Graph forms
for C4 [ 432, 203 ] = BGCG({4,4}_6,0,C_6,{6,7})
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On this page are computer-accessible forms for the graph C4[ 432, 203 ] =
BGCG({4,4}_6,0,C_6,{6,7}).
(I) Following is a form readable by MAGMA:
g:=Graph<432|{ {144, 153}, {288, 297}, {68, 79}, {356, 367}, {212, 223}, {67,
79}, {355, 367}, {211, 223}, {144, 159}, {288, 303}, {70, 86}, {358, 374}, {202,
218}, {142, 158}, {130, 146}, {68, 85}, {356, 373}, {200, 217}, {140, 157},
{128, 145}, {69, 87}, {357, 375}, {201, 219}, {141, 159}, {129, 147}, {64, 83},
{357, 374}, {352, 371}, {201, 218}, {141, 158}, {136, 155}, {69, 86}, {129,
146}, {65, 85}, {353, 373}, {137, 157}, {66, 84}, {359, 369}, {358, 368}, {354,
372}, {143, 153}, {142, 152}, {138, 156}, {70, 80}, {71, 81}, {67, 84}, {359,
368}, {355, 372}, {204, 219}, {143, 152}, {139, 156}, {132, 147}, {71, 80}, {66,
90}, {354, 378}, {198, 222}, {64, 89}, {360, 369}, {352, 377}, {196, 221}, {72,
81}, {65, 90}, {353, 378}, {197, 222}, {140, 151}, {134, 154}, {197, 217}, {193,
221}, {139, 151}, {135, 155}, {135, 154}, {193, 220}, {32, 62}, {194, 220},
{224, 254}, {320, 350}, {32, 63}, {360, 375}, {72, 87}, {224, 255}, {320, 351},
{7, 39}, {394, 426}, {391, 423}, {154, 186}, {151, 183}, {10, 42}, {19, 51},
{22, 54}, {31, 63}, {79, 111}, {82, 114}, {91, 123}, {94, 126}, {223, 255},
{322, 354}, {10, 43}, {394, 427}, {154, 187}, {22, 55}, {82, 115}, {94, 127},
{322, 355}, {9, 43}, {396, 430}, {393, 427}, {384, 418}, {156, 190}, {153, 187},
{12, 46}, {21, 55}, {24, 58}, {81, 115}, {84, 118}, {93, 127}, {321, 355}, {324,
358}, {12, 47}, {396, 431}, {384, 419}, {156, 191}, {24, 59}, {84, 119}, {324,
359}, {1, 37}, {395, 431}, {386, 422}, {385, 421}, {349, 377}, {155, 191}, {146,
182}, {145, 181}, {133, 161}, {2, 38}, {11, 47}, {25, 61}, {26, 62}, {73, 109},
{74, 110}, {83, 119}, {205, 233}, {217, 253}, {218, 254}, {277, 305}, {323,
359}, {9, 44}, {393, 428}, {349, 376}, {153, 188}, {133, 160}, {16, 53}, {81,
116}, {88, 125}, {205, 232}, {277, 304}, {321, 356}, {16, 54}, {350, 376}, {134,
160}, {20, 50}, {88, 126}, {92, 122}, {206, 232}, {278, 304}, {2, 37}, {386,
421}, {146, 181}, {19, 52}, {20, 51}, {26, 61}, {74, 109}, {91, 124}, {92, 123},
{218, 253}, {5, 45}, {390, 430}, {389, 429}, {150, 190}, {149, 189}, {138, 162},
{6, 46}, {17, 57}, {18, 58}, {270, 294}, {282, 306}, {1, 40}, {385, 424}, {145,
184}, {136, 161}, {85, 124}, {268, 293}, {280, 305}, {3, 41}, {387, 425}, {147,
185}, {87, 125}, {6, 45}, {390, 429}, {150, 189}, {137, 162}, {18, 57}, {23,
60}, {83, 120}, {269, 294}, {281, 306}, {323, 360}, {23, 59}, {351, 371}, {350,
370}, {85, 121}, {86, 122}, {206, 226}, {207, 227}, {265, 293}, {269, 289}, {4,
41}, {388, 425}, {351, 370}, {192, 237}, {148, 185}, {17, 60}, {21, 56}, {207,
226}, {265, 292}, {336, 381}, {4, 42}, {392, 422}, {388, 426}, {152, 182}, {148,
186}, {8, 38}, {266, 292}, {3, 44}, {392, 423}, {391, 424}, {387, 428}, {152,
183}, {151, 184}, {147, 188}, {7, 40}, {8, 39}, {86, 121}, {128, 175}, {272,
319}, {199, 247}, {346, 362}, {214, 230}, {259, 307}, {271, 319}, {274, 290},
{286, 302}, {331, 379}, {212, 229}, {272, 289}, {284, 301}, {344, 361}, {130,
176}, {345, 363}, {203, 249}, {202, 248}, {131, 177}, {213, 231}, {262, 308},
{263, 309}, {273, 291}, {285, 303}, {334, 380}, {335, 381}, {131, 176}, {345,
362}, {203, 248}, {192, 243}, {208, 227}, {213, 230}, {263, 308}, {264, 315},
{273, 290}, {280, 299}, {285, 302}, {335, 380}, {209, 229}, {281, 301}, {5, 48},
{389, 432}, {132, 177}, {77, 120}, {204, 249}, {210, 228}, {214, 224}, {215,
225}, {282, 300}, {286, 296}, {287, 297}, {15, 56}, {348, 363}, {211, 228},
{215, 224}, {256, 311}, {260, 307}, {276, 291}, {283, 300}, {287, 296}, {328,
383}, {332, 379}, {77, 117}, {195, 251}, {194, 250}, {78, 118}, {210, 234},
{257, 313}, {326, 382}, {327, 383}, {342, 366}, {13, 52}, {195, 250}, {73, 112},
{208, 233}, {216, 225}, {327, 382}, {340, 365}, {15, 53}, {198, 252}, {75, 113},
{258, 312}, {11, 48}, {395, 432}, {199, 252}, {78, 117}, {209, 234}, {259, 312},
{284, 295}, {341, 366}, {13, 49}, {14, 50}, {258, 318}, {262, 314}, {278, 298},
{279, 299}, {283, 295}, {337, 365}, {341, 361}, {76, 113}, {256, 317}, {260,
313}, {264, 309}, {279, 298}, {337, 364}, {76, 114}, {80, 110}, {261, 315},
{338, 364}, {14, 49}, {200, 247}, {196, 251}, {75, 116}, {79, 112}, {80, 111},
{216, 231}, {257, 318}, {261, 314}, {37, 101}, {181, 245}, {37, 100}, {181,
244}, {38, 100}, {182, 244}, {41, 97}, {185, 241}, {266, 322}, {267, 323}, {267,
322}, {42, 96}, {186, 240}, {270, 324}, {43, 96}, {187, 240}, {271, 324}, {42,
102}, {190, 242}, {186, 246}, {46, 98}, {40, 101}, {188, 241}, {184, 245}, {44,
97}, {45, 99}, {189, 243}, {41, 102}, {189, 242}, {185, 246}, {45, 98}, {268,
323}, {55, 103}, {187, 235}, {58, 104}, {191, 237}, {190, 236}, {59, 105}, {274,
320}, {275, 321}, {48, 99}, {191, 236}, {59, 104}, {275, 320}, {29, 72}, {149,
192}, {60, 105}, {276, 321}, {317, 360}, {159, 200}, {188, 235}, {184, 239},
{29, 69}, {183, 239}, {182, 238}, {30, 70}, {50, 106}, {51, 107}, {317, 357},
{318, 358}, {25, 64}, {183, 238}, {157, 196}, {51, 106}, {313, 352}, {27, 65},
{159, 197}, {54, 108}, {315, 353}, {30, 69}, {155, 192}, {55, 108}, {318, 357},
{157, 193}, {158, 194}, {28, 65}, {316, 353}, {28, 66}, {316, 354}, {27, 68},
{158, 193}, {31, 64}, {52, 107}, {56, 103}, {315, 356}, {319, 352}, {34, 66},
{178, 210}, {175, 207}, {166, 198}, {163, 195}, {295, 327}, {298, 330}, {307,
339}, {310, 342}, {319, 351}, {34, 67}, {178, 211}, {166, 199}, {298, 331},
{310, 343}, {33, 67}, {180, 214}, {177, 211}, {168, 202}, {165, 199}, {36, 70},
{297, 331}, {300, 334}, {309, 343}, {312, 346}, {36, 71}, {180, 215}, {168,
203}, {300, 335}, {312, 347}, {35, 71}, {179, 215}, {170, 206}, {169, 205}, {61,
89}, {289, 325}, {290, 326}, {299, 335}, {313, 349}, {314, 350}, {33, 68}, {177,
212}, {160, 197}, {61, 88}, {297, 332}, {304, 341}, {62, 88}, {164, 194}, {160,
198}, {304, 342}, {308, 338}, {163, 196}, {170, 205}, {164, 195}, {290, 325},
{307, 340}, {308, 339}, {314, 349}, {161, 201}, {162, 202}, {293, 333}, {294,
334}, {305, 345}, {306, 346}, {289, 328}, {291, 329}, {35, 72}, {179, 216},
{167, 204}, {162, 201}, {294, 333}, {306, 345}, {311, 348}, {62, 82}, {167,
203}, {63, 83}, {311, 347}, {48, 93}, {165, 200}, {161, 204}, {63, 82}, {292,
329}, {305, 348}, {309, 344}, {292, 330}, {296, 326}, {291, 332}, {295, 328},
{296, 327}, {43, 91}, {58, 74}, {56, 73}, {46, 92}, {47, 93}, {57, 75}, {47,
92}, {57, 74}, {173, 216}, {293, 336}, {40, 95}, {44, 91}, {60, 75}, {303, 344},
{38, 94}, {174, 214}, {173, 213}, {39, 95}, {54, 78}, {39, 94}, {169, 208}, {52,
77}, {301, 340}, {171, 209}, {303, 341}, {53, 78}, {174, 213}, {299, 336}, {49,
77}, {53, 73}, {301, 337}, {302, 338}, {49, 76}, {172, 209}, {50, 76}, {176,
206}, {172, 210}, {171, 212}, {176, 207}, {175, 208}, {302, 337}, {109, 173},
{325, 389}, {109, 172}, {325, 388}, {110, 172}, {326, 388}, {110, 166}, {111,
167}, {122, 178}, {123, 179}, {329, 385}, {111, 166}, {123, 178}, {126, 180},
{330, 384}, {127, 180}, {331, 384}, {330, 390}, {334, 386}, {328, 389}, {332,
385}, {333, 387}, {124, 179}, {329, 390}, {333, 386}, {115, 163}, {127, 175},
{343, 391}, {118, 164}, {347, 393}, {346, 392}, {119, 165}, {119, 164}, {347,
392}, {120, 171}, {336, 387}, {348, 393}, {87, 128}, {375, 416}, {112, 167},
{116, 163}, {89, 129}, {378, 418}, {377, 417}, {90, 130}, {113, 169}, {338,
394}, {339, 395}, {339, 394}, {114, 168}, {342, 396}, {90, 129}, {383, 420},
{378, 417}, {95, 132}, {115, 168}, {343, 396}, {95, 131}, {383, 419}, {114,
174}, {118, 170}, {89, 132}, {381, 416}, {377, 420}, {93, 128}, {112, 173},
{116, 169}, {120, 165}, {117, 171}, {113, 174}, {344, 391}, {117, 170}, {340,
395}, {103, 135}, {382, 414}, {379, 411}, {370, 402}, {367, 399}, {106, 138},
{106, 139}, {382, 415}, {370, 403}, {96, 130}, {381, 415}, {372, 406}, {369,
403}, {105, 139}, {108, 142}, {96, 131}, {372, 407}, {108, 143}, {97, 133},
{371, 407}, {362, 398}, {361, 397}, {98, 134}, {107, 143}, {105, 140}, {376,
413}, {369, 404}, {376, 414}, {380, 410}, {98, 133}, {380, 411}, {379, 412},
{362, 397}, {101, 141}, {102, 142}, {126, 150}, {97, 136}, {373, 412}, {124,
149}, {99, 137}, {375, 413}, {102, 141}, {371, 408}, {125, 150}, {121, 149},
{374, 410}, {373, 409}, {125, 145}, {100, 137}, {121, 148}, {100, 138}, {104,
134}, {122, 148}, {99, 140}, {374, 409}, {103, 136}, {104, 135}, {101, 144},
{365, 408}, {365, 405}, {366, 406}, {361, 400}, {363, 401}, {107, 144}, {366,
405}, {364, 401}, {364, 402}, {368, 398}, {363, 404}, {368, 399}, {367, 400},
{19, 403}, {31, 415}, {20, 406}, {21, 407}, {32, 418}, {33, 419}, {20, 407},
{27, 408}, {32, 419}, {33, 420}, {19, 404}, {23, 400}, {25, 401}, {24, 402},
{24, 403}, {26, 406}, {30, 402}, {21, 408}, {25, 404}, {29, 400}, {27, 405},
{26, 405}, {30, 401}, {29, 397}, {28, 397}, {28, 398}, {6, 414}, {22, 398}, {23,
399}, {5, 412}, {22, 399}, {6, 413}, {1, 413}, {5, 409}, {4, 409}, {4, 410}, {2,
418}, {14, 430}, {1, 416}, {13, 428}, {3, 417}, {15, 429}, {2, 417}, {11, 424},
{14, 429}, {13, 425}, {8, 430}, {9, 431}, {12, 426}, {3, 420}, {8, 431}, {12,
427}, {7, 428}, {7, 427}, {10, 422}, {11, 423}, {10, 423}, {17, 421}, {16, 421},
{16, 422}, {18, 426}, {34, 410}, {35, 411}, {9, 432}, {17, 424}, {34, 411}, {36,
414}, {18, 425}, {36, 415}, {15, 432}, {31, 416}, {35, 412}, {253, 317}, {253,
316}, {254, 316}, {254, 310}, {255, 311}, {255, 310}, {221, 264}, {245, 288},
{221, 261}, {222, 262}, {217, 256}, {219, 257}, {222, 261}, {251, 288}, {220,
257}, {220, 258}, {219, 260}, {223, 256}, {226, 258}, {235, 267}, {238, 270},
{247, 279}, {250, 282}, {226, 259}, {238, 271}, {250, 283}, {225, 259}, {228,
262}, {237, 271}, {240, 274}, {249, 283}, {252, 286}, {228, 263}, {240, 275},
{252, 287}, {227, 263}, {241, 277}, {242, 278}, {251, 287}, {225, 260}, {232,
269}, {249, 284}, {232, 270}, {236, 266}, {235, 268}, {236, 267}, {242, 277},
{245, 285}, {246, 286}, {229, 268}, {241, 280}, {231, 269}, {243, 281}, {227,
264}, {246, 285}, {229, 265}, {230, 266}, {244, 281}, {244, 282}, {248, 278},
{230, 265}, {243, 284}, {247, 280}, {248, 279}, {231, 272}, {233, 273}, {234,
274}, {234, 273}, {239, 276}, {239, 275}, {233, 276}, {237, 272} }>;
(II) A more general form is to represent the graph as the orbit of {144, 153}
under the group generated by the following permutations:
a: (2, 6)(3, 5)(7, 31)(8, 36)(9, 35)(10, 34)(11, 33)(12, 32)(13, 25)(14, 30)(15,
29)(16, 28)(17, 27)(18, 26)(20, 24)(21, 23)(37, 413)(38, 414)(39, 415)(40,
416)(41, 409)(42, 410)(43, 411)(44, 412)(45, 417)(46, 418)(47, 419)(48, 420)(49,
401)(50, 402)(51, 403)(52, 404)(53, 397)(54, 398)(55, 399)(56, 400)(57, 405)(58,
406)(59, 407)(60, 408)(61, 425)(62, 426)(63, 427)(64, 428)(65, 421)(66, 422)(67,
423)(68, 424)(69, 429)(70, 430)(71, 431)(72, 432)(73, 361)(74, 366)(75, 365)(76,
364)(77, 363)(78, 362)(79, 391)(80, 396)(81, 395)(82, 394)(83, 393)(84, 392)(85,
385)(86, 390)(87, 389)(88, 388)(89, 387)(90, 386)(91, 379)(92, 384)(93, 383)(94,
382)(95, 381)(96, 380)(97, 373)(98, 378)(99, 377)(100, 376)(101, 375)(102,
374)(103, 367)(104, 372)(105, 371)(106, 370)(107, 369)(108, 368)(109, 341)(110,
342)(111, 343)(112, 344)(113, 337)(114, 338)(115, 339)(116, 340)(117, 345)(118,
346)(119, 347)(120, 348)(121, 329)(122, 330)(123, 331)(124, 332)(125, 325)(126,
326)(127, 327)(128, 328)(129, 333)(130, 334)(131, 335)(132, 336)(133, 353)(134,
354)(135, 355)(136, 356)(137, 349)(138, 350)(139, 351)(140, 352)(141, 357)(142,
358)(143, 359)(144, 360)(145, 289)(146, 294)(147, 293)(148, 292)(149, 291)(150,
290)(151, 319)(152, 324)(153, 323)(154, 322)(155, 321)(156, 320)(157, 313)(158,
318)(159, 317)(160, 316)(161, 315)(162, 314)(163, 307)(164, 312)(165, 311)(166,
310)(167, 309)(168, 308)(169, 301)(170, 306)(171, 305)(172, 304)(173, 303)(174,
302)(175, 295)(176, 300)(177, 299)(178, 298)(179, 297)(180, 296)(181, 269)(182,
270)(183, 271)(184, 272)(185, 265)(186, 266)(187, 267)(188, 268)(189, 273)(190,
274)(191, 275)(192, 276)(193, 257)(194, 258)(195, 259)(196, 260)(197, 253)(198,
254)(199, 255)(200, 256)(201, 261)(202, 262)(203, 263)(204, 264)(205, 281)(206,
282)(207, 283)(208, 284)(209, 277)(210, 278)(211, 279)(212, 280)(213, 285)(214,
286)(215, 287)(216, 288)(218, 222)(219, 221)(223, 247)(224, 252)(225, 251)(226,
250)(227, 249)(228, 248)(229, 241)(230, 246)(231, 245)(232, 244)(233, 243)(234,
242)(236, 240)(237, 239) (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, 73)(2, 78)(3, 77)(4, 76)(5, 75)(6, 74)(7, 103)(8, 108)(9, 107)(10,
106)(11, 105)(12, 104)(13, 97)(14, 102)(15, 101)(16, 100)(17, 99)(18, 98)(19,
91)(20, 96)(21, 95)(22, 94)(23, 93)(24, 92)(25, 85)(26, 90)(27, 89)(28, 88)(29,
87)(30, 86)(31, 79)(32, 84)(33, 83)(34, 82)(35, 81)(36, 80)(37, 53)(38, 54)(39,
55)(40, 56)(41, 49)(42, 50)(43, 51)(44, 52)(45, 57)(46, 58)(47, 59)(48, 60)(61,
65)(62, 66)(63, 67)(64, 68)(109, 413)(110, 414)(111, 415)(112, 416)(113,
409)(114, 410)(115, 411)(116, 412)(117, 417)(118, 418)(119, 419)(120, 420)(121,
401)(122, 402)(123, 403)(124, 404)(125, 397)(126, 398)(127, 399)(128, 400)(129,
405)(130, 406)(131, 407)(132, 408)(133, 425)(134, 426)(135, 427)(136, 428)(137,
421)(138, 422)(139, 423)(140, 424)(141, 429)(142, 430)(143, 431)(144, 432)(145,
361)(146, 366)(147, 365)(148, 364)(149, 363)(150, 362)(151, 391)(152, 396)(153,
395)(154, 394)(155, 393)(156, 392)(157, 385)(158, 390)(159, 389)(160, 388)(161,
387)(162, 386)(163, 379)(164, 384)(165, 383)(166, 382)(167, 381)(168, 380)(169,
373)(170, 378)(171, 377)(172, 376)(173, 375)(174, 374)(175, 367)(176, 372)(177,
371)(178, 370)(179, 369)(180, 368)(181, 341)(182, 342)(183, 343)(184, 344)(185,
337)(186, 338)(187, 339)(188, 340)(189, 345)(190, 346)(191, 347)(192, 348)(193,
329)(194, 330)(195, 331)(196, 332)(197, 325)(198, 326)(199, 327)(200, 328)(201,
333)(202, 334)(203, 335)(204, 336)(205, 353)(206, 354)(207, 355)(208, 356)(209,
349)(210, 350)(211, 351)(212, 352)(213, 357)(214, 358)(215, 359)(216, 360)(217,
289)(218, 294)(219, 293)(220, 292)(221, 291)(222, 290)(223, 319)(224, 324)(225,
323)(226, 322)(227, 321)(228, 320)(229, 313)(230, 318)(231, 317)(232, 316)(233,
315)(234, 314)(235, 307)(236, 312)(237, 311)(238, 310)(239, 309)(240, 308)(241,
301)(242, 306)(243, 305)(244, 304)(245, 303)(246, 302)(247, 295)(248, 300)(249,
299)(250, 298)(251, 297)(252, 296)(253, 269)(254, 270)(255, 271)(256, 272)(257,
265)(258, 266)(259, 267)(260, 268)(261, 273)(262, 274)(263, 275)(264, 276)(277,
281)(278, 282)(279, 283)(280, 284)
c: (1, 2)(3, 6)(4, 5)(7, 8)(9, 12)(10, 11)(13, 14)(15, 18)(16, 17)(19, 20)(21,
24)(22, 23)(25, 26)(27, 30)(28, 29)(31, 32)(33, 36)(34, 35)(38, 40)(41, 45)(42,
48)(43, 47)(44, 46)(50, 52)(53, 57)(54, 60)(55, 59)(56, 58)(62, 64)(65, 69)(66,
72)(67, 71)(68, 70)(73, 74)(75, 78)(76, 77)(79, 80)(81, 84)(82, 83)(85, 86)(87,
90)(88, 89)(91, 92)(93, 96)(94, 95)(97, 98)(99, 102)(100, 101)(103, 104)(105,
108)(106, 107)(110, 112)(113, 117)(114, 120)(115, 119)(116, 118)(122, 124)(125,
129)(126, 132)(127, 131)(128, 130)(134, 136)(137, 141)(138, 144)(139, 143)(140,
142)(145, 146)(147, 150)(148, 149)(151, 152)(153, 156)(154, 155)(157, 158)(159,
162)(160, 161)(163, 164)(165, 168)(166, 167)(169, 170)(171, 174)(172, 173)(175,
176)(177, 180)(178, 179)(182, 184)(185, 189)(186, 192)(187, 191)(188, 190)(194,
196)(197, 201)(198, 204)(199, 203)(200, 202)(206, 208)(209, 213)(210, 216)(211,
215)(212, 214)(217, 218)(219, 222)(220, 221)(223, 224)(225, 228)(226, 227)(229,
230)(231, 234)(232, 233)(235, 236)(237, 240)(238, 239)(241, 242)(243, 246)(244,
245)(247, 248)(249, 252)(250, 251)(254, 256)(257, 261)(258, 264)(259, 263)(260,
262)(266, 268)(269, 273)(270, 276)(271, 275)(272, 274)(278, 280)(281, 285)(282,
288)(283, 287)(284, 286)(289, 290)(291, 294)(292, 293)(295, 296)(297, 300)(298,
299)(301, 302)(303, 306)(304, 305)(307, 308)(309, 312)(310, 311)(313, 314)(315,
318)(316, 317)(319, 320)(321, 324)(322, 323)(326, 328)(329, 333)(330, 336)(331,
335)(332, 334)(338, 340)(341, 345)(342, 348)(343, 347)(344, 346)(350, 352)(353,
357)(354, 360)(355, 359)(356, 358)(361, 362)(363, 366)(364, 365)(367, 368)(369,
372)(370, 371)(373, 374)(375, 378)(376, 377)(379, 380)(381, 384)(382, 383)(385,
386)(387, 390)(388, 389)(391, 392)(393, 396)(394, 395)(398, 400)(401, 405)(402,
408)(403, 407)(404, 406)(410, 412)(413, 417)(414, 420)(415, 419)(416, 418)(422,
424)(425, 429)(426, 432)(427, 431)(428, 430)
d: (2, 7)(3, 13)(4, 19)(5, 25)(6, 31)(9, 14)(10, 20)(11, 26)(12, 32)(16, 21)(17,
27)(18, 33)(23, 28)(24, 34)(30, 35)(37, 40)(38, 39)(41, 52)(42, 51)(43, 50)(44,
49)(45, 64)(46, 63)(47, 62)(48, 61)(53, 56)(54, 55)(57, 68)(58, 67)(59, 66)(60,
65)(69, 72)(70, 71)(74, 79)(75, 85)(76, 91)(77, 97)(78, 103)(81, 86)(82, 92)(83,
98)(84, 104)(88, 93)(89, 99)(90, 105)(95, 100)(96, 106)(102, 107)(109, 112)(110,
111)(113, 124)(114, 123)(115, 122)(116, 121)(117, 136)(118, 135)(119, 134)(120,
133)(125, 128)(126, 127)(129, 140)(130, 139)(131, 138)(132, 137)(141, 144)(142,
143)(146, 151)(147, 157)(148, 163)(149, 169)(150, 175)(153, 158)(154, 164)(155,
170)(156, 176)(160, 165)(161, 171)(162, 177)(167, 172)(168, 178)(174, 179)(181,
184)(182, 183)(185, 196)(186, 195)(187, 194)(188, 193)(189, 208)(190, 207)(191,
206)(192, 205)(197, 200)(198, 199)(201, 212)(202, 211)(203, 210)(204, 209)(213,
216)(214, 215)(218, 223)(219, 229)(220, 235)(221, 241)(222, 247)(225, 230)(226,
236)(227, 242)(228, 248)(232, 237)(233, 243)(234, 249)(239, 244)(240, 250)(246,
251)(253, 256)(254, 255)(257, 268)(258, 267)(259, 266)(260, 265)(261, 280)(262,
279)(263, 278)(264, 277)(269, 272)(270, 271)(273, 284)(274, 283)(275, 282)(276,
281)(285, 288)(286, 287)(290, 295)(291, 301)(292, 307)(293, 313)(294, 319)(297,
302)(298, 308)(299, 314)(300, 320)(304, 309)(305, 315)(306, 321)(311, 316)(312,
322)(318, 323)(325, 328)(326, 327)(329, 340)(330, 339)(331, 338)(332, 337)(333,
352)(334, 351)(335, 350)(336, 349)(341, 344)(342, 343)(345, 356)(346, 355)(347,
354)(348, 353)(357, 360)(358, 359)(362, 367)(363, 373)(364, 379)(365, 385)(366,
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0