C4graphGraph forms for C4 [ 348, 2 ] = C_348(1,59)

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On this page are computer-accessible forms for the graph C4[ 348, 2 ] = C_348(1,59).

(I) Following is a form readable by MAGMA:

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

(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[ 348, 2 ]
348
-1 2 290 60 348
-2 1 3 291 61
-3 2 4 292 62
-4 3 5 293 63
-5 4 6 294 64
-6 5 7 295 65
-7 66 6 8 296
-8 297 67 7 9
-9 298 68 8 10
-10 11 299 69 9
-11 12 300 70 10
-12 11 13 301 71
-13 12 14 302 72
-14 13 15 303 73
-15 14 16 304 74
-16 15 17 305 75
-17 16 18 306 76
-18 77 17 19 307
-19 308 78 18 20
-20 309 79 19 21
-21 22 310 80 20
-22 23 311 81 21
-23 22 24 312 82
-24 23 25 313 83
-25 24 26 314 84
-26 25 27 315 85
-27 26 28 316 86
-28 27 29 317 87
-29 88 28 30 318
-30 319 89 29 31
-31 320 90 30 32
-32 33 321 91 31
-33 34 322 92 32
-34 33 35 323 93
-35 34 36 324 94
-36 35 37 325 95
-37 36 38 326 96
-38 37 39 327 97
-39 38 40 328 98
-40 99 39 41 329
-41 330 100 40 42
-42 331 101 41 43
-43 44 332 102 42
-44 45 333 103 43
-45 44 46 334 104
-46 45 47 335 105
-47 46 48 336 106
-48 47 49 337 107
-49 48 50 338 108
-50 49 51 339 109
-51 110 50 52 340
-52 341 111 51 53
-53 342 112 52 54
-54 55 343 113 53
-55 56 344 114 54
-56 55 57 345 115
-57 56 58 346 116
-58 57 59 347 117
-59 58 60 348 118
-60 1 59 61 119
-61 2 60 62 120
-62 121 3 61 63
-63 122 4 62 64
-64 123 5 63 65
-65 66 124 6 64
-66 67 125 7 65
-67 66 68 126 8
-68 67 69 127 9
-69 68 70 128 10
-70 11 69 71 129
-71 12 70 72 130
-72 13 71 73 131
-73 132 14 72 74
-74 133 15 73 75
-75 134 16 74 76
-76 77 135 17 75
-77 78 136 18 76
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-80 79 81 139 21
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-82 23 81 83 141
-83 24 82 84 142
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-90 89 91 149 31
-91 90 92 150 32
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-98 99 157 39 97
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-102 101 103 161 43
-103 44 102 104 162
-104 45 103 105 163
-105 46 104 106 164
-106 165 47 105 107
-107 166 48 106 108
-108 167 49 107 109
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-110 111 169 51 109
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-112 111 113 171 53
-113 112 114 172 54
-114 55 113 115 173
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-117 176 58 116 118
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-120 121 179 61 119
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-212 211 213 271 153
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-214 155 213 215 273
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-219 220 278 160 218
-220 221 279 161 219
-221 220 222 280 162
-222 221 223 281 163
-223 222 224 282 164
-224 165 223 225 283
-225 166 224 226 284
-226 167 225 227 285
-227 286 168 226 228
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-229 288 170 228 230
-230 231 289 171 229
-231 232 290 172 230
-232 231 233 291 173
-233 232 234 292 174
-234 233 235 293 175
-235 176 234 236 294
-236 177 235 237 295
-237 178 236 238 296
-238 297 179 237 239
-239 298 180 238 240
-240 299 181 239 241
-241 242 300 182 240
-242 243 301 183 241
-243 242 244 302 184
-244 243 245 303 185
-245 244 246 304 186
-246 187 245 247 305
-247 188 246 248 306
-248 189 247 249 307
-249 308 190 248 250
-250 309 191 249 251
-251 310 192 250 252
-252 253 311 193 251
-253 254 312 194 252
-254 253 255 313 195
-255 254 256 314 196
-256 255 257 315 197
-257 198 256 258 316
-258 199 257 259 317
-259 200 258 260 318
-260 319 201 259 261
-261 320 202 260 262
-262 321 203 261 263
-263 264 322 204 262
-264 265 323 205 263
-265 264 266 324 206
-266 265 267 325 207
-267 266 268 326 208
-268 209 267 269 327
-269 210 268 270 328
-270 211 269 271 329
-271 330 212 270 272
-272 331 213 271 273
-273 332 214 272 274
-274 275 333 215 273
-275 276 334 216 274
-276 275 277 335 217
-277 276 278 336 218
-278 277 279 337 219
-279 220 278 280 338
-280 221 279 281 339
-281 222 280 282 340
-282 341 223 281 283
-283 342 224 282 284
-284 343 225 283 285
-285 286 344 226 284
-286 287 345 227 285
-287 286 288 346 228
-288 287 289 347 229
-289 288 290 348 230
-290 231 1 289 291
-291 232 2 290 292
-292 233 3 291 293
-293 234 4 292 294
-294 235 5 293 295
-295 236 6 294 296
-296 297 237 7 295
-297 298 238 8 296
-298 297 299 239 9
-299 298 300 240 10
-300 11 299 301 241
-301 242 12 300 302
-302 243 13 301 303
-303 244 14 302 304
-304 245 15 303 305
-305 246 16 304 306
-306 247 17 305 307
-307 308 248 18 306
-308 309 249 19 307
-309 308 310 250 20
-310 309 311 251 21
-311 22 310 312 252
-312 253 23 311 313
-313 254 24 312 314
-314 255 25 313 315
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0

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