C4graphGraph forms for C4 [ 299, 1 ] = C_299(1,116)

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On this page are computer-accessible forms for the graph C4[ 299, 1 ] = C_299(1,116).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

(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.

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&Graph
C4[ 299, 1 ]
299
-1 2 299 117 184
-2 1 3 118 185
-3 2 4 119 186
-4 187 3 5 120
-5 121 188 4 6
-6 122 189 5 7
-7 123 190 6 8
-8 124 191 7 9
-9 125 192 8 10
-10 11 126 193 9
-11 12 127 194 10
-12 11 13 128 195
-13 12 14 129 196
-14 13 15 130 197
-15 198 14 16 131
-16 132 199 15 17
-17 133 200 16 18
-18 134 201 17 19
-19 135 202 18 20
-20 136 203 19 21
-21 22 137 204 20
-22 23 138 205 21
-23 22 24 139 206
-24 23 25 140 207
-25 24 26 141 208
-26 209 25 27 142
-27 143 210 26 28
-28 144 211 27 29
-29 145 212 28 30
-30 146 213 29 31
-31 147 214 30 32
-32 33 148 215 31
-33 34 149 216 32
-34 33 35 150 217
-35 34 36 151 218
-36 35 37 152 219
-37 220 36 38 153
-38 154 221 37 39
-39 155 222 38 40
-40 156 223 39 41
-41 157 224 40 42
-42 158 225 41 43
-43 44 159 226 42
-44 45 160 227 43
-45 44 46 161 228
-46 45 47 162 229
-47 46 48 163 230
-48 231 47 49 164
-49 165 232 48 50
-50 166 233 49 51
-51 167 234 50 52
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-54 55 170 237 53
-55 56 171 238 54
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-58 57 59 174 241
-59 242 58 60 175
-60 176 243 59 61
-61 177 244 60 62
-62 178 245 61 63
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-112 111 113 228 295
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-121 122 5 237 120
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-299 1 298 116 183
0

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