Graph forms
for C4 [ 250, 14 ] = UG(ATD[250,20])
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On this page are computer-accessible forms for the graph C4[ 250, 14 ] =
UG(ATD[250,20]).
(I) Following is a form readable by MAGMA:
g:=Graph<250|{ {186, 191}, {17, 25}, {48, 56}, {1, 11}, {180, 190}, {100, 110},
{199, 204}, {68, 72}, {163, 175}, {226, 239}, {130, 140}, {211, 221}, {145,
159}, {147, 157}, {19, 28}, {133, 148}, {205, 220}, {37, 55}, {133, 151}, {139,
153}, {105, 122}, {1, 21}, {102, 114}, {69, 80}, {200, 221}, {197, 208}, {72,
93}, {98, 119}, {99, 118}, {131, 149}, {6, 17}, {76, 91}, {108, 116}, {225,
249}, {203, 211}, {169, 177}, {194, 219}, {96, 122}, {66, 89}, {174, 181}, {42,
54}, {78, 82}, {74, 86}, {7, 26}, {238, 243}, {197, 216}, {39, 58}, {1, 31},
{234, 245}, {25, 57}, {214, 246}, {91, 123}, {81, 113}, {70, 103}, {194, 227},
{136, 169}, {11, 41}, {209, 243}, {130, 160}, {132, 166}, {145, 179}, {148,
182}, {201, 234}, {207, 236}, {16, 52}, {150, 178}, {69, 98}, {137, 174}, {21,
61}, {90, 115}, {223, 246}, {201, 224}, {5, 47}, {87, 125}, {19, 56}, {27, 55},
{217, 244}, {13, 35}, {15, 33}, {10, 37}, {30, 47}, {1, 51}, {222, 236}, {22,
36}, {142, 188}, {85, 102}, {210, 230}, {217, 237}, {25, 44}, {144, 165}, {152,
173}, {68, 114}, {129, 183}, {130, 180}, {134, 176}, {138, 188}, {156, 171},
{206, 249}, {195, 244}, {8, 49}, {79, 118}, {3, 56}, {94, 101}, {134, 189}, {26,
39}, {215, 234}, {90, 103}, {65, 127}, {77, 115}, {67, 125}, {150, 168}, {16,
47}, {217, 230}, {200, 247}, {186, 250}, {181, 244}, {149, 214}, {21, 81}, {31,
91}, {24, 92}, {137, 205}, {36, 97}, {49, 116}, {46, 107}, {7, 65}, {178, 245},
{62, 118}, {135, 207}, {137, 193}, {6, 79}, {185, 240}, {30, 87}, {42, 96},
{167, 237}, {50, 121}, {11, 71}, {41, 101}, {32, 108}, {139, 199}, {9, 68}, {34,
111}, {2, 76}, {155, 213}, {38, 104}, {14, 65}, {164, 235}, {147, 195}, {36,
117}, {154, 203}, {133, 215}, {135, 213}, {62, 109}, {176, 227}, {164, 247},
{149, 198}, {190, 234}, {129, 212}, {3, 85}, {179, 229}, {156, 202}, {5, 83},
{17, 70}, {175, 248}, {44, 123}, {143, 216}, {151, 192}, {20, 77}, {35, 122},
{27, 66}, {156, 198}, {179, 232}, {51, 110}, {173, 240}, {60, 97}, {53, 104},
{46, 112}, {128, 222}, {131, 221}, {170, 245}, {43, 75}, {175, 207}, {141, 237},
{10, 107}, {173, 204}, {63, 94}, {140, 237}, {48, 82}, {11, 111}, {45, 73}, {15,
107}, {131, 231}, {146, 247}, {162, 199}, {30, 120}, {188, 218}, {51, 84}, {9,
97}, {62, 86}, {37, 77}, {23, 126}, {55, 94}, {35, 74}, {167, 205}, {8, 99},
{137, 226}, {152, 243}, {18, 126}, {189, 209}, {21, 121}, {5, 104}, {141, 227},
{170, 196}, {143, 225}, {57, 86}, {185, 214}, {175, 192}, {158, 241}, {5, 117},
{12, 124}, {37, 87}, {46, 92}, {51, 64}, {129, 242}, {7, 115}, {58, 78}, {44,
88}, {186, 207}, {9, 126}, {182, 193}, {158, 233}, {34, 85}, {24, 111}, {26,
98}, {159, 231}, {13, 116}, {169, 208}, {150, 239}, {60, 70}, {160, 219}, {6,
122}, {180, 200}, {168, 212}, {164, 216}, {141, 241}, {18, 109}, {52, 75}, {67,
195}, {96, 224}, {43, 170}, {64, 193}, {93, 220}, {17, 147}, {90, 216}, {80,
210}, {120, 250}, {4, 135}, {28, 152}, {62, 186}, {52, 176}, {38, 162}, {34,
166}, {112, 245}, {22, 145}, {84, 211}, {63, 184}, {60, 187}, {28, 148}, {88,
208}, {108, 228}, {54, 191}, {127, 246}, {71, 205}, {7, 140}, {48, 189}, {52,
185}, {109, 224}, {125, 240}, {97, 239}, {16, 159}, {42, 165}, {12, 156}, {92,
204}, {83, 194}, {31, 141}, {105, 250}, {53, 161}, {35, 182}, {4, 146}, {45,
187}, {29, 138}, {71, 223}, {124, 228}, {119, 238}, {78, 213}, {27, 135}, {79,
211}, {61, 161}, {123, 231}, {55, 170}, {53, 171}, {108, 242}, {117, 235}, {10,
149}, {89, 198}, {85, 202}, {40, 183}, {15, 144}, {31, 191}, {96, 192}, {18,
179}, {69, 228}, {19, 177}, {67, 225}, {59, 153}, {58, 152}, {40, 139}, {43,
142}, {120, 221}, {14, 168}, {38, 128}, {43, 140}, {99, 196}, {4, 172}, {80,
248}, {65, 233}, {113, 217}, {30, 183}, {32, 138}, {22, 189}, {126, 213}, {73,
229}, {119, 219}, {114, 223}, {101, 203}, {20, 187}, {50, 157}, {29, 178}, {18,
162}, {88, 232}, {14, 191}, {112, 193}, {113, 192}, {23, 165}, {75, 249}, {64,
242}, {6, 178}, {49, 132}, {105, 220}, {82, 228}, {95, 233}, {100, 210}, {103,
209}, {15, 184}, {68, 243}, {99, 212}, {84, 236}, {110, 214}, {124, 196}, {23,
174}, {25, 163}, {40, 147}, {41, 146}, {54, 138}, {29, 160}, {94, 227}, {127,
194}, {32, 158}, {61, 131}, {58, 132}, {41, 151}, {36, 154}, {90, 229}, {3,
195}, {91, 155}, {53, 244}, {73, 136}, {24, 218}, {33, 226}, {59, 248}, {40,
236}, {82, 150}, {42, 238}, {14, 203}, {34, 231}, {8, 206}, {106, 172}, {39,
224}, {110, 169}, {28, 212}, {73, 129}, {72, 128}, {50, 250}, {79, 134}, {113,
184}, {120, 177}, {67, 136}, {81, 154}, {9, 197}, {93, 145}, {19, 222}, {2,
204}, {102, 168}, {123, 181}, {20, 219}, {26, 202}, {77, 157}, {39, 247}, {95,
143}, {100, 180}, {101, 181}, {124, 172}, {56, 233}, {75, 154}, {69, 148}, {106,
187}, {111, 190}, {66, 144}, {29, 206}, {59, 232}, {54, 229}, {63, 235}, {2,
215}, {16, 197}, {119, 162}, {12, 218}, {102, 176}, {116, 163}, {74, 146}, {89,
128}, {127, 166}, {57, 226}, {66, 153}, {98, 185}, {45, 241}, {76, 144}, {20,
201}, {83, 142}, {50, 239}, {115, 174}, {121, 164}, {3, 220}, {64, 159}, {38,
249}, {8, 232}, {22, 246}, {59, 218}, {70, 167}, {109, 142}, {33, 196}, {106,
143}, {23, 241}, {12, 235}, {89, 190}, {45, 202}, {95, 183}, {118, 158}, {107,
130}, {4, 238}, {125, 151}, {13, 230}, {74, 161}, {112, 155}, {71, 171}, {104,
133}, {57, 215}, {88, 182}, {106, 132}, {2, 242}, {87, 167}, {46, 222}, {33,
209}, {32, 208}, {105, 153}, {63, 206}, {84, 165}, {10, 248}, {44, 223}, {60,
200}, {72, 188}, {61, 201}, {95, 171}, {78, 184}, {86, 160}, {80, 166}, {48,
199}, {49, 198}, {24, 225}, {100, 157}, {114, 139}, {103, 155}, {13, 240}, {92,
161}, {81, 172}, {76, 177}, {47, 210}, {27, 230}, {117, 136}, {83, 173}, {93,
163}, {121, 134} }>;
(II) A more general form is to represent the graph as the orbit of {186, 191}
under the group generated by the following permutations:
a: (1, 2, 61, 64, 234, 231, 112, 111, 91, 92)(3, 135, 67, 186, 240, 50, 116, 77,
93, 55)(4, 136, 62, 185, 239, 49, 115, 72, 94, 56)(5, 79, 69, 60, 232, 140, 114,
184, 95, 42)(6, 80, 70, 59, 237, 139, 113, 183, 96, 47)(7, 68, 63, 233, 238,
117, 118, 98, 97, 8)(9, 206, 65, 243, 235, 158, 119, 36, 99, 26)(10, 205, 66,
244, 236, 151, 120, 35, 100, 25)(11, 76, 161, 51, 215, 131, 193, 190, 123,
46)(12, 241, 162, 154, 212, 39, 197, 29, 127, 209)(13, 157, 163, 37, 220, 27,
195, 207, 125, 250)(14, 152, 164, 32, 219, 22, 196, 202, 126, 249)(15, 171, 165,
104, 211, 148, 200, 88, 130, 223)(16, 178, 166, 103, 218, 141, 199, 81, 129,
224)(17, 248, 167, 153, 217, 40, 192, 30, 122, 210)(18, 75, 168, 58, 216, 138,
194, 189, 124, 45)(19, 146, 169, 86, 214, 226, 198, 174, 128, 101)(20, 145, 170,
85, 213, 225, 191, 173, 121, 108)(21, 242, 201, 159, 245, 34, 155, 24, 31,
204)(23, 38, 203, 28, 247, 208, 160, 246, 33, 156)(41, 177, 74, 110, 57, 149,
137, 89, 181, 222)(43, 102, 78, 143, 54, 83, 134, 228, 187, 179)(44, 107, 71,
144, 53, 84, 133, 221, 182, 180)(48, 172, 73, 109, 52, 150, 132, 90, 188,
227)(82, 106, 229, 142, 176)(87, 105, 230, 147, 175) (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, 4)(3, 7)(5, 9)(6, 10)(11, 31)(12, 32)(13, 33)(14, 34)(15, 35)(16, 36)(17,
37)(18, 38)(19, 39)(20, 40)(21, 51)(22, 52)(23, 53)(24, 54)(25, 55)(26, 56)(27,
57)(28, 58)(29, 59)(30, 60)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47,
97)(48, 98)(49, 99)(50, 100)(61, 84)(62, 89)(63, 88)(64, 81)(65, 85)(66, 86)(67,
90)(68, 83)(69, 82)(70, 87)(71, 141)(72, 142)(73, 143)(74, 144)(75, 145)(76,
146)(77, 147)(78, 148)(79, 149)(80, 150)(101, 123)(102, 127)(103, 125)(104,
126)(105, 130)(106, 129)(107, 122)(108, 124)(109, 128)(110, 121)(111, 191)(112,
192)(113, 193)(114, 194)(115, 195)(116, 196)(117, 197)(118, 198)(119, 199)(120,
200)(131, 211)(132, 212)(133, 213)(134, 214)(135, 215)(136, 216)(137, 217)(138,
218)(139, 219)(140, 220)(151, 155)(153, 160)(154, 159)(156, 158)(161, 165)(163,
170)(164, 169)(166, 168)(171, 241)(172, 242)(173, 243)(174, 244)(175, 245)(176,
246)(177, 247)(178, 248)(179, 249)(180, 250)(182, 184)(183, 187)(185, 189)(186,
190)(201, 236)(202, 233)(203, 231)(204, 238)(205, 237)(206, 232)(207, 234)(208,
235)(209, 240)(210, 239)(222, 224)(223, 227)(225, 229)(226, 230)
c: (2, 42)(3, 97)(4, 92)(5, 26)(6, 25)(7, 47)(9, 56)(10, 55)(11, 21)(13,
160)(14, 159)(15, 66)(16, 65)(18, 28)(19, 126)(20, 125)(22, 102)(23, 177)(24,
172)(27, 107)(29, 116)(30, 115)(31, 51)(33, 153)(34, 154)(35, 86)(36, 85)(38,
58)(39, 104)(40, 103)(41, 61)(43, 80)(44, 79)(45, 136)(46, 135)(48, 68)(49,
206)(50, 205)(52, 127)(53, 247)(54, 242)(57, 122)(59, 196)(60, 195)(62, 182)(63,
198)(64, 191)(67, 187)(69, 142)(70, 147)(71, 121)(72, 82)(75, 166)(76, 165)(77,
87)(78, 128)(81, 111)(83, 98)(84, 91)(88, 118)(89, 184)(90, 183)(93, 150)(94,
149)(95, 216)(96, 215)(99, 232)(100, 237)(101, 131)(105, 226)(106, 225)(108,
138)(109, 148)(110, 141)(112, 207)(113, 190)(114, 189)(117, 202)(119, 173)(120,
174)(123, 211)(124, 218)(129, 229)(130, 230)(132, 249)(133, 224)(134, 223)(137,
250)(139, 209)(140, 210)(145, 168)(146, 161)(151, 201)(152, 162)(155, 236)(156,
235)(157, 167)(158, 208)(163, 178)(164, 171)(169, 241)(170, 248)(175, 245)(176,
246)(179, 212)(180, 217)(181, 221)(185, 194)(186, 193)(188, 228)(192, 234)(197,
233)(199, 243)(200, 244)(203, 231)(204, 238)(213, 222)(214, 227)(219, 240)(220,
239)
d: (1, 3, 149, 143, 69, 63, 243, 245, 23, 25)(2, 237, 145, 161, 65, 59, 247,
212, 27, 97)(4, 150, 144, 70, 64, 244, 246, 24, 26, 8)(5, 83, 142, 109, 62, 186,
250, 120, 30, 47)(6, 84, 147, 110, 67, 185, 249, 119, 29, 42)(7, 232, 146, 168,
66, 60, 242, 217, 22, 92)(9, 215, 141, 93, 61, 233, 248, 164, 28, 55)(10, 216,
148, 94, 68, 234, 241, 163, 21, 56)(11, 85, 198, 106, 228, 184, 209, 112, 174,
44)(12, 58, 196, 213, 226, 91, 205, 231, 171, 166)(13, 154, 199, 130, 229, 35,
203, 139, 180, 73)(14, 153, 200, 129, 230, 36, 204, 140, 179, 74)(15, 103, 193,
181, 223, 111, 202, 49, 172, 82)(16, 104, 194, 188, 224, 118, 207, 50, 177,
87)(17, 51, 195, 214, 225, 98, 206, 238, 178, 165)(18, 86, 191, 105, 221, 183,
210, 117, 173, 43)(19, 37, 197, 133, 227, 72, 201, 158, 175, 121)(20, 32, 192,
134, 222, 77, 208, 151, 176, 128)(31, 220, 131, 95, 80, 235, 152, 170, 126,
57)(33, 155, 137, 123, 71, 34, 156, 132, 124, 78)(38, 219, 138, 96, 79, 236,
157, 169, 125, 52)(39, 99, 135, 239, 76, 167, 159, 53, 127, 218)(40, 100, 136,
240, 75, 162, 160, 54, 122, 211)(41, 102, 89, 187, 108, 113, 189, 46, 115,
88)(45, 116, 81, 48, 107, 90, 182, 101, 114, 190)
C4[ 250, 14 ]
250
-1 11 51 31 21
-2 242 204 215 76
-3 220 56 85 195
-4 135 146 172 238
-5 47 104 83 117
-6 122 79 178 17
-7 26 115 140 65
-8 99 232 49 206
-9 68 126 97 197
-10 37 149 248 107
-11 1 111 71 41
-12 156 124 235 218
-13 35 116 240 230
-14 168 191 203 65
-15 33 144 107 184
-16 47 159 52 197
-17 25 70 147 6
-18 179 126 162 109
-19 56 177 222 28
-20 77 187 201 219
-21 121 1 81 61
-22 145 189 36 246
-23 165 126 174 241
-24 111 92 225 218
-25 44 57 17 163
-26 202 39 7 98
-27 55 66 135 230
-28 212 148 19 152
-29 178 138 160 206
-30 47 183 87 120
-31 1 91 191 141
-32 158 138 108 208
-33 209 15 226 196
-34 231 111 166 85
-35 122 13 182 74
-36 22 154 117 97
-37 55 77 10 87
-38 104 128 249 162
-39 58 26 224 247
-40 147 236 139 183
-41 11 101 146 151
-42 165 238 96 54
-43 170 140 75 142
-44 88 123 25 223
-45 187 202 73 241
-46 112 222 92 107
-47 210 5 16 30
-48 56 199 189 82
-49 132 198 116 8
-50 121 157 239 250
-51 110 1 84 64
-52 176 16 75 185
-53 244 104 171 161
-54 191 138 42 229
-55 37 27 170 94
-56 233 3 48 19
-57 25 215 226 86
-58 132 78 39 152
-59 232 248 218 153
-60 187 200 70 97
-61 201 161 21 131
-62 118 86 109 186
-63 235 94 184 206
-64 242 159 193 51
-65 233 14 127 7
-66 89 144 27 153
-67 125 136 225 195
-68 243 114 72 9
-69 80 148 228 98
-70 167 103 60 17
-71 11 223 171 205
-72 188 68 93 128
-73 45 136 129 229
-74 35 146 161 86
-75 154 249 52 43
-76 144 177 2 91
-77 157 37 115 20
-78 58 213 82 184
-79 134 211 6 118
-80 166 210 69 248
-81 154 113 172 21
-82 78 48 150 228
-83 5 194 173 142
-84 165 211 236 51
-85 34 3 102 202
-86 57 160 62 74
-87 167 37 125 30
-88 44 232 182 208
-89 66 198 190 128
-90 103 115 216 229
-91 155 123 31 76
-92 24 46 204 161
-93 220 145 72 163
-94 55 101 227 63
-95 143 233 171 183
-96 122 224 192 42
-97 36 60 239 9
-98 69 26 119 185
-99 212 8 118 196
-100 110 210 157 180
-101 181 203 94 41
-102 176 168 114 85
-103 209 155 90 70
-104 133 5 38 53
-105 220 122 250 153
-106 132 143 187 172
-107 46 15 130 10
-108 242 116 228 32
-109 224 18 62 142
-110 100 169 214 51
-111 11 34 24 190
-112 155 46 245 193
-113 81 192 184 217
-114 68 102 223 139
-115 77 90 7 174
-116 13 49 108 163
-117 36 136 235 5
-118 99 79 158 62
-119 238 162 98 219
-120 177 221 30 250
-121 134 50 21 164
-122 35 6 105 96
-123 44 231 91 181
-124 12 172 228 196
-125 67 151 240 87
-126 23 213 18 9
-127 166 246 194 65
-128 89 222 38 72
-129 242 212 73 183
-130 180 160 107 140
-131 231 221 61 149
-132 166 58 49 106
-133 104 148 215 151
-134 121 176 79 189
-135 4 213 27 207
-136 67 169 73 117
-137 193 226 205 174
-138 188 29 32 54
-139 199 114 40 153
-140 237 7 130 43
-141 237 227 31 241
-142 188 83 43 109
-143 225 95 106 216
-144 66 165 15 76
-145 22 179 93 159
-146 4 247 41 74
-147 157 17 40 195
-148 133 69 28 182
-149 198 214 10 131
-150 178 168 82 239
-151 133 125 192 41
-152 243 58 28 173
-153 66 59 105 139
-154 36 81 203 75
-155 112 91 103 213
-156 198 12 202 171
-157 77 100 147 50
-158 233 118 32 241
-159 231 145 16 64
-160 29 86 130 219
-161 92 61 74 53
-162 199 38 18 119
-163 25 93 116 175
-164 121 235 247 216
-165 23 144 84 42
-166 132 34 80 127
-167 70 237 205 87
-168 14 102 212 150
-169 110 177 136 208
-170 55 245 196 43
-171 156 71 95 53
-172 124 4 81 106
-173 83 204 152 240
-174 23 115 137 181
-175 192 248 163 207
-176 134 102 227 52
-177 169 19 76 120
-178 245 6 29 150
-179 232 145 18 229
-180 100 200 190 130
-181 101 123 244 174
-182 88 35 148 193
-183 40 95 30 129
-184 78 113 15 63
-185 214 52 240 98
-186 191 62 250 207
-187 45 60 106 20
-188 72 138 218 142
-189 22 209 134 48
-190 89 111 234 180
-191 14 31 54 186
-192 113 96 151 175
-193 112 137 182 64
-194 83 127 227 219
-195 67 244 3 147
-196 33 99 124 170
-197 16 216 9 208
-198 89 156 49 149
-199 48 204 139 162
-200 221 180 60 247
-201 234 224 61 20
-202 45 156 26 85
-203 154 101 211 14
-204 199 2 92 173
-205 220 167 71 137
-206 29 249 8 63
-207 135 236 175 186
-208 88 169 32 197
-209 33 243 189 103
-210 100 47 80 230
-211 221 79 203 84
-212 99 168 28 129
-213 78 155 135 126
-214 110 246 149 185
-215 133 2 57 234
-216 143 90 164 197
-217 244 113 237 230
-218 12 188 24 59
-219 160 194 20 119
-220 3 93 105 205
-221 200 211 120 131
-222 46 236 128 19
-223 44 114 246 71
-224 201 39 96 109
-225 143 67 24 249
-226 33 57 137 239
-227 176 94 194 141
-228 69 124 82 108
-229 90 179 73 54
-230 210 13 27 217
-231 34 123 159 131
-232 88 179 59 8
-233 56 158 95 65
-234 190 201 245 215
-235 12 117 63 164
-236 222 40 84 207
-237 167 140 217 141
-238 243 4 42 119
-239 50 226 150 97
-240 13 125 173 185
-241 23 45 158 141
-242 2 129 64 108
-243 209 68 238 152
-244 181 195 217 53
-245 112 178 234 170
-246 22 223 214 127
-247 200 146 39 164
-248 80 59 10 175
-249 38 225 206 75
-250 50 105 120 186
0