, 94}, {132, 147}, {1, 25}, {10, 18},
{32, 57}, {64, 89}, {33, 56}, {69, 92}, {38, 60}, {42, 49}, {160, 187}, {47,
52}, {8, 20}, {43, 55}, {130, 158}, {5, 24}, {163, 190}, {106, 119}, {129, 156},
{40, 54}, {161, 191}, {166, 185}, {22, 54}, {66, 98}, {27, 59}, {131, 163},
{142, 174}, {66, 96}, {137, 171}, {152, 187}, {1, 37}, {6, 34}, {71, 99}, {73,
109}, {80, 116}, {84, 113}, {151, 178}, {128, 165}, {149, 179}, {158, 184}, {3,
36}, {154, 189}, {4, 44}, {8, 32}, {91, 115}, {93, 117}, {146, 186}, {7, 45},
{88, 114}, {12, 39}, {24, 51}, {6, 42}, {156, 176}, {147, 191}, {30, 50}, {26,
54}, {20, 56}, {17, 60}, {155, 182}, {149, 184}, {68, 105}, {69, 104}, {135,
170}, {86, 120}, {95, 112}, {142, 190}, {143, 191}, {134, 183}, {154, 171}, {72,
122}, {139, 185}, {75, 120}, {158, 173}, {136, 188}, {159, 170}, {15, 57}, {90,
109}, {134, 177}, {78, 118}, {9, 48}, {5, 63}, {68, 126}, {1, 61}, {13, 49},
{140, 176}, {143, 179}, {145, 173}, {81, 111}, {148, 170}, {137, 182}, {4, 68},
{36, 100}, {14, 78}, {25, 88}, {28, 94}, {37, 97}, {63, 123}, {44, 104}, {20,
81}, {41, 108}, {37, 96}, {34, 103}, {21, 80}, {51, 117}, {18, 90}, {58, 114},
{46, 102}, {30, 85}, {10, 70}, {56, 116}, {30, 82}, {16, 92}, {12, 65}, {53,
120}, {19, 93}, {39, 105}, {7, 72}, {27, 84}, {24, 87}, {25, 73}, {45, 126},
{60, 111}, {48, 99}, {63, 107}, {42, 127}, {13, 85}, {62, 102}, {18, 74}, {35,
122}, {39, 124}, {15, 83}, {49, 109}, {23, 75}, {34, 125}, {38, 121}, {40, 73},
{14, 108}, {46, 76}, {28, 127}, {11, 111}, {24, 125}, {26, 124}, {6, 110}, {48,
88}, {36, 77}, {17, 123}, {61, 87}, {33, 75}, {37, 78}, {62, 83}, {2, 114}, {32,
80}, {25, 105}, {43, 90}, {55, 70}, {50, 64}, {18, 97}, {40, 91}, {23, 100}, {3,
119}, {19, 103}, {13, 121}, {21, 96}, {54, 67}, {16, 102}, {29, 107}, {42, 93},
{45, 85}, {31, 102}, {33, 91}, {59, 65}, {43, 81}, {21, 105}, {52, 72}, {8,
117}, {41, 84}, {36, 89}, {9, 116}, {28, 98}, {31, 96}, {48, 79}, {43, 171},
{40, 169}, {63, 190}, {47, 174}, {6, 133}, {11, 136}, {9, 141}, {68, 192}, {62,
184}, {62, 180}, {7, 139}, {4, 138}, {35, 172}, {16, 128}, {33, 177}, {44, 189},
{2, 144}, {38, 180}, {38, 181}, {41, 186}, {2, 150}, {22, 130}, {32, 181}, {10,
157}, {50, 165}, {19, 132}, {10, 146}, {58, 162}, {47, 183}, {41, 177}, {11,
147}, {39, 188}, {7, 155}, {59, 167}, {56, 164}, {4, 153}, {35, 190}, {31, 130},
{5, 152}, {29, 131}, {46, 176}, {34, 188}, {3, 163}, {55, 151}, {53, 149}, {5,
165}, {58, 155}, {27, 185}, {50, 144}, {22, 181}, {23, 178}, {49, 148}, {44,
132}, {2, 168}, {53, 159}, {8, 162}, {11, 160}, {17, 189}, {26, 183}, {51, 158},
{20, 186}, {60, 146}, {52, 154}, {47, 129}, {26, 180}, {23, 184}, {31, 175},
{52, 133}, {28, 174}, {58, 136}, {15, 187}, {59, 142}, {30, 169}, {16, 169},
{14, 180}, {22, 172}, {17, 173}, {55, 139}, {53, 137}, {19, 175}, {61, 128},
{66, 131}, {83, 146}, {87, 150}, {77, 143}, {86, 148}, {113, 179}, {90, 153},
{92, 159}, {95, 156}, {69, 129}, {73, 141}, {101, 161}, {103, 163}, {79, 138},
{81, 148}, {86, 144}, {113, 183}, {116, 188}, {119, 191}, {76, 134}, {87, 157},
{98, 168}, {106, 160}, {92, 151}, {93, 145}, {118, 186}, {80, 157}, {107, 166},
{14, 192}, {94, 140}, {110, 189}, {79, 155}, {89, 141}, {120, 172}, {74, 159},
{95, 138}, {78, 153}, {82, 139}, {111, 182}, {118, 175}, {112, 170}, {76, 151},
{123, 160}, {74, 150}, {84, 136}, {91, 135}, {109, 177}, {29, 192}, {88, 133},
{115, 174}, {122, 167}, {125, 162}, {106, 138}, {101, 135}, {121, 154}, {104,
140}, {107, 143}, {77, 168}, {99, 134}, {126, 152}, {67, 171}, {69, 173}, {75,
161}, {122, 144}, {66, 169}, {46, 192}, {123, 149}, {98, 141}, {97, 145}, {104,
152}, {115, 130}, {64, 178}, {124, 142}, {65, 181}, {86, 162}, {112, 132}, {83,
166}, {82, 164}, {71, 176}, {95, 168}, {127, 135}, {100, 157}, {101, 156}, {99,
153}, {94, 165}, {126, 133}, {106, 150}, {70, 187}, {89, 164}, {71, 185}, {108,
147} }>;
(II) A more general form is to represent the graph as the orbit of {108, 110}
under the group generated by the following permutations:
a: (1, 3, 179, 171)(2, 172, 180, 4)(5, 174, 177, 10)(6, 9, 178, 173)(7, 169,
175, 11)(8, 12, 176, 170)(13, 21, 143, 137)(14, 138, 144, 22)(15, 140, 135,
20)(16, 19, 136, 139)(17, 133, 141, 23)(18, 24, 142, 134)(25, 36, 149, 154)(26,
153, 150, 35)(27, 151, 145, 34)(28, 33, 146, 152)(29, 156, 148, 32)(30, 31, 147,
155)(37, 119, 167, 67)(38, 68, 168, 120)(39, 71, 159, 117)(40, 118, 160, 72)(41,
70, 165, 115)(42, 116, 166, 69)(43, 61, 163, 113)(44, 114, 164, 62)(45, 66, 161,
111)(46, 112, 162, 65)(47, 109, 157, 63)(48, 64, 158, 110)(49, 80, 107, 129)(50,
130, 108, 79)(51, 124, 99, 74)(52, 73, 100, 123)(53, 121, 105, 77)(54, 78, 106,
122)(55, 128, 103, 84)(56, 83, 104, 127)(57, 131, 101, 81)(58, 82, 102, 132)(59,
76, 97, 125)(60, 126, 98, 75)(85, 96, 191, 182)(86, 181, 192, 95)(87, 190, 183,
90)(88, 89, 184, 189)(91, 186, 187, 94)(92, 93, 188, 185) (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, 180)(3, 173, 7, 177)(4, 10, 8, 6)(5, 171, 9, 175)(12, 170)(13, 25, 37,
61)(14, 150, 38, 114)(15, 148, 39, 112)(16, 30, 40, 66)(17, 155, 41, 119)(18,
32, 42, 68)(19, 152, 43, 116)(20, 34, 44, 70)(21, 145, 45, 109)(22, 28, 46,
64)(23, 35, 47, 71)(24, 154, 48, 118)(26, 168, 62, 144)(27, 161, 63, 137)(29,
159, 65, 135)(31, 165, 67, 141)(33, 163, 69, 139)(36, 158, 72, 134)(49, 105, 97,
57)(50, 54, 98, 102)(51, 52, 99, 100)(53, 59, 101, 107)(55, 56, 103, 104)(58,
108, 106, 60)(73, 96, 128, 85)(74, 181, 127, 192)(75, 190, 129, 185)(76, 89,
130, 94)(77, 184, 122, 183)(78, 87, 121, 88)(79, 186, 125, 189)(80, 93, 126,
90)(81, 188, 132, 187)(82, 91, 131, 92)(83, 86, 124, 95)(84, 191, 123, 182)(110,
138, 146, 162)(111, 136, 147, 160)(113, 143, 149, 167)(115, 140, 151, 164)(117,
133, 153, 157)(120, 142, 156, 166)(172, 174, 176, 178)
c: (1, 13, 49, 109, 73, 25)(2, 14, 50, 110, 74, 26)(3, 15, 51, 111, 75, 27)(4,
16, 52, 112, 76, 28)(5, 17, 53, 113, 77, 29)(6, 18, 54, 114, 78, 30)(7, 19, 55,
115, 79, 31)(8, 20, 56, 116, 80, 32)(9, 21, 57, 117, 81, 33)(10, 22, 58, 118,
82, 34)(11, 23, 59, 119, 83, 35)(12, 24, 60, 120, 84, 36)(37, 85, 42, 90, 40,
88)(38, 86, 41, 89, 39, 87)(43, 91, 48, 96, 45, 93)(44, 92, 47, 95, 46, 94)(61,
121, 148, 177, 141, 105)(62, 122, 147, 178, 142, 106)(63, 123, 149, 179, 143,
107)(64, 124, 150, 180, 144, 108)(65, 125, 146, 172, 136, 100)(66, 126, 145,
171, 135, 99)(67, 127, 153, 169, 133, 97)(68, 128, 154, 170, 134, 98)(69, 129,
156, 176, 140, 104)(70, 130, 155, 175, 139, 103)(71, 131, 152, 173, 137,
101)(72, 132, 151, 174, 138, 102)(157, 181, 162, 186, 164, 188)(158, 182, 161,
185, 163, 187)(159, 183, 168, 192, 165, 189)(160, 184, 167, 191, 166, 190)
d: (1, 2, 179, 180)(3, 174, 175, 6)(4, 9, 176, 177)(5, 172, 173, 8)(7, 178, 171,
10)(11, 12, 169, 170)(13, 150, 167, 62)(14, 25, 168, 113)(15, 30, 159, 111)(16,
148, 160, 65)(17, 32, 165, 120)(18, 155, 166, 67)(19, 34, 163, 115)(20, 152,
164, 69)(21, 28, 161, 110)(22, 145, 162, 63)(23, 154, 157, 72)(24, 35, 158,
117)(26, 37, 114, 143)(27, 46, 109, 138)(29, 40, 112, 136)(31, 42, 119, 142)(33,
44, 116, 140)(36, 47, 118, 133)(38, 61, 144, 149)(39, 66, 135, 147)(41, 68, 141,
156)(43, 70, 139, 151)(45, 64, 137, 146)(48, 71, 134, 153)(49, 106, 59, 102)(50,
53, 60, 57)(52, 100)(54, 97, 58, 107)(56, 104)(73, 95, 84, 192)(74, 182, 83,
85)(75, 189, 80, 94)(76, 90, 79, 185)(77, 183, 78, 88)(81, 187, 82, 92)(86, 123,
181, 128)(87, 122, 184, 121)(89, 129, 186, 126)(91, 132, 188, 131)(93, 125, 190,
130)(96, 127, 191, 124)(98, 101, 108, 105)
C4[ 192, 123 ]
192
-1 13 25 37 61
-2 144 168 114 150
-3 36 119 163 21
-4 44 68 138 153
-5 165 24 63 152
-6 110 34 133 42
-7 45 155 72 139
-8 117 162 20 32
-9 48 27 116 141
-10 146 157 70 18
-11 111 136 147 160
-12 15 39 29 65
-13 121 1 49 85
-14 78 180 192 108
-15 187 12 57 83
-16 102 92 169 128
-17 123 189 60 173
-18 90 74 97 10
-19 132 103 93 175
-20 56 81 8 186
-21 3 80 105 96
-22 181 172 130 54
-23 100 178 184 75
-24 125 5 51 87
-25 88 1 105 73
-26 124 180 183 54
-27 59 84 9 185
-28 94 127 174 98
-29 12 192 107 131
-30 169 82 50 85
-31 102 96 130 175
-32 57 80 181 8
-33 56 177 91 75
-34 188 103 125 6
-35 122 190 51 172
-36 77 89 100 3
-37 1 78 96 97
-38 121 180 60 181
-39 12 188 124 105
-40 91 169 73 54
-41 177 84 108 186
-42 49 93 6 127
-43 55 90 81 171
-44 132 189 4 104
-45 57 126 7 85
-46 176 102 192 76
-47 183 52 129 174
-48 88 99 79 9
-49 13 148 42 109
-50 165 144 30 64
-51 24 35 158 117
-52 154 133 47 72
-53 137 159 149 120
-54 22 67 26 40
-55 70 139 151 43
-56 33 116 20 164
-57 45 15 61 32
-58 155 114 136 162
-59 167 27 65 142
-60 111 146 38 17
-61 1 57 128 87
-62 102 180 83 184
-63 123 190 5 107
-64 89 178 50 74
-65 12 59 82 181
-66 169 96 98 131
-67 171 85 54 76
-68 4 126 192 105
-69 92 104 129 173
-70 55 187 79 10
-71 77 99 176 185
-72 122 94 7 52
-73 25 40 141 109
-74 159 18 150 64
-75 33 23 161 120
-76 67 46 134 151
-77 143 36 168 71
-78 14 37 118 153
-79 155 48 70 138
-80 157 116 21 32
-81 111 148 20 43
-82 139 30 65 164
-83 166 146 15 62
-84 113 136 27 41
-85 45 67 13 30
-86 144 148 162 120
-87 24 157 61 150
-88 133 25 48 114
-89 36 64 141 164
-90 18 43 109 153
-91 33 135 115 40
-92 69 16 159 151
-93 145 117 19 42
-94 165 28 72 140
-95 112 156 168 138
-96 66 37 31 21
-97 112 145 37 18
-98 66 168 28 141
-99 134 48 71 153
-100 23 36 157 118
-101 156 113 135 161
-102 46 16 62 31
-103 34 115 19 163
-104 44 69 140 152
-105 68 25 39 21
-106 138 160 150 119
-107 143 166 29 63
-108 110 14 147 41
-109 177 90 49 73
-110 189 124 6 108
-111 11 81 60 182
-112 132 170 95 97
-113 101 179 84 183
-114 88 2 58 127
-115 91 103 130 174
-116 56 188 80 9
-117 121 93 51 8
-118 78 100 175 186
-119 3 125 191 106
-120 172 53 75 86
-121 154 13 38 117
-122 144 35 167 72
-123 17 149 160 63
-124 110 26 39 142
-125 34 24 162 119
-126 45 133 68 152
-127 135 114 28 42
-128 165 145 16 61
-129 156 47 69 137
-130 22 158 115 31
-131 66 29 140 163
-132 44 112 147 19
-133 88 126 6 52
-134 99 177 183 76
-135 101 91 170 127
-136 11 188 58 84
-137 171 182 129 53
-138 79 4 95 106
-139 55 82 7 185
-140 176 104 94 131
-141 89 73 9 98
-142 124 190 59 174
-143 77 179 191 107
-144 122 2 50 86
-145 93 128 173 97
-146 60 83 10 186
-147 11 132 191 108
-148 81 49 170 86
-149 123 179 184 53
-150 2 106 74 87
-151 55 178 92 76
-152 187 5 104 126
-153 99 78 90 4
-154 121 189 171 52
-155 79 58 182 7
-156 176 101 95 129
-157 100 80 10 87
-158 51 173 184 130
-159 92 170 74 53
-160 11 187 123 106
-161 101 191 75 175
-162 58 125 8 86
-163 3 190 103 131
-164 56 89 82 172
-165 5 50 94 128
-166 178 83 107 185
-167 122 179 59 182
-168 77 2 95 98
-169 66 16 40 30
-170 112 135 148 159
-171 154 67 137 43
-172 22 35 120 164
-173 145 69 158 17
-174 47 115 28 142
-175 161 19 118 31
-176 46 156 71 140
-177 33 134 41 109
-178 23 166 151 64
-179 143 167 113 149
-180 14 26 38 62
-181 22 38 32 65
-182 111 155 167 137
-183 134 47 113 26
-184 23 158 149 62
-185 166 27 71 139
-186 146 41 118 20
-187 15 70 160 152
-188 34 136 39 116
-189 44 110 154 17
-190 35 63 163 142
-191 143 147 161 119
-192 46 68 14 29
0