C4graphGraph forms for C4 [ 512, 597 ] = SS[512,134]

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On this page are computer-accessible forms for the graph C4[ 512, 597 ] = SS[512,134].

(I) Following is a form readable by MAGMA:

g:=Graph<512|{ {6, 7}, {50, 51}, {234, 235}, {1, 3}, {1, 2}, {1, 5}, {499, 503}, {83, 87}, {50, 54}, {233, 237}, {1, 4}, {482, 487}, {144, 149}, {83, 86}, {82, 87}, {50, 52}, {83, 85}, {233, 239}, {234, 236}, {48, 55}, {50, 53}, {233, 238}, {49, 57}, {498, 506}, {84, 92}, {49, 56}, {501, 508}, {500, 509}, {481, 488}, {480, 489}, {146, 155}, {81, 88}, {48, 58}, {497, 507}, {496, 506}, {80, 91}, {480, 491}, {83, 88}, {6, 10}, {84, 89}, {499, 510}, {450, 463}, {145, 156}, {6, 8}, {502, 504}, {84, 90}, {6, 9}, {502, 505}, {501, 506}, {500, 507}, {482, 493}, {481, 494}, {148, 155}, {147, 156}, {84, 91}, {80, 95}, {228, 244}, {493, 509}, {492, 508}, {488, 504}, {11, 26}, {449, 464}, {448, 465}, {330, 347}, {326, 343}, {324, 341}, {137, 152}, {79, 94}, {224, 241}, {231, 246}, {10, 24}, {494, 508}, {138, 152}, {136, 154}, {79, 93}, {14, 28}, {224, 242}, {229, 247}, {231, 245}, {9, 26}, {79, 92}, {14, 29}, {13, 30}, {10, 25}, {232, 251}, {8, 28}, {495, 507}, {329, 349}, {46, 58}, {12, 24}, {11, 31}, {232, 252}, {8, 29}, {386, 407}, {323, 342}, {12, 25}, {226, 247}, {227, 246}, {9, 31}, {491, 509}, {330, 348}, {73, 95}, {47, 57}, {13, 27}, {227, 245}, {47, 56}, {329, 350}, {328, 351}, {324, 339}, {323, 340}, {78, 89}, {77, 90}, {228, 243}, {44, 52}, {45, 53}, {225, 249}, {234, 242}, {7, 30}, {385, 408}, {143, 150}, {46, 55}, {230, 255}, {231, 254}, {233, 240}, {76, 86}, {484, 510}, {132, 158}, {226, 248}, {231, 253}, {45, 54}, {386, 409}, {385, 410}, {384, 411}, {320, 347}, {142, 149}, {141, 150}, {140, 151}, {225, 250}, {232, 243}, {234, 241}, {7, 27}, {485, 505}, {384, 412}, {320, 348}, {139, 151}, {133, 153}, {230, 250}, {232, 244}, {67, 94}, {490, 503}, {483, 510}, {325, 344}, {322, 351}, {135, 154}, {131, 158}, {130, 159}, {229, 248}, {67, 93}, {489, 503}, {129, 159}, {75, 85}, {44, 51}, {487, 504}, {486, 505}, {326, 345}, {325, 346}, {134, 153}, {64, 95}, {230, 249}, {7, 39}, {402, 434}, {128, 160}, {68, 100}, {14, 46}, {71, 102}, {463, 494}, {455, 486}, {401, 432}, {395, 426}, {321, 352}, {131, 162}, {130, 163}, {77, 108}, {211, 242}, {214, 247}, {216, 249}, {129, 163}, {399, 429}, {12, 47}, {459, 488}, {458, 489}, {457, 490}, {402, 433}, {395, 424}, {322, 353}, {321, 354}, {66, 97}, {65, 98}, {13, 46}, {205, 238}, {206, 237}, {11, 47}, {399, 427}, {128, 164}, {66, 103}, {396, 425}, {333, 360}, {327, 354}, {78, 107}, {212, 241}, {132, 162}, {68, 99}, {334, 361}, {333, 362}, {327, 352}, {78, 105}, {77, 106}, {74, 98}, {398, 422}, {332, 356}, {76, 100}, {65, 104}, {473, 496}, {461, 484}, {397, 420}, {335, 358}, {334, 359}, {328, 353}, {75, 98}, {73, 96}, {69, 108}, {75, 97}, {335, 357}, {11, 32}, {475, 496}, {474, 497}, {473, 498}, {460, 487}, {452, 495}, {398, 421}, {396, 423}, {74, 97}, {64, 107}, {10, 38}, {13, 33}, {12, 32}, {70, 107}, {462, 483}, {456, 485}, {331, 358}, {144, 189}, {72, 101}, {213, 248}, {215, 250}, {222, 240}, {397, 419}, {331, 357}, {8, 39}, {478, 497}, {477, 498}, {332, 355}, {80, 127}, {76, 99}, {72, 103}, {71, 104}, {70, 105}, {69, 106}, {14, 33}, {9, 38}, {217, 246}, {218, 245}, {219, 244}, {220, 243}, {80, 96}, {472, 488}, {467, 483}, {390, 438}, {204, 252}, {221, 237}, {142, 191}, {468, 485}, {393, 440}, {389, 436}, {143, 190}, {204, 253}, {222, 239}, {76, 126}, {468, 486}, {204, 254}, {133, 182}, {479, 492}, {476, 495}, {451, 496}, {394, 441}, {393, 442}, {390, 437}, {336, 355}, {138, 185}, {137, 186}, {134, 181}, {221, 238}, {223, 236}, {203, 255}, {336, 356}, {223, 235}, {82, 103}, {479, 490}, {474, 495}, {338, 359}, {75, 125}, {389, 435}, {81, 102}, {467, 484}, {454, 497}, {453, 498}, {392, 447}, {140, 187}, {139, 188}, {82, 101}, {204, 251}, {81, 104}, {477, 484}, {476, 485}, {469, 492}, {466, 491}, {388, 445}, {337, 360}, {210, 235}, {337, 362}, {470, 493}, {469, 494}, {338, 361}, {400, 428}, {209, 236}, {478, 483}, {475, 486}, {471, 490}, {470, 491}, {465, 492}, {464, 493}, {394, 439}, {387, 446}, {400, 430}, {471, 489}, {401, 431}, {135, 184}, {472, 487}, {388, 443}, {387, 444}, {136, 183}, {207, 240}, {208, 239}, {44, 109}, {414, 479}, {44, 110}, {45, 111}, {301, 366}, {415, 476}, {302, 365}, {48, 117}, {407, 466}, {391, 450}, {314, 383}, {312, 381}, {48, 118}, {391, 449}, {49, 119}, {299, 364}, {408, 479}, {304, 375}, {300, 363}, {307, 379}, {392, 448}, {308, 380}, {49, 120}, {409, 464}, {408, 465}, {311, 382}, {294, 367}, {305, 378}, {406, 477}, {405, 478}, {306, 377}, {34, 110}, {35, 111}, {141, 192}, {290, 367}, {34, 109}, {404, 475}, {403, 476}, {42, 122}, {43, 123}, {32, 113}, {147, 194}, {146, 195}, {59, 106}, {41, 120}, {37, 116}, {288, 369}, {289, 368}, {291, 370}, {32, 114}, {33, 115}, {35, 112}, {406, 453}, {405, 454}, {63, 108}, {42, 121}, {295, 372}, {33, 116}, {410, 463}, {148, 193}, {145, 196}, {60, 105}, {36, 113}, {292, 369}, {293, 368}, {36, 114}, {37, 115}, {43, 124}, {415, 456}, {414, 457}, {413, 458}, {412, 459}, {411, 460}, {404, 451}, {403, 452}, {303, 376}, {61, 100}, {39, 124}, {62, 101}, {61, 102}, {296, 371}, {38, 122}, {39, 123}, {40, 117}, {62, 99}, {45, 112}, {40, 118}, {41, 119}, {38, 121}, {298, 373}, {63, 96}, {297, 374}, {60, 93}, {425, 456}, {319, 350}, {319, 349}, {281, 378}, {434, 465}, {433, 466}, {422, 453}, {421, 454}, {282, 377}, {59, 94}, {424, 461}, {317, 344}, {153, 254}, {430, 457}, {429, 458}, {428, 459}, {427, 460}, {420, 451}, {419, 452}, {416, 455}, {318, 345}, {317, 346}, {156, 251}, {155, 252}, {154, 253}, {150, 255}, {423, 462}, {318, 343}, {316, 341}, {285, 374}, {286, 373}, {287, 370}, {447, 466}, {426, 455}, {315, 342}, {279, 376}, {418, 461}, {417, 462}, {316, 339}, {315, 340}, {280, 375}, {283, 372}, {284, 371}, {51, 67}, {56, 72}, {52, 68}, {54, 71}, {441, 456}, {437, 452}, {436, 453}, {53, 70}, {58, 73}, {54, 69}, {55, 67}, {435, 454}, {440, 461}, {438, 451}, {407, 480}, {446, 457}, {445, 458}, {444, 459}, {443, 460}, {51, 74}, {439, 462}, {411, 482}, {277, 366}, {416, 475}, {410, 481}, {409, 482}, {278, 365}, {57, 69}, {256, 380}, {52, 73}, {442, 455}, {413, 480}, {412, 481}, {55, 74}, {53, 72}, {56, 70}, {58, 68}, {57, 71}, {257, 382}, {432, 463}, {431, 464}, {418, 477}, {417, 478}, {258, 381}, {275, 364}, {276, 363}, {267, 395}, {268, 396}, {265, 392}, {261, 390}, {262, 389}, {263, 388}, {269, 398}, {270, 397}, {273, 402}, {274, 401}, {27, 147}, {28, 148}, {259, 394}, {27, 145}, {264, 387}, {29, 144}, {260, 393}, {266, 391}, {28, 146}, {26, 138}, {88, 200}, {85, 197}, {30, 143}, {25, 139}, {26, 137}, {86, 197}, {30, 141}, {29, 142}, {25, 140}, {31, 136}, {31, 135}, {347, 450}, {92, 198}, {347, 449}, {24, 133}, {91, 198}, {90, 199}, {24, 134}, {350, 448}, {89, 199}, {87, 200}, {271, 400}, {272, 399}, {101, 192}, {59, 146}, {107, 194}, {106, 195}, {63, 148}, {60, 145}, {367, 450}, {108, 193}, {105, 196}, {368, 449}, {369, 448}, {61, 142}, {62, 141}, {309, 385}, {310, 386}, {61, 138}, {63, 136}, {62, 137}, {60, 133}, {313, 384}, {59, 134}, {322, 511}, {321, 511}, {355, 418}, {355, 417}, {119, 180}, {378, 441}, {377, 442}, {370, 433}, {369, 434}, {111, 171}, {109, 168}, {357, 416}, {111, 170}, {64, 135}, {119, 176}, {118, 177}, {117, 178}, {66, 139}, {110, 167}, {109, 166}, {374, 445}, {373, 446}, {366, 421}, {365, 422}, {123, 176}, {122, 177}, {121, 178}, {120, 179}, {110, 165}, {65, 140}, {370, 447}, {66, 143}, {77, 130}, {376, 439}, {375, 440}, {372, 443}, {371, 444}, {364, 419}, {363, 420}, {124, 179}, {123, 180}, {79, 128}, {78, 129}, {65, 144}, {82, 131}, {64, 147}, {378, 425}, {377, 426}, {124, 175}, {81, 132}, {354, 439}, {114, 167}, {104, 189}, {96, 183}, {122, 173}, {121, 174}, {120, 175}, {114, 165}, {113, 166}, {115, 171}, {116, 172}, {98, 187}, {365, 436}, {364, 437}, {353, 440}, {115, 170}, {113, 168}, {112, 169}, {103, 190}, {102, 191}, {99, 186}, {117, 174}, {374, 429}, {373, 430}, {354, 441}, {353, 442}, {352, 443}, {127, 164}, {118, 173}, {112, 172}, {381, 417}, {125, 161}, {97, 188}, {366, 435}, {363, 438}, {352, 445}, {116, 169}, {100, 185}, {382, 416}, {126, 161}, {381, 418}, {376, 423}, {375, 424}, {372, 427}, {371, 428}, {368, 431}, {367, 432}, {127, 160}, {125, 157}, {350, 447}, {383, 414}, {382, 415}, {351, 446}, {383, 413}, {126, 157}, {351, 444}, {342, 434}, {341, 432}, {95, 184}, {342, 433}, {348, 437}, {380, 405}, {349, 436}, {348, 438}, {93, 182}, {94, 181}, {379, 406}, {349, 435}, {379, 404}, {380, 403}, {339, 419}, {340, 421}, {361, 408}, {359, 406}, {345, 424}, {340, 422}, {344, 427}, {362, 409}, {361, 410}, {359, 404}, {346, 425}, {345, 426}, {344, 429}, {339, 420}, {343, 430}, {356, 413}, {341, 431}, {358, 412}, {357, 415}, {356, 414}, {343, 428}, {360, 403}, {346, 423}, {362, 407}, {360, 405}, {358, 411}, {40, 315}, {40, 316}, {41, 317}, {42, 319}, {41, 318}, {16, 315}, {16, 316}, {15, 318}, {15, 317}, {17, 337}, {18, 336}, {17, 338}, {19, 336}, {20, 337}, {20, 338}, {21, 325}, {22, 324}, {21, 326}, {19, 327}, {130, 470}, {129, 469}, {22, 323}, {128, 471}, {22, 334}, {21, 332}, {23, 334}, {23, 333}, {131, 473}, {19, 328}, {23, 332}, {22, 333}, {19, 335}, {23, 331}, {18, 335}, {20, 329}, {20, 330}, {132, 474}, {21, 331}, {34, 323}, {243, 402}, {37, 327}, {235, 392}, {35, 326}, {244, 401}, {245, 400}, {34, 324}, {35, 325}, {43, 322}, {237, 388}, {239, 390}, {42, 320}, {43, 321}, {236, 391}, {36, 329}, {37, 328}, {238, 387}, {36, 330}, {248, 396}, {240, 389}, {249, 398}, {250, 397}, {246, 399}, {251, 385}, {241, 394}, {242, 393}, {247, 395}, {253, 384}, {252, 386}, {176, 304}, {254, 383}, {86, 468}, {88, 474}, {91, 472}, {255, 379}, {167, 290}, {85, 467}, {167, 288}, {168, 289}, {173, 292}, {92, 471}, {174, 293}, {173, 294}, {89, 469}, {90, 470}, {174, 291}, {87, 473}, {179, 295}, {149, 256}, {160, 309}, {151, 258}, {184, 301}, {189, 296}, {191, 298}, {160, 310}, {152, 257}, {178, 299}, {181, 300}, {183, 302}, {185, 288}, {186, 291}, {187, 290}, {188, 293}, {190, 295}, {179, 296}, {175, 306}, {177, 300}, {180, 297}, {182, 299}, {185, 292}, {187, 294}, {188, 289}, {175, 305}, {180, 298}, {176, 303}, {177, 302}, {178, 301}, {149, 308}, {181, 276}, {183, 278}, {189, 284}, {191, 286}, {153, 314}, {154, 313}, {150, 307}, {159, 314}, {182, 275}, {186, 287}, {190, 283}, {158, 312}, {159, 313}, {127, 472}, {156, 309}, {158, 311}, {157, 308}, {126, 468}, {161, 267}, {164, 271}, {162, 270}, {155, 310}, {161, 268}, {184, 277}, {125, 467}, {157, 307}, {151, 312}, {162, 269}, {152, 311}, {163, 274}, {165, 276}, {163, 273}, {169, 283}, {165, 278}, {171, 280}, {166, 277}, {164, 272}, {170, 286}, {166, 275}, {172, 281}, {169, 284}, {172, 282}, {168, 287}, {170, 285}, {171, 279}, {197, 260}, {198, 263}, {202, 267}, {201, 269}, {205, 264}, {197, 259}, {201, 271}, {202, 268}, {209, 279}, {201, 270}, {210, 282}, {203, 258}, {206, 263}, {207, 262}, {209, 280}, {217, 272}, {219, 274}, {203, 257}, {203, 256}, {210, 281}, {211, 287}, {199, 266}, {200, 261}, {208, 285}, {220, 273}, {198, 264}, {199, 265}, {200, 262}, {208, 286}, {207, 284}, {207, 283}, {194, 279}, {208, 261}, {216, 269}, {218, 271}, {211, 260}, {212, 259}, {224, 311}, {202, 274}, {205, 277}, {206, 278}, {224, 312}, {193, 280}, {195, 282}, {201, 272}, {213, 268}, {215, 270}, {206, 276}, {202, 273}, {209, 266}, {210, 265}, {192, 285}, {196, 281}, {214, 267}, {205, 275}, {228, 260}, {17, 499}, {16, 500}, {221, 313}, {229, 257}, {16, 501}, {227, 262}, {18, 500}, {225, 263}, {227, 261}, {230, 256}, {17, 502}, {18, 501}, {221, 314}, {228, 259}, {229, 258}, {226, 266}, {192, 297}, {223, 310}, {225, 264}, {222, 308}, {223, 309}, {219, 304}, {226, 265}, {194, 303}, {220, 305}, {222, 307}, {220, 306}, {216, 296}, {193, 304}, {195, 306}, {213, 292}, {218, 299}, {211, 289}, {213, 294}, {214, 293}, {212, 288}, {219, 303}, {2, 503}, {196, 305}, {214, 291}, {217, 300}, {212, 290}, {217, 302}, {218, 301}, {3, 507}, {4, 508}, {15, 502}, {5, 511}, {2, 510}, {15, 499}, {5, 505}, {2, 511}, {5, 504}, {215, 298}, {3, 509}, {4, 506}, {215, 297}, {216, 295}, {3, 512}, {4, 512}, {319, 512}, {320, 512} }>;

(II) A more general form is to represent the graph as the orbit of {6, 7} under the group generated by the following permutations:

a: (2, 4)(3, 5)(7, 10)(8, 9)(11, 14)(12, 13)(15, 16)(17, 18)(19, 20)(21, 22)(24, 30)(25, 27)(26, 28)(29, 31)(32, 33)(34, 35)(36, 37)(38, 39)(40, 41)(42, 43)(44, 45)(46, 47)(48, 49)(51, 53)(52, 54)(55, 56)(57, 58)(59, 62)(60, 66)(61, 63)(64, 65)(67, 72)(68, 69)(70, 74)(71, 73)(75, 78)(76, 77)(79, 82)(80, 81)(83, 84)(85, 89)(86, 90)(87, 92)(88, 91)(93, 103)(94, 101)(95, 104)(96, 102)(97, 105)(98, 107)(99, 106)(100, 108)(109, 112)(110, 111)(113, 116)(114, 115)(117, 120)(118, 119)(121, 124)(122, 123)(125, 129)(126, 130)(127, 132)(128, 131)(133, 143)(134, 141)(135, 144)(136, 142)(137, 146)(138, 148)(139, 145)(140, 147)(149, 154)(150, 153)(151, 156)(152, 155)(157, 159)(158, 160)(161, 163)(162, 164)(165, 170)(166, 169)(167, 171)(168, 172)(173, 176)(174, 175)(177, 180)(178, 179)(181, 192)(182, 190)(183, 191)(184, 189)(185, 193)(186, 195)(187, 194)(188, 196)(197, 199)(198, 200)(203, 204)(205, 207)(206, 208)(209, 212)(210, 211)(213, 219)(214, 220)(215, 217)(216, 218)(221, 222)(223, 224)(225, 227)(226, 228)(229, 232)(230, 231)(235, 242)(236, 241)(237, 239)(238, 240)(243, 247)(244, 248)(245, 249)(246, 250)(251, 258)(252, 257)(253, 256)(254, 255)(259, 266)(260, 265)(261, 263)(262, 264)(267, 273)(268, 274)(269, 271)(270, 272)(275, 283)(276, 285)(277, 284)(278, 286)(279, 290)(280, 288)(281, 289)(282, 287)(291, 306)(292, 304)(293, 305)(294, 303)(295, 299)(296, 301)(297, 300)(298, 302)(307, 314)(308, 313)(309, 312)(310, 311)(315, 318)(316, 317)(319, 322)(320, 321)(323, 326)(324, 325)(327, 330)(328, 329)(331, 333)(332, 334)(335, 337)(336, 338)(339, 344)(340, 343)(341, 346)(342, 345)(347, 354)(348, 352)(349, 351)(350, 353)(355, 361)(356, 359)(357, 362)(358, 360)(363, 374)(364, 372)(365, 373)(366, 371)(367, 376)(368, 378)(369, 375)(370, 377)(379, 383)(380, 384)(381, 385)(382, 386)(387, 389)(388, 390)(391, 394)(392, 393)(395, 402)(396, 401)(397, 399)(398, 400)(403, 411)(404, 413)(405, 412)(406, 414)(407, 416)(408, 418)(409, 415)(410, 417)(419, 427)(420, 429)(421, 428)(422, 430)(423, 432)(424, 434)(425, 431)(426, 433)(435, 444)(436, 446)(437, 443)(438, 445)(439, 450)(440, 448)(441, 449)(442, 447)(451, 458)(452, 460)(453, 457)(454, 459)(455, 466)(456, 464)(461, 465)(462, 463)(467, 469)(468, 470)(471, 473)(472, 474)(475, 480)(476, 482)(477, 479)(478, 481)(483, 494)(484, 492)(485, 493)(486, 491)(487, 495)(488, 497)(489, 496)(490, 498)(499, 501)(500, 502)(503, 506)(504, 507)(505, 509)(508, 510)(511, 512)
b: (1, 17)(2, 499)(3, 338)(4, 337)(5, 502)(6, 47)(7, 57)(8, 56)(9, 11)(10, 12)(13, 54)(14, 53)(15, 511)(16, 22)(18, 23)(19, 21)(20, 512)(27, 69)(28, 70)(29, 72)(30, 71)(32, 38)(33, 45)(34, 40)(35, 37)(36, 42)(39, 49)(41, 43)(44, 48)(46, 50)(51, 55)(52, 58)(59, 60)(61, 62)(63, 64)(65, 66)(77, 156)(78, 155)(81, 150)(82, 149)(83, 157)(84, 160)(85, 125)(86, 126)(87, 308)(88, 307)(89, 310)(90, 309)(91, 127)(92, 128)(93, 94)(95, 96)(97, 98)(99, 100)(101, 142)(102, 141)(103, 144)(104, 143)(105, 146)(106, 145)(107, 148)(108, 147)(109, 118)(110, 117)(111, 115)(112, 116)(113, 122)(114, 121)(119, 123)(120, 124)(129, 252)(130, 251)(131, 256)(132, 255)(133, 134)(135, 136)(137, 138)(139, 140)(158, 203)(159, 204)(161, 197)(162, 230)(163, 232)(164, 198)(165, 178)(166, 177)(167, 174)(168, 173)(181, 182)(183, 184)(185, 186)(187, 188)(189, 190)(191, 192)(193, 194)(195, 196)(199, 223)(200, 222)(201, 225)(202, 228)(205, 217)(206, 218)(211, 213)(212, 214)(221, 231)(224, 229)(226, 234)(227, 233)(235, 265)(236, 266)(237, 245)(238, 246)(239, 261)(240, 262)(241, 247)(242, 248)(243, 273)(244, 274)(249, 269)(250, 270)(253, 313)(254, 314)(257, 311)(258, 312)(259, 267)(260, 268)(263, 271)(264, 272)(275, 300)(276, 299)(277, 302)(278, 301)(279, 280)(281, 282)(283, 284)(285, 286)(287, 292)(288, 291)(289, 294)(290, 293)(295, 296)(297, 298)(303, 304)(305, 306)(315, 323)(316, 324)(317, 322)(318, 321)(319, 329)(320, 330)(325, 328)(326, 327)(331, 335)(332, 336)(333, 501)(334, 500)(343, 352)(344, 351)(345, 354)(346, 353)(359, 507)(360, 506)(361, 509)(362, 508)(363, 364)(365, 366)(367, 368)(369, 370)(371, 372)(373, 374)(375, 376)(377, 378)(379, 474)(380, 473)(385, 470)(386, 469)(387, 399)(388, 400)(393, 396)(394, 395)(403, 496)(404, 495)(405, 498)(406, 497)(407, 492)(408, 491)(409, 494)(410, 493)(411, 412)(413, 414)(415, 416)(417, 418)(419, 420)(421, 422)(423, 440)(424, 439)(425, 442)(426, 441)(427, 444)(428, 443)(429, 446)(430, 445)(431, 432)(433, 434)(435, 436)(437, 438)(447, 448)(449, 450)(451, 452)(453, 454)(455, 456)(457, 458)(459, 460)(461, 462)(463, 464)(465, 466)(475, 476)(477, 478)(479, 480)(481, 482)(483, 484)(485, 486)(487, 488)(489, 490)
c: (2, 5)(9, 10)(11, 12)(24, 31)(25, 26)(51, 52)(55, 58)(59, 63)(60, 64)(61, 65)(62, 66)(67, 73)(68, 74)(75, 76)(79, 80)(85, 86)(91, 92)(93, 95)(94, 96)(97, 99)(98, 100)(101, 103)(102, 104)(105, 107)(106, 108)(111, 112)(115, 116)(119, 120)(123, 124)(125, 126)(127, 128)(133, 135)(134, 136)(137, 139)(138, 140)(141, 143)(142, 144)(145, 147)(146, 148)(151, 152)(153, 154)(169, 170)(171, 172)(175, 176)(179, 180)(181, 183)(182, 184)(185, 187)(186, 188)(189, 191)(190, 192)(193, 195)(194, 196)(207, 208)(209, 210)(215, 216)(219, 220)(235, 236)(239, 240)(243, 244)(249, 250)(253, 254)(257, 258)(261, 262)(265, 266)(269, 270)(273, 274)(275, 277)(276, 278)(279, 281)(280, 282)(283, 285)(284, 286)(287, 289)(288, 290)(291, 293)(292, 294)(295, 297)(296, 298)(299, 301)(300, 302)(303, 305)(304, 306)(311, 312)(313, 314)(315, 316)(319, 320)(323, 324)(329, 330)(331, 332)(335, 336)(339, 340)(341, 342)(347, 350)(348, 349)(355, 357)(356, 358)(363, 365)(364, 366)(367, 369)(368, 370)(371, 373)(372, 374)(375, 377)(376, 378)(381, 382)(383, 384)(389, 390)(391, 392)(397, 398)(401, 402)(403, 405)(404, 406)(407, 409)(408, 410)(411, 413)(412, 414)(415, 417)(416, 418)(419, 421)(420, 422)(423, 425)(424, 426)(427, 429)(428, 430)(431, 433)(432, 434)(435, 437)(436, 438)(439, 441)(440, 442)(443, 445)(444, 446)(447, 449)(448, 450)(451, 453)(452, 454)(455, 461)(456, 462)(457, 459)(458, 460)(463, 465)(464, 466)(467, 468)(471, 472)(475, 477)(476, 478)(479, 481)(480, 482)(483, 485)(484, 486)(487, 489)(488, 490)(491, 493)(492, 494)(495, 497)(496, 498)(499, 502)(503, 504)(505, 510)
d: (1, 15)(2, 499)(3, 318)(4, 317)(5, 502)(6, 32)(7, 114)(8, 113)(9, 11)(10, 12)(13, 110)(14, 109)(16, 35)(17, 511)(18, 21)(19, 23)(20, 43)(22, 37)(27, 165)(28, 166)(29, 168)(30, 167)(33, 34)(36, 39)(38, 47)(40, 45)(41, 512)(42, 49)(44, 46)(48, 50)(51, 55)(52, 58)(53, 118)(54, 117)(56, 122)(57, 121)(59, 182)(60, 181)(61, 186)(62, 185)(63, 184)(64, 183)(65, 188)(66, 187)(69, 178)(70, 177)(71, 174)(72, 173)(77, 218)(78, 217)(81, 214)(82, 213)(83, 161)(84, 164)(85, 125)(86, 126)(87, 268)(88, 267)(89, 272)(90, 271)(91, 127)(92, 128)(93, 94)(95, 96)(97, 98)(99, 100)(101, 292)(102, 291)(103, 294)(104, 293)(105, 300)(106, 299)(107, 302)(108, 301)(111, 315)(112, 316)(115, 323)(116, 324)(119, 319)(120, 320)(123, 329)(124, 330)(129, 246)(130, 245)(131, 248)(132, 247)(133, 134)(135, 136)(137, 138)(139, 140)(141, 288)(142, 287)(143, 290)(144, 289)(145, 276)(146, 275)(147, 278)(148, 277)(149, 211)(150, 212)(155, 205)(156, 206)(157, 197)(158, 229)(159, 231)(160, 198)(162, 226)(163, 227)(169, 341)(170, 342)(171, 340)(172, 339)(175, 348)(176, 349)(179, 347)(180, 350)(189, 368)(190, 367)(191, 370)(192, 369)(193, 366)(194, 365)(195, 364)(196, 363)(199, 201)(200, 202)(203, 224)(204, 221)(207, 401)(208, 402)(209, 398)(210, 397)(215, 392)(216, 391)(219, 389)(220, 390)(222, 228)(223, 225)(230, 234)(232, 233)(235, 250)(236, 249)(237, 251)(238, 252)(239, 243)(240, 244)(241, 255)(242, 256)(253, 313)(254, 314)(257, 311)(258, 312)(259, 307)(260, 308)(261, 273)(262, 274)(263, 309)(264, 310)(265, 270)(266, 269)(279, 422)(280, 421)(281, 420)(282, 419)(283, 432)(284, 431)(285, 434)(286, 433)(295, 450)(296, 449)(297, 448)(298, 447)(303, 436)(304, 435)(305, 438)(306, 437)(321, 338)(322, 337)(325, 501)(326, 500)(327, 334)(328, 333)(331, 335)(332, 336)(343, 509)(344, 508)(345, 507)(346, 506)(351, 362)(352, 361)(353, 360)(354, 359)(371, 464)(372, 463)(373, 466)(374, 465)(375, 454)(376, 453)(377, 452)(378, 451)(379, 394)(380, 393)(385, 388)(386, 387)(395, 474)(396, 473)(399, 469)(400, 470)(403, 442)(404, 441)(405, 440)(406, 439)(407, 446)(408, 445)(409, 444)(410, 443)(411, 412)(413, 414)(415, 416)(417, 418)(423, 498)(424, 497)(425, 496)(426, 495)(427, 494)(428, 493)(429, 492)(430, 491)(455, 476)(456, 475)(457, 480)(458, 479)(459, 482)(460, 481)(461, 478)(462, 477)(483, 484)(485, 486)(487, 488)(489, 490)
e: (3, 4)(7, 8)(13, 14)(27, 28)(29, 30)(53, 54)(56, 57)(59, 60)(61, 62)(63, 64)(65, 66)(69, 70)(71, 72)(77, 78)(81, 82)(87, 88)(89, 90)(93, 94)(95, 96)(97, 98)(99, 100)(101, 102)(103, 104)(105, 106)(107, 108)(109, 110)(113, 114)(117, 118)(121, 122)(129, 130)(131, 132)(133, 134)(135, 136)(137, 138)(139, 140)(141, 142)(143, 144)(145, 146)(147, 148)(149, 150)(155, 156)(165, 166)(167, 168)(173, 174)(177, 178)(181, 182)(183, 184)(185, 186)(187, 188)(189, 190)(191, 192)(193, 194)(195, 196)(205, 206)(211, 212)(213, 214)(217, 218)(237, 238)(241, 242)(245, 246)(247, 248)(251, 252)(255, 256)(259, 260)(263, 264)(267, 268)(271, 272)(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)(317, 318)(321, 322)(325, 326)(327, 328)(333, 334)(337, 338)(343, 344)(345, 346)(351, 352)(353, 354)(359, 360)(361, 362)(363, 364)(365, 366)(367, 368)(369, 370)(371, 372)(373, 374)(375, 376)(377, 378)(379, 380)(385, 386)(387, 388)(393, 394)(395, 396)(399, 400)(403, 404)(405, 406)(407, 408)(409, 410)(411, 412)(413, 414)(415, 416)(417, 418)(419, 420)(421, 422)(423, 424)(425, 426)(427, 428)(429, 430)(431, 432)(433, 434)(435, 436)(437, 438)(439, 440)(441, 442)(443, 444)(445, 446)(447, 448)(449, 450)(451, 452)(453, 454)(455, 456)(457, 458)(459, 460)(461, 462)(463, 464)(465, 466)(469, 470)(473, 474)(475, 476)(477, 478)(479, 480)(481, 482)(483, 484)(485, 486)(487, 488)(489, 490)(491, 492)(493, 494)(495, 496)(497, 498)(500, 501)(506, 507)(508, 509)
f: (1, 24, 23, 73)(2, 12, 331, 58)(3, 133, 334, 96)(4, 134, 333, 95)(5, 10, 332, 52)(6, 355, 50, 505)(7, 418, 54, 485)(8, 417, 53, 486)(9, 336, 51, 502)(11, 335, 55, 499)(13, 484, 57, 415)(14, 483, 56, 416)(15, 26, 19, 74)(16, 79, 20, 154)(17, 31, 18, 67)(21, 68, 511, 25)(22, 80, 512, 153)(27, 477, 69, 476)(28, 478, 70, 475)(29, 462, 72, 455)(30, 461, 71, 456)(32, 358, 48, 503)(33, 467, 49, 382)(34, 472, 42, 383)(35, 76, 43, 151)(36, 384, 40, 471)(37, 75, 41, 152)(38, 356, 44, 504)(39, 381, 45, 468)(46, 510, 47, 357)(59, 360, 64, 506)(60, 359, 63, 507)(61, 354, 66, 345)(62, 353, 65, 346)(77, 452, 156, 453)(78, 451, 155, 454)(81, 378, 150, 375)(82, 377, 149, 376)(83, 175, 203, 171)(84, 348, 204, 340)(85, 120, 257, 115)(86, 124, 258, 111)(87, 306, 256, 279)(88, 305, 255, 280)(89, 438, 252, 421)(90, 437, 251, 422)(91, 320, 254, 323)(92, 330, 253, 315)(93, 338, 136, 500)(94, 337, 135, 501)(97, 318, 138, 327)(98, 317, 137, 328)(99, 322, 140, 325)(100, 321, 139, 326)(101, 442, 144, 423)(102, 441, 143, 424)(103, 426, 142, 439)(104, 425, 141, 440)(105, 404, 148, 497)(106, 403, 147, 498)(107, 496, 146, 405)(108, 495, 145, 406)(109, 488, 122, 413)(110, 487, 121, 414)(112, 126, 123, 312)(113, 412, 118, 489)(114, 411, 117, 490)(116, 125, 119, 311)(127, 319, 314, 324)(128, 329, 313, 316)(129, 420, 310, 435)(130, 419, 309, 436)(131, 282, 308, 303)(132, 281, 307, 304)(157, 176, 158, 172)(159, 339, 160, 349)(161, 180, 224, 169)(162, 210, 222, 219)(163, 397, 223, 389)(164, 350, 221, 341)(165, 482, 178, 479)(166, 481, 177, 480)(167, 460, 174, 457)(168, 459, 173, 458)(170, 197, 179, 229)(181, 362, 184, 508)(182, 361, 183, 509)(185, 352, 188, 343)(186, 351, 187, 344)(189, 396, 192, 393)(190, 395, 191, 394)(193, 474, 196, 379)(194, 473, 195, 380)(198, 347, 231, 342)(199, 390, 232, 398)(200, 220, 230, 209)(201, 392, 233, 401)(202, 215, 234, 207)(205, 463, 217, 466)(206, 464, 218, 465)(208, 228, 216, 226)(211, 371, 213, 374)(212, 372, 214, 373)(225, 391, 227, 402)(235, 240, 274, 270)(236, 262, 273, 250)(237, 431, 271, 448)(238, 432, 272, 447)(239, 244, 269, 265)(241, 283, 267, 298)(242, 284, 268, 297)(243, 249, 266, 261)(245, 434, 263, 449)(246, 433, 264, 450)(247, 286, 259, 295)(248, 285, 260, 296)(275, 410, 302, 491)(276, 409, 301, 492)(277, 494, 300, 407)(278, 493, 299, 408)(287, 444, 294, 429)(288, 443, 293, 430)(289, 428, 292, 445)(290, 427, 291, 446)(363, 386, 366, 469)(364, 385, 365, 470)(367, 399, 370, 387)(368, 400, 369, 388)
g: (2, 4)(3, 5)(7, 10)(8, 9)(11, 14)(12, 13)(15, 16)(17, 18)(19, 20)(21, 22)(24, 27)(25, 30)(26, 29)(28, 31)(32, 33)(34, 35)(36, 37)(38, 39)(40, 41)(42, 43)(44, 45)(46, 47)(48, 49)(51, 53)(52, 54)(55, 56)(57, 58)(59, 64)(62, 65)(67, 70)(68, 71)(69, 73)(72, 74)(75, 82)(76, 81)(77, 80)(78, 79)(85, 87)(86, 88)(89, 92)(90, 91)(93, 105)(94, 107)(95, 106)(96, 108)(97, 103)(98, 101)(99, 104)(100, 102)(109, 112)(110, 111)(113, 116)(114, 115)(117, 120)(118, 119)(121, 124)(122, 123)(125, 131)(126, 132)(127, 130)(128, 129)(133, 145)(134, 147)(135, 146)(136, 148)(137, 144)(138, 142)(139, 143)(140, 141)(149, 152)(150, 151)(153, 156)(154, 155)(157, 158)(159, 160)(161, 162)(163, 164)(165, 171)(166, 172)(167, 170)(168, 169)(173, 180)(174, 179)(175, 178)(176, 177)(181, 194)(182, 196)(183, 193)(184, 195)(185, 191)(186, 189)(187, 192)(188, 190)(197, 200)(198, 199)(201, 202)(205, 210)(206, 209)(207, 211)(208, 212)(213, 215)(214, 216)(217, 219)(218, 220)(221, 223)(222, 224)(225, 226)(227, 228)(229, 230)(231, 232)(233, 234)(235, 238)(236, 237)(239, 241)(240, 242)(243, 245)(244, 246)(247, 249)(248, 250)(251, 254)(252, 253)(255, 258)(256, 257)(259, 261)(260, 262)(263, 266)(264, 265)(267, 269)(268, 270)(271, 273)(272, 274)(275, 281)(276, 279)(277, 282)(278, 280)(283, 289)(284, 287)(285, 290)(286, 288)(291, 296)(292, 298)(293, 295)(294, 297)(299, 305)(300, 303)(301, 306)(302, 304)(307, 312)(308, 311)(309, 314)(310, 313)(315, 318)(316, 317)(319, 322)(320, 321)(323, 326)(324, 325)(327, 330)(328, 329)(331, 333)(332, 334)(335, 337)(336, 338)(339, 346)(340, 345)(341, 344)(342, 343)(347, 352)(348, 354)(349, 353)(350, 351)(355, 359)(356, 361)(357, 360)(358, 362)(363, 376)(364, 378)(365, 375)(366, 377)(367, 374)(368, 372)(369, 373)(370, 371)(379, 381)(380, 382)(383, 385)(384, 386)(387, 392)(388, 391)(389, 393)(390, 394)(395, 398)(396, 397)(399, 401)(400, 402)(403, 415)(404, 417)(405, 416)(406, 418)(407, 412)(408, 414)(409, 411)(410, 413)(419, 425)(420, 423)(421, 426)(422, 424)(427, 431)(428, 433)(429, 432)(430, 434)(435, 442)(436, 440)(437, 441)(438, 439)(443, 449)(444, 447)(445, 450)(446, 448)(451, 462)(452, 456)(453, 461)(454, 455)(457, 465)(458, 463)(459, 466)(460, 464)(467, 473)(468, 474)(469, 471)(470, 472)(475, 478)(480, 481)(483, 496)(484, 498)(485, 495)(486, 497)(487, 493)(488, 491)(489, 494)(490, 492)(499, 501)(500, 502)(503, 508)(504, 509)(505, 507)(506, 510)(511, 512)
h: (1, 6)(2, 7, 5, 8)(3, 10, 4, 9)(11, 500, 12, 501)(13, 502, 14, 499)(15, 33)(16, 32)(17, 46)(18, 47)(19, 49)(20, 48)(21, 45)(22, 44)(23, 50)(24, 506, 31, 507)(25, 508, 26, 509)(27, 505, 28, 510)(29, 503, 30, 504)(36, 40)(37, 41)(38, 512)(39, 511)(51, 334, 52, 333)(53, 331, 54, 332)(55, 338, 58, 337)(56, 335, 57, 336)(59, 477, 64, 476)(60, 475, 63, 478)(61, 480, 66, 481)(62, 482, 65, 479)(67, 359, 73, 360)(68, 362, 74, 361)(69, 355, 70, 357)(71, 356, 72, 358)(75, 385, 76, 386)(77, 381, 78, 382)(79, 379, 80, 380)(81, 383, 82, 384)(83, 204)(84, 203)(85, 251, 86, 252)(87, 253, 88, 254)(89, 257, 90, 258)(91, 256, 92, 255)(93, 404, 96, 405)(94, 406, 95, 403)(97, 410, 100, 407)(98, 408, 99, 409)(101, 411, 104, 414)(102, 413, 103, 412)(105, 416, 108, 417)(106, 418, 107, 415)(109, 324, 110, 323)(111, 325, 112, 326)(113, 316, 114, 315)(115, 317, 116, 318)(117, 330, 118, 329)(119, 327, 120, 328)(121, 320, 122, 319)(123, 321, 124, 322)(125, 309, 126, 310)(127, 308, 128, 307)(129, 311, 130, 312)(131, 313, 132, 314)(133, 496, 136, 497)(134, 498, 135, 495)(137, 493, 140, 492)(138, 491, 139, 494)(141, 487, 144, 490)(142, 489, 143, 488)(145, 486, 148, 483)(146, 484, 147, 485)(149, 471, 150, 472)(151, 469, 152, 470)(153, 473, 154, 474)(155, 467, 156, 468)(157, 160)(158, 159)(161, 223)(162, 221)(163, 224)(164, 222)(165, 340, 166, 339)(167, 342, 168, 341)(169, 343, 170, 344)(171, 346, 172, 345)(173, 350, 174, 347)(175, 353, 176, 354)(177, 349, 178, 348)(179, 351, 180, 352)(181, 453, 184, 452)(182, 451, 183, 454)(185, 466, 188, 463)(186, 464, 187, 465)(189, 457, 192, 460)(190, 459, 191, 458)(193, 462, 196, 455)(194, 456, 195, 461)(197, 232)(198, 230)(199, 229)(200, 231)(201, 233)(202, 234)(205, 397, 206, 398)(207, 400, 208, 399)(209, 396, 210, 395)(211, 401, 212, 402)(213, 392, 214, 391)(215, 388, 216, 387)(217, 389, 218, 390)(219, 394, 220, 393)(235, 267, 236, 268)(237, 269, 238, 270)(239, 272, 240, 271)(241, 273, 242, 274)(243, 260, 244, 259)(245, 261, 246, 262)(247, 266, 248, 265)(249, 264, 250, 263)(275, 420, 278, 421)(276, 422, 277, 419)(279, 425, 282, 424)(280, 423, 281, 426)(283, 428, 286, 429)(284, 430, 285, 427)(287, 431, 290, 434)(288, 433, 289, 432)(291, 449, 294, 448)(292, 447, 293, 450)(295, 444, 298, 445)(296, 446, 297, 443)(299, 438, 302, 435)(300, 436, 301, 437)(303, 441, 306, 440)(304, 439, 305, 442)(363, 365, 366, 364)(367, 369, 370, 368)(371, 373, 374, 372)(375, 376, 378, 377)

(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[ 512, 597 ]
512
-1 2 3 4 5
-2 1 510 511 503
-3 1 507 509 512
-4 506 1 508 512
-5 1 511 504 505
-6 7 8 9 10
-7 27 6 39 30
-8 6 28 39 29
-9 26 38 6 31
-10 24 25 38 6
-11 47 26 31 32
-12 24 25 47 32
-13 33 46 27 30
-14 33 46 28 29
-15 499 502 317 318
-16 500 501 315 316
-17 499 337 502 338
-18 335 500 336 501
-19 335 336 327 328
-20 330 337 338 329
-21 331 332 325 326
-22 333 323 334 324
-23 331 332 333 334
-24 12 133 134 10
-25 12 139 140 10
-26 11 137 138 9
-27 13 145 147 7
-28 14 146 148 8
-29 144 14 8 142
-30 143 13 7 141
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-32 11 12 113 114
-33 13 14 115 116
-34 110 323 324 109
-35 111 112 325 326
-36 330 113 114 329
-37 115 116 327 328
-38 121 122 9 10
-39 123 124 7 8
-40 117 315 118 316
-41 119 317 120 318
-42 121 319 122 320
-43 123 321 124 322
-44 110 51 52 109
-45 111 112 53 54
-46 55 13 14 58
-47 11 12 56 57
-48 55 58 117 118
-49 56 57 119 120
-50 51 52 53 54
-51 44 67 50 74
-52 44 68 50 73
-53 45 70 50 72
-54 45 69 71 50
-55 67 46 48 74
-56 47 70 49 72
-57 47 69 49 71
-58 46 68 48 73
-59 134 146 94 106
-60 133 145 93 105
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-63 136 148 96 108
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-66 143 103 139 97
-67 55 93 94 51
-68 99 100 58 52
-69 57 106 108 54
-70 56 105 107 53
-71 57 102 104 54
-72 56 101 103 53
-73 58 95 52 96
-74 55 51 97 98
-75 125 85 97 98
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-80 91 127 95 96
-81 88 132 102 104
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-102 81 191 71 61
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-105 78 70 60 196
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-112 45 35 169 172
-113 166 36 168 32
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-116 33 37 169 172
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-118 177 48 40 173
-119 176 180 49 41
-120 179 49 41 175
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-131 473 158 82 162
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-133 24 60 182 153
-134 24 59 181 153
-135 154 184 31 64
-136 154 183 63 31
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-140 187 25 151 65
-141 192 62 150 30
-142 191 61 149 29
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-146 155 59 28 195
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-148 155 28 193 63
-149 308 144 256 142
-150 143 255 141 307
-151 312 258 139 140
-152 311 257 137 138
-153 133 254 134 314
-154 253 135 136 313
-155 310 146 148 252
-156 309 145 147 251
-157 308 125 126 307
-158 132 311 312 131
-159 313 314 129 130
-160 309 310 127 128
-161 267 125 268 126
-162 132 269 270 131
-163 129 130 273 274
-164 127 128 271 272
-165 110 276 278 114
-166 275 277 113 109
-167 110 288 114 290
-168 287 113 289 109
-169 112 116 283 284
-170 286 111 115 285
-171 111 279 115 280
-172 112 116 281 282
-173 122 292 118 294
-174 121 291 117 293
-175 124 305 306 120
-176 123 303 304 119
-177 122 300 302 118
-178 121 299 301 117
-179 124 295 120 296
-180 297 298 123 119
-181 276 134 300 94
-182 275 133 299 93
-183 278 136 302 96
-184 277 135 301 95
-185 100 288 138 292
-186 99 287 137 291
-187 290 140 294 98
-188 289 139 293 97
-189 144 104 284 296
-190 143 103 283 295
-191 286 298 102 142
-192 297 101 141 285
-193 148 280 304 108
-194 147 279 303 107
-195 146 106 282 306
-196 145 105 281 305
-197 259 260 85 86
-198 264 91 92 263
-199 89 265 90 266
-200 88 261 262 87
-201 269 270 271 272
-202 267 268 273 274
-203 255 256 257 258
-204 253 254 251 252
-205 264 275 277 238
-206 276 278 237 263
-207 283 240 262 284
-208 286 239 261 285
-209 266 279 236 280
-210 265 235 281 282
-211 242 287 289 260
-212 288 290 259 241
-213 268 248 292 294
-214 267 247 291 293
-215 297 298 270 250
-216 269 249 295 296
-217 300 246 302 272
-218 299 245 301 271
-219 244 303 304 274
-220 243 305 273 306
-221 313 237 314 238
-222 308 239 240 307
-223 309 310 235 236
-224 242 311 312 241
-225 264 249 250 263
-226 265 266 247 248
-227 245 246 261 262
-228 243 244 259 260
-229 257 247 258 248
-230 255 256 249 250
-231 253 254 245 246
-232 243 244 251 252
-233 237 238 239 240
-234 242 235 236 241
-235 210 223 234 392
-236 209 223 234 391
-237 221 233 388 206
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0

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