Graph forms
for C4 [ 243, 20 ] = UG(ATD[243,34])
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 243, 20 ] =
UG(ATD[243,34]).
(I) Following is a form readable by MAGMA:
g:=Graph<243|{ {28, 31}, {128, 131}, {112, 115}, {40, 43}, {1, 4}, {139, 142},
{51, 54}, {91, 94}, {1, 7}, {90, 93}, {106, 109}, {4, 13}, {55, 61}, {135, 141},
{116, 126}, {1, 10}, {198, 205}, {209, 221}, {49, 60}, {224, 237}, {225, 239},
{70, 73}, {135, 151}, {1, 16}, {76, 93}, {4, 22}, {226, 240}, {197, 215}, {64,
82}, {13, 31}, {10, 24}, {110, 124}, {7, 19}, {12, 25}, {230, 243}, {96, 117},
{103, 114}, {104, 125}, {10, 28}, {140, 154}, {34, 52}, {96, 118}, {75, 92},
{231, 240}, {228, 243}, {79, 88}, {97, 121}, {234, 242}, {161, 185}, {143, 150},
{134, 157}, {137, 146}, {107, 119}, {111, 114}, {7, 25}, {203, 213}, {195, 221},
{40, 54}, {36, 58}, {28, 60}, {153, 185}, {81, 113}, {16, 49}, {146, 179}, {22,
55}, {7, 37}, {146, 176}, {65, 99}, {31, 61}, {13, 46}, {142, 173}, {25, 58},
{200, 236}, {131, 166}, {133, 160}, {4, 34}, {204, 234}, {22, 48}, {19, 52},
{159, 184}, {154, 189}, {144, 183}, {71, 96}, {66, 101}, {30, 55}, {206, 231},
{128, 170}, {75, 103}, {128, 173}, {157, 176}, {84, 122}, {207, 225}, {202,
228}, {88, 118}, {27, 52}, {67, 108}, {18, 34}, {144, 160}, {92, 108}, {79,
126}, {143, 190}, {74, 120}, {149, 167}, {145, 163}, {137, 187}, {67, 112},
{140, 184}, {129, 180}, {77, 123}, {95, 105}, {6, 49}, {222, 233}, {219, 236},
{16, 39}, {13, 58}, {16, 40}, {201, 241}, {147, 171}, {72, 112}, {19, 43}, {68,
125}, {155, 162}, {71, 126}, {78, 119}, {73, 115}, {159, 165}, {78, 116}, {80,
107}, {210, 238}, {66, 127}, {153, 167}, {24, 88}, {165, 229}, {57, 121}, {43,
106}, {149, 212}, {61, 124}, {55, 118}, {36, 102}, {58, 121}, {171, 232}, {135,
196}, {142, 202}, {132, 193}, {156, 219}, {48, 120}, {158, 214}, {9, 64}, {10,
64}, {170, 224}, {139, 193}, {39, 109}, {30, 82}, {56, 117}, {138, 199}, {39,
105}, {63, 113}, {42, 100}, {27, 84}, {173, 226}, {152, 215}, {40, 103}, {19,
67}, {189, 237}, {31, 79}, {28, 76}, {138, 217}, {157, 206}, {32, 116}, {183,
227}, {132, 208}, {49, 100}, {3, 85}, {176, 230}, {137, 223}, {24, 78}, {15,
88}, {33, 121}, {39, 127}, {152, 194}, {179, 233}, {155, 192}, {15, 82}, {129,
220}, {141, 211}, {134, 217}, {37, 69}, {186, 218}, {162, 194}, {146, 242}, {51,
83}, {164, 197}, {3, 97}, {182, 212}, {179, 209}, {170, 200}, {57, 91}, {43,
73}, {37, 70}, {61, 94}, {188, 216}, {50, 87}, {167, 192}, {182, 209}, {177,
217}, {191, 215}, {166, 204}, {131, 232}, {191, 212}, {180, 223}, {175, 196},
{42, 70}, {164, 200}, {128, 239}, {174, 193}, {34, 82}, {37, 85}, {21, 100},
{36, 85}, {44, 95}, {63, 76}, {62, 74}, {187, 207}, {182, 194}, {46, 91}, {178,
199}, {161, 212}, {150, 227}, {54, 64}, {168, 222}, {12, 123}, {22, 97}, {21,
109}, {177, 201}, {147, 235}, {169, 208}, {27, 97}, {149, 233}, {185, 197},
{174, 210}, {2, 127}, {42, 87}, {30, 99}, {25, 100}, {60, 66}, {164, 218}, {46,
81}, {172, 211}, {38, 167}, {41, 168}, {29, 159}, {32, 163}, {62, 189}, {54,
181}, {45, 174}, {78, 205}, {12, 136}, {18, 150}, {92, 217}, {99, 235}, {102,
238}, {24, 145}, {95, 214}, {47, 165}, {59, 177}, {9, 130}, {80, 219}, {87,
220}, {98, 238}, {71, 202}, {6, 136}, {44, 162}, {14, 158}, {65, 209}, {33,
177}, {18, 130}, {2, 145}, {75, 216}, {21, 129}, {47, 185}, {80, 198}, {101,
242}, {44, 181}, {74, 211}, {32, 186}, {122, 224}, {68, 222}, {77, 215}, {20,
143}, {71, 220}, {53, 174}, {26, 129}, {15, 147}, {86, 202}, {66, 223}, {83,
205}, {123, 229}, {48, 175}, {60, 163}, {11, 171}, {63, 159}, {52, 148}, {29,
189}, {45, 140}, {77, 236}, {9, 171}, {65, 227}, {51, 145}, {105, 203}, {6,
165}, {8, 172}, {114, 214}, {56, 156}, {33, 133}, {17, 180}, {125, 216}, {84,
241}, {46, 136}, {62, 153}, {65, 230}, {86, 241}, {107, 195}, {5, 175}, {23,
188}, {5, 169}, {98, 206}, {119, 218}, {101, 203}, {35, 147}, {113, 193}, {6,
180}, {89, 235}, {110, 220}, {57, 138}, {117, 198}, {47, 155}, {48, 133}, {96,
213}, {104, 221}, {41, 144}, {45, 148}, {8, 178}, {18, 169}, {83, 239}, {126,
195}, {9, 183}, {12, 178}, {107, 213}, {122, 197}, {21, 213}, {35, 227}, {41,
232}, {67, 130}, {85, 148}, {29, 223}, {47, 237}, {89, 154}, {95, 156}, {110,
173}, {20, 208}, {120, 188}, {53, 241}, {35, 231}, {76, 136}, {79, 139}, {11,
205}, {122, 188}, {125, 186}, {80, 152}, {119, 191}, {115, 187}, {112, 184},
{14, 199}, {69, 140}, {59, 242}, {15, 198}, {3, 201}, {127, 181}, {116, 190},
{35, 233}, {99, 169}, {102, 172}, {27, 208}, {41, 226}, {17, 221}, {72, 132},
{38, 234}, {23, 218}, {81, 158}, {111, 160}, {50, 226}, {94, 142}, {3, 210},
{70, 151}, {98, 179}, {86, 132}, {56, 235}, {73, 154}, {90, 137}, {101, 182},
{124, 168}, {14, 219}, {59, 238}, {8, 222}, {77, 155}, {93, 139}, {108, 186},
{20, 195}, {113, 166}, {50, 229}, {104, 191}, {120, 161}, {17, 203}, {53, 239},
{30, 196}, {111, 181}, {51, 232}, {75, 144}, {69, 153}, {72, 148}, {23, 201},
{89, 135}, {44, 204}, {17, 243}, {117, 151}, {74, 168}, {90, 184}, {2, 225},
{36, 199}, {93, 190}, {108, 143}, {110, 141}, {38, 194}, {68, 161}, {123, 158},
{87, 178}, {103, 130}, {11, 236}, {92, 187}, {2, 234}, {5, 237}, {98, 138}, {14,
231}, {69, 172}, {89, 176}, {106, 134}, {111, 131}, {45, 192}, {115, 157}, {32,
207}, {57, 214}, {20, 228}, {105, 152}, {68, 183}, {81, 162}, {102, 149}, {38,
210}, {114, 134}, {59, 207}, {5, 243}, {56, 206}, {23, 225}, {72, 190}, {106,
156}, {83, 164}, {8, 240}, {94, 166}, {33, 216}, {124, 133}, {53, 204}, {42,
211}, {90, 163}, {26, 224}, {62, 196}, {50, 200}, {109, 151}, {11, 240}, {118,
141}, {29, 230}, {84, 175}, {91, 160}, {86, 170}, {26, 228}, {104, 150}, {26,
229}, {63, 192} }>;
(II) A more general form is to represent the graph as the orbit of {28, 31}
under the group generated by the following permutations:
a: (4, 7)(5, 8)(6, 9)(10, 16)(11, 17)(12, 18)(13, 19)(14, 20)(15, 21)(22,
37)(23, 38)(24, 39)(25, 34)(26, 35)(27, 36)(28, 40)(29, 41)(30, 42)(31, 43)(32,
44)(33, 45)(46, 67)(47, 68)(48, 69)(49, 64)(50, 65)(51, 66)(52, 58)(53, 59)(54,
60)(55, 70)(56, 71)(57, 72)(61, 73)(62, 74)(63, 75)(76, 103)(77, 104)(78,
105)(79, 106)(80, 107)(81, 108)(82, 100)(83, 101)(84, 102)(85, 97)(86, 98)(87,
99)(88, 109)(89, 110)(90, 111)(91, 112)(92, 113)(93, 114)(94, 115)(95, 116)(96,
117)(118, 151)(119, 152)(120, 153)(121, 148)(122, 149)(123, 150)(124, 154)(125,
155)(126, 156)(127, 145)(128, 146)(129, 147)(130, 136)(131, 137)(132, 138)(133,
140)(134, 139)(135, 141)(142, 157)(143, 158)(144, 159)(160, 184)(161, 185)(162,
186)(163, 181)(164, 182)(165, 183)(166, 187)(167, 188)(168, 189)(169, 178)(170,
179)(171, 180)(172, 175)(173, 176)(174, 177)(190, 214)(191, 215)(192, 216)(193,
217)(194, 218)(195, 219)(196, 211)(197, 212)(198, 213)(199, 208)(200, 209)(201,
210)(202, 206)(203, 205)(204, 207)(220, 235)(221, 236)(222, 237)(223, 232)(224,
233)(225, 234)(226, 230)(227, 229)(228, 231)(238, 241)(239, 242)(240, 243) (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, 4, 13, 31, 61, 94, 142, 173, 128, 170, 200, 164, 197, 215, 191, 212, 182,
209, 179, 146, 176, 157, 115, 73, 43, 19, 7)(2, 5, 14, 32, 62, 95, 143, 172,
127, 169, 199, 163, 196, 214, 190, 211, 181, 208, 178, 145, 175, 158, 116, 74,
44, 20, 8)(3, 6, 15, 33, 63, 96, 144, 174, 129, 171, 201, 165, 198, 216, 192,
213, 183, 210, 180, 147, 177, 159, 117, 75, 45, 21, 9)(10, 22, 46, 79, 124, 166,
202, 226, 239, 224, 236, 218, 185, 152, 104, 149, 101, 65, 98, 137, 89, 134,
112, 70, 40, 52, 25)(11, 23, 47, 80, 125, 167, 203, 227, 238, 223, 235, 217,
184, 151, 103, 148, 100, 64, 97, 136, 88, 133, 113, 71, 41, 53, 26)(12, 24, 48,
81, 126, 168, 204, 228, 240, 225, 237, 219, 186, 153, 105, 150, 102, 66, 99,
138, 90, 135, 114, 72, 42, 54, 27)(16, 34, 58, 28, 55, 91, 139, 110, 131, 86,
50, 83, 122, 77, 119, 161, 194, 221, 233, 242, 230, 206, 187, 154, 106, 67,
37)(17, 35, 59, 29, 56, 92, 140, 109, 130, 85, 49, 82, 121, 76, 118, 160, 193,
220, 232, 241, 229, 205, 188, 155, 107, 68, 38)(18, 36, 60, 30, 57, 93, 141,
111, 132, 87, 51, 84, 123, 78, 120, 162, 195, 222, 234, 243, 231, 207, 189, 156,
108, 69, 39)
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)(32, 33)(34, 64)(35, 65)(36,
66)(37, 39)(44, 45)(46, 76)(47, 77)(48, 78)(52, 54)(55, 88)(56, 89)(57, 90)(58,
60)(61, 79)(62, 80)(63, 81)(67, 103)(68, 104)(69, 105)(70, 109)(71, 110)(72,
111)(73, 106)(74, 107)(75, 108)(83, 84)(85, 127)(86, 128)(87, 129)(91, 93)(94,
139)(95, 140)(96, 141)(97, 145)(98, 146)(99, 147)(101, 102)(112, 114)(115,
134)(116, 133)(117, 135)(119, 120)(121, 163)(122, 164)(123, 165)(124, 126)(131,
132)(137, 138)(143, 144)(148, 181)(149, 182)(150, 183)(152, 153)(154, 156)(158,
159)(160, 190)(161, 191)(162, 192)(166, 193)(167, 194)(168, 195)(169, 171)(172,
203)(173, 202)(174, 204)(175, 205)(176, 206)(177, 207)(178, 180)(184, 214)(185,
215)(186, 216)(187, 217)(188, 218)(189, 219)(196, 198)(199, 223)(200, 224)(201,
225)(208, 232)(209, 233)(210, 234)(211, 213)(221, 222)(226, 228)(230, 231)(236,
237)(238, 242)(239, 241)(240, 243)
d: (1, 2, 3)(4, 127, 201, 7, 145, 210)(5, 129, 200, 8, 147, 209)(6, 128, 199, 9,
146, 208)(10, 234, 97, 16, 225, 85)(11, 233, 99, 17, 224, 87)(12, 232, 98, 18,
223, 86)(13, 181, 177, 19, 163, 174)(14, 183, 176, 20, 165, 173)(15, 182, 175,
21, 164, 172)(22, 39, 23, 37, 24, 38)(25, 51, 238, 34, 66, 241)(26, 50, 240, 35,
65, 243)(27, 49, 239, 36, 64, 242)(28, 204, 121, 40, 207, 148)(29, 202, 123, 41,
206, 150)(30, 203, 122, 42, 205, 149)(31, 44, 33, 43, 32, 45)(46, 111, 217, 67,
90, 193)(47, 110, 219, 68, 89, 195)(48, 109, 218, 69, 88, 194)(52, 60, 53, 58,
54, 59)(55, 105, 188, 70, 78, 167)(56, 104, 189, 71, 77, 168)(57, 103, 187, 72,
76, 166)(61, 95, 216, 73, 116, 192)(62, 96, 215, 74, 117, 191)(63, 94, 214, 75,
115, 190)(79, 162, 133, 106, 186, 140)(80, 161, 135, 107, 185, 141)(81, 160,
134, 108, 184, 139)(82, 101, 84, 100, 83, 102)(91, 114, 92, 112, 93, 113)(118,
152, 120, 151, 119, 153)(124, 156, 125, 154, 126, 155)(130, 137, 132, 136, 131,
138)(142, 158, 144, 157, 143, 159)(169, 180, 170, 178, 171, 179)(196, 213, 197,
211, 198, 212)(220, 236, 222, 235, 221, 237)(226, 231, 227, 230, 228, 229)
C4[ 243, 20 ]
243
-1 4 16 7 10
-2 145 234 225 127
-3 210 201 85 97
-4 22 1 34 13
-5 243 169 237 175
-6 165 136 180 49
-7 1 25 37 19
-8 178 222 172 240
-9 171 183 64 130
-10 1 24 28 64
-11 236 171 205 240
-12 123 178 25 136
-13 46 58 4 31
-14 231 199 158 219
-15 88 198 147 82
-16 1 49 39 40
-17 221 243 180 203
-18 34 169 150 130
-19 67 7 52 43
-20 143 195 228 208
-21 100 213 129 109
-22 55 4 48 97
-23 188 201 225 218
-24 88 78 145 10
-25 12 100 58 7
-26 224 129 228 229
-27 84 52 97 208
-28 60 31 10 76
-29 189 223 159 230
-30 55 99 82 196
-31 13 79 28 61
-32 116 163 207 186
-33 121 133 177 216
-34 4 82 18 52
-35 231 233 147 227
-36 199 58 102 85
-37 69 70 7 85
-38 210 167 234 194
-39 16 105 127 109
-40 103 16 43 54
-41 144 232 168 226
-42 100 211 70 87
-43 40 73 106 19
-44 181 204 95 162
-45 148 192 140 174
-46 13 91 81 136
-47 165 155 237 185
-48 22 133 120 175
-49 100 16 60 6
-50 200 226 229 87
-51 232 145 83 54
-52 34 27 148 19
-53 204 239 174 241
-54 181 40 51 64
-55 22 61 30 118
-56 156 235 117 206
-57 121 91 214 138
-58 121 13 25 36
-59 242 177 238 207
-60 66 49 28 163
-61 55 124 94 31
-62 189 74 196 153
-63 113 159 192 76
-64 82 9 10 54
-65 99 209 227 230
-66 101 223 60 127
-67 112 19 108 130
-68 222 125 161 183
-69 37 172 140 153
-70 37 73 151 42
-71 220 202 126 96
-72 132 112 190 148
-73 154 70 115 43
-74 211 168 62 120
-75 144 92 103 216
-76 136 93 28 63
-77 155 123 236 215
-78 24 116 205 119
-79 88 126 139 31
-80 198 107 152 219
-81 46 113 158 162
-82 34 15 30 64
-83 51 205 239 164
-84 122 27 175 241
-85 3 36 37 148
-86 132 202 170 241
-87 220 178 50 42
-88 24 79 15 118
-89 154 176 135 235
-90 93 137 184 163
-91 46 57 94 160
-92 187 217 75 108
-93 90 190 139 76
-94 166 91 61 142
-95 44 156 214 105
-96 213 71 117 118
-97 22 121 3 27
-98 179 138 238 206
-99 169 235 30 65
-100 25 49 42 21
-101 66 242 203 182
-102 36 149 172 238
-103 114 40 75 130
-104 221 125 191 150
-105 203 39 95 152
-106 134 156 43 109
-107 80 213 195 119
-108 143 67 92 186
-109 39 106 151 21
-110 220 124 173 141
-111 114 181 160 131
-112 67 115 72 184
-113 166 81 193 63
-114 111 134 103 214
-115 187 112 157 73
-116 78 190 126 32
-117 198 56 96 151
-118 55 88 96 141
-119 78 191 107 218
-120 188 48 161 74
-121 33 57 58 97
-122 188 224 84 197
-123 77 12 158 229
-124 110 133 168 61
-125 68 104 216 186
-126 79 71 116 195
-127 66 2 181 39
-128 170 173 239 131
-129 220 26 180 21
-130 67 103 18 9
-131 111 166 232 128
-132 72 193 86 208
-133 33 124 48 160
-134 157 114 106 217
-135 89 151 141 196
-136 12 46 6 76
-137 187 90 146 223
-138 199 57 217 98
-139 79 93 193 142
-140 154 45 69 184
-141 110 211 135 118
-142 202 94 139 173
-143 190 150 20 108
-144 160 183 41 75
-145 2 24 51 163
-146 176 242 179 137
-147 35 15 235 171
-148 45 72 52 85
-149 167 233 102 212
-150 143 104 18 227
-151 135 70 117 109
-152 80 105 215 194
-153 167 69 62 185
-154 89 189 73 140
-155 77 47 192 162
-156 56 95 106 219
-157 176 134 115 206
-158 123 14 81 214
-159 165 29 63 184
-160 111 133 144 91
-161 68 212 185 120
-162 44 155 81 194
-163 90 145 60 32
-164 200 83 218 197
-165 47 159 6 229
-166 113 94 204 131
-167 38 192 149 153
-168 222 124 41 74
-169 99 5 18 208
-170 200 224 128 86
-171 11 232 147 9
-172 211 69 102 8
-173 110 226 128 142
-174 45 210 193 53
-175 48 5 84 196
-176 89 146 157 230
-177 33 201 59 217
-178 12 199 8 87
-179 209 233 146 98
-180 223 6 17 129
-181 44 111 127 54
-182 209 101 212 194
-183 144 68 227 9
-184 90 112 159 140
-185 47 161 153 197
-186 125 108 218 32
-187 92 115 137 207
-188 23 122 216 120
-189 154 237 29 62
-190 143 93 72 116
-191 212 104 215 119
-192 45 155 167 63
-193 132 113 139 174
-194 38 182 162 152
-195 221 126 107 20
-196 135 62 30 175
-197 122 215 185 164
-198 80 15 117 205
-199 178 14 36 138
-200 170 236 50 164
-201 23 177 3 241
-202 71 228 86 142
-203 101 213 17 105
-204 44 166 234 53
-205 11 198 78 83
-206 231 56 157 98
-207 187 59 225 32
-208 132 169 27 20
-209 221 179 182 65
-210 3 38 238 174
-211 172 74 42 141
-212 191 149 182 161
-213 203 96 107 21
-214 57 114 158 95
-215 77 191 152 197
-216 33 188 125 75
-217 177 134 92 138
-218 23 119 164 186
-219 156 14 80 236
-220 110 71 129 87
-221 209 104 17 195
-222 68 233 168 8
-223 66 180 137 29
-224 122 26 170 237
-225 23 2 239 207
-226 50 41 173 240
-227 35 150 183 65
-228 243 26 202 20
-229 165 123 26 50
-230 176 243 29 65
-231 35 14 206 240
-232 171 51 41 131
-233 35 222 179 149
-234 242 2 38 204
-235 99 56 89 147
-236 11 77 200 219
-237 189 47 224 5
-238 210 102 59 98
-239 225 83 128 53
-240 11 231 226 8
-241 201 84 53 86
-242 101 146 234 59
-243 5 17 228 230
0