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On this page are computer-accessible forms for the graph C4[ 424, 8 ] = PX(53,3).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {8, 15} under the group generated by the following permutations:

a: (385, 386)(387, 388)(389, 390)(391, 392)(393, 395)(394, 396)(397, 399)(398, 400)(401, 405)(402, 406)(403, 407)(404, 408)
b: (65, 66)(67, 68)(69, 70)(71, 72)(73, 75)(74, 76)(77, 79)(78, 80)(81, 85)(82, 86)(83, 87)(84, 88)
c: (97, 98)(99, 100)(101, 102)(103, 104)(105, 107)(106, 108)(109, 111)(110, 112)(113, 117)(114, 118)(115, 119)(116, 120)
d: (129, 130)(131, 132)(133, 134)(135, 136)(137, 139)(138, 140)(141, 143)(142, 144)(145, 149)(146, 150)(147, 151)(148, 152)
e: (161, 162)(163, 164)(165, 166)(167, 168)(169, 171)(170, 172)(173, 175)(174, 176)(177, 181)(178, 182)(179, 183)(180, 184)
f: (289, 290)(291, 292)(293, 294)(295, 296)(297, 299)(298, 300)(301, 303)(302, 304)(305, 309)(306, 310)(307, 311)(308, 312)
g: (321, 322)(323, 324)(325, 326)(327, 328)(329, 331)(330, 332)(333, 335)(334, 336)(337, 341)(338, 342)(339, 343)(340, 344)
h: (353, 354)(355, 356)(357, 358)(359, 360)(361, 363)(362, 364)(365, 367)(366, 368)(369, 373)(370, 374)(371, 375)(372, 376)
m: (257, 258)(259, 260)(261, 262)(263, 264)(265, 267)(266, 268)(269, 271)(270, 272)(273, 277)(274, 278)(275, 279)(276, 280)
n1: (225, 226)(227, 228)(229, 230)(231, 232)(233, 235)(234, 236)(237, 239)(238, 240)(241, 245)(242, 246)(243, 247)(244, 248)
a1: (193, 194)(195, 196)(197, 198)(199, 200)(201, 203)(202, 204)(205, 207)(206, 208)(209, 213)(210, 214)(211, 215)(212, 216)
b1: (33, 34)(35, 36)(37, 38)(39, 40)(41, 43)(42, 44)(45, 47)(46, 48)(49, 53)(50, 54)(51, 55)(52, 56)
c1: (1, 2)(3, 4)(5, 6)(7, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 21)(18, 22)(19, 23)(20, 24)
d1: (401, 402)(403, 404)(405, 406)(407, 408)(409, 411)(410, 412)(413, 415)(414, 416)(417, 421)(418, 422)(419, 423)(420, 424)
e1: (49, 50)(51, 52)(53, 54)(55, 56)(57, 59)(58, 60)(61, 63)(62, 64)(65, 69)(66, 70)(67, 71)(68, 72)
f1: (81, 82)(83, 84)(85, 86)(87, 88)(89, 91)(90, 92)(93, 95)(94, 96)(97, 101)(98, 102)(99, 103)(100, 104)
g1: (113, 114)(115, 116)(117, 118)(119, 120)(121, 123)(122, 124)(125, 127)(126, 128)(129, 133)(130, 134)(131, 135)(132, 136)
h1: (145, 146)(147, 148)(149, 150)(151, 152)(153, 155)(154, 156)(157, 159)(158, 160)(161, 165)(162, 166)(163, 167)(164, 168)
m1: (305, 306)(307, 308)(309, 310)(311, 312)(313, 315)(314, 316)(317, 319)(318, 320)(321, 325)(322, 326)(323, 327)(324, 328)
n2: (337, 338)(339, 340)(341, 342)(343, 344)(345, 347)(346, 348)(349, 351)(350, 352)(353, 357)(354, 358)(355, 359)(356, 360)
a2: (369, 370)(371, 372)(373, 374)(375, 376)(377, 379)(378, 380)(381, 383)(382, 384)(385, 389)(386, 390)(387, 391)(388, 392)
b2: (273, 274)(275, 276)(277, 278)(279, 280)(281, 283)(282, 284)(285, 287)(286, 288)(289, 293)(290, 294)(291, 295)(292, 296)
c2: (241, 242)(243, 244)(245, 246)(247, 248)(249, 251)(250, 252)(253, 255)(254, 256)(257, 261)(258, 262)(259, 263)(260, 264)
d2: (209, 210)(211, 212)(213, 214)(215, 216)(217, 219)(218, 220)(221, 223)(222, 224)(225, 229)(226, 230)(227, 231)(228, 232)
e2: (177, 178)(179, 180)(181, 182)(183, 184)(185, 187)(186, 188)(189, 191)(190, 192)(193, 197)(194, 198)(195, 199)(196, 200)
f2: (17, 18)(19, 20)(21, 22)(23, 24)(25, 27)(26, 28)(29, 31)(30, 32)(33, 37)(34, 38)(35, 39)(36, 40)
g2: (1, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97, 105, 113, 121, 129, 137, 145, 153, 161, 169, 177, 185, 193, 201, 209, 217, 225, 233, 241, 249, 257, 265, 273, 281, 289, 297, 305, 313, 321, 329, 337, 345, 353, 361, 369, 377, 385, 393, 401, 409, 417)(2, 10, 18, 26, 34, 42, 50, 58, 66, 74, 82, 90, 98, 106, 114, 122, 130, 138, 146, 154, 162, 170, 178, 186, 194, 202, 210, 218, 226, 234, 242, 250, 258, 266, 274, 282, 290, 298, 306, 314, 322, 330, 338, 346, 354, 362, 370, 378, 386, 394, 402, 410, 418)(3, 11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 91, 99, 107, 115, 123, 131, 139, 147, 155, 163, 171, 179, 187, 195, 203, 211, 219, 227, 235, 243, 251, 259, 267, 275, 283, 291, 299, 307, 315, 323, 331, 339, 347, 355, 363, 371, 379, 387, 395, 403, 411, 419)(4, 12, 20, 28, 36, 44, 52, 60, 68, 76, 84, 92, 100, 108, 116, 124, 132, 140, 148, 156, 164, 172, 180, 188, 196, 204, 212, 220, 228, 236, 244, 252, 260, 268, 276, 284, 292, 300, 308, 316, 324, 332, 340, 348, 356, 364, 372, 380, 388, 396, 404, 412, 420)(5, 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93, 101, 109, 117, 125, 133, 141, 149, 157, 165, 173, 181, 189, 197, 205, 213, 221, 229, 237, 245, 253, 261, 269, 277, 285, 293, 301, 309, 317, 325, 333, 341, 349, 357, 365, 373, 381, 389, 397, 405, 413, 421)(6, 14, 22, 30, 38, 46, 54, 62, 70, 78, 86, 94, 102, 110, 118, 126, 134, 142, 150, 158, 166, 174, 182, 190, 198, 206, 214, 222, 230, 238, 246, 254, 262, 270, 278, 286, 294, 302, 310, 318, 326, 334, 342, 350, 358, 366, 374, 382, 390, 398, 406, 414, 422)(7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 87, 95, 103, 111, 119, 127, 135, 143, 151, 159, 167, 175, 183, 191, 199, 207, 215, 223, 231, 239, 247, 255, 263, 271, 279, 287, 295, 303, 311, 319, 327, 335, 343, 351, 359, 367, 375, 383, 391, 399, 407, 415, 423)(8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352, 360, 368, 376, 384, 392, 400, 408, 416, 424)
h2: (393, 394)(395, 396)(397, 398)(399, 400)(401, 403)(402, 404)(405, 407)(406, 408)(409, 413)(410, 414)(411, 415)(412, 416)
m2: (41, 42)(43, 44)(45, 46)(47, 48)(49, 51)(50, 52)(53, 55)(54, 56)(57, 61)(58, 62)(59, 63)(60, 64)
n3: (73, 74)(75, 76)(77, 78)(79, 80)(81, 83)(82, 84)(85, 87)(86, 88)(89, 93)(90, 94)(91, 95)(92, 96)
a3: (105, 106)(107, 108)(109, 110)(111, 112)(113, 115)(114, 116)(117, 119)(118, 120)(121, 125)(122, 126)(123, 127)(124, 128)
b3: (137, 138)(139, 140)(141, 142)(143, 144)(145, 147)(146, 148)(149, 151)(150, 152)(153, 157)(154, 158)(155, 159)(156, 160)
c3: (169, 170)(171, 172)(173, 174)(175, 176)(177, 179)(178, 180)(181, 183)(182, 184)(185, 189)(186, 190)(187, 191)(188, 192)
d3: (297, 298)(299, 300)(301, 302)(303, 304)(305, 307)(306, 308)(309, 311)(310, 312)(313, 317)(314, 318)(315, 319)(316, 320)
e3: (329, 330)(331, 332)(333, 334)(335, 336)(337, 339)(338, 340)(341, 343)(342, 344)(345, 349)(346, 350)(347, 351)(348, 352)
f3: (361, 362)(363, 364)(365, 366)(367, 368)(369, 371)(370, 372)(373, 375)(374, 376)(377, 381)(378, 382)(379, 383)(380, 384)
g3: (265, 266)(267, 268)(269, 270)(271, 272)(273, 275)(274, 276)(277, 279)(278, 280)(281, 285)(282, 286)(283, 287)(284, 288)
h3: (233, 234)(235, 236)(237, 238)(239, 240)(241, 243)(242, 244)(245, 247)(246, 248)(249, 253)(250, 254)(251, 255)(252, 256)
m3: (201, 202)(203, 204)(205, 206)(207, 208)(209, 211)(210, 212)(213, 215)(214, 216)(217, 221)(218, 222)(219, 223)(220, 224)
n4: (9, 10)(11, 12)(13, 14)(15, 16)(17, 19)(18, 20)(21, 23)(22, 24)(25, 29)(26, 30)(27, 31)(28, 32)
a4: (1, 3)(2, 4)(5, 7)(6, 8)(9, 13)(10, 14)(11, 15)(12, 16)(417, 418)(419, 420)(421, 422)(423, 424)
b4: (2, 5)(4, 7)(9, 417)(10, 421)(11, 419)(12, 423)(13, 418)(14, 422)(15, 420)(16, 424)(17, 409)(18, 413)(19, 411)(20, 415)(21, 410)(22, 414)(23, 412)(24, 416)(25, 401)(26, 405)(27, 403)(28, 407)(29, 402)(30, 406)(31, 404)(32, 408)(33, 393)(34, 397)(35, 395)(36, 399)(37, 394)(38, 398)(39, 396)(40, 400)(41, 385)(42, 389)(43, 387)(44, 391)(45, 386)(46, 390)(47, 388)(48, 392)(49, 377)(50, 381)(51, 379)(52, 383)(53, 378)(54, 382)(55, 380)(56, 384)(57, 369)(58, 373)(59, 371)(60, 375)(61, 370)(62, 374)(63, 372)(64, 376)(65, 361)(66, 365)(67, 363)(68, 367)(69, 362)(70, 366)(71, 364)(72, 368)(73, 353)(74, 357)(75, 355)(76, 359)(77, 354)(78, 358)(79, 356)(80, 360)(81, 345)(82, 349)(83, 347)(84, 351)(85, 346)(86, 350)(87, 348)(88, 352)(89, 337)(90, 341)(91, 339)(92, 343)(93, 338)(94, 342)(95, 340)(96, 344)(97, 329)(98, 333)(99, 331)(100, 335)(101, 330)(102, 334)(103, 332)(104, 336)(105, 321)(106, 325)(107, 323)(108, 327)(109, 322)(110, 326)(111, 324)(112, 328)(113, 313)(114, 317)(115, 315)(116, 319)(117, 314)(118, 318)(119, 316)(120, 320)(121, 305)(122, 309)(123, 307)(124, 311)(125, 306)(126, 310)(127, 308)(128, 312)(129, 297)(130, 301)(131, 299)(132, 303)(133, 298)(134, 302)(135, 300)(136, 304)(137, 289)(138, 293)(139, 291)(140, 295)(141, 290)(142, 294)(143, 292)(144, 296)(145, 281)(146, 285)(147, 283)(148, 287)(149, 282)(150, 286)(151, 284)(152, 288)(153, 273)(154, 277)(155, 275)(156, 279)(157, 274)(158, 278)(159, 276)(160, 280)(161, 265)(162, 269)(163, 267)(164, 271)(165, 266)(166, 270)(167, 268)(168, 272)(169, 257)(170, 261)(171, 259)(172, 263)(173, 258)(174, 262)(175, 260)(176, 264)(177, 249)(178, 253)(179, 251)(180, 255)(181, 250)(182, 254)(183, 252)(184, 256)(185, 241)(186, 245)(187, 243)(188, 247)(189, 242)(190, 246)(191, 244)(192, 248)(193, 233)(194, 237)(195, 235)(196, 239)(197, 234)(198, 238)(199, 236)(200, 240)(201, 225)(202, 229)(203, 227)(204, 231)(205, 226)(206, 230)(207, 228)(208, 232)(209, 217)(210, 221)(211, 219)(212, 223)(213, 218)(214, 222)(215, 220)(216, 224)
c4: (377, 378)(379, 380)(381, 382)(383, 384)(385, 387)(386, 388)(389, 391)(390, 392)(393, 397)(394, 398)(395, 399)(396, 400)
d4: (57, 58)(59, 60)(61, 62)(63, 64)(65, 67)(66, 68)(69, 71)(70, 72)(73, 77)(74, 78)(75, 79)(76, 80)
e4: (89, 90)(91, 92)(93, 94)(95, 96)(97, 99)(98, 100)(101, 103)(102, 104)(105, 109)(106, 110)(107, 111)(108, 112)
f4: (121, 122)(123, 124)(125, 126)(127, 128)(129, 131)(130, 132)(133, 135)(134, 136)(137, 141)(138, 142)(139, 143)(140, 144)
g4: (153, 154)(155, 156)(157, 158)(159, 160)(161, 163)(162, 164)(165, 167)(166, 168)(169, 173)(170, 174)(171, 175)(172, 176)
h4: (281, 282)(283, 284)(285, 286)(287, 288)(289, 291)(290, 292)(293, 295)(294, 296)(297, 301)(298, 302)(299, 303)(300, 304)
m4: (313, 314)(315, 316)(317, 318)(319, 320)(321, 323)(322, 324)(325, 327)(326, 328)(329, 333)(330, 334)(331, 335)(332, 336)
n5: (345, 346)(347, 348)(349, 350)(351, 352)(353, 355)(354, 356)(357, 359)(358, 360)(361, 365)(362, 366)(363, 367)(364, 368)
a5: (249, 250)(251, 252)(253, 254)(255, 256)(257, 259)(258, 260)(261, 263)(262, 264)(265, 269)(266, 270)(267, 271)(268, 272)
b5: (217, 218)(219, 220)(221, 222)(223, 224)(225, 227)(226, 228)(229, 231)(230, 232)(233, 237)(234, 238)(235, 239)(236, 240)
c5: (185, 186)(187, 188)(189, 190)(191, 192)(193, 195)(194, 196)(197, 199)(198, 200)(201, 205)(202, 206)(203, 207)(204, 208)
d5: (25, 26)(27, 28)(29, 30)(31, 32)(33, 35)(34, 36)(37, 39)(38, 40)(41, 45)(42, 46)(43, 47)(44, 48)

(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.

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&Graph
C4[ 424, 8 ]
424
-1 421 9 10 417
-2 11 12 421 417
-3 418 13 14 422
-4 418 15 422 16
-5 419 423 9 10
-6 11 12 419 423
-7 13 420 14 424
-8 420 15 16 424
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-10 1 5 19 20
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-12 23 2 24 6
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-17 13 25 26 9
-18 13 27 28 9
-19 14 29 30 10
-20 14 31 10 32
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-26 35 36 17 21
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-28 22 39 18 40
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-47 36 40 53 54
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-50 45 59 60 41
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-135 124 128 141 142
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-137 133 145 146 129
-138 133 147 148 129
-139 134 149 150 130
-140 134 151 130 152
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-150 143 155 156 139
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-153 145 149 161 162
-154 145 149 163 164
-155 165 166 146 150
-156 167 146 168 150
-157 147 161 151 162
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-160 167 168 148 152
-161 157 169 170 153
-162 157 171 172 153
-163 154 158 173 174
-164 154 176 158 175
-165 155 169 159 170
-166 155 159 171 172
-167 156 160 173 174
-168 176 156 160 175
-169 165 177 178 161
-170 165 179 180 161
-171 166 181 182 162
-172 166 183 162 184
-173 177 167 178 163
-174 167 179 180 163
-175 168 181 182 164
-176 168 183 184 164
-177 169 173 185 186
-178 187 188 169 173
-179 189 190 170 174
-180 191 170 192 174
-181 171 185 175 186
-182 187 188 171 175
-183 176 189 190 172
-184 176 191 192 172
-185 177 181 193 194
-186 177 181 195 196
-187 198 178 182 197
-188 199 178 200 182
-189 179 193 183 194
-190 179 183 195 196
-191 198 180 184 197
-192 199 200 180 184
-193 189 201 202 185
-194 189 203 204 185
-195 190 205 206 186
-196 190 207 186 208
-197 187 201 191 202
-198 187 191 203 204
-199 188 192 205 206
-200 188 192 207 208
-201 209 210 193 197
-202 211 212 193 197
-203 198 213 214 194
-204 198 215 194 216
-205 209 199 210 195
-206 199 211 212 195
-207 200 213 214 196
-208 200 215 216 196
-209 201 205 217 218
-210 220 201 205 219
-211 221 222 202 206
-212 223 202 224 206
-213 203 217 207 218
-214 220 203 207 219
-215 221 222 204 208
-216 223 224 204 208
-217 209 213 225 226
-218 209 213 227 228
-219 210 214 229 230
-220 231 210 232 214
-221 211 225 215 226
-222 211 215 227 228
-223 212 216 229 230
-224 231 232 212 216
-225 221 233 234 217
-226 221 235 236 217
-227 222 237 238 218
-228 222 239 218 240
-229 233 223 234 219
-230 223 235 236 219
-231 220 224 237 238
-232 220 224 239 240
-233 242 225 229 241
-234 243 244 225 229
-235 245 246 226 230
-236 247 226 248 230
-237 231 242 227 241
-238 231 243 244 227
-239 232 245 246 228
-240 232 247 248 228
-241 233 237 249 250
-242 233 237 251 252
-243 253 254 234 238
-244 255 234 256 238
-245 235 249 239 250
-246 235 239 251 252
-247 253 254 236 240
-248 255 256 236 240
-249 245 257 258 241
-250 245 259 260 241
-251 242 246 261 262
-252 242 264 246 263
-253 243 257 247 258
-254 243 247 259 260
-255 244 248 261 262
-256 264 244 248 263
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-258 253 267 268 249
-259 254 269 270 250
-260 254 271 250 272
-261 265 255 266 251
-262 255 267 268 251
-263 256 269 270 252
-264 256 271 272 252
-265 257 261 273 274
-266 275 276 257 261
-267 277 278 258 262
-268 279 258 280 262
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-270 275 276 259 263
-271 264 277 278 260
-272 264 279 280 260
-273 265 269 281 282
-274 265 269 283 284
-275 286 266 270 285
-276 287 266 288 270
-277 267 281 271 282
-278 267 271 283 284
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-280 287 288 268 272
-281 277 289 290 273
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-283 278 293 294 274
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-326 319 331 332 315
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-328 320 335 336 316
-329 321 325 337 338
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-331 341 342 322 326
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-336 343 344 324 328
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-338 333 347 348 329
-339 330 334 349 350
-340 330 352 334 351
-341 331 345 335 346
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-361 353 357 369 370
-362 353 357 371 372
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-364 375 354 376 358
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-368 375 376 356 360
-369 365 377 378 361
-370 365 379 380 361
-371 366 381 382 362
-372 366 383 362 384
-373 363 377 367 378
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-376 364 368 383 384
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-379 374 389 390 370
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-384 376 391 392 372
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-386 396 377 381 395
-387 397 398 378 382
-388 399 378 400 382
-389 379 393 383 394
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-391 397 398 380 384
-392 399 400 380 384
-393 385 389 401 402
-394 385 389 403 404
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-404 398 415 394 416
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-416 408 423 424 404
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-418 409 3 4 413
-419 410 5 6 414
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-421 1 2 411 415
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-423 5 412 6 416
-424 412 7 8 416
0

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