C4graphGraph forms for C4 [ 486, 8 ] = PS(18,27;8)

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On this page are computer-accessible forms for the graph C4[ 486, 8 ] = PS(18,27;8).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {108, 109} under the group generated by the following permutations:

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

(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[ 486, 8 ]
486
-1 477 29 470 54
-2 478 28 30 471
-3 479 29 31 472
-4 473 480 30 32
-5 33 474 481 31
-6 34 475 482 32
-7 33 35 476 483
-8 484 34 36 477
-9 485 35 37 478
-10 486 36 38 479
-11 37 39 480 460
-12 38 40 481 461
-13 462 39 41 482
-14 463 40 42 483
-15 484 464 41 43
-16 44 485 465 42
-17 45 486 466 43
-18 44 46 467 460
-19 45 47 468 461
-20 462 46 48 469
-21 463 47 49 470
-22 464 48 50 471
-23 465 49 51 472
-24 473 466 50 52
-25 474 467 51 53
-26 475 468 52 54
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0

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