C4graphGraph forms for C4 [ 342, 2 ] = C_342(1,37)

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On this page are computer-accessible forms for the graph C4[ 342, 2 ] = C_342(1,37).

(I) Following is a form readable by MAGMA:

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

(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[ 342, 2 ]
342
-1 342 2 38 306
-2 1 3 39 307
-3 308 2 4 40
-4 309 3 5 41
-5 310 4 6 42
-6 311 5 7 43
-7 44 312 6 8
-8 45 313 7 9
-9 46 314 8 10
-10 11 47 315 9
-11 12 48 316 10
-12 11 13 49 317
-13 12 14 50 318
-14 319 13 15 51
-15 320 14 16 52
-16 321 15 17 53
-17 322 16 18 54
-18 55 323 17 19
-19 56 324 18 20
-20 57 325 19 21
-21 22 58 326 20
-22 23 59 327 21
-23 22 24 60 328
-24 23 25 61 329
-25 330 24 26 62
-26 331 25 27 63
-27 332 26 28 64
-28 333 27 29 65
-29 66 334 28 30
-30 67 335 29 31
-31 68 336 30 32
-32 33 69 337 31
-33 34 70 338 32
-34 33 35 71 339
-35 34 36 72 340
-36 341 35 37 73
-37 342 36 38 74
-38 1 37 39 75
-39 2 38 40 76
-40 77 3 39 41
-41 78 4 40 42
-42 79 5 41 43
-43 44 80 6 42
-44 45 81 7 43
-45 44 46 82 8
-46 45 47 83 9
-47 46 48 84 10
-48 11 47 49 85
-49 12 48 50 86
-50 13 49 51 87
-51 88 14 50 52
-52 89 15 51 53
-53 90 16 52 54
-54 55 91 17 53
-55 56 92 18 54
-56 55 57 93 19
-57 56 58 94 20
-58 57 59 95 21
-59 22 58 60 96
-60 23 59 61 97
-61 24 60 62 98
-62 99 25 61 63
-63 100 26 62 64
-64 101 27 63 65
-65 66 102 28 64
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-69 68 70 106 32
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-71 34 70 72 108
-72 35 71 73 109
-73 110 36 72 74
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-75 112 38 74 76
-76 77 113 39 75
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-80 79 81 117 43
-81 44 80 82 118
-82 45 81 83 119
-83 46 82 84 120
-84 121 47 83 85
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-101 100 102 138 64
-102 101 103 139 65
-103 66 102 104 140
-104 67 103 105 141
-105 68 104 106 142
-106 143 69 105 107
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-108 145 71 107 109
-109 110 146 72 108
-110 111 147 73 109
-111 110 112 148 74
-112 111 113 149 75
-113 112 114 150 76
-114 77 113 115 151
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-116 79 115 117 153
-117 154 80 116 118
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-120 121 157 83 119
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-219 220 256 182 218
-220 221 257 183 219
-221 220 222 258 184
-222 221 223 259 185
-223 222 224 260 186
-224 187 223 225 261
-225 188 224 226 262
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-227 264 190 226 228
-228 265 191 227 229
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-231 232 268 194 230
-232 231 233 269 195
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-234 233 235 271 197
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-236 199 235 237 273
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-249 286 212 248 250
-250 287 213 249 251
-251 288 214 250 252
-252 253 289 215 251
-253 254 290 216 252
-254 253 255 291 217
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-256 255 257 293 219
-257 220 256 258 294
-258 221 257 259 295
-259 222 258 260 296
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-261 298 224 260 262
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-263 264 300 226 262
-264 265 301 227 263
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-276 275 277 313 239
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-280 243 279 281 317
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-284 321 247 283 285
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-299 298 300 336 262
-300 299 301 337 263
-301 264 300 302 338
-302 265 301 303 339
-303 266 302 304 340
-304 341 267 303 305
-305 342 268 304 306
-306 1 269 305 307
-307 308 2 270 306
-308 309 3 271 307
-309 308 310 4 272
-310 309 311 5 273
-311 310 312 6 274
-312 275 311 313 7
-313 276 312 314 8
-314 277 313 315 9
-315 278 314 316 10
-316 11 279 315 317
-317 12 280 316 318
-318 319 13 281 317
-319 320 14 282 318
-320 319 321 15 283
-321 320 322 16 284
-322 321 323 17 285
-323 286 322 324 18
-324 287 323 325 19
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0

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