Graph forms
for C4 [ 240, 84 ] = UG(ATD[240,133])
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 240, 84 ] =
UG(ATD[240,133]).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {12, 14}, {96, 98}, {96, 101}, {8, 15}, {144, 151}, {48, 55},
{10, 13}, {9, 14}, {228, 238}, {1, 13}, {3, 15}, {226, 239}, {225, 238}, {109,
125}, {224, 240}, {169, 185}, {110, 127}, {170, 187}, {106, 120}, {170, 184},
{110, 124}, {44, 56}, {193, 213}, {140, 152}, {111, 123}, {46, 57}, {195, 212},
{171, 188}, {142, 153}, {109, 122}, {1, 25}, {3, 27}, {107, 114}, {167, 190},
{166, 191}, {45, 55}, {201, 211}, {141, 151}, {37, 57}, {200, 212}, {171, 183},
{162, 190}, {133, 153}, {107, 119}, {108, 112}, {39, 56}, {204, 211}, {202,
213}, {169, 182}, {135, 152}, {106, 117}, {108, 115}, {6, 38}, {69, 101}, {73,
105}, {71, 102}, {204, 237}, {203, 234}, {202, 235}, {5, 39}, {202, 232}, {157,
191}, {1, 34}, {3, 32}, {2, 33}, {75, 104}, {92, 127}, {1, 37}, {203, 239}, {64,
100}, {27, 63}, {25, 61}, {66, 102}, {2, 39}, {2, 36}, {20, 51}, {22, 49}, {21,
50}, {67, 100}, {87, 127}, {24, 50}, {207, 228}, {219, 240}, {144, 188}, {11,
38}, {72, 101}, {10, 37}, {205, 226}, {78, 126}, {212, 228}, {139, 187}, {76,
125}, {141, 188}, {143, 189}, {154, 168}, {84, 103}, {136, 187}, {77, 121},
{214, 226}, {94, 107}, {152, 173}, {95, 106}, {76, 122}, {217, 239}, {213, 227},
{81, 103}, {138, 189}, {80, 104}, {148, 172}, {94, 102}, {155, 162}, {82, 105},
{216, 227}, {151, 172}, {149, 174}, {13, 49}, {204, 240}, {156, 160}, {155,
167}, {146, 174}, {15, 51}, {95, 97}, {147, 173}, {154, 165}, {156, 163}, {21,
85}, {169, 233}, {170, 232}, {20, 87}, {154, 217}, {153, 218}, {152, 219}, {13,
73}, {174, 234}, {63, 123}, {61, 121}, {14, 75}, {173, 232}, {156, 218}, {160,
231}, {162, 229}, {20, 92}, {147, 219}, {145, 217}, {54, 126}, {52, 124}, {30,
86}, {158, 215}, {159, 214}, {29, 87}, {21, 94}, {52, 127}, {36, 111}, {25, 85},
{162, 238}, {161, 237}, {160, 236}, {26, 87}, {19, 93}, {31, 80}, {34, 109},
{36, 116}, {51, 99}, {49, 97}, {131, 210}, {161, 240}, {26, 72}, {31, 75}, {132,
208}, {131, 215}, {34, 118}, {35, 117}, {130, 213}, {132, 211}, {18, 74}, {179,
234}, {17, 75}, {130, 216}, {35, 120}, {178, 233}, {58, 97}, {57, 98}, {56, 99},
{23, 74}, {60, 98}, {158, 192}, {22, 73}, {27, 68}, {26, 69}, {25, 70}, {47,
79}, {143, 239}, {161, 192}, {179, 209}, {38, 69}, {16, 116}, {180, 208}, {39,
67}, {17, 117}, {42, 79}, {143, 234}, {178, 212}, {19, 116}, {180, 211}, {142,
233}, {20, 115}, {142, 230}, {33, 74}, {32, 76}, {41, 69}, {40, 68}, {33, 77},
{32, 79}, {44, 67}, {43, 68}, {43, 90}, {182, 199}, {164, 214}, {182, 196}, {19,
96}, {181, 198}, {45, 94}, {37, 81}, {43, 95}, {35, 86}, {144, 229}, {44, 89},
{38, 80}, {161, 215}, {34, 85}, {45, 85}, {160, 216}, {41, 80}, {44, 86}, {14,
117}, {183, 204}, {163, 216}, {15, 115}, {178, 207}, {179, 206}, {144, 238},
{183, 201}, {181, 203}, {46, 81}, {7, 135}, {9, 137}, {8, 136}, {96, 224}, {8,
139}, {76, 200}, {91, 223}, {79, 200}, {88, 223}, {28, 148}, {59, 179}, {30,
150}, {78, 199}, {84, 221}, {83, 217}, {7, 140}, {58, 177}, {31, 148}, {82,
222}, {58, 180}, {84, 218}, {9, 134}, {42, 186}, {60, 172}, {53, 165}, {52,
164}, {51, 163}, {40, 185}, {113, 224}, {88, 202}, {89, 203}, {12, 159}, {60,
175}, {55, 164}, {83, 199}, {42, 191}, {59, 174}, {10, 157}, {50, 165}, {41,
190}, {81, 201}, {90, 194}, {88, 193}, {56, 163}, {41, 181}, {64, 220}, {66,
222}, {84, 201}, {40, 182}, {64, 223}, {89, 198}, {90, 197}, {63, 159}, {65,
225}, {66, 227}, {48, 146}, {11, 168}, {62, 157}, {48, 149}, {65, 228}, {8,
175}, {104, 207}, {12, 164}, {114, 218}, {18, 186}, {16, 184}, {101, 205}, {109,
197}, {103, 206}, {100, 206}, {110, 196}, {113, 219}, {16, 187}, {3, 175}, {17,
189}, {10, 166}, {99, 207}, {112, 220}, {18, 191}, {11, 165}, {98, 205}, {114,
221}, {112, 223}, {54, 134}, {36, 149}, {119, 198}, {53, 132}, {82, 227}, {83,
226}, {53, 135}, {2, 177}, {118, 197}, {4, 176}, {114, 198}, {61, 137}, {53,
129}, {49, 133}, {33, 149}, {5, 177}, {35, 150}, {54, 131}, {50, 135}, {47,
154}, {46, 155}, {113, 196}, {62, 136}, {7, 176}, {46, 150}, {62, 132}, {122,
192}, {90, 225}, {59, 134}, {93, 224}, {47, 145}, {95, 225}, {58, 133}, {63,
128}, {62, 129}, {61, 130}, {45, 237}, {5, 196}, {42, 235}, {23, 214}, {22,
215}, {77, 140}, {5, 199}, {6, 197}, {6, 194}, {47, 235}, {40, 236}, {22, 210},
{73, 141}, {78, 139}, {74, 140}, {4, 195}, {123, 188}, {122, 189}, {121, 190},
{43, 236}, {111, 168}, {26, 210}, {120, 176}, {66, 138}, {110, 166}, {24, 209},
{65, 136}, {27, 209}, {4, 200}, {123, 183}, {121, 181}, {28, 208}, {71, 138},
{78, 131}, {29, 210}, {31, 208}, {70, 137}, {77, 130}, {105, 185}, {12, 221},
{17, 192}, {107, 186}, {92, 143}, {120, 171}, {9, 221}, {115, 167}, {93, 137},
{11, 222}, {91, 142}, {108, 185}, {24, 206}, {92, 138}, {86, 129}, {112, 167},
{113, 166}, {4, 220}, {119, 175}, {6, 222}, {83, 139}, {88, 128}, {89, 129},
{23, 205}, {7, 220}, {119, 172}, {118, 173}, {68, 159}, {91, 128}, {93, 134},
{65, 157}, {118, 170}, {116, 168}, {100, 184}, {102, 186}, {48, 237}, {67, 158},
{64, 158}, {91, 133}, {82, 141}, {103, 184}, {125, 156}, {72, 171}, {125, 153},
{126, 155}, {124, 148}, {126, 150}, {124, 151}, {70, 169}, {111, 128}, {21,
229}, {28, 236}, {97, 145}, {99, 147}, {23, 230}, {32, 209}, {71, 180}, {18,
230}, {55, 195}, {54, 194}, {19, 231}, {70, 178}, {29, 232}, {29, 235}, {71,
177}, {16, 231}, {52, 195}, {30, 233}, {30, 230}, {57, 193}, {72, 176}, {59,
194}, {28, 231}, {104, 147}, {105, 146}, {106, 145}, {24, 229}, {60, 193}, {108,
146} }>;
(II) A more general form is to represent the graph as the orbit of {12, 14}
under the group generated by the following permutations:
a: (4, 148)(5, 149)(6, 150)(7, 208)(8, 209)(9, 210)(10, 85)(11, 86)(12, 87)(13,
25)(14, 26)(15, 27)(16, 100)(17, 101)(18, 102)(19, 158)(20, 159)(21, 157)(22,
137)(23, 138)(24, 136)(28, 220)(29, 221)(30, 222)(31, 176)(32, 175)(33, 177)(34,
37)(35, 38)(36, 39)(40, 108)(41, 106)(42, 107)(43, 167)(44, 168)(45, 166)(46,
197)(47, 198)(48, 196)(49, 61)(50, 62)(51, 63)(55, 110)(56, 111)(57, 109)(58,
77)(59, 78)(60, 76)(64, 231)(65, 229)(66, 230)(67, 116)(68, 115)(69, 117)(70,
73)(71, 74)(72, 75)(79, 119)(80, 120)(81, 118)(82, 233)(83, 234)(84, 232)(88,
156)(89, 154)(90, 155)(91, 216)(92, 214)(93, 215)(94, 191)(95, 190)(96, 192)(97,
121)(98, 122)(99, 123)(103, 170)(104, 171)(105, 169)(112, 236)(113, 237)(114,
235)(124, 195)(125, 193)(126, 194)(127, 164)(128, 163)(129, 165)(130, 133)(131,
134)(132, 135)(139, 179)(140, 180)(141, 178)(142, 227)(143, 226)(144, 228)(145,
181)(146, 182)(147, 183)(151, 212)(152, 211)(153, 213)(160, 223)(161, 224)(162,
225)(172, 200)(173, 201)(174, 199)(187, 206)(188, 207)(189, 205)(202, 218)(203,
217)(204, 219) (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, 13)(2, 14)(3, 15)(4, 220)(5, 221)(6, 222)(7, 176)(8, 175)(9, 177)(10,
37)(11, 38)(12, 39)(16, 148)(17, 149)(18, 150)(19, 208)(20, 209)(21, 210)(22,
85)(23, 86)(24, 87)(25, 49)(26, 50)(27, 51)(28, 231)(29, 229)(30, 230)(31,
116)(32, 115)(33, 117)(34, 73)(35, 74)(36, 75)(40, 156)(41, 154)(42, 155)(43,
216)(44, 214)(45, 215)(46, 191)(47, 190)(48, 192)(52, 100)(53, 101)(54, 102)(55,
158)(56, 159)(57, 157)(58, 137)(59, 138)(60, 136)(61, 97)(62, 98)(63, 99)(64,
195)(65, 193)(66, 194)(67, 164)(68, 163)(69, 165)(70, 133)(71, 134)(72, 135)(76,
108)(77, 106)(78, 107)(79, 167)(80, 168)(81, 166)(82, 197)(83, 198)(84, 196)(88,
228)(89, 226)(90, 227)(91, 178)(92, 179)(93, 180)(94, 131)(95, 130)(96,
132)(103, 110)(104, 111)(105, 109)(112, 200)(113, 201)(114, 199)(118, 141)(119,
139)(120, 140)(121, 145)(122, 146)(123, 147)(124, 184)(125, 185)(126, 186)(127,
206)(128, 207)(129, 205)(142, 233)(143, 234)(144, 232)(151, 170)(152, 171)(153,
169)(160, 236)(161, 237)(162, 235)(172, 187)(173, 188)(174, 189)(181, 217)(182,
218)(183, 219)(202, 238)(203, 239)(204, 240)(211, 224)(212, 223)(213, 225)
c: (2, 3)(4, 7)(5, 8)(6, 9)(11, 12)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18,
42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)(25, 34)(26, 35)(27, 36)(29,
30)(32, 33)(49, 57)(50, 55)(51, 56)(52, 53)(58, 60)(61, 109)(62, 110)(63,
111)(64, 112)(65, 113)(66, 114)(67, 115)(68, 116)(69, 117)(70, 118)(71, 119)(72,
120)(73, 81)(74, 79)(75, 80)(76, 77)(82, 84)(86, 87)(88, 91)(89, 92)(90, 93)(95,
96)(97, 98)(100, 108)(101, 106)(102, 107)(103, 105)(121, 122)(124, 132)(125,
130)(126, 131)(127, 129)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138,
198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146,
206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154,
214)(155, 215)(156, 216)(157, 166)(158, 167)(159, 168)(161, 162)(164, 165)(169,
170)(172, 180)(173, 178)(174, 179)(175, 177)(181, 189)(182, 187)(183, 188)(184,
185)(190, 192)(217, 226)(218, 227)(219, 228)(221, 222)(224, 225)(229, 237)(230,
235)(231, 236)(232, 233)(238, 240)
d: (1, 4, 181, 184, 145, 148)(2, 5, 182, 185, 146, 149)(3, 6, 183, 186, 147,
150)(7, 89, 187, 95, 151, 85)(8, 90, 188, 94, 152, 86)(9, 88, 189, 96, 153,
87)(10, 212, 190, 206, 154, 208)(11, 211, 191, 207, 155, 209)(12, 213, 192, 205,
156, 210)(13, 195, 121, 100, 217, 28)(14, 193, 122, 101, 218, 29)(15, 194, 123,
102, 219, 30)(16, 97, 124, 25, 220, 203)(17, 98, 125, 26, 221, 202)(18, 99, 126,
27, 222, 204)(19, 133, 127, 137, 223, 143)(20, 134, 128, 138, 224, 142)(21, 135,
129, 136, 225, 144)(22, 164, 130, 158, 226, 160)(23, 163, 131, 159, 227,
161)(24, 165, 132, 157, 228, 162)(31, 37, 200, 41, 103, 47)(32, 38, 201, 42,
104, 46)(33, 39, 199, 40, 105, 48)(34, 176, 198, 170, 106, 172)(35, 175, 197,
171, 107, 173)(36, 177, 196, 169, 108, 174)(43, 141, 45, 140, 44, 139)(49, 52,
61, 64, 239, 231)(50, 53, 62, 65, 238, 229)(51, 54, 63, 66, 240, 230)(55, 77,
67, 83, 236, 73)(56, 78, 68, 82, 237, 74)(57, 76, 69, 84, 235, 75)(58, 110, 70,
112, 234, 116)(59, 111, 71, 113, 233, 115)(60, 109, 72, 114, 232, 117)(79, 80,
81)(91, 92, 93)(118, 120, 119)(166, 178, 167, 179, 168, 180)(214, 216, 215)
e: (1, 2, 3)(4, 9, 11)(5, 8, 10)(6, 7, 12)(13, 39, 175)(14, 38, 176)(15, 37,
177)(16, 42, 169)(17, 41, 171)(18, 40, 170)(19, 47, 178)(20, 46, 180)(21, 48,
179)(22, 44, 172)(23, 43, 173)(24, 45, 174)(25, 36, 32)(26, 35, 31)(27, 34,
33)(28, 29, 30)(49, 56, 60)(50, 55, 59)(51, 57, 58)(52, 54, 53)(61, 111, 76)(62,
110, 78)(63, 109, 77)(64, 114, 82)(65, 113, 83)(66, 112, 84)(67, 119, 73)(68,
118, 74)(69, 120, 75)(70, 116, 79)(71, 115, 81)(72, 117, 80)(85, 149, 209)(86,
148, 210)(87, 150, 208)(88, 153, 216)(89, 151, 215)(90, 152, 214)(91, 156,
213)(92, 155, 211)(93, 154, 212)(94, 146, 206)(95, 147, 205)(96, 145, 207)(97,
99, 98)(100, 107, 105)(101, 106, 104)(102, 108, 103)(121, 123, 122)(124, 131,
129)(125, 130, 128)(126, 132, 127)(133, 163, 193)(134, 165, 195)(135, 164,
194)(136, 166, 199)(137, 168, 200)(138, 167, 201)(139, 157, 196)(140, 159,
197)(141, 158, 198)(142, 160, 202)(143, 162, 204)(144, 161, 203)(181, 188,
192)(182, 187, 191)(183, 189, 190)(184, 186, 185)(217, 228, 224)(218, 227,
223)(219, 226, 225)(220, 221, 222)(229, 237, 234)(230, 236, 232)(231, 235,
233)(238, 240, 239)
C4[ 240, 84 ]
240
-1 34 13 25 37
-2 33 177 36 39
-3 15 27 32 175
-4 176 220 200 195
-5 177 199 39 196
-6 222 38 194 197
-7 176 220 135 140
-8 15 136 139 175
-9 221 134 14 137
-10 166 13 157 37
-11 165 222 168 38
-12 221 14 159 164
-13 1 49 73 10
-14 12 117 9 75
-15 3 115 51 8
-16 187 231 116 184
-17 189 192 117 75
-18 191 74 186 230
-19 231 93 116 96
-20 92 115 51 87
-21 50 94 85 229
-22 210 49 215 73
-23 214 205 74 230
-24 209 50 206 229
-25 1 70 61 85
-26 210 69 72 87
-27 209 68 3 63
-28 231 148 236 208
-29 210 232 235 87
-30 233 150 86 230
-31 80 148 75 208
-32 209 79 3 76
-33 77 2 149 74
-34 1 85 118 109
-35 117 150 86 120
-36 111 2 116 149
-37 1 57 81 10
-38 11 69 80 6
-39 56 67 2 5
-40 68 236 182 185
-41 69 80 190 181
-42 79 191 235 186
-43 68 90 236 95
-44 56 67 89 86
-45 55 94 237 85
-46 155 57 81 150
-47 154 79 145 235
-48 55 146 149 237
-49 22 133 13 97
-50 165 24 135 21
-51 99 15 20 163
-52 124 127 195 164
-53 132 165 135 129
-54 134 126 194 131
-55 45 48 195 164
-56 44 99 39 163
-57 46 37 193 98
-58 133 177 180 97
-59 134 179 194 174
-60 193 172 98 175
-61 121 25 137 130
-62 132 157 136 129
-63 123 27 159 128
-64 220 100 223 158
-65 157 136 225 228
-66 222 102 138 227
-67 44 100 158 39
-68 27 159 40 43
-69 101 26 38 41
-70 178 25 169 137
-71 177 102 180 138
-72 176 101 26 171
-73 22 13 105 141
-74 33 23 18 140
-75 14 104 17 31
-76 122 200 125 32
-77 33 121 140 130
-78 199 126 139 131
-79 200 47 42 32
-80 38 104 41 31
-81 46 201 37 103
-82 222 105 227 141
-83 199 226 139 217
-84 221 201 103 218
-85 34 45 25 21
-86 44 35 30 129
-87 26 127 29 20
-88 223 202 193 128
-89 44 198 203 129
-90 225 194 43 197
-91 133 223 128 142
-92 143 127 138 20
-93 134 224 137 19
-94 45 102 107 21
-95 225 106 97 43
-96 101 224 19 98
-97 145 58 49 95
-98 57 60 205 96
-99 56 147 51 207
-100 67 184 206 64
-101 69 72 205 96
-102 66 71 94 186
-103 81 84 184 206
-104 80 147 75 207
-105 146 82 73 185
-106 145 95 117 120
-107 114 94 119 186
-108 112 146 115 185
-109 34 122 125 197
-110 166 124 127 196
-111 123 36 168 128
-112 220 167 223 108
-113 166 224 196 219
-114 198 221 107 218
-115 167 15 20 108
-116 36 168 16 19
-117 35 14 17 106
-118 34 170 173 197
-119 198 172 107 175
-120 176 35 171 106
-121 77 190 181 61
-122 189 192 76 109
-123 111 188 183 63
-124 110 148 52 151
-125 156 76 109 153
-126 78 155 150 54
-127 110 92 52 87
-128 88 111 91 63
-129 89 62 53 86
-130 77 213 61 216
-131 78 210 215 54
-132 211 62 53 208
-133 58 91 49 153
-134 59 93 9 54
-135 50 7 53 152
-136 187 62 8 65
-137 70 93 61 9
-138 66 189 92 71
-139 187 78 83 8
-140 77 7 74 152
-141 188 82 73 151
-142 233 91 153 230
-143 189 234 92 239
-144 188 238 151 229
-145 47 106 217 97
-146 48 105 108 174
-147 99 104 173 219
-148 124 28 172 31
-149 33 36 48 174
-150 35 46 126 30
-151 144 124 172 141
-152 135 140 173 219
-153 133 125 218 142
-154 165 47 168 217
-155 46 167 126 162
-156 125 160 163 218
-157 191 62 10 65
-158 67 192 215 64
-159 12 68 214 63
-160 231 156 236 216
-161 192 215 237 240
-162 155 190 238 229
-163 56 156 51 216
-164 55 12 214 52
-165 11 154 50 53
-166 110 113 191 10
-167 155 112 190 115
-168 11 154 111 116
-169 233 70 182 185
-170 187 232 118 184
-171 188 72 183 120
-172 60 148 151 119
-173 232 147 118 152
-174 146 234 59 149
-175 3 60 8 119
-176 4 72 7 120
-177 2 58 5 71
-178 233 212 70 207
-179 209 234 59 206
-180 211 58 71 208
-181 121 198 203 41
-182 199 169 40 196
-183 123 201 171 204
-184 100 103 16 170
-185 169 105 40 108
-186 102 18 107 42
-187 136 16 170 139
-188 144 123 171 141
-189 143 122 17 138
-190 121 167 41 162
-191 166 157 18 42
-192 122 158 17 161
-193 88 57 213 60
-194 90 59 6 54
-195 55 212 4 52
-196 110 113 5 182
-197 90 6 118 109
-198 89 114 181 119
-199 78 5 83 182
-200 79 212 4 76
-201 211 81 84 183
-202 88 232 213 235
-203 89 234 181 239
-204 211 237 183 240
-205 23 101 226 98
-206 100 24 179 103
-207 99 178 104 228
-208 132 180 28 31
-209 24 179 27 32
-210 22 26 29 131
-211 132 201 180 204
-212 178 200 195 228
-213 202 193 227 130
-214 23 159 226 164
-215 22 158 161 131
-216 160 227 130 163
-217 154 145 83 239
-218 156 114 84 153
-219 113 147 152 240
-220 112 4 7 64
-221 12 114 84 9
-222 11 66 82 6
-223 88 112 91 64
-224 113 93 96 240
-225 90 95 238 65
-226 214 83 205 239
-227 66 213 82 216
-228 212 238 207 65
-229 144 24 162 21
-230 23 18 30 142
-231 16 28 160 19
-232 202 170 29 173
-233 178 169 30 142
-234 143 179 203 174
-235 47 202 29 42
-236 28 160 40 43
-237 45 48 204 161
-238 144 225 162 228
-239 143 203 226 217
-240 224 204 161 219
0