C4graphGraph forms for C4 [ 486, 7 ] = PS(18,27;5)

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On this page are computer-accessible forms for the graph C4[ 486, 7 ] = PS(18,27;5).

(I) Following is a form readable by MAGMA:

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

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

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

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