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