C4graphGraph forms for C4 [ 273, 14 ] = UG(Rmap(546,86){7,4|14}_14)

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On this page are computer-accessible forms for the graph C4[ 273, 14 ] = UG(Rmap(546,86){7,4|14}_14).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {112, 113} under the group generated by the following permutations:

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

(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[ 273, 14 ]
273
-1 2 3 5 8
-2 1 12 4 7
-3 11 1 6 18
-4 2 25 16 9
-5 1 26 17 10
-6 23 13 35 3
-7 2 24 14 36
-8 22 1 15 37
-9 13 4 50 32
-10 33 5 51 19
-11 34 3 52 20
-12 2 31 53 21
-13 45 6 9 64
-14 46 71 7 19
-15 47 27 72 8
-16 4 48 28 73
-17 5 49 29 74
-18 44 3 30 75
-19 14 91 10 65
-20 11 66 100 27
-21 12 67 101 38
-22 68 102 39 8
-23 69 103 6 40
-24 70 104 7 41
-25 4 105 62 42
-26 5 106 63 43
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-28 16 38 93 138
-29 17 39 94 139
-30 18 95 140 54
-31 55 12 96 141
-32 56 9 97 142
-33 143 57 10 98
-34 11 99 144 58
-35 89 145 59 6
-36 90 146 60 7
-37 88 147 61 8
-38 166 28 128 21
-39 22 167 29 129
-40 23 177 130 54
-41 55 24 178 130
-42 176 25 76 131
-43 77 132 26 175
-44 78 133 179 18
-45 13 79 134 180
-46 14 80 181 116
-47 135 15 81 182
-48 136 16 82 183
-49 137 17 83 184
-50 124 84 9 185
-51 125 85 10 186
-52 11 187 126 86
-53 12 123 147 87
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-63 111 26 183 173
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-65 113 215 19 174
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-68 22 176 115 217
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-71 14 118 163 219
-72 220 15 119 164
-73 165 221 16 120
-74 121 165 222 17
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-267 232 268 171 273
-268 266 267 258 172
-269 213 257 236 260
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-271 254 211 261 273
-272 266 212 245 261
-273 267 259 271 239
0

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