C4graphGraph forms for C4 [ 500, 19 ] = MSZ(100,5,49,2)

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On this page are computer-accessible forms for the graph C4[ 500, 19 ] = MSZ(100,5,49,2).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

(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[ 500, 19 ]
500
-1 100 452 2 250
-2 451 1 353 3
-3 154 352 2 4
-4 255 3 5 153
-5 254 4 456 6
-6 455 5 357 7
-7 158 356 6 8
-8 157 259 7 9
-9 258 8 460 10
-10 11 459 9 361
-11 12 162 360 10
-12 11 13 161 263
-13 12 464 14 262
-14 463 13 365 15
-15 166 364 14 16
-16 165 267 15 17
-17 266 16 468 18
-18 467 17 369 19
-19 170 368 18 20
-20 169 271 19 21
-21 22 270 20 472
-22 23 471 21 373
-23 22 24 174 372
-24 275 23 25 173
-25 24 476 26 274
-26 475 25 377 27
-27 178 376 26 28
-28 177 279 27 29
-29 278 28 480 30
-30 479 29 381 31
-31 182 380 30 32
-32 33 181 283 31
-33 484 34 282 32
-34 33 385 35 483
-35 34 36 186 384
-36 287 35 37 185
-37 286 36 488 38
-38 487 37 389 39
-39 190 388 38 40
-40 189 291 39 41
-41 290 40 492 42
-42 491 41 393 43
-43 44 194 392 42
-44 45 193 295 43
-45 44 496 46 294
-46 495 45 397 47
-47 198 396 46 48
-48 299 47 49 197
-49 298 48 500 50
-50 301 499 49 51
-51 102 400 50 52
-52 101 203 51 53
-53 202 52 404 54
-54 55 403 305 53
-55 56 106 304 54
-56 55 57 105 207
-57 56 408 58 206
-58 407 309 57 59
-59 110 308 58 60
-60 211 59 61 109
-61 210 60 412 62
-62 411 313 61 63
-63 114 312 62 64
-64 113 215 63 65
-65 66 214 64 416
-66 67 415 317 65
-67 66 68 118 316
-68 67 69 117 219
-69 68 420 70 218
-70 419 321 69 71
-71 122 320 70 72
-72 121 223 71 73
-73 222 72 424 74
-74 423 325 73 75
-75 126 324 74 76
-76 77 125 227 75
-77 78 226 76 428
-78 77 79 427 329
-79 78 80 130 328
-80 231 79 81 129
-81 80 432 82 230
-82 431 333 81 83
-83 134 332 82 84
-84 133 235 83 85
-85 234 84 436 86
-86 435 337 85 87
-87 88 138 336 86
-88 89 137 239 87
-89 88 440 90 238
-90 341 89 91 439
-91 90 92 142 340
-92 243 91 93 141
-93 242 92 444 94
-94 443 345 93 95
-95 146 344 94 96
-96 145 247 95 97
-97 246 96 448 98
-98 99 447 349 97
-99 100 150 348 98
-100 99 1 149 251
-101 200 102 52 350
-102 101 453 103 51
-103 254 452 102 104
-104 253 355 103 105
-105 56 354 104 106
-106 55 105 457 107
-107 258 456 106 108
-108 257 359 107 109
-109 110 60 358 108
-110 111 59 109 461
-111 110 112 262 460
-112 363 111 113 261
-113 112 114 64 362
-114 113 465 115 63
-115 266 464 114 116
-116 265 367 115 117
-117 68 366 116 118
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0

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