Graph forms
for C4 [ 320, 95 ] = UG(ATD[320,53])
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On this page are computer-accessible forms for the graph C4[ 320, 95 ] =
UG(ATD[320,53]).
(I) Following is a form readable by MAGMA:
g:=Graph<320|{ {140, 141}, {274, 275}, {262, 263}, {181, 183}, {261, 263}, {1,
2}, {16, 20}, {1, 4}, {3, 6}, {248, 254}, {249, 255}, {2, 5}, {280, 287}, {129,
134}, {2, 10}, {310, 318}, {309, 317}, {7, 15}, {6, 14}, {5, 13}, {4, 12}, {3,
11}, {231, 238}, {96, 106}, {310, 316}, {245, 254}, {288, 300}, {306, 319},
{117, 123}, {182, 184}, {264, 280}, {266, 283}, {297, 314}, {296, 316}, {256,
277}, {8, 30}, {263, 273}, {260, 274}, {259, 277}, {9, 31}, {69, 82}, {263,
272}, {8, 16}, {303, 311}, {9, 17}, {143, 151}, {6, 28}, {41, 51}, {7, 29},
{134, 156}, {141, 151}, {135, 155}, {103, 122}, {4, 26}, {295, 313}, {42, 52},
{5, 27}, {110, 112}, {79, 80}, {237, 242}, {227, 252}, {77, 109}, {261, 293},
{262, 292}, {201, 234}, {269, 302}, {219, 248}, {209, 244}, {220, 249}, {151,
177}, {159, 185}, {151, 176}, {259, 299}, {275, 315}, {13, 36}, {286, 311},
{265, 288}, {72, 97}, {155, 178}, {10, 32}, {15, 37}, {14, 36}, {11, 33}, {149,
190}, {223, 244}, {274, 318}, {14, 35}, {23, 58}, {12, 34}, {274, 316}, {13,
35}, {149, 186}, {18, 34}, {200, 248}, {67, 115}, {256, 305}, {258, 307}, {277,
295}, {149, 166}, {213, 230}, {209, 226}, {201, 250}, {24, 44}, {273, 293},
{272, 292}, {70, 114}, {25, 45}, {128, 180}, {145, 164}, {16, 38}, {272, 294},
{71, 113}, {17, 39}, {18, 37}, {157, 165}, {267, 307}, {256, 313}, {213, 239},
{19, 40}, {267, 304}, {21, 41}, {268, 304}, {23, 43}, {22, 42}, {257, 316},
{260, 313}, {199, 249}, {76, 115}, {276, 299}, {268, 307}, {260, 315}, {203,
244}, {21, 85}, {1, 64}, {22, 84}, {258, 320}, {50, 112}, {155, 216}, {168,
236}, {61, 117}, {10, 64}, {57, 115}, {43, 97}, {42, 96}, {31, 85}, {30, 84},
{27, 81}, {26, 80}, {15, 69}, {14, 68}, {11, 65}, {167, 235}, {61, 112}, {63,
114}, {12, 66}, {47, 97}, {45, 99}, {44, 98}, {29, 83}, {28, 82}, {13, 67},
{145, 223}, {62, 113}, {181, 250}, {166, 233}, {158, 209}, {168, 248}, {180,
228}, {39, 118}, {144, 193}, {30, 76}, {53, 103}, {44, 126}, {43, 120}, {60,
111}, {56, 107}, {45, 126}, {31, 75}, {178, 230}, {175, 251}, {50, 102}, {49,
101}, {48, 100}, {32, 117}, {174, 251}, {59, 110}, {57, 108}, {33, 116}, {136,
221}, {138, 223}, {158, 203}, {159, 202}, {16, 70}, {179, 229}, {25, 79}, {24,
78}, {17, 71}, {137, 222}, {53, 109}, {185, 225}, {18, 72}, {23, 77}, {22, 76},
{19, 73}, {128, 218}, {135, 220}, {48, 108}, {142, 210}, {55, 106}, {134, 219},
{20, 74}, {167, 249}, {54, 104}, {52, 106}, {21, 75}, {135, 230}, {132, 225},
{156, 250}, {187, 221}, {133, 226}, {1, 105}, {139, 225}, {183, 221}, {143,
228}, {148, 255}, {137, 229}, {142, 227}, {138, 228}, {140, 226}, {139, 251},
{152, 232}, {47, 94}, {153, 232}, {26, 105}, {46, 93}, {148, 231}, {154, 233},
{159, 236}, {308, 320}, {144, 229}, {158, 235}, {32, 86}, {41, 95}, {40, 94},
{33, 87}, {156, 234}, {32, 87}, {33, 86}, {140, 251}, {154, 237}, {9, 113}, {47,
87}, {46, 86}, {36, 92}, {35, 91}, {8, 114}, {186, 192}, {161, 219}, {35, 89},
{34, 88}, {39, 92}, {169, 210}, {25, 101}, {50, 78}, {160, 220}, {37, 88}, {39,
90}, {38, 91}, {24, 102}, {190, 192}, {49, 79}, {36, 90}, {34, 93}, {38, 89},
{43, 170}, {42, 168}, {38, 165}, {57, 189}, {47, 170}, {56, 189}, {54, 176},
{46, 169}, {114, 245}, {58, 178}, {66, 202}, {60, 180}, {59, 179}, {104, 224},
{54, 191}, {63, 182}, {56, 177}, {53, 190}, {62, 181}, {99, 238}, {40, 166},
{41, 167}, {51, 188}, {79, 192}, {70, 201}, {52, 187}, {61, 173}, {80, 193},
{88, 201}, {86, 199}, {84, 197}, {82, 195}, {91, 202}, {57, 171}, {83, 193},
{81, 194}, {85, 198}, {80, 196}, {82, 198}, {81, 197}, {126, 234}, {100, 241},
{84, 194}, {85, 195}, {94, 200}, {127, 233}, {83, 196}, {92, 203}, {9, 145},
{93, 199}, {111, 245}, {48, 171}, {52, 175}, {66, 222}, {49, 172}, {51, 174},
{121, 228}, {55, 169}, {50, 173}, {87, 200}, {122, 229}, {46, 142}, {65, 224},
{120, 217}, {2, 160}, {3, 161}, {95, 253}, {112, 212}, {37, 128}, {119, 210},
{28, 186}, {126, 216}, {127, 217}, {53, 146}, {98, 202}, {99, 203}, {58, 147},
{94, 247}, {100, 205}, {102, 207}, {124, 214}, {125, 215}, {93, 246}, {101,
206}, {97, 204}, {119, 218}, {123, 213}, {20, 165}, {115, 193}, {118, 196},
{119, 197}, {55, 132}, {69, 243}, {116, 194}, {117, 195}, {109, 218}, {120,
207}, {104, 208}, {105, 208}, {119, 206}, {64, 250}, {27, 160}, {31, 164}, {118,
205}, {81, 237}, {111, 211}, {28, 161}, {30, 163}, {108, 209}, {120, 198}, {29,
162}, {109, 210}, {24, 216}, {99, 163}, {62, 255}, {63, 254}, {55, 242}, {98,
164}, {73, 142}, {10, 195}, {11, 194}, {124, 181}, {45, 231}, {68, 143}, {121,
178}, {125, 182}, {96, 172}, {127, 179}, {23, 217}, {88, 150}, {74, 132}, {51,
253}, {70, 150}, {71, 149}, {107, 185}, {67, 144}, {123, 175}, {56, 239}, {83,
139}, {90, 130}, {4, 222}, {89, 131}, {26, 192}, {59, 231}, {95, 131}, {18,
204}, {49, 211}, {59, 217}, {96, 130}, {3, 224}, {74, 169}, {124, 159}, {125,
158}, {113, 148}, {48, 214}, {60, 218}, {103, 129}, {72, 175}, {73, 174}, {61,
213}, {63, 215}, {62, 214}, {122, 146}, {108, 133}, {98, 136}, {104, 130}, {105,
131}, {121, 147}, {107, 132}, {19, 227}, {76, 189}, {78, 191}, {95, 173}, {25,
234}, {77, 190}, {72, 187}, {7, 243}, {89, 173}, {68, 177}, {73, 188}, {75,
189}, {90, 172}, {64, 183}, {123, 140}, {65, 184}, {12, 246}, {75, 177}, {22,
236}, {19, 233}, {110, 148}, {66, 185}, {103, 156}, {29, 225}, {21, 235}, {78,
176}, {69, 186}, {91, 164}, {92, 163}, {54, 306}, {44, 291}, {40, 319}, {5,
281}, {6, 282}, {20, 266}, {60, 291}, {58, 284}, {15, 290}, {111, 320}, {17,
288}, {27, 298}, {8, 305}, {7, 314}, {124, 308}, {125, 309}, {71, 269}, {74,
283}, {77, 284}, {110, 317}, {118, 288}, {67, 281}, {101, 313}, {68, 282}, {127,
289}, {116, 287}, {65, 302}, {106, 261}, {102, 277}, {122, 270}, {107, 286},
{121, 271}, {100, 285}, {116, 264}, {143, 271}, {165, 294}, {170, 300}, {171,
301}, {137, 256}, {150, 284}, {153, 275}, {152, 276}, {135, 266}, {157, 272},
{134, 265}, {180, 293}, {133, 279}, {163, 305}, {139, 287}, {191, 298}, {176,
294}, {179, 292}, {162, 314}, {182, 302}, {129, 280}, {146, 267}, {144, 270},
{147, 268}, {130, 290}, {136, 297}, {187, 282}, {184, 281}, {162, 259}, {153,
312}, {128, 290}, {131, 289}, {191, 284}, {172, 264}, {152, 317}, {188, 281},
{168, 271}, {161, 265}, {133, 300}, {167, 270}, {157, 311}, {160, 266}, {136,
291}, {166, 269}, {141, 294}, {129, 301}, {154, 310}, {137, 292}, {183, 282},
{138, 295}, {138, 293}, {174, 287}, {141, 318}, {171, 280}, {152, 301}, {155,
302}, {145, 295}, {162, 276}, {157, 299}, {184, 257}, {146, 296}, {147, 297},
{154, 289}, {150, 298}, {170, 279}, {188, 257}, {242, 310}, {238, 296}, {200,
271}, {240, 311}, {237, 298}, {247, 319}, {199, 270}, {215, 286}, {206, 260},
{241, 315}, {220, 278}, {214, 285}, {244, 319}, {207, 259}, {219, 278}, {212,
283}, {247, 312}, {227, 307}, {252, 300}, {211, 258}, {207, 285}, {224, 306},
{196, 273}, {216, 269}, {245, 291}, {204, 283}, {239, 312}, {236, 308}, {241,
297}, {240, 296}, {153, 320}, {198, 285}, {246, 301}, {240, 299}, {211, 264},
{205, 273}, {232, 308}, {226, 318}, {232, 309}, {230, 312}, {235, 309}, {206,
303}, {246, 276}, {212, 304}, {247, 275}, {243, 279}, {221, 314}, {254, 278},
{212, 317}, {255, 278}, {197, 303}, {253, 279}, {223, 306}, {222, 305}, {238,
257}, {208, 289}, {239, 286}, {208, 290}, {243, 262}, {252, 265}, {205, 315},
{242, 261}, {215, 303}, {240, 267}, {253, 262}, {204, 304}, {241, 268}, {252,
258} }>;
(II) A more general form is to represent the graph as the orbit of {140, 141}
under the group generated by the following permutations:
a: (1, 2, 5, 13, 35, 89, 131, 105)(3, 8, 21, 54, 137, 82, 150, 270)(4, 10, 27,
67, 14, 38, 95, 208)(6, 16, 41, 104, 222, 195, 298, 144)(7, 18, 46, 116, 22, 56,
141, 263)(9, 24, 59, 149, 234, 255, 302, 99)(11, 30, 75, 176, 292, 69, 88,
199)(12, 32, 81, 115, 68, 165, 253, 290)(15, 34, 86, 194, 76, 177, 294, 262)(17,
44, 110, 166, 25, 62, 155, 238)(19, 49, 124, 230, 316, 118, 136, 212)(20, 51,
130, 66, 117, 237, 193, 282)(23, 53, 134, 254, 125, 244, 295, 207)(26, 64, 160,
281, 36, 91, 173, 289)(28, 70, 167, 224, 305, 85, 191, 229)(29, 72, 169, 287,
42, 107, 140, 261)(31, 78, 179, 186, 201, 249, 65, 163)(33, 84, 189, 151, 272,
243, 37, 93)(39, 98, 112, 233, 79, 181, 135, 257)(40, 101, 214, 178, 296, 288,
291, 317)(43, 109, 129, 248, 215, 209, 138, 259)(45, 113, 216, 231, 71, 126,
148, 269)(47, 119, 171, 271, 311, 133, 180, 276)(48, 121, 240, 300, 60, 152, 94,
206)(50, 127, 192, 250, 220, 184, 92, 164)(52, 132, 251, 106, 225, 175, 55,
139)(57, 143, 157, 279, 128, 246, 87, 197)(58, 146, 265, 245, 309, 319, 313,
285)(61, 154, 80, 183, 266, 188, 90, 202)(63, 158, 223, 277, 120, 77, 103,
219)(73, 172, 159, 213, 310, 196, 221, 283)(74, 174, 96, 185, 123, 242, 83,
187)(97, 210, 280, 168, 286, 226, 293, 162)(100, 147, 267, 252, 111, 232, 247,
260)(102, 217, 190, 156, 278, 182, 203, 145)(108, 228, 299, 170, 218, 301, 200,
303)(114, 235, 306, 256, 198, 284, 122, 161)(142, 264, 236, 239, 318, 273, 314,
204)(153, 275, 315, 241, 268, 307, 258, 320)(205, 297, 304, 227, 211, 308, 312,
274) (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, 12)(6, 15)(8, 20)(9, 23)(10, 26)(11, 29)(13, 34)(14, 37)(17,
43)(18, 36)(19, 48)(21, 53)(22, 55)(25, 61)(27, 66)(28, 69)(30, 74)(31, 77)(32,
80)(33, 83)(35, 88)(38, 70)(39, 97)(40, 100)(41, 103)(42, 106)(44, 78)(45,
112)(46, 115)(47, 118)(49, 123)(50, 126)(51, 129)(52, 96)(54, 136)(56, 119)(57,
142)(58, 145)(59, 148)(60, 151)(62, 127)(63, 157)(64, 105)(65, 162)(67, 93)(68,
128)(71, 120)(72, 90)(73, 171)(75, 109)(76, 169)(79, 117)(81, 185)(82, 186)(84,
132)(85, 190)(86, 193)(87, 196)(89, 201)(91, 150)(92, 204)(94, 205)(95, 156)(98,
191)(99, 212)(101, 213)(102, 216)(104, 221)(107, 197)(108, 227)(110, 231)(111,
141)(113, 217)(114, 165)(116, 139)(121, 138)(122, 167)(124, 154)(125, 240)(130,
187)(131, 250)(133, 252)(134, 253)(135, 256)(137, 220)(140, 211)(143, 180)(144,
199)(146, 235)(147, 223)(149, 198)(152, 257)(153, 274)(155, 277)(158, 267)(159,
237)(160, 222)(161, 243)(163, 283)(164, 284)(166, 285)(168, 261)(170, 288)(172,
175)(173, 234)(174, 280)(176, 291)(177, 218)(178, 295)(179, 255)(181, 289)(182,
299)(183, 208)(184, 276)(188, 301)(189, 210)(192, 195)(194, 225)(200, 273)(202,
298)(203, 304)(206, 239)(207, 269)(209, 307)(214, 233)(215, 311)(219, 262)(224,
314)(226, 258)(229, 249)(230, 313)(232, 316)(236, 242)(238, 317)(241, 319)(244,
268)(245, 294)(246, 281)(247, 315)(248, 263)(251, 264)(254, 272)(259, 302)(260,
312)(265, 279)(266, 305)(271, 293)(278, 292)(282, 290)(286, 303)(296, 309)(297,
306)(308, 310)(318, 320)
C4[ 320, 95 ]
320
-1 2 4 105 64
-2 1 5 160 10
-3 11 224 6 161
-4 1 12 222 26
-5 2 13 27 281
-6 3 14 28 282
-7 243 15 314 29
-8 114 16 30 305
-9 145 113 17 31
-10 2 195 64 32
-11 33 3 194 65
-12 66 34 4 246
-13 67 35 36 5
-14 35 68 36 6
-15 69 37 290 7
-16 70 38 8 20
-17 288 71 39 9
-18 34 37 72 204
-19 233 40 73 227
-20 165 266 16 74
-21 235 41 85 75
-22 236 84 42 76
-23 77 58 217 43
-24 44 78 102 216
-25 45 79 101 234
-26 80 4 192 105
-27 298 81 5 160
-28 82 6 161 186
-29 225 83 7 162
-30 84 8 163 76
-31 85 9 75 164
-32 117 86 10 87
-33 11 116 86 87
-34 88 12 93 18
-35 89 13 14 91
-36 13 90 14 92
-37 88 15 18 128
-38 165 89 91 16
-39 90 92 17 118
-40 319 166 94 19
-41 167 51 95 21
-42 22 168 52 96
-43 23 170 97 120
-44 24 126 291 98
-45 99 231 25 126
-46 169 93 86 142
-47 170 94 97 87
-48 100 214 171 108
-49 79 101 211 172
-50 78 112 102 173
-51 253 188 41 174
-52 187 106 42 175
-53 146 190 103 109
-54 176 191 104 306
-55 132 242 169 106
-56 177 189 107 239
-57 189 115 171 108
-58 23 178 147 284
-59 110 231 179 217
-60 111 180 291 218
-61 112 213 117 173
-62 255 113 181 214
-63 254 114 182 215
-64 1 183 250 10
-65 11 224 302 184
-66 12 222 202 185
-67 144 13 115 281
-68 143 177 14 282
-69 243 15 82 186
-70 201 114 16 150
-71 113 269 17 149
-72 187 18 97 175
-73 188 19 174 142
-74 132 169 283 20
-75 177 189 31 21
-76 22 189 115 30
-77 23 190 284 109
-78 176 24 191 50
-79 25 80 49 192
-80 79 26 193 196
-81 27 237 194 197
-82 198 69 28 195
-83 193 29 139 196
-84 22 194 30 197
-85 198 195 31 21
-86 33 199 46 32
-87 33 200 47 32
-88 34 201 37 150
-89 35 38 173 131
-90 36 39 172 130
-91 35 202 38 164
-92 36 203 39 163
-93 34 199 46 246
-94 200 47 247 40
-95 253 41 173 131
-96 106 172 42 130
-97 47 72 204 43
-98 44 136 202 164
-99 45 203 238 163
-100 48 205 241 285
-101 25 49 313 206
-102 24 277 50 207
-103 122 156 129 53
-104 224 130 54 208
-105 1 26 131 208
-106 55 52 96 261
-107 132 286 56 185
-108 209 133 57 48
-109 77 210 53 218
-110 112 59 148 317
-111 320 211 245 60
-112 110 212 50 61
-113 71 148 62 9
-114 245 70 8 63
-115 67 57 193 76
-116 33 264 287 194
-117 123 61 195 32
-118 288 39 205 196
-119 210 206 218 197
-120 198 217 207 43
-121 178 147 271 228
-122 146 103 270 229
-123 213 117 140 175
-124 308 159 181 214
-125 309 158 182 215
-126 44 45 234 216
-127 233 179 289 217
-128 37 180 290 218
-129 134 103 301 280
-130 90 290 104 96
-131 89 289 105 95
-132 55 225 74 107
-133 300 279 226 108
-134 265 156 129 219
-135 220 155 266 230
-136 297 221 291 98
-137 222 256 292 229
-138 223 293 228 295
-139 287 225 83 251
-140 123 226 141 251
-141 140 151 294 318
-142 210 46 73 227
-143 68 271 151 228
-144 67 193 270 229
-145 223 9 295 164
-146 122 267 53 296
-147 121 297 58 268
-148 110 231 255 113
-149 166 190 71 186
-150 88 298 70 284
-151 143 176 177 141
-152 232 276 301 317
-153 275 232 320 312
-154 233 310 289 237
-155 178 135 302 216
-156 134 234 103 250
-157 165 299 311 272
-158 209 125 235 203
-159 124 202 236 185
-160 220 2 266 27
-161 265 3 28 219
-162 276 259 314 29
-163 99 92 30 305
-164 145 91 31 98
-165 157 38 294 20
-166 233 269 149 40
-167 235 270 249 41
-168 236 248 271 42
-169 55 210 46 74
-170 47 300 279 43
-171 57 48 301 280
-172 264 90 49 96
-173 89 50 61 95
-174 287 51 73 251
-175 123 72 52 251
-176 78 151 294 54
-177 56 68 151 75
-178 121 155 58 230
-179 59 127 292 229
-180 60 128 293 228
-181 124 62 183 250
-182 125 302 63 184
-183 221 181 282 64
-184 257 182 281 65
-185 66 159 225 107
-186 69 192 28 149
-187 221 72 282 52
-188 257 281 51 73
-189 56 57 75 76
-190 77 192 149 53
-191 78 298 284 54
-192 79 190 26 186
-193 144 80 115 83
-194 11 81 116 84
-195 82 117 85 10
-196 80 83 118 273
-197 81 303 84 119
-198 82 85 120 285
-199 93 270 249 86
-200 94 248 271 87
-201 88 234 70 250
-202 66 91 159 98
-203 99 244 92 158
-204 18 304 283 97
-205 100 315 118 273
-206 101 303 260 119
-207 102 259 120 285
-208 289 290 104 105
-209 244 158 226 108
-210 169 119 109 142
-211 264 111 49 258
-212 112 304 283 317
-213 123 61 239 230
-214 124 48 62 285
-215 286 125 303 63
-216 155 24 126 269
-217 23 59 127 120
-218 60 128 119 109
-219 134 278 248 161
-220 135 278 160 249
-221 187 136 314 183
-222 66 4 137 305
-223 145 244 138 306
-224 3 104 306 65
-225 132 29 139 185
-226 209 133 140 318
-227 19 142 252 307
-228 121 143 180 138
-229 122 144 179 137
-230 178 135 213 312
-231 45 59 148 238
-232 308 309 152 153
-233 154 166 127 19
-234 156 25 201 126
-235 309 167 158 21
-236 22 308 168 159
-237 154 242 298 81
-238 99 231 257 296
-239 286 56 213 312
-240 299 267 311 296
-241 297 100 268 315
-242 55 310 237 261
-243 69 279 7 262
-244 209 319 223 203
-245 111 254 114 291
-246 12 276 301 93
-247 275 319 312 94
-248 254 200 168 219
-249 220 199 167 255
-250 156 201 181 64
-251 139 140 174 175
-252 265 300 258 227
-253 279 51 95 262
-254 245 278 248 63
-255 278 148 62 249
-256 277 137 313 305
-257 188 238 184 316
-258 320 211 252 307
-259 277 299 162 207
-260 313 315 206 274
-261 242 106 293 263
-262 253 243 292 263
-263 261 272 262 273
-264 211 280 116 172
-265 134 288 161 252
-266 135 160 283 20
-267 146 304 240 307
-268 147 304 241 307
-269 166 71 302 216
-270 122 144 199 167
-271 121 143 200 168
-272 157 292 294 263
-273 205 293 196 263
-274 275 260 316 318
-275 247 315 153 274
-276 299 246 162 152
-277 102 256 259 295
-278 220 254 255 219
-279 253 133 243 170
-280 264 287 171 129
-281 67 188 5 184
-282 187 68 6 183
-283 266 212 204 74
-284 77 58 191 150
-285 198 100 214 207
-286 311 215 107 239
-287 280 116 139 174
-288 265 300 17 118
-289 154 127 131 208
-290 15 128 130 208
-291 44 245 136 60
-292 179 137 272 262
-293 180 138 261 273
-294 165 176 272 141
-295 145 277 313 138
-296 146 238 316 240
-297 136 147 314 241
-298 191 27 237 150
-299 276 157 259 240
-300 133 288 170 252
-301 246 171 129 152
-302 155 269 182 65
-303 311 215 206 197
-304 212 267 268 204
-305 222 256 8 163
-306 319 223 224 54
-307 267 268 258 227
-308 232 320 124 236
-309 232 125 235 317
-310 154 242 316 318
-311 286 157 303 240
-312 247 239 153 230
-313 101 256 260 295
-314 297 221 7 162
-315 275 205 260 241
-316 310 257 274 296
-317 110 309 212 152
-318 310 226 141 274
-319 244 247 40 306
-320 308 111 258 153
0