C4graphGraph forms for C4 [ 308, 2 ] = C_308(1,43)

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On this page are computer-accessible forms for the graph C4[ 308, 2 ] = C_308(1,43).

(I) Following is a form readable by MAGMA:

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

(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[ 308, 2 ]
308
-1 44 308 2 266
-2 1 45 3 267
-3 2 46 4 268
-4 3 47 5 269
-5 4 48 6 270
-6 5 49 7 271
-7 6 50 8 272
-8 7 51 9 273
-9 8 52 10 274
-10 11 275 9 53
-11 12 276 10 54
-12 11 55 13 277
-13 12 56 14 278
-14 13 57 15 279
-15 14 58 16 280
-16 15 59 17 281
-17 16 60 18 282
-18 17 61 19 283
-19 18 62 20 284
-20 19 63 21 285
-21 22 286 20 64
-22 23 287 21 65
-23 22 66 24 288
-24 23 67 25 289
-25 24 68 26 290
-26 25 69 27 291
-27 26 70 28 292
-28 27 71 29 293
-29 28 72 30 294
-30 29 73 31 295
-31 30 74 32 296
-32 33 297 31 75
-33 34 298 32 76
-34 33 77 35 299
-35 34 78 36 300
-36 35 79 37 301
-37 36 80 38 302
-38 37 81 39 303
-39 38 82 40 304
-40 39 83 41 305
-41 40 84 42 306
-42 41 85 43 307
-43 44 308 42 86
-44 1 45 43 87
-45 44 88 2 46
-46 45 89 3 47
-47 46 90 4 48
-48 47 91 5 49
-49 48 92 6 50
-50 49 93 7 51
-51 50 94 8 52
-52 51 95 9 53
-53 52 96 10 54
-54 11 55 53 97
-55 12 56 54 98
-56 55 99 13 57
-57 56 100 14 58
-58 57 101 15 59
-59 58 102 16 60
-60 59 103 17 61
-61 60 104 18 62
-62 61 105 19 63
-63 62 106 20 64
-64 63 107 21 65
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-113 112 156 70 114
-114 113 157 71 115
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-150 149 193 107 151
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-156 155 199 113 157
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-219 176 220 218 262
-220 177 221 219 263
-221 220 264 178 222
-222 221 265 179 223
-223 222 266 180 224
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-251 250 294 208 252
-252 209 253 251 295
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-263 220 264 262 306
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-300 35 299 257 301
-301 36 300 258 302
-302 37 301 259 303
-303 38 302 260 304
-304 39 303 261 305
-305 40 304 262 306
-306 41 305 263 307
-307 264 308 42 306
-308 1 265 43 307
0

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