C4graphGraph forms for C4 [ 512, 57 ] = PL(SoP(16,8))

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On this page are computer-accessible forms for the graph C4[ 512, 57 ] = PL(SoP(16,8)).

(I) Following is a form readable by MAGMA:

g:=Graph<512|{ {256, 285}, {256, 288}, {256, 505}, {256, 508}, {1, 257}, {237, 493}, {236, 492}, {235, 491}, {226, 482}, {225, 481}, {205, 461}, {109, 365}, {108, 364}, {107, 363}, {98, 354}, {97, 353}, {77, 333}, {2, 258}, {5, 261}, {11, 267}, {12, 268}, {33, 289}, {34, 290}, {43, 299}, {44, 300}, {45, 301}, {65, 321}, {66, 322}, {75, 331}, {76, 332}, {129, 385}, {130, 386}, {139, 395}, {140, 396}, {141, 397}, {161, 417}, {162, 418}, {171, 427}, {172, 428}, {173, 429}, {193, 449}, {194, 450}, {203, 459}, {204, 460}, {4, 261}, {236, 493}, {232, 489}, {108, 365}, {104, 361}, {8, 265}, {40, 297}, {44, 301}, {72, 329}, {76, 333}, {136, 393}, {140, 397}, {168, 425}, {172, 429}, {200, 457}, {204, 461}, {4, 262}, {234, 488}, {232, 490}, {229, 487}, {228, 486}, {106, 360}, {104, 362}, {101, 359}, {100, 358}, {8, 266}, {10, 264}, {13, 271}, {36, 294}, {37, 295}, {40, 298}, {42, 296}, {68, 326}, {69, 327}, {72, 330}, {74, 328}, {132, 390}, {133, 391}, {136, 394}, {138, 392}, {164, 422}, {165, 423}, {168, 426}, {170, 424}, {196, 454}, {197, 455}, {200, 458}, {202, 456}, {1, 258}, {255, 508}, {235, 488}, {229, 486}, {228, 487}, {226, 481}, {225, 482}, {223, 476}, {107, 360}, {101, 358}, {100, 359}, {98, 353}, {97, 354}, {95, 348}, {2, 257}, {5, 262}, {11, 264}, {12, 271}, {31, 284}, {33, 290}, {34, 289}, {36, 295}, {37, 294}, {43, 296}, {63, 316}, {65, 322}, {66, 321}, {68, 327}, {69, 326}, {75, 328}, {127, 380}, {129, 386}, {130, 385}, {132, 391}, {133, 390}, {139, 392}, {159, 412}, {161, 418}, {162, 417}, {164, 423}, {165, 422}, {171, 424}, {191, 444}, {193, 450}, {194, 449}, {196, 455}, {197, 454}, {203, 456}, {22, 274}, {246, 498}, {214, 466}, {118, 370}, {86, 338}, {54, 306}, {150, 402}, {182, 434}, {22, 275}, {246, 499}, {214, 467}, {118, 371}, {86, 339}, {54, 307}, {150, 403}, {182, 435}, {21, 275}, {255, 505}, {245, 499}, {223, 473}, {213, 467}, {117, 371}, {95, 345}, {85, 339}, {31, 281}, {53, 307}, {63, 313}, {127, 377}, {149, 403}, {159, 409}, {181, 435}, {191, 441}, {11, 268}, {245, 498}, {236, 491}, {235, 492}, {213, 466}, {117, 370}, {108, 363}, {107, 364}, {85, 338}, {12, 267}, {21, 274}, {43, 300}, {44, 299}, {53, 306}, {75, 332}, {76, 331}, {139, 396}, {140, 395}, {149, 402}, {171, 428}, {172, 427}, {181, 434}, {203, 460}, {204, 459}, {19, 283}, {243, 507}, {211, 475}, {115, 379}, {83, 347}, {51, 315}, {147, 411}, {179, 443}, {10, 259}, {253, 500}, {243, 506}, {234, 483}, {221, 468}, {211, 474}, {125, 372}, {115, 378}, {106, 355}, {93, 340}, {83, 346}, {19, 282}, {29, 276}, {42, 291}, {51, 314}, {61, 308}, {74, 323}, {138, 387}, {147, 410}, {157, 404}, {170, 419}, {179, 442}, {189, 436}, {202, 451}, {9, 259}, {254, 500}, {233, 483}, {222, 468}, {105, 355}, {94, 340}, {30, 276}, {41, 291}, {62, 308}, {73, 323}, {126, 372}, {137, 387}, {158, 404}, {169, 419}, {190, 436}, {201, 451}, {16, 283}, {240, 507}, {208, 475}, {112, 379}, {80, 347}, {48, 315}, {144, 411}, {176, 443}, {2, 270}, {253, 497}, {240, 508}, {227, 495}, {226, 494}, {221, 465}, {208, 476}, {125, 369}, {112, 380}, {99, 367}, {98, 366}, {93, 337}, {80, 348}, {11, 263}, {16, 284}, {29, 273}, {34, 302}, {35, 303}, {48, 316}, {61, 305}, {66, 334}, {67, 335}, {130, 398}, {131, 399}, {144, 412}, {157, 401}, {162, 430}, {163, 431}, {176, 444}, {189, 433}, {194, 462}, {195, 463}, {3, 270}, {240, 509}, {233, 484}, {231, 490}, {227, 494}, {226, 495}, {208, 477}, {112, 381}, {105, 356}, {103, 362}, {99, 366}, {98, 367}, {80, 349}, {7, 266}, {9, 260}, {10, 263}, {34, 303}, {35, 302}, {39, 298}, {41, 292}, {48, 317}, {66, 335}, {67, 334}, {71, 330}, {73, 324}, {130, 399}, {131, 398}, {135, 394}, {137, 388}, {144, 413}, {162, 431}, {163, 430}, {167, 426}, {169, 420}, {176, 445}, {194, 463}, {195, 462}, {199, 458}, {201, 452}, {3, 269}, {244, 506}, {235, 485}, {234, 484}, {231, 489}, {212, 474}, {116, 378}, {107, 357}, {106, 356}, {103, 361}, {84, 346}, {7, 265}, {10, 260}, {20, 282}, {39, 297}, {42, 292}, {43, 293}, {52, 314}, {71, 329}, {74, 324}, {75, 325}, {135, 393}, {138, 388}, {139, 389}, {148, 410}, {167, 425}, {170, 420}, {171, 421}, {180, 442}, {199, 457}, {202, 452}, {203, 453}, {2, 269}, {254, 497}, {244, 507}, {234, 485}, {222, 465}, {212, 475}, {116, 379}, {106, 357}, {94, 337}, {84, 347}, {16, 287}, {20, 283}, {30, 273}, {42, 293}, {52, 315}, {62, 305}, {74, 325}, {126, 369}, {138, 389}, {148, 411}, {158, 401}, {170, 421}, {180, 443}, {190, 433}, {202, 453}, {18, 258}, {252, 492}, {242, 482}, {220, 460}, {210, 450}, {124, 364}, {114, 354}, {92, 332}, {82, 322}, {28, 268}, {50, 290}, {60, 300}, {146, 386}, {156, 396}, {178, 418}, {188, 428}, {18, 259}, {242, 483}, {210, 451}, {114, 355}, {82, 323}, {50, 291}, {146, 387}, {178, 419}, {17, 259}, {251, 489}, {248, 490}, {241, 483}, {219, 457}, {216, 458}, {209, 451}, {123, 361}, {120, 362}, {113, 355}, {91, 329}, {88, 330}, {81, 323}, {24, 266}, {27, 265}, {49, 291}, {56, 298}, {59, 297}, {145, 387}, {152, 394}, {155, 393}, {177, 419}, {184, 426}, {187, 425}, {15, 284}, {248, 491}, {241, 482}, {239, 508}, {216, 459}, {209, 450}, {207, 476}, {120, 363}, {113, 354}, {111, 380}, {88, 331}, {81, 322}, {79, 348}, {17, 258}, {24, 267}, {47, 316}, {49, 290}, {56, 299}, {143, 412}, {145, 386}, {152, 395}, {175, 444}, {177, 418}, {184, 427}, {1, 277}, {239, 507}, {233, 509}, {230, 498}, {229, 497}, {207, 475}, {111, 379}, {105, 381}, {102, 370}, {101, 369}, {79, 347}, {5, 273}, {6, 274}, {15, 283}, {37, 305}, {38, 306}, {41, 317}, {47, 315}, {69, 337}, {70, 338}, {73, 349}, {133, 401}, {134, 402}, {137, 413}, {143, 411}, {165, 433}, {166, 434}, {169, 445}, {175, 443}, {197, 465}, {198, 466}, {201, 477}, {28, 265}, {252, 489}, {220, 457}, {124, 361}, {92, 329}, {60, 297}, {156, 393}, {188, 425}, {9, 287}, {238, 504}, {225, 503}, {206, 472}, {110, 376}, {97, 375}, {78, 344}, {14, 280}, {33, 311}, {46, 312}, {65, 343}, {129, 407}, {142, 408}, {161, 439}, {174, 440}, {193, 471}, {1, 278}, {251, 492}, {239, 504}, {230, 497}, {229, 498}, {225, 502}, {219, 460}, {207, 472}, {123, 364}, {111, 376}, {102, 369}, {101, 370}, {97, 374}, {91, 332}, {79, 344}, {5, 274}, {6, 273}, {15, 280}, {27, 268}, {33, 310}, {37, 306}, {38, 305}, {47, 312}, {59, 300}, {65, 342}, {69, 338}, {70, 337}, {129, 406}, {133, 402}, {134, 401}, {143, 408}, {155, 396}, {161, 438}, {165, 434}, {166, 433}, {175, 440}, {187, 428}, {193, 470}, {197, 466}, {198, 465}, {6, 286}, {249, 481}, {231, 511}, {230, 510}, {217, 449}, {121, 353}, {103, 383}, {102, 382}, {89, 321}, {15, 279}, {25, 257}, {38, 318}, {39, 319}, {57, 289}, {70, 350}, {71, 351}, {134, 414}, {135, 415}, {153, 385}, {166, 446}, {167, 447}, {185, 417}, {198, 478}, {199, 479}, {3, 282}, {237, 500}, {231, 510}, {230, 511}, {227, 506}, {205, 468}, {109, 372}, {103, 382}, {102, 383}, {99, 378}, {77, 340}, {7, 286}, {13, 276}, {14, 279}, {35, 314}, {38, 319}, {39, 318}, {45, 308}, {67, 346}, {70, 351}, {71, 350}, {131, 410}, {134, 415}, {135, 414}, {141, 404}, {163, 442}, {166, 447}, {167, 446}, {173, 436}, {195, 474}, {198, 479}, {199, 478}, {3, 281}, {239, 501}, {238, 500}, {227, 505}, {207, 469}, {206, 468}, {111, 373}, {110, 372}, {99, 377}, {79, 341}, {78, 340}, {7, 285}, {14, 276}, {35, 313}, {46, 308}, {47, 309}, {67, 345}, {131, 409}, {142, 404}, {143, 405}, {163, 441}, {174, 436}, {175, 437}, {195, 473}, {6, 285}, {250, 481}, {238, 501}, {218, 449}, {206, 469}, {122, 353}, {110, 373}, {90, 321}, {78, 341}, {26, 257}, {46, 309}, {58, 289}, {142, 405}, {154, 385}, {174, 437}, {186, 417}, {12, 272}, {247, 491}, {236, 496}, {215, 459}, {204, 464}, {119, 363}, {108, 368}, {87, 331}, {76, 336}, {23, 267}, {44, 304}, {55, 299}, {140, 400}, {151, 395}, {172, 432}, {183, 427}, {4, 281}, {249, 484}, {247, 490}, {238, 499}, {237, 496}, {228, 505}, {217, 452}, {215, 458}, {206, 467}, {205, 464}, {121, 356}, {119, 362}, {110, 371}, {109, 368}, {100, 377}, {89, 324}, {87, 330}, {78, 339}, {77, 336}, {8, 277}, {13, 272}, {14, 275}, {23, 266}, {25, 260}, {36, 313}, {45, 304}, {46, 307}, {55, 298}, {57, 292}, {68, 345}, {132, 409}, {141, 400}, {142, 403}, {151, 394}, {153, 388}, {164, 441}, {173, 432}, {174, 435}, {183, 426}, {185, 420}, {196, 473}, {4, 282}, {250, 484}, {237, 499}, {232, 502}, {228, 506}, {218, 452}, {205, 467}, {122, 356}, {109, 371}, {104, 374}, {100, 378}, {90, 324}, {77, 339}, {8, 278}, {13, 275}, {26, 260}, {36, 314}, {40, 310}, {45, 307}, {58, 292}, {68, 346}, {72, 342}, {132, 410}, {136, 406}, {141, 403}, {154, 388}, {164, 442}, {168, 438}, {173, 435}, {186, 420}, {196, 474}, {200, 470}, {32, 319}, {232, 503}, {224, 511}, {104, 375}, {96, 383}, {40, 311}, {64, 351}, {72, 343}, {128, 415}, {136, 407}, {160, 447}, {168, 439}, {192, 479}, {200, 471}, {64, 352}, {128, 416}, {192, 480}, {17, 309}, {209, 501}, {81, 373}, {145, 437}, {25, 319}, {222, 504}, {217, 511}, {94, 376}, {89, 383}, {30, 312}, {153, 447}, {158, 440}, {17, 310}, {223, 504}, {209, 502}, {95, 376}, {81, 374}, {31, 312}, {145, 438}, {159, 440}, {22, 318}, {223, 503}, {214, 510}, {95, 375}, {86, 382}, {31, 311}, {150, 446}, {159, 439}, {9, 288}, {222, 503}, {215, 510}, {94, 375}, {87, 382}, {23, 318}, {30, 311}, {73, 352}, {137, 416}, {151, 446}, {158, 439}, {201, 480}, {23, 317}, {215, 509}, {87, 381}, {151, 445}, {22, 317}, {214, 509}, {86, 381}, {150, 445}, {28, 304}, {220, 496}, {92, 368}, {156, 432}, {24, 309}, {221, 496}, {216, 501}, {93, 368}, {88, 373}, {29, 304}, {152, 437}, {157, 432}, {24, 310}, {216, 502}, {88, 374}, {152, 438}, {16, 288}, {213, 485}, {208, 480}, {85, 357}, {80, 352}, {21, 293}, {144, 416}, {149, 421}, {20, 293}, {212, 485}, {84, 357}, {148, 421}, {20, 294}, {221, 495}, {218, 488}, {212, 486}, {93, 367}, {90, 360}, {84, 358}, {26, 296}, {29, 303}, {148, 422}, {154, 424}, {157, 431}, {21, 294}, {220, 495}, {219, 488}, {213, 486}, {92, 367}, {91, 360}, {85, 358}, {27, 296}, {28, 303}, {149, 422}, {155, 424}, {156, 431}, {32, 281}, {224, 473}, {96, 345}, {160, 409}, {18, 302}, {224, 476}, {219, 487}, {210, 494}, {96, 348}, {91, 359}, {82, 366}, {27, 295}, {32, 284}, {146, 430}, {155, 423}, {160, 412}, {19, 302}, {218, 487}, {211, 494}, {90, 359}, {83, 366}, {26, 295}, {147, 430}, {154, 423}, {19, 301}, {211, 493}, {83, 365}, {147, 429}, {18, 301}, {210, 493}, {82, 365}, {146, 429}, {25, 320}, {57, 352}, {153, 448}, {185, 480}, {32, 320}, {160, 448}, {49, 341}, {177, 469}, {57, 351}, {62, 344}, {185, 479}, {190, 472}, {49, 342}, {63, 344}, {177, 470}, {191, 472}, {54, 350}, {63, 343}, {182, 478}, {191, 471}, {41, 320}, {55, 350}, {62, 343}, {169, 448}, {183, 478}, {190, 471}, {55, 349}, {183, 477}, {54, 349}, {182, 477}, {60, 336}, {188, 464}, {56, 341}, {61, 336}, {184, 469}, {189, 464}, {56, 342}, {184, 470}, {48, 320}, {53, 325}, {176, 448}, {181, 453}, {52, 325}, {180, 453}, {52, 326}, {58, 328}, {61, 335}, {180, 454}, {186, 456}, {189, 463}, {53, 326}, {59, 328}, {60, 335}, {181, 454}, {187, 456}, {188, 463}, {64, 313}, {192, 441}, {50, 334}, {59, 327}, {64, 316}, {178, 462}, {187, 455}, {192, 444}, {51, 334}, {58, 327}, {179, 462}, {186, 455}, {51, 333}, {179, 461}, {50, 333}, {178, 461}, {89, 384}, {249, 288}, {121, 416}, {96, 384}, {113, 405}, {249, 285}, {121, 415}, {254, 280}, {241, 279}, {126, 408}, {113, 406}, {255, 280}, {241, 278}, {127, 408}, {118, 414}, {247, 287}, {246, 286}, {127, 407}, {105, 384}, {247, 286}, {246, 287}, {119, 414}, {126, 407}, {119, 413}, {255, 277}, {118, 413}, {254, 277}, {124, 400}, {252, 272}, {120, 405}, {253, 272}, {125, 400}, {120, 406}, {248, 278}, {248, 279}, {112, 384}, {253, 269}, {117, 389}, {116, 389}, {252, 269}, {116, 390}, {250, 264}, {245, 263}, {244, 262}, {125, 399}, {122, 392}, {117, 390}, {251, 264}, {245, 262}, {244, 263}, {124, 399}, {123, 392}, {128, 377}, {114, 398}, {243, 271}, {242, 270}, {123, 391}, {128, 380}, {115, 398}, {243, 270}, {242, 271}, {122, 391}, {115, 397}, {251, 261}, {114, 397}, {250, 261}, {217, 512}, {224, 512}, {233, 512}, {240, 512} }>;

(II) A more general form is to represent the graph as the orbit of {256, 285} under the group generated by the following permutations:

a: (225, 238)(226, 237)(227, 236)(228, 235)(229, 234)(230, 233)(231, 240)(232, 239)(241, 254)(242, 253)(243, 252)(244, 251)(245, 250)(246, 249)(247, 256)(248, 255)(261, 262)(263, 264)(269, 270)(271, 272)(277, 278)(279, 280)(285, 286)(287, 288)(481, 499)(482, 500)(483, 497)(484, 498)(485, 486)(487, 488)(489, 507)(490, 508)(491, 505)(492, 506)(493, 494)(495, 496)(501, 502)(503, 504)(509, 510)(511, 512)
b: (33, 46)(34, 45)(35, 44)(36, 43)(37, 42)(38, 41)(39, 48)(40, 47)(49, 62)(50, 61)(51, 60)(52, 59)(53, 58)(54, 57)(55, 64)(56, 63)(65, 78)(66, 77)(67, 76)(68, 75)(69, 74)(70, 73)(71, 80)(72, 79)(81, 94)(82, 93)(83, 92)(84, 91)(85, 90)(86, 89)(87, 96)(88, 95)(289, 307)(290, 308)(291, 305)(292, 306)(293, 294)(295, 296)(297, 315)(298, 316)(299, 313)(300, 314)(301, 302)(303, 304)(309, 310)(311, 312)(317, 318)(319, 320)(321, 339)(322, 340)(323, 337)(324, 338)(325, 327)(326, 328)(329, 347)(330, 348)(331, 345)(332, 346)(333, 335)(334, 336)(341, 343)(342, 344)(349, 351)(350, 352)(357, 360)(358, 359)(365, 368)(366, 367)(373, 376)(374, 375)(381, 384)(382, 383)
c: (129, 142)(130, 141)(131, 140)(132, 139)(133, 138)(134, 137)(135, 144)(136, 143)(145, 149)(146, 150)(147, 151)(148, 152)(153, 157)(154, 158)(155, 159)(156, 160)(161, 165)(162, 166)(163, 167)(164, 168)(169, 173)(170, 174)(171, 175)(172, 176)(177, 181)(178, 182)(179, 183)(180, 184)(185, 189)(186, 190)(187, 191)(188, 192)(193, 202)(194, 201)(195, 208)(196, 207)(197, 206)(198, 205)(199, 204)(200, 203)(385, 404)(386, 403)(387, 402)(388, 401)(389, 390)(391, 392)(393, 412)(394, 411)(395, 410)(396, 409)(397, 398)(399, 400)(405, 406)(407, 408)(413, 414)(415, 416)(417, 433)(418, 434)(419, 435)(420, 436)(421, 437)(422, 438)(423, 439)(424, 440)(425, 441)(426, 442)(427, 443)(428, 444)(429, 445)(430, 446)(431, 447)(432, 448)(449, 452)(450, 451)(453, 470)(454, 469)(455, 472)(456, 471)(457, 460)(458, 459)(461, 478)(462, 477)(463, 480)(464, 479)(465, 468)(466, 467)(473, 476)(474, 475)
d: (193, 206)(194, 205)(195, 204)(196, 203)(197, 202)(198, 201)(199, 208)(200, 207)(209, 213)(210, 214)(211, 215)(212, 216)(217, 221)(218, 222)(219, 223)(220, 224)(225, 229)(226, 230)(227, 231)(228, 232)(233, 237)(234, 238)(235, 239)(236, 240)(241, 254)(242, 253)(243, 252)(244, 251)(245, 250)(246, 249)(247, 256)(248, 255)(261, 262)(263, 264)(269, 270)(271, 272)(277, 278)(279, 280)(285, 286)(287, 288)(449, 468)(450, 467)(451, 466)(452, 465)(453, 454)(455, 456)(457, 476)(458, 475)(459, 474)(460, 473)(461, 462)(463, 464)(469, 470)(471, 472)(477, 478)(479, 480)(481, 498)(482, 497)(483, 500)(484, 499)(485, 501)(486, 502)(487, 503)(488, 504)(489, 506)(490, 505)(491, 508)(492, 507)(493, 509)(494, 510)(495, 511)(496, 512)
e: (161, 174)(162, 173)(163, 172)(164, 171)(165, 170)(166, 169)(167, 176)(168, 175)(177, 181)(178, 182)(179, 183)(180, 184)(185, 189)(186, 190)(187, 191)(188, 192)(193, 202)(194, 201)(195, 208)(196, 207)(197, 206)(198, 205)(199, 204)(200, 203)(417, 436)(418, 435)(419, 434)(420, 433)(421, 422)(423, 424)(425, 444)(426, 443)(427, 442)(428, 441)(429, 430)(431, 432)(437, 438)(439, 440)(445, 446)(447, 448)(449, 452)(450, 451)(453, 470)(454, 469)(455, 472)(456, 471)(457, 460)(458, 459)(461, 478)(462, 477)(463, 480)(464, 479)(465, 468)(466, 467)(473, 476)(474, 475)
f: (81, 90)(82, 89)(83, 96)(84, 95)(85, 94)(86, 93)(87, 92)(88, 91)(97, 106)(98, 105)(99, 112)(100, 111)(101, 110)(102, 109)(103, 108)(104, 107)(113, 122)(114, 121)(115, 128)(116, 127)(117, 126)(118, 125)(119, 124)(120, 123)(129, 133)(130, 134)(131, 135)(132, 136)(137, 141)(138, 142)(139, 143)(140, 144)(145, 149)(146, 150)(147, 151)(148, 152)(153, 157)(154, 158)(155, 159)(156, 160)(161, 165)(162, 166)(163, 167)(164, 168)(169, 173)(170, 174)(171, 175)(172, 176)(177, 181)(178, 182)(179, 183)(180, 184)(185, 189)(186, 190)(187, 191)(188, 192)(193, 202)(194, 201)(195, 208)(196, 207)(197, 206)(198, 205)(199, 204)(200, 203)(321, 322)(323, 324)(329, 330)(331, 332)(337, 338)(339, 340)(345, 346)(347, 348)(353, 355)(354, 356)(357, 375)(358, 376)(359, 373)(360, 374)(361, 363)(362, 364)(365, 383)(366, 384)(367, 381)(368, 382)(369, 371)(370, 372)(377, 379)(378, 380)(385, 401)(386, 402)(387, 403)(388, 404)(389, 408)(390, 407)(391, 406)(392, 405)(393, 409)(394, 410)(395, 411)(396, 412)(397, 416)(398, 415)(399, 414)(400, 413)(417, 433)(418, 434)(419, 435)(420, 436)(421, 437)(422, 438)(423, 439)(424, 440)(425, 441)(426, 442)(427, 443)(428, 444)(429, 445)(430, 446)(431, 447)(432, 448)(449, 452)(450, 451)(453, 470)(454, 469)(455, 472)(456, 471)(457, 460)(458, 459)(461, 478)(462, 477)(463, 480)(464, 479)(465, 468)(466, 467)(473, 476)(474, 475)
g: (193, 206)(194, 205)(195, 204)(196, 203)(197, 202)(198, 201)(199, 208)(200, 207)(209, 222)(210, 221)(211, 220)(212, 219)(213, 218)(214, 217)(215, 224)(216, 223)(225, 238)(226, 237)(227, 236)(228, 235)(229, 234)(230, 233)(231, 240)(232, 239)(241, 254)(242, 253)(243, 252)(244, 251)(245, 250)(246, 249)(247, 256)(248, 255)(261, 262)(263, 264)(269, 270)(271, 272)(277, 278)(279, 280)(285, 286)(287, 288)(449, 467)(450, 468)(451, 465)(452, 466)(453, 454)(455, 456)(457, 475)(458, 476)(459, 473)(460, 474)(461, 462)(463, 464)(469, 470)(471, 472)(477, 478)(479, 480)(481, 499)(482, 500)(483, 497)(484, 498)(485, 487)(486, 488)(489, 507)(490, 508)(491, 505)(492, 506)(493, 495)(494, 496)(501, 503)(502, 504)(509, 511)(510, 512)
h: (17, 26)(18, 25)(19, 32)(20, 31)(21, 30)(22, 29)(23, 28)(24, 27)(33, 42)(34, 41)(35, 48)(36, 47)(37, 46)(38, 45)(39, 44)(40, 43)(257, 258)(259, 260)(265, 266)(267, 268)(273, 274)(275, 276)(281, 282)(283, 284)(289, 292)(290, 291)(293, 311)(294, 312)(295, 309)(296, 310)(297, 300)(298, 299)(301, 319)(302, 320)(303, 317)(304, 318)(305, 308)(306, 307)(313, 316)(314, 315)
m: (33, 46)(34, 45)(35, 44)(36, 43)(37, 42)(38, 41)(39, 48)(40, 47)(49, 53)(50, 54)(51, 55)(52, 56)(57, 61)(58, 62)(59, 63)(60, 64)(65, 69)(66, 70)(67, 71)(68, 72)(73, 77)(74, 78)(75, 79)(76, 80)(81, 94)(82, 93)(83, 92)(84, 91)(85, 90)(86, 89)(87, 96)(88, 95)(289, 308)(290, 307)(291, 306)(292, 305)(293, 294)(295, 296)(297, 316)(298, 315)(299, 314)(300, 313)(301, 302)(303, 304)(309, 310)(311, 312)(317, 318)(319, 320)(321, 338)(322, 337)(323, 340)(324, 339)(325, 341)(326, 342)(327, 343)(328, 344)(329, 346)(330, 345)(331, 348)(332, 347)(333, 349)(334, 350)(335, 351)(336, 352)(357, 360)(358, 359)(365, 368)(366, 367)(373, 376)(374, 375)(381, 384)(382, 383)
n1: (65, 78)(66, 77)(67, 76)(68, 75)(69, 74)(70, 73)(71, 80)(72, 79)(81, 94)(82, 93)(83, 92)(84, 91)(85, 90)(86, 89)(87, 96)(88, 95)(321, 339)(322, 340)(323, 337)(324, 338)(325, 326)(327, 328)(329, 347)(330, 348)(331, 345)(332, 346)(333, 334)(335, 336)(341, 342)(343, 344)(349, 350)(351, 352)(357, 360)(358, 359)(365, 368)(366, 367)(373, 376)(374, 375)(381, 384)(382, 383)
a1: (145, 154)(146, 153)(147, 160)(148, 159)(149, 158)(150, 157)(151, 156)(152, 155)(161, 165)(162, 166)(163, 167)(164, 168)(169, 173)(170, 174)(171, 175)(172, 176)(177, 181)(178, 182)(179, 183)(180, 184)(185, 189)(186, 190)(187, 191)(188, 192)(193, 202)(194, 201)(195, 208)(196, 207)(197, 206)(198, 205)(199, 204)(200, 203)(385, 386)(387, 388)(393, 394)(395, 396)(401, 402)(403, 404)(409, 410)(411, 412)(417, 433)(418, 434)(419, 435)(420, 436)(421, 440)(422, 439)(423, 438)(424, 437)(425, 441)(426, 442)(427, 443)(428, 444)(429, 448)(430, 447)(431, 446)(432, 445)(449, 452)(450, 451)(453, 470)(454, 469)(455, 472)(456, 471)(457, 460)(458, 459)(461, 478)(462, 477)(463, 480)(464, 479)(465, 468)(466, 467)(473, 476)(474, 475)
b1: (177, 186)(178, 185)(179, 192)(180, 191)(181, 190)(182, 189)(183, 188)(184, 187)(193, 202)(194, 201)(195, 208)(196, 207)(197, 206)(198, 205)(199, 204)(200, 203)(417, 418)(419, 420)(425, 426)(427, 428)(433, 434)(435, 436)(441, 442)(443, 444)(449, 452)(450, 451)(453, 471)(454, 472)(455, 469)(456, 470)(457, 460)(458, 459)(461, 479)(462, 480)(463, 477)(464, 478)(465, 468)(466, 467)(473, 476)(474, 475)
c1: (113, 122)(114, 121)(115, 128)(116, 127)(117, 126)(118, 125)(119, 124)(120, 123)(129, 133)(130, 134)(131, 135)(132, 136)(137, 141)(138, 142)(139, 143)(140, 144)(145, 149)(146, 150)(147, 151)(148, 152)(153, 157)(154, 158)(155, 159)(156, 160)(161, 165)(162, 166)(163, 167)(164, 168)(169, 173)(170, 174)(171, 175)(172, 176)(177, 181)(178, 182)(179, 183)(180, 184)(185, 189)(186, 190)(187, 191)(188, 192)(193, 202)(194, 201)(195, 208)(196, 207)(197, 206)(198, 205)(199, 204)(200, 203)(353, 354)(355, 356)(361, 362)(363, 364)(369, 370)(371, 372)(377, 378)(379, 380)(385, 401)(386, 402)(387, 403)(388, 404)(389, 408)(390, 407)(391, 406)(392, 405)(393, 409)(394, 410)(395, 411)(396, 412)(397, 416)(398, 415)(399, 414)(400, 413)(417, 433)(418, 434)(419, 435)(420, 436)(421, 437)(422, 438)(423, 439)(424, 440)(425, 441)(426, 442)(427, 443)(428, 444)(429, 445)(430, 446)(431, 447)(432, 448)(449, 452)(450, 451)(453, 470)(454, 469)(455, 472)(456, 471)(457, 460)(458, 459)(461, 478)(462, 477)(463, 480)(464, 479)(465, 468)(466, 467)(473, 476)(474, 475)
d1: (81, 90)(82, 89)(83, 96)(84, 95)(85, 94)(86, 93)(87, 92)(88, 91)(97, 101)(98, 102)(99, 103)(100, 104)(105, 109)(106, 110)(107, 111)(108, 112)(113, 117)(114, 118)(115, 119)(116, 120)(121, 125)(122, 126)(123, 127)(124, 128)(129, 133)(130, 134)(131, 135)(132, 136)(137, 141)(138, 142)(139, 143)(140, 144)(145, 149)(146, 150)(147, 151)(148, 152)(153, 157)(154, 158)(155, 159)(156, 160)(161, 165)(162, 166)(163, 167)(164, 168)(169, 173)(170, 174)(171, 175)(172, 176)(177, 181)(178, 182)(179, 183)(180, 184)(185, 189)(186, 190)(187, 191)(188, 192)(193, 202)(194, 201)(195, 208)(196, 207)(197, 206)(198, 205)(199, 204)(200, 203)(321, 322)(323, 324)(329, 330)(331, 332)(337, 338)(339, 340)(345, 346)(347, 348)(353, 369)(354, 370)(355, 371)(356, 372)(357, 376)(358, 375)(359, 374)(360, 373)(361, 377)(362, 378)(363, 379)(364, 380)(365, 384)(366, 383)(367, 382)(368, 381)(385, 401)(386, 402)(387, 403)(388, 404)(389, 405)(390, 406)(391, 407)(392, 408)(393, 409)(394, 410)(395, 411)(396, 412)(397, 413)(398, 414)(399, 415)(400, 416)(417, 433)(418, 434)(419, 435)(420, 436)(421, 437)(422, 438)(423, 439)(424, 440)(425, 441)(426, 442)(427, 443)(428, 444)(429, 445)(430, 446)(431, 447)(432, 448)(449, 452)(450, 451)(453, 470)(454, 469)(455, 472)(456, 471)(457, 460)(458, 459)(461, 478)(462, 477)(463, 480)(464, 479)(465, 468)(466, 467)(473, 476)(474, 475)
e1: (1, 17, 10, 26)(2, 18, 9, 25)(3, 19, 16, 32)(4, 20, 15, 31)(5, 21, 14, 30)(6, 22, 13, 29)(7, 23, 12, 28)(8, 24, 11, 27)(33, 245, 42, 254)(34, 246, 41, 253)(35, 247, 48, 252)(36, 248, 47, 251)(37, 241, 46, 250)(38, 242, 45, 249)(39, 243, 44, 256)(40, 244, 43, 255)(49, 238)(50, 237)(51, 236)(52, 235)(53, 234)(54, 233)(55, 240)(56, 239)(57, 230)(58, 229)(59, 228)(60, 227)(61, 226)(62, 225)(63, 232)(64, 231)(65, 222)(66, 221)(67, 220)(68, 219)(69, 218)(70, 217)(71, 224)(72, 223)(73, 214)(74, 213)(75, 212)(76, 211)(77, 210)(78, 209)(79, 216)(80, 215)(81, 197)(82, 198)(83, 199)(84, 200)(85, 193)(86, 194)(87, 195)(88, 196)(89, 205)(90, 206)(91, 207)(92, 208)(93, 201)(94, 202)(95, 203)(96, 204)(97, 186, 110, 181)(98, 185, 109, 182)(99, 192, 108, 183)(100, 191, 107, 184)(101, 190, 106, 177)(102, 189, 105, 178)(103, 188, 112, 179)(104, 187, 111, 180)(113, 170, 126, 165)(114, 169, 125, 166)(115, 176, 124, 167)(116, 175, 123, 168)(117, 174, 122, 161)(118, 173, 121, 162)(119, 172, 128, 163)(120, 171, 127, 164)(129, 149)(130, 150)(131, 151)(132, 152)(133, 145)(134, 146)(135, 147)(136, 148)(137, 157)(138, 158)(139, 159)(140, 160)(141, 153)(142, 154)(143, 155)(144, 156)(257, 258, 259, 260)(261, 294, 279, 312)(262, 293, 280, 311)(263, 296, 277, 310)(264, 295, 278, 309)(265, 266, 267, 268)(269, 302, 287, 320)(270, 301, 288, 319)(271, 304, 285, 318)(272, 303, 286, 317)(273, 274, 275, 276)(281, 282, 283, 284)(289, 498, 292, 497)(290, 499, 291, 500)(297, 506, 300, 505)(298, 507, 299, 508)(305, 482, 308, 481)(306, 483, 307, 484)(313, 490, 316, 489)(314, 491, 315, 492)(321, 468)(322, 465)(323, 466)(324, 467)(325, 485)(326, 488)(327, 487)(328, 486)(329, 476)(330, 473)(331, 474)(332, 475)(333, 493)(334, 496)(335, 495)(336, 494)(337, 452)(338, 449)(339, 450)(340, 451)(341, 501)(342, 504)(343, 503)(344, 502)(345, 460)(346, 457)(347, 458)(348, 459)(349, 509)(350, 512)(351, 511)(352, 510)(353, 417, 371, 435)(354, 420, 372, 434)(355, 419, 369, 433)(356, 418, 370, 436)(357, 470, 358, 471)(359, 472, 360, 469)(361, 425, 379, 443)(362, 428, 380, 442)(363, 427, 377, 441)(364, 426, 378, 444)(365, 478, 366, 479)(367, 480, 368, 477)(373, 454, 374, 455)(375, 456, 376, 453)(381, 462, 382, 463)(383, 464, 384, 461)(385, 403)(386, 402)(387, 401)(388, 404)(389, 440, 392, 439)(390, 437, 391, 438)(393, 411)(394, 410)(395, 409)(396, 412)(397, 448, 400, 447)(398, 445, 399, 446)(405, 424, 408, 423)(406, 421, 407, 422)(413, 432, 416, 431)(414, 429, 415, 430)
f1: (1, 2, 3, 4, 5, 6, 7, 8)(9, 12, 15, 10, 13, 16, 11, 14)(17, 242, 19, 244, 21, 246, 23, 248)(18, 243, 20, 245, 22, 247, 24, 241)(25, 252, 31, 250, 29, 256, 27, 254)(26, 253, 32, 251, 30, 249, 28, 255)(33, 226, 44, 239, 37, 230, 48, 235)(34, 227, 43, 238, 38, 231, 47, 234)(35, 228, 42, 237, 39, 232, 46, 233)(36, 229, 41, 236, 40, 225, 45, 240)(49, 221, 55, 223, 53, 217, 51, 219)(50, 220, 56, 222, 54, 224, 52, 218)(57, 211, 59, 209, 61, 215, 63, 213)(58, 210, 60, 216, 62, 214, 64, 212)(65, 205, 71, 207, 69, 201, 67, 203)(66, 204, 72, 206, 70, 208, 68, 202)(73, 195, 75, 193, 77, 199, 79, 197)(74, 194, 76, 200, 78, 198, 80, 196)(81, 189, 92, 184, 85, 185, 96, 180)(82, 188, 91, 177, 86, 192, 95, 181)(83, 187, 90, 178, 87, 191, 94, 182)(84, 186, 89, 179, 88, 190, 93, 183)(97, 173, 108, 168, 101, 169, 112, 164)(98, 172, 107, 161, 102, 176, 111, 165)(99, 171, 106, 162, 103, 175, 110, 166)(100, 170, 105, 163, 104, 174, 109, 167)(113, 157, 124, 152, 117, 153, 128, 148)(114, 156, 123, 145, 118, 160, 127, 149)(115, 155, 122, 146, 119, 159, 126, 150)(116, 154, 121, 147, 120, 158, 125, 151)(129, 134, 131, 136, 133, 130, 135, 132)(137, 144, 143, 142, 141, 140, 139, 138)(257, 269, 281, 261, 273, 285, 265, 277)(258, 270, 282, 262, 274, 286, 266, 278)(259, 271, 283, 263, 275, 287, 267, 279)(260, 272, 284, 264, 276, 288, 268, 280)(289, 494, 300, 501, 305, 510, 316, 485)(290, 495, 299, 504, 306, 511, 315, 488)(291, 496, 298, 503, 307, 512, 314, 487)(292, 493, 297, 502, 308, 509, 313, 486)(293, 499, 318, 490, 309, 483, 302, 506)(294, 498, 317, 491, 310, 482, 301, 507)(295, 497, 320, 492, 311, 481, 304, 508)(296, 500, 319, 489, 312, 484, 303, 505)(321, 461, 330, 472, 337, 477, 346, 456)(322, 464, 329, 469, 338, 480, 345, 453)(323, 463, 332, 470, 339, 479, 348, 454)(324, 462, 331, 471, 340, 478, 347, 455)(325, 449, 333, 457, 341, 465, 349, 473)(326, 452, 334, 460, 342, 468, 350, 476)(327, 451, 335, 459, 343, 467, 351, 475)(328, 450, 336, 458, 344, 466, 352, 474)(353, 429, 363, 439, 369, 445, 379, 423)(354, 432, 364, 438, 370, 448, 380, 422)(355, 431, 361, 437, 371, 447, 377, 421)(356, 430, 362, 440, 372, 446, 378, 424)(357, 417, 383, 443, 373, 433, 367, 427)(358, 420, 384, 442, 374, 436, 368, 426)(359, 419, 381, 441, 375, 435, 365, 425)(360, 418, 382, 444, 376, 434, 366, 428)(385, 415, 410, 406, 401, 399, 394, 390)(386, 414, 409, 407, 402, 398, 393, 391)(387, 413, 412, 408, 403, 397, 396, 392)(388, 416, 411, 405, 404, 400, 395, 389)
g1: (2, 8)(3, 7)(4, 6)(9, 15)(10, 14)(11, 13)(17, 241)(18, 248)(19, 247)(20, 246)(21, 245)(22, 244)(23, 243)(24, 242)(25, 255)(26, 254)(27, 253)(28, 252)(29, 251)(30, 250)(31, 249)(32, 256)(33, 225, 46, 234)(34, 232, 45, 235)(35, 231, 44, 236)(36, 230, 43, 237)(37, 229, 42, 238)(38, 228, 41, 239)(39, 227, 48, 240)(40, 226, 47, 233)(49, 222, 53, 218)(50, 223, 54, 219)(51, 224, 55, 220)(52, 217, 56, 221)(57, 216, 61, 212)(58, 209, 62, 213)(59, 210, 63, 214)(60, 211, 64, 215)(65, 206, 74, 193)(66, 207, 73, 200)(67, 208, 80, 199)(68, 201, 79, 198)(69, 202, 78, 197)(70, 203, 77, 196)(71, 204, 76, 195)(72, 205, 75, 194)(81, 177)(82, 184)(83, 183)(84, 182)(85, 181)(86, 180)(87, 179)(88, 178)(89, 191)(90, 190)(91, 189)(92, 188)(93, 187)(94, 186)(95, 185)(96, 192)(97, 170, 110, 161)(98, 171, 109, 168)(99, 172, 108, 167)(100, 173, 107, 166)(101, 174, 106, 165)(102, 175, 105, 164)(103, 176, 112, 163)(104, 169, 111, 162)(113, 154, 126, 145)(114, 155, 125, 152)(115, 156, 124, 151)(116, 157, 123, 150)(117, 158, 122, 149)(118, 159, 121, 148)(119, 160, 128, 147)(120, 153, 127, 146)(130, 136)(131, 135)(132, 134)(137, 143)(138, 142)(139, 141)(257, 277)(258, 278)(259, 279)(260, 280)(261, 273)(262, 274)(263, 275)(264, 276)(265, 269)(266, 270)(267, 271)(268, 272)(281, 285)(282, 286)(283, 287)(284, 288)(289, 502, 308, 485)(290, 503, 307, 488)(291, 504, 306, 487)(292, 501, 305, 486)(293, 499, 294, 498)(295, 497, 296, 500)(297, 494, 316, 509)(298, 495, 315, 512)(299, 496, 314, 511)(300, 493, 313, 510)(301, 491, 302, 490)(303, 489, 304, 492)(309, 483, 310, 482)(311, 481, 312, 484)(317, 507, 318, 506)(319, 505, 320, 508)(321, 472, 324, 471)(322, 469, 323, 470)(325, 449, 342, 468)(326, 452, 341, 465)(327, 451, 344, 466)(328, 450, 343, 467)(329, 464, 332, 463)(330, 461, 331, 462)(333, 473, 350, 460)(334, 476, 349, 457)(335, 475, 352, 458)(336, 474, 351, 459)(337, 456, 340, 455)(338, 453, 339, 454)(345, 480, 348, 479)(346, 477, 347, 478)(353, 421, 371, 439)(354, 424, 372, 438)(355, 423, 369, 437)(356, 422, 370, 440)(357, 434, 358, 435)(359, 436, 360, 433)(361, 445, 379, 431)(362, 448, 380, 430)(363, 447, 377, 429)(364, 446, 378, 432)(365, 426, 366, 427)(367, 428, 368, 425)(373, 418, 374, 419)(375, 420, 376, 417)(381, 442, 382, 443)(383, 444, 384, 441)(385, 407, 386, 406)(387, 405, 388, 408)(389, 404, 392, 403)(390, 401, 391, 402)(393, 399, 394, 398)(395, 397, 396, 400)(409, 415, 410, 414)(411, 413, 412, 416)
h1: (1, 9, 7, 11, 5, 13, 3, 15)(2, 16, 8, 10, 6, 12, 4, 14)(17, 249, 28, 244, 21, 253, 32, 248)(18, 256, 27, 245, 22, 252, 31, 241)(19, 255, 26, 246, 23, 251, 30, 242)(20, 254, 25, 247, 24, 250, 29, 243)(33, 226, 44, 239, 37, 230, 48, 235)(34, 227, 43, 238, 38, 231, 47, 234)(35, 228, 42, 237, 39, 232, 46, 233)(36, 229, 41, 236, 40, 225, 45, 240)(49, 221, 55, 223, 53, 217, 51, 219)(50, 220, 56, 222, 54, 224, 52, 218)(57, 211, 59, 209, 61, 215, 63, 213)(58, 210, 60, 216, 62, 214, 64, 212)(65, 205, 71, 207, 69, 201, 67, 203)(66, 204, 72, 206, 70, 208, 68, 202)(73, 195, 75, 193, 77, 199, 79, 197)(74, 194, 76, 200, 78, 198, 80, 196)(81, 189, 92, 184, 85, 185, 96, 180)(82, 188, 91, 177, 86, 192, 95, 181)(83, 187, 90, 178, 87, 191, 94, 182)(84, 186, 89, 179, 88, 190, 93, 183)(97, 173, 108, 168, 101, 169, 112, 164)(98, 172, 107, 161, 102, 176, 111, 165)(99, 171, 106, 162, 103, 175, 110, 166)(100, 170, 105, 163, 104, 174, 109, 167)(113, 157, 124, 152, 117, 153, 128, 148)(114, 156, 123, 145, 118, 160, 127, 149)(115, 155, 122, 146, 119, 159, 126, 150)(116, 154, 121, 147, 120, 158, 125, 151)(129, 134, 131, 136, 133, 130, 135, 132)(137, 144, 143, 142, 141, 140, 139, 138)(257, 287, 266, 264, 273, 271, 282, 280)(258, 288, 265, 263, 274, 272, 281, 279)(259, 285, 268, 262, 275, 269, 284, 278)(260, 286, 267, 261, 276, 270, 283, 277)(289, 494, 300, 501, 305, 510, 316, 485)(290, 495, 299, 504, 306, 511, 315, 488)(291, 496, 298, 503, 307, 512, 314, 487)(292, 493, 297, 502, 308, 509, 313, 486)(293, 500, 319, 490, 309, 484, 303, 506)(294, 497, 320, 491, 310, 481, 304, 507)(295, 498, 317, 492, 311, 482, 301, 508)(296, 499, 318, 489, 312, 483, 302, 505)(321, 461, 330, 472, 337, 477, 346, 456)(322, 464, 329, 469, 338, 480, 345, 453)(323, 463, 332, 470, 339, 479, 348, 454)(324, 462, 331, 471, 340, 478, 347, 455)(325, 449, 333, 457, 341, 465, 349, 473)(326, 452, 334, 460, 342, 468, 350, 476)(327, 451, 335, 459, 343, 467, 351, 475)(328, 450, 336, 458, 344, 466, 352, 474)(353, 429, 363, 439, 369, 445, 379, 423)(354, 432, 364, 438, 370, 448, 380, 422)(355, 431, 361, 437, 371, 447, 377, 421)(356, 430, 362, 440, 372, 446, 378, 424)(357, 417, 383, 443, 373, 433, 367, 427)(358, 420, 384, 442, 374, 436, 368, 426)(359, 419, 381, 441, 375, 435, 365, 425)(360, 418, 382, 444, 376, 434, 366, 428)(385, 415, 410, 406, 401, 399, 394, 390)(386, 414, 409, 407, 402, 398, 393, 391)(387, 413, 412, 408, 403, 397, 396, 392)(388, 416, 411, 405, 404, 400, 395, 389)

(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.

**************

&Graph
C4[ 512, 57 ]
512
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-2 257 258 269 270
-3 269 270 281 282
-4 281 282 261 262
-5 261 262 273 274
-6 286 273 274 285
-7 286 265 266 285
-8 265 266 277 278
-9 287 288 259 260
-10 264 259 260 263
-11 264 267 268 263
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-13 275 276 271 272
-14 275 276 279 280
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-17 309 310 258 259
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-28 265 268 303 304
-29 276 303 304 273
-30 276 311 312 273
-31 311 312 281 284
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-35 302 313 303 314
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-38 319 305 306 318
-39 297 319 298 318
-40 297 298 310 311
-41 320 291 292 317
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-43 299 300 293 296
-44 299 300 301 304
-45 308 301 304 307
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-257 1 2 25 26
-258 1 2 17 18
-259 17 18 9 10
-260 25 26 9 10
-261 4 5 250 251
-262 244 245 4 5
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0

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