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