C4graphGraph forms for C4 [ 512, 372 ] = SDD(CPM(8,2,4,1))

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On this page are computer-accessible forms for the graph C4[ 512, 372 ] = SDD(CPM(8,2,4,1)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {256, 389} under the group generated by the following permutations:

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

(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, 372 ]
512
-1 257 258 259 262
-2 264 257 261 272
-3 265 260 273 263
-4 277 258 269 295
-5 278 259 270 296
-6 297 279 260 271
-7 266 280 273 274
-8 275 298 267 281
-9 276 299 268 282
-10 287 335 303 261
-11 288 336 304 262
-12 289 337 305 263
-13 264 290 338 306
-14 265 300 291 283
-15 266 292 339 307
-16 308 267 293 340
-17 341 309 268 294
-18 265 300 291 283
-19 298 310 301 284
-20 299 311 302 285
-21 275 286 342 312
-22 257 258 259 262
-23 275 298 267 281
-24 319 269 403 349
-25 320 270 404 350
-26 321 271 405 351
-27 352 322 272 406
-28 266 280 273 274
-29 407 353 323 274
-30 275 286 342 312
-31 276 324 348 318
-32 408 277 354 325
-33 409 278 355 326
-34 410 279 356 327
-35 343 280 313 328
-36 344 281 314 329
-37 330 345 282 315
-38 331 411 357 283
-39 332 412 358 284
-40 333 413 359 285
-41 286 334 414 360
-42 278 259 270 296
-43 344 281 314 329
-44 343 280 313 328
-45 330 345 282 315
-46 342 346 316 361
-47 341 347 317 362
-48 276 324 348 318
-49 308 267 293 340
-50 289 337 305 263
-51 264 257 261 272
-52 265 260 273 263
-53 287 375 356 426
-54 474 288 376 427
-55 475 289 377 428
-56 429 290 378 404
-57 363 291 379 415
-58 292 380 468 351
-59 430 476 293 381
-60 374 425 294 382
-61 431 392 295 383
-62 432 477 296 384
-63 297 385 433 478
-64 298 310 301 284
-65 299 311 302 285
-66 386 300 434 479
-67 387 453 301 435
-68 388 302 436 458
-69 288 336 304 262
-70 389 303 479 437
-71 422 390 304 370
-72 421 369 391 305
-73 456 392 306 438
-74 386 300 434 479
-75 390 403 480 307
-76 308 420 368 393
-77 309 419 367 394
-78 363 291 379 415
-79 364 310 416 395
-80 396 365 311 417
-81 418 397 366 312
-82 398 431 313 391
-83 399 378 314 373
-84 400 424 315 372
-85 400 316 481 439
-86 377 401 317 482
-87 423 402 371 318
-88 418 397 366 312
-89 430 476 293 381
-90 475 289 377 428
-91 264 290 338 306
-92 364 310 416 395
-93 396 365 311 417
-94 309 419 367 394
-95 341 309 268 294
-96 422 390 304 370
-97 399 378 314 373
-98 374 425 294 382
-99 286 334 414 360
-100 297 279 260 271
-101 407 353 323 274
-102 277 258 269 295
-103 276 299 268 282
-104 319 451 421 478
-105 320 420 366 450
-106 419 452 321 371
-107 453 322 509 427
-108 475 323 359 491
-109 443 454 324 481
-110 474 325 358 492
-111 335 357 326 460
-112 352 363 327 448
-113 422 455 477 328
-114 440 456 329 483
-115 330 484 441 457
-116 331 510 458 428
-117 430 332 367 490
-118 497 333 368 425
-119 334 436 459 372
-120 320 270 404 350
-121 440 456 329 483
-122 445 336 437 470
-123 486 337 426 461
-124 338 415 493 461
-125 331 411 357 283
-126 434 511 457 339
-127 462 485 444 340
-128 341 347 317 362
-129 342 346 316 361
-130 385 408 463 343
-131 464 344 488 447
-132 487 345 380 449
-133 376 444 346 494
-134 506 464 476 347
-135 465 401 446 348
-136 352 322 272 406
-137 407 466 349 384
-138 467 447 350 383
-139 292 380 468 351
-140 396 353 411 489
-141 465 401 446 348
-142 495 354 395 406
-143 496 355 379 445
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-145 464 344 488 447
-146 487 345 380 449
-147 475 323 359 491
-148 399 446 469 360
-149 409 278 355 326
-150 422 455 477 328
-151 330 484 441 457
-152 364 470 361 471
-153 442 369 362 417
-154 443 454 324 481
-155 462 485 444 340
-156 486 337 426 461
-157 365 486 465 472
-158 430 332 367 490
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-160 442 369 362 417
-161 462 498 370 416
-162 419 452 321 371
-163 454 435 512 373
-164 374 473 485 449
-165 332 412 358 284
-166 445 336 437 470
-167 334 436 459 372
-168 321 271 405 351
-169 408 277 354 325
-170 410 279 356 327
-171 364 470 361 471
-172 319 269 403 349
-173 352 363 327 448
-174 320 420 366 450
-175 474 288 376 427
-176 266 292 339 307
-177 387 453 301 435
-178 388 302 436 458
-179 287 335 303 261
-180 451 375 489 511
-181 377 401 317 482
-182 496 355 379 445
-183 487 413 381 504
-184 488 412 382 505
-185 386 507 424 405
-186 387 508 423 414
-187 418 388 443 501
-188 509 389 500 439
-189 386 507 424 405
-190 440 432 502 393
-191 441 433 503 394
-192 396 353 411 489
-193 397 409 499 483
-194 506 398 491 502
-195 400 316 481 439
-196 400 424 315 372
-197 484 410 500 402
-198 397 409 499 483
-199 487 413 381 504
-200 429 290 378 404
-201 423 402 371 318
-202 484 410 500 402
-203 398 431 313 391
-204 432 477 296 384
-205 308 420 368 393
-206 421 369 391 305
-207 462 498 370 416
-208 418 388 443 501
-209 387 508 423 414
-210 431 392 295 383
-211 297 385 433 478
-212 331 510 458 428
-213 429 501 460 472
-214 454 435 512 373
-215 495 496 455 438
-216 434 511 457 339
-217 338 415 493 461
-218 456 392 306 438
-219 495 354 395 406
-220 441 433 503 394
-221 390 403 480 307
-222 399 446 469 360
-223 488 412 382 505
-224 407 466 349 384
-225 442 497 466 467
-226 467 447 350 383
-227 507 508 448 471
-228 512 450 494 505
-229 376 444 346 494
-230 389 303 479 437
-231 440 432 502 393
-232 287 375 356 426
-233 453 322 509 427
-234 333 413 359 285
-235 506 464 476 347
-236 512 450 494 505
-237 452 459 482 504
-238 495 496 455 438
-239 463 498 468 490
-240 365 486 465 472
-241 463 498 468 490
-242 374 473 485 449
-243 499 510 469 493
-244 335 357 326 460
-245 507 508 448 471
-246 473 480 492 503
-247 452 459 482 504
-248 474 325 358 492
-249 473 480 492 503
-250 506 398 491 502
-251 319 451 421 478
-252 429 501 460 472
-253 451 375 489 511
-254 499 510 469 493
-255 442 497 466 467
-256 509 389 500 439
-257 22 1 2 51
-258 22 1 102 4
-259 22 1 5 42
-260 100 3 6 52
-261 2 179 51 10
-262 11 22 1 69
-263 12 3 50 52
-264 2 13 91 51
-265 3 14 18 52
-266 176 15 28 7
-267 23 16 49 8
-268 103 17 95 9
-269 24 102 4 172
-270 25 5 42 120
-271 100 168 26 6
-272 2 136 27 51
-273 3 28 7 52
-274 101 28 7 29
-275 23 8 30 21
-276 48 103 9 31
-277 102 4 169 32
-278 33 5 149 42
-279 34 100 170 6
-280 44 35 28 7
-281 23 36 8 43
-282 45 37 103 9
-283 14 125 38 18
-284 165 39 19 64
-285 234 40 20 65
-286 99 30 41 21
-287 232 179 53 10
-288 11 69 54 175
-289 55 12 90 50
-290 56 13 200 91
-291 78 57 14 18
-292 176 58 15 139
-293 89 59 16 49
-294 60 17 95 98
-295 210 102 4 61
-296 5 204 62 42
-297 100 211 6 63
-298 23 8 19 64
-299 103 9 20 65
-300 66 14 18 74
-301 67 177 19 64
-302 68 178 20 65
-303 179 70 10 230
-304 11 69 71 96
-305 12 50 72 206
-306 13 91 73 218
-307 176 221 15 75
-308 16 49 205 76
-309 77 17 94 95
-310 79 92 19 64
-311 80 93 20 65
-312 88 81 30 21
-313 44 35 82 203
-314 36 83 97 43
-315 45 37 84 196
-316 46 85 129 195
-317 47 181 128 86
-318 201 48 31 87
-319 24 104 172 251
-320 25 105 174 120
-321 168 26 106 162
-322 233 136 27 107
-323 101 147 29 108
-324 154 48 31 109
-325 110 169 248 32
-326 33 111 244 149
-327 34 112 170 173
-328 44 35 113 150
-329 121 36 114 43
-330 45 37 115 151
-331 212 125 38 116
-332 165 158 39 117
-333 234 159 40 118
-334 99 167 41 119
-335 111 244 179 10
-336 11 122 166 69
-337 12 123 156 50
-338 13 91 124 217
-339 176 15 126 216
-340 155 16 49 127
-341 47 17 95 128
-342 46 30 129 21
-343 44 144 35 130
-344 145 36 43 131
-345 132 45 146 37
-346 133 46 129 229
-347 134 47 235 128
-348 135 48 31 141
-349 24 224 137 172
-350 25 138 226 120
-351 58 168 26 139
-352 112 136 27 173
-353 101 192 29 140
-354 169 32 142 219
-355 33 143 149 182
-356 34 232 170 53
-357 111 244 125 38
-358 110 165 39 248
-359 234 147 40 108
-360 99 222 148 41
-361 46 171 129 152
-362 47 160 128 153
-363 78 57 112 173
-364 79 92 171 152
-365 80 157 93 240
-366 88 81 105 174
-367 77 158 94 117
-368 159 205 118 76
-369 72 160 206 153
-370 71 161 96 207
-371 201 106 162 87
-372 167 84 119 196
-373 214 83 97 163
-374 242 60 98 164
-375 253 232 180 53
-376 133 229 54 175
-377 55 90 181 86
-378 56 200 83 97
-379 143 78 57 182
-380 132 58 146 139
-381 89 199 59 183
-382 223 60 184 98
-383 210 61 138 226
-384 224 137 204 62
-385 144 211 63 130
-386 66 189 74 185
-387 209 67 177 186
-388 187 68 178 208
-389 188 256 70 230
-390 221 71 96 75
-391 82 203 72 206
-392 210 61 73 218
-393 231 190 205 76
-394 77 220 191 94
-395 79 92 142 219
-396 80 93 192 140
-397 88 198 81 193
-398 82 203 194 250
-399 222 148 83 97
-400 84 85 195 196
-401 135 181 86 141
-402 201 202 87 197
-403 221 24 172 75
-404 56 200 25 120
-405 189 168 26 185
-406 136 27 142 219
-407 101 224 137 29
-408 144 169 130 32
-409 33 198 149 193
-410 34 202 170 197
-411 125 38 192 140
-412 165 223 39 184
-413 199 234 40 183
-414 99 209 41 186
-415 78 57 124 217
-416 79 92 161 207
-417 80 93 160 153
-418 88 187 81 208
-419 77 94 106 162
-420 105 205 174 76
-421 104 72 206 251
-422 113 71 150 96
-423 209 201 87 186
-424 189 84 185 196
-425 60 159 118 98
-426 232 123 156 53
-427 233 107 54 175
-428 55 90 212 116
-429 56 200 213 252
-430 89 59 158 117
-431 210 82 203 61
-432 231 190 204 62
-433 220 211 191 63
-434 66 126 216 74
-435 67 177 214 163
-436 68 167 178 119
-437 122 166 70 230
-438 215 73 238 218
-439 188 256 85 195
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-442 255 225 160 153
-443 154 187 109 208
-444 133 155 127 229
-445 143 122 166 182
-446 222 135 148 141
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-448 112 245 227 173
-449 132 242 146 164
-450 236 105 228 174
-451 253 180 104 251
-452 247 237 106 162
-453 67 177 233 107
-454 154 214 163 109
-455 113 215 150 238
-456 121 114 73 218
-457 115 126 216 151
-458 68 178 212 116
-459 167 247 237 119
-460 111 244 213 252
-461 123 156 124 217
-462 155 127 161 207
-463 144 239 130 241
-464 134 145 235 131
-465 135 157 141 240
-466 255 224 137 225
-467 255 225 138 226
-468 58 139 239 241
-469 243 254 222 148
-470 122 166 171 152
-471 245 171 227 152
-472 157 213 240 252
-473 242 246 249 164
-474 110 248 54 175
-475 55 90 147 108
-476 89 134 59 235
-477 113 204 62 150
-478 211 104 63 251
-479 66 70 74 230
-480 221 246 249 75
-481 154 85 195 109
-482 181 247 237 86
-483 121 198 114 193
-484 202 115 151 197
-485 242 155 127 164
-486 123 156 157 240
-487 132 199 146 183
-488 145 223 184 131
-489 253 180 192 140
-490 158 117 239 241
-491 147 194 250 108
-492 110 246 248 249
-493 243 254 124 217
-494 133 236 228 229
-495 215 238 142 219
-496 143 182 215 238
-497 255 159 225 118
-498 161 239 207 241
-499 198 243 254 193
-500 188 256 202 197
-501 187 213 208 252
-502 231 190 194 250
-503 220 191 246 249
-504 199 247 237 183
-505 223 236 184 228
-506 134 235 194 250
-507 189 245 227 185
-508 209 245 227 186
-509 188 233 256 107
-510 243 254 212 116
-511 253 180 126 216
-512 214 236 228 163
0

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