C4graphGraph forms for C4 [ 512, 344 ] = PL(ATD[8,2]#ATD[64,31])

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On this page are computer-accessible forms for the graph C4[ 512, 344 ] = PL(ATD[8,2]#ATD[64,31]).

(I) Following is a form readable by MAGMA:

g:=Graph<512|{ {256, 274}, {256, 338}, {256, 365}, {256, 510}, {15, 271}, {249, 505}, {163, 419}, {77, 333}, {185, 441}, {2, 259}, {252, 509}, {143, 398}, {117, 372}, {5, 260}, {75, 330}, {76, 333}, {72, 330}, {251, 505}, {132, 390}, {107, 361}, {165, 423}, {156, 415}, {248, 507}, {125, 377}, {104, 365}, {172, 425}, {198, 451}, {55, 305}, {252, 506}, {160, 422}, {145, 407}, {75, 333}, {41, 302}, {93, 346}, {171, 428}, {221, 474}, {92, 340}, {145, 409}, {97, 361}, {106, 354}, {203, 451}, {95, 342}, {210, 475}, {55, 317}, {167, 429}, {198, 460}, {7, 268}, {148, 415}, {113, 378}, {32, 300}, {36, 296}, {59, 311}, {224, 492}, {118, 379}, {245, 504}, {136, 389}, {177, 444}, {3, 269}, {33, 303}, {44, 290}, {104, 358}, {222, 464}, {3, 268}, {161, 430}, {138, 389}, {67, 332}, {126, 366}, {228, 500}, {231, 502}, {46, 316}, {133, 407}, {69, 343}, {217, 459}, {51, 288}, {149, 390}, {92, 335}, {112, 355}, {158, 394}, {99, 374}, {250, 495}, {123, 366}, {221, 456}, {57, 303}, {164, 434}, {61, 299}, {69, 339}, {96, 374}, {102, 368}, {165, 435}, {223, 457}, {45, 314}, {179, 420}, {194, 469}, {5, 285}, {127, 359}, {20, 268}, {78, 342}, {183, 431}, {238, 502}, {34, 315}, {123, 354}, {39, 318}, {64, 345}, {187, 418}, {240, 489}, {16, 266}, {37, 319}, {44, 310}, {62, 292}, {81, 331}, {111, 373}, {167, 445}, {28, 263}, {254, 485}, {124, 359}, {53, 302}, {197, 478}, {199, 476}, {17, 269}, {63, 291}, {192, 476}, {206, 466}, {133, 408}, {255, 482}, {153, 388}, {139, 406}, {170, 439}, {193, 476}, {42, 308}, {168, 438}, {34, 317}, {54, 297}, {106, 373}, {203, 468}, {97, 321}, {148, 436}, {224, 448}, {234, 458}, {24, 313}, {157, 444}, {150, 439}, {148, 437}, {197, 484}, {202, 491}, {221, 508}, {20, 310}, {251, 473}, {31, 317}, {49, 275}, {71, 357}, {203, 489}, {229, 455}, {91, 376}, {249, 474}, {217, 506}, {224, 451}, {114, 342}, {123, 351}, {168, 396}, {200, 492}, {240, 468}, {6, 291}, {13, 296}, {92, 377}, {103, 322}, {69, 355}, {246, 464}, {132, 418}, {125, 347}, {181, 403}, {210, 500}, {225, 455}, {19, 308}, {33, 262}, {178, 405}, {244, 467}, {10, 291}, {38, 271}, {22, 316}, {247, 477}, {140, 422}, {126, 340}, {74, 352}, {107, 321}, {187, 401}, {89, 370}, {225, 458}, {86, 378}, {253, 465}, {135, 427}, {93, 369}, {212, 504}, {31, 306}, {128, 429}, {39, 266}, {192, 493}, {16, 318}, {57, 279}, {187, 405}, {21, 314}, {130, 429}, {23, 312}, {92, 371}, {214, 505}, {229, 458}, {11, 315}, {98, 338}, {191, 399}, {237, 477}, {18, 291}, {165, 404}, {140, 445}, {183, 390}, {193, 496}, {88, 362}, {195, 497}, {29, 302}, {151, 420}, {118, 325}, {38, 277}, {52, 263}, {175, 412}, {60, 264}, {124, 328}, {188, 392}, {230, 466}, {48, 261}, {201, 508}, {20, 290}, {154, 428}, {152, 430}, {82, 356}, {103, 337}, {127, 328}, {161, 409}, {165, 413}, {241, 457}, {24, 289}, {9, 307}, {248, 450}, {117, 335}, {82, 360}, {134, 445}, {207, 500}, {38, 282}, {239, 467}, {65, 380}, {202, 503}, {60, 258}, {191, 385}, {242, 460}, {33, 286}, {151, 424}, {118, 329}, {200, 503}, {228, 475}, {66, 258}, {136, 456}, {124, 316}, {6, 327}, {164, 485}, {46, 367}, {79, 270}, {175, 494}, {179, 498}, {204, 397}, {213, 404}, {218, 411}, {223, 414}, {228, 421}, {22, 340}, {135, 453}, {28, 350}, {24, 347}, {140, 463}, {27, 344}, {95, 284}, {204, 399}, {21, 337}, {48, 372}, {86, 274}, {52, 369}, {127, 314}, {108, 297}, {73, 271}, {255, 441}, {115, 309}, {184, 510}, {199, 385}, {206, 392}, {6, 321}, {120, 319}, {58, 381}, {168, 495}, {206, 393}, {3, 331}, {153, 465}, {140, 452}, {79, 263}, {136, 449}, {142, 455}, {236, 421}, {19, 345}, {142, 452}, {86, 284}, {108, 294}, {216, 402}, {109, 294}, {241, 442}, {7, 331}, {142, 450}, {134, 458}, {131, 463}, {45, 353}, {215, 411}, {8, 325}, {128, 461}, {65, 268}, {95, 274}, {222, 403}, {105, 295}, {150, 472}, {233, 423}, {32, 367}, {64, 271}, {10, 346}, {254, 430}, {249, 425}, {144, 448}, {58, 362}, {227, 435}, {44, 381}, {164, 501}, {82, 259}, {204, 413}, {226, 435}, {72, 282}, {141, 479}, {116, 294}, {75, 281}, {121, 298}, {160, 499}, {174, 509}, {178, 481}, {18, 326}, {23, 323}, {47, 379}, {97, 309}, {53, 352}, {205, 408}, {1, 343}, {40, 382}, {66, 276}, {67, 277}, {21, 322}, {145, 454}, {135, 464}, {37, 370}, {56, 367}, {166, 497}, {208, 391}, {234, 445}, {16, 328}, {155, 451}, {240, 424}, {80, 265}, {104, 305}, {45, 375}, {176, 490}, {182, 492}, {183, 493}, {242, 424}, {109, 305}, {132, 472}, {29, 320}, {246, 427}, {162, 511}, {30, 323}, {34, 380}, {162, 508}, {46, 368}, {237, 435}, {7, 344}, {126, 289}, {68, 283}, {199, 408}, {71, 295}, {146, 498}, {126, 286}, {208, 432}, {27, 378}, {247, 406}, {82, 304}, {250, 408}, {146, 496}, {4, 359}, {248, 411}, {131, 480}, {120, 283}, {90, 313}, {167, 452}, {191, 476}, {193, 418}, {64, 292}, {253, 409}, {96, 260}, {22, 371}, {122, 287}, {83, 310}, {223, 442}, {22, 368}, {119, 273}, {35, 325}, {59, 348}, {66, 293}, {112, 279}, {216, 447}, {20, 380}, {99, 267}, {190, 470}, {137, 480}, {2, 360}, {253, 407}, {129, 491}, {81, 315}, {188, 470}, {12, 359}, {115, 280}, {48, 347}, {51, 344}, {169, 450}, {210, 441}, {211, 440}, {23, 379}, {24, 372}, {47, 323}, {60, 336}, {103, 267}, {167, 459}, {73, 292}, {158, 499}, {172, 449}, {39, 329}, {150, 504}, {111, 257}, {17, 382}, {41, 326}, {43, 324}, {50, 349}, {68, 299}, {176, 479}, {183, 472}, {192, 431}, {230, 393}, {231, 392}, {40, 344}, {85, 293}, {113, 257}, {207, 447}, {213, 421}, {177, 448}, {185, 456}, {58, 328}, {209, 419}, {114, 257}, {146, 481}, {21, 353}, {147, 487}, {132, 496}, {98, 278}, {166, 466}, {243, 391}, {28, 361}, {142, 507}, {141, 507}, {226, 404}, {11, 380}, {155, 492}, {237, 410}, {244, 387}, {110, 278}, {144, 488}, {117, 269}, {111, 279}, {181, 461}, {185, 449}, {190, 454}, {195, 443}, {236, 404}, {89, 288}, {159, 486}, {227, 410}, {87, 301}, {153, 483}, {147, 489}, {177, 459}, {188, 454}, {196, 446}, {90, 289}, {166, 477}, {232, 403}, {237, 406}, {14, 370}, {84, 296}, {29, 352}, {144, 493}, {80, 301}, {96, 285}, {186, 455}, {211, 430}, {158, 480}, {186, 452}, {228, 410}, {122, 261}, {205, 434}, {12, 396}, {83, 467}, {208, 336}, {33, 416}, {163, 290}, {152, 281}, {49, 432}, {85, 471}, {89, 475}, {171, 297}, {236, 366}, {3, 384}, {73, 461}, {247, 371}, {218, 350}, {25, 412}, {250, 383}, {160, 293}, {159, 282}, {244, 369}, {100, 482}, {189, 315}, {232, 366}, {238, 360}, {239, 361}, {101, 482}, {255, 376}, {234, 365}, {4, 396}, {70, 462}, {194, 330}, {213, 349}, {218, 338}, {50, 443}, {189, 308}, {199, 334}, {8, 386}, {159, 277}, {119, 509}, {13, 391}, {14, 388}, {43, 417}, {47, 421}, {95, 469}, {208, 346}, {121, 498}, {184, 307}, {58, 438}, {245, 377}, {61, 433}, {94, 466}, {112, 509}, {136, 261}, {115, 510}, {170, 295}, {178, 319}, {149, 283}, {194, 332}, {229, 363}, {230, 360}, {31, 400}, {162, 301}, {129, 270}, {115, 508}, {30, 398}, {252, 364}, {133, 277}, {128, 272}, {120, 488}, {245, 357}, {17, 384}, {56, 425}, {188, 301}, {57, 427}, {130, 272}, {26, 393}, {93, 457}, {98, 502}, {53, 416}, {156, 265}, {180, 289}, {35, 437}, {6, 401}, {131, 276}, {7, 400}, {28, 395}, {206, 345}, {110, 502}, {122, 482}, {235, 371}, {18, 395}, {151, 270}, {124, 485}, {44, 437}, {57, 416}, {25, 387}, {116, 494}, {37, 447}, {84, 462}, {10, 401}, {250, 353}, {153, 258}, {219, 320}, {30, 386}, {179, 303}, {35, 446}, {137, 276}, {211, 334}, {218, 327}, {42, 436}, {97, 510}, {117, 490}, {68, 484}, {26, 443}, {164, 261}, {135, 294}, {35, 386}, {225, 320}, {91, 505}, {169, 267}, {212, 374}, {25, 442}, {107, 456}, {233, 330}, {243, 336}, {50, 406}, {66, 486}, {71, 483}, {76, 488}, {55, 402}, {233, 332}, {16, 438}, {137, 303}, {85, 499}, {87, 497}, {186, 284}, {19, 436}, {246, 337}, {55, 400}, {114, 469}, {180, 275}, {2, 426}, {158, 310}, {87, 511}, {174, 262}, {25, 432}, {150, 319}, {131, 298}, {39, 398}, {173, 260}, {178, 283}, {11, 417}, {233, 323}, {1, 426}, {163, 264}, {46, 389}, {100, 463}, {222, 373}, {77, 481}, {155, 311}, {123, 471}, {200, 356}, {2, 431}, {157, 304}, {1, 431}, {147, 317}, {23, 441}, {101, 459}, {196, 362}, {214, 376}, {245, 347}, {94, 497}, {110, 449}, {174, 286}, {254, 334}, {9, 440}, {116, 453}, {14, 447}, {107, 474}, {212, 357}, {215, 358}, {239, 350}, {12, 446}, {149, 295}, {49, 387}, {84, 486}, {175, 285}, {205, 383}, {217, 363}, {238, 348}, {243, 321}, {73, 506}, {93, 494}, {109, 478}, {224, 339}, {241, 322}, {54, 386}, {162, 278}, {63, 395}, {113, 453}, {189, 265}, {235, 351}, {242, 326}, {243, 327}, {47, 410}, {145, 292}, {134, 307}, {166, 275}, {217, 364}, {104, 478}, {121, 463}, {105, 479}, {240, 326}, {52, 387}, {159, 296}, {119, 448}, {114, 453}, {197, 370}, {204, 379}, {220, 363}, {232, 351}, {40, 400}, {54, 398}, {12, 437}, {30, 423}, {10, 432}, {62, 388}, {106, 464}, {173, 279}, {230, 348}, {29, 422}, {161, 282}, {50, 393}, {101, 473}, {146, 302}, {187, 263}, {227, 351}, {1, 444}, {5, 440}, {89, 484}, {100, 473}, {106, 471}, {176, 269}, {205, 368}, {15, 433}, {141, 307}, {70, 504}, {231, 345}, {52, 395}, {64, 511}, {90, 485}, {96, 479}, {197, 378}, {14, 462}, {108, 428}, {195, 259}, {202, 266}, {15, 462}, {249, 312}, {43, 490}, {78, 399}, {185, 376}, {41, 491}, {254, 316}, {43, 489}, {68, 390}, {70, 388}, {94, 412}, {99, 417}, {100, 422}, {200, 266}, {226, 288}, {78, 397}, {251, 312}, {144, 339}, {220, 287}, {8, 460}, {36, 480}, {86, 402}, {202, 270}, {219, 287}, {17, 468}, {138, 335}, {129, 324}, {27, 478}, {34, 487}, {48, 501}, {72, 397}, {209, 276}, {221, 280}, {75, 397}, {143, 329}, {91, 413}, {171, 365}, {213, 275}, {110, 425}, {155, 348}, {127, 440}, {4, 460}, {101, 429}, {182, 382}, {156, 341}, {168, 353}, {157, 343}, {201, 259}, {119, 444}, {133, 334}, {215, 284}, {225, 298}, {67, 399}, {154, 342}, {77, 385}, {220, 272}, {242, 318}, {56, 501}, {248, 309}, {76, 385}, {171, 358}, {174, 355}, {196, 265}, {247, 313}, {63, 496}, {80, 415}, {184, 375}, {222, 273}, {42, 506}, {102, 438}, {226, 306}, {72, 409}, {139, 346}, {130, 339}, {179, 354}, {88, 394}, {120, 426}, {182, 356}, {190, 364}, {235, 313}, {26, 457}, {154, 329}, {59, 488}, {51, 487}, {67, 407}, {83, 391}, {102, 434}, {32, 501}, {152, 333}, {130, 343}, {128, 341}, {59, 493}, {139, 349}, {69, 403}, {181, 355}, {36, 499}, {251, 300}, {147, 324}, {77, 405}, {80, 392}, {173, 373}, {193, 281}, {15, 470}, {61, 484}, {83, 394}, {192, 281}, {60, 486}, {177, 363}, {41, 498}, {81, 394}, {112, 427}, {13, 465}, {125, 417}, {186, 358}, {62, 483}, {121, 420}, {13, 467}, {161, 383}, {61, 483}, {63, 481}, {65, 415}, {79, 401}, {105, 439}, {169, 375}, {170, 372}, {223, 257}, {74, 405}, {154, 325}, {201, 278}, {212, 267}, {160, 320}, {255, 287}, {180, 340}, {181, 341}, {11, 490}, {53, 471}, {56, 474}, {78, 428}, {215, 309}, {54, 469}, {99, 384}, {113, 402}, {94, 442}, {207, 299}, {214, 306}, {84, 433}, {143, 362}, {138, 367}, {170, 335}, {227, 262}, {9, 495}, {76, 426}, {88, 446}, {42, 461}, {152, 383}, {79, 424}, {239, 264}, {51, 475}, {116, 412}, {74, 418}, {90, 434}, {148, 381}, {180, 349}, {211, 314}, {216, 305}, {5, 495}, {102, 396}, {184, 338}, {210, 312}, {31, 500}, {246, 285}, {137, 354}, {118, 413}, {172, 327}, {190, 341}, {194, 297}, {19, 511}, {49, 477}, {87, 443}, {235, 262}, {252, 273}, {74, 420}, {45, 450}, {173, 322}, {38, 470}, {156, 364}, {149, 357}, {196, 308}, {220, 300}, {70, 439}, {134, 375}, {111, 414}, {219, 298}, {9, 507}, {143, 381}, {81, 419}, {108, 414}, {172, 350}, {182, 324}, {236, 286}, {4, 503}, {163, 336}, {138, 377}, {109, 414}, {191, 332}, {209, 290}, {216, 299}, {26, 494}, {195, 311}, {209, 293}, {36, 465}, {65, 436}, {85, 416}, {229, 272}, {241, 260}, {71, 433}, {189, 331}, {198, 304}, {214, 288}, {238, 280}, {151, 352}, {219, 300}, {62, 454}, {198, 318}, {234, 274}, {18, 491}, {157, 356}, {32, 473}, {98, 411}, {232, 273}, {139, 369}, {88, 419}, {141, 374}, {203, 304}, {27, 487}, {40, 468}, {91, 423}, {244, 264}, {37, 472}, {125, 384}, {207, 306}, {175, 337}, {201, 311}, {8, 503}, {253, 258}, {129, 382}, {122, 389}, {231, 280}, {103, 512}, {105, 512}, {169, 512}, {176, 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: (111, 135)(116, 223)(173, 246)(175, 241)(257, 453)(260, 285)(279, 427)(294, 414)(322, 337)(373, 464)(412, 442)(457, 494)
b: (6, 28)(10, 52)(18, 79)(41, 151)(63, 187)(74, 146)(208, 244)(239, 243)(263, 291)(264, 336)(270, 491)(302, 352)(321, 361)(326, 424)(327, 350)(346, 369)(387, 432)(391, 467)(395, 401)(405, 481)(418, 496)(420, 498)
c: (87, 206)(97, 218)(98, 115)(107, 172)(110, 221)(162, 231)(195, 230)(201, 238)(259, 360)(278, 280)(301, 392)(309, 411)(311, 348)(321, 327)(338, 510)(345, 511)(350, 361)(393, 443)(425, 474)(449, 456)(466, 497)(502, 508)
d: (33, 123)(57, 106)(112, 222)(174, 232)(262, 351)(273, 509)(279, 373)(286, 366)(303, 354)(355, 403)(416, 471)(427, 464)
e: (1, 3, 165, 98, 151, 61, 164, 25)(2, 17, 226, 110, 79, 68, 48, 49)(4, 113, 101, 83, 191, 141, 123, 188)(5, 222, 156, 35, 95, 140, 36, 133)(6, 132, 170, 180, 195, 182, 31, 185, 28, 178, 245, 247, 230, 203, 51, 249)(7, 91, 218, 74, 71, 90, 94, 157)(8, 86, 100, 13, 199, 96, 232, 80)(9, 106, 190, 12, 114, 167, 158, 67)(10, 183, 117, 213, 201, 129, 207, 136, 52, 120, 125, 237, 238, 240, 89, 56)(11, 47, 115, 41, 14, 46, 93, 144)(15, 124, 223, 177, 81, 204, 184, 53)(16, 109, 220, 163, 75, 169, 33, 64)(18, 37, 138, 139, 59, 43, 228, 221)(19, 39, 104, 219, 60, 152, 103, 174)(20, 233, 248, 179, 62, 102, 116, 130)(21, 112, 42, 143, 171, 225, 66, 161)(22, 26, 224, 34, 23, 97, 146, 70)(24, 166, 82, 40, 214, 172, 187, 149)(27, 251, 243, 193, 105, 126, 87, 200, 55, 255, 239, 77, 212, 235, 206, 198)(29, 84, 254, 241, 119, 189, 118, 256)(30, 215, 121, 153, 205, 175, 69, 65)(32, 208, 192, 176, 236, 162, 202, 216, 122, 244, 76, 99, 227, 231, 242, 197)(38, 127, 111, 217, 88, 78, 134, 85)(44, 194, 142, 137, 145, 168, 135, 128)(45, 57, 73, 58, 108, 229, 209, 72)(50, 155, 147, 210, 107, 63, 150, 92)(54, 186, 131, 253, 250, 246, 181, 148)(154, 234, 160, 159, 211, 173, 252, 196)(257, 459, 394, 399, 307, 471, 470, 359)(258, 383, 337, 355, 436, 398, 358, 298)(259, 382, 306, 449, 263, 283, 347, 477, 360, 468, 288, 425, 401, 390, 372, 275)(260, 273, 265, 325, 274, 422, 296, 334)(261, 387, 426, 384, 435, 502, 424, 484, 501, 432, 431, 269, 404, 278, 270, 299)(262, 345, 318, 478, 300, 336, 281, 512, 286, 511, 266, 305, 287, 264, 333, 267)(268, 423, 411, 420, 483, 434, 412, 343)(271, 328, 414, 363, 419, 397, 375, 416)(272, 290, 330, 450, 303, 292, 438, 294)(276, 409, 353, 427, 461, 381, 297, 455)(277, 440, 373, 364, 446, 342, 445, 499)(279, 506, 362, 428, 458, 293, 282, 314)(280, 326, 370, 367, 346, 493, 490, 421, 508, 491, 447, 389, 369, 488, 417, 410)(284, 463, 465, 408, 285, 403, 415, 386)(289, 497, 356, 400, 376, 350, 405, 357, 313, 466, 304, 344, 505, 327, 418, 295)(291, 472, 335, 349, 311, 324, 500, 456, 395, 319, 377, 406, 348, 489, 475, 474)(301, 503, 402, 482, 467, 385, 374, 351, 392, 460, 378, 473, 391, 476, 479, 366)(302, 462, 316, 457, 448, 315, 379, 510)(308, 329, 365, 320, 486, 430, 322, 509)(309, 498, 388, 368, 494, 339, 380, 323)(310, 332, 507, 354, 454, 396, 453, 429)(312, 321, 496, 439, 340, 443, 492, 317, 441, 361, 481, 504, 371, 393, 451, 487)(331, 413, 338, 352, 433, 485, 442, 444)(341, 437, 469, 452, 480, 407, 495, 464)
f: (69, 119)(128, 217)(130, 177)(181, 252)(272, 363)(273, 403)(339, 448)(341, 364)(343, 444)(355, 509)(429, 459)(461, 506)
g: (5, 9)(6, 10)(21, 45)(22, 46)(23, 47)(24, 48)(25, 218, 93, 97)(26, 115, 94, 98)(28, 52)(29, 179)(32, 126)(33, 100)(49, 172, 139, 107)(50, 221, 166, 110)(53, 121)(56, 180)(57, 140)(69, 130)(85, 131)(86, 109)(87, 231)(90, 164)(91, 165)(92, 138)(95, 108)(96, 141)(101, 174)(103, 169)(104, 113)(106, 225)(111, 186)(112, 167)(114, 171)(116, 256)(119, 177)(122, 235)(123, 219)(128, 181)(134, 246)(135, 234)(136, 247)(137, 160)(142, 173)(162, 206)(175, 184)(185, 237)(195, 238)(201, 230)(208, 243)(210, 228)(213, 249)(214, 226)(215, 223)(217, 252)(220, 232)(222, 229)(227, 255)(236, 251)(239, 244)(241, 248)(257, 358)(259, 360)(260, 507)(261, 313)(262, 482)(272, 403)(273, 363)(274, 294)(275, 425, 349, 474)(276, 293)(278, 393, 508, 466)(279, 452)(280, 497, 502, 443)(284, 414)(285, 307)(286, 473)(287, 351)(289, 501)(297, 469)(298, 471)(300, 366)(301, 392)(302, 498)(303, 422)(305, 402)(309, 442, 411, 457)(311, 348)(312, 421)(320, 354)(321, 432, 327, 346)(322, 450)(337, 375)(338, 494, 510, 412)(340, 367)(342, 428)(345, 511)(350, 369, 361, 387)(352, 420)(355, 429)(365, 453)(371, 389)(373, 455)(376, 435)(378, 478)(404, 505)(406, 456, 477, 449)(410, 441)(416, 463)(427, 445)(458, 464)(459, 509)(480, 499)
h: (20, 81)(44, 88)(65, 189)(148, 196)(265, 415)(268, 331)(290, 419)(308, 436)(310, 394)(315, 380)(362, 381)(437, 446)
m: (23, 91)(47, 165)(210, 214)(226, 228)(288, 475)(306, 500)(312, 505)(323, 423)(376, 441)(379, 413)(404, 421)(410, 435)
n1: (27, 55)(31, 51)(89, 207)(197, 216)(288, 306)(299, 484)(305, 478)(317, 487)(344, 400)(370, 447)(378, 402)(475, 500)
a1: (87, 206)(162, 231)(195, 230)(201, 238)(259, 360)(278, 502)(280, 508)(301, 392)(311, 348)(345, 511)(393, 443)(466, 497)
b1: (4, 16)(8, 39)(12, 58)(35, 143)(129, 240)(182, 203)(198, 200)(202, 242)(266, 460)(270, 424)(304, 356)(318, 503)(324, 489)(325, 329)(326, 491)(328, 359)(362, 446)(381, 437)(382, 468)(386, 398)(396, 438)(451, 492)
c1: (129, 240)(182, 203)(198, 200)(202, 242)(266, 318)(270, 424)(304, 356)(324, 489)(326, 491)(382, 468)(451, 492)(460, 503)
d1: (25, 93)(26, 94)(49, 139)(50, 166)(275, 349)(346, 432)(369, 387)(393, 466)(406, 477)(412, 494)(442, 457)(443, 497)
e1: (2, 157)(3, 93, 34, 49)(4, 115, 8, 221)(5, 104, 165, 48, 21, 86, 47, 138)(6, 148)(7, 139, 11, 25)(9, 171, 91, 164, 45, 95, 23, 46)(10, 65)(12, 97, 35, 107)(13, 158)(14, 33, 70, 57)(15, 53)(16, 98, 39, 110)(17, 26, 147, 166)(18, 19)(20, 208)(22, 141, 108, 214, 90, 169, 114, 210)(24, 103, 113, 228, 92, 96, 109, 226)(27, 213, 117, 175)(28, 196)(29, 38)(30, 56, 127, 215, 118, 136, 168, 256)(31, 247, 99, 223)(32, 211, 186, 204, 122, 250, 234, 233)(37, 174, 150, 112)(40, 50, 43, 94)(41, 64)(42, 63)(44, 243)(51, 180, 176, 116)(52, 189)(54, 249, 124, 248, 154, 185, 102, 184)(55, 237, 125, 241)(58, 218, 143, 172)(59, 224)(60, 209)(61, 123, 71, 106)(62, 179)(67, 100, 133, 140)(68, 232, 149, 222)(69, 120, 119, 183)(72, 219, 161, 225)(73, 146)(74, 190)(75, 220, 152, 229)(76, 177, 192, 130)(77, 217, 193, 128)(78, 255, 205, 134, 194, 251, 254, 142)(79, 80)(81, 244)(84, 85)(87, 129)(88, 239)(89, 126, 105, 135)(101, 199, 167, 191)(111, 207, 235, 212)(121, 145)(131, 253)(132, 181, 178, 252)(137, 153)(151, 188)(156, 187)(159, 160)(162, 202)(170, 246, 197, 236)(173, 216, 227, 245)(182, 195)(198, 238)(200, 201)(203, 230)(206, 240)(231, 242)(257, 500, 371, 374, 414, 306, 313, 267)(258, 276)(259, 356)(260, 305, 435, 347, 322, 402, 410, 377)(261, 353, 274, 323, 367, 440, 358, 413)(262, 504, 279, 447)(263, 265)(264, 419)(266, 278)(268, 346, 380, 432)(269, 494, 487, 275)(270, 301)(271, 302)(272, 333, 363, 281)(273, 390, 403, 283)(277, 422)(280, 460)(282, 320)(284, 379, 389, 495, 365, 423, 501, 314)(285, 478, 404, 372, 337, 378, 421, 335)(286, 439, 427, 370)(287, 383, 458, 330, 300, 430, 455, 397)(288, 289, 512, 453, 475, 340, 479, 294)(290, 336)(291, 436)(292, 498)(293, 486)(295, 464, 484, 366)(296, 499)(297, 505, 485, 450, 342, 441, 368, 307)(298, 409)(299, 351, 357, 373)(303, 388)(304, 360)(308, 395)(309, 325, 456, 396, 510, 386, 474, 359)(310, 391)(311, 492)(312, 316, 507, 428, 376, 434, 375, 469)(315, 387, 331, 369)(317, 477, 384, 457)(318, 502)(319, 509, 472, 355)(321, 437)(324, 497, 382, 443)(326, 345)(327, 381)(328, 411, 329, 449, 438, 338, 398, 425)(332, 473, 334, 452, 399, 482, 408, 445)(339, 488, 448, 493)(341, 405, 364, 418)(343, 426, 444, 431)(344, 349, 490, 412)(348, 451)(350, 362)(352, 470)(354, 483)(361, 446)(385, 459, 476, 429)(392, 424)(393, 489, 466, 468)(394, 467)(400, 406, 417, 442)(401, 415)(407, 463)(416, 462)(420, 454)(433, 471)(461, 481, 506, 496)(465, 480)(491, 511)(503, 508)
f1: (86, 104)(95, 171)(108, 114)(109, 113)(257, 414)(274, 365)(284, 358)(294, 453)(297, 469)(305, 402)(342, 428)(378, 478)
g1: (3, 35)(4, 40)(5, 113)(7, 12)(8, 17)(9, 86)(11, 143)(14, 133)(15, 38)(16, 147)(20, 44)(21, 109)(22, 226)(23, 48)(24, 47)(27, 127)(30, 117, 118, 125)(31, 102)(32, 255)(34, 58)(37, 199)(39, 43)(45, 104)(46, 214)(51, 124)(54, 176, 154, 99)(55, 168)(56, 185)(61, 161)(62, 145)(65, 148)(67, 70)(68, 152)(71, 72)(75, 149)(76, 183)(77, 132)(78, 212, 194, 105)(81, 88)(84, 159)(89, 254)(90, 228)(91, 138)(92, 165)(95, 141)(96, 114)(103, 108)(111, 173)(116, 175)(120, 192)(122, 251)(126, 236)(129, 202)(134, 186)(135, 246)(136, 249)(142, 234)(150, 191)(153, 253)(164, 210)(169, 171)(170, 204, 245, 233)(178, 193)(180, 213)(182, 200)(184, 215)(189, 196)(197, 211)(198, 203)(205, 207)(216, 250)(223, 241)(227, 235)(237, 247)(240, 242)(248, 256)(257, 260)(261, 312)(266, 324)(267, 297, 512, 428)(268, 437)(269, 325, 384, 386)(274, 507)(277, 462)(281, 283)(282, 433)(284, 307)(285, 453)(287, 300)(288, 316)(289, 421)(294, 337)(295, 397, 357, 330)(299, 383)(305, 353)(306, 368)(309, 510)(313, 410)(314, 478)(315, 362)(317, 438)(318, 489)(319, 476)(322, 414)(323, 372, 379, 347)(328, 487)(329, 417, 398, 490)(331, 446)(332, 439, 399, 504)(333, 390)(334, 370)(335, 413, 377, 423)(338, 411)(340, 404)(342, 374, 469, 479)(344, 359)(358, 375)(365, 450)(367, 376)(371, 435)(378, 440)(380, 381)(382, 503)(385, 472)(388, 407)(389, 505)(396, 400)(402, 495)(405, 418)(408, 447)(409, 483)(425, 449)(426, 431)(430, 484)(434, 500)(441, 501)(445, 452)(455, 458)(456, 474)(460, 468)(473, 482)(475, 485)(481, 496)(488, 493)
h1: (134, 142)(184, 248)(186, 234)(215, 256)(274, 284)(307, 507)(309, 510)(338, 411)(358, 365)(375, 450)(445, 452)(455, 458)
m1: (102, 124)(127, 168)(205, 254)(211, 250)(314, 353)(316, 368)(328, 438)(334, 408)(359, 396)(383, 430)(434, 485)(440, 495)
n2: (30, 118)(54, 154)(78, 194)(204, 233)(297, 428)(323, 379)(325, 386)(329, 398)(330, 397)(332, 399)(342, 469)(413, 423)
a2: (15, 62)(38, 145)(84, 153)(159, 253)(258, 486)(271, 292)(277, 407)(282, 409)(296, 465)(388, 462)(433, 483)(454, 470)
b2: (76, 192)(77, 193)(120, 183)(132, 178)(281, 333)(283, 390)(319, 472)(385, 476)(405, 418)(426, 431)(481, 496)(488, 493)
c2: (1, 6, 106, 122, 86, 127, 70, 203, 83, 181, 110, 116, 90, 207, 39, 253, 144, 28, 57, 32, 104, 168, 71, 182, 163, 252, 221, 223, 22, 89, 8, 159)(2, 10, 123, 255, 95, 211, 150, 240, 158, 128, 98, 175, 24, 31, 143, 145, 59, 52, 33, 251, 171, 250, 149, 129, 209, 217, 115, 241, 92, 51, 35, 38)(3, 65, 19, 87, 166, 213, 165, 204, 75, 193, 146, 29, 140, 142, 169, 176, 11, 189, 80, 206, 50, 237, 47, 233, 191, 77, 74, 121, 225, 134, 141, 99)(4, 84, 157, 243, 222, 136, 113, 124, 14, 198, 13, 69, 172, 135, 164, 216, 16, 153, 224, 239, 112, 56, 109, 102, 61, 200, 60, 119, 107, 111, 46, 197)(5, 245, 40, 44, 73, 201, 25, 126, 214, 154, 161, 183, 18, 85, 101, 215, 21, 170, 147, 88, 190, 238, 93, 235, 210, 54, 133, 120, 79, 137, 220, 256)(7, 148, 64, 195, 49, 236, 91, 78, 152, 132, 41, 160, 167, 248, 103, 117, 34, 196, 188, 230, 139, 227, 23, 194, 199, 178, 151, 131, 229, 184, 96, 125)(9, 212, 17, 20, 42, 162, 94, 180, 226, 118, 72, 192, 63, 53, 100, 186, 45, 105, 43, 81, 156, 231, 26, 247, 228, 30, 67, 76, 187, 179, 219, 234)(12, 15, 82, 208, 232, 185, 114, 254, 37, 242, 36, 130, 218, 246, 48, 55, 58, 62, 155, 244, 174, 249, 108, 205, 68, 202, 66, 177, 97, 173, 138, 27)(257, 316, 370, 460, 296, 343, 327, 464, 261, 402, 328, 388, 451, 467, 355, 425, 294, 434, 299, 266, 258, 448, 361, 279, 367, 478, 396, 433, 356, 336, 273, 456)(259, 432, 366, 376, 342, 430, 472, 326, 499, 429, 411, 337, 372, 317, 362, 454, 348, 369, 262, 312, 297, 408, 283, 270, 276, 363, 510, 260, 377, 344, 437, 271)(263, 303, 300, 365, 495, 357, 382, 290, 506, 508, 442, 340, 288, 325, 282, 431, 291, 471, 482, 284, 314, 439, 489, 394, 341, 502, 494, 313, 500, 398, 407, 488)(264, 509, 474, 414, 368, 484, 503, 486, 444, 321, 373, 389, 378, 359, 462, 304, 391, 403, 449, 453, 485, 447, 318, 465, 339, 350, 427, 501, 305, 438, 483, 492)(265, 392, 393, 406, 410, 323, 332, 385, 405, 420, 298, 458, 307, 374, 384, 268, 436, 511, 497, 275, 404, 413, 397, 281, 496, 302, 422, 452, 450, 512, 490, 315)(267, 269, 380, 308, 301, 466, 349, 435, 379, 330, 476, 481, 352, 463, 455, 375, 479, 417, 331, 415, 345, 443, 477, 421, 423, 399, 333, 418, 498, 320, 445, 507)(272, 338, 285, 347, 400, 381, 292, 311, 387, 286, 505, 428, 383, 390, 491, 293, 459, 309, 322, 335, 487, 446, 470, 360, 346, 351, 441, 469, 334, 319, 424, 480)(274, 440, 504, 468, 310, 461, 278, 412, 289, 306, 329, 409, 493, 395, 416, 473, 358, 353, 295, 324, 419, 364, 280, 457, 371, 475, 386, 277, 426, 401, 354, 287)
d2: (67, 72)(75, 191)(133, 161)(152, 199)(277, 282)(281, 476)(330, 332)(333, 385)(334, 430)(383, 408)(397, 399)(407, 409)
e2: (25, 93)(26, 94)(49, 139)(50, 166)(126, 235)(180, 247)(213, 237)(227, 236)(262, 286)(275, 406)(289, 313)(340, 371)(346, 432)(349, 477)(351, 366)(369, 387)(393, 466)(404, 435)(410, 421)(412, 494)(442, 457)(443, 497)
f2: (3, 7)(4, 8)(5, 47)(9, 23)(11, 34)(12, 35)(14, 70)(16, 39)(17, 40)(21, 165)(22, 108)(24, 113)(25, 49)(26, 50)(27, 125)(30, 127)(31, 176)(32, 186)(33, 57)(37, 150)(43, 147)(45, 91)(46, 171)(48, 86)(51, 99)(54, 124)(55, 117)(56, 215)(58, 143)(61, 71)(67, 133)(68, 149)(72, 161)(75, 152)(78, 205)(89, 212)(90, 114)(92, 109)(93, 139)(94, 166)(95, 164)(96, 228)(97, 107)(98, 110)(100, 140)(101, 167)(102, 154)(103, 226)(104, 138)(105, 207)(106, 123)(111, 235)(112, 174)(115, 221)(116, 180)(118, 168)(122, 234)(126, 135)(134, 255)(136, 256)(141, 210)(142, 251)(169, 214)(170, 216)(172, 218)(173, 227)(175, 213)(184, 185)(191, 199)(194, 254)(197, 245)(204, 250)(211, 233)(219, 225)(220, 229)(222, 232)(223, 247)(236, 246)(237, 241)(248, 249)(257, 313)(260, 410)(261, 274)(262, 279)(267, 288)(269, 400)(275, 412)(284, 501)(285, 421)(286, 427)(287, 458)(289, 453)(294, 340)(295, 299)(297, 316)(300, 455)(305, 335)(306, 512)(307, 441)(309, 474)(312, 507)(314, 423)(317, 490)(322, 435)(323, 440)(325, 396)(328, 398)(329, 438)(330, 430)(332, 334)(337, 404)(338, 449)(342, 434)(344, 384)(347, 378)(349, 494)(351, 373)(353, 413)(357, 484)(358, 367)(359, 386)(365, 389)(366, 464)(368, 428)(370, 504)(371, 414)(372, 402)(374, 475)(375, 376)(377, 478)(379, 495)(383, 397)(399, 408)(406, 457)(411, 425)(417, 487)(439, 447)(442, 477)(445, 482)(450, 505)(452, 473)(456, 510)(469, 485)(479, 500)
g2: (18, 79)(41, 151)(63, 187)(74, 146)(263, 395)(270, 491)(291, 401)(302, 352)(326, 424)(405, 481)(418, 496)(420, 498)
h2: (29, 121)(53, 179)(85, 137)(131, 160)(276, 293)(298, 320)(302, 498)(303, 416)(352, 420)(354, 471)(422, 463)(480, 499)
m2: (3, 7)(4, 8)(5, 114)(9, 95)(11, 34)(12, 35)(14, 70)(16, 39)(17, 40)(21, 108)(22, 47, 90, 165)(23, 164, 91, 46)(24, 226, 92, 228)(27, 176)(30, 102, 118, 124)(31, 125)(32, 255)(37, 150)(43, 147)(45, 171)(48, 214, 138, 210)(51, 117)(54, 168, 154, 127)(55, 99)(56, 185)(58, 143)(61, 71)(67, 133)(68, 149)(72, 161)(75, 152)(78, 211, 194, 250)(86, 141)(89, 170)(96, 113)(103, 109)(104, 169)(105, 197)(111, 173)(116, 175)(122, 251)(126, 236)(134, 186)(135, 246)(136, 249)(142, 234)(180, 213)(184, 215)(191, 199)(204, 254, 233, 205)(207, 245)(212, 216)(223, 241)(227, 235)(237, 247)(248, 256)(257, 260)(261, 505, 389, 312)(267, 305)(269, 344)(274, 507)(284, 307)(285, 453)(287, 300)(288, 335, 475, 372)(289, 404, 340, 421)(294, 337)(295, 484)(297, 353, 428, 314)(299, 357)(306, 377, 500, 347)(309, 510)(313, 435, 371, 410)(316, 323, 434, 413)(317, 417)(322, 414)(325, 359, 386, 396)(328, 398, 438, 329)(330, 383, 397, 430)(332, 408, 399, 334)(338, 411)(342, 440, 469, 495)(358, 375)(365, 450)(367, 441, 501, 376)(368, 379, 485, 423)(370, 439)(374, 402)(378, 479)(384, 400)(425, 449)(445, 452)(447, 504)(455, 458)(456, 474)(473, 482)(478, 512)(487, 490)
n3: (32, 122)(56, 136)(185, 249)(251, 255)(261, 501)(287, 300)(312, 441)(367, 389)(376, 505)(425, 449)(456, 474)(473, 482)
a3: (14, 61)(37, 68)(70, 71)(149, 150)(283, 319)(295, 439)(299, 447)(357, 504)(370, 484)(388, 483)(390, 472)(433, 462)
b3: (3, 11)(7, 34)(17, 43)(40, 147)(268, 380)(269, 490)(315, 331)(317, 400)(324, 382)(344, 487)(384, 417)(468, 489)
c3: (22, 90)(24, 92)(46, 164)(48, 138)(261, 389)(289, 340)(313, 371)(316, 485)(335, 372)(347, 377)(367, 501)(368, 434)
d3: (13, 60)(36, 66)(83, 163)(158, 209)(258, 465)(264, 467)(276, 480)(290, 310)(293, 499)(296, 486)(336, 391)(394, 419)
e3: (100, 219)(101, 220)(140, 225)(167, 229)(272, 429)(287, 482)(298, 463)(300, 473)(320, 422)(363, 459)(445, 458)(452, 455)
f3: (1, 2, 82, 157)(3, 57, 14, 49)(4, 167, 191, 221)(5, 104, 165, 48, 21, 86, 47, 138)(6, 148, 29, 38, 28, 196, 121, 145)(7, 33, 70, 25)(8, 101, 199, 115)(9, 171, 91, 164, 45, 95, 23, 46)(10, 65, 53, 15, 52, 189, 179, 62)(11, 106, 61, 139)(12, 140, 67, 107)(13, 83, 158, 36)(16, 229, 75, 110)(17, 112, 37, 166)(18, 42, 74, 188)(19, 151, 190, 63)(20, 85, 84, 244, 81, 137, 153, 208)(22, 141, 108, 214, 90, 169, 114, 210)(24, 103, 113, 228, 92, 96, 109, 226)(26, 147, 232, 149)(27, 236, 170, 175)(30, 32, 211, 215, 118, 122, 250, 256)(31, 235, 212, 223)(34, 123, 71, 93)(35, 100, 133, 97)(39, 220, 152, 98)(40, 174, 150, 94)(41, 73, 187, 80)(43, 222, 68, 50)(44, 160, 159, 239, 88, 131, 253, 243)(51, 126, 105, 116)(54, 251, 254, 248, 154, 255, 205, 184)(55, 227, 245, 241)(56, 127, 186, 204, 136, 168, 234, 233)(58, 225, 72, 172)(59, 155, 224, 144)(60, 163, 209, 66)(64, 79, 156, 146)(69, 120, 230, 203, 119, 183, 195, 182)(76, 238, 198, 177, 192, 201, 200, 130)(77, 231, 242, 217, 193, 162, 202, 128)(78, 185, 102, 134, 194, 249, 124, 142)(87, 129, 181, 178, 206, 240, 252, 132)(89, 180, 176, 135)(99, 111, 207, 247)(117, 246, 197, 213)(125, 173, 216, 237)(143, 219, 161, 218)(257, 500, 371, 374, 414, 306, 313, 267)(258, 336, 290, 293, 486, 264, 419, 276)(259, 356, 343, 426, 360, 304, 444, 431)(260, 305, 435, 347, 322, 402, 410, 377)(261, 353, 274, 323, 367, 440, 358, 413)(262, 504, 442, 400)(263, 265, 498, 292, 401, 415, 302, 271)(266, 272, 333, 502, 318, 363, 281, 278)(268, 416, 462, 387, 331, 303, 388, 432)(269, 427, 370, 275)(270, 341, 481, 345, 424, 364, 496, 511)(273, 390, 443, 324, 403, 283, 393, 489)(277, 361, 446, 463, 407, 321, 437, 422)(279, 447, 477, 384)(280, 460, 459, 476, 508, 503, 429, 385)(282, 350, 362, 298, 409, 327, 381, 320)(284, 379, 389, 495, 365, 423, 501, 314)(285, 478, 404, 372, 337, 378, 421, 335)(286, 439, 412, 344)(287, 383, 338, 398, 300, 430, 411, 329)(288, 289, 512, 453, 475, 340, 479, 294)(291, 436, 352, 470, 395, 308, 420, 454)(295, 494, 487, 366)(296, 467, 394, 480, 465, 391, 310, 499)(297, 505, 485, 450, 342, 441, 368, 307)(299, 406, 417, 373)(301, 491, 461, 405, 392, 326, 506, 418)(309, 325, 482, 408, 510, 386, 473, 334)(311, 492, 339, 488, 348, 451, 448, 493)(312, 316, 507, 428, 376, 434, 375, 469)(315, 354, 483, 346, 380, 471, 433, 369)(317, 351, 357, 457)(319, 466, 468, 509, 472, 497, 382, 355)(328, 455, 397, 449, 438, 458, 330, 425)(332, 474, 359, 452, 399, 456, 396, 445)(349, 490, 464, 484)

(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, 344 ]
512
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-2 431 259 360 426
-3 331 268 269 384
-4 396 359 503 460
-5 440 495 260 285
-6 321 291 401 327
-7 331 344 268 400
-8 386 325 503 460
-9 440 495 507 307
-10 432 291 346 401
-11 380 490 315 417
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-13 465 467 391 296
-14 462 388 370 447
-15 462 433 271 470
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-20 310 268 290 380
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-24 289 313 347 372
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-28 350 361 263 395
-29 352 320 422 302
-30 386 398 323 423
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-35 386 325 446 437
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-38 277 271 282 470
-39 266 398 318 329
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-41 498 302 326 491
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-43 324 489 490 417
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-45 353 375 314 450
-46 367 389 368 316
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-48 347 501 261 372
-49 275 387 432 477
-50 443 349 393 406
-51 288 475 344 487
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-53 352 302 416 471
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-55 400 402 305 317
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-58 381 328 438 362
-59 311 488 348 493
-60 264 486 258 336
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-251 473 300 312 505
-252 506 364 509 273
-253 407 409 465 258
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-255 287 441 376 482
-256 365 510 338 274
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-258 66 253 60 153
-259 2 201 82 195
-260 5 96 173 241
-261 122 48 136 164
-262 33 235 227 174
-263 187 79 28 52
-264 244 60 239 163
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-266 200 202 16 39
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0

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