Graph forms
for C4 [ 480, 542 ] = SS[480,24]
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On this page are computer-accessible forms for the graph C4[ 480, 542 ] =
SS[480,24].
(I) Following is a form readable by MAGMA:
g:=Graph<480|{ {32, 33}, {468, 469}, {436, 437}, {374, 375}, {302, 303}, {1, 3},
{109, 111}, {93, 95}, {32, 34}, {1, 2}, {68, 71}, {36, 39}, {32, 35}, {1, 5},
{66, 70}, {65, 69}, {57, 61}, {32, 36}, {1, 4}, {467, 470}, {466, 471}, {130,
135}, {58, 63}, {8, 14}, {435, 437}, {48, 54}, {9, 15}, {33, 38}, {57, 62}, {34,
37}, {6, 14}, {372, 380}, {371, 379}, {33, 41}, {7, 15}, {34, 43}, {467, 474},
{466, 475}, {465, 472}, {372, 381}, {134, 143}, {131, 138}, {129, 136}, {64,
73}, {36, 45}, {36, 46}, {33, 42}, {464, 475}, {432, 443}, {134, 141}, {133,
142}, {128, 139}, {67, 72}, {35, 40}, {35, 47}, {65, 77}, {66, 79}, {468, 473},
{465, 476}, {433, 444}, {373, 376}, {371, 382}, {132, 137}, {34, 44}, {434,
444}, {65, 78}, {374, 377}, {373, 378}, {368, 383}, {96, 111}, {67, 83}, {424,
440}, {102, 118}, {96, 112}, {37, 52}, {457, 472}, {366, 383}, {299, 314}, {131,
146}, {101, 116}, {41, 56}, {66, 80}, {427, 441}, {297, 315}, {11, 24}, {463,
476}, {356, 375}, {300, 319}, {106, 121}, {105, 122}, {104, 123}, {102, 117},
{76, 95}, {43, 56}, {35, 48}, {6, 18}, {431, 443}, {418, 438}, {417, 437}, {294,
306}, {293, 305}, {130, 150}, {129, 149}, {128, 148}, {13, 25}, {7, 19}, {38,
51}, {428, 441}, {300, 313}, {296, 317}, {133, 144}, {132, 145}, {98, 119}, {68,
81}, {64, 85}, {39, 50}, {64, 86}, {298, 316}, {101, 115}, {68, 82}, {67, 84},
{462, 473}, {461, 474}, {450, 469}, {449, 470}, {416, 439}, {292, 307}, {291,
308}, {290, 309}, {289, 310}, {288, 311}, {106, 125}, {105, 126}, {45, 53},
{417, 441}, {358, 382}, {357, 381}, {108, 116}, {107, 115}, {46, 54}, {40, 49},
{460, 469}, {430, 439}, {420, 445}, {295, 318}, {108, 117}, {100, 125}, {99,
122}, {11, 17}, {429, 439}, {420, 446}, {418, 440}, {416, 442}, {100, 126}, {99,
121}, {98, 120}, {97, 123}, {47, 53}, {10, 17}, {355, 376}, {354, 377}, {353,
378}, {103, 124}, {44, 55}, {12, 23}, {196, 223}, {8, 20}, {426, 438}, {422,
442}, {419, 447}, {352, 380}, {12, 16}, {10, 22}, {9, 21}, {13, 16}, {459, 470},
{458, 471}, {301, 304}, {107, 118}, {97, 124}, {42, 55}, {110, 112}, {448, 478},
{103, 120}, {456, 471}, {455, 472}, {454, 473}, {453, 474}, {452, 475}, {451,
476}, {425, 438}, {423, 440}, {421, 442}, {110, 113}, {109, 114}, {104, 119},
{413, 445}, {69, 100}, {192, 225}, {194, 227}, {270, 303}, {286, 319}, {210,
240}, {195, 224}, {415, 444}, {414, 445}, {412, 447}, {197, 230}, {198, 229},
{71, 99}, {415, 443}, {411, 447}, {410, 446}, {351, 379}, {193, 228}, {208,
245}, {70, 97}, {409, 446}, {79, 104}, {78, 105}, {77, 106}, {213, 242}, {214,
241}, {287, 312}, {336, 377}, {72, 98}, {337, 379}, {336, 378}, {212, 254}, {75,
96}, {340, 383}, {338, 382}, {95, 114}, {337, 380}, {210, 255}, {95, 113}, {211,
253}, {73, 102}, {338, 381}, {74, 101}, {92, 109}, {84, 103}, {88, 107}, {200,
251}, {201, 250}, {202, 249}, {203, 248}, {257, 306}, {258, 305}, {261, 310},
{262, 309}, {267, 312}, {91, 110}, {264, 317}, {80, 103}, {335, 376}, {90, 109},
{89, 110}, {193, 246}, {194, 245}, {93, 101}, {335, 375}, {85, 108}, {205, 244},
{207, 246}, {259, 314}, {263, 318}, {266, 307}, {94, 100}, {196, 254}, {81,
106}, {93, 102}, {87, 108}, {83, 104}, {82, 105}, {192, 251}, {199, 252}, {204,
247}, {256, 315}, {268, 311}, {94, 98}, {197, 249}, {198, 250}, {86, 107}, {94,
99}, {93, 96}, {206, 243}, {260, 313}, {265, 308}, {269, 304}, {195, 253}, {209,
239}, {94, 97}, {158, 223}, {392, 457}, {389, 452}, {388, 453}, {384, 449},
{271, 334}, {187, 248}, {407, 468}, {191, 252}, {396, 456}, {386, 455}, {390,
451}, {387, 454}, {406, 464}, {56, 127}, {168, 239}, {183, 240}, {189, 244},
{399, 454}, {394, 451}, {385, 456}, {180, 255}, {410, 465}, {409, 466}, {408,
467}, {185, 242}, {186, 241}, {188, 247}, {51, 127}, {398, 450}, {397, 449},
{395, 455}, {190, 243}, {393, 452}, {391, 458}, {272, 351}, {414, 465}, {413,
466}, {412, 467}, {411, 468}, {167, 247}, {183, 231}, {184, 232}, {274, 323},
{275, 322}, {282, 331}, {287, 334}, {174, 252}, {187, 233}, {190, 236}, {173,
249}, {171, 254}, {400, 453}, {174, 251}, {273, 324}, {276, 321}, {281, 332},
{171, 253}, {188, 234}, {189, 235}, {173, 250}, {407, 448}, {184, 239}, {185,
238}, {186, 237}, {168, 240}, {408, 448}, {169, 241}, {170, 243}, {441, 480},
{402, 459}, {172, 245}, {284, 325}, {172, 246}, {442, 480}, {405, 463}, {404,
462}, {164, 255}, {169, 242}, {191, 226}, {445, 480}, {401, 460}, {272, 333},
{283, 326}, {285, 320}, {170, 244}, {403, 461}, {167, 248}, {277, 330}, {278,
329}, {279, 328}, {280, 327}, {61, 92}, {446, 479}, {444, 477}, {431, 462},
{430, 463}, {425, 456}, {301, 332}, {447, 477}, {297, 330}, {419, 448}, {298,
329}, {62, 90}, {443, 479}, {302, 331}, {423, 450}, {61, 91}, {62, 89}, {440,
479}, {294, 321}, {293, 322}, {292, 323}, {291, 324}, {290, 325}, {289, 326},
{63, 88}, {63, 87}, {438, 478}, {437, 477}, {421, 460}, {439, 478}, {428, 453},
{424, 449}, {299, 320}, {288, 333}, {427, 454}, {426, 455}, {422, 459}, {271,
352}, {296, 327}, {295, 328}, {154, 234}, {279, 359}, {280, 360}, {61, 76},
{153, 232}, {274, 355}, {285, 364}, {275, 353}, {154, 233}, {62, 75}, {152,
237}, {63, 74}, {273, 356}, {286, 363}, {152, 238}, {276, 354}, {281, 366},
{436, 451}, {435, 452}, {282, 365}, {59, 67}, {157, 229}, {155, 227}, {60, 68},
{59, 66}, {284, 357}, {58, 64}, {151, 236}, {434, 457}, {433, 458}, {157, 230},
{151, 235}, {60, 65}, {432, 461}, {429, 464}, {156, 225}, {283, 358}, {153,
231}, {158, 224}, {156, 226}, {155, 228}, {277, 362}, {278, 361}, {30, 158},
{87, 214}, {30, 156}, {82, 208}, {30, 157}, {18, 151}, {31, 154}, {30, 155},
{25, 156}, {24, 158}, {31, 153}, {31, 152}, {84, 211}, {83, 212}, {79, 200},
{78, 201}, {77, 202}, {31, 151}, {38, 175}, {19, 152}, {90, 209}, {89, 210},
{22, 157}, {23, 155}, {20, 153}, {88, 213}, {21, 154}, {85, 197}, {86, 198},
{39, 182}, {39, 181}, {72, 219}, {87, 196}, {37, 177}, {76, 216}, {38, 176},
{37, 178}, {92, 203}, {91, 204}, {80, 199}, {74, 221}, {73, 222}, {85, 205},
{86, 206}, {40, 179}, {90, 193}, {89, 194}, {88, 195}, {71, 220}, {40, 180},
{92, 192}, {75, 215}, {70, 218}, {69, 217}, {81, 207}, {313, 408}, {316, 413},
{318, 412}, {307, 407}, {312, 413}, {315, 414}, {317, 411}, {375, 464}, {304,
409}, {311, 414}, {309, 412}, {305, 410}, {306, 409}, {308, 408}, {310, 411},
{314, 407}, {319, 400}, {49, 129}, {27, 170}, {55, 134}, {52, 133}, {50, 131},
{29, 172}, {28, 173}, {26, 168}, {54, 132}, {52, 134}, {28, 174}, {26, 169},
{51, 128}, {49, 130}, {24, 172}, {378, 462}, {377, 461}, {54, 130}, {53, 129},
{25, 173}, {18, 167}, {303, 410}, {29, 171}, {53, 131}, {50, 132}, {55, 128},
{382, 457}, {381, 458}, {380, 459}, {379, 460}, {376, 463}, {22, 174}, {19,
168}, {23, 171}, {27, 167}, {20, 169}, {383, 450}, {56, 133}, {21, 170}, {330,
395}, {331, 394}, {343, 404}, {343, 403}, {328, 397}, {333, 392}, {332, 393},
{329, 396}, {17, 217}, {327, 398}, {344, 401}, {334, 391}, {16, 218}, {344,
402}, {17, 219}, {16, 220}, {348, 400}, {345, 405}, {320, 399}, {345, 406}, {14,
222}, {349, 397}, {341, 388}, {351, 398}, {347, 394}, {15, 221}, {350, 396},
{347, 393}, {346, 392}, {348, 399}, {349, 398}, {340, 384}, {342, 386}, {339,
390}, {350, 395}, {339, 389}, {341, 387}, {15, 216}, {342, 385}, {326, 401},
{325, 402}, {324, 403}, {323, 404}, {322, 405}, {321, 406}, {14, 215}, {346,
391}, {47, 206}, {359, 390}, {115, 146}, {46, 204}, {113, 147}, {44, 207}, {363,
392}, {91, 191}, {45, 200}, {117, 144}, {116, 145}, {82, 183}, {45, 203}, {114,
148}, {112, 150}, {47, 201}, {46, 199}, {367, 390}, {363, 386}, {357, 396},
{355, 394}, {83, 186}, {81, 184}, {361, 387}, {364, 391}, {80, 188}, {127, 147},
{84, 185}, {365, 384}, {364, 385}, {360, 389}, {358, 395}, {356, 393}, {352,
397}, {353, 399}, {362, 388}, {367, 384}, {77, 189}, {122, 138}, {121, 137},
{78, 190}, {124, 141}, {370, 387}, {126, 140}, {359, 405}, {354, 400}, {127,
140}, {370, 385}, {369, 386}, {79, 187}, {123, 142}, {369, 388}, {368, 389},
{125, 139}, {42, 211}, {362, 403}, {118, 143}, {43, 210}, {48, 202}, {111, 149},
{43, 208}, {41, 212}, {361, 404}, {48, 205}, {44, 209}, {360, 406}, {41, 214},
{366, 401}, {365, 402}, {120, 135}, {119, 136}, {42, 213}, {111, 366}, {161,
422}, {162, 421}, {160, 424}, {162, 427}, {164, 429}, {163, 426}, {161, 428},
{164, 425}, {163, 430}, {175, 418}, {160, 432}, {177, 417}, {118, 359}, {165,
436}, {179, 418}, {74, 344}, {178, 416}, {73, 346}, {72, 348}, {180, 416}, {181,
417}, {76, 345}, {166, 435}, {165, 434}, {166, 433}, {70, 350}, {120, 352}, {6,
287}, {114, 363}, {71, 349}, {115, 361}, {121, 354}, {126, 357}, {125, 358},
{122, 353}, {75, 343}, {112, 365}, {117, 360}, {113, 364}, {69, 347}, {116,
362}, {123, 356}, {124, 355}, {11, 299}, {135, 422}, {141, 430}, {144, 435},
{142, 429}, {10, 302}, {13, 297}, {12, 296}, {7, 290}, {138, 431}, {6, 288}, {7,
289}, {10, 301}, {13, 298}, {11, 300}, {119, 351}, {182, 415}, {8, 291}, {12,
295}, {8, 292}, {9, 293}, {136, 421}, {9, 294}, {176, 415}, {159, 431}, {149,
423}, {159, 423}, {137, 432}, {146, 427}, {139, 434}, {147, 425}, {143, 436},
{140, 433}, {145, 428}, {148, 426}, {150, 424}, {22, 342}, {29, 349}, {27, 346},
{29, 348}, {23, 341}, {28, 350}, {27, 345}, {26, 344}, {19, 336}, {20, 337},
{21, 338}, {28, 347}, {25, 339}, {24, 340}, {26, 343}, {18, 335}, {58, 338},
{60, 340}, {57, 336}, {58, 337}, {59, 342}, {59, 341}, {60, 339}, {57, 335},
{144, 273}, {146, 275}, {145, 276}, {149, 272}, {226, 367}, {147, 284}, {148,
283}, {224, 367}, {51, 419}, {136, 281}, {140, 285}, {184, 297}, {189, 300},
{225, 368}, {227, 370}, {187, 296}, {231, 372}, {49, 420}, {159, 266}, {139,
286}, {190, 299}, {228, 369}, {50, 420}, {142, 280}, {52, 419}, {159, 264},
{185, 302}, {186, 301}, {229, 370}, {230, 369}, {150, 271}, {236, 373}, {141,
279}, {233, 371}, {188, 295}, {232, 371}, {237, 374}, {238, 373}, {137, 277},
{138, 278}, {135, 282}, {143, 274}, {183, 298}, {191, 290}, {235, 374}, {234,
372}, {162, 259}, {163, 258}, {163, 256}, {161, 260}, {164, 257}, {175, 266},
{175, 265}, {160, 263}, {162, 261}, {161, 262}, {160, 265}, {165, 268}, {239,
326}, {165, 270}, {166, 269}, {166, 267}, {223, 368}, {178, 259}, {179, 258},
{242, 323}, {243, 322}, {179, 257}, {249, 330}, {250, 329}, {177, 261}, {180,
256}, {240, 325}, {241, 324}, {244, 321}, {245, 320}, {248, 333}, {253, 328},
{178, 260}, {176, 263}, {177, 262}, {251, 332}, {252, 331}, {176, 264}, {182,
270}, {181, 268}, {247, 334}, {254, 327}, {182, 269}, {181, 267}, {217, 281},
{199, 262}, {221, 284}, {201, 266}, {202, 265}, {203, 264}, {207, 268}, {217,
282}, {255, 316}, {220, 280}, {215, 274}, {219, 286}, {215, 273}, {219, 285},
{221, 283}, {205, 260}, {246, 319}, {204, 263}, {216, 275}, {220, 279}, {216,
276}, {218, 278}, {200, 261}, {206, 259}, {222, 272}, {218, 277}, {224, 303},
{209, 256}, {211, 258}, {222, 271}, {5, 471}, {3, 470}, {212, 257}, {3, 469},
{2, 474}, {4, 476}, {5, 479}, {2, 473}, {208, 267}, {213, 270}, {214, 269},
{225, 317}, {226, 318}, {3, 478}, {5, 472}, {194, 287}, {2, 477}, {4, 475},
{227, 316}, {228, 315}, {229, 314}, {230, 313}, {231, 312}, {232, 311}, {233,
310}, {234, 309}, {235, 308}, {236, 307}, {237, 306}, {238, 305}, {192, 289},
{193, 288}, {196, 294}, {198, 292}, {4, 480}, {195, 293}, {197, 291}, {223, 304}
}>;
(II) A more general form is to represent the graph as the orbit of {32, 33}
under the group generated by the following permutations:
a: (1, 14, 17)(2, 6, 10)(3, 222, 217)(4, 8, 219)(5, 215, 11)(7, 12, 36)(9, 218,
34)(13, 33, 216)(15, 16, 32)(18, 22, 477)(19, 23, 39)(20, 72, 480)(21, 70,
37)(24, 479, 75)(25, 38, 76)(26, 29, 420)(27, 28, 419)(30, 415, 57)(31, 59,
417)(35, 221, 220)(40, 74, 71)(41, 276, 297, 42, 275, 298)(43, 294, 277, 44,
293, 278)(45, 290, 296, 46, 289, 295)(47, 284, 280, 48, 283, 279)(49, 344,
349)(50, 168, 171)(51, 345, 173)(52, 170, 350)(53, 325, 327, 54, 326, 328)(55,
322, 329, 56, 321, 330)(58, 94, 416)(60, 418, 93)(61, 156, 176)(62, 158,
443)(63, 99, 180)(64, 100, 439)(65, 438, 102)(66, 177, 154)(67, 441, 153)(68,
179, 101)(69, 478, 73)(77, 426, 118, 78, 425, 117)(79, 262, 233, 80, 261,
234)(81, 258, 115, 82, 257, 116)(83, 428, 232, 84, 427, 231)(85, 125, 430, 86,
126, 429)(87, 121, 256, 88, 122, 255)(89, 223, 432, 90, 224, 431)(91, 225, 263,
92, 226, 264)(95, 339, 175)(96, 340, 440)(97, 178, 338)(98, 442, 337)(103, 162,
372, 104, 161, 371)(105, 164, 108, 106, 163, 107)(109, 367, 159, 110, 368,
160)(111, 384, 423, 112, 383, 424)(113, 389, 265, 114, 390, 266)(119, 422, 379,
120, 421, 380)(123, 260, 382, 124, 259, 381)(127, 406, 249, 128, 405, 250)(129,
402, 398, 130, 401, 397)(131, 240, 254, 132, 239, 253)(133, 244, 395, 134, 243,
396)(135, 460, 352, 136, 459, 351)(137, 209, 195, 138, 210, 196)(139, 463, 198,
140, 464, 197)(141, 206, 357, 142, 205, 358)(143, 190, 456, 144, 189, 455)(145,
184, 211, 146, 183, 212)(147, 360, 202, 148, 359, 201)(149, 365, 450, 150, 366,
449)(151, 342, 437)(152, 341, 181)(155, 182, 336)(157, 444, 335)(165, 373, 370,
166, 374, 369)(167, 174, 447)(169, 348, 445)(172, 446, 343)(185, 454, 312, 186,
453, 311)(187, 199, 310, 188, 200, 309)(191, 317, 204, 192, 318, 203)(193, 303,
462, 194, 304, 461)(207, 305, 361, 208, 306, 362)(213, 353, 316, 214, 354,
315)(227, 269, 377, 228, 270, 378)(229, 433, 375, 230, 434, 376)(235, 386, 436,
236, 385, 435)(237, 388, 268, 238, 387, 267)(241, 400, 414, 242, 399, 413)(245,
409, 403, 246, 410, 404)(247, 251, 412, 248, 252, 411)(271, 281, 470, 272, 282,
469)(273, 300, 472, 274, 299, 471)(285, 475, 291, 286, 476, 292)(287, 301, 474,
288, 302, 473)(307, 364, 452, 308, 363, 451)(313, 457, 355, 314, 458, 356)(319,
465, 323, 320, 466, 324)(331, 468, 334, 332, 467, 333)(346, 347, 448)(391, 393,
408, 392, 394, 407) (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: (41, 42)(43, 44)(45, 46)(47, 48)(53, 54)(55, 56)(77, 78)(79, 80)(81, 82)(83,
84)(85, 86)(87, 88)(89, 90)(91, 92)(103, 104)(105, 106)(107, 108)(109, 110)(111,
112)(113, 114)(115, 116)(117, 118)(119, 120)(121, 122)(123, 124)(125, 126)(127,
128)(129, 130)(131, 132)(133, 134)(135, 136)(137, 138)(139, 140)(141, 142)(143,
144)(145, 146)(147, 148)(149, 150)(159, 160)(161, 162)(163, 164)(165, 166)(183,
184)(185, 186)(187, 188)(189, 190)(191, 192)(193, 194)(195, 196)(197, 198)(199,
200)(201, 202)(203, 204)(205, 206)(207, 208)(209, 210)(211, 212)(213, 214)(223,
224)(225, 226)(227, 228)(229, 230)(231, 232)(233, 234)(235, 236)(237, 238)(239,
240)(241, 242)(243, 244)(245, 246)(247, 248)(249, 250)(251, 252)(253, 254)(255,
256)(257, 258)(259, 260)(261, 262)(263, 264)(265, 266)(267, 268)(269, 270)(271,
272)(273, 274)(275, 276)(277, 278)(279, 280)(281, 282)(283, 284)(285, 286)(287,
288)(289, 290)(291, 292)(293, 294)(295, 296)(297, 298)(299, 300)(301, 302)(303,
304)(305, 306)(307, 308)(309, 310)(311, 312)(313, 314)(315, 316)(317, 318)(319,
320)(321, 322)(323, 324)(325, 326)(327, 328)(329, 330)(331, 332)(333, 334)(351,
352)(353, 354)(355, 356)(357, 358)(359, 360)(361, 362)(363, 364)(365, 366)(367,
368)(369, 370)(371, 372)(373, 374)(375, 376)(377, 378)(379, 380)(381, 382)(383,
384)(385, 386)(387, 388)(389, 390)(391, 392)(393, 394)(395, 396)(397, 398)(399,
400)(401, 402)(403, 404)(405, 406)(407, 408)(409, 410)(411, 412)(413, 414)(421,
422)(423, 424)(425, 426)(427, 428)(429, 430)(431, 432)(433, 434)(435, 436)(449,
450)(451, 452)(453, 454)(455, 456)(457, 458)(459, 460)(461, 462)(463, 464)(465,
466)(467, 468)(469, 470)(471, 472)(473, 474)(475, 476)
c: (1, 41, 480, 42)(2, 214, 441, 213)(3, 212, 442, 211)(4, 33)(5, 56, 445,
55)(6, 106, 346, 105)(7, 157)(8, 354, 64, 353)(9, 314, 152, 313)(10, 309, 158,
310)(11, 154)(12, 366, 66, 365)(13, 109, 350, 110)(14, 121, 73, 122)(15, 229,
19, 230)(16, 111, 70, 112)(17, 234, 24, 233)(18, 77, 27, 78)(20, 400, 58,
399)(21, 299, 31, 300)(22, 290, 30, 289)(23, 401, 59, 402)(25, 92, 28, 91)(26,
388, 74, 387)(29, 379, 72, 380)(32, 476, 38, 475)(34, 465, 51, 466)(35, 463,
175, 464)(36, 451, 176, 452)(37, 410, 419, 409)(39, 436, 415, 435)(40, 430, 418,
429)(43, 414, 128, 471)(44, 472, 127, 413)(45, 394, 263, 389)(46, 390, 264,
393)(47, 376, 265, 406)(48, 405, 266, 375)(49, 141, 440, 142)(50, 143, 443,
144)(52, 446)(53, 355, 160, 360)(54, 359, 159, 356)(57, 249, 76, 250)(60, 248,
69, 247)(61, 173)(62, 330, 95, 329)(63, 454, 169, 453)(65, 167)(67, 459, 171,
460)(68, 333, 100, 334)(71, 272, 94, 271)(75, 277, 93, 278)(79, 282, 295,
383)(80, 384, 296, 281)(81, 392, 126, 287)(82, 288, 125, 391)(83, 422, 253,
469)(84, 470, 254, 421)(85, 275, 292, 377)(86, 378, 291, 276)(87, 427, 242,
474)(88, 473, 241, 428)(89, 297, 114, 396)(90, 395, 113, 298)(96, 218)(97, 150,
220, 149)(98, 352, 349, 351)(99, 222)(101, 361, 343, 362)(102, 138, 215,
137)(103, 449, 327, 136)(104, 135, 328, 450)(107, 462, 324, 145)(108, 146, 323,
461)(115, 404, 403, 116)(117, 131, 274, 432)(118, 431, 273, 132)(119, 120, 397,
398)(123, 130, 279, 423)(124, 424, 280, 129)(133, 420, 134, 479)(139, 458, 208,
311)(140, 312, 207, 457)(147, 316, 209, 455)(148, 456, 210, 315)(151, 189, 170,
190)(153, 319, 338, 320)(155, 326, 342, 325)(156, 192, 174, 191)(161, 195, 468,
186)(162, 185, 467, 196)(163, 438, 164, 180)(165, 444, 166, 181)(168, 369, 221,
370)(172, 371, 219, 372)(177, 303, 447, 304)(178, 305, 448, 306)(179, 439)(182,
437)(183, 193, 358, 364)(184, 363, 357, 194)(187, 217, 188, 340)(197, 216, 198,
336)(199, 367, 317, 332)(200, 331, 318, 368)(201, 335, 202, 345)(203, 347, 204,
339)(205, 322, 307, 374)(206, 373, 308, 321)(223, 261, 302, 412)(224, 411, 301,
262)(225, 251, 252, 226)(227, 239, 386, 284)(228, 283, 385, 240)(231, 246, 382,
285)(232, 286, 381, 245)(235, 244, 243, 236)(237, 260, 293, 407)(238, 408, 294,
259)(255, 256, 426, 425)(257, 416, 258, 478)(267, 268, 434, 433)(269, 417, 270,
477)(337, 348)(341, 344)
d: (2, 4)(3, 5)(6, 7)(8, 9)(10, 11)(12, 13)(14, 15)(18, 19)(20, 21)(22, 24)(23,
25)(26, 27)(28, 29)(33, 35)(34, 36)(37, 39)(38, 40)(41, 48)(42, 47)(43, 46)(44,
45)(49, 51)(50, 52)(53, 55)(54, 56)(59, 60)(61, 62)(63, 64)(65, 67)(66, 68)(69,
72)(70, 71)(73, 74)(75, 76)(77, 83)(78, 84)(79, 81)(80, 82)(85, 87)(86, 88)(89,
91)(90, 92)(95, 96)(97, 99)(98, 100)(101, 102)(103, 105)(104, 106)(111,
114)(112, 113)(115, 118)(116, 117)(119, 125)(120, 126)(121, 123)(122, 124)(127,
130)(128, 129)(131, 134)(132, 133)(135, 140)(136, 139)(137, 142)(138, 141)(143,
146)(144, 145)(147, 150)(148, 149)(151, 152)(153, 154)(155, 156)(157, 158)(159,
163)(160, 164)(161, 166)(162, 165)(167, 168)(169, 170)(171, 173)(172, 174)(175,
179)(176, 180)(177, 181)(178, 182)(183, 188)(184, 187)(185, 190)(186, 189)(191,
194)(192, 193)(195, 198)(196, 197)(199, 208)(200, 207)(201, 211)(202, 212)(203,
209)(204, 210)(205, 214)(206, 213)(215, 216)(217, 219)(218, 220)(221, 222)(223,
230)(224, 229)(225, 228)(226, 227)(231, 234)(232, 233)(235, 237)(236, 238)(239,
248)(240, 247)(241, 244)(242, 243)(245, 252)(246, 251)(249, 254)(250, 253)(255,
263)(256, 264)(257, 265)(258, 266)(259, 270)(260, 269)(261, 268)(262, 267)(271,
284)(272, 283)(273, 276)(274, 275)(277, 280)(278, 279)(281, 286)(282, 285)(287,
290)(288, 289)(291, 294)(292, 293)(295, 298)(296, 297)(299, 302)(300, 301)(303,
314)(304, 313)(305, 307)(306, 308)(309, 312)(310, 311)(315, 317)(316, 318)(319,
332)(320, 331)(321, 324)(322, 323)(325, 334)(326, 333)(327, 330)(328, 329)(335,
336)(337, 338)(339, 341)(340, 342)(343, 345)(344, 346)(347, 348)(349, 350)(351,
358)(352, 357)(353, 355)(354, 356)(359, 361)(360, 362)(363, 366)(364, 365)(367,
370)(368, 369)(375, 377)(376, 378)(379, 382)(380, 381)(383, 386)(384, 385)(387,
390)(388, 389)(391, 402)(392, 401)(393, 400)(394, 399)(395, 398)(396, 397)(403,
406)(404, 405)(407, 410)(408, 409)(411, 414)(412, 413)(415, 416)(419, 420)(421,
434)(422, 433)(423, 426)(424, 425)(427, 436)(428, 435)(429, 432)(430, 431)(437,
441)(438, 440)(439, 443)(442, 444)(445, 447)(446, 448)(449, 456)(450, 455)(451,
454)(452, 453)(457, 460)(458, 459)(461, 464)(462, 463)(465, 468)(466, 467)(469,
472)(470, 471)(473, 476)(474, 475)(477, 480)(478, 479)
e: (1, 18)(2, 6)(3, 167)(4, 335)(5, 151)(7, 49)(8, 444)(9, 179)(11, 342)(12,
349)(13, 99)(14, 477)(15, 40)(16, 71)(17, 22)(19, 420)(20, 415)(21, 418)(23,
29)(24, 59)(25, 94)(26, 39)(27, 478)(28, 69)(30, 72)(31, 479)(32, 74)(33,
63)(34, 101)(35, 221)(36, 344)(37, 93)(38, 58)(41, 88)(42, 87)(43, 115)(44,
116)(45, 402)(46, 401)(47, 284)(48, 283)(50, 168)(51, 64)(52, 102)(53, 325)(54,
326)(55, 108)(56, 107)(57, 480)(60, 70)(61, 442)(62, 441)(65, 350)(66, 340)(67,
158)(68, 218)(73, 419)(75, 417)(76, 416)(77, 395)(78, 396)(79, 384)(80, 383)(81,
277)(82, 278)(83, 224)(84, 223)(85, 128)(86, 127)(89, 427)(90, 428)(91, 421)(92,
422)(95, 178)(96, 177)(97, 339)(98, 156)(100, 173)(103, 368)(104, 367)(105,
329)(106, 330)(109, 161)(110, 162)(111, 262)(112, 261)(113, 259)(114, 260)(117,
134)(118, 133)(119, 226)(120, 225)(121, 297)(122, 298)(123, 390)(124, 389)(125,
249)(126, 250)(129, 290)(130, 289)(131, 240)(132, 239)(135, 192)(136, 191)(137,
184)(138, 183)(139, 197)(140, 198)(141, 360)(142, 359)(143, 144)(145, 209)(146,
210)(147, 206)(148, 205)(149, 309)(150, 310)(152, 446)(153, 443)(154, 440)(155,
348)(157, 219)(159, 372)(160, 371)(163, 321)(164, 322)(165, 324)(166, 323)(169,
182)(170, 438)(172, 341)(174, 217)(175, 338)(176, 337)(180, 216)(181, 343)(185,
304)(186, 303)(187, 449)(188, 450)(189, 455)(190, 456)(193, 453)(194, 454)(195,
212)(196, 211)(199, 366)(200, 365)(201, 357)(202, 358)(203, 459)(204, 460)(207,
362)(208, 361)(213, 214)(215, 437)(222, 447)(227, 399)(228, 400)(229, 285)(230,
286)(231, 431)(232, 432)(233, 424)(234, 423)(235, 472)(236, 471)(237, 410)(238,
409)(241, 270)(242, 269)(243, 425)(244, 426)(245, 387)(246, 388)(247, 469)(248,
470)(251, 282)(252, 281)(253, 254)(255, 275)(256, 276)(257, 293)(258, 294)(263,
379)(264, 380)(265, 382)(266, 381)(267, 404)(268, 403)(271, 411)(272, 412)(273,
436)(274, 435)(279, 280)(287, 473)(288, 474)(291, 434)(292, 433)(295, 398)(296,
397)(299, 385)(300, 386)(301, 302)(305, 306)(307, 458)(308, 457)(311, 461)(312,
462)(313, 363)(314, 364)(315, 354)(316, 353)(317, 352)(318, 351)(319, 369)(320,
370)(327, 328)(331, 332)(333, 467)(334, 468)(336, 445)(345, 439)(346, 448)(355,
452)(356, 451)(373, 466)(374, 465)(375, 476)(376, 475)(377, 414)(378, 413)(391,
407)(392, 408)(393, 394)(405, 429)(406, 430)(463, 464)
f: (2, 5)(3, 4)(6, 8)(7, 9)(10, 12)(11, 13)(16, 17)(18, 20)(19, 21)(22, 23)(24,
25)(26, 27)(28, 29)(33, 36)(34, 35)(37, 40)(38, 39)(41, 46)(42, 45)(43, 48)(44,
47)(49, 52)(50, 51)(53, 55)(54, 56)(57, 58)(61, 63)(62, 64)(65, 68)(66, 67)(69,
71)(70, 72)(73, 75)(74, 76)(77, 82)(78, 81)(79, 84)(80, 83)(85, 89)(86, 90)(87,
91)(88, 92)(95, 101)(96, 102)(97, 98)(99, 100)(103, 104)(105, 106)(107,
109)(108, 110)(111, 118)(112, 117)(113, 116)(114, 115)(119, 124)(120, 123)(121,
126)(122, 125)(127, 132)(128, 131)(129, 134)(130, 133)(135, 142)(136, 141)(137,
140)(138, 139)(143, 149)(144, 150)(145, 147)(146, 148)(151, 153)(152, 154)(155,
157)(156, 158)(159, 165)(160, 166)(161, 164)(162, 163)(167, 169)(168, 170)(171,
174)(172, 173)(175, 181)(176, 182)(177, 179)(178, 180)(183, 189)(184, 190)(185,
187)(186, 188)(191, 196)(192, 195)(193, 198)(194, 197)(199, 212)(200, 211)(201,
207)(202, 208)(203, 213)(204, 214)(205, 210)(206, 209)(215, 222)(216, 221)(217,
220)(218, 219)(223, 226)(224, 225)(227, 230)(228, 229)(231, 235)(232, 236)(233,
238)(234, 237)(239, 243)(240, 244)(241, 247)(242, 248)(245, 249)(246, 250)(251,
253)(252, 254)(255, 260)(256, 259)(257, 262)(258, 261)(263, 269)(264, 270)(265,
267)(266, 268)(271, 273)(272, 274)(275, 283)(276, 284)(277, 285)(278, 286)(279,
281)(280, 282)(287, 291)(288, 292)(289, 293)(290, 294)(295, 301)(296, 302)(297,
299)(298, 300)(303, 317)(304, 318)(305, 310)(306, 309)(307, 311)(308, 312)(313,
316)(314, 315)(319, 329)(320, 330)(321, 325)(322, 326)(323, 333)(324, 334)(327,
331)(328, 332)(335, 337)(336, 338)(339, 340)(341, 342)(343, 346)(344, 345)(347,
349)(348, 350)(351, 355)(352, 356)(353, 358)(354, 357)(359, 366)(360, 365)(361,
363)(362, 364)(367, 368)(369, 370)(371, 373)(372, 374)(375, 380)(376, 379)(377,
381)(378, 382)(383, 390)(384, 389)(385, 388)(386, 387)(391, 403)(392, 404)(393,
397)(394, 398)(395, 399)(396, 400)(401, 405)(402, 406)(407, 414)(408, 413)(409,
412)(410, 411)(417, 418)(419, 420)(421, 430)(422, 429)(423, 436)(424, 435)(425,
428)(426, 427)(431, 434)(432, 433)(437, 440)(438, 441)(439, 442)(443, 444)(445,
448)(446, 447)(449, 452)(450, 451)(453, 456)(454, 455)(457, 462)(458, 461)(459,
464)(460, 463)(465, 468)(466, 467)(469, 476)(470, 475)(471, 474)(472, 473)(477,
479)(478, 480)
g: (4, 5)(6, 10)(7, 12)(8, 11)(9, 13)(14, 17)(15, 16)(18, 22)(19, 23)(20,
24)(21, 25)(26, 29)(27, 28)(30, 31)(33, 34)(37, 38)(41, 44)(42, 43)(51, 52)(55,
56)(57, 59)(58, 60)(61, 66)(62, 67)(63, 68)(64, 65)(69, 73)(70, 76)(71, 74)(72,
75)(77, 85)(78, 86)(79, 92)(80, 91)(81, 87)(82, 88)(83, 90)(84, 89)(93, 94)(95,
97)(96, 98)(99, 101)(100, 102)(103, 110)(104, 109)(105, 107)(106, 108)(111,
119)(112, 120)(113, 124)(114, 123)(115, 122)(116, 121)(117, 125)(118, 126)(127,
134)(128, 133)(135, 150)(136, 149)(137, 145)(138, 146)(139, 144)(140, 143)(141,
147)(142, 148)(151, 157)(152, 155)(153, 158)(154, 156)(159, 162)(160, 161)(163,
164)(165, 166)(167, 174)(168, 171)(169, 172)(170, 173)(175, 178)(176, 177)(179,
180)(181, 182)(183, 195)(184, 196)(185, 194)(186, 193)(187, 192)(188, 191)(189,
197)(190, 198)(199, 204)(200, 203)(201, 206)(202, 205)(207, 214)(208, 213)(209,
212)(210, 211)(215, 219)(216, 218)(217, 222)(220, 221)(223, 232)(224, 231)(225,
233)(226, 234)(227, 238)(228, 237)(229, 236)(230, 235)(239, 254)(240, 253)(241,
246)(242, 245)(243, 250)(244, 249)(247, 252)(248, 251)(255, 258)(256, 257)(259,
266)(260, 265)(261, 264)(262, 263)(267, 270)(268, 269)(271, 282)(272, 281)(273,
286)(274, 285)(275, 278)(276, 277)(279, 284)(280, 283)(287, 302)(288, 301)(289,
296)(290, 295)(291, 300)(292, 299)(293, 298)(294, 297)(303, 312)(304, 311)(305,
316)(306, 315)(307, 314)(308, 313)(309, 318)(310, 317)(319, 324)(320, 323)(321,
330)(322, 329)(325, 328)(326, 327)(331, 334)(332, 333)(335, 342)(336, 341)(337,
340)(338, 339)(343, 348)(344, 349)(345, 350)(346, 347)(351, 366)(352, 365)(353,
361)(354, 362)(355, 364)(356, 363)(357, 359)(358, 360)(367, 372)(368, 371)(369,
374)(370, 373)(375, 386)(376, 385)(377, 388)(378, 387)(379, 383)(380, 384)(381,
390)(382, 389)(391, 394)(392, 393)(395, 406)(396, 405)(397, 402)(398, 401)(399,
404)(400, 403)(409, 414)(410, 413)(415, 417)(416, 418)(421, 423)(422, 424)(425,
430)(426, 429)(427, 431)(428, 432)(433, 436)(434, 435)(437, 444)(438, 439)(440,
442)(441, 443)(445, 446)(449, 459)(450, 460)(451, 458)(452, 457)(453, 461)(454,
462)(455, 464)(456, 463)(465, 466)(471, 476)(472, 475)(479, 480)
C4[ 480, 542 ]
480
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-2 473 1 474 477
-3 1 478 469 470
-4 1 475 476 480
-5 1 479 471 472
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-7 289 15 290 19
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-480 441 442 4 445
0