C4graphGraph forms for C4 [ 504, 115 ] = UG(ATD[504,209])

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On this page are computer-accessible forms for the graph C4[ 504, 115 ] = UG(ATD[504,209]).

(I) Following is a form readable by MAGMA:

g:=Graph<504|{ {34, 35}, {412, 413}, {106, 107}, {92, 93}, {40, 41}, {360, 362}, {1, 2}, {13, 14}, {1, 5}, {105, 109}, {91, 95}, {3, 7}, {2, 6}, {240, 244}, {41, 44}, {370, 375}, {107, 110}, {176, 181}, {209, 212}, {218, 223}, {42, 45}, {474, 477}, {329, 334}, {187, 188}, {210, 213}, {224, 231}, {103, 111}, {421, 429}, {311, 318}, {368, 377}, {336, 345}, {449, 459}, {230, 237}, {450, 457}, {369, 378}, {247, 252}, {4, 8}, {467, 479}, {39, 43}, {198, 202}, {2, 15}, {358, 363}, {213, 218}, {5, 20}, {419, 434}, {39, 54}, {329, 347}, {396, 414}, {3, 16}, {385, 402}, {175, 188}, {11, 24}, {7, 20}, {384, 404}, {4, 17}, {12, 25}, {6, 19}, {103, 113}, {454, 464}, {5, 18}, {495, 504}, {399, 408}, {332, 347}, {13, 26}, {12, 27}, {268, 283}, {15, 22}, {104, 114}, {398, 404}, {330, 336}, {110, 116}, {238, 244}, {193, 218}, {200, 212}, {8, 21}, {167, 186}, {10, 23}, {109, 115}, {460, 466}, {9, 22}, {322, 349}, {201, 233}, {337, 369}, {349, 380}, {456, 489}, {78, 108}, {393, 427}, {329, 362}, {335, 364}, {205, 233}, {468, 496}, {24, 61}, {458, 495}, {26, 63}, {16, 54}, {399, 425}, {335, 361}, {151, 177}, {17, 55}, {268, 298}, {25, 62}, {348, 379}, {130, 165}, {274, 309}, {6, 46}, {451, 491}, {7, 47}, {207, 231}, {132, 173}, {18, 56}, {402, 440}, {326, 364}, {73, 99}, {19, 57}, {204, 230}, {23, 60}, {26, 49}, {198, 237}, {16, 60}, {327, 363}, {17, 61}, {203, 231}, {258, 302}, {321, 364}, {20, 58}, {74, 100}, {21, 59}, {192, 238}, {335, 352}, {461, 482}, {276, 292}, {453, 501}, {16, 33}, {322, 371}, {80, 99}, {348, 367}, {141, 190}, {274, 289}, {75, 127}, {451, 503}, {448, 500}, {393, 445}, {346, 366}, {220, 232}, {221, 233}, {15, 58}, {470, 483}, {453, 496}, {340, 353}, {81, 102}, {470, 481}, {88, 111}, {221, 234}, {8, 48}, {72, 112}, {70, 126}, {10, 50}, {9, 49}, {215, 238}, {469, 492}, {223, 230}, {11, 49}, {459, 497}, {398, 436}, {346, 352}, {157, 167}, {87, 109}, {15, 53}, {14, 52}, {222, 229}, {409, 418}, {76, 113}, {459, 502}, {456, 501}, {324, 377}, {93, 96}, {13, 51}, {461, 499}, {94, 97}, {469, 490}, {431, 495}, {191, 254}, {293, 356}, {146, 208}, {437, 503}, {415, 477}, {394, 456}, {63, 124}, {133, 198}, {271, 331}, {412, 472}, {256, 325}, {305, 374}, {447, 504}, {129, 200}, {271, 325}, {420, 494}, {397, 455}, {313, 371}, {171, 224}, {447, 499}, {169, 228}, {410, 471}, {298, 359}, {187, 246}, {159, 209}, {419, 493}, {270, 320}, {172, 227}, {37, 117}, {422, 502}, {416, 496}, {185, 235}, {403, 449}, {190, 236}, {422, 498}, {36, 113}, {420, 497}, {168, 253}, {391, 465}, {257, 342}, {394, 477}, {396, 468}, {401, 457}, {389, 476}, {437, 492}, {31, 69}, {384, 474}, {285, 327}, {27, 64}, {443, 480}, {31, 68}, {185, 226}, {185, 229}, {443, 487}, {28, 65}, {407, 458}, {34, 127}, {30, 67}, {386, 476}, {29, 66}, {152, 248}, {279, 375}, {158, 255}, {417, 448}, {287, 381}, {28, 127}, {436, 471}, {398, 493}, {390, 485}, {313, 346}, {131, 224}, {40, 75}, {283, 376}, {18, 118}, {400, 500}, {384, 484}, {129, 229}, {24, 124}, {19, 119}, {27, 126}, {129, 228}, {34, 71}, {32, 69}, {42, 76}, {133, 227}, {177, 215}, {286, 376}, {26, 125}, {405, 498}, {33, 70}, {37, 77}, {432, 472}, {38, 78}, {25, 112}, {423, 462}, {389, 492}, {386, 491}, {171, 194}, {27, 114}, {275, 377}, {50, 89}, {168, 195}, {178, 217}, {188, 215}, {20, 120}, {397, 481}, {165, 201}, {38, 74}, {37, 73}, {36, 72}, {23, 123}, {22, 122}, {21, 121}, {47, 66}, {134, 232}, {189, 211}, {30, 113}, {416, 463}, {391, 488}, {46, 65}, {290, 338}, {274, 352}, {48, 67}, {160, 211}, {52, 71}, {259, 368}, {260, 375}, {277, 358}, {442, 462}, {43, 94}, {423, 466}, {45, 91}, {400, 486}, {142, 248}, {265, 383}, {150, 225}, {413, 490}, {408, 495}, {174, 214}, {269, 372}, {34, 88}, {191, 196}, {405, 494}, {306, 334}, {430, 466}, {174, 211}, {294, 347}, {186, 197}, {314, 325}, {263, 376}, {315, 443}, {316, 444}, {312, 441}, {328, 457}, {309, 439}, {350, 476}, {319, 445}, {318, 444}, {118, 245}, {306, 433}, {265, 397}, {349, 473}, {282, 414}, {93, 216}, {307, 438}, {304, 437}, {296, 429}, {356, 482}, {98, 234}, {81, 216}, {319, 438}, {269, 391}, {331, 448}, {99, 239}, {357, 489}, {285, 400}, {288, 430}, {310, 440}, {289, 431}, {321, 462}, {359, 488}, {93, 205}, {324, 469}, {344, 457}, {342, 455}, {336, 449}, {64, 210}, {291, 432}, {287, 395}, {345, 461}, {323, 471}, {101, 240}, {383, 490}, {295, 434}, {316, 426}, {338, 452}, {318, 424}, {294, 433}, {67, 219}, {299, 435}, {121, 225}, {72, 209}, {291, 442}, {302, 436}, {342, 460}, {51, 168}, {370, 489}, {351, 452}, {331, 464}, {300, 432}, {29, 128}, {341, 459}, {264, 407}, {343, 456}, {314, 410}, {354, 450}, {32, 129}, {256, 417}, {19, 177}, {126, 220}, {35, 128}, {371, 464}, {257, 418}, {373, 465}, {39, 130}, {374, 467}, {78, 235}, {48, 150}, {364, 458}, {261, 419}, {47, 136}, {320, 487}, {117, 210}, {77, 234}, {63, 152}, {55, 144}, {40, 128}, {51, 155}, {50, 154}, {270, 422}, {46, 135}, {62, 151}, {60, 149}, {58, 147}, {56, 145}, {53, 156}, {268, 421}, {44, 134}, {365, 455}, {40, 131}, {301, 390}, {61, 150}, {57, 146}, {54, 157}, {41, 132}, {294, 392}, {42, 133}, {59, 148}, {267, 420}, {284, 428}, {106, 216}, {317, 399}, {281, 427}, {286, 429}, {311, 386}, {273, 423}, {277, 418}, {50, 138}, {71, 255}, {65, 249}, {48, 137}, {379, 450}, {80, 233}, {68, 253}, {54, 143}, {52, 141}, {256, 441}, {47, 149}, {338, 488}, {49, 139}, {282, 416}, {53, 142}, {69, 254}, {64, 251}, {280, 419}, {86, 234}, {276, 424}, {46, 147}, {370, 463}, {355, 478}, {279, 426}, {371, 461}, {51, 140}, {353, 478}, {308, 395}, {67, 252}, {278, 425}, {285, 418}, {339, 403}, {361, 425}, {351, 415}, {288, 481}, {366, 431}, {343, 405}, {373, 439}, {289, 482}, {53, 241}, {55, 242}, {63, 250}, {61, 248}, {112, 182}, {367, 425}, {361, 431}, {281, 479}, {62, 249}, {126, 182}, {379, 435}, {299, 483}, {279, 478}, {100, 174}, {276, 478}, {56, 243}, {368, 443}, {100, 175}, {60, 247}, {267, 448}, {275, 472}, {98, 174}, {347, 407}, {286, 466}, {57, 244}, {59, 246}, {115, 189}, {58, 245}, {357, 426}, {68, 139}, {73, 153}, {76, 159}, {100, 183}, {101, 177}, {358, 434}, {278, 450}, {17, 196}, {381, 424}, {305, 484}, {119, 162}, {75, 158}, {74, 156}, {369, 423}, {350, 392}, {284, 458}, {118, 161}, {306, 485}, {121, 161}, {281, 449}, {283, 451}, {64, 153}, {367, 438}, {366, 439}, {360, 433}, {314, 483}, {108, 181}, {73, 144}, {92, 134}, {339, 393}, {328, 402}, {125, 167}, {124, 166}, {105, 179}, {28, 199}, {120, 163}, {280, 451}, {71, 155}, {101, 184}, {25, 199}, {341, 395}, {312, 486}, {123, 165}, {122, 164}, {106, 180}, {69, 154}, {102, 185}, {332, 428}, {382, 414}, {333, 429}, {70, 167}, {41, 203}, {104, 138}, {82, 176}, {354, 385}, {66, 170}, {90, 178}, {383, 406}, {307, 479}, {77, 160}, {368, 413}, {2, 236}, {94, 176}, {79, 161}, {103, 136}, {310, 454}, {84, 165}, {309, 452}, {92, 173}, {80, 162}, {333, 447}, {332, 446}, {94, 172}, {89, 171}, {81, 163}, {82, 161}, {124, 143}, {90, 169}, {85, 166}, {301, 473}, {365, 409}, {293, 464}, {304, 453}, {302, 475}, {83, 164}, {91, 172}, {352, 408}, {380, 388}, {355, 411}, {52, 206}, {284, 480}, {295, 475}, {293, 473}, {345, 420}, {380, 385}, {62, 192}, {344, 422}, {321, 447}, {320, 446}, {315, 453}, {87, 169}, {86, 168}, {65, 190}, {290, 477}, {99, 358}, {21, 275}, {110, 359}, {239, 485}, {196, 463}, {140, 384}, {101, 360}, {143, 386}, {142, 385}, {215, 472}, {149, 389}, {155, 395}, {154, 394}, {153, 393}, {152, 392}, {151, 391}, {150, 390}, {44, 317}, {145, 387}, {159, 397}, {158, 396}, {199, 465}, {147, 388}, {148, 387}, {157, 389}, {68, 351}, {235, 502}, {116, 340}, {200, 488}, {196, 485}, {237, 460}, {173, 399}, {179, 400}, {201, 493}, {180, 401}, {183, 402}, {194, 487}, {72, 366}, {195, 484}, {56, 272}, {74, 354}, {208, 504}, {4, 301}, {70, 367}, {186, 403}, {79, 357}, {59, 272}, {203, 480}, {79, 353}, {160, 398}, {82, 381}, {82, 355}, {81, 354}, {197, 497}, {239, 475}, {207, 504}, {206, 502}, {219, 482}, {14, 308}, {200, 498}, {201, 503}, {204, 499}, {238, 465}, {210, 403}, {193, 387}, {247, 437}, {83, 277}, {245, 435}, {42, 365}, {237, 421}, {221, 404}, {96, 298}, {75, 256}, {123, 304}, {79, 260}, {222, 405}, {125, 305}, {76, 257}, {78, 259}, {219, 406}, {77, 258}, {18, 323}, {84, 263}, {120, 299}, {80, 261}, {122, 303}, {83, 262}, {235, 446}, {92, 261}, {95, 262}, {193, 411}, {251, 416}, {146, 462}, {55, 362}, {85, 264}, {119, 297}, {194, 412}, {91, 260}, {104, 266}, {119, 277}, {118, 276}, {112, 274}, {109, 271}, {108, 270}, {105, 267}, {123, 280}, {207, 428}, {108, 264}, {125, 281}, {202, 430}, {127, 282}, {250, 415}, {5, 355}, {107, 269}, {106, 268}, {214, 432}, {96, 263}, {116, 275}, {249, 414}, {241, 409}, {243, 411}, {8, 353}, {97, 264}, {186, 467}, {243, 410}, {253, 404}, {22, 380}, {246, 412}, {247, 413}, {88, 308}, {107, 263}, {6, 363}, {103, 265}, {121, 279}, {120, 278}, {197, 427}, {214, 440}, {245, 411}, {105, 262}, {202, 442}, {231, 407}, {232, 408}, {203, 441}, {242, 390}, {241, 388}, {57, 334}, {225, 406}, {253, 394}, {39, 350}, {195, 442}, {122, 257}, {7, 379}, {11, 374}, {110, 272}, {111, 273}, {213, 427}, {205, 434}, {207, 335}, {216, 344}, {217, 345}, {242, 370}, {208, 337}, {219, 346}, {132, 262}, {193, 323}, {11, 392}, {206, 330}, {1, 388}, {162, 295}, {239, 362}, {194, 324}, {29, 410}, {180, 317}, {182, 319}, {254, 375}, {204, 326}, {178, 313}, {181, 318}, {212, 351}, {86, 474}, {175, 291}, {222, 338}, {223, 339}, {249, 373}, {250, 374}, {128, 271}, {179, 316}, {197, 330}, {9, 409}, {138, 282}, {45, 444}, {4, 406}, {223, 333}, {236, 382}, {66, 470}, {102, 498}, {176, 292}, {217, 333}, {173, 312}, {9, 415}, {160, 310}, {208, 326}, {43, 444}, {187, 300}, {135, 287}, {211, 331}, {130, 283}, {148, 269}, {132, 285}, {175, 310}, {35, 441}, {133, 286}, {172, 311}, {202, 337}, {240, 363}, {38, 440}, {230, 376}, {131, 284}, {217, 326}, {212, 372}, {144, 306}, {246, 340}, {87, 500}, {135, 292}, {98, 454}, {139, 303}, {192, 359}, {136, 288}, {171, 259}, {170, 258}, {137, 289}, {226, 330}, {89, 496}, {143, 294}, {141, 292}, {139, 290}, {90, 499}, {254, 343}, {154, 304}, {159, 309}, {158, 308}, {155, 305}, {222, 372}, {90, 497}, {142, 293}, {95, 500}, {214, 378}, {117, 475}, {157, 307}, {35, 396}, {140, 291}, {137, 313}, {138, 315}, {180, 261}, {1, 435}, {136, 314}, {228, 343}, {183, 259}, {192, 372}, {232, 348}, {83, 486}, {152, 301}, {130, 311}, {115, 454}, {191, 266}, {225, 340}, {227, 342}, {144, 295}, {153, 302}, {179, 260}, {226, 341}, {252, 324}, {87, 494}, {145, 296}, {111, 470}, {89, 480}, {195, 378}, {199, 382}, {12, 438}, {147, 297}, {248, 322}, {12, 439}, {151, 300}, {131, 312}, {86, 493}, {29, 417}, {104, 468}, {114, 463}, {229, 344}, {148, 298}, {149, 299}, {84, 491}, {43, 491}, {24, 473}, {156, 349}, {38, 487}, {23, 469}, {145, 339}, {187, 377}, {182, 373}, {190, 381}, {251, 319}, {31, 474}, {221, 280}, {236, 297}, {188, 378}, {28, 468}, {117, 445}, {32, 489}, {164, 365}, {97, 424}, {44, 486}, {218, 272}, {220, 278}, {32, 494}, {114, 445}, {206, 287}, {115, 417}, {156, 328}, {250, 303}, {98, 436}, {178, 356}, {198, 273}, {141, 341}, {244, 300}, {189, 356}, {240, 297}, {191, 357}, {224, 315}, {13, 467}, {241, 303}, {97, 446}, {227, 316}, {255, 288}, {3, 483}, {36, 452}, {45, 460}, {36, 455}, {164, 327}, {85, 433}, {204, 296}, {162, 327}, {170, 323}, {184, 337}, {14, 484}, {31, 501}, {163, 328}, {226, 270}, {255, 273}, {3, 492}, {170, 325}, {166, 329}, {134, 361}, {220, 307}, {228, 267}, {205, 317}, {84, 421}, {96, 401}, {243, 258}, {251, 266}, {37, 471}, {209, 290}, {30, 490}, {95, 426}, {252, 265}, {88, 430}, {137, 383}, {184, 334}, {102, 401}, {116, 387}, {183, 320}, {166, 350}, {242, 266}, {85, 428}, {169, 336}, {135, 382}, {181, 332}, {184, 321}, {146, 360}, {10, 503}, {140, 369}, {33, 476}, {213, 296}, {33, 479}, {10, 501}, {163, 348}, {30, 481}, {189, 322} }>;

(II) A more general form is to represent the graph as the orbit of {34, 35} under the group generated by the following permutations:

a: (2, 388)(3, 193)(4, 12)(5, 435)(6, 241)(7, 411)(8, 438)(9, 240)(10, 204)(11, 238)(13, 432)(14, 214)(15, 147)(16, 387)(17, 439)(18, 299)(19, 303)(20, 245)(21, 307)(22, 297)(23, 296)(24, 465)(25, 301)(26, 300)(27, 406)(28, 293)(30, 117)(31, 208)(32, 207)(33, 116)(34, 454)(35, 115)(36, 239)(37, 481)(38, 206)(39, 298)(40, 448)(41, 500)(42, 434)(43, 96)(44, 95)(45, 205)(46, 53)(47, 243)(48, 319)(49, 244)(50, 499)(51, 291)(52, 440)(54, 148)(55, 309)(56, 149)(57, 139)(59, 157)(60, 145)(61, 373)(62, 152)(63, 151)(64, 383)(65, 142)(66, 410)(67, 445)(68, 146)(69, 504)(70, 340)(71, 310)(72, 485)(73, 397)(74, 287)(75, 331)(76, 295)(77, 288)(78, 502)(79, 425)(80, 342)(81, 424)(82, 450)(85, 200)(86, 202)(87, 203)(88, 98)(89, 90)(91, 317)(92, 316)(93, 444)(94, 401)(97, 102)(99, 455)(100, 395)(101, 415)(103, 302)(104, 482)(105, 312)(106, 311)(107, 386)(108, 422)(109, 441)(110, 476)(111, 436)(112, 390)(113, 475)(114, 219)(118, 120)(119, 122)(121, 220)(123, 429)(124, 391)(125, 187)(126, 225)(127, 464)(128, 417)(129, 428)(130, 268)(131, 267)(132, 400)(133, 419)(134, 426)(135, 156)(136, 258)(137, 251)(138, 461)(141, 402)(143, 269)(144, 159)(150, 182)(153, 265)(154, 447)(155, 175)(158, 211)(160, 255)(161, 278)(162, 257)(163, 276)(164, 277)(165, 421)(166, 488)(167, 246)(168, 442)(169, 480)(170, 314)(171, 497)(172, 180)(173, 179)(174, 308)(176, 457)(177, 250)(178, 496)(181, 344)(183, 341)(184, 477)(185, 446)(186, 412)(188, 305)(189, 396)(190, 385)(191, 431)(192, 392)(194, 197)(196, 366)(198, 493)(199, 473)(201, 237)(209, 306)(210, 490)(212, 433)(213, 469)(215, 374)(216, 318)(217, 453)(218, 492)(221, 466)(222, 347)(223, 437)(224, 420)(226, 320)(227, 261)(228, 284)(229, 332)(230, 503)(231, 494)(232, 279)(233, 460)(234, 430)(236, 380)(242, 274)(247, 339)(248, 249)(252, 393)(253, 462)(254, 495)(256, 271)(259, 459)(260, 399)(262, 486)(263, 491)(264, 498)(266, 289)(272, 389)(273, 398)(275, 479)(280, 286)(281, 377)(282, 371)(290, 334)(292, 328)(294, 372)(304, 333)(313, 416)(315, 345)(321, 394)(322, 414)(323, 483)(324, 427)(326, 501)(327, 418)(329, 338)(330, 487)(335, 489)(336, 443)(337, 474)(343, 458)(346, 463)(348, 478)(349, 382)(350, 359)(351, 360)(352, 370)(353, 367)(354, 381)(355, 379)(356, 468)(357, 361)(358, 365)(362, 452)(363, 409)(364, 456)(368, 449)(369, 384)(375, 408)(376, 451)(378, 484)(403, 413)(404, 423)(405, 407)(467, 472)(470, 471)
b: (1, 2, 15, 58, 147, 388)(3, 28, 139, 149, 414, 415)(4, 37, 188, 150, 302, 432)(5, 6, 53, 245, 297, 380)(7, 65, 303, 299, 382, 9)(8, 73, 175, 225, 475, 214)(10, 50, 154, 304, 453, 501)(11, 66, 62, 63, 314, 465)(12, 13, 103, 182, 305, 481)(14, 113, 126, 155, 397, 438)(16, 127, 290, 389, 396, 351)(17, 77, 187, 390, 436, 472)(18, 19, 142, 411, 240, 349)(20, 46, 241, 435, 236, 22)(21, 144, 310, 340, 239, 174)(23, 138, 394, 437, 496, 31)(24, 170, 151, 152, 410, 238)(25, 26, 136, 373, 374, 470)(27, 51, 265, 319, 484, 30)(29, 192, 124, 325, 391, 392)(32, 165, 224, 343, 451, 480)(33, 34, 209, 157, 158, 452)(35, 212, 54, 75, 338, 476)(36, 70, 71, 159, 307, 308)(38, 79, 80, 183, 279, 434)(39, 40, 222, 386, 441, 200)(41, 229, 311, 312, 498, 43)(42, 232, 341, 342, 425, 206)(44, 185, 172, 173, 422, 444)(45, 134, 226, 227, 399, 502)(47, 249, 250, 483, 199, 49)(48, 153, 291, 406, 117, 378)(52, 76, 220, 395, 455, 367)(55, 160, 246, 485, 98, 275)(56, 57, 293, 193, 101, 322)(59, 306, 454, 116, 362, 211)(60, 282, 477, 492, 468, 68)(61, 258, 300, 301, 471, 215)(64, 140, 383, 445, 195, 67)(69, 123, 315, 456, 503, 89)(72, 167, 255, 309, 479, 88)(74, 161, 162, 402, 478, 358)(78, 260, 261, 320, 426, 205)(81, 176, 285, 457, 424, 83)(82, 327, 328, 276, 277, 354)(84, 231, 228, 283, 284, 494)(85, 109, 107, 347, 448, 298)(86, 324, 266, 404, 413, 463)(87, 263, 407, 267, 268, 428)(90, 230, 364, 345, 429, 504)(91, 92, 270, 316, 317, 235)(93, 108, 179, 180, 446, 95)(94, 132, 344, 318, 486, 102)(96, 264, 105, 106, 332, 500)(97, 262, 216, 181, 400, 401)(99, 100, 121, 295, 440, 353)(104, 253, 247, 416, 474, 469)(110, 329, 331, 148, 433, 115)(111, 112, 125, 288, 439, 467)(114, 168, 252, 251, 384, 490)(118, 119, 385, 355, 363, 156)(120, 135, 409, 379, 190, 122)(128, 372, 143, 256, 488, 350)(129, 130, 131, 405, 491, 203)(133, 408, 459, 460, 361, 330)(137, 393, 442, 219, 210, 369)(141, 257, 278, 287, 365, 348)(145, 146, 356, 218, 184, 371)(163, 292, 418, 450, 381, 164)(166, 271, 269, 294, 417, 359)(169, 376, 458, 420, 421, 207)(171, 254, 280, 443, 489, 201)(177, 248, 243, 244, 473, 323)(178, 223, 321, 461, 296, 208)(186, 273, 274, 281, 430, 366)(189, 272, 334, 464, 387, 360)(191, 221, 368, 370, 493, 194)(196, 234, 377, 242, 398, 412)(197, 198, 352, 449, 466, 431)(202, 346, 403, 423, 289, 427)(204, 326, 217, 333, 447, 499)(213, 337, 313, 339, 462, 482)(233, 259, 375, 419, 487, 357)(237, 335, 336, 286, 495, 497)
c: (2, 5)(3, 9)(4, 12)(6, 18)(7, 22)(8, 25)(10, 31)(11, 33)(13, 39)(14, 43)(15, 20)(16, 49)(17, 27)(19, 56)(21, 62)(23, 68)(24, 70)(26, 54)(28, 79)(29, 83)(30, 36)(32, 89)(34, 91)(35, 95)(37, 99)(38, 102)(40, 105)(41, 109)(42, 111)(44, 115)(45, 88)(46, 118)(47, 122)(48, 112)(50, 69)(51, 130)(52, 94)(53, 120)(55, 64)(57, 145)(59, 151)(60, 139)(61, 126)(63, 157)(65, 161)(66, 164)(67, 72)(71, 172)(74, 81)(75, 179)(76, 103)(77, 80)(78, 185)(82, 190)(84, 195)(85, 197)(86, 201)(87, 203)(90, 207)(92, 211)(93, 174)(96, 214)(97, 206)(98, 205)(100, 216)(101, 218)(104, 191)(106, 175)(107, 188)(108, 226)(110, 215)(114, 196)(116, 238)(117, 239)(119, 243)(121, 249)(123, 253)(124, 167)(125, 143)(127, 260)(128, 262)(129, 171)(131, 267)(132, 271)(133, 273)(134, 189)(135, 276)(136, 257)(137, 274)(138, 254)(140, 283)(141, 176)(142, 278)(144, 153)(146, 296)(147, 245)(148, 300)(149, 303)(150, 182)(152, 307)(155, 311)(156, 163)(158, 316)(159, 265)(160, 261)(162, 258)(165, 168)(166, 186)(169, 231)(170, 327)(173, 331)(177, 272)(178, 335)(180, 310)(181, 341)(183, 344)(184, 223)(187, 269)(192, 275)(193, 240)(194, 200)(199, 353)(202, 237)(204, 208)(209, 252)(210, 362)(212, 324)(213, 360)(217, 364)(219, 366)(220, 248)(222, 368)(224, 228)(225, 373)(227, 255)(229, 259)(230, 337)(232, 322)(233, 234)(236, 355)(241, 299)(242, 251)(244, 387)(246, 391)(247, 290)(250, 389)(256, 400)(263, 378)(264, 330)(268, 291)(277, 410)(279, 414)(280, 404)(281, 294)(282, 375)(284, 420)(285, 325)(286, 423)(287, 424)(288, 342)(293, 425)(295, 302)(297, 411)(298, 432)(301, 438)(304, 394)(305, 386)(306, 393)(308, 444)(309, 383)(312, 448)(313, 352)(314, 418)(315, 343)(317, 454)(318, 395)(319, 390)(320, 422)(321, 333)(323, 363)(329, 403)(332, 459)(334, 339)(336, 407)(338, 413)(340, 465)(345, 458)(347, 449)(348, 349)(350, 467)(351, 469)(356, 361)(357, 468)(358, 471)(359, 472)(365, 470)(367, 473)(369, 376)(370, 416)(371, 408)(372, 377)(374, 476)(379, 380)(382, 478)(384, 451)(385, 450)(388, 435)(392, 479)(396, 426)(398, 419)(399, 464)(401, 440)(402, 457)(405, 443)(406, 439)(409, 483)(412, 488)(415, 492)(417, 486)(421, 442)(427, 433)(428, 497)(429, 462)(430, 460)(431, 482)(434, 436)(437, 477)(441, 500)(445, 485)(446, 502)(452, 490)(453, 456)(455, 481)(461, 495)(474, 503)(480, 494)(484, 491)(487, 498)(489, 496)(499, 504)

(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[ 504, 115 ]
504
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-2 1 15 236 6
-3 16 7 492 483
-4 301 17 8 406
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-6 363 2 46 19
-7 3 47 379 20
-8 353 4 48 21
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-13 14 26 467 51
-14 308 484 13 52
-15 22 2 58 53
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-22 122 15 380 9
-23 123 60 469 10
-24 11 473 124 61
-25 12 199 112 62
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-28 199 127 468 65
-29 66 410 128 417
-30 67 113 490 481
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-32 69 489 129 494
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-34 88 35 71 127
-35 396 34 441 128
-36 452 113 455 72
-37 77 73 117 471
-38 440 78 487 74
-39 130 350 43 54
-40 128 41 75 131
-41 44 132 203 40
-42 45 133 365 76
-43 444 39 94 491
-44 134 486 41 317
-45 91 444 42 460
-46 135 147 6 65
-47 66 136 149 7
-48 67 137 150 8
-49 11 26 139 9
-50 154 89 138 10
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-54 143 157 16 39
-55 242 144 17 362
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-59 246 148 272 21
-60 23 16 247 149
-61 24 17 248 150
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-69 154 254 31 32
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-100 183 74 174 175
-101 177 184 360 240
-102 498 81 401 185
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-110 116 359 107 272
-111 88 103 470 273
-112 25 72 182 274
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-120 299 278 20 163
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-163 81 348 328 120
-164 122 365 83 327
-165 123 201 84 130
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-167 157 70 125 186
-168 253 51 195 86
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-172 91 311 94 227
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-175 100 188 310 291
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-177 101 215 19 151
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-182 319 112 126 373
-183 100 320 259 402
-184 101 321 334 337
-185 102 235 226 229
-186 167 467 403 197
-187 188 300 377 246
-188 187 378 215 175
-189 211 322 356 115
-190 236 381 141 65
-191 254 266 357 196
-192 62 238 359 372
-193 387 323 411 218
-194 487 324 412 171
-195 484 442 168 378
-196 463 485 191 17
-197 330 497 427 186
-198 133 202 237 273
-199 25 465 28 382
-200 212 498 488 129
-201 165 233 503 493
-202 198 430 442 337
-203 231 441 480 41
-204 499 326 230 296
-205 233 93 434 317
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-207 231 335 504 428
-208 146 326 337 504
-209 212 290 159 72
-210 213 117 403 64
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-214 440 432 378 174
-215 177 188 238 472
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-217 178 333 345 326
-218 223 213 193 272
-219 67 346 482 406
-220 232 278 126 307
-221 233 234 280 404
-222 338 229 372 405
-223 333 218 339 230
-224 231 171 315 131
-225 121 150 340 406
-226 330 341 270 185
-227 133 342 172 316
-228 343 267 169 129
-229 222 344 129 185
-230 376 223 204 237
-231 407 224 203 207
-232 220 408 134 348
-233 221 80 201 205
-234 77 221 86 98
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-240 297 363 101 244
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-242 55 266 390 370
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-244 57 300 238 240
-245 58 411 435 118
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-248 322 61 152 142
-249 62 414 65 373
-250 374 303 63 415
-251 319 266 64 416
-252 67 265 247 324
-253 68 168 404 394
-254 375 343 69 191
-255 288 158 71 273
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-258 77 243 170 302
-259 78 368 171 183
-260 375 79 91 179
-261 419 80 92 180
-262 132 83 105 95
-263 376 84 96 107
-264 407 85 97 108
-265 397 103 383 252
-266 242 191 104 251
-267 420 105 228 448
-268 298 421 106 283
-269 148 391 107 372
-270 320 422 226 108
-271 331 325 128 109
-272 110 56 59 218
-273 198 111 255 423
-274 352 309 112 289
-275 377 116 21 472
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-277 418 83 358 119
-278 220 425 120 450
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-280 451 221 419 123
-281 125 479 427 449
-282 127 138 414 416
-283 451 376 268 130
-284 458 480 131 428
-285 132 418 400 327
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-288 430 255 136 481
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-291 442 432 140 175
-292 176 276 135 141
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-295 144 475 434 162
-296 429 145 213 204
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-316 179 444 227 426
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-328 156 402 457 163
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-464 331 454 293 371
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-466 286 430 423 460
-467 374 13 479 186
-468 396 496 104 28
-469 23 324 490 492
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-471 410 37 323 436
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-474 477 31 86 384
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-479 33 467 281 307
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-489 357 456 370 32
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-503 451 201 437 10
-504 495 447 207 208
0

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