Graph forms
for C4 [ 416, 23 ] = PX(26,4)
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On this page are computer-accessible forms for the graph C4[ 416, 23 ] =
PX(26,4).
(I) Following is a form readable by MAGMA:
g:=Graph<416|{ {16, 31}, {400, 415}, {384, 399}, {368, 383}, {352, 367}, {336,
351}, {320, 335}, {176, 191}, {160, 175}, {144, 159}, {128, 143}, {112, 127},
{32, 47}, {48, 63}, {64, 79}, {80, 95}, {96, 111}, {192, 207}, {208, 223}, {224,
239}, {240, 255}, {256, 271}, {272, 287}, {288, 303}, {304, 319}, {1, 17}, {385,
401}, {384, 400}, {353, 369}, {352, 368}, {321, 337}, {320, 336}, {161, 177},
{160, 176}, {129, 145}, {128, 144}, {32, 48}, {33, 49}, {64, 80}, {65, 81}, {96,
112}, {97, 113}, {192, 208}, {193, 209}, {224, 240}, {225, 241}, {256, 272},
{257, 273}, {288, 304}, {289, 305}, {2, 19}, {399, 414}, {386, 403}, {367, 382},
{354, 371}, {335, 350}, {322, 339}, {175, 190}, {162, 179}, {143, 158}, {130,
147}, {111, 126}, {15, 30}, {34, 51}, {47, 62}, {66, 83}, {79, 94}, {98, 115},
{194, 211}, {207, 222}, {226, 243}, {239, 254}, {258, 275}, {271, 286}, {290,
307}, {303, 318}, {14, 28}, {399, 413}, {398, 412}, {367, 381}, {366, 380},
{335, 349}, {334, 348}, {175, 189}, {174, 188}, {143, 157}, {142, 156}, {111,
125}, {110, 124}, {15, 29}, {46, 60}, {47, 61}, {78, 92}, {79, 93}, {206, 220},
{207, 221}, {238, 252}, {239, 253}, {270, 284}, {271, 285}, {302, 316}, {303,
317}, {1, 18}, {388, 407}, {385, 402}, {356, 375}, {353, 370}, {324, 343}, {321,
338}, {164, 183}, {161, 178}, {132, 151}, {129, 146}, {4, 23}, {33, 50}, {36,
55}, {65, 82}, {68, 87}, {97, 114}, {100, 119}, {193, 210}, {196, 215}, {225,
242}, {228, 247}, {257, 274}, {260, 279}, {289, 306}, {292, 311}, {12, 24},
{397, 409}, {396, 408}, {365, 377}, {364, 376}, {333, 345}, {332, 344}, {173,
185}, {172, 184}, {141, 153}, {140, 152}, {109, 121}, {108, 120}, {13, 25}, {44,
56}, {45, 57}, {76, 88}, {77, 89}, {204, 216}, {205, 217}, {236, 248}, {237,
249}, {268, 280}, {269, 281}, {300, 312}, {301, 313}, {3, 22}, {398, 411}, {387,
406}, {366, 379}, {355, 374}, {334, 347}, {323, 342}, {174, 187}, {163, 182},
{142, 155}, {131, 150}, {110, 123}, {14, 27}, {35, 54}, {46, 59}, {67, 86}, {78,
91}, {99, 118}, {195, 214}, {206, 219}, {227, 246}, {238, 251}, {259, 278},
{270, 283}, {291, 310}, {302, 315}, {2, 20}, {387, 405}, {386, 404}, {355, 373},
{354, 372}, {323, 341}, {322, 340}, {163, 181}, {162, 180}, {131, 149}, {130,
148}, {3, 21}, {34, 52}, {35, 53}, {66, 84}, {67, 85}, {98, 116}, {99, 117},
{194, 212}, {195, 213}, {226, 244}, {227, 245}, {258, 276}, {259, 277}, {290,
308}, {291, 309}, {8, 31}, {397, 410}, {392, 415}, {365, 378}, {360, 383}, {333,
346}, {328, 351}, {173, 186}, {168, 191}, {141, 154}, {136, 159}, {109, 122},
{13, 26}, {40, 63}, {45, 58}, {72, 95}, {77, 90}, {104, 127}, {200, 223}, {205,
218}, {232, 255}, {237, 250}, {264, 287}, {269, 282}, {296, 319}, {301, 314},
{9, 17}, {393, 401}, {361, 369}, {329, 337}, {169, 177}, {137, 145}, {41, 49},
{73, 81}, {105, 113}, {201, 209}, {233, 241}, {265, 273}, {297, 305}, {7, 30},
{394, 403}, {391, 414}, {362, 371}, {359, 382}, {330, 339}, {327, 350}, {170,
179}, {167, 190}, {138, 147}, {135, 158}, {10, 19}, {39, 62}, {42, 51}, {71,
94}, {74, 83}, {103, 126}, {106, 115}, {199, 222}, {202, 211}, {231, 254}, {234,
243}, {263, 286}, {266, 275}, {295, 318}, {298, 307}, {6, 28}, {391, 413}, {390,
412}, {359, 381}, {358, 380}, {327, 349}, {326, 348}, {167, 189}, {166, 188},
{135, 157}, {134, 156}, {7, 29}, {38, 60}, {39, 61}, {70, 92}, {71, 93}, {102,
124}, {103, 125}, {198, 220}, {199, 221}, {230, 252}, {231, 253}, {262, 284},
{263, 285}, {294, 316}, {295, 317}, {9, 18}, {396, 407}, {393, 402}, {364, 375},
{361, 370}, {332, 343}, {329, 338}, {172, 183}, {169, 178}, {140, 151}, {137,
146}, {108, 119}, {12, 23}, {41, 50}, {44, 55}, {73, 82}, {76, 87}, {105, 114},
{201, 210}, {204, 215}, {233, 242}, {236, 247}, {265, 274}, {268, 279}, {297,
306}, {300, 311}, {4, 24}, {389, 409}, {388, 408}, {357, 377}, {356, 376}, {325,
345}, {324, 344}, {165, 185}, {164, 184}, {133, 153}, {132, 152}, {5, 25}, {36,
56}, {37, 57}, {68, 88}, {69, 89}, {100, 120}, {101, 121}, {196, 216}, {197,
217}, {228, 248}, {229, 249}, {260, 280}, {261, 281}, {292, 312}, {293, 313},
{6, 27}, {395, 406}, {390, 411}, {363, 374}, {358, 379}, {331, 342}, {326, 347},
{171, 182}, {166, 187}, {139, 150}, {134, 155}, {11, 22}, {38, 59}, {43, 54},
{70, 91}, {75, 86}, {102, 123}, {107, 118}, {198, 219}, {203, 214}, {230, 251},
{235, 246}, {262, 283}, {267, 278}, {294, 315}, {299, 310}, {10, 20}, {395,
405}, {394, 404}, {363, 373}, {362, 372}, {331, 341}, {330, 340}, {171, 181},
{170, 180}, {139, 149}, {138, 148}, {11, 21}, {42, 52}, {43, 53}, {74, 84}, {75,
85}, {106, 116}, {107, 117}, {202, 212}, {203, 213}, {234, 244}, {235, 245},
{266, 276}, {267, 277}, {298, 308}, {299, 309}, {5, 26}, {389, 410}, {357, 378},
{325, 346}, {165, 186}, {133, 154}, {37, 58}, {69, 90}, {101, 122}, {197, 218},
{229, 250}, {261, 282}, {293, 314}, {8, 32}, {392, 416}, {344, 368}, {328, 352},
{152, 176}, {136, 160}, {24, 48}, {72, 96}, {88, 112}, {200, 224}, {216, 240},
{264, 288}, {280, 304}, {16, 32}, {400, 416}, {337, 353}, {336, 352}, {145,
161}, {144, 160}, {17, 33}, {80, 96}, {81, 97}, {208, 224}, {209, 225}, {272,
288}, {273, 289}, {18, 35}, {351, 366}, {338, 355}, {159, 174}, {146, 163}, {31,
46}, {82, 99}, {95, 110}, {210, 227}, {223, 238}, {274, 291}, {287, 302}, {30,
44}, {351, 365}, {350, 364}, {159, 173}, {158, 172}, {31, 45}, {94, 108}, {95,
109}, {222, 236}, {223, 237}, {286, 300}, {287, 301}, {17, 34}, {340, 359},
{337, 354}, {148, 167}, {145, 162}, {20, 39}, {81, 98}, {84, 103}, {209, 226},
{212, 231}, {273, 290}, {276, 295}, {28, 40}, {349, 361}, {348, 360}, {157,
169}, {156, 168}, {29, 41}, {92, 104}, {93, 105}, {220, 232}, {221, 233}, {284,
296}, {285, 297}, {19, 38}, {350, 363}, {339, 358}, {158, 171}, {147, 166}, {30,
43}, {83, 102}, {94, 107}, {211, 230}, {222, 235}, {275, 294}, {286, 299}, {18,
36}, {339, 357}, {338, 356}, {147, 165}, {146, 164}, {19, 37}, {82, 100}, {83,
101}, {210, 228}, {211, 229}, {274, 292}, {275, 293}, {24, 47}, {349, 362},
{344, 367}, {157, 170}, {152, 175}, {29, 42}, {88, 111}, {93, 106}, {216, 239},
{221, 234}, {280, 303}, {285, 298}, {25, 33}, {345, 353}, {153, 161}, {89, 97},
{217, 225}, {281, 289}, {23, 46}, {346, 355}, {343, 366}, {154, 163}, {151,
174}, {26, 35}, {87, 110}, {90, 99}, {215, 238}, {218, 227}, {279, 302}, {282,
291}, {22, 44}, {343, 365}, {342, 364}, {151, 173}, {150, 172}, {23, 45}, {86,
108}, {87, 109}, {214, 236}, {215, 237}, {278, 300}, {279, 301}, {25, 34}, {348,
359}, {345, 354}, {156, 167}, {153, 162}, {28, 39}, {89, 98}, {92, 103}, {217,
226}, {220, 231}, {281, 290}, {284, 295}, {20, 40}, {341, 361}, {340, 360},
{149, 169}, {148, 168}, {21, 41}, {84, 104}, {85, 105}, {212, 232}, {213, 233},
{276, 296}, {277, 297}, {22, 43}, {347, 358}, {342, 363}, {155, 166}, {150,
171}, {27, 38}, {86, 107}, {91, 102}, {214, 235}, {219, 230}, {278, 299}, {283,
294}, {26, 36}, {347, 357}, {346, 356}, {155, 165}, {154, 164}, {27, 37}, {90,
100}, {91, 101}, {218, 228}, {219, 229}, {282, 292}, {283, 293}, {21, 42}, {341,
362}, {149, 170}, {85, 106}, {213, 234}, {277, 298}, {40, 64}, {312, 336}, {168,
192}, {56, 80}, {184, 208}, {296, 320}, {48, 64}, {177, 193}, {176, 192}, {49,
65}, {304, 320}, {305, 321}, {50, 67}, {319, 334}, {178, 195}, {63, 78}, {191,
206}, {306, 323}, {62, 76}, {319, 333}, {318, 332}, {63, 77}, {190, 204}, {191,
205}, {49, 66}, {308, 327}, {180, 199}, {177, 194}, {52, 71}, {305, 322}, {60,
72}, {317, 329}, {316, 328}, {61, 73}, {188, 200}, {189, 201}, {51, 70}, {318,
331}, {179, 198}, {62, 75}, {190, 203}, {307, 326}, {50, 68}, {179, 197}, {178,
196}, {51, 69}, {306, 324}, {307, 325}, {56, 79}, {317, 330}, {312, 335}, {61,
74}, {184, 207}, {189, 202}, {57, 65}, {313, 321}, {185, 193}, {55, 78}, {314,
323}, {311, 334}, {58, 67}, {183, 206}, {186, 195}, {54, 76}, {311, 333}, {310,
332}, {55, 77}, {182, 204}, {183, 205}, {57, 66}, {316, 327}, {313, 322}, {60,
71}, {185, 194}, {188, 199}, {52, 72}, {309, 329}, {308, 328}, {181, 201}, {180,
200}, {53, 73}, {54, 75}, {315, 326}, {310, 331}, {182, 203}, {59, 70}, {187,
198}, {58, 68}, {315, 325}, {314, 324}, {59, 69}, {186, 196}, {187, 197}, {53,
74}, {309, 330}, {181, 202}, {104, 128}, {376, 400}, {360, 384}, {120, 144},
{112, 128}, {369, 385}, {368, 384}, {113, 129}, {114, 131}, {383, 398}, {370,
387}, {127, 142}, {126, 140}, {383, 397}, {382, 396}, {127, 141}, {113, 130},
{372, 391}, {369, 386}, {116, 135}, {124, 136}, {381, 393}, {380, 392}, {125,
137}, {115, 134}, {382, 395}, {371, 390}, {126, 139}, {114, 132}, {371, 389},
{370, 388}, {115, 133}, {120, 143}, {381, 394}, {376, 399}, {125, 138}, {121,
129}, {377, 385}, {119, 142}, {378, 387}, {375, 398}, {122, 131}, {118, 140},
{375, 397}, {374, 396}, {119, 141}, {121, 130}, {380, 391}, {377, 386}, {124,
135}, {116, 136}, {373, 393}, {372, 392}, {117, 137}, {118, 139}, {379, 390},
{374, 395}, {123, 134}, {122, 132}, {379, 389}, {378, 388}, {123, 133}, {117,
138}, {373, 394}, {16, 408}, {1, 401}, {3, 402}, {14, 415}, {12, 414}, {13,
415}, {2, 401}, {7, 404}, {8, 412}, {9, 413}, {6, 403}, {11, 414}, {4, 402}, {5,
403}, {10, 413}, {15, 408}, {1, 409}, {3, 410}, {14, 407}, {12, 406}, {13, 407},
{2, 409}, {7, 412}, {8, 404}, {9, 405}, {6, 411}, {11, 406}, {4, 410}, {5, 411},
{10, 405}, {15, 416}, {16, 416}, {232, 256}, {248, 272}, {240, 256}, {241, 257},
{242, 259}, {255, 270}, {254, 268}, {255, 269}, {241, 258}, {244, 263}, {252,
264}, {253, 265}, {243, 262}, {254, 267}, {242, 260}, {243, 261}, {248, 271},
{253, 266}, {249, 257}, {247, 270}, {250, 259}, {246, 268}, {247, 269}, {249,
258}, {252, 263}, {244, 264}, {245, 265}, {246, 267}, {251, 262}, {250, 260},
{251, 261}, {245, 266} }>;
(II) A more general form is to represent the graph as the orbit of {16, 31}
under the group generated by the following permutations:
a: (2, 9)(3, 5)(4, 13)(6, 11)(8, 15)(12, 14)(17, 401)(18, 409)(19, 405)(20,
413)(21, 403)(22, 411)(23, 407)(24, 415)(25, 402)(26, 410)(27, 406)(28, 414)(29,
404)(30, 412)(31, 408)(32, 416)(33, 385)(34, 393)(35, 389)(36, 397)(37, 387)(38,
395)(39, 391)(40, 399)(41, 386)(42, 394)(43, 390)(44, 398)(45, 388)(46, 396)(47,
392)(48, 400)(49, 369)(50, 377)(51, 373)(52, 381)(53, 371)(54, 379)(55, 375)(56,
383)(57, 370)(58, 378)(59, 374)(60, 382)(61, 372)(62, 380)(63, 376)(64, 384)(65,
353)(66, 361)(67, 357)(68, 365)(69, 355)(70, 363)(71, 359)(72, 367)(73, 354)(74,
362)(75, 358)(76, 366)(77, 356)(78, 364)(79, 360)(80, 368)(81, 337)(82, 345)(83,
341)(84, 349)(85, 339)(86, 347)(87, 343)(88, 351)(89, 338)(90, 346)(91, 342)(92,
350)(93, 340)(94, 348)(95, 344)(96, 352)(97, 321)(98, 329)(99, 325)(100,
333)(101, 323)(102, 331)(103, 327)(104, 335)(105, 322)(106, 330)(107, 326)(108,
334)(109, 324)(110, 332)(111, 328)(112, 336)(113, 305)(114, 313)(115, 309)(116,
317)(117, 307)(118, 315)(119, 311)(120, 319)(121, 306)(122, 314)(123, 310)(124,
318)(125, 308)(126, 316)(127, 312)(128, 320)(129, 289)(130, 297)(131, 293)(132,
301)(133, 291)(134, 299)(135, 295)(136, 303)(137, 290)(138, 298)(139, 294)(140,
302)(141, 292)(142, 300)(143, 296)(144, 304)(145, 273)(146, 281)(147, 277)(148,
285)(149, 275)(150, 283)(151, 279)(152, 287)(153, 274)(154, 282)(155, 278)(156,
286)(157, 276)(158, 284)(159, 280)(160, 288)(161, 257)(162, 265)(163, 261)(164,
269)(165, 259)(166, 267)(167, 263)(168, 271)(169, 258)(170, 266)(171, 262)(172,
270)(173, 260)(174, 268)(175, 264)(176, 272)(177, 241)(178, 249)(179, 245)(180,
253)(181, 243)(182, 251)(183, 247)(184, 255)(185, 242)(186, 250)(187, 246)(188,
254)(189, 244)(190, 252)(191, 248)(192, 256)(193, 225)(194, 233)(195, 229)(196,
237)(197, 227)(198, 235)(199, 231)(200, 239)(201, 226)(202, 234)(203, 230)(204,
238)(205, 228)(206, 236)(207, 232)(208, 240)(210, 217)(211, 213)(212, 221)(214,
219)(216, 223)(220, 222) (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: (1, 17)(2, 25)(3, 21)(4, 29)(5, 19)(6, 27)(7, 23)(8, 31)(9, 18)(10, 26)(11,
22)(12, 30)(13, 20)(14, 28)(15, 24)(16, 32)(33, 401)(34, 409)(35, 405)(36,
413)(37, 403)(38, 411)(39, 407)(40, 415)(41, 402)(42, 410)(43, 406)(44, 414)(45,
404)(46, 412)(47, 408)(48, 416)(49, 385)(50, 393)(51, 389)(52, 397)(53, 387)(54,
395)(55, 391)(56, 399)(57, 386)(58, 394)(59, 390)(60, 398)(61, 388)(62, 396)(63,
392)(64, 400)(65, 369)(66, 377)(67, 373)(68, 381)(69, 371)(70, 379)(71, 375)(72,
383)(73, 370)(74, 378)(75, 374)(76, 382)(77, 372)(78, 380)(79, 376)(80, 384)(81,
353)(82, 361)(83, 357)(84, 365)(85, 355)(86, 363)(87, 359)(88, 367)(89, 354)(90,
362)(91, 358)(92, 366)(93, 356)(94, 364)(95, 360)(96, 368)(97, 337)(98, 345)(99,
341)(100, 349)(101, 339)(102, 347)(103, 343)(104, 351)(105, 338)(106, 346)(107,
342)(108, 350)(109, 340)(110, 348)(111, 344)(112, 352)(113, 321)(114, 329)(115,
325)(116, 333)(117, 323)(118, 331)(119, 327)(120, 335)(121, 322)(122, 330)(123,
326)(124, 334)(125, 324)(126, 332)(127, 328)(128, 336)(129, 305)(130, 313)(131,
309)(132, 317)(133, 307)(134, 315)(135, 311)(136, 319)(137, 306)(138, 314)(139,
310)(140, 318)(141, 308)(142, 316)(143, 312)(144, 320)(145, 289)(146, 297)(147,
293)(148, 301)(149, 291)(150, 299)(151, 295)(152, 303)(153, 290)(154, 298)(155,
294)(156, 302)(157, 292)(158, 300)(159, 296)(160, 304)(161, 273)(162, 281)(163,
277)(164, 285)(165, 275)(166, 283)(167, 279)(168, 287)(169, 274)(170, 282)(171,
278)(172, 286)(173, 276)(174, 284)(175, 280)(176, 288)(177, 257)(178, 265)(179,
261)(180, 269)(181, 259)(182, 267)(183, 263)(184, 271)(185, 258)(186, 266)(187,
262)(188, 270)(189, 260)(190, 268)(191, 264)(192, 272)(193, 241)(194, 249)(195,
245)(196, 253)(197, 243)(198, 251)(199, 247)(200, 255)(201, 242)(202, 250)(203,
246)(204, 254)(205, 244)(206, 252)(207, 248)(208, 256)(209, 225)(210, 233)(211,
229)(212, 237)(213, 227)(214, 235)(215, 231)(216, 239)(217, 226)(218, 234)(219,
230)(220, 238)(221, 228)(222, 236)(223, 232)(224, 240)
c: (81, 82)(83, 84)(85, 86)(87, 88)(89, 90)(91, 92)(93, 94)(95, 96)(97, 99)(98,
100)(101, 103)(102, 104)(105, 107)(106, 108)(109, 111)(110, 112)(113, 117)(114,
118)(115, 119)(116, 120)(121, 125)(122, 126)(123, 127)(124, 128)(129, 137)(130,
138)(131, 139)(132, 140)(133, 141)(134, 142)(135, 143)(136, 144)
d: (225, 226)(227, 228)(229, 230)(231, 232)(233, 234)(235, 236)(237, 238)(239,
240)(241, 243)(242, 244)(245, 247)(246, 248)(249, 251)(250, 252)(253, 255)(254,
256)(257, 261)(258, 262)(259, 263)(260, 264)(265, 269)(266, 270)(267, 271)(268,
272)(273, 281)(274, 282)(275, 283)(276, 284)(277, 285)(278, 286)(279, 287)(280,
288)
e: (241, 242)(243, 244)(245, 246)(247, 248)(249, 250)(251, 252)(253, 254)(255,
256)(257, 259)(258, 260)(261, 263)(262, 264)(265, 267)(266, 268)(269, 271)(270,
272)(273, 277)(274, 278)(275, 279)(276, 280)(281, 285)(282, 286)(283, 287)(284,
288)(289, 297)(290, 298)(291, 299)(292, 300)(293, 301)(294, 302)(295, 303)(296,
304)
f: (257, 258)(259, 260)(261, 262)(263, 264)(265, 266)(267, 268)(269, 270)(271,
272)(273, 275)(274, 276)(277, 279)(278, 280)(281, 283)(282, 284)(285, 287)(286,
288)(289, 293)(290, 294)(291, 295)(292, 296)(297, 301)(298, 302)(299, 303)(300,
304)(305, 313)(306, 314)(307, 315)(308, 316)(309, 317)(310, 318)(311, 319)(312,
320)
g: (161, 162)(163, 164)(165, 166)(167, 168)(169, 170)(171, 172)(173, 174)(175,
176)(177, 179)(178, 180)(181, 183)(182, 184)(185, 187)(186, 188)(189, 191)(190,
192)(193, 197)(194, 198)(195, 199)(196, 200)(201, 205)(202, 206)(203, 207)(204,
208)(209, 217)(210, 218)(211, 219)(212, 220)(213, 221)(214, 222)(215, 223)(216,
224)
h: (177, 178)(179, 180)(181, 182)(183, 184)(185, 186)(187, 188)(189, 190)(191,
192)(193, 195)(194, 196)(197, 199)(198, 200)(201, 203)(202, 204)(205, 207)(206,
208)(209, 213)(210, 214)(211, 215)(212, 216)(217, 221)(218, 222)(219, 223)(220,
224)(225, 233)(226, 234)(227, 235)(228, 236)(229, 237)(230, 238)(231, 239)(232,
240)
m: (97, 98)(99, 100)(101, 102)(103, 104)(105, 106)(107, 108)(109, 110)(111,
112)(113, 115)(114, 116)(117, 119)(118, 120)(121, 123)(122, 124)(125, 127)(126,
128)(129, 133)(130, 134)(131, 135)(132, 136)(137, 141)(138, 142)(139, 143)(140,
144)(145, 153)(146, 154)(147, 155)(148, 156)(149, 157)(150, 158)(151, 159)(152,
160)
n1: (113, 114)(115, 116)(117, 118)(119, 120)(121, 122)(123, 124)(125, 126)(127,
128)(129, 131)(130, 132)(133, 135)(134, 136)(137, 139)(138, 140)(141, 143)(142,
144)(145, 149)(146, 150)(147, 151)(148, 152)(153, 157)(154, 158)(155, 159)(156,
160)(161, 169)(162, 170)(163, 171)(164, 172)(165, 173)(166, 174)(167, 175)(168,
176)
a1: (33, 34)(35, 36)(37, 38)(39, 40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 51)(50,
52)(53, 55)(54, 56)(57, 59)(58, 60)(61, 63)(62, 64)(65, 69)(66, 70)(67, 71)(68,
72)(73, 77)(74, 78)(75, 79)(76, 80)(81, 89)(82, 90)(83, 91)(84, 92)(85, 93)(86,
94)(87, 95)(88, 96)
b1: (49, 50)(51, 52)(53, 54)(55, 56)(57, 58)(59, 60)(61, 62)(63, 64)(65, 67)(66,
68)(69, 71)(70, 72)(73, 75)(74, 76)(77, 79)(78, 80)(81, 85)(82, 86)(83, 87)(84,
88)(89, 93)(90, 94)(91, 95)(92, 96)(97, 105)(98, 106)(99, 107)(100, 108)(101,
109)(102, 110)(103, 111)(104, 112)
c1: (65, 66)(67, 68)(69, 70)(71, 72)(73, 74)(75, 76)(77, 78)(79, 80)(81, 83)(82,
84)(85, 87)(86, 88)(89, 91)(90, 92)(93, 95)(94, 96)(97, 101)(98, 102)(99,
103)(100, 104)(105, 109)(106, 110)(107, 111)(108, 112)(113, 121)(114, 122)(115,
123)(116, 124)(117, 125)(118, 126)(119, 127)(120, 128)
d1: (145, 146)(147, 148)(149, 150)(151, 152)(153, 154)(155, 156)(157, 158)(159,
160)(161, 163)(162, 164)(165, 167)(166, 168)(169, 171)(170, 172)(173, 175)(174,
176)(177, 181)(178, 182)(179, 183)(180, 184)(185, 189)(186, 190)(187, 191)(188,
192)(193, 201)(194, 202)(195, 203)(196, 204)(197, 205)(198, 206)(199, 207)(200,
208)
e1: (129, 130)(131, 132)(133, 134)(135, 136)(137, 138)(139, 140)(141, 142)(143,
144)(145, 147)(146, 148)(149, 151)(150, 152)(153, 155)(154, 156)(157, 159)(158,
160)(161, 165)(162, 166)(163, 167)(164, 168)(169, 173)(170, 174)(171, 175)(172,
176)(177, 185)(178, 186)(179, 187)(180, 188)(181, 189)(182, 190)(183, 191)(184,
192)
f1: (193, 194)(195, 196)(197, 198)(199, 200)(201, 202)(203, 204)(205, 206)(207,
208)(209, 211)(210, 212)(213, 215)(214, 216)(217, 219)(218, 220)(221, 223)(222,
224)(225, 229)(226, 230)(227, 231)(228, 232)(233, 237)(234, 238)(235, 239)(236,
240)(241, 249)(242, 250)(243, 251)(244, 252)(245, 253)(246, 254)(247, 255)(248,
256)
g1: (209, 210)(211, 212)(213, 214)(215, 216)(217, 218)(219, 220)(221, 222)(223,
224)(225, 227)(226, 228)(229, 231)(230, 232)(233, 235)(234, 236)(237, 239)(238,
240)(241, 245)(242, 246)(243, 247)(244, 248)(249, 253)(250, 254)(251, 255)(252,
256)(257, 265)(258, 266)(259, 267)(260, 268)(261, 269)(262, 270)(263, 271)(264,
272)
h1: (321, 322)(323, 324)(325, 326)(327, 328)(329, 330)(331, 332)(333, 334)(335,
336)(337, 339)(338, 340)(341, 343)(342, 344)(345, 347)(346, 348)(349, 351)(350,
352)(353, 357)(354, 358)(355, 359)(356, 360)(361, 365)(362, 366)(363, 367)(364,
368)(369, 377)(370, 378)(371, 379)(372, 380)(373, 381)(374, 382)(375, 383)(376,
384)
m1: (305, 306)(307, 308)(309, 310)(311, 312)(313, 314)(315, 316)(317, 318)(319,
320)(321, 323)(322, 324)(325, 327)(326, 328)(329, 331)(330, 332)(333, 335)(334,
336)(337, 341)(338, 342)(339, 343)(340, 344)(345, 349)(346, 350)(347, 351)(348,
352)(353, 361)(354, 362)(355, 363)(356, 364)(357, 365)(358, 366)(359, 367)(360,
368)
n2: (289, 290)(291, 292)(293, 294)(295, 296)(297, 298)(299, 300)(301, 302)(303,
304)(305, 307)(306, 308)(309, 311)(310, 312)(313, 315)(314, 316)(317, 319)(318,
320)(321, 325)(322, 326)(323, 327)(324, 328)(329, 333)(330, 334)(331, 335)(332,
336)(337, 345)(338, 346)(339, 347)(340, 348)(341, 349)(342, 350)(343, 351)(344,
352)
a2: (273, 274)(275, 276)(277, 278)(279, 280)(281, 282)(283, 284)(285, 286)(287,
288)(289, 291)(290, 292)(293, 295)(294, 296)(297, 299)(298, 300)(301, 303)(302,
304)(305, 309)(306, 310)(307, 311)(308, 312)(313, 317)(314, 318)(315, 319)(316,
320)(321, 329)(322, 330)(323, 331)(324, 332)(325, 333)(326, 334)(327, 335)(328,
336)
b2: (353, 354)(355, 356)(357, 358)(359, 360)(361, 362)(363, 364)(365, 366)(367,
368)(369, 371)(370, 372)(373, 375)(374, 376)(377, 379)(378, 380)(381, 383)(382,
384)(385, 389)(386, 390)(387, 391)(388, 392)(393, 397)(394, 398)(395, 399)(396,
400)(401, 409)(402, 410)(403, 411)(404, 412)(405, 413)(406, 414)(407, 415)(408,
416)
c2: (337, 338)(339, 340)(341, 342)(343, 344)(345, 346)(347, 348)(349, 350)(351,
352)(353, 355)(354, 356)(357, 359)(358, 360)(361, 363)(362, 364)(365, 367)(366,
368)(369, 373)(370, 374)(371, 375)(372, 376)(377, 381)(378, 382)(379, 383)(380,
384)(385, 393)(386, 394)(387, 395)(388, 396)(389, 397)(390, 398)(391, 399)(392,
400)
d2: (17, 18)(19, 20)(21, 22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 35)(34,
36)(37, 39)(38, 40)(41, 43)(42, 44)(45, 47)(46, 48)(49, 53)(50, 54)(51, 55)(52,
56)(57, 61)(58, 62)(59, 63)(60, 64)(65, 73)(66, 74)(67, 75)(68, 76)(69, 77)(70,
78)(71, 79)(72, 80)
e2: (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 19)(18, 20)(21,
23)(22, 24)(25, 27)(26, 28)(29, 31)(30, 32)(33, 37)(34, 38)(35, 39)(36, 40)(41,
45)(42, 46)(43, 47)(44, 48)(49, 57)(50, 58)(51, 59)(52, 60)(53, 61)(54, 62)(55,
63)(56, 64)
f2: (1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 21)(18, 22)(19,
23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 41)(34, 42)(35, 43)(36, 44)(37,
45)(38, 46)(39, 47)(40, 48)(401, 402)(403, 404)(405, 406)(407, 408)(409,
410)(411, 412)(413, 414)(415, 416)
C4[ 416, 23 ]
416
-1 409 401 17 18
-2 409 401 19 20
-3 22 410 402 21
-4 23 24 410 402
-5 25 26 411 403
-6 411 27 28 403
-7 412 29 30 404
-8 412 404 31 32
-9 17 413 18 405
-10 413 19 20 405
-11 22 414 21 406
-12 23 24 414 406
-13 407 25 26 415
-14 407 27 28 415
-15 408 29 30 416
-16 408 31 416 32
-17 33 1 34 9
-18 1 35 36 9
-19 2 37 38 10
-20 2 39 40 10
-21 11 3 41 42
-22 11 44 3 43
-23 12 45 46 4
-24 12 47 4 48
-25 33 34 13 5
-26 13 35 36 5
-27 14 37 38 6
-28 14 6 39 40
-29 15 7 41 42
-30 44 15 7 43
-31 45 46 16 8
-32 47 48 16 8
-33 25 49 17 50
-34 25 17 51 52
-35 26 18 53 54
-36 55 56 26 18
-37 57 58 27 19
-38 59 27 60 19
-39 28 61 62 20
-40 28 63 20 64
-41 49 50 29 21
-42 29 51 52 21
-43 22 30 53 54
-44 22 55 56 30
-45 23 57 58 31
-46 23 59 60 31
-47 24 61 62 32
-48 24 63 64 32
-49 33 66 41 65
-50 33 67 68 41
-51 34 69 70 42
-52 34 71 72 42
-53 35 73 74 43
-54 35 75 43 76
-55 44 77 78 36
-56 44 79 36 80
-57 66 45 37 65
-58 45 67 68 37
-59 46 69 70 38
-60 46 38 71 72
-61 47 39 73 74
-62 47 39 75 76
-63 77 78 48 40
-64 79 80 48 40
-65 57 81 49 82
-66 57 49 83 84
-67 58 50 85 86
-68 88 58 50 87
-69 89 90 59 51
-70 91 59 92 51
-71 60 93 94 52
-72 60 95 52 96
-73 81 82 61 53
-74 61 83 84 53
-75 62 85 86 54
-76 88 62 54 87
-77 55 89 90 63
-78 55 91 92 63
-79 56 93 94 64
-80 56 95 96 64
-81 73 97 65 98
-82 99 100 73 65
-83 66 101 102 74
-84 66 103 104 74
-85 67 105 106 75
-86 67 107 75 108
-87 110 68 76 109
-88 111 68 112 76
-89 77 69 97 98
-90 77 99 100 69
-91 78 101 102 70
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-94 79 71 107 108
-95 110 80 72 109
-96 111 112 80 72
-97 89 113 81 114
-98 89 81 115 116
-99 90 82 117 118
-100 90 82 119 120
-101 121 122 91 83
-102 123 91 124 83
-103 92 125 126 84
-104 92 127 84 128
-105 113 114 93 85
-106 93 115 116 85
-107 94 117 118 86
-108 94 86 119 120
-109 121 122 95 87
-110 123 124 95 87
-111 88 125 126 96
-112 88 127 128 96
-113 105 129 97 130
-114 132 105 97 131
-115 133 134 106 98
-116 135 136 106 98
-117 99 137 138 107
-118 99 139 107 140
-119 100 108 141 142
-120 143 100 144 108
-121 101 129 130 109
-122 132 101 109 131
-123 110 133 134 102
-124 110 102 135 136
-125 111 103 137 138
-126 111 103 139 140
-127 112 104 141 142
-128 143 144 112 104
-129 121 145 113 146
-130 121 113 147 148
-131 122 114 149 150
-132 122 114 151 152
-133 154 123 115 153
-134 155 123 156 115
-135 124 157 158 116
-136 124 159 116 160
-137 145 146 125 117
-138 125 147 148 117
-139 126 149 150 118
-140 126 118 151 152
-141 154 127 119 153
-142 155 156 127 119
-143 157 158 128 120
-144 159 160 128 120
-145 137 161 129 162
-146 137 129 163 164
-147 165 166 138 130
-148 167 168 138 130
-149 169 170 139 131
-150 171 139 172 131
-151 132 140 173 174
-152 132 176 140 175
-153 133 161 162 141
-154 133 141 163 164
-155 165 166 134 142
-156 134 167 168 142
-157 143 135 169 170
-158 143 135 171 172
-159 144 136 173 174
-160 176 144 136 175
-161 177 145 178 153
-162 145 179 180 153
-163 154 146 181 182
-164 154 146 183 184
-165 155 147 185 186
-166 187 155 188 147
-167 156 189 190 148
-168 156 191 148 192
-169 177 178 157 149
-170 157 179 180 149
-171 158 181 182 150
-172 158 150 183 184
-173 159 151 185 186
-174 187 188 159 151
-175 189 190 160 152
-176 191 192 160 152
-177 169 193 161 194
-178 169 161 195 196
-179 198 170 162 197
-180 199 200 170 162
-181 201 202 171 163
-182 203 171 204 163
-183 172 205 206 164
-184 172 207 164 208
-185 165 193 194 173
-186 165 173 195 196
-187 198 166 174 197
-188 166 199 200 174
-189 167 201 202 175
-190 167 203 204 175
-191 176 168 205 206
-192 176 168 207 208
-193 209 177 210 185
-194 177 211 212 185
-195 178 213 214 186
-196 178 215 216 186
-197 187 179 217 218
-198 187 220 179 219
-199 188 221 222 180
-200 188 223 180 224
-201 209 210 189 181
-202 189 211 212 181
-203 190 213 214 182
-204 190 182 215 216
-205 191 183 217 218
-206 220 191 183 219
-207 221 222 192 184
-208 223 224 192 184
-209 201 225 193 226
-210 201 193 227 228
-211 202 194 229 230
-212 231 232 202 194
-213 233 234 203 195
-214 235 203 236 195
-215 204 237 238 196
-216 204 239 196 240
-217 225 226 205 197
-218 205 227 228 197
-219 198 206 229 230
-220 198 231 232 206
-221 199 233 234 207
-222 199 235 236 207
-223 200 237 238 208
-224 200 239 240 208
-225 209 242 217 241
-226 209 243 244 217
-227 210 245 246 218
-228 210 247 248 218
-229 211 249 250 219
-230 211 251 219 252
-231 220 253 254 212
-232 220 255 212 256
-233 242 221 213 241
-234 221 243 244 213
-235 222 245 246 214
-236 222 214 247 248
-237 223 215 249 250
-238 223 215 251 252
-239 253 254 224 216
-240 255 256 224 216
-241 233 257 225 258
-242 233 225 259 260
-243 234 226 261 262
-244 264 234 226 263
-245 265 266 235 227
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-247 236 269 270 228
-248 236 271 228 272
-249 257 258 237 229
-250 237 259 260 229
-251 238 261 262 230
-252 264 238 230 263
-253 231 265 266 239
-254 231 267 268 239
-255 232 269 270 240
-256 232 271 272 240
-257 249 273 241 274
-258 275 276 249 241
-259 242 277 278 250
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-261 243 281 282 251
-262 243 283 251 284
-263 286 244 252 285
-264 287 244 288 252
-265 253 245 273 274
-266 253 275 276 245
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-268 254 246 279 280
-269 255 247 281 282
-270 255 247 283 284
-271 286 256 248 285
-272 287 288 256 248
-273 265 289 257 290
-274 265 257 291 292
-275 266 258 293 294
-276 266 258 295 296
-277 297 298 267 259
-278 299 267 300 259
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-280 268 303 260 304
-281 289 290 269 261
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-283 270 293 294 262
-284 270 262 295 296
-285 297 298 271 263
-286 299 300 271 263
-287 264 301 302 272
-288 264 303 304 272
-289 281 305 273 306
-290 308 281 273 307
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-293 275 313 314 283
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-295 276 284 317 318
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-297 277 305 306 285
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-299 286 309 310 278
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-301 287 279 313 314
-302 287 279 315 316
-303 288 280 317 318
-304 319 320 288 280
-305 297 321 289 322
-306 297 289 323 324
-307 298 290 325 326
-308 298 290 327 328
-309 330 299 291 329
-310 331 299 332 291
-311 300 333 334 292
-312 300 335 292 336
-313 321 322 301 293
-314 301 323 324 293
-315 302 325 326 294
-316 302 294 327 328
-317 330 303 295 329
-318 331 332 303 295
-319 333 334 304 296
-320 335 336 304 296
-321 313 337 305 338
-322 313 305 339 340
-323 341 342 314 306
-324 343 344 314 306
-325 345 346 315 307
-326 347 315 348 307
-327 308 316 349 350
-328 308 352 316 351
-329 309 337 338 317
-330 309 317 339 340
-331 341 342 310 318
-332 310 343 344 318
-333 319 311 345 346
-334 319 311 347 348
-335 320 312 349 350
-336 352 320 312 351
-337 353 321 354 329
-338 321 355 356 329
-339 330 322 357 358
-340 330 322 359 360
-341 331 323 361 362
-342 363 331 364 323
-343 332 365 366 324
-344 332 367 324 368
-345 353 354 333 325
-346 333 355 356 325
-347 334 357 358 326
-348 334 326 359 360
-349 335 327 361 362
-350 363 364 335 327
-351 365 366 336 328
-352 367 368 336 328
-353 345 369 337 370
-354 345 337 371 372
-355 374 346 338 373
-356 375 376 346 338
-357 377 378 347 339
-358 379 347 380 339
-359 348 381 382 340
-360 348 383 340 384
-361 341 369 370 349
-362 341 349 371 372
-363 374 342 350 373
-364 342 375 376 350
-365 343 377 378 351
-366 343 379 380 351
-367 352 344 381 382
-368 352 344 383 384
-369 385 353 386 361
-370 353 387 388 361
-371 354 389 390 362
-372 354 391 392 362
-373 363 355 393 394
-374 363 396 355 395
-375 364 397 398 356
-376 364 399 356 400
-377 385 386 365 357
-378 365 387 388 357
-379 366 389 390 358
-380 366 358 391 392
-381 367 359 393 394
-382 396 367 359 395
-383 397 398 368 360
-384 399 400 368 360
-385 377 401 369 402
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-387 378 370 405 406
-388 407 408 378 370
-389 409 410 379 371
-390 411 379 412 371
-391 380 413 414 372
-392 380 415 372 416
-393 401 402 381 373
-394 381 403 404 373
-395 374 382 405 406
-396 374 407 408 382
-397 375 409 410 383
-398 375 411 412 383
-399 376 413 414 384
-400 376 415 416 384
-401 385 1 2 393
-402 385 3 4 393
-403 386 5 6 394
-404 386 7 8 394
-405 387 9 10 395
-406 11 12 387 395
-407 396 13 14 388
-408 396 388 15 16
-409 1 397 2 389
-410 397 3 4 389
-411 398 5 390 6
-412 398 390 7 8
-413 399 391 9 10
-414 11 12 399 391
-415 13 14 400 392
-416 15 400 16 392
0