C4graphGraph forms for C4 [ 301, 1 ] = C_301(1,85)

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On this page are computer-accessible forms for the graph C4[ 301, 1 ] = C_301(1,85).

(I) Following is a form readable by MAGMA:

g:=Graph<301|{ {2, 3}, {300, 301}, {298, 299}, {296, 297}, {294, 295}, {292, 293}, {290, 291}, {288, 289}, {286, 287}, {284, 285}, {282, 283}, {280, 281}, {278, 279}, {276, 277}, {274, 275}, {272, 273}, {270, 271}, {268, 269}, {266, 267}, {264, 265}, {262, 263}, {260, 261}, {258, 259}, {256, 257}, {254, 255}, {252, 253}, {250, 251}, {248, 249}, {246, 247}, {244, 245}, {242, 243}, {240, 241}, {238, 239}, {236, 237}, {234, 235}, {232, 233}, {230, 231}, {228, 229}, {226, 227}, {224, 225}, {222, 223}, {220, 221}, {218, 219}, {216, 217}, {214, 215}, {212, 213}, {210, 211}, {208, 209}, {206, 207}, {204, 205}, {202, 203}, {200, 201}, {198, 199}, {196, 197}, {194, 195}, {192, 193}, {190, 191}, {96, 97}, {94, 95}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {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}, {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}, {1, 2}, {297, 298}, {293, 294}, {289, 290}, {285, 286}, {281, 282}, {277, 278}, {273, 274}, {269, 270}, {265, 266}, {261, 262}, {257, 258}, {253, 254}, {249, 250}, {245, 246}, {241, 242}, {237, 238}, {233, 234}, {229, 230}, {225, 226}, {221, 222}, {217, 218}, {213, 214}, {209, 210}, {205, 206}, {201, 202}, {197, 198}, {193, 194}, {97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121, 122}, {125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {149, 150}, {153, 154}, {157, 158}, {161, 162}, {165, 166}, {169, 170}, {173, 174}, {177, 178}, {181, 182}, {185, 186}, {189, 190}, {3, 4}, {299, 300}, {291, 292}, {283, 284}, {275, 276}, {267, 268}, {259, 260}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {195, 196}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {179, 180}, {187, 188}, {7, 8}, {295, 296}, {279, 280}, {263, 264}, {247, 248}, {231, 232}, {215, 216}, {199, 200}, {87, 88}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {167, 168}, {183, 184}, {15, 16}, {271, 272}, {239, 240}, {207, 208}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {175, 176}, {31, 32}, {287, 288}, {223, 224}, {95, 96}, {159, 160}, {2, 87}, {8, 93}, {10, 95}, {32, 117}, {34, 119}, {40, 125}, {42, 127}, {128, 213}, {130, 215}, {136, 221}, {138, 223}, {160, 245}, {162, 247}, {168, 253}, {170, 255}, {1, 86}, {9, 94}, {33, 118}, {41, 126}, {129, 214}, {137, 222}, {161, 246}, {169, 254}, {3, 88}, {7, 92}, {35, 120}, {39, 124}, {131, 216}, {135, 220}, {163, 248}, {167, 252}, {4, 89}, {6, 91}, {36, 121}, {38, 123}, {132, 217}, {134, 219}, {164, 249}, {166, 251}, {5, 90}, {37, 122}, {133, 218}, {165, 250}, {11, 96}, {15, 100}, {27, 112}, {31, 116}, {139, 224}, {143, 228}, {155, 240}, {159, 244}, {12, 97}, {14, 99}, {28, 113}, {30, 115}, {140, 225}, {142, 227}, {156, 241}, {158, 243}, {13, 98}, {29, 114}, {141, 226}, {157, 242}, {16, 101}, {18, 103}, {24, 109}, {26, 111}, {144, 229}, {146, 231}, {152, 237}, {154, 239}, {17, 102}, {25, 110}, {145, 230}, {153, 238}, {19, 104}, {23, 108}, {147, 232}, {151, 236}, {20, 105}, {22, 107}, {148, 233}, {150, 235}, {21, 106}, {191, 192}, {63, 64}, {149, 234}, {43, 128}, {63, 148}, {59, 144}, {47, 132}, {107, 192}, {111, 196}, {123, 208}, {127, 212}, {44, 129}, {62, 147}, {60, 145}, {46, 131}, {108, 193}, {110, 195}, {124, 209}, {126, 211}, {45, 130}, {61, 146}, {109, 194}, {125, 210}, {48, 133}, {58, 143}, {56, 141}, {50, 135}, {112, 197}, {114, 199}, {120, 205}, {122, 207}, {49, 134}, {57, 142}, {113, 198}, {121, 206}, {51, 136}, {55, 140}, {115, 200}, {119, 204}, {52, 137}, {54, 139}, {116, 201}, {118, 203}, {53, 138}, {117, 202}, {64, 149}, {96, 181}, {74, 159}, {72, 157}, {66, 151}, {98, 183}, {104, 189}, {106, 191}, {65, 150}, {73, 158}, {97, 182}, {105, 190}, {1, 217}, {2, 218}, {3, 219}, {4, 220}, {5, 221}, {6, 222}, {7, 223}, {32, 248}, {33, 249}, {34, 250}, {35, 251}, {36, 252}, {37, 253}, {38, 254}, {39, 255}, {67, 152}, {71, 156}, {99, 184}, {103, 188}, {68, 153}, {70, 155}, {100, 185}, {102, 187}, {69, 154}, {101, 186}, {8, 224}, {9, 225}, {10, 226}, {11, 227}, {12, 228}, {13, 229}, {14, 230}, {15, 231}, {24, 240}, {25, 241}, {26, 242}, {27, 243}, {28, 244}, {29, 245}, {30, 246}, {31, 247}, {75, 160}, {95, 180}, {91, 176}, {79, 164}, {76, 161}, {94, 179}, {92, 177}, {78, 163}, {77, 162}, {93, 178}, {80, 165}, {90, 175}, {88, 173}, {82, 167}, {81, 166}, {89, 174}, {16, 232}, {17, 233}, {18, 234}, {19, 235}, {20, 236}, {21, 237}, {22, 238}, {23, 239}, {83, 168}, {87, 172}, {84, 169}, {86, 171}, {85, 170}, {127, 128}, {40, 256}, {63, 279}, {62, 278}, {61, 277}, {60, 276}, {59, 275}, {58, 274}, {57, 273}, {56, 272}, {41, 257}, {42, 258}, {43, 259}, {44, 260}, {45, 261}, {46, 262}, {47, 263}, {1, 301}, {48, 264}, {55, 271}, {49, 265}, {50, 266}, {51, 267}, {52, 268}, {53, 269}, {54, 270}, {64, 280}, {71, 287}, {70, 286}, {69, 285}, {68, 284}, {67, 283}, {66, 282}, {65, 281}, {72, 288}, {79, 295}, {78, 294}, {77, 293}, {76, 292}, {75, 291}, {74, 290}, {73, 289}, {80, 296}, {85, 301}, {84, 300}, {83, 299}, {82, 298}, {81, 297}, {171, 256}, {191, 276}, {175, 260}, {187, 272}, {172, 257}, {190, 275}, {174, 259}, {188, 273}, {173, 258}, {189, 274}, {176, 261}, {178, 263}, {184, 269}, {186, 271}, {177, 262}, {185, 270}, {179, 264}, {183, 268}, {180, 265}, {182, 267}, {181, 266}, {192, 277}, {202, 287}, {200, 285}, {194, 279}, {193, 278}, {201, 286}, {195, 280}, {199, 284}, {196, 281}, {198, 283}, {197, 282}, {203, 288}, {207, 292}, {204, 289}, {206, 291}, {205, 290}, {208, 293}, {216, 301}, {210, 295}, {209, 294}, {211, 296}, {215, 300}, {212, 297}, {214, 299}, {213, 298}, {255, 256} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (2, 217)(3, 132)(4, 47)(5, 263)(6, 178)(7, 93)(9, 224)(10, 139)(11, 54)(12, 270)(13, 185)(14, 100)(16, 231)(17, 146)(18, 61)(19, 277)(20, 192)(21, 107)(23, 238)(24, 153)(25, 68)(26, 284)(27, 199)(28, 114)(30, 245)(31, 160)(32, 75)(33, 291)(34, 206)(35, 121)(37, 252)(38, 167)(39, 82)(40, 298)(41, 213)(42, 128)(44, 259)(45, 174)(46, 89)(48, 220)(49, 135)(51, 266)(52, 181)(53, 96)(55, 227)(56, 142)(58, 273)(59, 188)(60, 103)(62, 234)(63, 149)(65, 280)(66, 195)(67, 110)(69, 241)(70, 156)(72, 287)(73, 202)(74, 117)(76, 248)(77, 163)(79, 294)(80, 209)(81, 124)(83, 255)(84, 170)(86, 301)(87, 216)(88, 131)(90, 262)(91, 177)(94, 223)(95, 138)(97, 269)(98, 184)(101, 230)(102, 145)(104, 276)(105, 191)(108, 237)(109, 152)(111, 283)(112, 198)(115, 244)(116, 159)(118, 290)(119, 205)(122, 251)(123, 166)(125, 297)(126, 212)(129, 258)(130, 173)(133, 219)(136, 265)(137, 180)(140, 226)(143, 272)(144, 187)(147, 233)(150, 279)(151, 194)(154, 240)(157, 286)(158, 201)(161, 247)(164, 293)(165, 208)(168, 254)(171, 300)(172, 215)(175, 261)(179, 222)(182, 268)(186, 229)(189, 275)(193, 236)(196, 282)(200, 243)(203, 289)(207, 250)(210, 296)(214, 257)(221, 264)(228, 271)(235, 278)(242, 285)(249, 292)(256, 299)
b: (2, 86)(3, 171)(4, 256)(5, 40)(6, 125)(7, 210)(8, 295)(9, 79)(10, 164)(11, 249)(12, 33)(13, 118)(14, 203)(15, 288)(16, 72)(17, 157)(18, 242)(19, 26)(20, 111)(21, 196)(22, 281)(23, 65)(24, 150)(25, 235)(27, 104)(28, 189)(29, 274)(30, 58)(31, 143)(32, 228)(34, 97)(35, 182)(36, 267)(37, 51)(38, 136)(39, 221)(41, 90)(42, 175)(43, 260)(45, 129)(46, 214)(47, 299)(48, 83)(49, 168)(50, 253)(52, 122)(53, 207)(54, 292)(55, 76)(56, 161)(57, 246)(59, 115)(60, 200)(61, 285)(62, 69)(63, 154)(64, 239)(66, 108)(67, 193)(68, 278)(70, 147)(71, 232)(73, 101)(74, 186)(75, 271)(77, 140)(78, 225)(80, 94)(81, 179)(82, 264)(84, 133)(85, 218)(88, 172)(89, 257)(91, 126)(92, 211)(93, 296)(95, 165)(96, 250)(98, 119)(99, 204)(100, 289)(102, 158)(103, 243)(105, 112)(106, 197)(107, 282)(109, 151)(110, 236)(113, 190)(114, 275)(116, 144)(117, 229)(120, 183)(121, 268)(123, 137)(124, 222)(127, 176)(128, 261)(131, 215)(132, 300)(134, 169)(135, 254)(138, 208)(139, 293)(141, 162)(142, 247)(145, 201)(146, 286)(148, 155)(149, 240)(152, 194)(153, 279)(156, 233)(159, 187)(160, 272)(163, 226)(166, 180)(167, 265)(170, 219)(174, 258)(177, 212)(178, 297)(181, 251)(184, 205)(185, 290)(188, 244)(191, 198)(192, 283)(195, 237)(199, 276)(202, 230)(206, 269)(209, 223)(213, 262)(217, 301)(220, 255)(224, 294)(227, 248)(231, 287)(234, 241)(238, 280)(245, 273)(252, 266)(263, 298)(270, 291)(277, 284)
c: (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)

(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[ 301, 1 ]
301
-1 2 301 217 86
-2 1 3 218 87
-3 88 2 4 219
-4 220 89 3 5
-5 221 90 4 6
-6 222 91 5 7
-7 223 92 6 8
-8 224 93 7 9
-9 225 94 8 10
-10 11 226 95 9
-11 12 227 96 10
-12 11 13 228 97
-13 12 14 229 98
-14 99 13 15 230
-15 231 100 14 16
-16 232 101 15 17
-17 233 102 16 18
-18 234 103 17 19
-19 235 104 18 20
-20 236 105 19 21
-21 22 237 106 20
-22 23 238 107 21
-23 22 24 239 108
-24 23 25 240 109
-25 110 24 26 241
-26 242 111 25 27
-27 243 112 26 28
-28 244 113 27 29
-29 245 114 28 30
-30 246 115 29 31
-31 247 116 30 32
-32 33 248 117 31
-33 34 249 118 32
-34 33 35 250 119
-35 34 36 251 120
-36 121 35 37 252
-37 253 122 36 38
-38 254 123 37 39
-39 255 124 38 40
-40 256 125 39 41
-41 257 126 40 42
-42 258 127 41 43
-43 44 259 128 42
-44 45 260 129 43
-45 44 46 261 130
-46 45 47 262 131
-47 132 46 48 263
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-49 265 134 48 50
-50 266 135 49 51
-51 267 136 50 52
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-218 133 2 217 219
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-222 221 223 137 6
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-300 299 301 215 84
-301 1 300 216 85
0

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