[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 420, 14 ] = PS(30,28;5).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {42, 43} under the group generated by the following permutations:

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

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

**************