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[Families]
On this page are computer-accessible forms for the graph C4[ 480, 270 ] =
UG(ATD[480,443]).
(I) Following is a form readable by MAGMA:
g:=Graph<480|{ {64, 66}, {440, 442}, {180, 183}, {365, 366}, {225, 226}, {285,
286}, {74, 79}, {418, 423}, {354, 359}, {210, 215}, {218, 223}, {224, 229},
{274, 279}, {314, 319}, {385, 391}, {1, 6}, {401, 406}, {369, 374}, {105, 110},
{75, 76}, {17, 22}, {16, 23}, {289, 294}, {315, 316}, {2, 10}, {467, 475}, {422,
430}, {416, 424}, {5, 12}, {470, 479}, {438, 447}, {371, 378}, {119, 126}, {291,
298}, {1, 11}, {455, 461}, {384, 394}, {135, 141}, {82, 88}, {37, 47}, {179,
184}, {465, 474}, {435, 440}, {423, 428}, {402, 409}, {389, 398}, {387, 392},
{386, 393}, {375, 380}, {356, 367}, {276, 287}, {295, 300}, {305, 314}, {307,
312}, {342, 349}, {103, 107}, {437, 441}, {387, 399}, {309, 313}, {272, 285},
{468, 473}, {352, 365}, {336, 349}, {338, 348}, {85, 90}, {466, 477}, {355,
364}, {112, 127}, {275, 284}, {341, 346}, {453, 469}, {463, 479}, {1, 16}, {451,
466}, {363, 378}, {162, 176}, {6, 21}, {198, 213}, {11, 31}, {417, 437}, {364,
376}, {358, 370}, {199, 211}, {192, 212}, {72, 92}, {36, 48}, {396, 409}, {462,
475}, {422, 435}, {418, 439}, {134, 144}, {398, 408}, {303, 313}, {3, 20}, {454,
465}, {193, 214}, {165, 178}, {459, 467}, {132, 157}, {448, 473}, {431, 438},
{429, 436}, {366, 375}, {363, 370}, {71, 93}, {450, 472}, {428, 438}, {271,
277}, {1, 26}, {425, 434}, {206, 213}, {239, 244}, {335, 339}, {357, 377}, {131,
158}, {448, 477}, {358, 379}, {7, 25}, {236, 242}, {4, 27}, {457, 470}, {392,
407}, {391, 408}, {333, 338}, {8, 40}, {30, 62}, {13, 45}, {205, 237}, {8, 41},
{74, 107}, {6, 36}, {11, 41}, {221, 255}, {223, 252}, {405, 438}, {22, 50},
{403, 439}, {400, 436}, {73, 109}, {141, 168}, {407, 434}, {203, 238}, {221,
248}, {26, 60}, {29, 59}, {26, 61}, {142, 167}, {222, 247}, {29, 54}, {137,
162}, {136, 163}, {77, 97}, {7, 42}, {30, 51}, {76, 98}, {15, 32}, {134, 182},
{464, 480}, {136, 185}, {283, 298}, {334, 383}, {12, 62}, {415, 429}, {412,
430}, {332, 382}, {11, 56}, {278, 290}, {284, 296}, {6, 51}, {406, 419}, {156,
169}, {19, 37}, {409, 431}, {398, 440}, {158, 168}, {149, 163}, {14, 57}, {407,
416}, {147, 164}, {12, 52}, {91, 99}, {20, 45}, {386, 443}, {130, 187}, {70,
127}, {283, 290}, {286, 295}, {351, 357}, {411, 417}, {14, 53}, {65, 122}, {27,
32}, {21, 46}, {20, 40}, {384, 444}, {138, 182}, {66, 126}, {220, 224}, {277,
297}, {9, 52}, {414, 419}, {133, 184}, {129, 188}, {88, 101}, {17, 44}, {278,
299}, {28, 34}, {388, 442}, {86, 105}, {385, 446}, {93, 98}, {264, 328}, {9,
72}, {59, 122}, {10, 75}, {263, 326}, {288, 354}, {394, 456}, {17, 82}, {18,
81}, {42, 110}, {403, 471}, {392, 460}, {388, 448}, {61, 121}, {156, 217}, {399,
458}, {291, 358}, {312, 381}, {25, 95}, {406, 464}, {397, 459}, {58, 124}, {44,
106}, {23, 80}, {390, 449}, {159, 216}, {397, 453}, {28, 85}, {189, 244}, {63,
118}, {60, 117}, {59, 114}, {31, 86}, {62, 116}, {404, 478}, {401, 475}, {400,
474}, {396, 454}, {187, 241}, {299, 353}, {26, 81}, {414, 469}, {413, 470}, {56,
115}, {47, 100}, {23, 91}, {395, 455}, {56, 116}, {257, 333}, {300, 352}, {13,
64}, {409, 468}, {402, 479}, {46, 96}, {430, 480}, {394, 452}, {294, 360}, {260,
331}, {410, 469}, {271, 351}, {415, 463}, {289, 369}, {295, 375}, {296, 376},
{292, 373}, {34, 112}, {288, 370}, {7, 84}, {393, 474}, {2, 87}, {408, 461},
{153, 204}, {152, 205}, {32, 117}, {3, 86}, {300, 377}, {33, 119}, {411, 461},
{407, 449}, {399, 473}, {130, 212}, {272, 326}, {16, 71}, {410, 450}, {18, 75},
{132, 221}, {21, 76}, {33, 123}, {178, 232}, {160, 250}, {256, 346}, {34, 121},
{391, 476}, {54, 109}, {274, 329}, {173, 241}, {395, 471}, {31, 66}, {405, 456},
{180, 233}, {174, 243}, {55, 106}, {10, 85}, {404, 459}, {257, 350}, {35, 67},
{446, 478}, {426, 458}, {420, 452}, {138, 234}, {55, 87}, {273, 369}, {278,
374}, {316, 348}, {133, 231}, {417, 451}, {185, 219}, {184, 218}, {159, 253},
{157, 254}, {444, 479}, {443, 472}, {279, 372}, {63, 90}, {302, 331}, {311,
338}, {14, 104}, {445, 475}, {442, 476}, {430, 456}, {424, 462}, {134, 224},
{317, 347}, {4, 108}, {429, 453}, {2, 107}, {393, 480}, {158, 247}, {285, 372},
{289, 328}, {312, 337}, {15, 101}, {153, 243}, {61, 87}, {51, 89}, {39, 77},
{281, 371}, {140, 231}, {419, 456}, {418, 457}, {144, 251}, {290, 329}, {434,
478}, {132, 233}, {433, 476}, {426, 455}, {311, 345}, {154, 245}, {313, 342},
{31, 111}, {279, 359}, {283, 363}, {307, 323}, {318, 334}, {142, 255}, {421,
468}, {308, 325}, {275, 353}, {443, 457}, {280, 362}, {317, 335}, {24, 107},
{187, 200}, {144, 227}, {42, 89}, {282, 361}, {437, 449}, {16, 101}, {441, 460},
{433, 452}, {428, 473}, {427, 478}, {421, 464}, {190, 203}, {19, 102}, {188,
202}, {440, 462}, {432, 454}, {45, 90}, {416, 471}, {145, 230}, {40, 80}, {439,
463}, {435, 459}, {162, 218}, {156, 229}, {190, 199}, {157, 228}, {29, 103},
{444, 454}, {186, 192}, {57, 67}, {33, 90}, {447, 452}, {446, 453}, {63, 68},
{150, 234}, {432, 460}, {427, 471}, {420, 472}, {276, 360}, {27, 102}, {164,
217}, {148, 233}, {274, 367}, {276, 361}, {304, 334}, {445, 451}, {21, 106},
{425, 470}, {189, 194}, {58, 69}, {287, 352}, {306, 333}, {307, 332}, {44, 172},
{349, 477}, {284, 412}, {293, 421}, {294, 422}, {318, 447}, {41, 171}, {96,
226}, {60, 190}, {281, 411}, {297, 427}, {320, 450}, {22, 149}, {118, 245}, {68,
199}, {55, 180}, {318, 445}, {53, 177}, {113, 245}, {98, 230}, {57, 189}, {299,
431}, {69, 192}, {316, 441}, {67, 197}, {49, 182}, {108, 235}, {61, 186}, {256,
391}, {280, 415}, {298, 429}, {35, 171}, {296, 416}, {5, 140}, {258, 395}, {120,
242}, {299, 417}, {69, 206}, {70, 205}, {277, 414}, {34, 174}, {4, 137}, {106,
231}, {68, 201}, {258, 396}, {25, 150}, {125, 242}, {124, 243}, {49, 161}, {89,
201}, {259, 403}, {76, 221}, {50, 160}, {347, 457}, {88, 202}, {48, 163}, {257,
402}, {339, 448}, {68, 208}, {98, 246}, {260, 400}, {38, 179}, {73, 220}, {57,
172}, {343, 450}, {39, 177}, {59, 173}, {349, 458}, {2, 154}, {55, 175}, {52,
173}, {346, 451}, {46, 181}, {348, 455}, {298, 433}, {24, 132}, {97, 252}, {5,
155}, {111, 241}, {100, 250}, {99, 253}, {25, 135}, {71, 216}, {113, 209}, {378,
474}, {38, 135}, {380, 477}, {377, 472}, {58, 155}, {51, 146}, {48, 145}, {41,
136}, {364, 462}, {46, 141}, {53, 150}, {63, 155}, {373, 465}, {361, 461}, {77,
232}, {377, 476}, {374, 467}, {87, 242}, {19, 181}, {23, 176}, {373, 466}, {43,
140}, {36, 131}, {17, 185}, {36, 140}, {317, 405}, {8, 161}, {88, 241}, {78,
231}, {24, 177}, {122, 208}, {111, 196}, {39, 139}, {111, 195}, {48, 156}, {126,
211}, {319, 401}, {10, 165}, {125, 210}, {78, 225}, {56, 151}, {114, 194}, {125,
205}, {118, 198}, {7, 182}, {379, 458}, {123, 202}, {117, 196}, {3, 177}, {42,
152}, {38, 146}, {285, 424}, {357, 464}, {37, 147}, {378, 460}, {115, 197}, {94,
232}, {5, 178}, {120, 207}, {93, 234}, {319, 392}, {43, 147}, {365, 469}, {121,
193}, {113, 201}, {259, 442}, {362, 467}, {360, 465}, {260, 445}, {292, 413},
{315, 386}, {116, 206}, {293, 415}, {314, 384}, {45, 150}, {372, 463}, {96,
219}, {43, 151}, {54, 138}, {282, 422}, {313, 389}, {114, 207}, {9, 183}, {383,
449}, {350, 480}, {52, 139}, {124, 195}, {115, 204}, {99, 220}, {83, 236}, {82,
237}, {85, 149}, {362, 426}, {356, 420}, {93, 157}, {339, 403}, {24, 217}, {347,
410}, {80, 145}, {79, 142}, {74, 139}, {360, 427}, {340, 400}, {375, 435}, {359,
419}, {351, 411}, {43, 238}, {372, 433}, {47, 234}, {337, 404}, {13, 203}, {361,
431}, {96, 166}, {14, 201}, {382, 441}, {363, 428}, {105, 174}, {83, 148}, {332,
388}, {353, 425}, {345, 401}, {380, 437}, {22, 220}, {354, 424}, {110, 164},
{102, 172}, {83, 153}, {58, 240}, {72, 131}, {97, 170}, {91, 144}, {320, 395},
{74, 134}, {376, 436}, {344, 404}, {346, 406}, {108, 161}, {35, 237}, {356,
426}, {71, 137}, {331, 389}, {84, 155}, {28, 204}, {60, 236}, {33, 240}, {371,
418}, {374, 420}, {50, 225}, {92, 143}, {358, 434}, {109, 184}, {345, 399}, {29,
202}, {368, 423}, {359, 432}, {54, 238}, {369, 425}, {350, 390}, {337, 393},
{50, 235}, {105, 176}, {65, 152}, {53, 236}, {83, 137}, {336, 394}, {73, 146},
{110, 181}, {104, 179}, {81, 138}, {343, 396}, {44, 240}, {72, 148}, {365, 432},
{347, 389}, {338, 397}, {104, 136}, {380, 412}, {376, 410}, {344, 443}, {379,
408}, {84, 176}, {82, 180}, {379, 413}, {94, 185}, {381, 405}, {65, 171}, {350,
436}, {342, 444}, {340, 447}, {348, 439}, {341, 446}, {3, 239}, {91, 183}, {78,
162}, {102, 139}, {383, 402}, {79, 161}, {368, 414}, {49, 222}, {64, 175}, {103,
151}, {113, 129}, {104, 153}, {103, 149}, {367, 412}, {382, 397}, {381, 398},
{4, 240}, {118, 128}, {101, 146}, {12, 244}, {300, 468}, {84, 173}, {121, 128},
{15, 245}, {95, 165}, {81, 171}, {18, 232}, {64, 187}, {297, 466}, {39, 219},
{37, 216}, {66, 191}, {355, 413}, {20, 235}, {125, 130}, {95, 160}, {92, 163},
{8, 266}, {9, 267}, {15, 268}, {13, 267}, {65, 326}, {75, 321}, {73, 324}, {127,
368}, {30, 270}, {28, 267}, {30, 265}, {19, 267}, {27, 263}, {47, 305}, {18,
269}, {49, 302}, {100, 325}, {97, 324}, {170, 385}, {70, 261}, {69, 264}, {86,
261}, {99, 312}, {123, 288}, {89, 262}, {100, 315}, {77, 301}, {115, 275}, {109,
269}, {230, 390}, {80, 306}, {124, 286}, {112, 274}, {108, 270}, {67, 288}, {38,
322}, {70, 290}, {127, 282}, {228, 385}, {119, 272}, {120, 287}, {228, 387},
{123, 275}, {32, 329}, {95, 310}, {35, 330}, {126, 276}, {117, 286}, {122, 273},
{40, 325}, {94, 307}, {94, 302}, {215, 423}, {212, 421}, {92, 303}, {114, 263},
{112, 262}, {78, 310}, {62, 327}, {250, 387}, {251, 386}, {116, 271}, {253,
390}, {252, 384}, {120, 261}, {249, 388}, {119, 265}, {79, 304}, {254, 383},
{203, 329}, {193, 330}, {204, 327}, {198, 330}, {200, 327}, {154, 266}, {151,
261}, {223, 333}, {167, 308}, {129, 277}, {210, 327}, {152, 270}, {166, 304},
{169, 305}, {170, 306}, {209, 328}, {148, 270}, {166, 316}, {196, 351}, {128,
284}, {154, 263}, {188, 289}, {222, 323}, {223, 321}, {147, 268}, {226, 381},
{195, 355}, {208, 368}, {213, 373}, {129, 291}, {192, 354}, {189, 287}, {167,
260}, {174, 269}, {128, 293}, {175, 266}, {214, 371}, {166, 256}, {191, 281},
{230, 320}, {254, 344}, {175, 264}, {191, 280}, {199, 352}, {200, 367}, {248,
337}, {172, 262}, {233, 323}, {255, 341}, {197, 366}, {255, 339}, {253, 336},
{131, 301}, {207, 353}, {249, 343}, {250, 340}, {190, 273}, {225, 334}, {235,
324}, {247, 344}, {229, 341}, {133, 308}, {135, 309}, {208, 355}, {214, 357},
{133, 305}, {143, 315}, {186, 271}, {188, 265}, {211, 356}, {179, 266}, {213,
364}, {141, 311}, {227, 345}, {243, 328}, {186, 262}, {178, 268}, {212, 362},
{244, 330}, {209, 366}, {143, 335}, {214, 273}, {215, 272}, {209, 280}, {246,
319}, {247, 318}, {142, 322}, {248, 308}, {143, 321}, {249, 310}, {228, 309},
{254, 303}, {159, 332}, {249, 301}, {194, 279}, {227, 310}, {251, 301}, {169,
382}, {206, 278}, {229, 317}, {246, 302}, {195, 282}, {145, 331}, {158, 324},
{224, 314}, {197, 281}, {159, 322}, {198, 283}, {226, 258}, {237, 268}, {227,
257}, {239, 269}, {194, 292}, {238, 264}, {239, 265}, {164, 323}, {196, 291},
{193, 294}, {165, 322}, {168, 320}, {216, 304}, {222, 311}, {207, 293}, {217,
306}, {200, 292}, {219, 309}, {160, 335}, {130, 370}, {167, 342}, {183, 325},
{181, 321}, {210, 295}, {218, 303}, {246, 259}, {168, 336}, {191, 326}, {248,
258}, {211, 296}, {251, 256}, {169, 343}, {170, 340}, {215, 297}, {252, 259}
}>;
(II) A more general form is to represent the graph as the orbit of {64, 66}
under the group generated by the following permutations:
a: (2, 5, 3, 4)(6, 11, 16, 26)(7, 14, 17, 29)(8, 15, 18, 30)(9, 13, 19, 28)(10,
12, 20, 27)(21, 56, 23, 60)(22, 59, 25, 57)(24, 58)(31, 71, 61, 36)(32, 75, 62,
40)(33, 74, 63, 39)(34, 72, 64, 37)(35, 73, 65, 38)(41, 101, 81, 51)(42, 104,
82, 54)(43, 105, 83, 55)(44, 103, 84, 53)(45, 102, 85, 52)(46, 115, 91, 190)(47,
112, 92, 187)(48, 111, 93, 186)(49, 113, 94, 188)(50, 114, 95, 189)(66, 216,
121, 131)(67, 220, 122, 135)(68, 219, 123, 134)(69, 217, 124, 132)(70, 218, 125,
133)(76, 116, 80, 117)(77, 119, 79, 118)(78, 120)(86, 137, 87, 140)(88, 138, 89,
136)(90, 139)(96, 275, 144, 199)(97, 272, 142, 198)(98, 271, 145, 196)(99, 273,
141, 197)(100, 274, 143, 200)(106, 151, 176, 236)(107, 155, 177, 240)(108, 154,
178, 239)(109, 152, 179, 237)(110, 153, 180, 238)(126, 304, 128, 301)(127, 303,
130, 305)(129, 302)(146, 171)(147, 174, 148, 175)(149, 173, 150, 172)(156, 195,
157, 192)(158, 191, 159, 193)(160, 194)(161, 245, 232, 265)(162, 242, 231,
261)(163, 241, 234, 262)(164, 243, 233, 264)(165, 244, 235, 263)(166, 284, 251,
211)(167, 283, 252, 215)(168, 281, 253, 214)(169, 282, 254, 212)(170, 285, 255,
213)(181, 204, 183, 203)(182, 201, 185, 202)(184, 205)(206, 306, 286, 221)(207,
310, 287, 225)(208, 309, 288, 224)(209, 307, 289, 222)(210, 308, 290, 223)(226,
353, 227, 352)(228, 354, 229, 355)(230, 351)(246, 277, 331, 291)(247, 280, 332,
294)(248, 278, 333, 295)(249, 276, 334, 293)(250, 279, 335, 292)(256, 296)(257,
300, 258, 299)(259, 297, 260, 298)(266, 268, 269, 270)(311, 366, 312, 369)(313,
370, 314, 368)(315, 367)(316, 412, 386, 356)(317, 413, 387, 359)(318, 415, 388,
360)(319, 414, 389, 358)(320, 411, 390, 357)(321, 327, 325, 329)(322, 330, 324,
326)(323, 328)(336, 371)(337, 374, 338, 375)(339, 373, 340, 372)(341, 364, 385,
424)(342, 363, 384, 423)(343, 361, 383, 421)(344, 362, 382, 422)(345, 365, 381,
425)(346, 376, 391, 416)(347, 379, 392, 419)(348, 380, 393, 420)(349, 378, 394,
418)(350, 377, 395, 417)(396, 431, 402, 468)(397, 435, 404, 467)(398, 434, 401,
469)(399, 432, 405, 470)(400, 433, 403, 466)(406, 410, 408, 407)(426, 441, 430,
443)(427, 445, 429, 442)(428, 444)(436, 476, 471, 451)(437, 480, 472, 455)(438,
479, 473, 454)(439, 477, 474, 452)(440, 478, 475, 453)(446, 462)(447, 463, 448,
465)(449, 464, 450, 461)(456, 457, 458, 460) (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, 84)(3, 44)(4, 53)(5, 103)(6, 11)(7, 154)(8, 89)(9, 28)(10, 173)(12,
149)(13, 19)(14, 108)(15, 138)(16, 26)(17, 239)(18, 88)(20, 172)(21, 31)(22,
244)(23, 61)(24, 58)(25, 263)(27, 150)(29, 178)(30, 136)(32, 234)(33, 39)(34,
183)(35, 73)(36, 56)(37, 203)(38, 65)(40, 262)(41, 51)(42, 266)(45, 102)(46,
66)(47, 329)(48, 116)(49, 113)(50, 189)(52, 85)(54, 268)(55, 105)(57, 235)(59,
165)(60, 71)(62, 163)(63, 74)(64, 181)(67, 324)(68, 79)(69, 217)(70, 133)(72,
204)(75, 241)(76, 111)(77, 123)(78, 120)(80, 186)(81, 101)(82, 269)(86, 106)(87,
176)(90, 139)(91, 121)(92, 327)(93, 117)(94, 188)(95, 114)(96, 126)(97, 288)(98,
196)(99, 193)(100, 274)(104, 270)(107, 155)(109, 237)(110, 175)(112, 325)(115,
131)(118, 134)(119, 219)(122, 322)(124, 132)(125, 218)(127, 308)(128, 144)(129,
302)(130, 223)(135, 326)(137, 236)(140, 151)(141, 191)(142, 208)(143, 200)(145,
271)(146, 171)(147, 238)(148, 153)(152, 179)(156, 206)(157, 286)(158, 197)(159,
273)(160, 194)(161, 201)(162, 242)(164, 264)(166, 211)(167, 368)(168, 281)(169,
278)(170, 354)(174, 180)(177, 240)(182, 245)(184, 205)(185, 265)(187, 321)(190,
216)(192, 306)(195, 221)(198, 224)(199, 304)(202, 232)(207, 310)(209, 222)(210,
303)(212, 333)(213, 229)(214, 253)(215, 313)(220, 330)(225, 287)(226, 276)(227,
293)(228, 285)(230, 351)(231, 261)(233, 243)(246, 291)(247, 366)(248, 282)(249,
353)(250, 279)(251, 284)(252, 370)(254, 295)(255, 355)(256, 296)(257, 421)(258,
361)(259, 358)(260, 414)(272, 309)(275, 301)(277, 331)(280, 311)(283, 314)(289,
307)(290, 305)(292, 335)(294, 312)(297, 389)(298, 319)(299, 343)(300, 383)(315,
367)(316, 356)(317, 373)(318, 365)(320, 411)(323, 328)(332, 369)(334, 352)(336,
371)(337, 422)(338, 362)(339, 413)(340, 359)(341, 364)(342, 423)(344, 375)(345,
415)(346, 376)(347, 466)(348, 426)(349, 418)(350, 464)(357, 390)(360, 381)(363,
384)(372, 387)(374, 382)(377, 449)(378, 394)(379, 403)(380, 443)(385, 424)(386,
412)(388, 425)(391, 416)(392, 433)(393, 430)(395, 461)(396, 431)(397, 467)(398,
427)(399, 463)(400, 419)(401, 429)(402, 468)(404, 435)(405, 465)(406, 436)(407,
476)(408, 471)(410, 451)(417, 450)(420, 441)(428, 444)(432, 447)(434, 442)(437,
472)(438, 454)(439, 458)(440, 478)(445, 469)(446, 462)(448, 470)(452, 460)(453,
475)(456, 474)(457, 477)(473, 479)
c: (1, 2)(3, 4)(6, 10)(7, 9)(11, 154)(12, 155)(13, 152)(14, 153)(15, 151)(16,
107)(17, 109)(18, 106)(19, 110)(20, 108)(21, 75)(22, 73)(23, 74)(24, 71)(25,
72)(26, 87)(27, 86)(28, 89)(29, 88)(30, 90)(31, 263)(32, 261)(33, 265)(34,
262)(35, 264)(36, 165)(37, 164)(38, 163)(39, 162)(40, 161)(41, 266)(42, 267)(43,
268)(44, 269)(45, 270)(46, 321)(47, 323)(48, 322)(49, 325)(50, 324)(51, 85)(52,
84)(53, 83)(54, 82)(55, 81)(56, 245)(57, 243)(58, 244)(59, 241)(60, 242)(62,
63)(64, 65)(66, 326)(67, 328)(68, 327)(69, 330)(70, 329)(77, 78)(79, 80)(91,
134)(92, 135)(93, 132)(94, 133)(95, 131)(96, 223)(97, 225)(98, 221)(99,
224)(100, 222)(101, 103)(102, 105)(111, 114)(113, 115)(116, 118)(117, 120)(121,
186)(122, 187)(123, 188)(124, 189)(125, 190)(126, 272)(127, 274)(128, 271)(129,
275)(130, 273)(136, 179)(137, 177)(138, 180)(139, 176)(140, 178)(141, 143)(142,
145)(146, 149)(148, 150)(156, 159)(158, 160)(166, 333)(167, 331)(168, 335)(169,
332)(170, 334)(171, 175)(172, 174)(182, 183)(184, 185)(192, 193)(194, 195)(196,
207)(197, 209)(198, 206)(199, 210)(200, 208)(201, 204)(203, 205)(211, 215)(212,
214)(216, 217)(218, 219)(226, 252)(227, 251)(228, 254)(229, 253)(230, 255)(231,
232)(233, 234)(237, 238)(239, 240)(246, 248)(247, 250)(256, 257)(258, 259)(276,
285)(277, 284)(278, 283)(279, 282)(280, 281)(286, 287)(288, 289)(291, 353)(292,
355)(293, 351)(294, 354)(295, 352)(296, 297)(298, 299)(301, 310)(302, 308)(303,
309)(304, 306)(305, 307)(311, 315)(312, 314)(316, 338)(317, 336)(318, 340)(319,
337)(320, 339)(341, 390)(342, 389)(343, 388)(344, 387)(345, 386)(346, 350)(347,
349)(356, 423)(357, 421)(358, 425)(359, 422)(360, 424)(361, 372)(362, 371)(363,
374)(364, 373)(365, 375)(367, 368)(369, 370)(376, 466)(377, 468)(378, 467)(379,
470)(380, 469)(381, 384)(383, 385)(391, 402)(392, 404)(393, 401)(394, 405)(395,
403)(396, 442)(397, 441)(398, 444)(399, 443)(400, 445)(406, 480)(407, 478)(408,
479)(409, 476)(410, 477)(411, 415)(412, 414)(416, 427)(417, 429)(418, 426)(419,
430)(420, 428)(431, 433)(432, 435)(436, 451)(437, 453)(438, 452)(439, 455)(440,
454)(446, 449)(448, 450)(457, 458)(459, 460)(461, 463)(462, 465)(472, 473)(474,
475)
d: (1, 6)(2, 10)(3, 9)(4, 7)(5, 8)(11, 36)(12, 40)(13, 39)(14, 37)(15, 38)(16,
51)(17, 54)(18, 55)(19, 53)(20, 52)(21, 26)(22, 29)(23, 30)(24, 28)(25, 27)(31,
131)(32, 135)(33, 134)(34, 132)(35, 133)(41, 140)(42, 137)(43, 136)(44, 138)(45,
139)(46, 60)(47, 57)(48, 56)(49, 58)(50, 59)(61, 76)(62, 80)(63, 79)(64, 77)(65,
78)(66, 301)(67, 305)(68, 304)(69, 302)(70, 303)(71, 89)(72, 86)(73, 88)(74,
90)(75, 87)(81, 106)(82, 109)(83, 110)(84, 108)(85, 107)(91, 265)(92, 261)(93,
262)(94, 264)(95, 263)(96, 190)(97, 187)(98, 186)(99, 188)(100, 189)(101,
146)(102, 150)(103, 149)(104, 147)(105, 148)(111, 158)(112, 157)(113, 159)(114,
160)(115, 156)(116, 145)(117, 141)(118, 142)(119, 144)(120, 143)(121, 221)(122,
225)(123, 224)(124, 222)(125, 223)(126, 251)(127, 254)(128, 255)(129, 253)(130,
252)(151, 163)(152, 162)(153, 164)(154, 165)(155, 161)(166, 199)(167, 198)(168,
196)(169, 197)(170, 200)(171, 231)(172, 234)(173, 235)(174, 233)(175, 232)(176,
270)(177, 267)(178, 266)(179, 268)(180, 269)(181, 236)(182, 240)(183, 239)(184,
237)(185, 238)(191, 249)(192, 246)(193, 248)(194, 250)(195, 247)(201, 216)(202,
220)(203, 219)(204, 217)(205, 218)(206, 331)(207, 335)(208, 334)(209, 332)(210,
333)(211, 256)(212, 259)(213, 260)(214, 258)(215, 257)(226, 273)(227, 272)(228,
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386)(277, 390)(278, 389)(279, 387)(280, 388)(281, 343)(282, 344)(283, 342)(284,
341)(285, 345)(286, 311)(287, 315)(288, 314)(289, 312)(290, 313)(291, 336)(292,
340)(293, 339)(294, 337)(295, 338)(296, 346)(297, 350)(298, 349)(299, 347)(300,
348)(306, 327)(307, 328)(308, 330)(309, 329)(310, 326)(316, 352)(317, 353)(318,
355)(319, 354)(320, 351)(356, 391)(357, 395)(358, 394)(359, 392)(360, 393)(361,
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447)(414, 449)(415, 448)(426, 476)(427, 480)(428, 479)(429, 477)(430, 478)(431,
457)(432, 460)(433, 458)(434, 456)(435, 459)(436, 466)(437, 469)(438, 470)(439,
468)(440, 467)(461, 472)(462, 475)(463, 473)(464, 471)(465, 474)
C4[ 480, 270 ]
480
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0