[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 432, 119 ] = UG(ATD[432,187]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {348, 350} under the group generated by the following permutations:

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

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

**************