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