C4graphGraph forms for C4 [ 512, 24 ] = MPS(4,256;63)

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On this page are computer-accessible forms for the graph C4[ 512, 24 ] = MPS(4,256;63).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {256, 288} under the group generated by the following permutations:

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

(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, 24 ]
512
-1 256 129 481 416
-2 129 130 482 417
-3 418 130 131 483
-4 132 484 419 131
-5 132 133 485 420
-6 133 134 486 421
-7 134 135 487 422
-8 135 136 488 423
-9 136 137 489 424
-10 137 138 490 425
-11 138 139 491 426
-12 139 140 492 427
-13 140 141 493 428
-14 429 141 142 494
-15 143 495 430 142
-16 143 144 496 431
-17 144 145 497 432
-18 145 146 498 433
-19 146 147 499 434
-20 147 148 500 435
-21 148 149 501 436
-22 149 150 502 437
-23 150 151 503 438
-24 151 152 504 439
-25 440 152 153 505
-26 154 506 441 153
-27 154 155 507 442
-28 155 156 508 443
-29 156 157 509 444
-30 157 158 510 445
-31 158 159 511 446
-32 159 160 512 447
-33 385 160 161 448
-34 386 161 162 449
-35 387 162 163 450
-36 451 388 163 164
-37 165 452 389 164
-38 165 166 453 390
-39 166 167 454 391
-40 167 168 455 392
-41 168 169 456 393
-42 169 170 457 394
-43 170 171 458 395
-44 396 171 172 459
-45 397 172 173 460
-46 398 173 174 461
-47 462 399 174 175
-48 176 463 400 175
-49 176 177 464 401
-50 177 178 465 402
-51 178 179 466 403
-52 179 180 467 404
-53 180 181 468 405
-54 181 182 469 406
-55 407 182 183 470
-56 408 183 184 471
-57 409 184 185 472
-58 473 410 185 186
-59 187 474 411 186
-60 187 188 475 412
-61 188 189 476 413
-62 189 190 477 414
-63 190 191 478 415
-64 191 192 479 416
-65 192 193 480 417
-66 418 193 194 481
-67 419 194 195 482
-68 420 195 196 483
-69 484 421 196 197
-70 198 485 422 197
-71 198 199 486 423
-72 199 200 487 424
-73 200 201 488 425
-74 201 202 489 426
-75 202 203 490 427
-76 203 204 491 428
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-80 495 432 207 208
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-82 209 210 497 434
-83 210 211 498 435
-84 211 212 499 436
-85 212 213 500 437
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-87 214 215 502 439
-88 440 215 216 503
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-90 442 217 218 505
-91 506 443 218 219
-92 220 507 444 219
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-95 222 223 510 447
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-97 224 225 512 449
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-102 454 389 229 230
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-105 232 233 457 392
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-223 320 95 96 383
-224 321 96 97 384
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-226 99 323 258 98
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-320 223 511 160 512
-321 385 224 512 161
-322 385 386 225 162
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-325 165 388 389 228
-326 166 389 390 229
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-383 223 158 446 447
-384 224 159 447 448
-385 33 321 322 98
-386 99 34 322 323
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-393 330 106 41 329
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-416 352 1 353 64
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-419 67 355 4 356
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-421 69 357 6 358
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-424 72 360 9 361
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-426 11 363 74 362
-427 363 12 364 75
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-429 77 365 14 366
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-431 79 367 16 368
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-448 33 257 96 384
-449 34 257 258 97
-450 35 258 259 98
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-459 44 267 268 107
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-461 46 269 270 109
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-463 111 48 271 272
-464 112 49 272 273
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-467 275 276 115 52
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-470 55 278 279 118
-471 56 279 280 119
-472 57 280 281 120
-473 121 58 281 282
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-475 123 60 283 284
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-477 286 125 62 285
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-479 287 288 127 64
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-481 66 1 289 290
-482 67 2 290 291
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-484 69 4 292 293
-485 70 5 293 294
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-489 297 298 74 9
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-491 11 299 300 76
-492 77 12 300 301
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-494 79 14 302 303
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-505 90 25 313 314
-506 91 26 314 315
-507 92 27 315 316
-508 93 28 316 317
-509 94 29 317 318
-510 319 95 30 318
-511 319 320 96 31
-512 320 321 97 32
0

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