C4graphGraph forms for C4 [ 353, 1 ] = C_353(1,42)

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On this page are computer-accessible forms for the graph C4[ 353, 1 ] = C_353(1,42).

(I) Following is a form readable by MAGMA:

g:=Graph<353|{ {2, 3}, {352, 353}, {350, 351}, {348, 349}, {346, 347}, {344, 345}, {342, 343}, {340, 341}, {338, 339}, {336, 337}, {334, 335}, {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}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {146, 147}, {144, 145}, {142, 143}, {140, 141}, {138, 139}, {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}, {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}, {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}, {1, 2}, {349, 350}, {345, 346}, {341, 342}, {337, 338}, {333, 334}, {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}, {153, 154}, {149, 150}, {145, 146}, {141, 142}, {137, 138}, {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}, {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}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {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}, {265, 266}, {269, 270}, {273, 274}, {277, 278}, {3, 4}, {347, 348}, {339, 340}, {331, 332}, {323, 324}, {315, 316}, {307, 308}, {299, 300}, {291, 292}, {283, 284}, {155, 156}, {147, 148}, {139, 140}, {131, 132}, {123, 124}, {115, 116}, {107, 108}, {99, 100}, {91, 92}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {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}, {267, 268}, {275, 276}, {7, 8}, {343, 344}, {327, 328}, {311, 312}, {295, 296}, {279, 280}, {151, 152}, {135, 136}, {119, 120}, {103, 104}, {87, 88}, {23, 24}, {39, 40}, {55, 56}, {71, 72}, {167, 168}, {183, 184}, {199, 200}, {215, 216}, {231, 232}, {247, 248}, {263, 264}, {15, 16}, {335, 336}, {303, 304}, {143, 144}, {111, 112}, {47, 48}, {79, 80}, {175, 176}, {207, 208}, {239, 240}, {271, 272}, {1, 43}, {277, 319}, {149, 191}, {148, 190}, {145, 187}, {144, 186}, {133, 175}, {132, 174}, {129, 171}, {128, 170}, {85, 127}, {4, 46}, {5, 47}, {16, 58}, {17, 59}, {20, 62}, {21, 63}, {64, 106}, {65, 107}, {68, 110}, {69, 111}, {80, 122}, {81, 123}, {84, 126}, {192, 234}, {193, 235}, {196, 238}, {197, 239}, {208, 250}, {209, 251}, {212, 254}, {213, 255}, {256, 298}, {257, 299}, {260, 302}, {261, 303}, {272, 314}, {273, 315}, {276, 318}, {2, 44}, {147, 189}, {146, 188}, {131, 173}, {130, 172}, {3, 45}, {18, 60}, {19, 61}, {66, 108}, {67, 109}, {82, 124}, {83, 125}, {194, 236}, {195, 237}, {210, 252}, {211, 253}, {258, 300}, {259, 301}, {274, 316}, {275, 317}, {6, 48}, {143, 185}, {142, 184}, {135, 177}, {134, 176}, {7, 49}, {14, 56}, {15, 57}, {70, 112}, {71, 113}, {78, 120}, {79, 121}, {198, 240}, {199, 241}, {206, 248}, {207, 249}, {262, 304}, {263, 305}, {270, 312}, {271, 313}, {8, 50}, {141, 183}, {140, 182}, {137, 179}, {136, 178}, {9, 51}, {12, 54}, {13, 55}, {72, 114}, {73, 115}, {76, 118}, {77, 119}, {200, 242}, {201, 243}, {204, 246}, {205, 247}, {264, 306}, {265, 307}, {268, 310}, {269, 311}, {10, 52}, {139, 181}, {138, 180}, {11, 53}, {74, 116}, {75, 117}, {202, 244}, {203, 245}, {266, 308}, {267, 309}, {31, 32}, {351, 352}, {287, 288}, {95, 96}, {159, 160}, {223, 224}, {22, 64}, {311, 353}, {310, 352}, {287, 329}, {286, 328}, {279, 321}, {278, 320}, {151, 193}, {150, 192}, {23, 65}, {30, 72}, {31, 73}, {54, 96}, {55, 97}, {62, 104}, {63, 105}, {158, 200}, {159, 201}, {182, 224}, {183, 225}, {190, 232}, {191, 233}, {24, 66}, {285, 327}, {284, 326}, {281, 323}, {280, 322}, {153, 195}, {152, 194}, {25, 67}, {28, 70}, {29, 71}, {56, 98}, {57, 99}, {60, 102}, {61, 103}, {156, 198}, {157, 199}, {184, 226}, {185, 227}, {188, 230}, {189, 231}, {26, 68}, {283, 325}, {282, 324}, {155, 197}, {154, 196}, {27, 69}, {58, 100}, {59, 101}, {186, 228}, {187, 229}, {32, 74}, {309, 351}, {308, 350}, {305, 347}, {304, 346}, {293, 335}, {292, 334}, {289, 331}, {288, 330}, {33, 75}, {36, 78}, {37, 79}, {48, 90}, {49, 91}, {52, 94}, {53, 95}, {160, 202}, {161, 203}, {164, 206}, {165, 207}, {176, 218}, {177, 219}, {180, 222}, {181, 223}, {34, 76}, {307, 349}, {306, 348}, {291, 333}, {290, 332}, {35, 77}, {50, 92}, {51, 93}, {162, 204}, {163, 205}, {178, 220}, {179, 221}, {38, 80}, {303, 345}, {302, 344}, {295, 337}, {294, 336}, {39, 81}, {46, 88}, {47, 89}, {166, 208}, {167, 209}, {174, 216}, {175, 217}, {40, 82}, {301, 343}, {300, 342}, {297, 339}, {296, 338}, {41, 83}, {44, 86}, {45, 87}, {168, 210}, {169, 211}, {172, 214}, {173, 215}, {42, 84}, {299, 341}, {298, 340}, {43, 85}, {170, 212}, {171, 213}, {63, 64}, {319, 320}, {191, 192}, {86, 128}, {127, 169}, {126, 168}, {119, 161}, {118, 160}, {95, 137}, {94, 136}, {87, 129}, {88, 130}, {125, 167}, {124, 166}, {121, 163}, {120, 162}, {93, 135}, {92, 134}, {89, 131}, {90, 132}, {123, 165}, {122, 164}, {91, 133}, {96, 138}, {117, 159}, {116, 158}, {113, 155}, {112, 154}, {101, 143}, {100, 142}, {97, 139}, {98, 140}, {115, 157}, {114, 156}, {99, 141}, {102, 144}, {111, 153}, {110, 152}, {103, 145}, {104, 146}, {109, 151}, {108, 150}, {105, 147}, {106, 148}, {107, 149}, {127, 128}, {8, 319}, {1, 312}, {3, 314}, {5, 316}, {7, 318}, {2, 313}, {6, 317}, {4, 315}, {9, 320}, {11, 322}, {13, 324}, {15, 326}, {25, 336}, {27, 338}, {29, 340}, {31, 342}, {41, 352}, {10, 321}, {14, 325}, {26, 337}, {30, 341}, {42, 353}, {12, 323}, {28, 339}, {16, 327}, {24, 335}, {17, 328}, {19, 330}, {21, 332}, {23, 334}, {18, 329}, {22, 333}, {20, 331}, {1, 353}, {32, 343}, {40, 351}, {33, 344}, {35, 346}, {37, 348}, {39, 350}, {34, 345}, {38, 349}, {36, 347}, {214, 256}, {215, 257}, {222, 264}, {223, 265}, {246, 288}, {247, 289}, {254, 296}, {255, 297}, {216, 258}, {217, 259}, {220, 262}, {221, 263}, {248, 290}, {249, 291}, {252, 294}, {253, 295}, {218, 260}, {219, 261}, {250, 292}, {251, 293}, {224, 266}, {225, 267}, {228, 270}, {229, 271}, {240, 282}, {241, 283}, {244, 286}, {245, 287}, {226, 268}, {227, 269}, {242, 284}, {243, 285}, {230, 272}, {231, 273}, {238, 280}, {239, 281}, {232, 274}, {233, 275}, {236, 278}, {237, 279}, {234, 276}, {235, 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: (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, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353)
b: (2, 43, 353, 312)(3, 85, 352, 270)(4, 127, 351, 228)(5, 169, 350, 186)(6, 211, 349, 144)(7, 253, 348, 102)(8, 295, 347, 60)(9, 337, 346, 18)(10, 26, 345, 329)(11, 68, 344, 287)(12, 110, 343, 245)(13, 152, 342, 203)(14, 194, 341, 161)(15, 236, 340, 119)(16, 278, 339, 77)(17, 320, 338, 35)(19, 51, 336, 304)(20, 93, 335, 262)(21, 135, 334, 220)(22, 177, 333, 178)(23, 219, 332, 136)(24, 261, 331, 94)(25, 303, 330, 52)(27, 34, 328, 321)(28, 76, 327, 279)(29, 118, 326, 237)(30, 160, 325, 195)(31, 202, 324, 153)(32, 244, 323, 111)(33, 286, 322, 69)(36, 59, 319, 296)(37, 101, 318, 254)(38, 143, 317, 212)(39, 185, 316, 170)(40, 227, 315, 128)(41, 269, 314, 86)(42, 311, 313, 44)(45, 84, 310, 271)(46, 126, 309, 229)(47, 168, 308, 187)(48, 210, 307, 145)(49, 252, 306, 103)(50, 294, 305, 61)(53, 67, 302, 288)(54, 109, 301, 246)(55, 151, 300, 204)(56, 193, 299, 162)(57, 235, 298, 120)(58, 277, 297, 78)(62, 92, 293, 263)(63, 134, 292, 221)(64, 176, 291, 179)(65, 218, 290, 137)(66, 260, 289, 95)(70, 75, 285, 280)(71, 117, 284, 238)(72, 159, 283, 196)(73, 201, 282, 154)(74, 243, 281, 112)(79, 100, 276, 255)(80, 142, 275, 213)(81, 184, 274, 171)(82, 226, 273, 129)(83, 268, 272, 87)(88, 125, 267, 230)(89, 167, 266, 188)(90, 209, 265, 146)(91, 251, 264, 104)(96, 108, 259, 247)(97, 150, 258, 205)(98, 192, 257, 163)(99, 234, 256, 121)(105, 133, 250, 222)(106, 175, 249, 180)(107, 217, 248, 138)(113, 116, 242, 239)(114, 158, 241, 197)(115, 200, 240, 155)(122, 141, 233, 214)(123, 183, 232, 172)(124, 225, 231, 130)(131, 166, 224, 189)(132, 208, 223, 147)(139, 149, 216, 206)(140, 191, 215, 164)(148, 174, 207, 181)(156, 157, 199, 198)(165, 182, 190, 173)

(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[ 353, 1 ]
353
-1 353 2 312 43
-2 44 1 3 313
-3 45 2 4 314
-4 46 3 5 315
-5 47 4 6 316
-6 48 5 7 317
-7 49 6 8 318
-8 319 50 7 9
-9 320 51 8 10
-10 11 321 52 9
-11 12 322 53 10
-12 11 13 323 54
-13 55 12 14 324
-14 56 13 15 325
-15 57 14 16 326
-16 58 15 17 327
-17 59 16 18 328
-18 60 17 19 329
-19 330 61 18 20
-20 331 62 19 21
-21 22 332 63 20
-22 23 333 64 21
-23 22 24 334 65
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-26 68 25 27 337
-27 69 26 28 338
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-353 352 1 311 42
0

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