C4graphGraph forms for C4 [ 512, 453 ] = BGCG(UG(ATD[256,128]);K1;{18,25})

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On this page are computer-accessible forms for the graph C4[ 512, 453 ] = BGCG(UG(ATD[256,128]);K1;{18,25}).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {256, 274} under the group generated by the following permutations:

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

(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, 453 ]
512
-1 473 486 282 326
-2 286 486 355 362
-3 330 512 284 285
-4 484 267 391 502
-5 441 293 326 296
-6 423 370 481 362
-7 374 453 317 285
-8 304 502 471 373
-9 409 388 390 424
-10 495 266 327 274
-11 487 498 270 261
-12 396 355 259 338
-13 312 379 380 512
-14 267 366 303 359
-15 265 413 293 428
-16 376 445 370 329
-17 374 420 470 307
-18 451 447 283 373
-19 409 323 459 394
-20 429 342 474 266
-21 343 498 379 492
-22 422 258 280 424
-23 278 357 401 425
-24 506 443 261 382
-25 265 299 475 461
-26 495 348 503 328
-27 462 276 441 277
-28 423 456 295 439
-29 407 453 273 449
-30 279 433 471 482
-31 386 288 508 270
-32 500 259 437 448
-33 298 442 359 262
-34 510 346 350 428
-35 264 418 376 346
-36 397 420 305 482
-37 407 419 283 263
-38 429 469 448 394
-39 343 464 400 361
-40 322 280 358 493
-41 444 271 425 447
-42 443 389 403 470
-43 352 422 479 348
-44 341 298 278 450
-45 319 496 299 404
-46 463 496 289 481
-47 363 320 475 480
-48 330 396 452 398
-49 312 456 393 426
-50 287 292 303 316
-51 300 511 358 413
-52 441 436 316 329
-53 276 331 272 307
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-55 421 323 347 318
-56 342 334 445 468
-57 411 402 492 504
-58 365 301 335 328
-59 300 410 392 439
-60 386 314 262 460
-61 291 500 393 328
-62 310 442 501 318
-63 264 260 393 351
-64 408 411 305 349
-65 310 294 371 263
-66 287 354 469 505
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-69 332 465 479 480
-70 341 257 361 372
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-73 475 367 295 372
-74 282 436 306 449
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-76 319 288 333 483
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-80 397 452 301 312
-81 462 419 356 303
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-90 410 455 368 468
-91 321 344 444 314
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-101 401 369 426 395
-102 489 292 337 382
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-104 341 320 467 395
-105 473 325 347 446
-106 385 453 468 504
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-108 507 476 466 392
-109 326 403 447 328
-110 499 501 338 471
-111 459 295 351 395
-112 408 435 372 406
-113 275 508 294 438
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-115 364 433 477 383
-116 342 478 273 427
-117 440 388 257 417
-118 327 427 340 494
-119 311 377 476 345
-120 309 421 454 415
-121 267 312 459 481
-122 485 289 489 505
-123 375 509 434 273
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-125 308 364 302 491
-126 297 509 336 306
-127 387 281 338 416
-128 440 435 315 494
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-130 320 378 457 384
-131 377 499 391 472
-132 475 422 304 285
-133 298 369 293 306
-134 498 337 348 491
-135 377 481 373 483
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-154 347 337 327 395
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-156 265 280 502 317
-157 286 400 406 417
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-161 367 302 284 472
-162 268 336 391 458
-163 325 382 426 494
-164 385 290 478 296
-165 353 399 378 339
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-168 286 341 266 498
-169 299 453 258 373
-170 431 300 326 502
-171 374 424 471 461
-172 411 469 295 318
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-175 374 440 339 394
-176 385 277 377 404
-177 486 267 460 439
-178 310 423 402 505
-179 375 419 258 436
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-181 506 321 491 449
-182 279 357 360 306
-183 452 500 416 450
-184 330 440 288 356
-185 332 304 360 384
-186 401 292 446 427
-187 409 411 261 437
-188 451 488 346 272
-189 432 467 350 307
-190 286 347 350 384
-191 484 452 257 483
-192 398 333 388 334
-193 399 436 493 274
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-196 266 354 464 512
-197 299 346 425 263
-198 386 343 437 329
-199 432 443 424 305
-200 396 466 380 482
-201 287 442 504 439
-202 496 310 376 278
-203 400 259 370 460
-204 397 413 480 263
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-206 354 456 501 492
-207 304 318 406 472
-208 275 268 402 317
-209 335 426 383 450
-210 276 431 478 428
-211 352 331 510 335
-212 332 300 283 482
-213 376 500 262 361
-214 313 445 449 296
-215 464 445 314 448
-216 288 289 269 358
-217 276 375 487 292
-218 287 277 455 258
-219 365 456 416 461
-220 353 420 435 469
-221 476 423 283 438
-222 419 358 479 305
-223 364 430 457 273
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-228 257 381 480 459
-229 407 366 290 334
-230 386 485 271 493
-231 352 364 343 490
-232 509 260 262 428
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-244 410 372 416 438
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-251 264 319 401 294
-252 408 388 414 382
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-258 22 179 169 218
-259 12 224 203 32
-260 232 92 246 63
-261 11 187 24 136
-262 33 232 213 60
-263 37 204 65 197
-264 35 63 240 251
-265 156 25 15 153
-266 168 20 196 10
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-273 123 223 116 29
-274 256 193 75 10
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-311 159 83 140 119
-312 121 13 80 49
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-315 247 226 128 96
-316 50 52 240 87
-317 156 137 7 208
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-319 45 147 251 76
-320 47 104 239 130
-321 91 137 181 83
-322 242 89 79 40
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-325 78 105 160 163
-326 1 5 170 109
-327 154 253 118 10
-328 58 26 61 109
-329 198 145 16 52
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-331 67 167 211 53
-332 69 212 185 98
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-335 209 211 58 54
-336 126 107 162 153
-337 143 154 134 102
-338 110 12 233 127
-339 165 194 141 175
-340 124 180 71 118
-341 44 168 70 104
-342 56 116 20 174
-343 198 231 39 21
-344 91 246 71 96
-345 79 225 239 119
-346 34 188 35 197
-347 55 154 190 105
-348 134 146 26 43
-349 93 236 249 64
-350 34 189 190 85
-351 111 237 205 63
-352 231 68 211 43
-353 165 220 236 129
-354 66 95 206 196
-355 12 78 2 136
-356 99 145 81 184
-357 23 83 182 250
-358 222 40 51 216
-359 33 14 152 153
-360 82 182 86 185
-361 70 213 39 205
-362 2 6 140 174
-363 47 159 205 86
-364 231 223 125 115
-365 58 194 107 219
-366 14 150 151 229
-367 149 73 161 107
-368 90 233 234 92
-369 133 101 124 92
-370 16 203 225 6
-371 245 94 250 65
-372 112 244 70 73
-373 135 169 18 8
-374 17 171 7 175
-375 242 123 179 217
-376 35 202 213 16
-377 176 135 119 131
-378 165 242 226 130
-379 100 13 151 21
-380 13 200 160 152
-381 94 149 248 228
-382 24 102 163 252
-383 209 158 115 239
-384 190 227 130 185
-385 176 106 141 164
-386 198 60 31 230
-387 253 243 127 95
-388 192 117 9 252
-389 82 139 85 42
-390 72 194 249 9
-391 255 4 162 131
-392 255 59 108 241
-393 49 247 61 63
-394 38 138 19 175
-395 154 111 101 104
-396 12 200 48 147
-397 36 80 158 204
-398 143 100 48 192
-399 165 193 86 142
-400 157 82 203 39
-401 23 101 251 186
-402 57 178 71 208
-403 149 205 42 109
-404 176 45 107 250
-405 253 67 237 96
-406 112 233 157 207
-407 37 29 195 229
-408 112 235 64 252
-409 187 19 151 9
-410 254 90 244 59
-411 187 57 172 64
-412 84 129 97 241
-413 234 15 204 51
-414 77 247 87 252
-415 224 247 160 120
-416 244 127 183 219
-417 157 147 117 98
-418 35 79 227 250
-419 222 179 37 81
-420 220 36 17 195
-421 55 82 237 120
-422 22 132 100 43
-423 221 178 6 28
-424 22 199 171 9
-425 23 139 41 197
-426 209 101 49 163
-427 116 150 118 186
-428 34 210 232 15
-429 136 38 20 142
-430 79 223 180 137
-431 88 210 170 54
-432 77 199 68 189
-433 78 115 227 30
-434 88 123 255 239
-435 220 243 112 128
-436 179 193 52 74
-437 77 187 198 32
-438 155 221 244 113
-439 177 201 59 28
-440 117 128 184 175
-441 103 5 27 52
-442 33 201 234 62
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-444 91 146 84 41
-445 56 16 214 215
-446 155 105 140 186
-447 18 41 140 109
-448 38 215 226 32
-449 181 214 29 74
-450 44 209 136 183
-451 188 225 18 54
-452 80 48 191 183
-453 169 7 29 106
-454 155 225 240 120
-455 243 90 145 218
-456 49 28 206 219
-457 77 223 249 130
-458 114 148 72 162
-459 121 111 19 228
-460 88 177 60 203
-461 25 158 171 219
-462 245 81 27 93
-463 46 71 151 97
-464 67 39 215 196
-465 167 69 95 195
-466 166 200 236 108
-467 189 104 149 54
-468 56 90 235 106
-469 66 220 38 172
-470 103 17 42 142
-471 110 171 8 30
-472 161 85 207 131
-473 1 254 124 105
-474 144 180 173 20
-475 132 25 47 73
-476 221 245 108 119
-477 242 67 256 115
-478 210 68 116 164
-479 222 69 238 43
-480 47 69 204 228
-481 121 46 135 6
-482 200 36 212 30
-483 155 135 191 76
-484 99 254 4 191
-485 122 246 87 230
-486 1 144 177 2
-487 11 145 217 174
-488 188 68 180 84
-489 89 122 102 124
-490 143 231 237 87
-491 134 125 181 75
-492 57 238 206 21
-493 83 193 40 230
-494 128 118 163 142
-495 167 26 103 10
-496 45 46 202 152
-497 256 248 95 129
-498 11 134 168 21
-499 110 166 194 131
-500 213 61 183 32
-501 110 160 62 206
-502 156 4 170 8
-503 166 26 224 139
-504 57 201 106 150
-505 66 122 178 114
-506 24 181 249 86
-507 248 85 108 98
-508 243 113 114 31
-509 232 123 126 227
-510 34 78 166 211
-511 137 51 195 97
-512 13 3 138 196
0

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