C4graphGraph forms for C4 [ 333, 1 ] = C_333(1,73)

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On this page are computer-accessible forms for the graph C4[ 333, 1 ] = C_333(1,73).

(I) Following is a form readable by MAGMA:

g:=Graph<333|{ {2, 3}, {332, 333}, {330, 331}, {328, 329}, {326, 327}, {324, 325}, {322, 323}, {320, 321}, {318, 319}, {316, 317}, {314, 315}, {312, 313}, {310, 311}, {308, 309}, {306, 307}, {304, 305}, {302, 303}, {300, 301}, {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}, {136, 137}, {134, 135}, {132, 133}, {130, 131}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {120, 121}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {110, 111}, {108, 109}, {106, 107}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {96, 97}, {94, 95}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {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}, {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}, {1, 2}, {329, 330}, {325, 326}, {321, 322}, {317, 318}, {313, 314}, {309, 310}, {305, 306}, {301, 302}, {297, 298}, {293, 294}, {289, 290}, {285, 286}, {281, 282}, {277, 278}, {273, 274}, {269, 270}, {265, 266}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {117, 118}, {113, 114}, {109, 110}, {105, 106}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {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}, {57, 58}, {61, 62}, {65, 66}, {137, 138}, {141, 142}, {145, 146}, {149, 150}, {153, 154}, {157, 158}, {161, 162}, {165, 166}, {169, 170}, {173, 174}, {177, 178}, {181, 182}, {185, 186}, {189, 190}, {193, 194}, {197, 198}, {201, 202}, {205, 206}, {209, 210}, {213, 214}, {217, 218}, {221, 222}, {225, 226}, {229, 230}, {233, 234}, {237, 238}, {241, 242}, {245, 246}, {249, 250}, {253, 254}, {257, 258}, {261, 262}, {3, 4}, {331, 332}, {323, 324}, {315, 316}, {307, 308}, {299, 300}, {291, 292}, {283, 284}, {275, 276}, {267, 268}, {131, 132}, {123, 124}, {115, 116}, {107, 108}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {59, 60}, {67, 68}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {179, 180}, {187, 188}, {195, 196}, {203, 204}, {211, 212}, {219, 220}, {227, 228}, {235, 236}, {243, 244}, {251, 252}, {259, 260}, {7, 8}, {327, 328}, {311, 312}, {295, 296}, {279, 280}, {263, 264}, {135, 136}, {119, 120}, {103, 104}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {151, 152}, {167, 168}, {183, 184}, {199, 200}, {215, 216}, {231, 232}, {247, 248}, {15, 16}, {303, 304}, {271, 272}, {111, 112}, {79, 80}, {47, 48}, {143, 144}, {175, 176}, {207, 208}, {239, 240}, {31, 32}, {287, 288}, {95, 96}, {159, 160}, {223, 224}, {2, 75}, {134, 207}, {132, 205}, {130, 203}, {128, 201}, {4, 77}, {6, 79}, {16, 89}, {18, 91}, {20, 93}, {22, 95}, {32, 105}, {34, 107}, {36, 109}, {38, 111}, {48, 121}, {50, 123}, {52, 125}, {54, 127}, {144, 217}, {146, 219}, {148, 221}, {150, 223}, {160, 233}, {162, 235}, {164, 237}, {166, 239}, {176, 249}, {178, 251}, {180, 253}, {182, 255}, {256, 329}, {258, 331}, {260, 333}, {1, 74}, {133, 206}, {129, 202}, {5, 78}, {17, 90}, {21, 94}, {33, 106}, {37, 110}, {49, 122}, {53, 126}, {145, 218}, {149, 222}, {161, 234}, {165, 238}, {177, 250}, {181, 254}, {257, 330}, {3, 76}, {131, 204}, {19, 92}, {35, 108}, {51, 124}, {147, 220}, {163, 236}, {179, 252}, {259, 332}, {7, 80}, {135, 208}, {15, 88}, {39, 112}, {47, 120}, {143, 216}, {167, 240}, {175, 248}, {8, 81}, {136, 209}, {10, 83}, {12, 85}, {14, 87}, {40, 113}, {42, 115}, {44, 117}, {46, 119}, {138, 211}, {140, 213}, {142, 215}, {168, 241}, {170, 243}, {172, 245}, {174, 247}, {9, 82}, {13, 86}, {41, 114}, {45, 118}, {137, 210}, {141, 214}, {169, 242}, {173, 246}, {11, 84}, {43, 116}, {139, 212}, {171, 244}, {23, 96}, {31, 104}, {151, 224}, {159, 232}, {24, 97}, {26, 99}, {28, 101}, {30, 103}, {152, 225}, {154, 227}, {156, 229}, {158, 231}, {25, 98}, {29, 102}, {153, 226}, {157, 230}, {27, 100}, {319, 320}, {63, 64}, {155, 228}, {191, 192}, {55, 128}, {127, 200}, {119, 192}, {63, 136}, {56, 129}, {126, 199}, {124, 197}, {122, 195}, {120, 193}, {58, 131}, {60, 133}, {62, 135}, {57, 130}, {125, 198}, {121, 194}, {61, 134}, {59, 132}, {123, 196}, {64, 137}, {118, 191}, {116, 189}, {114, 187}, {112, 185}, {102, 175}, {100, 173}, {98, 171}, {96, 169}, {86, 159}, {84, 157}, {82, 155}, {80, 153}, {70, 143}, {66, 139}, {68, 141}, {65, 138}, {117, 190}, {113, 186}, {101, 174}, {97, 170}, {85, 158}, {81, 154}, {69, 142}, {67, 140}, {115, 188}, {99, 172}, {83, 156}, {71, 144}, {111, 184}, {103, 176}, {79, 152}, {72, 145}, {110, 183}, {108, 181}, {106, 179}, {104, 177}, {78, 151}, {76, 149}, {74, 147}, {73, 146}, {109, 182}, {105, 178}, {77, 150}, {75, 148}, {107, 180}, {87, 160}, {95, 168}, {88, 161}, {94, 167}, {92, 165}, {90, 163}, {89, 162}, {93, 166}, {91, 164}, {127, 128}, {1, 261}, {73, 333}, {72, 332}, {2, 262}, {3, 263}, {8, 268}, {9, 269}, {10, 270}, {11, 271}, {16, 276}, {17, 277}, {18, 278}, {19, 279}, {24, 284}, {25, 285}, {26, 286}, {27, 287}, {32, 292}, {33, 293}, {34, 294}, {35, 295}, {40, 300}, {41, 301}, {42, 302}, {43, 303}, {48, 308}, {49, 309}, {50, 310}, {51, 311}, {56, 316}, {57, 317}, {58, 318}, {59, 319}, {64, 324}, {65, 325}, {66, 326}, {67, 327}, {4, 264}, {71, 331}, {70, 330}, {69, 329}, {5, 265}, {6, 266}, {7, 267}, {20, 280}, {21, 281}, {22, 282}, {23, 283}, {36, 296}, {37, 297}, {38, 298}, {39, 299}, {52, 312}, {53, 313}, {54, 314}, {55, 315}, {68, 328}, {12, 272}, {13, 273}, {14, 274}, {15, 275}, {44, 304}, {45, 305}, {46, 306}, {47, 307}, {28, 288}, {29, 289}, {30, 290}, {31, 291}, {1, 333}, {60, 320}, {61, 321}, {62, 322}, {63, 323}, {183, 256}, {191, 264}, {247, 320}, {255, 328}, {184, 257}, {186, 259}, {188, 261}, {190, 263}, {248, 321}, {250, 323}, {252, 325}, {254, 327}, {185, 258}, {189, 262}, {249, 322}, {253, 326}, {187, 260}, {251, 324}, {192, 265}, {194, 267}, {196, 269}, {198, 271}, {208, 281}, {210, 283}, {212, 285}, {214, 287}, {224, 297}, {226, 299}, {228, 301}, {230, 303}, {240, 313}, {242, 315}, {244, 317}, {246, 319}, {193, 266}, {197, 270}, {209, 282}, {213, 286}, {225, 298}, {229, 302}, {241, 314}, {245, 318}, {195, 268}, {211, 284}, {227, 300}, {243, 316}, {199, 272}, {207, 280}, {231, 304}, {239, 312}, {200, 273}, {202, 275}, {204, 277}, {206, 279}, {232, 305}, {234, 307}, {236, 309}, {238, 311}, {201, 274}, {205, 278}, {233, 306}, {237, 310}, {203, 276}, {235, 308}, {215, 288}, {223, 296}, {216, 289}, {218, 291}, {220, 293}, {222, 295}, {217, 290}, {221, 294}, {219, 292}, {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: (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, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333)
b: (2, 74)(3, 147)(4, 220)(5, 293)(6, 33)(7, 106)(8, 179)(9, 252)(10, 325)(11, 65)(12, 138)(13, 211)(14, 284)(15, 24)(16, 97)(17, 170)(18, 243)(19, 316)(20, 56)(21, 129)(22, 202)(23, 275)(25, 88)(26, 161)(27, 234)(28, 307)(29, 47)(30, 120)(31, 193)(32, 266)(34, 79)(35, 152)(36, 225)(37, 298)(39, 111)(40, 184)(41, 257)(42, 330)(43, 70)(44, 143)(45, 216)(46, 289)(48, 102)(49, 175)(50, 248)(51, 321)(52, 61)(53, 134)(54, 207)(55, 280)(57, 93)(58, 166)(59, 239)(60, 312)(62, 125)(63, 198)(64, 271)(66, 84)(67, 157)(68, 230)(69, 303)(71, 116)(72, 189)(73, 262)(76, 148)(77, 221)(78, 294)(80, 107)(81, 180)(82, 253)(83, 326)(85, 139)(86, 212)(87, 285)(89, 98)(90, 171)(91, 244)(92, 317)(94, 130)(95, 203)(96, 276)(99, 162)(100, 235)(101, 308)(103, 121)(104, 194)(105, 267)(108, 153)(109, 226)(110, 299)(113, 185)(114, 258)(115, 331)(117, 144)(118, 217)(119, 290)(122, 176)(123, 249)(124, 322)(126, 135)(127, 208)(128, 281)(131, 167)(132, 240)(133, 313)(136, 199)(137, 272)(140, 158)(141, 231)(142, 304)(145, 190)(146, 263)(150, 222)(151, 295)(154, 181)(155, 254)(156, 327)(159, 213)(160, 286)(163, 172)(164, 245)(165, 318)(168, 204)(169, 277)(173, 236)(174, 309)(177, 195)(178, 268)(182, 227)(183, 300)(187, 259)(188, 332)(191, 218)(192, 291)(196, 250)(197, 323)(200, 209)(201, 282)(205, 241)(206, 314)(210, 273)(214, 232)(215, 305)(219, 264)(224, 296)(228, 255)(229, 328)(233, 287)(237, 246)(238, 319)(242, 278)(247, 310)(251, 269)(256, 301)(261, 333)(265, 292)(270, 324)(274, 283)(279, 315)(288, 306)(302, 329)(311, 320)
c: (2, 261)(3, 188)(4, 115)(5, 42)(6, 302)(7, 229)(8, 156)(9, 83)(11, 270)(12, 197)(13, 124)(14, 51)(15, 311)(16, 238)(17, 165)(18, 92)(20, 279)(21, 206)(22, 133)(23, 60)(24, 320)(25, 247)(26, 174)(27, 101)(29, 288)(30, 215)(31, 142)(32, 69)(33, 329)(34, 256)(35, 183)(36, 110)(38, 297)(39, 224)(40, 151)(41, 78)(43, 265)(44, 192)(45, 119)(47, 306)(48, 233)(49, 160)(50, 87)(52, 274)(53, 201)(54, 128)(56, 315)(57, 242)(58, 169)(59, 96)(61, 283)(62, 210)(63, 137)(65, 324)(66, 251)(67, 178)(68, 105)(70, 292)(71, 219)(72, 146)(74, 333)(75, 260)(76, 187)(77, 114)(79, 301)(80, 228)(81, 155)(84, 269)(85, 196)(86, 123)(88, 310)(89, 237)(90, 164)(93, 278)(94, 205)(95, 132)(97, 319)(98, 246)(99, 173)(102, 287)(103, 214)(104, 141)(106, 328)(107, 255)(108, 182)(111, 296)(112, 223)(113, 150)(116, 264)(117, 191)(120, 305)(121, 232)(122, 159)(125, 273)(126, 200)(129, 314)(130, 241)(131, 168)(134, 282)(135, 209)(138, 323)(139, 250)(140, 177)(143, 291)(144, 218)(147, 332)(148, 259)(149, 186)(152, 300)(153, 227)(157, 268)(158, 195)(161, 309)(162, 236)(166, 277)(167, 204)(170, 318)(171, 245)(175, 286)(176, 213)(179, 327)(180, 254)(184, 295)(185, 222)(189, 263)(193, 304)(194, 231)(198, 272)(202, 313)(203, 240)(207, 281)(211, 322)(212, 249)(216, 290)(220, 331)(221, 258)(225, 299)(230, 267)(234, 308)(239, 276)(243, 317)(248, 285)(252, 326)(257, 294)(266, 303)(275, 312)(284, 321)(293, 330)

(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[ 333, 1 ]
333
-1 2 333 74 261
-2 1 3 75 262
-3 2 4 76 263
-4 77 264 3 5
-5 78 265 4 6
-6 79 266 5 7
-7 80 267 6 8
-8 81 268 7 9
-9 82 269 8 10
-10 11 83 270 9
-11 12 84 271 10
-12 11 13 85 272
-13 12 14 86 273
-14 13 15 87 274
-15 88 275 14 16
-16 89 276 15 17
-17 90 277 16 18
-18 91 278 17 19
-19 92 279 18 20
-20 93 280 19 21
-21 22 94 281 20
-22 23 95 282 21
-23 22 24 96 283
-24 23 25 97 284
-25 24 26 98 285
-26 99 286 25 27
-27 100 287 26 28
-28 101 288 27 29
-29 102 289 28 30
-30 103 290 29 31
-31 104 291 30 32
-32 33 105 292 31
-33 34 106 293 32
-34 33 35 107 294
-35 34 36 108 295
-36 35 37 109 296
-37 110 297 36 38
-38 111 298 37 39
-39 112 299 38 40
-40 113 300 39 41
-41 114 301 40 42
-42 115 302 41 43
-43 44 116 303 42
-44 45 117 304 43
-45 44 46 118 305
-46 45 47 119 306
-47 46 48 120 307
-48 121 308 47 49
-49 122 309 48 50
-50 123 310 49 51
-51 124 311 50 52
-52 125 312 51 53
-53 126 313 52 54
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-55 56 128 315 54
-56 55 57 129 316
-57 56 58 130 317
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-61 134 321 60 62
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-65 66 138 325 64
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-72 145 332 71 73
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-75 2 148 74 76
-76 77 3 149 75
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-96 23 169 95 97
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-100 99 101 27 173
-101 100 102 28 174
-102 101 103 29 175
-103 176 102 104 30
-104 177 103 105 31
-105 178 104 106 32
-106 33 179 105 107
-107 34 180 106 108
-108 35 181 107 109
-109 110 36 182 108
-110 111 37 183 109
-111 110 112 38 184
-112 111 113 39 185
-113 112 114 40 186
-114 187 113 115 41
-115 188 114 116 42
-116 189 115 117 43
-117 44 190 116 118
-118 45 191 117 119
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-244 243 245 171 317
-245 244 246 172 318
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-255 254 256 182 328
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-323 322 324 63 250
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-325 324 326 65 252
-326 66 253 325 327
-327 67 254 326 328
-328 68 255 327 329
-329 330 69 256 328
-330 331 70 257 329
-331 330 332 71 258
-332 331 333 72 259
-333 1 332 73 260
0

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