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