Graph forms
for C4 [ 504, 94 ] = UG(ATD[504,167])
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On this page are computer-accessible forms for the graph C4[ 504, 94 ] =
UG(ATD[504,167]).
(I) Following is a form readable by MAGMA:
g:=Graph<504|{ {364, 365}, {446, 447}, {8, 10}, {452, 454}, {1, 2}, {89, 90},
{268, 271}, {75, 79}, {1, 4}, {482, 487}, {443, 446}, {130, 135}, {2, 7}, {267,
270}, {355, 357}, {499, 501}, {457, 463}, {1, 6}, {32, 39}, {339, 347}, {21,
28}, {3, 8}, {3, 15}, {146, 158}, {5, 9}, {228, 233}, {17, 31}, {134, 136}, {1,
14}, {503, 504}, {368, 383}, {67, 83}, {483, 498}, {33, 51}, {12, 31}, {34, 49},
{2, 22}, {455, 467}, {9, 29}, {8, 28}, {5, 17}, {4, 16}, {3, 23}, {11, 30},
{483, 502}, {106, 127}, {193, 215}, {448, 470}, {416, 438}, {105, 126}, {359,
368}, {236, 244}, {237, 245}, {357, 380}, {489, 496}, {458, 467}, {455, 478},
{65, 91}, {429, 439}, {384, 410}, {367, 373}, {230, 252}, {198, 221}, {494,
501}, {4, 24}, {7, 27}, {6, 26}, {5, 25}, {231, 251}, {130, 156}, {235, 244},
{320, 352}, {321, 353}, {70, 103}, {196, 229}, {217, 248}, {193, 227}, {340,
374}, {331, 361}, {337, 370}, {467, 496}, {341, 374}, {457, 493}, {470, 498},
{468, 496}, {69, 96}, {412, 441}, {196, 225}, {218, 255}, {449, 487}, {217,
254}, {336, 375}, {324, 355}, {76, 100}, {478, 502}, {278, 318}, {2, 40}, {151,
188}, {407, 444}, {324, 367}, {18, 62}, {453, 489}, {19, 63}, {13, 32}, {473,
500}, {141, 160}, {64, 111}, {193, 238}, {328, 376}, {389, 437}, {348, 364},
{338, 354}, {19, 34}, {145, 160}, {76, 125}, {74, 123}, {72, 121}, {21, 36}, {4,
54}, {15, 61}, {14, 60}, {11, 57}, {10, 56}, {5, 55}, {18, 33}, {459, 504}, {73,
122}, {70, 117}, {68, 119}, {65, 116}, {67, 118}, {3, 53}, {333, 379}, {152,
174}, {13, 59}, {12, 58}, {199, 241}, {20, 35}, {75, 124}, {66, 117}, {31, 38},
{342, 367}, {339, 362}, {222, 231}, {209, 235}, {260, 318}, {30, 37}, {221,
225}, {269, 304}, {16, 47}, {469, 490}, {144, 175}, {71, 120}, {41, 105}, {316,
380}, {46, 110}, {45, 109}, {44, 108}, {43, 107}, {42, 106}, {49, 112}, {53,
116}, {51, 114}, {188, 253}, {170, 232}, {172, 238}, {50, 113}, {277, 342}, {34,
102}, {420, 480}, {293, 353}, {290, 358}, {35, 103}, {32, 101}, {445, 504},
{421, 480}, {419, 486}, {399, 458}, {144, 213}, {387, 453}, {8, 79}, {433, 502},
{410, 477}, {52, 115}, {24, 95}, {16, 87}, {7, 78}, {386, 459}, {172, 229}, {23,
94}, {21, 92}, {19, 90}, {17, 88}, {289, 360}, {6, 77}, {57, 114}, {22, 93},
{18, 89}, {36, 104}, {423, 491}, {309, 377}, {191, 243}, {165, 232}, {396, 449},
{189, 243}, {405, 475}, {386, 460}, {384, 462}, {20, 91}, {130, 205}, {42, 101},
{138, 218}, {277, 325}, {286, 334}, {63, 110}, {420, 501}, {394, 475}, {62,
109}, {20, 64}, {409, 461}, {297, 381}, {164, 240}, {33, 116}, {422, 499}, {419,
502}, {308, 353}, {140, 217}, {37, 112}, {258, 343}, {150, 192}, {439, 481},
{33, 118}, {384, 472}, {9, 80}, {146, 203}, {15, 86}, {13, 84}, {11, 82}, {447,
485}, {10, 81}, {14, 85}, {187, 224}, {176, 236}, {408, 452}, {190, 226}, {266,
342}, {141, 208}, {146, 207}, {32, 126}, {12, 83}, {412, 451}, {169, 246}, {48,
111}, {257, 350}, {60, 92}, {401, 497}, {319, 351}, {309, 341}, {293, 325},
{180, 212}, {263, 359}, {269, 365}, {270, 366}, {279, 375}, {49, 80}, {316,
349}, {314, 347}, {310, 343}, {280, 378}, {312, 346}, {284, 383}, {447, 476},
{430, 461}, {427, 462}, {171, 205}, {427, 461}, {307, 340}, {256, 360}, {445,
469}, {442, 466}, {387, 491}, {257, 363}, {421, 463}, {412, 503}, {446, 469},
{151, 250}, {389, 488}, {156, 241}, {155, 246}, {311, 345}, {431, 449}, {261,
362}, {429, 450}, {394, 485}, {426, 474}, {297, 344}, {430, 479}, {413, 495},
{434, 448}, {303, 348}, {154, 239}, {409, 492}, {432, 455}, {133, 253}, {420,
476}, {273, 361}, {288, 344}, {13, 116}, {442, 451}, {44, 85}, {27, 98}, {25,
96}, {267, 370}, {30, 100}, {26, 97}, {447, 452}, {392, 499}, {38, 93}, {279,
363}, {402, 494}, {406, 491}, {29, 99}, {59, 69}, {52, 180}, {281, 408}, {370,
499}, {337, 464}, {323, 450}, {80, 210}, {367, 493}, {363, 488}, {266, 398},
{360, 492}, {324, 448}, {291, 423}, {9, 140}, {356, 481}, {45, 168}, {53, 178},
{349, 474}, {281, 401}, {376, 496}, {320, 456}, {50, 187}, {303, 422}, {65,
203}, {69, 207}, {68, 206}, {262, 396}, {351, 468}, {6, 138}, {47, 163}, {7,
139}, {24, 150}, {383, 497}, {356, 490}, {290, 428}, {67, 205}, {66, 204}, {126,
238}, {304, 416}, {81, 195}, {352, 498}, {295, 436}, {16, 132}, {332, 472}, {56,
173}, {354, 503}, {283, 398}, {40, 190}, {341, 451}, {124, 234}, {41, 191},
{257, 407}, {95, 200}, {54, 174}, {72, 208}, {46, 183}, {38, 188}, {296, 434},
{68, 222}, {51, 169}, {39, 189}, {74, 209}, {381, 486}, {330, 465}, {70, 218},
{303, 435}, {98, 254}, {60, 161}, {375, 490}, {37, 187}, {348, 450}, {310, 424},
{26, 133}, {61, 162}, {115, 211}, {343, 503}, {312, 409}, {69, 230}, {310, 405},
{264, 427}, {280, 443}, {18, 183}, {338, 500}, {343, 497}, {17, 182}, {356,
460}, {55, 158}, {282, 435}, {113, 219}, {364, 454}, {296, 386}, {19, 184},
{302, 389}, {295, 396}, {265, 418}, {49, 157}, {333, 481}, {299, 391}, {20,
185}, {372, 473}, {287, 434}, {312, 406}, {21, 186}, {368, 479}, {359, 456},
{290, 397}, {345, 488}, {351, 493}, {377, 458}, {378, 463}, {125, 202}, {336,
487}, {283, 428}, {288, 408}, {11, 178}, {258, 443}, {14, 180}, {59, 129}, {15,
181}, {10, 177}, {366, 466}, {345, 484}, {22, 168}, {106, 212}, {43, 149}, {12,
179}, {292, 484}, {376, 440}, {289, 483}, {352, 418}, {119, 180}, {294, 485},
{266, 462}, {369, 437}, {283, 479}, {99, 166}, {372, 433}, {298, 495}, {382,
441}, {108, 164}, {304, 504}, {268, 453}, {373, 444}, {366, 423}, {275, 474},
{23, 220}, {335, 388}, {102, 173}, {299, 487}, {58, 247}, {366, 419}, {272,
477}, {75, 132}, {369, 446}, {47, 255}, {121, 169}, {120, 168}, {112, 160}, {44,
253}, {77, 156}, {36, 246}, {120, 170}, {41, 251}, {40, 250}, {37, 247}, {45,
254}, {258, 465}, {118, 162}, {382, 426}, {68, 145}, {331, 414}, {305, 484},
{264, 478}, {265, 479}, {43, 252}, {86, 129}, {262, 465}, {264, 464}, {332,
404}, {311, 494}, {374, 431}, {349, 388}, {54, 236}, {332, 407}, {371, 424},
{358, 445}, {25, 197}, {347, 390}, {38, 248}, {335, 401}, {39, 249}, {262, 472},
{71, 152}, {259, 476}, {123, 155}, {80, 177}, {335, 429}, {119, 148}, {347,
440}, {301, 457}, {117, 157}, {349, 437}, {328, 417}, {27, 241}, {111, 133},
{31, 245}, {30, 244}, {107, 128}, {44, 192}, {298, 454}, {46, 194}, {45, 193},
{108, 129}, {374, 411}, {370, 415}, {110, 131}, {28, 242}, {382, 400}, {29,
243}, {109, 130}, {308, 475}, {271, 480}, {52, 196}, {56, 200}, {55, 199}, {54,
198}, {53, 197}, {284, 492}, {35, 210}, {59, 202}, {275, 482}, {365, 415}, {48,
195}, {313, 458}, {58, 201}, {274, 481}, {282, 489}, {355, 406}, {112, 134},
{113, 135}, {42, 221}, {333, 442}, {73, 176}, {276, 493}, {282, 483}, {26, 224},
{301, 471}, {115, 137}, {114, 136}, {34, 216}, {285, 486}, {372, 399}, {286,
482}, {368, 396}, {336, 428}, {265, 500}, {372, 393}, {77, 179}, {371, 397},
{373, 394}, {95, 351}, {135, 391}, {96, 352}, {178, 432}, {170, 425}, {181,
433}, {71, 322}, {183, 434}, {77, 330}, {149, 413}, {252, 500}, {128, 393},
{208, 474}, {137, 386}, {158, 405}, {167, 425}, {175, 417}, {189, 435}, {101,
362}, {150, 391}, {191, 430}, {84, 326}, {182, 421}, {25, 269}, {205, 473}, {48,
294}, {215, 449}, {243, 491}, {134, 412}, {138, 406}, {206, 466}, {244, 488},
{202, 471}, {50, 300}, {140, 402}, {213, 459}, {99, 380}, {122, 357}, {214,
457}, {201, 489}, {140, 429}, {143, 430}, {248, 473}, {255, 478}, {139, 425},
{176, 402}, {187, 409}, {194, 480}, {136, 427}, {88, 381}, {114, 340}, {139,
428}, {224, 455}, {171, 387}, {182, 414}, {253, 468}, {163, 393}, {192, 490},
{87, 380}, {103, 331}, {73, 356}, {251, 470}, {132, 426}, {166, 392}, {182,
408}, {81, 382}, {161, 398}, {48, 256}, {119, 327}, {190, 398}, {51, 258}, {161,
400}, {184, 393}, {186, 395}, {154, 424}, {161, 403}, {240, 450}, {50, 257},
{156, 431}, {55, 260}, {185, 394}, {181, 384}, {62, 264}, {163, 405}, {162,
404}, {63, 265}, {195, 501}, {52, 259}, {214, 494}, {227, 475}, {228, 476},
{240, 456}, {143, 438}, {159, 422}, {178, 395}, {60, 262}, {61, 263}, {89, 354},
{165, 414}, {153, 418}, {186, 385}, {230, 477}, {57, 261}, {171, 407}, {177,
397}, {167, 410}, {209, 492}, {120, 326}, {165, 411}, {242, 460}, {144, 431},
{97, 289}, {102, 294}, {212, 404}, {249, 441}, {167, 486}, {245, 436}, {24,
346}, {107, 297}, {106, 296}, {97, 291}, {96, 290}, {93, 287}, {92, 286}, {201,
395}, {88, 283}, {133, 454}, {81, 277}, {127, 315}, {83, 279}, {82, 278}, {223,
411}, {90, 284}, {99, 293}, {98, 292}, {94, 280}, {91, 285}, {217, 415}, {100,
291}, {148, 467}, {200, 399}, {70, 270}, {94, 278}, {71, 271}, {64, 266}, {65,
267}, {197, 399}, {62, 373}, {84, 280}, {152, 468}, {87, 282}, {125, 304}, {105,
292}, {197, 392}, {66, 268}, {67, 269}, {86, 281}, {104, 295}, {202, 389}, {98,
307}, {194, 403}, {85, 263}, {86, 261}, {131, 464}, {124, 303}, {87, 260}, {109,
313}, {226, 438}, {123, 302}, {198, 400}, {199, 401}, {122, 301}, {147, 452},
{239, 440}, {246, 417}, {72, 272}, {137, 465}, {118, 302}, {115, 299}, {74,
274}, {73, 273}, {117, 300}, {78, 276}, {104, 306}, {200, 402}, {220, 390},
{113, 298}, {124, 288}, {139, 471}, {143, 466}, {227, 445}, {76, 275}, {213,
437}, {250, 410}, {215, 438}, {43, 329}, {218, 440}, {248, 411}, {121, 285},
{223, 443}, {220, 441}, {210, 436}, {221, 442}, {247, 400}, {47, 327}, {91,
306}, {247, 413}, {234, 388}, {46, 321}, {61, 338}, {183, 472}, {216, 439},
{252, 403}, {83, 291}, {166, 470}, {149, 485}, {23, 358}, {249, 392}, {36, 342},
{210, 416}, {22, 357}, {78, 317}, {195, 432}, {207, 444}, {28, 360}, {29, 361},
{245, 385}, {242, 388}, {102, 273}, {162, 469}, {203, 435}, {174, 471}, {105,
274}, {159, 484}, {204, 439}, {27, 359}, {172, 464}, {233, 404}, {251, 390},
{79, 305}, {97, 287}, {95, 289}, {94, 288}, {207, 433}, {35, 348}, {234, 361},
{185, 317}, {186, 319}, {254, 379}, {39, 416}, {79, 456}, {85, 477}, {40, 417},
{216, 337}, {134, 267}, {151, 281}, {176, 318}, {142, 287}, {209, 320}, {125,
495}, {213, 326}, {147, 263}, {222, 328}, {223, 329}, {84, 451}, {131, 276},
{101, 498}, {93, 453}, {122, 482}, {242, 362}, {164, 317}, {166, 319}, {56,
418}, {142, 276}, {57, 419}, {165, 318}, {220, 327}, {228, 376}, {153, 260},
{241, 364}, {58, 420}, {196, 346}, {179, 300}, {42, 395}, {155, 314}, {153,
312}, {63, 414}, {82, 497}, {175, 268}, {159, 316}, {154, 313}, {148, 311},
{108, 463}, {104, 459}, {240, 339}, {41, 397}, {152, 316}, {145, 309}, {144,
308}, {215, 371}, {226, 326}, {234, 334}, {235, 335}, {107, 462}, {147, 310},
{206, 363}, {232, 333}, {157, 315}, {154, 317}, {214, 369}, {255, 344}, {100,
460}, {181, 284}, {238, 327}, {103, 461}, {155, 305}, {231, 332}, {233, 322},
{190, 275}, {228, 330}, {229, 331}, {250, 340}, {136, 295}, {150, 294}, {153,
297}, {233, 345}, {198, 375}, {137, 314}, {229, 339}, {88, 495}, {146, 298},
{147, 299}, {123, 448}, {141, 305}, {143, 307}, {142, 306}, {204, 369}, {237,
336}, {174, 272}, {199, 377}, {239, 337}, {237, 338}, {131, 323}, {189, 381},
{128, 321}, {164, 358}, {211, 273}, {249, 315}, {129, 322}, {184, 379}, {138,
334}, {121, 444}, {237, 296}, {89, 415}, {212, 274}, {201, 270}, {78, 391},
{171, 353}, {239, 292}, {132, 328}, {76, 385}, {222, 272}, {227, 301}, {149,
325}, {208, 256}, {223, 271}, {141, 350}, {177, 354}, {72, 413}, {172, 378},
{126, 425}, {158, 329}, {157, 325}, {235, 307}, {236, 309}, {92, 390}, {110,
436}, {216, 259}, {219, 256}, {151, 330}, {160, 383}, {175, 334}, {185, 344},
{191, 350}, {145, 371}, {184, 346}, {75, 424}, {142, 365}, {224, 259}, {66,
422}, {135, 355}, {64, 421}, {159, 377}, {167, 320}, {211, 308}, {168, 321},
{173, 324}, {170, 323}, {219, 306}, {90, 432}, {169, 322}, {127, 403}, {74,
423}, {232, 261}, {111, 385}, {148, 379}, {230, 279}, {203, 313}, {231, 277},
{173, 350}, {214, 293}, {206, 315}, {219, 302}, {163, 341}, {204, 314}, {192,
311}, {225, 278}, {82, 426}, {128, 378}, {179, 329}, {127, 387}, {194, 319},
{188, 323}, {211, 300}, {225, 286}, {226, 285} }>;
(II) A more general form is to represent the graph as the orbit of {364, 365}
under the group generated by the following permutations:
a: (1, 2)(3, 9)(4, 7)(5, 8)(6, 40)(10, 25)(11, 35)(12, 36)(13, 34)(14, 22)(15,
29)(16, 27)(17, 28)(18, 315)(19, 32)(20, 30)(21, 31)(23, 140)(24, 139)(26,
190)(33, 157)(37, 91)(38, 92)(39, 90)(41, 372)(42, 110)(43, 123)(44, 122)(45,
119)(46, 106)(47, 98)(48, 125)(49, 116)(50, 121)(51, 117)(52, 120)(53, 80)(54,
78)(55, 79)(56, 96)(57, 103)(58, 104)(59, 102)(60, 93)(61, 99)(62, 206)(63,
101)(64, 100)(65, 112)(66, 258)(67, 277)(68, 109)(69, 173)(70, 114)(71, 115)(72,
113)(73, 108)(74, 107)(75, 199)(76, 111)(77, 417)(81, 269)(82, 348)(83, 342)(84,
216)(85, 357)(86, 361)(87, 359)(88, 360)(89, 249)(94, 429)(95, 428)(97,
398)(105, 393)(118, 325)(124, 401)(126, 184)(127, 183)(128, 274)(129, 273)(130,
222)(131, 221)(132, 241)(133, 275)(134, 267)(135, 272)(136, 270)(137, 271)(138,
250)(141, 146)(142, 400)(143, 478)(144, 228)(145, 313)(147, 316)(148, 193)(149,
302)(150, 471)(151, 334)(152, 299)(153, 320)(154, 309)(155, 329)(156, 328)(158,
305)(159, 310)(160, 203)(161, 287)(162, 293)(163, 292)(164, 176)(165, 339)(166,
338)(167, 312)(168, 180)(169, 300)(170, 196)(171, 332)(172, 333)(174, 391)(175,
330)(177, 197)(178, 210)(179, 246)(181, 243)(182, 242)(185, 244)(186, 245)(187,
285)(188, 286)(189, 284)(191, 433)(192, 301)(194, 296)(195, 304)(198, 276)(200,
290)(201, 295)(202, 294)(204, 443)(205, 231)(207, 350)(208, 298)(209, 297)(211,
322)(212, 321)(213, 476)(214, 469)(215, 467)(217, 220)(218, 340)(219, 413)(223,
314)(224, 226)(225, 323)(227, 311)(229, 232)(230, 324)(233, 308)(234, 281)(235,
344)(236, 317)(237, 319)(238, 379)(239, 341)(240, 318)(247, 306)(248, 390)(251,
473)(252, 448)(253, 482)(254, 327)(255, 307)(256, 495)(257, 444)(259, 326)(260,
456)(261, 331)(262, 453)(263, 380)(264, 466)(265, 498)(266, 291)(268, 465)(278,
450)(279, 367)(280, 439)(282, 368)(283, 289)(288, 335)(303, 497)(336, 351)(337,
451)(343, 422)(345, 475)(346, 425)(347, 411)(349, 452)(352, 418)(353, 404)(354,
392)(355, 477)(356, 463)(358, 402)(362, 414)(363, 373)(364, 426)(365, 382)(366,
427)(369, 446)(370, 412)(371, 458)(374, 440)(375, 493)(376, 431)(377, 424)(378,
481)(381, 492)(383, 435)(384, 491)(386, 480)(387, 472)(388, 408)(389, 485)(394,
488)(395, 436)(396, 489)(397, 399)(403, 434)(405, 484)(406, 410)(409, 486)(415,
441)(416, 432)(419, 461)(420, 459)(421, 460)(423, 462)(430, 502)(437, 447)(438,
455)(442, 464)(445, 494)(449, 496)(454, 474)(457, 490)(468, 487)(470, 500)(479,
483)(499, 503)(501, 504) (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 **************
b: (2, 6)(3, 10)(4, 14)(5, 18)(7, 26)(9, 33)(11, 41)(12, 45)(13, 49)(15, 56)(16,
60)(17, 62)(19, 69)(21, 75)(22, 77)(23, 81)(24, 85)(25, 89)(27, 97)(28, 79)(29,
51)(30, 105)(31, 109)(32, 112)(34, 59)(35, 91)(36, 124)(37, 126)(38, 130)(39,
134)(40, 138)(42, 145)(43, 128)(44, 150)(46, 158)(47, 161)(48, 164)(50, 170)(52,
174)(53, 177)(54, 180)(55, 183)(57, 191)(58, 193)(61, 200)(63, 207)(64, 185)(65,
210)(66, 213)(67, 217)(68, 221)(70, 226)(71, 211)(72, 229)(73, 233)(74, 235)(76,
239)(78, 133)(80, 116)(82, 251)(83, 254)(84, 157)(86, 173)(87, 262)(88, 264)(90,
96)(92, 132)(93, 156)(94, 277)(95, 263)(98, 291)(99, 258)(100, 292)(101,
160)(102, 129)(103, 285)(104, 303)(106, 309)(108, 294)(110, 146)(111, 317)(113,
323)(114, 243)(115, 152)(117, 326)(118, 140)(119, 198)(120, 300)(121, 331)(122,
228)(123, 335)(125, 337)(127, 341)(131, 298)(135, 188)(136, 189)(137, 316)(139,
224)(141, 362)(142, 364)(143, 366)(144, 268)(147, 351)(148, 375)(149, 378)(151,
355)(153, 384)(154, 385)(155, 388)(159, 386)(162, 402)(163, 403)(165, 407)(166,
343)(167, 409)(168, 179)(169, 361)(171, 411)(172, 413)(176, 404)(178, 397)(181,
418)(182, 373)(184, 230)(186, 424)(187, 425)(190, 218)(194, 405)(195, 358)(196,
272)(197, 354)(199, 434)(201, 215)(202, 216)(203, 436)(204, 437)(205, 248)(206,
442)(208, 339)(212, 236)(214, 446)(219, 450)(220, 382)(222, 225)(223, 353)(227,
420)(231, 278)(232, 257)(234, 246)(237, 458)(238, 247)(240, 256)(241, 287)(242,
305)(244, 274)(245, 313)(249, 412)(250, 406)(252, 393)(253, 391)(255, 398)(259,
471)(260, 472)(261, 350)(265, 433)(266, 344)(267, 416)(269, 415)(270, 438)(271,
308)(273, 322)(275, 440)(276, 454)(279, 379)(280, 325)(281, 324)(282, 396)(283,
478)(284, 352)(286, 328)(288, 342)(289, 359)(290, 432)(293, 443)(295, 435)(296,
377)(297, 462)(299, 468)(301, 476)(302, 429)(304, 370)(306, 348)(307, 423)(310,
319)(311, 490)(312, 410)(314, 349)(315, 451)(318, 332)(320, 492)(321, 329)(327,
400)(330, 357)(333, 363)(334, 417)(336, 467)(338, 399)(340, 491)(345, 356)(346,
477)(347, 474)(360, 456)(367, 408)(368, 483)(371, 395)(372, 500)(374, 387)(376,
482)(380, 465)(381, 427)(383, 498)(389, 439)(390, 426)(392, 503)(394, 421)(401,
448)(414, 444)(419, 430)(422, 459)(428, 455)(431, 453)(445, 501)(447, 457)(449,
489)(452, 493)(460, 484)(461, 486)(463, 485)(464, 495)(469, 494)(470, 497)(475,
480)(479, 502)(481, 488)(487, 496)(499, 504)
c: (2, 14)(3, 91)(4, 6)(5, 112)(7, 60)(8, 20)(9, 49)(10, 35)(11, 146)(12,
309)(13, 33)(15, 285)(16, 26)(17, 160)(18, 32)(19, 243)(21, 317)(22, 180)(23,
306)(24, 138)(25, 134)(27, 161)(28, 185)(29, 34)(30, 158)(31, 145)(36, 164)(37,
55)(38, 68)(39, 89)(40, 85)(41, 110)(42, 109)(43, 235)(44, 417)(45, 106)(46,
105)(47, 97)(48, 124)(50, 318)(51, 59)(52, 357)(53, 65)(54, 77)(56, 103)(57,
207)(58, 377)(61, 226)(62, 101)(63, 191)(64, 79)(66, 494)(67, 451)(69, 114)(70,
200)(71, 233)(72, 281)(73, 211)(74, 128)(75, 111)(76, 310)(78, 92)(81, 348)(82,
298)(83, 341)(84, 118)(86, 121)(87, 224)(88, 383)(90, 189)(93, 119)(94, 219)(95,
218)(96, 136)(98, 403)(99, 216)(100, 405)(102, 361)(104, 358)(107, 209)(108,
246)(113, 278)(115, 122)(117, 402)(120, 404)(123, 378)(125, 343)(126, 183)(127,
254)(129, 169)(130, 221)(131, 251)(132, 133)(135, 225)(137, 301)(139, 262)(140,
157)(141, 182)(142, 220)(143, 500)(144, 490)(147, 275)(148, 453)(149, 335)(150,
334)(151, 272)(152, 228)(153, 409)(154, 186)(155, 463)(156, 198)(159, 420)(162,
326)(163, 291)(165, 257)(166, 337)(167, 384)(168, 212)(170, 332)(171, 333)(172,
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