C4graphGraph forms for C4 [ 512, 340 ] = PL(ATD[8,2]#ATD[64,26])

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On this page are computer-accessible forms for the graph C4[ 512, 340 ] = PL(ATD[8,2]#ATD[64,26]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {256, 257} under the group generated by the following permutations:

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

(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, 340 ]
512
-1 276 387 443 437
-2 298 443 455 437
-3 375 447 339 362
-4 288 423 479 384
-5 408 435 449 472
-6 420 424 339 362
-7 418 288 390 479
-8 418 408 317 449
-9 364 346 294 493
-10 363 462 495 419
-11 331 355 368 395
-12 434 500 260 283
-13 496 310 498 415
-14 297 399 347 482
-15 301 445 457 371
-16 410 498 490 350
-17 363 462 508 389
-18 342 267 394 351
-19 341 313 292 272
-20 357 412 478 391
-21 429 500 314 261
-22 286 409 456 427
-23 278 257 401 480
-24 364 299 346 282
-25 495 419 474 291
-26 332 355 368 416
-27 473 488 434 283
-28 473 310 466 415
-29 297 344 317 482
-30 324 511 457 371
-31 410 443 400 350
-32 508 389 501 460
-33 354 281 394 351
-34 344 313 390 272
-35 324 357 412 306
-36 429 400 314 405
-37 286 409 501 382
-38 257 281 303 480
-39 442 499 273 417
-40 376 432 325 359
-41 411 502 261 296
-42 487 490 285 450
-43 473 277 388 466
-44 464 355 325 316
-45 264 475 305 338
-46 485 294 383 493
-47 430 441 413 361
-48 485 398 348 438
-49 452 343 459 328
-50 277 388 269 403
-51 366 270 370 338
-52 465 455 292 435
-53 506 399 279 423
-54 322 334 468 483
-55 451 496 487 379
-56 442 369 273 274
-57 422 433 503 373
-58 407 397 268 335
-59 430 463 304 492
-60 277 343 358 492
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-62 298 441 455 428
-63 279 403 436 328
-64 375 398 271 447
-65 355 454 378 325
-66 507 376 300 325
-67 304 393 481 428
-68 319 386 268 470
-69 266 365 446 470
-70 290 469 263 340
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-72 497 402 381 491
-73 287 312 477 448
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-77 277 343 399 347
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-80 280 302 446 425
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-82 315 348 392 426
-83 330 300 416 307
-84 330 378 258 467
-85 275 499 417 494
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-87 484 488 285 450
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-90 344 390 491 427
-91 264 346 305 362
-92 473 430 488 361
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-94 431 459 328 471
-95 275 441 474 413
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-97 431 292 435 406
-98 275 399 423 494
-99 334 512 306 483
-100 451 379 437 405
-101 369 382 274 329
-102 367 433 303 373
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-104 463 379 492 350
-105 387 314 358 492
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-109 509 269 403 406
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-112 365 475 446 338
-113 291 393 428 494
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-120 386 289 336 349
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-130 347 436 327 384
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-135 299 424 502 261
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-175 375 326 372 493
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-177 287 321 293 448
-178 321 486 456 427
-179 385 382 307 329
-180 352 366 284 504
-181 352 323 348 426
-182 385 367 258 303
-183 279 436 437 405
-184 452 388 423 384
-185 435 481 361 472
-186 407 397 370 505
-187 453 333 380 438
-188 385 507 332 258
-189 385 454 360 307
-190 374 265 346 362
-191 476 479 295 482
-192 476 313 458 449
-193 310 322 468 450
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-195 334 457 260 502
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-197 333 324 511 426
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-200 333 262 284 438
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-202 266 464 414 439
-203 396 440 447 294
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-207 453 467 392 360
-208 421 510 302 270
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-210 431 486 404 471
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-215 286 342 497 422
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-218 297 288 413 393
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-220 407 332 349 416
-221 323 370 262 505
-222 377 436 327 461
-223 396 345 305 372
-224 298 309 444 461
-225 322 301 379 350
-226 433 456 402 394
-227 409 267 381 503
-228 265 262 284 318
-229 440 326 371 483
-230 412 326 469 372
-231 364 311 339 318
-232 301 445 415 285
-233 352 299 424 284
-234 507 332 271 383
-235 475 421 454 360
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-237 432 389 369 395
-238 464 351 373 439
-239 495 509 471 417
-240 407 345 305 349
-241 380 315 447 294
-242 498 412 490 469
-243 331 508 359 274
-244 353 433 316 394
-245 506 279 444 259
-246 330 354 281 307
-247 330 258 501 460
-248 319 353 316 470
-249 319 331 359 414
-250 444 434 259 296
-251 321 486 291 494
-252 377 259 415 285
-253 377 465 455 259
-254 297 308 288 458
-255 308 408 272 295
-256 462 257 477 273
-257 88 23 256 38
-258 188 247 182 84
-259 253 245 250 252
-260 12 71 148 195
-261 135 146 41 21
-262 221 200 159 228
-263 211 70 194 141
-264 132 45 91 174
-265 190 173 228 141
-266 156 69 201 202
-267 171 18 227 142
-268 68 58 103 114
-269 50 61 109 219
-270 123 126 51 208
-271 234 127 64 108
-272 34 255 19 219
-273 56 166 256 39
-274 56 243 101 213
-275 95 85 162 98
-276 1 211 71 217
-277 77 60 50 43
-278 23 168 137 139
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-280 209 80 103 196
-281 33 246 38 236
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-283 12 27 160 194
-284 200 233 180 228
-285 232 42 87 252
-286 22 37 215 172
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-288 254 4 7 218
-289 156 81 108 120
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-291 25 113 206 251
-292 78 19 52 97
-293 177 138 162 163
-294 46 203 9 241
-295 255 191 151 152
-296 212 41 250 86
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-298 2 224 62 129
-299 24 233 135 140
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-303 102 38 236 182
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-305 45 91 223 240
-306 99 198 35 93
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-308 254 255 171 151
-309 224 129 119 76
-310 13 28 193 164
-311 231 136 158 170
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-313 34 192 19 107
-314 36 147 105 21
-315 110 82 74 241
-316 44 88 244 248
-317 169 149 29 8
-318 231 170 173 228
-319 68 157 248 249
-320 154 216 217 153
-321 177 178 163 251
-322 167 225 193 54
-323 221 158 159 181
-324 198 35 30 197
-325 44 66 40 65
-326 174 229 175 230
-327 222 61 75 130
-328 49 94 63 107
-329 209 101 179 116
-330 246 247 83 84
-331 11 243 172 249
-332 220 188 234 26
-333 187 200 127 197
-334 99 161 195 54
-335 156 58 103 108
-336 132 111 79 120
-337 209 103 236 118
-338 45 112 123 51
-339 176 231 3 6
-340 70 147 170 194
-341 78 205 19 129
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-351 33 144 18 238
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-358 60 105 216 153
-359 89 243 40 249
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-361 47 92 185 153
-362 3 91 190 6
-363 214 17 151 10
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-365 112 69 74 118
-366 79 180 51 96
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-369 56 101 237 139
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-371 146 15 30 229
-372 223 161 175 230
-373 144 57 102 238
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-376 66 155 125 40
-377 253 222 160 252
-378 110 123 84 65
-379 55 100 104 225
-380 110 121 187 241
-381 89 72 116 227
-382 199 101 179 37
-383 46 234 114 127
-384 4 184 206 130
-385 188 189 179 182
-386 68 81 114 120
-387 1 147 71 105
-388 154 50 184 43
-389 17 237 139 32
-390 34 90 168 7
-391 212 147 170 20
-392 133 82 74 207
-393 67 113 218 76
-394 33 244 226 18
-395 11 201 237 172
-396 165 223 203 161
-397 132 111 58 186
-398 122 48 64 108
-399 77 14 53 98
-400 36 31 75 119
-401 23 213 137 149
-402 169 72 138 226
-403 50 63 107 109
-404 210 137 138 162
-405 100 36 183 119
-406 97 163 109 131
-407 220 58 240 186
-408 255 5 8 219
-409 22 89 37 227
-410 16 150 216 31
-411 160 194 41 86
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-413 47 95 218 76
-414 156 157 202 249
-415 232 13 28 252
-416 220 122 26 83
-417 39 85 239 142
-418 168 169 7 8
-419 143 25 10 131
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-421 235 126 128 208
-422 143 57 215 152
-423 4 184 53 98
-424 167 233 135 6
-425 199 80 81 196
-426 82 181 127 197
-427 22 144 90 178
-428 67 113 62 106
-429 211 36 217 21
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-431 210 94 97 131
-432 89 201 237 40
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-434 12 212 27 250
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-436 222 183 63 130
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-438 187 200 48 93
-439 134 125 202 238
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-441 47 62 95 106
-442 56 214 39 151
-443 1 2 31 75
-444 245 224 250 164
-445 232 15 150 140
-446 121 112 69 80
-447 3 203 64 241
-448 177 168 73 139
-449 5 192 8 107
-450 193 42 87 164
-451 55 100 150 216
-452 154 124 49 184
-453 121 187 133 207
-454 110 189 235 65
-455 253 2 62 52
-456 22 178 169 226
-457 15 161 30 195
-458 166 254 192 171
-459 49 61 94 219
-460 209 247 116 32
-461 222 224 160 164
-462 166 256 17 10
-463 154 59 104 217
-464 44 88 202 238
-465 253 52 119 76
-466 28 204 86 43
-467 155 123 84 207
-468 193 150 140 54
-469 242 70 115 230
-470 68 69 201 248
-471 210 94 205 239
-472 5 205 129 185
-473 92 27 28 43
-474 25 95 162 206
-475 45 112 235 128
-476 166 191 192 152
-477 88 256 73 117
-478 211 212 20 141
-479 4 191 7 106
-480 23 134 38 214
-481 67 204 185 153
-482 14 191 29 106
-483 99 146 229 54
-484 124 204 86 87
-485 122 46 48 114
-486 210 178 137 251
-487 55 145 136 42
-488 124 92 27 87
-489 199 81 236 118
-490 242 136 16 42
-491 144 90 72 138
-492 59 60 104 105
-493 133 46 9 175
-494 113 85 251 98
-495 25 239 10 142
-496 55 13 145 173
-497 72 116 215 172
-498 242 13 16 173
-499 143 39 85 131
-500 12 146 148 21
-501 199 37 247 32
-502 135 71 41 195
-503 143 57 171 227
-504 198 79 180 128
-505 198 221 128 186
-506 245 61 53 75
-507 66 111 188 234
-508 243 213 17 32
-509 205 239 163 109
-510 157 74 118 208
-511 115 30 96 197
-512 99 93 115 96
0

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