C4graphGraph forms for C4 [ 323, 1 ] = C_323(1,18)

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On this page are computer-accessible forms for the graph C4[ 323, 1 ] = C_323(1,18).

(I) Following is a form readable by MAGMA:

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

(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[ 323, 1 ]
323
-1 2 323 19 306
-2 1 3 20 307
-3 308 2 4 21
-4 22 309 3 5
-5 23 310 4 6
-6 24 311 5 7
-7 25 312 6 8
-8 26 313 7 9
-9 27 314 8 10
-10 11 28 315 9
-11 12 29 316 10
-12 11 13 30 317
-13 12 14 31 318
-14 319 13 15 32
-15 33 320 14 16
-16 34 321 15 17
-17 35 322 16 18
-18 36 323 17 19
-19 1 37 18 20
-20 2 38 19 21
-21 22 3 39 20
-22 23 4 40 21
-23 22 24 5 41
-24 23 25 6 42
-25 24 26 7 43
-26 44 25 27 8
-27 45 26 28 9
-28 46 27 29 10
-29 11 47 28 30
-30 12 48 29 31
-31 13 49 30 32
-32 33 14 50 31
-33 34 15 51 32
-34 33 35 16 52
-35 34 36 17 53
-36 35 37 18 54
-37 55 36 38 19
-38 56 37 39 20
-39 57 38 40 21
-40 22 58 39 41
-41 23 59 40 42
-42 24 60 41 43
-43 44 25 61 42
-44 45 26 62 43
-45 44 46 27 63
-46 45 47 28 64
-47 46 48 29 65
-48 66 47 49 30
-49 67 48 50 31
-50 68 49 51 32
-51 33 69 50 52
-52 34 70 51 53
-53 35 71 52 54
-54 55 36 72 53
-55 56 37 73 54
-56 55 57 38 74
-57 56 58 39 75
-58 57 59 40 76
-59 77 58 60 41
-60 78 59 61 42
-61 79 60 62 43
-62 44 80 61 63
-63 45 81 62 64
-64 46 82 63 65
-65 66 47 83 64
-66 67 48 84 65
-67 66 68 49 85
-68 67 69 50 86
-69 68 70 51 87
-70 88 69 71 52
-71 89 70 72 53
-72 90 71 73 54
-73 55 91 72 74
-74 56 92 73 75
-75 57 93 74 76
-76 77 58 94 75
-77 78 59 95 76
-78 77 79 60 96
-79 78 80 61 97
-80 79 81 62 98
-81 99 80 82 63
-82 100 81 83 64
-83 101 82 84 65
-84 66 102 83 85
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-86 68 104 85 87
-87 88 69 105 86
-88 89 70 106 87
-89 88 90 71 107
-90 89 91 72 108
-91 90 92 73 109
-92 110 91 93 74
-93 111 92 94 75
-94 112 93 95 76
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-96 78 114 95 97
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-98 99 80 116 97
-99 100 81 117 98
-100 99 101 82 118
-101 100 102 83 119
-102 101 103 84 120
-103 121 102 104 85
-104 122 103 105 86
-105 123 104 106 87
-106 88 124 105 107
-107 89 125 106 108
-108 90 126 107 109
-109 110 91 127 108
-110 111 92 128 109
-111 110 112 93 129
-112 111 113 94 130
-113 112 114 95 131
-114 132 113 115 96
-115 133 114 116 97
-116 134 115 117 98
-117 99 135 116 118
-118 100 136 117 119
-119 101 137 118 120
-120 121 102 138 119
-121 122 103 139 120
-122 121 123 104 140
-123 122 124 105 141
-124 123 125 106 142
-125 143 124 126 107
-126 144 125 127 108
-127 145 126 128 109
-128 110 146 127 129
-129 111 147 128 130
-130 112 148 129 131
-131 132 113 149 130
-132 133 114 150 131
-133 132 134 115 151
-134 133 135 116 152
-135 134 136 117 153
-136 154 135 137 118
-137 155 136 138 119
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-139 121 157 138 140
-140 122 158 139 141
-141 123 159 140 142
-142 143 124 160 141
-143 144 125 161 142
-144 143 145 126 162
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-150 132 168 149 151
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-157 156 158 139 175
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-219 220 201 237 218
-220 221 202 238 219
-221 220 222 203 239
-222 221 223 204 240
-223 222 224 205 241
-224 242 223 225 206
-225 243 224 226 207
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-227 209 245 226 228
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-230 231 212 248 229
-231 232 213 249 230
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-233 232 234 215 251
-234 233 235 216 252
-235 253 234 236 217
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-239 221 257 238 240
-240 222 258 239 241
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-244 243 245 226 262
-245 244 246 227 263
-246 264 245 247 228
-247 265 246 248 229
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-250 232 268 249 251
-251 233 269 250 252
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-259 277 258 260 241
-260 242 278 259 261
-261 243 279 260 262
-262 244 280 261 263
-263 264 245 281 262
-264 265 246 282 263
-265 264 266 247 283
-266 265 267 248 284
-267 266 268 249 285
-268 286 267 269 250
-269 287 268 270 251
-270 288 269 271 252
-271 253 289 270 272
-272 254 290 271 273
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-275 276 257 293 274
-276 275 277 258 294
-277 276 278 259 295
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-286 287 268 304 285
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-290 308 289 291 272
-291 309 290 292 273
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-295 277 313 294 296
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-300 299 301 282 318
-301 319 300 302 283
-302 320 301 303 284
-303 321 302 304 285
-304 286 322 303 305
-305 287 323 304 306
-306 1 288 305 307
-307 308 2 289 306
-308 309 3 290 307
-309 308 310 4 291
-310 309 311 5 292
-311 310 312 6 293
-312 311 313 7 294
-313 312 314 8 295
-314 313 315 9 296
-315 297 314 316 10
-316 11 298 315 317
-317 12 299 316 318
-318 319 13 300 317
-319 320 14 301 318
-320 319 321 15 302
-321 320 322 16 303
-322 321 323 17 304
-323 1 322 18 305
0

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