C4graphGraph forms for C4 [ 504, 164 ] = BGCG(MC3(6,14,1,3,3,0,1),C_3,1)

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On this page are computer-accessible forms for the graph C4[ 504, 164 ] = BGCG(MC3(6,14,1,3,3,0,1),C_3,1).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {72, 91} under the group generated by the following permutations:

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

(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[ 504, 164 ]
504
-1 88 451 85 450
-2 89 454 92 455
-3 93 458 96 459
-4 462 100 463 97
-5 101 466 104 467
-6 105 470 108 471
-7 474 112 475 109
-8 113 422 423 116
-9 117 426 427 120
-10 121 430 431 124
-11 125 434 435 128
-12 132 129 438 439
-13 133 442 443 136
-14 137 446 447 140
-15 490 491 85 86
-16 144 455 456 141
-17 495 93 94 494
-18 463 145 464 148
-19 101 102 498 499
-20 149 152 471 472
-21 110 502 503 109
-22 156 423 424 153
-23 478 479 117 118
-24 431 157 432 160
-25 125 126 482 483
-26 440 161 164 439
-27 133 134 486 487
-28 165 168 447 448
-29 138 139 491 492
-30 452 141 449 142
-31 495 496 90 91
-32 145 146 457 460
-33 99 499 500 98
-34 465 149 468 150
-35 106 107 503 504
-36 154 473 476 153
-37 114 115 479 480
-38 157 158 425 428
-39 484 122 123 483
-40 433 161 436 162
-41 487 488 130 131
-42 165 166 441 444
-43 137 138 437 438
-44 451 452 135 136
-45 89 90 445 446
-46 88 459 460 87
-47 453 454 97 98
-48 467 468 95 96
-49 462 105 106 461
-50 475 476 103 104
-51 113 114 469 470
-52 111 112 427 428
-53 121 122 421 422
-54 435 436 119 120
-55 429 430 129 130
-56 443 444 127 128
-57 440 151 437 152
-58 134 135 501 502
-59 155 156 445 448
-60 477 478 86 87
-61 453 159 456 160
-62 94 95 481 482
-63 464 163 164 461
-64 485 486 102 103
-65 167 168 469 472
-66 110 111 489 490
-67 143 144 421 424
-68 118 119 493 494
-69 429 432 147 148
-70 497 498 126 127
-71 150 151 449 450
-72 91 92 501 504
-73 154 155 457 458
-74 99 100 477 480
-75 465 158 466 159
-76 484 107 481 108
-77 473 474 162 163
-78 485 488 115 116
-79 166 167 425 426
-80 123 124 489 492
-81 143 433 434 142
-82 132 496 493 131
-83 441 442 146 147
-84 497 500 139 140
-85 1 221 15 235
-86 176 221 15 60
-87 176 46 190 60
-88 1 46 190 235
-89 45 2 247 206
-90 45 177 247 31
-91 220 177 72 31
-92 220 2 72 206
-93 3 223 17 237
-94 178 223 17 62
-95 178 48 192 62
-96 3 48 192 237
-97 47 4 249 208
-98 33 47 179 249
-99 33 222 179 74
-100 222 4 74 208
-101 211 5 225 19
-102 211 180 19 64
-103 180 50 194 64
-104 5 225 50 194
-105 210 49 6 251
-106 35 49 181 251
-107 35 224 181 76
-108 210 224 6 76
-109 213 7 227 21
-110 66 213 182 21
-111 66 182 52 196
-112 7 227 52 196
-113 198 51 8 239
-114 37 169 51 239
-115 78 212 37 169
-116 198 78 212 8
-117 23 215 9 229
-118 23 68 170 215
-119 68 170 184 54
-120 184 9 229 54
-121 200 53 10 241
-122 39 171 53 241
-123 80 214 39 171
-124 200 80 214 10
-125 11 231 25 217
-126 25 70 172 217
-127 56 70 172 186
-128 11 231 56 186
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-130 55 243 41 173
-131 82 216 41 173
-132 12 202 82 216
-133 13 233 27 219
-134 58 27 174 219
-135 44 188 58 174
-136 44 188 13 233
-137 14 245 204 43
-138 245 29 43 175
-139 29 84 218 175
-140 14 204 84 218
-141 242 16 30 228
-142 81 191 30 228
-143 67 81 191 205
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-145 244 18 32 230
-146 83 193 32 230
-147 69 83 193 207
-148 244 69 18 207
-149 34 232 246 20
-150 34 232 71 195
-151 209 57 71 195
-152 209 57 246 20
-153 22 36 234 248
-154 36 234 73 183
-155 59 73 183 197
-156 22 59 248 197
-157 24 38 236 250
-158 38 236 75 185
-159 199 61 75 185
-160 199 24 61 250
-161 26 40 238 252
-162 77 187 40 238
-163 77 187 201 63
-164 201 26 63 252
-165 28 226 42 240
-166 79 189 226 42
-167 79 189 203 65
-168 203 28 240 65
-169 253 256 114 115
-170 257 260 118 119
-171 264 122 123 261
-172 265 268 126 127
-173 269 272 130 131
-174 276 134 135 273
-175 277 280 138 139
-176 281 86 284 87
-177 90 288 91 285
-178 289 94 292 95
-179 99 293 98 296
-180 297 102 300 103
-181 301 106 304 107
-182 110 308 111 305
-183 154 253 155 254
-184 309 312 119 120
-185 158 159 261 262
-186 313 127 128 316
-187 269 270 162 163
-188 320 135 136 317
-189 166 167 277 278
-190 88 321 324 87
-191 143 286 142 285
-192 325 95 96 328
-193 146 147 293 294
-194 332 103 104 329
-195 301 302 150 151
-196 111 112 333 336
-197 155 156 306 307
-198 309 310 113 116
-199 159 258 160 259
-200 121 124 313 314
-201 266 267 163 164
-202 132 129 317 318
-203 275 167 168 274
-204 321 322 137 140
-205 143 144 282 283
-206 89 92 325 326
-207 147 290 148 291
-208 330 100 97 329
-209 298 299 151 152
-210 333 334 105 108
-211 101 102 305 306
-212 115 116 303 304
-213 110 257 258 109
-214 123 255 124 256
-215 265 266 117 118
-216 132 264 131 263
-217 125 126 273 274
-218 139 271 140 272
-219 133 134 281 282
-220 91 92 279 280
-221 289 290 85 86
-222 99 100 287 288
-223 297 298 93 94
-224 107 108 295 296
-225 319 320 101 104
-226 165 166 302 303
-227 112 323 324 109
-228 254 255 141 142
-229 117 327 328 120
-230 145 146 262 263
-231 331 332 125 128
-232 149 270 150 271
-233 133 136 335 336
-234 154 278 279 153
-235 88 311 312 85
-236 286 287 157 158
-237 93 315 96 316
-238 161 162 294 295
-239 319 113 114 318
-240 165 168 259 260
-241 121 122 322 323
-242 144 267 268 141
-243 326 129 327 130
-244 275 276 145 148
-245 330 331 137 138
-246 149 283 152 284
-247 89 90 334 335
-248 156 291 292 153
-249 310 311 97 98
-250 299 157 300 160
-251 105 314 106 315
-252 308 161 164 307
-253 169 389 183 403
-254 344 389 183 228
-255 344 214 358 228
-256 169 214 358 403
-257 374 213 170 415
-258 199 213 345 415
-259 199 388 345 240
-260 374 388 170 240
-261 171 391 185 405
-262 346 391 185 230
-263 346 216 360 230
-264 171 216 360 405
-265 376 215 172 417
-266 201 215 347 417
-267 242 201 390 347
-268 242 376 390 172
-269 187 379 173 393
-270 187 232 379 348
-271 232 348 218 362
-272 173 393 218 362
-273 419 378 217 174
-274 419 203 217 349
-275 244 203 392 349
-276 244 378 392 174
-277 189 381 175 395
-278 189 234 381 350
-279 220 364 234 350
-280 220 364 175 395
-281 176 407 366 219
-282 407 205 337 219
-283 246 380 205 337
-284 176 366 246 380
-285 177 397 191 383
-286 191 236 338 383
-287 352 222 236 338
-288 352 177 397 222
-289 221 178 409 368
-290 221 409 207 339
-291 248 382 207 339
-292 178 368 248 382
-293 385 179 399 193
-294 385 193 238 340
-295 354 224 238 340
-296 354 179 399 224
-297 223 180 411 370
-298 209 341 223 411
-299 209 341 250 384
-300 180 370 250 384
-301 387 181 401 195
-302 342 387 226 195
-303 342 212 356 226
-304 212 356 181 401
-305 211 182 413 372
-306 211 343 413 197
-307 386 343 197 252
-308 386 182 372 252
-309 198 396 410 184
-310 198 396 249 359
-311 235 249 359 373
-312 410 235 184 373
-313 200 398 412 186
-314 200 398 251 361
-315 375 237 251 361
-316 375 412 237 186
-317 188 202 400 414
-318 363 202 400 239
-319 363 377 225 239
-320 188 377 225 414
-321 190 204 402 416
-322 204 402 241 351
-323 365 227 241 351
-324 365 190 227 416
-325 418 192 206 404
-326 243 353 206 404
-327 243 353 367 229
-328 418 367 192 229
-329 420 194 208 406
-330 245 355 208 406
-331 231 245 355 369
-332 231 420 369 194
-333 210 408 196 394
-334 210 247 357 394
-335 233 247 357 371
-336 408 233 371 196
-337 421 424 282 283
-338 286 287 425 428
-339 429 432 290 291
-340 433 436 294 295
-341 440 298 299 437
-342 441 444 302 303
-343 445 448 306 307
-344 254 452 255 449
-345 453 258 456 259
-346 457 262 460 263
-347 266 464 267 461
-348 465 270 468 271
-349 275 469 274 472
-350 473 278 476 279
-351 322 421 323 422
-352 287 288 477 480
-353 429 430 326 327
-354 484 481 295 296
-355 330 331 437 438
-356 485 488 303 304
-357 334 335 445 446
-358 255 256 489 492
-359 310 453 311 454
-360 264 496 493 263
-361 462 314 315 461
-362 497 500 271 272
-363 319 469 470 318
-364 279 280 501 504
-365 474 475 323 324
-366 477 478 281 284
-367 327 426 328 427
-368 289 292 481 482
-369 331 332 434 435
-370 297 485 486 300
-371 442 443 335 336
-372 308 489 490 305
-373 451 311 312 450
-374 257 260 493 494
-375 315 458 316 459
-376 265 497 498 268
-377 319 320 466 467
-378 276 501 502 273
-379 473 474 269 270
-380 283 284 471 472
-381 277 278 425 426
-382 291 423 292 424
-383 286 433 434 285
-384 299 431 300 432
-385 441 442 293 294
-386 308 440 307 439
-387 301 302 449 450
-388 259 260 447 448
-389 253 254 457 458
-390 267 268 455 456
-391 465 466 261 262
-392 275 276 463 464
-393 487 488 269 272
-394 333 334 470 471
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0

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