C4graphGraph forms for C4 [ 512, 493 ] = BGCG(UG(ATD[256,194]);K1;{2,3,6,7})

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On this page are computer-accessible forms for the graph C4[ 512, 493 ] = BGCG(UG(ATD[256,194]);K1;{2,3,6,7}).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {256, 284} under the group generated by the following permutations:

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

(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, 493 ]
512
-1 398 412 380 326
-2 457 326 469 502
-3 473 480 317 460
-4 264 511 317 450
-5 398 344 391 415
-6 301 389 422 457
-7 440 490 480 472
-8 440 266 306 450
-9 264 302 324 403
-10 442 403 382 472
-11 407 380 447 494
-12 324 480 361 263
-13 363 442 388 450
-14 353 456 336 502
-15 473 449 329 351
-16 264 424 393 449
-17 344 357 285 439
-18 385 419 267 301
-19 352 441 288 472
-20 386 441 266 315
-21 264 462 331 372
-22 341 476 509 472
-23 407 354 458 502
-24 462 510 263 329
-25 341 363 304 315
-26 388 477 390 480
-27 447 350 405 384
-28 398 262 405 417
-29 473 323 491 372
-30 386 509 477 437
-31 313 457 436 384
-32 330 436 458 417
-33 453 412 373 384
-34 474 421 469 417
-35 286 463 326 350
-36 407 463 262 373
-37 323 424 316 263
-38 363 288 487 437
-39 407 474 313 493
-40 330 420 326 493
-41 335 391 260 425
-42 355 422 272 317
-43 374 440 342 364
-44 440 375 430 433
-45 399 477 403 306
-46 364 498 489 382
-47 344 466 368 447
-48 375 388 498 284
-49 353 452 324 394
-50 475 459 449 482
-51 292 448 449 406
-52 275 467 273 439
-53 265 287 267 488
-54 352 485 269 271
-55 485 257 291 315
-56 409 379 292 372
-57 484 509 290 271
-58 389 435 458 428
-59 409 510 347 482
-60 484 387 464 315
-61 374 388 465 478
-62 429 359 447 427
-63 309 332 398 427
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-65 298 509 257 444
-66 365 402 457 492
-67 432 367 458 492
-68 391 446 359 373
-69 474 410 432 422
-70 286 429 337 415
-71 332 368 337 373
-72 366 347 316 406
-73 387 487 444 269
-74 474 365 413 428
-75 420 301 367 413
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-80 420 410 402 435
-81 266 390 382 438
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-88 454 487 290 291
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-91 484 508 424 328
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-101 352 477 401 304
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-111 335 435 317 471
-112 342 379 350 395
-113 430 366 262 395
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-116 321 366 498 494
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-119 333 489 292 340
-120 275 343 486 470
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-123 376 378 291 461
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-125 271 293 339 307
-126 308 419 499 428
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-131 299 345 427 439
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-133 298 293 414 461
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-161 265 433 479 437
-162 309 485 356 313
-163 330 485 333 359
-164 290 356 368 469
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-167 332 322 443 260
-168 330 444 368 370
-169 365 443 272 360
-170 279 367 360 471
-171 308 279 434 391
-172 507 279 422 302
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-175 319 444 313 415
-176 507 365 335 361
-177 397 355 367 361
-178 309 354 464 370
-179 397 443 302 435
-180 385 443 466 434
-181 342 399 270 284
-182 354 333 290 415
-183 418 442 504 329
-184 299 327 394 296
-185 408 500 261 296
-186 353 500 511 349
-187 299 511 383 274
-188 452 261 460 274
-189 278 455 416 395
-190 468 295 395 505
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-192 275 506 276 483
-193 321 358 468 392
-194 310 289 459 470
-195 343 465 476 362
-196 495 510 338 448
-197 345 411 392 425
-198 378 325 381 425
-199 345 434 293 416
-200 287 499 346 470
-201 334 378 357 416
-202 321 278 512 381
-203 276 268 281 303
-204 497 322 293 381
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-206 377 499 303 318
-207 431 268 423 467
-208 265 486 423 318
-209 396 287 281 273
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-211 322 312 357 392
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-213 327 349 460 285
-214 280 381 294 505
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-218 312 434 325 295
-219 463 401 358 328
-220 258 369 512 295
-221 258 280 358 416
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-225 311 369 413 307
-226 331 419 390 483
-227 314 468 492 307
-228 389 445 369 461
-229 467 490 371 393
-230 371 306 329 483
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-243 451 397 274 362
-244 507 300 479 274
-245 409 508 300 470
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-251 300 400 282 406
-252 343 433 501 304
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-256 441 346 501 284
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-258 220 221 156 240
-259 246 247 237 107
-260 143 167 135 41
-261 110 188 105 185
-262 145 36 113 28
-263 12 24 37 84
-264 4 16 9 21
-265 254 161 53 208
-266 81 148 8 20
-267 134 18 205 53
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-269 99 73 107 54
-270 78 181 127 118
-271 122 57 125 54
-272 158 169 42 241
-273 209 105 106 52
-274 187 188 243 244
-275 212 192 52 120
-276 115 192 203 130
-277 143 232 233 142
-278 189 223 234 202
-279 166 170 171 172
-280 231 221 214 238
-281 209 233 235 203
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-283 236 237 96 108
-284 255 256 48 181
-285 92 213 17 138
-286 155 35 70 82
-287 209 210 200 53
-288 38 94 19 108
-289 242 246 117 194
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-291 55 88 123 153
-292 56 124 51 119
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-294 145 114 191 214
-295 220 190 215 218
-296 77 184 86 185
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-299 187 149 184 131
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-301 143 6 18 75
-302 77 179 172 9
-303 89 203 205 206
-304 253 101 25 252
-305 146 234 238 153
-306 45 233 8 230
-307 125 225 128 227
-308 147 126 171 174
-309 178 82 63 162
-310 99 154 194 249
-311 223 225 105 98
-312 211 141 218 153
-313 39 162 31 175
-314 110 231 144 227
-315 55 25 60 20
-316 37 72 150 87
-317 111 3 4 42
-318 247 248 206 208
-319 132 165 157 175
-320 99 100 90 95
-321 202 116 193 129
-322 166 167 211 204
-323 233 37 93 29
-324 12 92 49 9
-325 198 138 130 218
-326 1 2 35 40
-327 144 213 184 98
-328 154 91 94 219
-329 24 15 183 230
-330 168 40 163 32
-331 232 226 150 21
-332 167 71 63 174
-333 182 140 119 163
-334 201 215 173 174
-335 176 111 41 173
-336 14 224 104 238
-337 70 71 138 139
-338 121 246 64 196
-339 132 124 125 153
-340 146 128 118 119
-341 22 100 25 97
-342 112 181 240 43
-343 205 195 120 252
-344 47 5 115 17
-345 199 139 131 197
-346 200 256 216 239
-347 59 72 127 140
-348 102 103 107 97
-349 242 213 250 186
-350 35 112 114 27
-351 90 15 237 150
-352 79 101 19 54
-353 14 49 106 186
-354 23 178 182 76
-355 177 160 42 174
-356 118 162 152 164
-357 211 201 136 17
-358 221 103 193 219
-359 165 68 62 163
-360 169 170 83 84
-361 176 12 177 86
-362 243 158 195 239
-363 13 25 38 85
-364 253 46 239 43
-365 66 176 169 74
-366 113 72 116 64
-367 67 177 170 75
-368 47 168 71 164
-369 220 191 225 228
-370 178 124 168 127
-371 134 135 229 230
-372 56 29 64 21
-373 33 68 36 71
-374 132 61 140 43
-375 44 124 48 152
-376 122 123 157 127
-377 253 255 212 206
-378 198 123 201 128
-379 56 112 129 87
-380 11 1 94 95
-381 198 202 214 204
-382 78 46 81 10
-383 187 92 104 109
-384 33 27 31 76
-385 180 137 18 173
-386 103 95 30 20
-387 60 73 128 141
-388 13 26 48 61
-389 231 58 6 228
-390 26 81 235 226
-391 68 5 171 41
-392 211 191 193 197
-393 235 16 151 229
-394 158 49 117 184
-395 112 189 113 190
-396 209 138 149 217
-397 242 177 243 179
-398 1 5 28 63
-399 45 159 181 85
-400 246 205 216 251
-401 101 148 236 219
-402 66 134 80 147
-403 45 83 9 10
-404 83 150 151 86
-405 103 27 28 108
-406 72 51 249 251
-407 11 23 36 39
-408 222 92 185 241
-409 56 245 59 247
-410 69 80 223 224
-411 122 146 215 197
-412 33 1 156 129
-413 225 238 74 75
-414 133 140 141 152
-415 70 5 182 175
-416 199 221 189 201
-417 34 155 28 32
-418 89 210 232 183
-419 93 126 226 18
-420 80 40 75 76
-421 34 144 106 76
-422 69 6 172 42
-423 216 217 207 208
-424 91 37 16 107
-425 198 160 41 197
-426 166 134 160 142
-427 62 63 130 131
-428 58 126 74 142
-429 166 70 62 173
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-494 11 155 116 240
-495 157 152 196 87
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-502 23 2 14 98
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-512 220 100 202 108
0

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