C4graphGraph forms for C4 [ 512, 405 ] = SDD(MPS(16,16;3))

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On this page are computer-accessible forms for the graph C4[ 512, 405 ] = SDD(MPS(16,16;3)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {256, 376} under the group generated by the following permutations:

a: (275, 403)
b: (311, 439)
c: (320, 448)
d: (338, 466)
e: (350, 478)
f: (308, 436)
g: (318, 446)
h: (340, 468)
m: (316, 444)
n1: (342, 470)
a1: (314, 442)
b1: (344, 472)
c1: (304, 432)
d1: (358, 486)
e1: (317, 445)
f1: (341, 469)
g1: (313, 441)
h1: (337, 465)
m1: (298, 426)
n2: (356, 484)
a2: (345, 473)
b2: (305, 433)
c2: (352, 480)
d2: (306, 434)
e2: (349, 477)
f2: (309, 437)
g2: (348, 476)
h2: (310, 438)
m2: (299, 427)
n3: (355, 483)
a3: (363, 491)
b3: (291, 419)
c3: (303, 431)
d3: (359, 487)
e3: (301, 429)
f3: (353, 481)
g3: (302, 430)
h3: (360, 488)
m3: (300, 428)
n4: (354, 482)
a4: (288, 416)
b4: (370, 498)
c4: (366, 494)
d4: (296, 424)
e4: (365, 493)
f4: (289, 417)
g4: (364, 492)
h4: (290, 418)
m4: (267, 395)
n5: (263, 391)
a5: (377, 505)
b5: (273, 401)
c5: (379, 507)
d5: (279, 407)
e5: (268, 396)
f5: (262, 390)
g5: (283, 411)
h5: (375, 503)
m5: (286, 414)
n6: (372, 500)
a6: (384, 512)
b6: (274, 402)
c6: (270, 398)
d6: (260, 388)
e6: (266, 394)
f6: (264, 392)
g6: (284, 412)
h6: (374, 502)
m6: (287, 415)
n7: (371, 499)
a7: (272, 400)
b7: (258, 386)
c7: (378, 506)
d7: (280, 408)
e7: (383, 511)
f7: (261, 389)
g7: (269, 397)
h7: (276, 404)
m7: (382, 510)
n8: (277, 405)
a8: (381, 509)
b8: (292, 420)
c8: (362, 490)
d8: (295, 423)
e8: (367, 495)
f8: (373, 501)
g8: (285, 413)
h8: (294, 422)
m8: (368, 496)
n9: (293, 421)
a9: (361, 489)
b9: (259, 387)
c9: (271, 399)
d9: (278, 406)
e9: (380, 508)
f9: (376, 504)
g9: (282, 410)
h9: (369, 497)
m9: (281, 409)
n10: (347, 475)
a10: (312, 440)
b10: (346, 474)
c10: (307, 435)
d10: (351, 479)
e10: (321, 449)
f10: (333, 461)
g10: (326, 454)
h10: (336, 464)
m10: (322, 450)
n11: (332, 460)
a11: (325, 453)
b11: (329, 457)
c11: (339, 467)
d11: (319, 447)
e11: (324, 452)
f11: (330, 458)
g11: (323, 451)
h11: (331, 459)
m11: (327, 455)
n12: (335, 463)
a12: (328, 456)
b12: (334, 462)
c12: (357, 485)
d12: (297, 425)
e12: (343, 471)
f12: (257, 385)
g12: (265, 393)
h12: (2, 5)(3, 34)(4, 33)(6, 30)(7, 48)(8, 47)(9, 29)(10, 26)(11, 45)(12, 46)(13, 25)(14, 22)(15, 44)(16, 43)(17, 21)(19, 42)(20, 41)(23, 40)(24, 39)(27, 38)(28, 37)(31, 35)(32, 36)(49, 251)(50, 249)(51, 250)(52, 248)(53, 247)(54, 246)(55, 245)(56, 244)(57, 242)(58, 243)(59, 241)(60, 256)(61, 255)(62, 254)(63, 253)(64, 252)(65, 227)(66, 237)(67, 226)(68, 236)(69, 234)(70, 240)(71, 232)(72, 238)(73, 230)(74, 235)(75, 233)(76, 228)(77, 231)(78, 225)(79, 229)(80, 239)(81, 218)(82, 219)(83, 217)(84, 216)(85, 215)(86, 214)(87, 213)(88, 212)(89, 211)(90, 209)(91, 210)(92, 224)(93, 223)(94, 222)(95, 221)(96, 220)(97, 206)(98, 195)(99, 193)(100, 204)(101, 207)(102, 201)(103, 205)(104, 199)(105, 203)(106, 197)(107, 202)(108, 196)(109, 194)(110, 200)(111, 208)(112, 198)(113, 187)(114, 185)(115, 186)(116, 184)(117, 183)(118, 182)(119, 181)(120, 180)(121, 178)(122, 179)(123, 177)(124, 192)(125, 191)(126, 190)(127, 189)(128, 188)(129, 163)(130, 173)(131, 162)(132, 172)(133, 170)(134, 176)(135, 168)(136, 174)(137, 166)(138, 171)(139, 169)(140, 164)(141, 167)(142, 161)(143, 165)(144, 175)(145, 154)(146, 155)(147, 153)(148, 152)(149, 151)(156, 160)(157, 159)(257, 265)(258, 272)(259, 271)(260, 270)(261, 269)(262, 268)(263, 267)(264, 266)(273, 377)(274, 384)(275, 383)(276, 382)(277, 381)(278, 380)(279, 379)(280, 378)(281, 369)(282, 376)(283, 375)(284, 374)(285, 373)(286, 372)(287, 371)(288, 370)(289, 365)(290, 364)(291, 363)(292, 362)(293, 361)(294, 368)(295, 367)(296, 366)(297, 357)(298, 356)(299, 355)(300, 354)(301, 353)(302, 360)(303, 359)(304, 358)(305, 345)(306, 352)(307, 351)(308, 350)(309, 349)(310, 348)(311, 347)(312, 346)(313, 337)(314, 344)(315, 343)(316, 342)(317, 341)(318, 340)(319, 339)(320, 338)(321, 333)(322, 332)(323, 331)(324, 330)(325, 329)(326, 336)(327, 335)(328, 334)(385, 393)(386, 400)(387, 399)(388, 398)(389, 397)(390, 396)(391, 395)(392, 394)(401, 505)(402, 512)(403, 511)(404, 510)(405, 509)(406, 508)(407, 507)(408, 506)(409, 497)(410, 504)(411, 503)(412, 502)(413, 501)(414, 500)(415, 499)(416, 498)(417, 493)(418, 492)(419, 491)(420, 490)(421, 489)(422, 496)(423, 495)(424, 494)(425, 485)(426, 484)(427, 483)(428, 482)(429, 481)(430, 488)(431, 487)(432, 486)(433, 473)(434, 480)(435, 479)(436, 478)(437, 477)(438, 476)(439, 475)(440, 474)(441, 465)(442, 472)(443, 471)(444, 470)(445, 469)(446, 468)(447, 467)(448, 466)(449, 461)(450, 460)(451, 459)(452, 458)(453, 457)(454, 464)(455, 463)(456, 462)
m12: (1, 3, 252, 238, 222, 200, 192, 162, 145, 139, 116, 101, 86, 79, 56, 41, 18, 20, 244, 229, 214, 207, 184, 169, 154, 131, 124, 110, 94, 72, 64, 34)(2, 15, 251, 237, 221, 199, 191, 161, 146, 140, 115, 102, 85, 80, 55, 42, 17, 32, 243, 230, 213, 208, 183, 170, 153, 132, 123, 109, 93, 71, 63, 33)(4, 253, 232, 223, 194, 177, 172, 147, 133, 117, 111, 87, 73, 58, 36, 21, 19, 245, 239, 215, 201, 186, 164, 155, 142, 125, 104, 95, 66, 49, 44, 5)(6, 24, 254, 231, 224, 193, 178, 171, 148, 134, 118, 112, 88, 74, 57, 35, 22, 7, 246, 240, 216, 202, 185, 163, 156, 141, 126, 103, 96, 65, 50, 43)(8, 247, 234, 217, 196, 187, 173, 157, 135, 127, 97, 82, 76, 51, 38, 9, 23, 255, 225, 210, 204, 179, 166, 149, 144, 119, 106, 89, 68, 59, 45, 25)(10, 12, 256, 226, 209, 203, 180, 165, 150, 143, 120, 105, 90, 67, 60, 46, 26, 28, 248, 233, 218, 195, 188, 174, 158, 136, 128, 98, 81, 75, 52, 37)(11, 241, 236, 211, 197, 181, 175, 151, 137, 122, 100, 91, 78, 61, 40, 29, 27, 250, 228, 219, 206, 189, 168, 159, 130, 113, 108, 83, 69, 53, 47, 13)(14, 31, 242, 235, 212, 198, 182, 176, 152, 138, 121, 99, 92, 77, 62, 39, 30, 16, 249, 227, 220, 205, 190, 167, 160, 129, 114, 107, 84, 70, 54, 48)(257, 378, 374, 367, 359, 348, 344, 329, 321, 318, 306, 299, 291, 288, 276, 269, 261, 382, 370, 363, 355, 352, 340, 333, 325, 314, 310, 303, 295, 284, 280, 265)(258, 383, 375, 364, 360, 345, 337, 334, 322, 315, 307, 304, 292, 285, 277, 266, 262, 379, 371, 368, 356, 349, 341, 330, 326, 319, 311, 300, 296, 281, 273, 270)(259, 380, 376, 361, 353, 350, 338, 331, 323, 320, 308, 301, 293, 282, 278, 271, 263, 384, 372, 365, 357, 346, 342, 335, 327, 316, 312, 297, 289, 286, 274, 267)(260, 377, 369, 366, 354, 347, 339, 336, 324, 317, 309, 298, 294, 287, 279, 268, 264, 381, 373, 362, 358, 351, 343, 332, 328, 313, 305, 302, 290, 283, 275, 272)(385, 506, 502, 495, 487, 476, 472, 457, 449, 446, 434, 427, 419, 416, 404, 397, 389, 510, 498, 491, 483, 480, 468, 461, 453, 442, 438, 431, 423, 412, 408, 393)(386, 511, 503, 492, 488, 473, 465, 462, 450, 443, 435, 432, 420, 413, 405, 394, 390, 507, 499, 496, 484, 477, 469, 458, 454, 447, 439, 428, 424, 409, 401, 398)(387, 508, 504, 489, 481, 478, 466, 459, 451, 448, 436, 429, 421, 410, 406, 399, 391, 512, 500, 493, 485, 474, 470, 463, 455, 444, 440, 425, 417, 414, 402, 395)(388, 505, 497, 494, 482, 475, 467, 464, 452, 445, 437, 426, 422, 415, 407, 396, 392, 509, 501, 490, 486, 479, 471, 460, 456, 441, 433, 430, 418, 411, 403, 400)
n13: (1, 2)(3, 4)(5, 30)(6, 29)(7, 32)(8, 31)(9, 26)(10, 25)(11, 28)(12, 27)(13, 22)(14, 21)(15, 24)(16, 23)(17, 18)(19, 20)(33, 48)(34, 47)(35, 45)(36, 46)(37, 44)(38, 43)(39, 42)(40, 41)(49, 50)(51, 64)(52, 63)(53, 62)(54, 61)(55, 60)(56, 59)(57, 58)(65, 80)(66, 79)(67, 78)(68, 77)(69, 75)(70, 76)(71, 74)(72, 73)(81, 82)(83, 96)(84, 95)(85, 94)(86, 93)(87, 92)(88, 91)(89, 90)(97, 112)(98, 111)(99, 109)(100, 110)(101, 108)(102, 107)(103, 106)(104, 105)(113, 114)(115, 128)(116, 127)(117, 126)(118, 125)(119, 124)(120, 123)(121, 122)(129, 144)(130, 143)(131, 142)(132, 141)(133, 139)(134, 140)(135, 138)(136, 137)(145, 146)(147, 160)(148, 159)(149, 158)(150, 157)(151, 156)(152, 155)(153, 154)(161, 176)(162, 175)(163, 173)(164, 174)(165, 172)(166, 171)(167, 170)(168, 169)(177, 178)(179, 192)(180, 191)(181, 190)(182, 189)(183, 188)(184, 187)(185, 186)(193, 208)(194, 207)(195, 206)(196, 205)(197, 203)(198, 204)(199, 202)(200, 201)(209, 210)(211, 224)(212, 223)(213, 222)(214, 221)(215, 220)(216, 219)(217, 218)(225, 240)(226, 239)(227, 237)(228, 238)(229, 236)(230, 235)(231, 234)(232, 233)(241, 242)(243, 256)(244, 255)(245, 254)(246, 253)(247, 252)(248, 251)(249, 250)(258, 264)(259, 263)(260, 262)(265, 272)(266, 271)(267, 270)(268, 269)(274, 280)(275, 279)(276, 278)(281, 288)(282, 287)(283, 286)(284, 285)(290, 296)(291, 295)(292, 294)(297, 304)(298, 303)(299, 302)(300, 301)(306, 312)(307, 311)(308, 310)(313, 320)(314, 319)(315, 318)(316, 317)(322, 328)(323, 327)(324, 326)(329, 336)(330, 335)(331, 334)(332, 333)(338, 344)(339, 343)(340, 342)(345, 352)(346, 351)(347, 350)(348, 349)(354, 360)(355, 359)(356, 358)(361, 368)(362, 367)(363, 366)(364, 365)(370, 376)(371, 375)(372, 374)(377, 384)(378, 383)(379, 382)(380, 381)(386, 392)(387, 391)(388, 390)(393, 400)(394, 399)(395, 398)(396, 397)(402, 408)(403, 407)(404, 406)(409, 416)(410, 415)(411, 414)(412, 413)(418, 424)(419, 423)(420, 422)(425, 432)(426, 431)(427, 430)(428, 429)(434, 440)(435, 439)(436, 438)(441, 448)(442, 447)(443, 446)(444, 445)(450, 456)(451, 455)(452, 454)(457, 464)(458, 463)(459, 462)(460, 461)(466, 472)(467, 471)(468, 470)(473, 480)(474, 479)(475, 478)(476, 477)(482, 488)(483, 487)(484, 486)(489, 496)(490, 495)(491, 494)(492, 493)(498, 504)(499, 503)(500, 502)(505, 512)(506, 511)(507, 510)(508, 509)

(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, 405 ]
512
-1 385 265 257 393
-2 385 257 400 272
-3 385 506 257 378
-4 385 257 511 383
-5 265 386 258 393
-6 386 266 258 394
-7 386 507 258 379
-8 386 258 512 384
-9 266 387 259 394
-10 387 267 259 395
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-12 387 508 259 380
-13 267 388 260 395
-14 396 388 268 260
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-20 389 510 261 382
-21 397 269 390 262
-22 398 390 270 262
-23 508 390 380 262
-24 390 511 262 383
-25 398 270 391 263
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-27 509 391 381 263
-28 391 512 263 384
-29 264 399 271 392
-30 264 400 392 272
-31 264 377 392 505
-32 264 510 392 382
-33 275 265 403 393
-34 265 408 280 393
-35 266 401 273 394
-36 276 266 404 394
-37 267 402 274 395
-38 277 267 405 395
-39 275 396 268 403
-40 396 278 268 406
-41 276 397 269 404
-42 407 397 279 269
-43 277 398 270 405
-44 408 398 280 270
-45 399 401 271 273
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-47 400 402 272 274
-48 407 279 400 272
-49 401 412 273 284
-50 401 413 273 285
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-52 286 402 414 274
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-54 275 287 403 415
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-57 277 409 281 405
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-80 288 422 294 416
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-90 429 421 301 293
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-95 431 303 424 296
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-102 309 299 437 427
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-105 308 429 301 436
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-185 341 473 345 469
-186 341 352 469 480
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-208 352 486 358 480
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-218 485 365 357 493
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-223 495 367 488 360
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-226 376 489 361 504
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-228 500 490 372 362
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-230 363 501 491 373
-231 364 499 371 492
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-258 5 6 7 8
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-263 25 26 27 28
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-268 14 17 39 40
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-288 56 79 58 80
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-306 111 101 115 116
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-313 121 123 129 130
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-318 116 117 139 140
-319 118 119 141 142
-320 143 122 144 120
-321 133 145 146 139
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-323 143 137 149 150
-324 129 140 151 152
-325 154 131 142 153
-326 144 155 134 156
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-328 132 159 138 160
-329 145 147 161 162
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-331 165 166 150 151
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-333 154 155 169 170
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-336 176 146 160 175
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-340 169 183 184 164
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-371 231 245 246 225
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-376 255 256 236 226
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-379 254 255 7 19
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-381 242 243 16 27
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-383 24 4 246 247
-384 28 248 8 250
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-386 5 6 7 8
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-391 25 26 27 28
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-393 33 1 34 5
-394 35 36 6 9
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-457 145 147 161 162
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-459 165 166 150 151
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-462 156 157 171 172
-463 158 159 173 174
-464 176 146 160 175
-465 177 178 173 163
-466 165 179 180 175
-467 167 181 182 161
-468 169 183 184 164
-469 166 171 185 186
-470 187 188 168 174
-471 176 189 190 170
-472 191 192 172 162
-473 187 193 194 185
-474 188 189 195 196
-475 198 190 191 197
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-477 178 179 201 202
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-479 182 183 205 206
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-482 199 211 212 205
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-484 193 204 215 216
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-489 209 211 225 226
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-492 231 232 216 217
-493 233 234 218 219
-494 220 221 235 236
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-497 242 237 227 241
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-499 231 245 246 225
-500 233 247 248 228
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-506 253 3 15 252
-507 254 255 7 19
-508 12 23 256 241
-509 242 243 16 27
-510 244 245 20 32
-511 24 4 246 247
-512 28 248 8 250
0

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