C4graphGraph forms for C4 [ 304, 2 ] = C_304(1,39)

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On this page are computer-accessible forms for the graph C4[ 304, 2 ] = C_304(1,39).

(I) Following is a form readable by MAGMA:

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

(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[ 304, 2 ]
304
-1 2 266 40 304
-2 1 3 267 41
-3 2 4 268 42
-4 3 5 269 43
-5 44 4 6 270
-6 45 5 7 271
-7 46 6 8 272
-8 47 7 9 273
-9 48 8 10 274
-10 11 275 49 9
-11 12 276 50 10
-12 11 13 277 51
-13 12 14 278 52
-14 13 15 279 53
-15 14 16 280 54
-16 55 15 17 281
-17 56 16 18 282
-18 57 17 19 283
-19 58 18 20 284
-20 59 19 21 285
-21 22 286 60 20
-22 23 287 61 21
-23 22 24 288 62
-24 23 25 289 63
-25 24 26 290 64
-26 25 27 291 65
-27 66 26 28 292
-28 67 27 29 293
-29 68 28 30 294
-30 69 29 31 295
-31 70 30 32 296
-32 33 297 71 31
-33 34 298 72 32
-34 33 35 299 73
-35 34 36 300 74
-36 35 37 301 75
-37 36 38 302 76
-38 77 37 39 303
-39 78 38 40 304
-40 1 79 39 41
-41 2 80 40 42
-42 3 81 41 43
-43 44 4 82 42
-44 45 5 83 43
-45 44 46 6 84
-46 45 47 7 85
-47 46 48 8 86
-48 47 49 9 87
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-51 12 90 50 52
-52 13 91 51 53
-53 14 92 52 54
-54 55 15 93 53
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-58 57 59 19 97
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-303 264 38 302 304
-304 1 265 39 303
0

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